TSTP Solution File: SWC239-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC239-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:06:26 EDT 2024
% Result : Unsatisfiable 17.82s 2.97s
% Output : Refutation 18.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1528
% Syntax : Number of formulae : 4550 ( 244 unt; 0 def)
% Number of atoms : 15896 (3069 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 20354 (9008 ~;10009 |; 0 &)
% (1337 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1358 (1356 usr;1338 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 8 con; 0-3 aty)
% Number of variables : 4469 (4469 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35486,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f253,f258,f267,f272,f278,f279,f284,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f485,f489,f494,f498,f503,f507,f511,f515,f519,f523,f527,f532,f536,f540,f544,f548,f552,f556,f560,f564,f568,f572,f576,f580,f584,f588,f592,f596,f603,f623,f629,f634,f639,f645,f649,f654,f658,f662,f666,f670,f677,f688,f692,f727,f761,f765,f769,f773,f777,f781,f804,f808,f812,f816,f820,f824,f825,f829,f833,f837,f841,f845,f849,f856,f860,f865,f869,f873,f877,f881,f885,f889,f893,f897,f901,f905,f909,f926,f937,f941,f945,f949,f1019,f1023,f1027,f1031,f1035,f1039,f1043,f1047,f1052,f1056,f1060,f1064,f1101,f1105,f1109,f1113,f1117,f1121,f1126,f1130,f1134,f1194,f1198,f1202,f1206,f1210,f1214,f1218,f1222,f1226,f1230,f1235,f1271,f1275,f1279,f1283,f1329,f1333,f1338,f1342,f1346,f1350,f1354,f1358,f1440,f1444,f1448,f1452,f1456,f1460,f1464,f1474,f1513,f1517,f1533,f1537,f1541,f1545,f1549,f1553,f1557,f1694,f1764,f1770,f1777,f1784,f1788,f1793,f1803,f1807,f1811,f1897,f1903,f1909,f1949,f2023,f2065,f2105,f2144,f2181,f2185,f2222,f2261,f2332,f2336,f2375,f2379,f2454,f2459,f2465,f2503,f2507,f2515,f2523,f2527,f2531,f2536,f2615,f2656,f2695,f2699,f2739,f2744,f2771,f2848,f2859,f2864,f2875,f2886,f2897,f2909,f2918,f2923,f2929,f2963,f2969,f2980,f2987,f2991,f2995,f2999,f3003,f3007,f3011,f3015,f3020,f3108,f3112,f3177,f3181,f3185,f3189,f3193,f3197,f3201,f3205,f3213,f3217,f3221,f3225,f3229,f3233,f3237,f3241,f3245,f3249,f3271,f3275,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3307,f3329,f3333,f3337,f3341,f3345,f3349,f3353,f3408,f3589,f3774,f4172,f4176,f4188,f4200,f4212,f4224,f4237,f4241,f4255,f4268,f4282,f4295,f4309,f4313,f4352,f4356,f4441,f4445,f4517,f4522,f4560,f4597,f4604,f4754,f4791,f4864,f4868,f4872,f4905,f4974,f5188,f5225,f5229,f5477,f5515,f5585,f5589,f5593,f5597,f5601,f5605,f5615,f5619,f5623,f5627,f5631,f5635,f5672,f5676,f5714,f5899,f6007,f6012,f6017,f6103,f6176,f6180,f6251,f6255,f6259,f6266,f6270,f6274,f6413,f6420,f6424,f6428,f6432,f6436,f6440,f6444,f6448,f6452,f6456,f6463,f6467,f6471,f6475,f6479,f6483,f6487,f6491,f6495,f6499,f6504,f6508,f6512,f6516,f6520,f6524,f6528,f6532,f6536,f6540,f6544,f6549,f6553,f6557,f6561,f6565,f6569,f6573,f6577,f6581,f6585,f6589,f6594,f8798,f8802,f8806,f8810,f8814,f8818,f8822,f8834,f8838,f8842,f8846,f8850,f8854,f8858,f8862,f8866,f8870,f8875,f8879,f8883,f8887,f8891,f8895,f8899,f8903,f8907,f8912,f8916,f8985,f8989,f9026,f9141,f9475,f9839,f9861,f9865,f9869,f9873,f9877,f9881,f9885,f9889,f9893,f9897,f9901,f9905,f9909,f9913,f9917,f9921,f9925,f9929,f9933,f9937,f9941,f9945,f9949,f9953,f9957,f9961,f9965,f9969,f9973,f9977,f9981,f9985,f9989,f9993,f9997,f10001,f10005,f10009,f10013,f10017,f10021,f10025,f10029,f10033,f10037,f10041,f10283,f10627,f10971,f11315,f11489,f11493,f11497,f11501,f11505,f11509,f11513,f11517,f11521,f11525,f11529,f11533,f11537,f11541,f11545,f11549,f11553,f11557,f11561,f11565,f11569,f11573,f11577,f11581,f11743,f12319,f12876,f12880,f12884,f12888,f12892,f12896,f12900,f12904,f12908,f12912,f12916,f12953,f13510,f13514,f13518,f13522,f13526,f13530,f13534,f13538,f13542,f13546,f13550,f13554,f13558,f13562,f13566,f13702,f13842,f13846,f13850,f13854,f13858,f13862,f13867,f13871,f13875,f13879,f13883,f13887,f13891,f13895,f13899,f13903,f13907,f13912,f13916,f13920,f13924,f13928,f13932,f13937,f14005,f14009,f14013,f14017,f14085,f14089,f14093,f14097,f14204,f14275,f14279,f14283,f14287,f14291,f14295,f14860,f14864,f14868,f14872,f14876,f15011,f15246,f15250,f15254,f15258,f15262,f15266,f15270,f15274,f15278,f15282,f15286,f15290,f15294,f15298,f15302,f15306,f15311,f15315,f15319,f15323,f15327,f15331,f15335,f15339,f15343,f15347,f15351,f15355,f15359,f15363,f15367,f15371,f15375,f15379,f15383,f15387,f15391,f15402,f15406,f15410,f15414,f15418,f15422,f15426,f15430,f15434,f15438,f15449,f15453,f15457,f15461,f15465,f15469,f15473,f15477,f15481,f15485,f15496,f15500,f15504,f15508,f15512,f15516,f15520,f15524,f15528,f15532,f15543,f15547,f15551,f15555,f15559,f15563,f15567,f15571,f15575,f15579,f15590,f15594,f15598,f15602,f15606,f15610,f15614,f15618,f15622,f15626,f15637,f15641,f15645,f15649,f15653,f15657,f15661,f15665,f15669,f15673,f15684,f15688,f15692,f15696,f15700,f15704,f15708,f15712,f15716,f15720,f15731,f15735,f15739,f15743,f15747,f15751,f15755,f15759,f15763,f15767,f15778,f15782,f15786,f15790,f15794,f15798,f15802,f16067,f16071,f16149,f16153,f16157,f16161,f16165,f16169,f16212,f16349,f16353,f16547,f16551,f16555,f16559,f16563,f16567,f16571,f16575,f16615,f16985,f16990,f16994,f16998,f17002,f17357,f17361,f17365,f17370,f17374,f17378,f17382,f17386,f17390,f17394,f17398,f17402,f17406,f17410,f17415,f17419,f17423,f17427,f17431,f17435,f17439,f17443,f17447,f17451,f17455,f17460,f17464,f17468,f17472,f17476,f17480,f17484,f17488,f17492,f17496,f17500,f17505,f17509,f17513,f17517,f17521,f17598,f17607,f17620,f17633,f17638,f17642,f17908,f17912,f18093,f18098,f18102,f18106,f18110,f18114,f18118,f18122,f18126,f18130,f18134,f18138,f18143,f18147,f18151,f18155,f18159,f18496,f19362,f19367,f19446,f19451,f19456,f19461,f19466,f19671,f19731,f19734,f19738,f19875,f19923,f20036,f20072,f20192,f20229,f20276,f20429,f20433,f20437,f20441,f20445,f20449,f20453,f20457,f20461,f20465,f20469,f20473,f20477,f20481,f20485,f20489,f20493,f20497,f20501,f20510,f20544,f20599,f20603,f20607,f20611,f20615,f20619,f20623,f20627,f20631,f20635,f20639,f20643,f20647,f20651,f20655,f20659,f20663,f20667,f20671,f20675,f20679,f20683,f20687,f20691,f20695,f20699,f20703,f21032,f21034,f21039,f21146,f21330,f21646,f21648,f21650,f21758,f21797,f21839,f21942,f22086,f22088,f22090,f22198,f22237,f22429,f22504,f22676,f22681,f22686,f22698,f22703,f22708,f22713,f22717,f22721,f22725,f22729,f22733,f22738,f22752,f22759,f22764,f22769,f22774,f22778,f22782,f22793,f22797,f22801,f22805,f22809,f22813,f22817,f22821,f22825,f22829,f22833,f22837,f22841,f22845,f22849,f22853,f22857,f22861,f22865,f22869,f22874,f22987,f23012,f23086,f23225,f25431,f25570,f25898,f26037,f26041,f26045,f26049,f26053,f26057,f26061,f26068,f26072,f26112,f26116,f26120,f26124,f26168,f26172,f26176,f26362,f26366,f26479,f26483,f26487,f26491,f26495,f26499,f26503,f26507,f26511,f26515,f26520,f26524,f26528,f26532,f26536,f26540,f27250,f27324,f27472,f27477,f27482,f27487,f27672,f27676,f27678,f27691,f27700,f27710,f27712,f27723,f27725,f27733,f27735,f27743,f27770,f27774,f27778,f27782,f27786,f27790,f27795,f27847,f27908,f27911,f28064,f28070,f28076,f28082,f28088,f28094,f28100,f28106,f28113,f28117,f28123,f28129,f28135,f28141,f28147,f28153,f28159,f28165,f28171,f28177,f28183,f28189,f28193,f28197,f28201,f28205,f28209,f28213,f28217,f28218,f28233,f28237,f28241,f28245,f28249,f28253,f28257,f28261,f28266,f28270,f28274,f28278,f28282,f28286,f28290,f28294,f28298,f28302,f28306,f28314,f28318,f28322,f28326,f28330,f28334,f28338,f28343,f28348,f28352,f28357,f28361,f28365,f28369,f28373,f28377,f28381,f28385,f28389,f28393,f28397,f28419,f28423,f28427,f28431,f28435,f28439,f28443,f28447,f28451,f28455,f28456,f28460,f28464,f28468,f28472,f28476,f28480,f28484,f28488,f28492,f28496,f28500,f28504,f28508,f28774,f29150,f30219,f30710,f31145,f31580,f31672,f31680,f31688,f31697,f31707,f31711,f31716,f31740,f31745,f31785,f31790,f31834,f31842,f31846,f31850,f31856,f31862,f31868,f31874,f31880,f31886,f31890,f31895,f31899,f31903,f31907,f31911,f31915,f31919,f31923,f31927,f31932,f31942,f31951,f31955,f31959,f31963,f31967,f31971,f31975,f31983,f31987,f31991,f31995,f31999,f32003,f32007,f32011,f32015,f32019,f32024,f32028,f32032,f32036,f32040,f32044,f32048,f32052,f32056,f32060,f32064,f32072,f32076,f32080,f32084,f32088,f32092,f32096,f32100,f32104,f32108,f32113,f32117,f32121,f32125,f32129,f32133,f32137,f32141,f32145,f32588,f33001,f33008,f33044,f33064,f33100,f33135,f33160,f33195,f33200,f33225,f33229,f33279,f33291,f33303,f33309,f33318,f33325,f33329,f33333,f33343,f33377,f33382,f33386,f33390,f33394,f33398,f33402,f33406,f33410,f33411,f33415,f33419,f33423,f33427,f33431,f33435,f33439,f33453,f33457,f33461,f33465,f33469,f33473,f33477,f33481,f33485,f33489,f33493,f33497,f33501,f33505,f33509,f33513,f33517,f33521,f33525,f33529,f33533,f33538,f33542,f33546,f33550,f33554,f33558,f33562,f33566,f33570,f33580,f33581,f33760,f33770,f33780,f33784,f33788,f33792,f33796,f33808,f33812,f33816,f33820,f33824,f33828,f33832,f33836,f33840,f33844,f33845,f34006,f34010,f34014,f34018,f34022,f34026,f34030,f34034,f34038,f34042,f34043,f34048,f34052,f34056,f34060,f34064,f34068,f34072,f34076,f34080,f34084,f34097,f34101,f34105,f34109,f34113,f34117,f34121,f34125,f34129,f34133,f34145,f34149,f34153,f34157,f34161,f34165,f34169,f34173,f34177,f34181,f34193,f34197,f34201,f34205,f34209,f34213,f34217,f34221,f34225,f34229,f34234,f34238,f34242,f34246,f34250,f34254,f34258,f34262,f34266,f34270,f34274,f34278,f34282,f34286,f34290,f34294,f34298,f34302,f34306,f34310,f34314,f34319,f34323,f34327,f34335,f34343,f34352,f34362,f34742,f35485]) ).
fof(f35485,plain,
( ~ spl0_1187
| ~ spl0_76
| ~ spl0_1337 ),
inference(avatar_split_clause,[],[f35113,f34739,f570,f33306]) ).
fof(f33306,plain,
( spl0_1187
<=> ssItem(sk5(nil,nil,sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1187])]) ).
fof(f570,plain,
( spl0_76
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f34739,plain,
( spl0_1337
<=> memberP(nil,sk5(nil,nil,sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1337])]) ).
fof(f35113,plain,
( ~ ssItem(sk5(nil,nil,sk6))
| ~ spl0_76
| ~ spl0_1337 ),
inference(resolution,[],[f34741,f571]) ).
fof(f571,plain,
( ! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f34741,plain,
( memberP(nil,sk5(nil,nil,sk6))
| ~ spl0_1337 ),
inference(avatar_component_clause,[],[f34739]) ).
fof(f34742,plain,
( spl0_1337
| ~ spl0_17
| ~ spl0_187
| ~ spl0_1242 ),
inference(avatar_split_clause,[],[f33764,f33758,f1471,f327,f34739]) ).
fof(f327,plain,
( spl0_17
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1471,plain,
( spl0_187
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f33758,plain,
( spl0_1242
<=> ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| memberP(nil,sk5(X0,nil,sk6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1242])]) ).
fof(f33764,plain,
( ~ ssList(nil)
| memberP(nil,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1242 ),
inference(trivial_inequality_removal,[],[f33761]) ).
fof(f33761,plain,
( sk3 != sk3
| ~ ssList(nil)
| memberP(nil,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1242 ),
inference(superposition,[],[f33759,f1473]) ).
fof(f1473,plain,
( sk3 = app(sk3,nil)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f33759,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| memberP(nil,sk5(X0,nil,sk6)) )
| ~ spl0_1242 ),
inference(avatar_component_clause,[],[f33758]) ).
fof(f34362,plain,
( ~ spl0_5
| ~ spl0_1
| spl0_1336
| ~ spl0_63
| ~ spl0_181
| ~ spl0_208
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f19925,f4515,f1900,f1442,f517,f34359,f245,f264]) ).
fof(f264,plain,
( spl0_5
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f245,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f34359,plain,
( spl0_1336
<=> sk3 = app(skaf42(sk3,sk6),app(sk3,skaf43(sk6,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1336])]) ).
fof(f517,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1442,plain,
( spl0_181
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1900,plain,
( spl0_208
<=> memberP(sk3,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f4515,plain,
( spl0_316
<=> ! [X0] :
( app(sk3,X0) = cons(sk6,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f19925,plain,
( sk3 = app(skaf42(sk3,sk6),app(sk3,skaf43(sk6,sk3)))
| ~ ssList(sk3)
| ~ ssItem(sk6)
| ~ spl0_63
| ~ spl0_181
| ~ spl0_208
| ~ spl0_316 ),
inference(forward_demodulation,[],[f1904,f4549]) ).
fof(f4549,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk6,skaf43(X0,X1))
| ~ spl0_63
| ~ spl0_316 ),
inference(resolution,[],[f4516,f518]) ).
fof(f518,plain,
( ! [X0,X1] : ssList(skaf43(X0,X1))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f4516,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk6,X0) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f4515]) ).
fof(f1904,plain,
( ~ ssList(sk3)
| ~ ssItem(sk6)
| sk3 = app(skaf42(sk3,sk6),cons(sk6,skaf43(sk6,sk3)))
| ~ spl0_181
| ~ spl0_208 ),
inference(resolution,[],[f1902,f1443]) ).
fof(f1443,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1902,plain,
( memberP(sk3,sk6)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f34352,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_1335
| ~ spl0_197
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f14497,f14277,f1691,f34350,f245,f327]) ).
fof(f34350,plain,
( spl0_1335
<=> ! [X0] :
( ~ frontsegP(X0,sk3)
| sk3 = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1335])]) ).
fof(f1691,plain,
( spl0_197
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f14277,plain,
( spl0_577
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f14497,plain,
( ! [X0] :
( ~ frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| sk3 = X0 )
| ~ spl0_197
| ~ spl0_577 ),
inference(duplicate_literal_removal,[],[f14494]) ).
fof(f14494,plain,
( ! [X0] :
( ~ frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(nil)
| sk3 = X0 )
| ~ spl0_197
| ~ spl0_577 ),
inference(superposition,[],[f14278,f1693]) ).
fof(f1693,plain,
( sk3 = app(nil,sk3)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f14278,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ ssList(X0)
| app(X0,X2) = X1 )
| ~ spl0_577 ),
inference(avatar_component_clause,[],[f14277]) ).
fof(f34343,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_1334
| ~ spl0_203
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f14496,f14277,f1790,f34341,f250,f327]) ).
fof(f250,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f34341,plain,
( spl0_1334
<=> ! [X0] :
( ~ frontsegP(X0,sk4)
| sk4 = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1334])]) ).
fof(f1790,plain,
( spl0_203
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f14496,plain,
( ! [X0] :
( ~ frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = X0 )
| ~ spl0_203
| ~ spl0_577 ),
inference(duplicate_literal_removal,[],[f14495]) ).
fof(f14495,plain,
( ! [X0] :
( ~ frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = X0 )
| ~ spl0_203
| ~ spl0_577 ),
inference(superposition,[],[f14278,f1792]) ).
fof(f1792,plain,
( sk4 = app(nil,sk4)
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f34335,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_1333
| ~ spl0_187
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f14391,f14273,f1471,f34333,f245,f327]) ).
fof(f34333,plain,
( spl0_1333
<=> ! [X0] :
( ~ rearsegP(X0,sk3)
| sk3 = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1333])]) ).
fof(f14273,plain,
( spl0_576
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f14391,plain,
( ! [X0] :
( ~ rearsegP(X0,sk3)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| sk3 = X0 )
| ~ spl0_187
| ~ spl0_576 ),
inference(duplicate_literal_removal,[],[f14329]) ).
fof(f14329,plain,
( ! [X0] :
( ~ rearsegP(X0,sk3)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(nil)
| sk3 = X0 )
| ~ spl0_187
| ~ spl0_576 ),
inference(superposition,[],[f14274,f1473]) ).
fof(f14274,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X1,app(X2,X0))
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ ssList(X0)
| app(X2,X0) = X1 )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f14273]) ).
fof(f34327,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_1332
| ~ spl0_190
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f14390,f14273,f1530,f34325,f250,f327]) ).
fof(f34325,plain,
( spl0_1332
<=> ! [X0] :
( ~ rearsegP(X0,sk4)
| sk4 = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1332])]) ).
fof(f1530,plain,
( spl0_190
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f14390,plain,
( ! [X0] :
( ~ rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = X0 )
| ~ spl0_190
| ~ spl0_576 ),
inference(duplicate_literal_removal,[],[f14330]) ).
fof(f14330,plain,
( ! [X0] :
( ~ rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = X0 )
| ~ spl0_190
| ~ spl0_576 ),
inference(superposition,[],[f14274,f1532]) ).
fof(f1532,plain,
( sk4 = app(sk4,nil)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f34323,plain,
( spl0_1331
| ~ spl0_2
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f11484,f10039,f250,f34321]) ).
fof(f34321,plain,
( spl0_1331
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf51(X1),sk4),X0) = app(skaf51(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1331])]) ).
fof(f10039,plain,
( spl0_484
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf51(X2),X1),X0) = app(skaf51(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f11484,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf51(X1),sk4),X0) = app(skaf51(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_484 ),
inference(resolution,[],[f10040,f252]) ).
fof(f252,plain,
( ssList(sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f10040,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf51(X2),X1),X0) = app(skaf51(X2),app(X1,X0)) )
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f10039]) ).
fof(f34319,plain,
( spl0_1330
| ~ spl0_17
| ~ spl0_187
| ~ spl0_1241 ),
inference(avatar_split_clause,[],[f33754,f33578,f1471,f327,f34316]) ).
fof(f34316,plain,
( spl0_1330
<=> lt(sk6,sk5(nil,nil,sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1330])]) ).
fof(f33578,plain,
( spl0_1241
<=> ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| lt(sk6,sk5(X0,nil,sk6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1241])]) ).
fof(f33754,plain,
( ~ ssList(nil)
| lt(sk6,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1241 ),
inference(trivial_inequality_removal,[],[f33751]) ).
fof(f33751,plain,
( sk3 != sk3
| ~ ssList(nil)
| lt(sk6,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1241 ),
inference(superposition,[],[f33579,f1473]) ).
fof(f33579,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| lt(sk6,sk5(X0,nil,sk6)) )
| ~ spl0_1241 ),
inference(avatar_component_clause,[],[f33578]) ).
fof(f34314,plain,
( spl0_1329
| ~ spl0_1
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f11483,f10039,f245,f34312]) ).
fof(f34312,plain,
( spl0_1329
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf51(X1),sk3),X0) = app(skaf51(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1329])]) ).
fof(f11483,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf51(X1),sk3),X0) = app(skaf51(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_484 ),
inference(resolution,[],[f10040,f247]) ).
fof(f247,plain,
( ssList(sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f34310,plain,
( spl0_1328
| ~ spl0_2
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f11450,f10035,f250,f34308]) ).
fof(f34308,plain,
( spl0_1328
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf52(X1),sk4),X0) = app(skaf52(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1328])]) ).
fof(f10035,plain,
( spl0_483
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf52(X2),X1),X0) = app(skaf52(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f11450,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf52(X1),sk4),X0) = app(skaf52(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_483 ),
inference(resolution,[],[f10036,f252]) ).
fof(f10036,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf52(X2),X1),X0) = app(skaf52(X2),app(X1,X0)) )
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f10035]) ).
fof(f34306,plain,
( spl0_1327
| ~ spl0_1
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f11449,f10035,f245,f34304]) ).
fof(f34304,plain,
( spl0_1327
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf52(X1),sk3),X0) = app(skaf52(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1327])]) ).
fof(f11449,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf52(X1),sk3),X0) = app(skaf52(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_483 ),
inference(resolution,[],[f10036,f247]) ).
fof(f34302,plain,
( spl0_1326
| ~ spl0_2
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f11416,f10031,f250,f34300]) ).
fof(f34300,plain,
( spl0_1326
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf53(X1),sk4),X0) = app(skaf53(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1326])]) ).
fof(f10031,plain,
( spl0_482
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf53(X2),X1),X0) = app(skaf53(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f11416,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf53(X1),sk4),X0) = app(skaf53(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_482 ),
inference(resolution,[],[f10032,f252]) ).
fof(f10032,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf53(X2),X1),X0) = app(skaf53(X2),app(X1,X0)) )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f10031]) ).
fof(f34298,plain,
( spl0_1325
| ~ spl0_1
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f11415,f10031,f245,f34296]) ).
fof(f34296,plain,
( spl0_1325
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf53(X1),sk3),X0) = app(skaf53(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1325])]) ).
fof(f11415,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf53(X1),sk3),X0) = app(skaf53(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_482 ),
inference(resolution,[],[f10032,f247]) ).
fof(f34294,plain,
( spl0_1324
| ~ spl0_2
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f11382,f10023,f250,f34292]) ).
fof(f34292,plain,
( spl0_1324
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf56(X1),sk4),X0) = app(skaf56(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1324])]) ).
fof(f10023,plain,
( spl0_480
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf56(X2),X1),X0) = app(skaf56(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f11382,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf56(X1),sk4),X0) = app(skaf56(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_480 ),
inference(resolution,[],[f10024,f252]) ).
fof(f10024,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf56(X2),X1),X0) = app(skaf56(X2),app(X1,X0)) )
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f10023]) ).
fof(f34290,plain,
( spl0_1323
| ~ spl0_1
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f11381,f10023,f245,f34288]) ).
fof(f34288,plain,
( spl0_1323
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf56(X1),sk3),X0) = app(skaf56(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1323])]) ).
fof(f11381,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf56(X1),sk3),X0) = app(skaf56(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_480 ),
inference(resolution,[],[f10024,f247]) ).
fof(f34286,plain,
( spl0_1322
| ~ spl0_2
| ~ spl0_479 ),
inference(avatar_split_clause,[],[f11348,f10019,f250,f34284]) ).
fof(f34284,plain,
( spl0_1322
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf57(X1),sk4),X0) = app(skaf57(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1322])]) ).
fof(f10019,plain,
( spl0_479
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf57(X2),X1),X0) = app(skaf57(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f11348,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf57(X1),sk4),X0) = app(skaf57(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_479 ),
inference(resolution,[],[f10020,f252]) ).
fof(f10020,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf57(X2),X1),X0) = app(skaf57(X2),app(X1,X0)) )
| ~ spl0_479 ),
inference(avatar_component_clause,[],[f10019]) ).
fof(f34282,plain,
( spl0_1321
| ~ spl0_1
| ~ spl0_479 ),
inference(avatar_split_clause,[],[f11347,f10019,f245,f34280]) ).
fof(f34280,plain,
( spl0_1321
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf57(X1),sk3),X0) = app(skaf57(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1321])]) ).
fof(f11347,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf57(X1),sk3),X0) = app(skaf57(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_479 ),
inference(resolution,[],[f10020,f247]) ).
fof(f34278,plain,
( spl0_1320
| ~ spl0_2
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f11310,f10015,f250,f34276]) ).
fof(f34276,plain,
( spl0_1320
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf58(X1),sk4),X0) = app(skaf58(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1320])]) ).
fof(f10015,plain,
( spl0_478
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf58(X2),X1),X0) = app(skaf58(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f11310,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf58(X1),sk4),X0) = app(skaf58(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_478 ),
inference(resolution,[],[f10016,f252]) ).
fof(f10016,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf58(X2),X1),X0) = app(skaf58(X2),app(X1,X0)) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f10015]) ).
fof(f34274,plain,
( spl0_1319
| ~ spl0_1
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f11309,f10015,f245,f34272]) ).
fof(f34272,plain,
( spl0_1319
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf58(X1),sk3),X0) = app(skaf58(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1319])]) ).
fof(f11309,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf58(X1),sk3),X0) = app(skaf58(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_478 ),
inference(resolution,[],[f10016,f247]) ).
fof(f34270,plain,
( spl0_1318
| ~ spl0_2
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f11276,f10011,f250,f34268]) ).
fof(f34268,plain,
( spl0_1318
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf61(X1),sk4),X0) = app(skaf61(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1318])]) ).
fof(f10011,plain,
( spl0_477
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf61(X2),X1),X0) = app(skaf61(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f11276,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf61(X1),sk4),X0) = app(skaf61(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_477 ),
inference(resolution,[],[f10012,f252]) ).
fof(f10012,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf61(X2),X1),X0) = app(skaf61(X2),app(X1,X0)) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f10011]) ).
fof(f34266,plain,
( spl0_1317
| ~ spl0_1
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f11275,f10011,f245,f34264]) ).
fof(f34264,plain,
( spl0_1317
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf61(X1),sk3),X0) = app(skaf61(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1317])]) ).
fof(f11275,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf61(X1),sk3),X0) = app(skaf61(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_477 ),
inference(resolution,[],[f10012,f247]) ).
fof(f34262,plain,
( spl0_1316
| ~ spl0_2
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f11242,f10007,f250,f34260]) ).
fof(f34260,plain,
( spl0_1316
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf62(X1),sk4),X0) = app(skaf62(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1316])]) ).
fof(f10007,plain,
( spl0_476
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf62(X2),X1),X0) = app(skaf62(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f11242,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf62(X1),sk4),X0) = app(skaf62(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_476 ),
inference(resolution,[],[f10008,f252]) ).
fof(f10008,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf62(X2),X1),X0) = app(skaf62(X2),app(X1,X0)) )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f10007]) ).
fof(f34258,plain,
( spl0_1315
| ~ spl0_1
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f11241,f10007,f245,f34256]) ).
fof(f34256,plain,
( spl0_1315
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf62(X1),sk3),X0) = app(skaf62(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1315])]) ).
fof(f11241,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf62(X1),sk3),X0) = app(skaf62(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_476 ),
inference(resolution,[],[f10008,f247]) ).
fof(f34254,plain,
( spl0_1314
| ~ spl0_2
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f11208,f10003,f250,f34252]) ).
fof(f34252,plain,
( spl0_1314
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf63(X1),sk4),X0) = app(skaf63(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1314])]) ).
fof(f10003,plain,
( spl0_475
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf63(X2),X1),X0) = app(skaf63(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f11208,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf63(X1),sk4),X0) = app(skaf63(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_475 ),
inference(resolution,[],[f10004,f252]) ).
fof(f10004,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf63(X2),X1),X0) = app(skaf63(X2),app(X1,X0)) )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f10003]) ).
fof(f34250,plain,
( spl0_1313
| ~ spl0_1
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f11207,f10003,f245,f34248]) ).
fof(f34248,plain,
( spl0_1313
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf63(X1),sk3),X0) = app(skaf63(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1313])]) ).
fof(f11207,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf63(X1),sk3),X0) = app(skaf63(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_475 ),
inference(resolution,[],[f10004,f247]) ).
fof(f34246,plain,
( spl0_1312
| ~ spl0_2
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f11174,f9999,f250,f34244]) ).
fof(f34244,plain,
( spl0_1312
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf66(X1),sk4),X0) = app(skaf66(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1312])]) ).
fof(f9999,plain,
( spl0_474
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf66(X2),X1),X0) = app(skaf66(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f11174,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf66(X1),sk4),X0) = app(skaf66(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_474 ),
inference(resolution,[],[f10000,f252]) ).
fof(f10000,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf66(X2),X1),X0) = app(skaf66(X2),app(X1,X0)) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f9999]) ).
fof(f34242,plain,
( spl0_1311
| ~ spl0_1
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f11173,f9999,f245,f34240]) ).
fof(f34240,plain,
( spl0_1311
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf66(X1),sk3),X0) = app(skaf66(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1311])]) ).
fof(f11173,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf66(X1),sk3),X0) = app(skaf66(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_474 ),
inference(resolution,[],[f10000,f247]) ).
fof(f34238,plain,
( spl0_1310
| ~ spl0_2
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f11140,f9995,f250,f34236]) ).
fof(f34236,plain,
( spl0_1310
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf67(X1),sk4),X0) = app(skaf67(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1310])]) ).
fof(f9995,plain,
( spl0_473
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf67(X2),X1),X0) = app(skaf67(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f11140,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf67(X1),sk4),X0) = app(skaf67(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_473 ),
inference(resolution,[],[f9996,f252]) ).
fof(f9996,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf67(X2),X1),X0) = app(skaf67(X2),app(X1,X0)) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f9995]) ).
fof(f34234,plain,
( ~ spl0_1309
| ~ spl0_17
| ~ spl0_187
| ~ spl0_1240 ),
inference(avatar_split_clause,[],[f33574,f33568,f1471,f327,f34231]) ).
fof(f34231,plain,
( spl0_1309
<=> leq(sk6,sk5(nil,nil,sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1309])]) ).
fof(f33568,plain,
( spl0_1240
<=> ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ~ leq(sk6,sk5(X0,nil,sk6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1240])]) ).
fof(f33574,plain,
( ~ ssList(nil)
| ~ leq(sk6,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1240 ),
inference(trivial_inequality_removal,[],[f33571]) ).
fof(f33571,plain,
( sk3 != sk3
| ~ ssList(nil)
| ~ leq(sk6,sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1240 ),
inference(superposition,[],[f33569,f1473]) ).
fof(f33569,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ~ leq(sk6,sk5(X0,nil,sk6)) )
| ~ spl0_1240 ),
inference(avatar_component_clause,[],[f33568]) ).
fof(f34229,plain,
( spl0_1308
| ~ spl0_1
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f11139,f9995,f245,f34227]) ).
fof(f34227,plain,
( spl0_1308
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf67(X1),sk3),X0) = app(skaf67(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1308])]) ).
fof(f11139,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf67(X1),sk3),X0) = app(skaf67(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_473 ),
inference(resolution,[],[f9996,f247]) ).
fof(f34225,plain,
( spl0_1307
| ~ spl0_2
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f11106,f9991,f250,f34223]) ).
fof(f34223,plain,
( spl0_1307
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf68(X1),sk4),X0) = app(skaf68(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1307])]) ).
fof(f9991,plain,
( spl0_472
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf68(X2),X1),X0) = app(skaf68(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f11106,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf68(X1),sk4),X0) = app(skaf68(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_472 ),
inference(resolution,[],[f9992,f252]) ).
fof(f9992,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf68(X2),X1),X0) = app(skaf68(X2),app(X1,X0)) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f9991]) ).
fof(f34221,plain,
( spl0_1306
| ~ spl0_1
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f11105,f9991,f245,f34219]) ).
fof(f34219,plain,
( spl0_1306
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf68(X1),sk3),X0) = app(skaf68(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1306])]) ).
fof(f11105,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf68(X1),sk3),X0) = app(skaf68(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_472 ),
inference(resolution,[],[f9992,f247]) ).
fof(f34217,plain,
( spl0_1305
| ~ spl0_2
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f11072,f9987,f250,f34215]) ).
fof(f34215,plain,
( spl0_1305
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf71(X1),sk4),X0) = app(skaf71(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1305])]) ).
fof(f9987,plain,
( spl0_471
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf71(X2),X1),X0) = app(skaf71(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f11072,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf71(X1),sk4),X0) = app(skaf71(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_471 ),
inference(resolution,[],[f9988,f252]) ).
fof(f9988,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf71(X2),X1),X0) = app(skaf71(X2),app(X1,X0)) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f9987]) ).
fof(f34213,plain,
( spl0_1304
| ~ spl0_1
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f11071,f9987,f245,f34211]) ).
fof(f34211,plain,
( spl0_1304
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf71(X1),sk3),X0) = app(skaf71(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1304])]) ).
fof(f11071,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf71(X1),sk3),X0) = app(skaf71(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_471 ),
inference(resolution,[],[f9988,f247]) ).
fof(f34209,plain,
( spl0_1303
| ~ spl0_2
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f11038,f9979,f250,f34207]) ).
fof(f34207,plain,
( spl0_1303
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf72(X1),sk4),X0) = app(skaf72(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1303])]) ).
fof(f9979,plain,
( spl0_469
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf72(X2),X1),X0) = app(skaf72(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f11038,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf72(X1),sk4),X0) = app(skaf72(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_469 ),
inference(resolution,[],[f9980,f252]) ).
fof(f9980,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf72(X2),X1),X0) = app(skaf72(X2),app(X1,X0)) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f9979]) ).
fof(f34205,plain,
( spl0_1302
| ~ spl0_1
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f11037,f9979,f245,f34203]) ).
fof(f34203,plain,
( spl0_1302
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf72(X1),sk3),X0) = app(skaf72(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1302])]) ).
fof(f11037,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf72(X1),sk3),X0) = app(skaf72(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_469 ),
inference(resolution,[],[f9980,f247]) ).
fof(f34201,plain,
( spl0_1301
| ~ spl0_2
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f11004,f9975,f250,f34199]) ).
fof(f34199,plain,
( spl0_1301
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf73(X1),sk4),X0) = app(skaf73(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1301])]) ).
fof(f9975,plain,
( spl0_468
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf73(X2),X1),X0) = app(skaf73(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f11004,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf73(X1),sk4),X0) = app(skaf73(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_468 ),
inference(resolution,[],[f9976,f252]) ).
fof(f9976,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf73(X2),X1),X0) = app(skaf73(X2),app(X1,X0)) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f9975]) ).
fof(f34197,plain,
( spl0_1300
| ~ spl0_1
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f11003,f9975,f245,f34195]) ).
fof(f34195,plain,
( spl0_1300
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf73(X1),sk3),X0) = app(skaf73(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1300])]) ).
fof(f11003,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf73(X1),sk3),X0) = app(skaf73(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_468 ),
inference(resolution,[],[f9976,f247]) ).
fof(f34193,plain,
( spl0_1299
| ~ spl0_2
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f10966,f9971,f250,f34191]) ).
fof(f34191,plain,
( spl0_1299
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf75(X1),sk4),X0) = app(skaf75(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1299])]) ).
fof(f9971,plain,
( spl0_467
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf75(X2),X1),X0) = app(skaf75(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f10966,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf75(X1),sk4),X0) = app(skaf75(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_467 ),
inference(resolution,[],[f9972,f252]) ).
fof(f9972,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf75(X2),X1),X0) = app(skaf75(X2),app(X1,X0)) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f9971]) ).
fof(f34181,plain,
( spl0_1298
| ~ spl0_1
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f10965,f9971,f245,f34179]) ).
fof(f34179,plain,
( spl0_1298
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf75(X1),sk3),X0) = app(skaf75(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1298])]) ).
fof(f10965,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf75(X1),sk3),X0) = app(skaf75(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_467 ),
inference(resolution,[],[f9972,f247]) ).
fof(f34177,plain,
( spl0_1297
| ~ spl0_2
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f10932,f9967,f250,f34175]) ).
fof(f34175,plain,
( spl0_1297
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf76(X1),sk4),X0) = app(skaf76(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1297])]) ).
fof(f9967,plain,
( spl0_466
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf76(X2),X1),X0) = app(skaf76(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f10932,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf76(X1),sk4),X0) = app(skaf76(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_466 ),
inference(resolution,[],[f9968,f252]) ).
fof(f9968,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf76(X2),X1),X0) = app(skaf76(X2),app(X1,X0)) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f9967]) ).
fof(f34173,plain,
( spl0_1296
| ~ spl0_1
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f10931,f9967,f245,f34171]) ).
fof(f34171,plain,
( spl0_1296
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf76(X1),sk3),X0) = app(skaf76(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1296])]) ).
fof(f10931,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf76(X1),sk3),X0) = app(skaf76(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_466 ),
inference(resolution,[],[f9968,f247]) ).
fof(f34169,plain,
( spl0_1295
| ~ spl0_2
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f10898,f9963,f250,f34167]) ).
fof(f34167,plain,
( spl0_1295
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf77(X1),sk4),X0) = app(skaf77(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1295])]) ).
fof(f9963,plain,
( spl0_465
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf77(X2),X1),X0) = app(skaf77(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f10898,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf77(X1),sk4),X0) = app(skaf77(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_465 ),
inference(resolution,[],[f9964,f252]) ).
fof(f9964,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf77(X2),X1),X0) = app(skaf77(X2),app(X1,X0)) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f9963]) ).
fof(f34165,plain,
( spl0_1294
| ~ spl0_1
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f10897,f9963,f245,f34163]) ).
fof(f34163,plain,
( spl0_1294
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf77(X1),sk3),X0) = app(skaf77(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1294])]) ).
fof(f10897,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf77(X1),sk3),X0) = app(skaf77(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_465 ),
inference(resolution,[],[f9964,f247]) ).
fof(f34161,plain,
( spl0_1293
| ~ spl0_2
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f10864,f9959,f250,f34159]) ).
fof(f34159,plain,
( spl0_1293
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf80(X1),sk4),X0) = app(skaf80(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1293])]) ).
fof(f9959,plain,
( spl0_464
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf80(X2),X1),X0) = app(skaf80(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f10864,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf80(X1),sk4),X0) = app(skaf80(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_464 ),
inference(resolution,[],[f9960,f252]) ).
fof(f9960,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf80(X2),X1),X0) = app(skaf80(X2),app(X1,X0)) )
| ~ spl0_464 ),
inference(avatar_component_clause,[],[f9959]) ).
fof(f34157,plain,
( spl0_1292
| ~ spl0_1
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f10863,f9959,f245,f34155]) ).
fof(f34155,plain,
( spl0_1292
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf80(X1),sk3),X0) = app(skaf80(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1292])]) ).
fof(f10863,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf80(X1),sk3),X0) = app(skaf80(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_464 ),
inference(resolution,[],[f9960,f247]) ).
fof(f34153,plain,
( spl0_1291
| ~ spl0_2
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f10830,f9955,f250,f34151]) ).
fof(f34151,plain,
( spl0_1291
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf81(X1),sk4),X0) = app(skaf81(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1291])]) ).
fof(f9955,plain,
( spl0_463
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf81(X2),X1),X0) = app(skaf81(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f10830,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf81(X1),sk4),X0) = app(skaf81(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_463 ),
inference(resolution,[],[f9956,f252]) ).
fof(f9956,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf81(X2),X1),X0) = app(skaf81(X2),app(X1,X0)) )
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f9955]) ).
fof(f34149,plain,
( spl0_1290
| ~ spl0_1
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f10829,f9955,f245,f34147]) ).
fof(f34147,plain,
( spl0_1290
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf81(X1),sk3),X0) = app(skaf81(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1290])]) ).
fof(f10829,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf81(X1),sk3),X0) = app(skaf81(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_463 ),
inference(resolution,[],[f9956,f247]) ).
fof(f34145,plain,
( spl0_1289
| ~ spl0_2
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f10796,f9951,f250,f34143]) ).
fof(f34143,plain,
( spl0_1289
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf82(X1),sk4),X0) = app(skaf82(X1),app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1289])]) ).
fof(f9951,plain,
( spl0_462
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf82(X2),X1),X0) = app(skaf82(X2),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f10796,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf82(X1),sk4),X0) = app(skaf82(X1),app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_462 ),
inference(resolution,[],[f9952,f252]) ).
fof(f9952,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf82(X2),X1),X0) = app(skaf82(X2),app(X1,X0)) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f9951]) ).
fof(f34133,plain,
( spl0_1288
| ~ spl0_1
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f10795,f9951,f245,f34131]) ).
fof(f34131,plain,
( spl0_1288
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf82(X1),sk3),X0) = app(skaf82(X1),app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1288])]) ).
fof(f10795,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(skaf82(X1),sk3),X0) = app(skaf82(X1),app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_462 ),
inference(resolution,[],[f9952,f247]) ).
fof(f34129,plain,
( spl0_1287
| ~ spl0_2
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f10762,f9947,f250,f34127]) ).
fof(f34127,plain,
( spl0_1287
<=> ! [X0] :
( nil = skaf51(X0)
| tl(app(skaf51(X0),sk4)) = app(tl(skaf51(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1287])]) ).
fof(f9947,plain,
( spl0_461
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| tl(app(skaf51(X1),X0)) = app(tl(skaf51(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f10762,plain,
( ! [X0] :
( nil = skaf51(X0)
| tl(app(skaf51(X0),sk4)) = app(tl(skaf51(X0)),sk4) )
| ~ spl0_2
| ~ spl0_461 ),
inference(resolution,[],[f9948,f252]) ).
fof(f9948,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| tl(app(skaf51(X1),X0)) = app(tl(skaf51(X1)),X0) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f9947]) ).
fof(f34125,plain,
( spl0_1286
| ~ spl0_1
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f10761,f9947,f245,f34123]) ).
fof(f34123,plain,
( spl0_1286
<=> ! [X0] :
( nil = skaf51(X0)
| tl(app(skaf51(X0),sk3)) = app(tl(skaf51(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1286])]) ).
fof(f10761,plain,
( ! [X0] :
( nil = skaf51(X0)
| tl(app(skaf51(X0),sk3)) = app(tl(skaf51(X0)),sk3) )
| ~ spl0_1
| ~ spl0_461 ),
inference(resolution,[],[f9948,f247]) ).
fof(f34121,plain,
( spl0_1285
| ~ spl0_2
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f10728,f9943,f250,f34119]) ).
fof(f34119,plain,
( spl0_1285
<=> ! [X0] :
( nil = skaf52(X0)
| tl(app(skaf52(X0),sk4)) = app(tl(skaf52(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1285])]) ).
fof(f9943,plain,
( spl0_460
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| tl(app(skaf52(X1),X0)) = app(tl(skaf52(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f10728,plain,
( ! [X0] :
( nil = skaf52(X0)
| tl(app(skaf52(X0),sk4)) = app(tl(skaf52(X0)),sk4) )
| ~ spl0_2
| ~ spl0_460 ),
inference(resolution,[],[f9944,f252]) ).
fof(f9944,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| tl(app(skaf52(X1),X0)) = app(tl(skaf52(X1)),X0) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f9943]) ).
fof(f34117,plain,
( spl0_1284
| ~ spl0_1
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f10727,f9943,f245,f34115]) ).
fof(f34115,plain,
( spl0_1284
<=> ! [X0] :
( nil = skaf52(X0)
| tl(app(skaf52(X0),sk3)) = app(tl(skaf52(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1284])]) ).
fof(f10727,plain,
( ! [X0] :
( nil = skaf52(X0)
| tl(app(skaf52(X0),sk3)) = app(tl(skaf52(X0)),sk3) )
| ~ spl0_1
| ~ spl0_460 ),
inference(resolution,[],[f9944,f247]) ).
fof(f34113,plain,
( spl0_1283
| ~ spl0_2
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f10694,f9935,f250,f34111]) ).
fof(f34111,plain,
( spl0_1283
<=> ! [X0] :
( nil = skaf53(X0)
| tl(app(skaf53(X0),sk4)) = app(tl(skaf53(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1283])]) ).
fof(f9935,plain,
( spl0_458
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| tl(app(skaf53(X1),X0)) = app(tl(skaf53(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f10694,plain,
( ! [X0] :
( nil = skaf53(X0)
| tl(app(skaf53(X0),sk4)) = app(tl(skaf53(X0)),sk4) )
| ~ spl0_2
| ~ spl0_458 ),
inference(resolution,[],[f9936,f252]) ).
fof(f9936,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| tl(app(skaf53(X1),X0)) = app(tl(skaf53(X1)),X0) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f9935]) ).
fof(f34109,plain,
( spl0_1282
| ~ spl0_1
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f10693,f9935,f245,f34107]) ).
fof(f34107,plain,
( spl0_1282
<=> ! [X0] :
( nil = skaf53(X0)
| tl(app(skaf53(X0),sk3)) = app(tl(skaf53(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1282])]) ).
fof(f10693,plain,
( ! [X0] :
( nil = skaf53(X0)
| tl(app(skaf53(X0),sk3)) = app(tl(skaf53(X0)),sk3) )
| ~ spl0_1
| ~ spl0_458 ),
inference(resolution,[],[f9936,f247]) ).
fof(f34105,plain,
( spl0_1281
| ~ spl0_2
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f10660,f9931,f250,f34103]) ).
fof(f34103,plain,
( spl0_1281
<=> ! [X0] :
( nil = skaf56(X0)
| tl(app(skaf56(X0),sk4)) = app(tl(skaf56(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1281])]) ).
fof(f9931,plain,
( spl0_457
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| tl(app(skaf56(X1),X0)) = app(tl(skaf56(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f10660,plain,
( ! [X0] :
( nil = skaf56(X0)
| tl(app(skaf56(X0),sk4)) = app(tl(skaf56(X0)),sk4) )
| ~ spl0_2
| ~ spl0_457 ),
inference(resolution,[],[f9932,f252]) ).
fof(f9932,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| tl(app(skaf56(X1),X0)) = app(tl(skaf56(X1)),X0) )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f9931]) ).
fof(f34101,plain,
( spl0_1280
| ~ spl0_1
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f10659,f9931,f245,f34099]) ).
fof(f34099,plain,
( spl0_1280
<=> ! [X0] :
( nil = skaf56(X0)
| tl(app(skaf56(X0),sk3)) = app(tl(skaf56(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1280])]) ).
fof(f10659,plain,
( ! [X0] :
( nil = skaf56(X0)
| tl(app(skaf56(X0),sk3)) = app(tl(skaf56(X0)),sk3) )
| ~ spl0_1
| ~ spl0_457 ),
inference(resolution,[],[f9932,f247]) ).
fof(f34097,plain,
( spl0_1279
| ~ spl0_2
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f10622,f9927,f250,f34095]) ).
fof(f34095,plain,
( spl0_1279
<=> ! [X0] :
( nil = skaf57(X0)
| tl(app(skaf57(X0),sk4)) = app(tl(skaf57(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1279])]) ).
fof(f9927,plain,
( spl0_456
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| tl(app(skaf57(X1),X0)) = app(tl(skaf57(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f10622,plain,
( ! [X0] :
( nil = skaf57(X0)
| tl(app(skaf57(X0),sk4)) = app(tl(skaf57(X0)),sk4) )
| ~ spl0_2
| ~ spl0_456 ),
inference(resolution,[],[f9928,f252]) ).
fof(f9928,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| tl(app(skaf57(X1),X0)) = app(tl(skaf57(X1)),X0) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f9927]) ).
fof(f34084,plain,
( spl0_1278
| ~ spl0_1
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f10621,f9927,f245,f34082]) ).
fof(f34082,plain,
( spl0_1278
<=> ! [X0] :
( nil = skaf57(X0)
| tl(app(skaf57(X0),sk3)) = app(tl(skaf57(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1278])]) ).
fof(f10621,plain,
( ! [X0] :
( nil = skaf57(X0)
| tl(app(skaf57(X0),sk3)) = app(tl(skaf57(X0)),sk3) )
| ~ spl0_1
| ~ spl0_456 ),
inference(resolution,[],[f9928,f247]) ).
fof(f34080,plain,
( spl0_1277
| ~ spl0_2
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f10588,f9923,f250,f34078]) ).
fof(f34078,plain,
( spl0_1277
<=> ! [X0] :
( nil = skaf58(X0)
| tl(app(skaf58(X0),sk4)) = app(tl(skaf58(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1277])]) ).
fof(f9923,plain,
( spl0_455
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| tl(app(skaf58(X1),X0)) = app(tl(skaf58(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f10588,plain,
( ! [X0] :
( nil = skaf58(X0)
| tl(app(skaf58(X0),sk4)) = app(tl(skaf58(X0)),sk4) )
| ~ spl0_2
| ~ spl0_455 ),
inference(resolution,[],[f9924,f252]) ).
fof(f9924,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| tl(app(skaf58(X1),X0)) = app(tl(skaf58(X1)),X0) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f9923]) ).
fof(f34076,plain,
( spl0_1276
| ~ spl0_1
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f10587,f9923,f245,f34074]) ).
fof(f34074,plain,
( spl0_1276
<=> ! [X0] :
( nil = skaf58(X0)
| tl(app(skaf58(X0),sk3)) = app(tl(skaf58(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1276])]) ).
fof(f10587,plain,
( ! [X0] :
( nil = skaf58(X0)
| tl(app(skaf58(X0),sk3)) = app(tl(skaf58(X0)),sk3) )
| ~ spl0_1
| ~ spl0_455 ),
inference(resolution,[],[f9924,f247]) ).
fof(f34072,plain,
( spl0_1275
| ~ spl0_2
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f10554,f9919,f250,f34070]) ).
fof(f34070,plain,
( spl0_1275
<=> ! [X0] :
( nil = skaf61(X0)
| tl(app(skaf61(X0),sk4)) = app(tl(skaf61(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1275])]) ).
fof(f9919,plain,
( spl0_454
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| tl(app(skaf61(X1),X0)) = app(tl(skaf61(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f10554,plain,
( ! [X0] :
( nil = skaf61(X0)
| tl(app(skaf61(X0),sk4)) = app(tl(skaf61(X0)),sk4) )
| ~ spl0_2
| ~ spl0_454 ),
inference(resolution,[],[f9920,f252]) ).
fof(f9920,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| tl(app(skaf61(X1),X0)) = app(tl(skaf61(X1)),X0) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f9919]) ).
fof(f34068,plain,
( spl0_1274
| ~ spl0_1
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f10553,f9919,f245,f34066]) ).
fof(f34066,plain,
( spl0_1274
<=> ! [X0] :
( nil = skaf61(X0)
| tl(app(skaf61(X0),sk3)) = app(tl(skaf61(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1274])]) ).
fof(f10553,plain,
( ! [X0] :
( nil = skaf61(X0)
| tl(app(skaf61(X0),sk3)) = app(tl(skaf61(X0)),sk3) )
| ~ spl0_1
| ~ spl0_454 ),
inference(resolution,[],[f9920,f247]) ).
fof(f34064,plain,
( spl0_1273
| ~ spl0_2
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f10520,f9915,f250,f34062]) ).
fof(f34062,plain,
( spl0_1273
<=> ! [X0] :
( nil = skaf62(X0)
| tl(app(skaf62(X0),sk4)) = app(tl(skaf62(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1273])]) ).
fof(f9915,plain,
( spl0_453
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| tl(app(skaf62(X1),X0)) = app(tl(skaf62(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f10520,plain,
( ! [X0] :
( nil = skaf62(X0)
| tl(app(skaf62(X0),sk4)) = app(tl(skaf62(X0)),sk4) )
| ~ spl0_2
| ~ spl0_453 ),
inference(resolution,[],[f9916,f252]) ).
fof(f9916,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| tl(app(skaf62(X1),X0)) = app(tl(skaf62(X1)),X0) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f9915]) ).
fof(f34060,plain,
( spl0_1272
| ~ spl0_1
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f10519,f9915,f245,f34058]) ).
fof(f34058,plain,
( spl0_1272
<=> ! [X0] :
( nil = skaf62(X0)
| tl(app(skaf62(X0),sk3)) = app(tl(skaf62(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1272])]) ).
fof(f10519,plain,
( ! [X0] :
( nil = skaf62(X0)
| tl(app(skaf62(X0),sk3)) = app(tl(skaf62(X0)),sk3) )
| ~ spl0_1
| ~ spl0_453 ),
inference(resolution,[],[f9916,f247]) ).
fof(f34056,plain,
( spl0_1271
| ~ spl0_2
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f10486,f9911,f250,f34054]) ).
fof(f34054,plain,
( spl0_1271
<=> ! [X0] :
( nil = skaf63(X0)
| tl(app(skaf63(X0),sk4)) = app(tl(skaf63(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1271])]) ).
fof(f9911,plain,
( spl0_452
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| tl(app(skaf63(X1),X0)) = app(tl(skaf63(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f10486,plain,
( ! [X0] :
( nil = skaf63(X0)
| tl(app(skaf63(X0),sk4)) = app(tl(skaf63(X0)),sk4) )
| ~ spl0_2
| ~ spl0_452 ),
inference(resolution,[],[f9912,f252]) ).
fof(f9912,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| tl(app(skaf63(X1),X0)) = app(tl(skaf63(X1)),X0) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f9911]) ).
fof(f34052,plain,
( spl0_1270
| ~ spl0_1
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f10485,f9911,f245,f34050]) ).
fof(f34050,plain,
( spl0_1270
<=> ! [X0] :
( nil = skaf63(X0)
| tl(app(skaf63(X0),sk3)) = app(tl(skaf63(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1270])]) ).
fof(f10485,plain,
( ! [X0] :
( nil = skaf63(X0)
| tl(app(skaf63(X0),sk3)) = app(tl(skaf63(X0)),sk3) )
| ~ spl0_1
| ~ spl0_452 ),
inference(resolution,[],[f9912,f247]) ).
fof(f34048,plain,
( spl0_1269
| ~ spl0_2
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f10452,f9907,f250,f34046]) ).
fof(f34046,plain,
( spl0_1269
<=> ! [X0] :
( nil = skaf66(X0)
| tl(app(skaf66(X0),sk4)) = app(tl(skaf66(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1269])]) ).
fof(f9907,plain,
( spl0_451
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| tl(app(skaf66(X1),X0)) = app(tl(skaf66(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f10452,plain,
( ! [X0] :
( nil = skaf66(X0)
| tl(app(skaf66(X0),sk4)) = app(tl(skaf66(X0)),sk4) )
| ~ spl0_2
| ~ spl0_451 ),
inference(resolution,[],[f9908,f252]) ).
fof(f9908,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| tl(app(skaf66(X1),X0)) = app(tl(skaf66(X1)),X0) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f9907]) ).
fof(f34043,plain,
( spl0_959
| ~ spl0_297
| ~ spl0_1083 ),
inference(avatar_split_clause,[],[f31631,f28506,f3771,f26517]) ).
fof(f26517,plain,
( spl0_959
<=> app(sk3,sk4) = cons(skaf44(sk3),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).
fof(f3771,plain,
( spl0_297
<=> sk3 = cons(skaf44(sk3),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f28506,plain,
( spl0_1083
<=> ! [X0] : cons(skaf44(X0),sk4) = app(cons(skaf44(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1083])]) ).
fof(f31631,plain,
( app(sk3,sk4) = cons(skaf44(sk3),sk4)
| ~ spl0_297
| ~ spl0_1083 ),
inference(superposition,[],[f28507,f3773]) ).
fof(f3773,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f28507,plain,
( ! [X0] : cons(skaf44(X0),sk4) = app(cons(skaf44(X0),nil),sk4)
| ~ spl0_1083 ),
inference(avatar_component_clause,[],[f28506]) ).
fof(f34042,plain,
( spl0_1268
| ~ spl0_1
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f10451,f9907,f245,f34040]) ).
fof(f34040,plain,
( spl0_1268
<=> ! [X0] :
( nil = skaf66(X0)
| tl(app(skaf66(X0),sk3)) = app(tl(skaf66(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1268])]) ).
fof(f10451,plain,
( ! [X0] :
( nil = skaf66(X0)
| tl(app(skaf66(X0),sk3)) = app(tl(skaf66(X0)),sk3) )
| ~ spl0_1
| ~ spl0_451 ),
inference(resolution,[],[f9908,f247]) ).
fof(f34038,plain,
( spl0_1267
| ~ spl0_2
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f10418,f9903,f250,f34036]) ).
fof(f34036,plain,
( spl0_1267
<=> ! [X0] :
( nil = skaf67(X0)
| tl(app(skaf67(X0),sk4)) = app(tl(skaf67(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1267])]) ).
fof(f9903,plain,
( spl0_450
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| tl(app(skaf67(X1),X0)) = app(tl(skaf67(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f10418,plain,
( ! [X0] :
( nil = skaf67(X0)
| tl(app(skaf67(X0),sk4)) = app(tl(skaf67(X0)),sk4) )
| ~ spl0_2
| ~ spl0_450 ),
inference(resolution,[],[f9904,f252]) ).
fof(f9904,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| tl(app(skaf67(X1),X0)) = app(tl(skaf67(X1)),X0) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f9903]) ).
fof(f34034,plain,
( spl0_1266
| ~ spl0_1
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f10417,f9903,f245,f34032]) ).
fof(f34032,plain,
( spl0_1266
<=> ! [X0] :
( nil = skaf67(X0)
| tl(app(skaf67(X0),sk3)) = app(tl(skaf67(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1266])]) ).
fof(f10417,plain,
( ! [X0] :
( nil = skaf67(X0)
| tl(app(skaf67(X0),sk3)) = app(tl(skaf67(X0)),sk3) )
| ~ spl0_1
| ~ spl0_450 ),
inference(resolution,[],[f9904,f247]) ).
fof(f34030,plain,
( spl0_1265
| ~ spl0_2
| ~ spl0_449 ),
inference(avatar_split_clause,[],[f10384,f9899,f250,f34028]) ).
fof(f34028,plain,
( spl0_1265
<=> ! [X0] :
( nil = skaf68(X0)
| tl(app(skaf68(X0),sk4)) = app(tl(skaf68(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1265])]) ).
fof(f9899,plain,
( spl0_449
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| tl(app(skaf68(X1),X0)) = app(tl(skaf68(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f10384,plain,
( ! [X0] :
( nil = skaf68(X0)
| tl(app(skaf68(X0),sk4)) = app(tl(skaf68(X0)),sk4) )
| ~ spl0_2
| ~ spl0_449 ),
inference(resolution,[],[f9900,f252]) ).
fof(f9900,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| tl(app(skaf68(X1),X0)) = app(tl(skaf68(X1)),X0) )
| ~ spl0_449 ),
inference(avatar_component_clause,[],[f9899]) ).
fof(f34026,plain,
( spl0_1264
| ~ spl0_1
| ~ spl0_449 ),
inference(avatar_split_clause,[],[f10383,f9899,f245,f34024]) ).
fof(f34024,plain,
( spl0_1264
<=> ! [X0] :
( nil = skaf68(X0)
| tl(app(skaf68(X0),sk3)) = app(tl(skaf68(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1264])]) ).
fof(f10383,plain,
( ! [X0] :
( nil = skaf68(X0)
| tl(app(skaf68(X0),sk3)) = app(tl(skaf68(X0)),sk3) )
| ~ spl0_1
| ~ spl0_449 ),
inference(resolution,[],[f9900,f247]) ).
fof(f34022,plain,
( spl0_1263
| ~ spl0_2
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f10350,f9891,f250,f34020]) ).
fof(f34020,plain,
( spl0_1263
<=> ! [X0] :
( nil = skaf71(X0)
| tl(app(skaf71(X0),sk4)) = app(tl(skaf71(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1263])]) ).
fof(f9891,plain,
( spl0_447
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| tl(app(skaf71(X1),X0)) = app(tl(skaf71(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f10350,plain,
( ! [X0] :
( nil = skaf71(X0)
| tl(app(skaf71(X0),sk4)) = app(tl(skaf71(X0)),sk4) )
| ~ spl0_2
| ~ spl0_447 ),
inference(resolution,[],[f9892,f252]) ).
fof(f9892,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| tl(app(skaf71(X1),X0)) = app(tl(skaf71(X1)),X0) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f9891]) ).
fof(f34018,plain,
( spl0_1262
| ~ spl0_1
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f10349,f9891,f245,f34016]) ).
fof(f34016,plain,
( spl0_1262
<=> ! [X0] :
( nil = skaf71(X0)
| tl(app(skaf71(X0),sk3)) = app(tl(skaf71(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1262])]) ).
fof(f10349,plain,
( ! [X0] :
( nil = skaf71(X0)
| tl(app(skaf71(X0),sk3)) = app(tl(skaf71(X0)),sk3) )
| ~ spl0_1
| ~ spl0_447 ),
inference(resolution,[],[f9892,f247]) ).
fof(f34014,plain,
( spl0_1261
| ~ spl0_2
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f10316,f9887,f250,f34012]) ).
fof(f34012,plain,
( spl0_1261
<=> ! [X0] :
( nil = skaf72(X0)
| tl(app(skaf72(X0),sk4)) = app(tl(skaf72(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1261])]) ).
fof(f9887,plain,
( spl0_446
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| tl(app(skaf72(X1),X0)) = app(tl(skaf72(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f10316,plain,
( ! [X0] :
( nil = skaf72(X0)
| tl(app(skaf72(X0),sk4)) = app(tl(skaf72(X0)),sk4) )
| ~ spl0_2
| ~ spl0_446 ),
inference(resolution,[],[f9888,f252]) ).
fof(f9888,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| tl(app(skaf72(X1),X0)) = app(tl(skaf72(X1)),X0) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f9887]) ).
fof(f34010,plain,
( spl0_1260
| ~ spl0_1
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f10315,f9887,f245,f34008]) ).
fof(f34008,plain,
( spl0_1260
<=> ! [X0] :
( nil = skaf72(X0)
| tl(app(skaf72(X0),sk3)) = app(tl(skaf72(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1260])]) ).
fof(f10315,plain,
( ! [X0] :
( nil = skaf72(X0)
| tl(app(skaf72(X0),sk3)) = app(tl(skaf72(X0)),sk3) )
| ~ spl0_1
| ~ spl0_446 ),
inference(resolution,[],[f9888,f247]) ).
fof(f34006,plain,
( spl0_1259
| ~ spl0_2
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f10278,f9883,f250,f34004]) ).
fof(f34004,plain,
( spl0_1259
<=> ! [X0] :
( nil = skaf73(X0)
| tl(app(skaf73(X0),sk4)) = app(tl(skaf73(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1259])]) ).
fof(f9883,plain,
( spl0_445
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| tl(app(skaf73(X1),X0)) = app(tl(skaf73(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f10278,plain,
( ! [X0] :
( nil = skaf73(X0)
| tl(app(skaf73(X0),sk4)) = app(tl(skaf73(X0)),sk4) )
| ~ spl0_2
| ~ spl0_445 ),
inference(resolution,[],[f9884,f252]) ).
fof(f9884,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| tl(app(skaf73(X1),X0)) = app(tl(skaf73(X1)),X0) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f9883]) ).
fof(f33845,plain,
( ~ spl0_431
| ~ spl0_930
| spl0_959 ),
inference(avatar_split_clause,[],[f33798,f26517,f25895,f8909]) ).
fof(f8909,plain,
( spl0_431
<=> cons(sk6,sk4) = app(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f25895,plain,
( spl0_930
<=> sk6 = skaf44(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).
fof(f33798,plain,
( cons(sk6,sk4) != app(sk3,sk4)
| ~ spl0_930
| spl0_959 ),
inference(superposition,[],[f26518,f25897]) ).
fof(f25897,plain,
( sk6 = skaf44(sk3)
| ~ spl0_930 ),
inference(avatar_component_clause,[],[f25895]) ).
fof(f26518,plain,
( app(sk3,sk4) != cons(skaf44(sk3),sk4)
| spl0_959 ),
inference(avatar_component_clause,[],[f26517]) ).
fof(f33844,plain,
( spl0_1258
| ~ spl0_1
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f10277,f9883,f245,f33842]) ).
fof(f33842,plain,
( spl0_1258
<=> ! [X0] :
( nil = skaf73(X0)
| tl(app(skaf73(X0),sk3)) = app(tl(skaf73(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1258])]) ).
fof(f10277,plain,
( ! [X0] :
( nil = skaf73(X0)
| tl(app(skaf73(X0),sk3)) = app(tl(skaf73(X0)),sk3) )
| ~ spl0_1
| ~ spl0_445 ),
inference(resolution,[],[f9884,f247]) ).
fof(f33840,plain,
( spl0_1257
| ~ spl0_2
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f10244,f9879,f250,f33838]) ).
fof(f33838,plain,
( spl0_1257
<=> ! [X0] :
( nil = skaf75(X0)
| tl(app(skaf75(X0),sk4)) = app(tl(skaf75(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1257])]) ).
fof(f9879,plain,
( spl0_444
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| tl(app(skaf75(X1),X0)) = app(tl(skaf75(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f10244,plain,
( ! [X0] :
( nil = skaf75(X0)
| tl(app(skaf75(X0),sk4)) = app(tl(skaf75(X0)),sk4) )
| ~ spl0_2
| ~ spl0_444 ),
inference(resolution,[],[f9880,f252]) ).
fof(f9880,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| tl(app(skaf75(X1),X0)) = app(tl(skaf75(X1)),X0) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f9879]) ).
fof(f33836,plain,
( spl0_1256
| ~ spl0_1
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f10243,f9879,f245,f33834]) ).
fof(f33834,plain,
( spl0_1256
<=> ! [X0] :
( nil = skaf75(X0)
| tl(app(skaf75(X0),sk3)) = app(tl(skaf75(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1256])]) ).
fof(f10243,plain,
( ! [X0] :
( nil = skaf75(X0)
| tl(app(skaf75(X0),sk3)) = app(tl(skaf75(X0)),sk3) )
| ~ spl0_1
| ~ spl0_444 ),
inference(resolution,[],[f9880,f247]) ).
fof(f33832,plain,
( spl0_1255
| ~ spl0_2
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f10210,f9875,f250,f33830]) ).
fof(f33830,plain,
( spl0_1255
<=> ! [X0] :
( nil = skaf76(X0)
| tl(app(skaf76(X0),sk4)) = app(tl(skaf76(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1255])]) ).
fof(f9875,plain,
( spl0_443
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| tl(app(skaf76(X1),X0)) = app(tl(skaf76(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f10210,plain,
( ! [X0] :
( nil = skaf76(X0)
| tl(app(skaf76(X0),sk4)) = app(tl(skaf76(X0)),sk4) )
| ~ spl0_2
| ~ spl0_443 ),
inference(resolution,[],[f9876,f252]) ).
fof(f9876,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| tl(app(skaf76(X1),X0)) = app(tl(skaf76(X1)),X0) )
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f9875]) ).
fof(f33828,plain,
( spl0_1254
| ~ spl0_1
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f10209,f9875,f245,f33826]) ).
fof(f33826,plain,
( spl0_1254
<=> ! [X0] :
( nil = skaf76(X0)
| tl(app(skaf76(X0),sk3)) = app(tl(skaf76(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1254])]) ).
fof(f10209,plain,
( ! [X0] :
( nil = skaf76(X0)
| tl(app(skaf76(X0),sk3)) = app(tl(skaf76(X0)),sk3) )
| ~ spl0_1
| ~ spl0_443 ),
inference(resolution,[],[f9876,f247]) ).
fof(f33824,plain,
( spl0_1253
| ~ spl0_2
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f10176,f9871,f250,f33822]) ).
fof(f33822,plain,
( spl0_1253
<=> ! [X0] :
( nil = skaf77(X0)
| tl(app(skaf77(X0),sk4)) = app(tl(skaf77(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1253])]) ).
fof(f9871,plain,
( spl0_442
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| tl(app(skaf77(X1),X0)) = app(tl(skaf77(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f10176,plain,
( ! [X0] :
( nil = skaf77(X0)
| tl(app(skaf77(X0),sk4)) = app(tl(skaf77(X0)),sk4) )
| ~ spl0_2
| ~ spl0_442 ),
inference(resolution,[],[f9872,f252]) ).
fof(f9872,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| tl(app(skaf77(X1),X0)) = app(tl(skaf77(X1)),X0) )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f9871]) ).
fof(f33820,plain,
( spl0_1252
| ~ spl0_1
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f10175,f9871,f245,f33818]) ).
fof(f33818,plain,
( spl0_1252
<=> ! [X0] :
( nil = skaf77(X0)
| tl(app(skaf77(X0),sk3)) = app(tl(skaf77(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1252])]) ).
fof(f10175,plain,
( ! [X0] :
( nil = skaf77(X0)
| tl(app(skaf77(X0),sk3)) = app(tl(skaf77(X0)),sk3) )
| ~ spl0_1
| ~ spl0_442 ),
inference(resolution,[],[f9872,f247]) ).
fof(f33816,plain,
( spl0_1251
| ~ spl0_2
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f10142,f9867,f250,f33814]) ).
fof(f33814,plain,
( spl0_1251
<=> ! [X0] :
( nil = skaf80(X0)
| tl(app(skaf80(X0),sk4)) = app(tl(skaf80(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1251])]) ).
fof(f9867,plain,
( spl0_441
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| tl(app(skaf80(X1),X0)) = app(tl(skaf80(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f10142,plain,
( ! [X0] :
( nil = skaf80(X0)
| tl(app(skaf80(X0),sk4)) = app(tl(skaf80(X0)),sk4) )
| ~ spl0_2
| ~ spl0_441 ),
inference(resolution,[],[f9868,f252]) ).
fof(f9868,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| tl(app(skaf80(X1),X0)) = app(tl(skaf80(X1)),X0) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f9867]) ).
fof(f33812,plain,
( spl0_1250
| ~ spl0_1
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f10141,f9867,f245,f33810]) ).
fof(f33810,plain,
( spl0_1250
<=> ! [X0] :
( nil = skaf80(X0)
| tl(app(skaf80(X0),sk3)) = app(tl(skaf80(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1250])]) ).
fof(f10141,plain,
( ! [X0] :
( nil = skaf80(X0)
| tl(app(skaf80(X0),sk3)) = app(tl(skaf80(X0)),sk3) )
| ~ spl0_1
| ~ spl0_441 ),
inference(resolution,[],[f9868,f247]) ).
fof(f33808,plain,
( spl0_1249
| ~ spl0_2
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f10108,f9863,f250,f33806]) ).
fof(f33806,plain,
( spl0_1249
<=> ! [X0] :
( nil = skaf81(X0)
| tl(app(skaf81(X0),sk4)) = app(tl(skaf81(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1249])]) ).
fof(f9863,plain,
( spl0_440
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| tl(app(skaf81(X1),X0)) = app(tl(skaf81(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f10108,plain,
( ! [X0] :
( nil = skaf81(X0)
| tl(app(skaf81(X0),sk4)) = app(tl(skaf81(X0)),sk4) )
| ~ spl0_2
| ~ spl0_440 ),
inference(resolution,[],[f9864,f252]) ).
fof(f9864,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| tl(app(skaf81(X1),X0)) = app(tl(skaf81(X1)),X0) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f9863]) ).
fof(f33796,plain,
( spl0_1248
| ~ spl0_1
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f10107,f9863,f245,f33794]) ).
fof(f33794,plain,
( spl0_1248
<=> ! [X0] :
( nil = skaf81(X0)
| tl(app(skaf81(X0),sk3)) = app(tl(skaf81(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1248])]) ).
fof(f10107,plain,
( ! [X0] :
( nil = skaf81(X0)
| tl(app(skaf81(X0),sk3)) = app(tl(skaf81(X0)),sk3) )
| ~ spl0_1
| ~ spl0_440 ),
inference(resolution,[],[f9864,f247]) ).
fof(f33792,plain,
( spl0_1247
| ~ spl0_2
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f10074,f9859,f250,f33790]) ).
fof(f33790,plain,
( spl0_1247
<=> ! [X0] :
( nil = skaf82(X0)
| tl(app(skaf82(X0),sk4)) = app(tl(skaf82(X0)),sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1247])]) ).
fof(f9859,plain,
( spl0_439
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| tl(app(skaf82(X1),X0)) = app(tl(skaf82(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f10074,plain,
( ! [X0] :
( nil = skaf82(X0)
| tl(app(skaf82(X0),sk4)) = app(tl(skaf82(X0)),sk4) )
| ~ spl0_2
| ~ spl0_439 ),
inference(resolution,[],[f9860,f252]) ).
fof(f9860,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| tl(app(skaf82(X1),X0)) = app(tl(skaf82(X1)),X0) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f9859]) ).
fof(f33788,plain,
( spl0_1246
| ~ spl0_1
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f10073,f9859,f245,f33786]) ).
fof(f33786,plain,
( spl0_1246
<=> ! [X0] :
( nil = skaf82(X0)
| tl(app(skaf82(X0),sk3)) = app(tl(skaf82(X0)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1246])]) ).
fof(f10073,plain,
( ! [X0] :
( nil = skaf82(X0)
| tl(app(skaf82(X0),sk3)) = app(tl(skaf82(X0)),sk3) )
| ~ spl0_1
| ~ spl0_439 ),
inference(resolution,[],[f9860,f247]) ).
fof(f33784,plain,
( spl0_1245
| ~ spl0_103
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4552,f4515,f775,f33782]) ).
fof(f33782,plain,
( spl0_1245
<=> ! [X0,X1] :
( app(sk3,app(X0,X1)) = cons(sk6,app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1245])]) ).
fof(f775,plain,
( spl0_103
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f4552,plain,
( ! [X0,X1] :
( app(sk3,app(X0,X1)) = cons(sk6,app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_316 ),
inference(resolution,[],[f4516,f776]) ).
fof(f776,plain,
( ! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f33780,plain,
( spl0_1244
| ~ spl0_104
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4551,f4515,f779,f33778]) ).
fof(f33778,plain,
( spl0_1244
<=> ! [X0,X1] :
( app(sk3,cons(X0,X1)) = cons(sk6,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1244])]) ).
fof(f779,plain,
( spl0_104
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f4551,plain,
( ! [X0,X1] :
( app(sk3,cons(X0,X1)) = cons(sk6,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_316 ),
inference(resolution,[],[f4516,f780]) ).
fof(f780,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f33770,plain,
( ~ spl0_17
| spl0_1243
| ~ spl0_197
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f2924,f2921,f1691,f33768,f327]) ).
fof(f33768,plain,
( spl0_1243
<=> ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| memberP(X0,sk5(X0,nil,sk6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1243])]) ).
fof(f2921,plain,
( spl0_246
<=> ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| memberP(X1,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f2924,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| memberP(X0,sk5(X0,nil,sk6))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_197
| ~ spl0_246 ),
inference(superposition,[],[f2922,f1693]) ).
fof(f2922,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| memberP(X1,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f33760,plain,
( ~ spl0_17
| spl0_1242
| ~ spl0_197
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f2919,f2916,f1691,f33758,f327]) ).
fof(f2916,plain,
( spl0_245
<=> ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| memberP(X0,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f2919,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| memberP(nil,sk5(X0,nil,sk6))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_197
| ~ spl0_245 ),
inference(superposition,[],[f2917,f1693]) ).
fof(f2917,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| memberP(X0,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f33581,plain,
( spl0_928
| ~ spl0_297
| ~ spl0_1082 ),
inference(avatar_split_clause,[],[f31581,f28502,f3771,f25428]) ).
fof(f25428,plain,
( spl0_928
<=> app(sk3,sk3) = cons(skaf44(sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).
fof(f28502,plain,
( spl0_1082
<=> ! [X0] : cons(skaf44(X0),sk3) = app(cons(skaf44(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1082])]) ).
fof(f31581,plain,
( app(sk3,sk3) = cons(skaf44(sk3),sk3)
| ~ spl0_297
| ~ spl0_1082 ),
inference(superposition,[],[f28503,f3773]) ).
fof(f28503,plain,
( ! [X0] : cons(skaf44(X0),sk3) = app(cons(skaf44(X0),nil),sk3)
| ~ spl0_1082 ),
inference(avatar_component_clause,[],[f28502]) ).
fof(f33580,plain,
( ~ spl0_17
| spl0_1241
| ~ spl0_197
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f2910,f2907,f1691,f33578,f327]) ).
fof(f2907,plain,
( spl0_244
<=> ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| lt(sk6,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2910,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| lt(sk6,sk5(X0,nil,sk6))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_197
| ~ spl0_244 ),
inference(superposition,[],[f2908,f1693]) ).
fof(f2908,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| lt(sk6,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f33570,plain,
( ~ spl0_17
| spl0_1240
| ~ spl0_83
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f2905,f1691,f601,f33568,f327]) ).
fof(f601,plain,
( spl0_83
<=> ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ leq(sk6,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2905,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ leq(sk6,sk5(X0,nil,sk6))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_83
| ~ spl0_197 ),
inference(superposition,[],[f602,f1693]) ).
fof(f602,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ leq(sk6,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f33566,plain,
( spl0_1239
| ~ spl0_53
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2832,f2525,f475,f33564]) ).
fof(f33564,plain,
( spl0_1239
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf51(X1)),X0) = app(sk4,app(skaf51(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1239])]) ).
fof(f475,plain,
( spl0_53
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2525,plain,
( spl0_228
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2832,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf51(X1)),X0) = app(sk4,app(skaf51(X1),X0)) )
| ~ spl0_53
| ~ spl0_228 ),
inference(resolution,[],[f2526,f476]) ).
fof(f476,plain,
( ! [X0] : ssList(skaf51(X0))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f2526,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f33562,plain,
( spl0_1238
| ~ spl0_52
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2831,f2525,f471,f33560]) ).
fof(f33560,plain,
( spl0_1238
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf52(X1)),X0) = app(sk4,app(skaf52(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1238])]) ).
fof(f471,plain,
( spl0_52
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f2831,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf52(X1)),X0) = app(sk4,app(skaf52(X1),X0)) )
| ~ spl0_52
| ~ spl0_228 ),
inference(resolution,[],[f2526,f472]) ).
fof(f472,plain,
( ! [X0] : ssList(skaf52(X0))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f33558,plain,
( spl0_1237
| ~ spl0_51
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2830,f2525,f467,f33556]) ).
fof(f33556,plain,
( spl0_1237
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf53(X1)),X0) = app(sk4,app(skaf53(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1237])]) ).
fof(f467,plain,
( spl0_51
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f2830,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf53(X1)),X0) = app(sk4,app(skaf53(X1),X0)) )
| ~ spl0_51
| ~ spl0_228 ),
inference(resolution,[],[f2526,f468]) ).
fof(f468,plain,
( ! [X0] : ssList(skaf53(X0))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f33554,plain,
( spl0_1236
| ~ spl0_48
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2829,f2525,f455,f33552]) ).
fof(f33552,plain,
( spl0_1236
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf56(X1)),X0) = app(sk4,app(skaf56(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1236])]) ).
fof(f455,plain,
( spl0_48
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2829,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf56(X1)),X0) = app(sk4,app(skaf56(X1),X0)) )
| ~ spl0_48
| ~ spl0_228 ),
inference(resolution,[],[f2526,f456]) ).
fof(f456,plain,
( ! [X0] : ssList(skaf56(X0))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f33550,plain,
( spl0_1235
| ~ spl0_47
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2828,f2525,f451,f33548]) ).
fof(f33548,plain,
( spl0_1235
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf57(X1)),X0) = app(sk4,app(skaf57(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1235])]) ).
fof(f451,plain,
( spl0_47
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2828,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf57(X1)),X0) = app(sk4,app(skaf57(X1),X0)) )
| ~ spl0_47
| ~ spl0_228 ),
inference(resolution,[],[f2526,f452]) ).
fof(f452,plain,
( ! [X0] : ssList(skaf57(X0))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f33546,plain,
( spl0_1234
| ~ spl0_46
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2827,f2525,f447,f33544]) ).
fof(f33544,plain,
( spl0_1234
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf58(X1)),X0) = app(sk4,app(skaf58(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1234])]) ).
fof(f447,plain,
( spl0_46
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2827,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf58(X1)),X0) = app(sk4,app(skaf58(X1),X0)) )
| ~ spl0_46
| ~ spl0_228 ),
inference(resolution,[],[f2526,f448]) ).
fof(f448,plain,
( ! [X0] : ssList(skaf58(X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f33542,plain,
( spl0_1233
| ~ spl0_43
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2826,f2525,f435,f33540]) ).
fof(f33540,plain,
( spl0_1233
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf61(X1)),X0) = app(sk4,app(skaf61(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1233])]) ).
fof(f435,plain,
( spl0_43
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2826,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf61(X1)),X0) = app(sk4,app(skaf61(X1),X0)) )
| ~ spl0_43
| ~ spl0_228 ),
inference(resolution,[],[f2526,f436]) ).
fof(f436,plain,
( ! [X0] : ssList(skaf61(X0))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f33538,plain,
( spl0_1232
| ~ spl0_218
| ~ spl0_317
| ~ spl0_975
| ~ spl0_989 ),
inference(avatar_split_clause,[],[f28059,f27792,f27693,f4519,f2334,f33535]) ).
fof(f33535,plain,
( spl0_1232
<=> tl(sk4) = tl(app(sk3,tl(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1232])]) ).
fof(f2334,plain,
( spl0_218
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f4519,plain,
( spl0_317
<=> nil = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f27693,plain,
( spl0_975
<=> ssList(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).
fof(f27792,plain,
( spl0_989
<=> tl(sk4) = app(nil,tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).
fof(f28059,plain,
( tl(sk4) = tl(app(sk3,tl(sk4)))
| ~ spl0_218
| ~ spl0_317
| ~ spl0_975
| ~ spl0_989 ),
inference(forward_demodulation,[],[f28058,f27794]) ).
fof(f27794,plain,
( tl(sk4) = app(nil,tl(sk4))
| ~ spl0_989 ),
inference(avatar_component_clause,[],[f27792]) ).
fof(f28058,plain,
( app(nil,tl(sk4)) = tl(app(sk3,tl(sk4)))
| ~ spl0_218
| ~ spl0_317
| ~ spl0_975 ),
inference(forward_demodulation,[],[f27929,f4521]) ).
fof(f4521,plain,
( nil = tl(sk3)
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f4519]) ).
fof(f27929,plain,
( tl(app(sk3,tl(sk4))) = app(tl(sk3),tl(sk4))
| ~ spl0_218
| ~ spl0_975 ),
inference(resolution,[],[f27694,f2335]) ).
fof(f2335,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f27694,plain,
( ssList(tl(sk4))
| ~ spl0_975 ),
inference(avatar_component_clause,[],[f27693]) ).
fof(f33533,plain,
( spl0_1231
| ~ spl0_42
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2825,f2525,f431,f33531]) ).
fof(f33531,plain,
( spl0_1231
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf62(X1)),X0) = app(sk4,app(skaf62(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1231])]) ).
fof(f431,plain,
( spl0_42
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2825,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf62(X1)),X0) = app(sk4,app(skaf62(X1),X0)) )
| ~ spl0_42
| ~ spl0_228 ),
inference(resolution,[],[f2526,f432]) ).
fof(f432,plain,
( ! [X0] : ssList(skaf62(X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f33529,plain,
( spl0_1230
| ~ spl0_41
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2824,f2525,f427,f33527]) ).
fof(f33527,plain,
( spl0_1230
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf63(X1)),X0) = app(sk4,app(skaf63(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1230])]) ).
fof(f427,plain,
( spl0_41
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2824,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf63(X1)),X0) = app(sk4,app(skaf63(X1),X0)) )
| ~ spl0_41
| ~ spl0_228 ),
inference(resolution,[],[f2526,f428]) ).
fof(f428,plain,
( ! [X0] : ssList(skaf63(X0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f33525,plain,
( spl0_1229
| ~ spl0_38
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2823,f2525,f415,f33523]) ).
fof(f33523,plain,
( spl0_1229
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf66(X1)),X0) = app(sk4,app(skaf66(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1229])]) ).
fof(f415,plain,
( spl0_38
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2823,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf66(X1)),X0) = app(sk4,app(skaf66(X1),X0)) )
| ~ spl0_38
| ~ spl0_228 ),
inference(resolution,[],[f2526,f416]) ).
fof(f416,plain,
( ! [X0] : ssList(skaf66(X0))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f33521,plain,
( spl0_1228
| ~ spl0_37
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2822,f2525,f411,f33519]) ).
fof(f33519,plain,
( spl0_1228
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf67(X1)),X0) = app(sk4,app(skaf67(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1228])]) ).
fof(f411,plain,
( spl0_37
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2822,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf67(X1)),X0) = app(sk4,app(skaf67(X1),X0)) )
| ~ spl0_37
| ~ spl0_228 ),
inference(resolution,[],[f2526,f412]) ).
fof(f412,plain,
( ! [X0] : ssList(skaf67(X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f33517,plain,
( spl0_1227
| ~ spl0_36
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2821,f2525,f407,f33515]) ).
fof(f33515,plain,
( spl0_1227
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf68(X1)),X0) = app(sk4,app(skaf68(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1227])]) ).
fof(f407,plain,
( spl0_36
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2821,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf68(X1)),X0) = app(sk4,app(skaf68(X1),X0)) )
| ~ spl0_36
| ~ spl0_228 ),
inference(resolution,[],[f2526,f408]) ).
fof(f408,plain,
( ! [X0] : ssList(skaf68(X0))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f33513,plain,
( spl0_1226
| ~ spl0_33
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2820,f2525,f395,f33511]) ).
fof(f33511,plain,
( spl0_1226
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf71(X1)),X0) = app(sk4,app(skaf71(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1226])]) ).
fof(f395,plain,
( spl0_33
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2820,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf71(X1)),X0) = app(sk4,app(skaf71(X1),X0)) )
| ~ spl0_33
| ~ spl0_228 ),
inference(resolution,[],[f2526,f396]) ).
fof(f396,plain,
( ! [X0] : ssList(skaf71(X0))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f33509,plain,
( spl0_1225
| ~ spl0_32
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2819,f2525,f391,f33507]) ).
fof(f33507,plain,
( spl0_1225
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf72(X1)),X0) = app(sk4,app(skaf72(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1225])]) ).
fof(f391,plain,
( spl0_32
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2819,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf72(X1)),X0) = app(sk4,app(skaf72(X1),X0)) )
| ~ spl0_32
| ~ spl0_228 ),
inference(resolution,[],[f2526,f392]) ).
fof(f392,plain,
( ! [X0] : ssList(skaf72(X0))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f33505,plain,
( spl0_1224
| ~ spl0_31
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2818,f2525,f387,f33503]) ).
fof(f33503,plain,
( spl0_1224
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf73(X1)),X0) = app(sk4,app(skaf73(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1224])]) ).
fof(f387,plain,
( spl0_31
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2818,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf73(X1)),X0) = app(sk4,app(skaf73(X1),X0)) )
| ~ spl0_31
| ~ spl0_228 ),
inference(resolution,[],[f2526,f388]) ).
fof(f388,plain,
( ! [X0] : ssList(skaf73(X0))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f33501,plain,
( spl0_1223
| ~ spl0_29
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2817,f2525,f379,f33499]) ).
fof(f33499,plain,
( spl0_1223
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf75(X1)),X0) = app(sk4,app(skaf75(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1223])]) ).
fof(f379,plain,
( spl0_29
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2817,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf75(X1)),X0) = app(sk4,app(skaf75(X1),X0)) )
| ~ spl0_29
| ~ spl0_228 ),
inference(resolution,[],[f2526,f380]) ).
fof(f380,plain,
( ! [X0] : ssList(skaf75(X0))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f33497,plain,
( spl0_1222
| ~ spl0_28
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2816,f2525,f375,f33495]) ).
fof(f33495,plain,
( spl0_1222
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf76(X1)),X0) = app(sk4,app(skaf76(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1222])]) ).
fof(f375,plain,
( spl0_28
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2816,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf76(X1)),X0) = app(sk4,app(skaf76(X1),X0)) )
| ~ spl0_28
| ~ spl0_228 ),
inference(resolution,[],[f2526,f376]) ).
fof(f376,plain,
( ! [X0] : ssList(skaf76(X0))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f33493,plain,
( spl0_1221
| ~ spl0_310
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27933,f27693,f4307,f33491]) ).
fof(f33491,plain,
( spl0_1221
<=> ! [X0] : tl(sk4) = tl(cons(X0,tl(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1221])]) ).
fof(f4307,plain,
( spl0_310
<=> ! [X0,X1] :
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f27933,plain,
( ! [X0] : tl(sk4) = tl(cons(X0,tl(sk4)))
| ~ spl0_310
| ~ spl0_975 ),
inference(resolution,[],[f27694,f4308]) ).
fof(f4308,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f4307]) ).
fof(f33489,plain,
( spl0_1220
| ~ spl0_27
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2815,f2525,f371,f33487]) ).
fof(f33487,plain,
( spl0_1220
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf77(X1)),X0) = app(sk4,app(skaf77(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1220])]) ).
fof(f371,plain,
( spl0_27
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2815,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf77(X1)),X0) = app(sk4,app(skaf77(X1),X0)) )
| ~ spl0_27
| ~ spl0_228 ),
inference(resolution,[],[f2526,f372]) ).
fof(f372,plain,
( ! [X0] : ssList(skaf77(X0))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f33485,plain,
( spl0_1219
| ~ spl0_24
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2814,f2525,f359,f33483]) ).
fof(f33483,plain,
( spl0_1219
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf80(X1)),X0) = app(sk4,app(skaf80(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1219])]) ).
fof(f359,plain,
( spl0_24
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2814,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf80(X1)),X0) = app(sk4,app(skaf80(X1),X0)) )
| ~ spl0_24
| ~ spl0_228 ),
inference(resolution,[],[f2526,f360]) ).
fof(f360,plain,
( ! [X0] : ssList(skaf80(X0))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f33481,plain,
( spl0_1218
| ~ spl0_23
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2813,f2525,f355,f33479]) ).
fof(f33479,plain,
( spl0_1218
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf81(X1)),X0) = app(sk4,app(skaf81(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1218])]) ).
fof(f355,plain,
( spl0_23
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f2813,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf81(X1)),X0) = app(sk4,app(skaf81(X1),X0)) )
| ~ spl0_23
| ~ spl0_228 ),
inference(resolution,[],[f2526,f356]) ).
fof(f356,plain,
( ! [X0] : ssList(skaf81(X0))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f33477,plain,
( spl0_1217
| ~ spl0_22
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2812,f2525,f351,f33475]) ).
fof(f33475,plain,
( spl0_1217
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf82(X1)),X0) = app(sk4,app(skaf82(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1217])]) ).
fof(f351,plain,
( spl0_22
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2812,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk4,skaf82(X1)),X0) = app(sk4,app(skaf82(X1),X0)) )
| ~ spl0_22
| ~ spl0_228 ),
inference(resolution,[],[f2526,f352]) ).
fof(f352,plain,
( ! [X0] : ssList(skaf82(X0))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f33473,plain,
( spl0_1216
| ~ spl0_53
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2798,f2521,f475,f33471]) ).
fof(f33471,plain,
( spl0_1216
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf51(X1)),X0) = app(sk3,app(skaf51(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1216])]) ).
fof(f2521,plain,
( spl0_227
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2798,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf51(X1)),X0) = app(sk3,app(skaf51(X1),X0)) )
| ~ spl0_53
| ~ spl0_227 ),
inference(resolution,[],[f2522,f476]) ).
fof(f2522,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f33469,plain,
( spl0_1215
| ~ spl0_52
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2797,f2521,f471,f33467]) ).
fof(f33467,plain,
( spl0_1215
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf52(X1)),X0) = app(sk3,app(skaf52(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1215])]) ).
fof(f2797,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf52(X1)),X0) = app(sk3,app(skaf52(X1),X0)) )
| ~ spl0_52
| ~ spl0_227 ),
inference(resolution,[],[f2522,f472]) ).
fof(f33465,plain,
( spl0_1214
| ~ spl0_51
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2796,f2521,f467,f33463]) ).
fof(f33463,plain,
( spl0_1214
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf53(X1)),X0) = app(sk3,app(skaf53(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1214])]) ).
fof(f2796,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf53(X1)),X0) = app(sk3,app(skaf53(X1),X0)) )
| ~ spl0_51
| ~ spl0_227 ),
inference(resolution,[],[f2522,f468]) ).
fof(f33461,plain,
( spl0_1213
| ~ spl0_48
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2795,f2521,f455,f33459]) ).
fof(f33459,plain,
( spl0_1213
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf56(X1)),X0) = app(sk3,app(skaf56(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1213])]) ).
fof(f2795,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf56(X1)),X0) = app(sk3,app(skaf56(X1),X0)) )
| ~ spl0_48
| ~ spl0_227 ),
inference(resolution,[],[f2522,f456]) ).
fof(f33457,plain,
( spl0_1212
| ~ spl0_47
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2794,f2521,f451,f33455]) ).
fof(f33455,plain,
( spl0_1212
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf57(X1)),X0) = app(sk3,app(skaf57(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1212])]) ).
fof(f2794,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf57(X1)),X0) = app(sk3,app(skaf57(X1),X0)) )
| ~ spl0_47
| ~ spl0_227 ),
inference(resolution,[],[f2522,f452]) ).
fof(f33453,plain,
( spl0_1211
| ~ spl0_46
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2793,f2521,f447,f33451]) ).
fof(f33451,plain,
( spl0_1211
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf58(X1)),X0) = app(sk3,app(skaf58(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1211])]) ).
fof(f2793,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf58(X1)),X0) = app(sk3,app(skaf58(X1),X0)) )
| ~ spl0_46
| ~ spl0_227 ),
inference(resolution,[],[f2522,f448]) ).
fof(f33439,plain,
( spl0_1210
| ~ spl0_43
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2792,f2521,f435,f33437]) ).
fof(f33437,plain,
( spl0_1210
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf61(X1)),X0) = app(sk3,app(skaf61(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1210])]) ).
fof(f2792,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf61(X1)),X0) = app(sk3,app(skaf61(X1),X0)) )
| ~ spl0_43
| ~ spl0_227 ),
inference(resolution,[],[f2522,f436]) ).
fof(f33435,plain,
( spl0_1209
| ~ spl0_42
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2791,f2521,f431,f33433]) ).
fof(f33433,plain,
( spl0_1209
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf62(X1)),X0) = app(sk3,app(skaf62(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1209])]) ).
fof(f2791,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf62(X1)),X0) = app(sk3,app(skaf62(X1),X0)) )
| ~ spl0_42
| ~ spl0_227 ),
inference(resolution,[],[f2522,f432]) ).
fof(f33431,plain,
( spl0_1208
| ~ spl0_41
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2790,f2521,f427,f33429]) ).
fof(f33429,plain,
( spl0_1208
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf63(X1)),X0) = app(sk3,app(skaf63(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1208])]) ).
fof(f2790,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf63(X1)),X0) = app(sk3,app(skaf63(X1),X0)) )
| ~ spl0_41
| ~ spl0_227 ),
inference(resolution,[],[f2522,f428]) ).
fof(f33427,plain,
( spl0_1207
| ~ spl0_38
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2789,f2521,f415,f33425]) ).
fof(f33425,plain,
( spl0_1207
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf66(X1)),X0) = app(sk3,app(skaf66(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1207])]) ).
fof(f2789,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf66(X1)),X0) = app(sk3,app(skaf66(X1),X0)) )
| ~ spl0_38
| ~ spl0_227 ),
inference(resolution,[],[f2522,f416]) ).
fof(f33423,plain,
( spl0_1206
| ~ spl0_37
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2788,f2521,f411,f33421]) ).
fof(f33421,plain,
( spl0_1206
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf67(X1)),X0) = app(sk3,app(skaf67(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1206])]) ).
fof(f2788,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf67(X1)),X0) = app(sk3,app(skaf67(X1),X0)) )
| ~ spl0_37
| ~ spl0_227 ),
inference(resolution,[],[f2522,f412]) ).
fof(f33419,plain,
( spl0_1205
| ~ spl0_36
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2787,f2521,f407,f33417]) ).
fof(f33417,plain,
( spl0_1205
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf68(X1)),X0) = app(sk3,app(skaf68(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1205])]) ).
fof(f2787,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf68(X1)),X0) = app(sk3,app(skaf68(X1),X0)) )
| ~ spl0_36
| ~ spl0_227 ),
inference(resolution,[],[f2522,f408]) ).
fof(f33415,plain,
( spl0_1204
| ~ spl0_33
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2786,f2521,f395,f33413]) ).
fof(f33413,plain,
( spl0_1204
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf71(X1)),X0) = app(sk3,app(skaf71(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1204])]) ).
fof(f2786,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf71(X1)),X0) = app(sk3,app(skaf71(X1),X0)) )
| ~ spl0_33
| ~ spl0_227 ),
inference(resolution,[],[f2522,f396]) ).
fof(f33411,plain,
( ~ spl0_13
| ~ spl0_1193
| spl0_1194 ),
inference(avatar_split_clause,[],[f33346,f33340,f33336,f307]) ).
fof(f307,plain,
( spl0_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f33336,plain,
( spl0_1193
<=> nil = skaf82(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1193])]) ).
fof(f33340,plain,
( spl0_1194
<=> totalorderedP(skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1194])]) ).
fof(f33346,plain,
( ~ totalorderedP(nil)
| ~ spl0_1193
| spl0_1194 ),
inference(superposition,[],[f33341,f33338]) ).
fof(f33338,plain,
( nil = skaf82(sk4)
| ~ spl0_1193 ),
inference(avatar_component_clause,[],[f33336]) ).
fof(f33341,plain,
( ~ totalorderedP(skaf82(sk4))
| spl0_1194 ),
inference(avatar_component_clause,[],[f33340]) ).
fof(f33410,plain,
( spl0_1203
| ~ spl0_32
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2785,f2521,f391,f33408]) ).
fof(f33408,plain,
( spl0_1203
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf72(X1)),X0) = app(sk3,app(skaf72(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1203])]) ).
fof(f2785,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf72(X1)),X0) = app(sk3,app(skaf72(X1),X0)) )
| ~ spl0_32
| ~ spl0_227 ),
inference(resolution,[],[f2522,f392]) ).
fof(f33406,plain,
( spl0_1202
| ~ spl0_31
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2784,f2521,f387,f33404]) ).
fof(f33404,plain,
( spl0_1202
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf73(X1)),X0) = app(sk3,app(skaf73(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1202])]) ).
fof(f2784,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf73(X1)),X0) = app(sk3,app(skaf73(X1),X0)) )
| ~ spl0_31
| ~ spl0_227 ),
inference(resolution,[],[f2522,f388]) ).
fof(f33402,plain,
( spl0_1201
| ~ spl0_29
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2783,f2521,f379,f33400]) ).
fof(f33400,plain,
( spl0_1201
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf75(X1)),X0) = app(sk3,app(skaf75(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1201])]) ).
fof(f2783,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf75(X1)),X0) = app(sk3,app(skaf75(X1),X0)) )
| ~ spl0_29
| ~ spl0_227 ),
inference(resolution,[],[f2522,f380]) ).
fof(f33398,plain,
( spl0_1200
| ~ spl0_28
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2782,f2521,f375,f33396]) ).
fof(f33396,plain,
( spl0_1200
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf76(X1)),X0) = app(sk3,app(skaf76(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1200])]) ).
fof(f2782,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf76(X1)),X0) = app(sk3,app(skaf76(X1),X0)) )
| ~ spl0_28
| ~ spl0_227 ),
inference(resolution,[],[f2522,f376]) ).
fof(f33394,plain,
( spl0_1199
| ~ spl0_27
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2781,f2521,f371,f33392]) ).
fof(f33392,plain,
( spl0_1199
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf77(X1)),X0) = app(sk3,app(skaf77(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1199])]) ).
fof(f2781,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf77(X1)),X0) = app(sk3,app(skaf77(X1),X0)) )
| ~ spl0_27
| ~ spl0_227 ),
inference(resolution,[],[f2522,f372]) ).
fof(f33390,plain,
( spl0_1198
| ~ spl0_24
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2780,f2521,f359,f33388]) ).
fof(f33388,plain,
( spl0_1198
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf80(X1)),X0) = app(sk3,app(skaf80(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1198])]) ).
fof(f2780,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf80(X1)),X0) = app(sk3,app(skaf80(X1),X0)) )
| ~ spl0_24
| ~ spl0_227 ),
inference(resolution,[],[f2522,f360]) ).
fof(f33386,plain,
( spl0_1197
| ~ spl0_23
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2779,f2521,f355,f33384]) ).
fof(f33384,plain,
( spl0_1197
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf81(X1)),X0) = app(sk3,app(skaf81(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1197])]) ).
fof(f2779,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf81(X1)),X0) = app(sk3,app(skaf81(X1),X0)) )
| ~ spl0_23
| ~ spl0_227 ),
inference(resolution,[],[f2522,f356]) ).
fof(f33382,plain,
( spl0_1196
| ~ spl0_22
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2778,f2521,f351,f33380]) ).
fof(f33380,plain,
( spl0_1196
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf82(X1)),X0) = app(sk3,app(skaf82(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1196])]) ).
fof(f2778,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| app(app(sk3,skaf82(X1)),X0) = app(sk3,app(skaf82(X1),X0)) )
| ~ spl0_22
| ~ spl0_227 ),
inference(resolution,[],[f2522,f352]) ).
fof(f33377,plain,
( ~ spl0_979
| ~ spl0_877
| spl0_1195
| ~ spl0_153
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2152,f2102,f1119,f33375,f22079,f27716]) ).
fof(f27716,plain,
( spl0_979
<=> ssList(skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).
fof(f22079,plain,
( spl0_877
<=> ssItem(skaf83(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).
fof(f33375,plain,
( spl0_1195
<=> ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1195])]) ).
fof(f1119,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2102,plain,
( spl0_213
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2152,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ memberP(skaf82(sk4),X0)
| ~ ssItem(X0) )
| ~ spl0_153
| ~ spl0_213 ),
inference(superposition,[],[f1120,f2104]) ).
fof(f2104,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f33343,plain,
( ~ spl0_877
| spl0_1193
| spl0_1194
| ~ spl0_979
| ~ spl0_217
| ~ spl0_139
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2151,f2102,f1029,f2258,f27716,f33340,f33336,f22079]) ).
fof(f2258,plain,
( spl0_217
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1029,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f2151,plain,
( ~ totalorderedP(sk4)
| ~ ssList(skaf82(sk4))
| totalorderedP(skaf82(sk4))
| nil = skaf82(sk4)
| ~ ssItem(skaf83(sk4))
| ~ spl0_139
| ~ spl0_213 ),
inference(superposition,[],[f1030,f2104]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f33333,plain,
( ~ spl0_977
| ~ spl0_871
| spl0_1192
| ~ spl0_153
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2072,f2062,f1119,f33331,f21639,f27703]) ).
fof(f27703,plain,
( spl0_977
<=> ssList(skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).
fof(f21639,plain,
( spl0_871
<=> ssItem(skaf83(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).
fof(f33331,plain,
( spl0_1192
<=> ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1192])]) ).
fof(f2062,plain,
( spl0_212
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2072,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| ~ memberP(skaf82(sk3),X0)
| ~ ssItem(X0) )
| ~ spl0_153
| ~ spl0_212 ),
inference(superposition,[],[f1120,f2064]) ).
fof(f2064,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f33329,plain,
( ~ spl0_975
| ~ spl0_866
| spl0_1191
| ~ spl0_153
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2032,f1946,f1119,f33327,f21025,f27693]) ).
fof(f21025,plain,
( spl0_866
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).
fof(f33327,plain,
( spl0_1191
<=> ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(tl(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1191])]) ).
fof(f1946,plain,
( spl0_210
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2032,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ memberP(tl(sk4),X0)
| ~ ssItem(X0) )
| ~ spl0_153
| ~ spl0_210 ),
inference(superposition,[],[f1120,f1948]) ).
fof(f1948,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f33325,plain,
( ~ spl0_866
| spl0_1188
| spl0_1190
| ~ spl0_975
| ~ spl0_217
| ~ spl0_139
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2031,f1946,f1029,f2258,f27693,f33322,f33311,f21025]) ).
fof(f33311,plain,
( spl0_1188
<=> nil = tl(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1188])]) ).
fof(f33322,plain,
( spl0_1190
<=> totalorderedP(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1190])]) ).
fof(f2031,plain,
( ~ totalorderedP(sk4)
| ~ ssList(tl(sk4))
| totalorderedP(tl(sk4))
| nil = tl(sk4)
| ~ ssItem(hd(sk4))
| ~ spl0_139
| ~ spl0_210 ),
inference(superposition,[],[f1030,f1948]) ).
fof(f33318,plain,
( ~ spl0_866
| spl0_1188
| spl0_1189
| ~ spl0_975
| ~ spl0_214
| ~ spl0_138
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2030,f1946,f1025,f2141,f27693,f33315,f33311,f21025]) ).
fof(f33315,plain,
( spl0_1189
<=> strictorderedP(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1189])]) ).
fof(f2141,plain,
( spl0_214
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1025,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2030,plain,
( ~ strictorderedP(sk4)
| ~ ssList(tl(sk4))
| strictorderedP(tl(sk4))
| nil = tl(sk4)
| ~ ssItem(hd(sk4))
| ~ spl0_138
| ~ spl0_210 ),
inference(superposition,[],[f1026,f1948]) ).
fof(f1026,plain,
( ! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f33309,plain,
( spl0_1187
| ~ spl0_17
| ~ spl0_187
| ~ spl0_1183 ),
inference(avatar_split_clause,[],[f33233,f33227,f1471,f327,f33306]) ).
fof(f33227,plain,
( spl0_1183
<=> ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ssItem(sk5(X0,nil,sk6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1183])]) ).
fof(f33233,plain,
( ~ ssList(nil)
| ssItem(sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1183 ),
inference(trivial_inequality_removal,[],[f33230]) ).
fof(f33230,plain,
( sk3 != sk3
| ~ ssList(nil)
| ssItem(sk5(nil,nil,sk6))
| ~ spl0_187
| ~ spl0_1183 ),
inference(superposition,[],[f33228,f1473]) ).
fof(f33228,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ssItem(sk5(X0,nil,sk6)) )
| ~ spl0_1183 ),
inference(avatar_component_clause,[],[f33227]) ).
fof(f33303,plain,
( ~ spl0_971
| ~ spl0_970
| spl0_1186
| ~ spl0_153
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f1916,f1906,f1119,f33301,f27661,f27665]) ).
fof(f27665,plain,
( spl0_971
<=> ssList(tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).
fof(f27661,plain,
( spl0_970
<=> ssItem(hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).
fof(f33301,plain,
( spl0_1186
<=> ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(tl(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1186])]) ).
fof(f1906,plain,
( spl0_209
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1916,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ memberP(tl(sk3),X0)
| ~ ssItem(X0) )
| ~ spl0_153
| ~ spl0_209 ),
inference(superposition,[],[f1120,f1908]) ).
fof(f1908,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f33291,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_1185
| ~ spl0_189
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f1890,f1790,f1515,f33289,f250,f327]) ).
fof(f33289,plain,
( spl0_1185
<=> ! [X0] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1185])]) ).
fof(f1515,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1890,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_189
| ~ spl0_203 ),
inference(superposition,[],[f1516,f1792]) ).
fof(f1516,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f33279,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_1184
| ~ spl0_189
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1872,f1691,f1515,f33277,f245,f327]) ).
fof(f33277,plain,
( spl0_1184
<=> ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1184])]) ).
fof(f1872,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_189
| ~ spl0_197 ),
inference(superposition,[],[f1516,f1693]) ).
fof(f33229,plain,
( ~ spl0_17
| spl0_1183
| ~ spl0_66
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f26062,f1691,f530,f33227,f327]) ).
fof(f530,plain,
( spl0_66
<=> ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ssItem(sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f26062,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ssItem(sk5(X0,nil,sk6))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_66
| ~ spl0_197 ),
inference(superposition,[],[f531,f1693]) ).
fof(f531,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ssItem(sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f33225,plain,
( spl0_1182
| ~ spl0_99
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4553,f4515,f759,f33223]) ).
fof(f33223,plain,
( spl0_1182
<=> ! [X0] :
( app(sk3,tl(X0)) = cons(sk6,tl(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1182])]) ).
fof(f759,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f4553,plain,
( ! [X0] :
( app(sk3,tl(X0)) = cons(sk6,tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_316 ),
inference(resolution,[],[f4516,f760]) ).
fof(f760,plain,
( ! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f33200,plain,
( spl0_1181
| ~ spl0_216
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27928,f27693,f2220,f33197]) ).
fof(f33197,plain,
( spl0_1181
<=> hd(sk4) = hd(app(sk4,tl(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1181])]) ).
fof(f2220,plain,
( spl0_216
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f27928,plain,
( hd(sk4) = hd(app(sk4,tl(sk4)))
| ~ spl0_216
| ~ spl0_975 ),
inference(resolution,[],[f27694,f2221]) ).
fof(f2221,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f33195,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_1180
| ~ spl0_170
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f1886,f1790,f1277,f33193,f250,f327]) ).
fof(f33193,plain,
( spl0_1180
<=> ! [X0] :
( sk4 != app(X0,sk4)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1180])]) ).
fof(f1277,plain,
( spl0_170
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1886,plain,
( ! [X0] :
( sk4 != app(X0,sk4)
| ~ ssList(X0)
| ~ ssList(sk4)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_170
| ~ spl0_203 ),
inference(superposition,[],[f1278,f1792]) ).
fof(f1278,plain,
( ! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f33160,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_1179
| ~ spl0_169
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f1884,f1790,f1273,f33158,f327,f250]) ).
fof(f33158,plain,
( spl0_1179
<=> ! [X0] :
( app(nil,X0) != sk4
| sk4 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1179])]) ).
fof(f1273,plain,
( spl0_169
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1884,plain,
( ! [X0] :
( app(nil,X0) != sk4
| ~ ssList(X0)
| ~ ssList(nil)
| sk4 = X0
| ~ ssList(sk4) )
| ~ spl0_169
| ~ spl0_203 ),
inference(superposition,[],[f1274,f1792]) ).
fof(f1274,plain,
( ! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f33135,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_1178
| ~ spl0_170
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1868,f1691,f1277,f33133,f245,f327]) ).
fof(f33133,plain,
( spl0_1178
<=> ! [X0] :
( sk3 != app(X0,sk3)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1178])]) ).
fof(f1868,plain,
( ! [X0] :
( sk3 != app(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_170
| ~ spl0_197 ),
inference(superposition,[],[f1278,f1693]) ).
fof(f33100,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_1177
| ~ spl0_169
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1866,f1691,f1273,f33098,f327,f245]) ).
fof(f33098,plain,
( spl0_1177
<=> ! [X0] :
( app(nil,X0) != sk3
| sk3 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1177])]) ).
fof(f1866,plain,
( ! [X0] :
( app(nil,X0) != sk3
| ~ ssList(X0)
| ~ ssList(nil)
| sk3 = X0
| ~ ssList(sk3) )
| ~ spl0_169
| ~ spl0_197 ),
inference(superposition,[],[f1274,f1693]) ).
fof(f33064,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_1176
| ~ spl0_170
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1850,f1530,f1277,f33062,f327,f250]) ).
fof(f33062,plain,
( spl0_1176
<=> ! [X0] :
( app(X0,nil) != sk4
| sk4 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1176])]) ).
fof(f1850,plain,
( ! [X0] :
( app(X0,nil) != sk4
| ~ ssList(X0)
| ~ ssList(nil)
| sk4 = X0
| ~ ssList(sk4) )
| ~ spl0_170
| ~ spl0_190 ),
inference(superposition,[],[f1278,f1532]) ).
fof(f33044,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_1175
| ~ spl0_169
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1848,f1530,f1273,f33042,f250,f327]) ).
fof(f33042,plain,
( spl0_1175
<=> ! [X0] :
( sk4 != app(sk4,X0)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1175])]) ).
fof(f1848,plain,
( ! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_169
| ~ spl0_190 ),
inference(superposition,[],[f1274,f1532]) ).
fof(f33008,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_1174
| ~ spl0_170
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1832,f1471,f1277,f33006,f327,f245]) ).
fof(f33006,plain,
( spl0_1174
<=> ! [X0] :
( app(X0,nil) != sk3
| sk3 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1174])]) ).
fof(f1832,plain,
( ! [X0] :
( app(X0,nil) != sk3
| ~ ssList(X0)
| ~ ssList(nil)
| sk3 = X0
| ~ ssList(sk3) )
| ~ spl0_170
| ~ spl0_187 ),
inference(superposition,[],[f1278,f1473]) ).
fof(f33001,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_1173
| ~ spl0_169
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1830,f1471,f1273,f32999,f245,f327]) ).
fof(f32999,plain,
( spl0_1173
<=> ! [X0] :
( sk3 != app(sk3,X0)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1173])]) ).
fof(f1830,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_169
| ~ spl0_187 ),
inference(superposition,[],[f1274,f1473]) ).
fof(f32588,plain,
( spl0_1172
| ~ spl0_866
| ~ spl0_224
| ~ spl0_976 ),
inference(avatar_split_clause,[],[f28227,f27697,f2501,f21025,f32585]) ).
fof(f32585,plain,
( spl0_1172
<=> memberP(sk3,hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1172])]) ).
fof(f2501,plain,
( spl0_224
<=> ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f27697,plain,
( spl0_976
<=> memberP(sk4,hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).
fof(f28227,plain,
( ~ ssItem(hd(sk4))
| memberP(sk3,hd(sk4))
| ~ spl0_224
| ~ spl0_976 ),
inference(resolution,[],[f27699,f2502]) ).
fof(f2502,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2501]) ).
fof(f27699,plain,
( memberP(sk4,hd(sk4))
| ~ spl0_976 ),
inference(avatar_component_clause,[],[f27697]) ).
fof(f32145,plain,
( spl0_1171
| ~ spl0_2
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f9835,f8905,f250,f32143]) ).
fof(f32143,plain,
( spl0_1171
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,app(sk4,X0)) = app(cons(X1,sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1171])]) ).
fof(f8905,plain,
( spl0_430
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f9835,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,app(sk4,X0)) = app(cons(X1,sk4),X0) )
| ~ spl0_2
| ~ spl0_430 ),
inference(resolution,[],[f8906,f252]) ).
fof(f8906,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f8905]) ).
fof(f32141,plain,
( spl0_1170
| ~ spl0_1
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f9834,f8905,f245,f32139]) ).
fof(f32139,plain,
( spl0_1170
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,app(sk3,X0)) = app(cons(X1,sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1170])]) ).
fof(f9834,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,app(sk3,X0)) = app(cons(X1,sk3),X0) )
| ~ spl0_1
| ~ spl0_430 ),
inference(resolution,[],[f8906,f247]) ).
fof(f32137,plain,
( spl0_1169
| ~ spl0_2
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f9739,f8897,f250,f32135]) ).
fof(f32135,plain,
( spl0_1169
<=> ! [X0] :
( nil = skaf51(X0)
| hd(skaf51(X0)) = hd(app(skaf51(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1169])]) ).
fof(f8897,plain,
( spl0_428
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| hd(app(skaf51(X1),X0)) = hd(skaf51(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f9739,plain,
( ! [X0] :
( nil = skaf51(X0)
| hd(skaf51(X0)) = hd(app(skaf51(X0),sk4)) )
| ~ spl0_2
| ~ spl0_428 ),
inference(resolution,[],[f8898,f252]) ).
fof(f8898,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| hd(app(skaf51(X1),X0)) = hd(skaf51(X1)) )
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f8897]) ).
fof(f32133,plain,
( spl0_1168
| ~ spl0_1
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f9738,f8897,f245,f32131]) ).
fof(f32131,plain,
( spl0_1168
<=> ! [X0] :
( nil = skaf51(X0)
| hd(skaf51(X0)) = hd(app(skaf51(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1168])]) ).
fof(f9738,plain,
( ! [X0] :
( nil = skaf51(X0)
| hd(skaf51(X0)) = hd(app(skaf51(X0),sk3)) )
| ~ spl0_1
| ~ spl0_428 ),
inference(resolution,[],[f8898,f247]) ).
fof(f32129,plain,
( spl0_1167
| ~ spl0_2
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f9706,f8893,f250,f32127]) ).
fof(f32127,plain,
( spl0_1167
<=> ! [X0] :
( nil = skaf52(X0)
| hd(skaf52(X0)) = hd(app(skaf52(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1167])]) ).
fof(f8893,plain,
( spl0_427
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| hd(app(skaf52(X1),X0)) = hd(skaf52(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f9706,plain,
( ! [X0] :
( nil = skaf52(X0)
| hd(skaf52(X0)) = hd(app(skaf52(X0),sk4)) )
| ~ spl0_2
| ~ spl0_427 ),
inference(resolution,[],[f8894,f252]) ).
fof(f8894,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| hd(app(skaf52(X1),X0)) = hd(skaf52(X1)) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f8893]) ).
fof(f32125,plain,
( spl0_1166
| ~ spl0_1
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f9705,f8893,f245,f32123]) ).
fof(f32123,plain,
( spl0_1166
<=> ! [X0] :
( nil = skaf52(X0)
| hd(skaf52(X0)) = hd(app(skaf52(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1166])]) ).
fof(f9705,plain,
( ! [X0] :
( nil = skaf52(X0)
| hd(skaf52(X0)) = hd(app(skaf52(X0),sk3)) )
| ~ spl0_1
| ~ spl0_427 ),
inference(resolution,[],[f8894,f247]) ).
fof(f32121,plain,
( spl0_1165
| ~ spl0_2
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f9673,f8889,f250,f32119]) ).
fof(f32119,plain,
( spl0_1165
<=> ! [X0] :
( nil = skaf53(X0)
| hd(skaf53(X0)) = hd(app(skaf53(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1165])]) ).
fof(f8889,plain,
( spl0_426
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| hd(app(skaf53(X1),X0)) = hd(skaf53(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f9673,plain,
( ! [X0] :
( nil = skaf53(X0)
| hd(skaf53(X0)) = hd(app(skaf53(X0),sk4)) )
| ~ spl0_2
| ~ spl0_426 ),
inference(resolution,[],[f8890,f252]) ).
fof(f8890,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| hd(app(skaf53(X1),X0)) = hd(skaf53(X1)) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f8889]) ).
fof(f32117,plain,
( spl0_1164
| ~ spl0_1
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f9672,f8889,f245,f32115]) ).
fof(f32115,plain,
( spl0_1164
<=> ! [X0] :
( nil = skaf53(X0)
| hd(skaf53(X0)) = hd(app(skaf53(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1164])]) ).
fof(f9672,plain,
( ! [X0] :
( nil = skaf53(X0)
| hd(skaf53(X0)) = hd(app(skaf53(X0),sk3)) )
| ~ spl0_1
| ~ spl0_426 ),
inference(resolution,[],[f8890,f247]) ).
fof(f32113,plain,
( ~ spl0_17
| spl0_1163
| ~ spl0_837
| ~ spl0_1093 ),
inference(avatar_split_clause,[],[f31698,f31695,f20503,f32110,f327]) ).
fof(f32110,plain,
( spl0_1163
<=> frontsegP(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1163])]) ).
fof(f20503,plain,
( spl0_837
<=> frontsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).
fof(f31695,plain,
( spl0_1093
<=> ! [X0] :
( frontsegP(sk4,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1093])]) ).
fof(f31698,plain,
( frontsegP(sk4,nil)
| ~ ssList(nil)
| ~ spl0_837
| ~ spl0_1093 ),
inference(resolution,[],[f31696,f20504]) ).
fof(f20504,plain,
( frontsegP(nil,nil)
| ~ spl0_837 ),
inference(avatar_component_clause,[],[f20503]) ).
fof(f31696,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| frontsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1093 ),
inference(avatar_component_clause,[],[f31695]) ).
fof(f32108,plain,
( spl0_1162
| ~ spl0_2
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f9640,f8885,f250,f32106]) ).
fof(f32106,plain,
( spl0_1162
<=> ! [X0] :
( nil = skaf56(X0)
| hd(skaf56(X0)) = hd(app(skaf56(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1162])]) ).
fof(f8885,plain,
( spl0_425
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| hd(app(skaf56(X1),X0)) = hd(skaf56(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f9640,plain,
( ! [X0] :
( nil = skaf56(X0)
| hd(skaf56(X0)) = hd(app(skaf56(X0),sk4)) )
| ~ spl0_2
| ~ spl0_425 ),
inference(resolution,[],[f8886,f252]) ).
fof(f8886,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| hd(app(skaf56(X1),X0)) = hd(skaf56(X1)) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f8885]) ).
fof(f32104,plain,
( spl0_1161
| ~ spl0_1
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f9639,f8885,f245,f32102]) ).
fof(f32102,plain,
( spl0_1161
<=> ! [X0] :
( nil = skaf56(X0)
| hd(skaf56(X0)) = hd(app(skaf56(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1161])]) ).
fof(f9639,plain,
( ! [X0] :
( nil = skaf56(X0)
| hd(skaf56(X0)) = hd(app(skaf56(X0),sk3)) )
| ~ spl0_1
| ~ spl0_425 ),
inference(resolution,[],[f8886,f247]) ).
fof(f32100,plain,
( spl0_1160
| ~ spl0_2
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f9607,f8881,f250,f32098]) ).
fof(f32098,plain,
( spl0_1160
<=> ! [X0] :
( nil = skaf57(X0)
| hd(skaf57(X0)) = hd(app(skaf57(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1160])]) ).
fof(f8881,plain,
( spl0_424
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| hd(app(skaf57(X1),X0)) = hd(skaf57(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f9607,plain,
( ! [X0] :
( nil = skaf57(X0)
| hd(skaf57(X0)) = hd(app(skaf57(X0),sk4)) )
| ~ spl0_2
| ~ spl0_424 ),
inference(resolution,[],[f8882,f252]) ).
fof(f8882,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| hd(app(skaf57(X1),X0)) = hd(skaf57(X1)) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f8881]) ).
fof(f32096,plain,
( spl0_1159
| ~ spl0_1
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f9606,f8881,f245,f32094]) ).
fof(f32094,plain,
( spl0_1159
<=> ! [X0] :
( nil = skaf57(X0)
| hd(skaf57(X0)) = hd(app(skaf57(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1159])]) ).
fof(f9606,plain,
( ! [X0] :
( nil = skaf57(X0)
| hd(skaf57(X0)) = hd(app(skaf57(X0),sk3)) )
| ~ spl0_1
| ~ spl0_424 ),
inference(resolution,[],[f8882,f247]) ).
fof(f32092,plain,
( spl0_1158
| ~ spl0_2
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f9574,f8877,f250,f32090]) ).
fof(f32090,plain,
( spl0_1158
<=> ! [X0] :
( nil = skaf58(X0)
| hd(skaf58(X0)) = hd(app(skaf58(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1158])]) ).
fof(f8877,plain,
( spl0_423
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| hd(app(skaf58(X1),X0)) = hd(skaf58(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f9574,plain,
( ! [X0] :
( nil = skaf58(X0)
| hd(skaf58(X0)) = hd(app(skaf58(X0),sk4)) )
| ~ spl0_2
| ~ spl0_423 ),
inference(resolution,[],[f8878,f252]) ).
fof(f8878,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| hd(app(skaf58(X1),X0)) = hd(skaf58(X1)) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f8877]) ).
fof(f32088,plain,
( spl0_1157
| ~ spl0_1
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f9573,f8877,f245,f32086]) ).
fof(f32086,plain,
( spl0_1157
<=> ! [X0] :
( nil = skaf58(X0)
| hd(skaf58(X0)) = hd(app(skaf58(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1157])]) ).
fof(f9573,plain,
( ! [X0] :
( nil = skaf58(X0)
| hd(skaf58(X0)) = hd(app(skaf58(X0),sk3)) )
| ~ spl0_1
| ~ spl0_423 ),
inference(resolution,[],[f8878,f247]) ).
fof(f32084,plain,
( spl0_1156
| ~ spl0_2
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f9541,f8868,f250,f32082]) ).
fof(f32082,plain,
( spl0_1156
<=> ! [X0] :
( nil = skaf61(X0)
| hd(skaf61(X0)) = hd(app(skaf61(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1156])]) ).
fof(f8868,plain,
( spl0_421
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| hd(app(skaf61(X1),X0)) = hd(skaf61(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f9541,plain,
( ! [X0] :
( nil = skaf61(X0)
| hd(skaf61(X0)) = hd(app(skaf61(X0),sk4)) )
| ~ spl0_2
| ~ spl0_421 ),
inference(resolution,[],[f8869,f252]) ).
fof(f8869,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| hd(app(skaf61(X1),X0)) = hd(skaf61(X1)) )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f8868]) ).
fof(f32080,plain,
( spl0_1155
| ~ spl0_1
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f9540,f8868,f245,f32078]) ).
fof(f32078,plain,
( spl0_1155
<=> ! [X0] :
( nil = skaf61(X0)
| hd(skaf61(X0)) = hd(app(skaf61(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1155])]) ).
fof(f9540,plain,
( ! [X0] :
( nil = skaf61(X0)
| hd(skaf61(X0)) = hd(app(skaf61(X0),sk3)) )
| ~ spl0_1
| ~ spl0_421 ),
inference(resolution,[],[f8869,f247]) ).
fof(f32076,plain,
( spl0_1154
| ~ spl0_2
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f9508,f8864,f250,f32074]) ).
fof(f32074,plain,
( spl0_1154
<=> ! [X0] :
( nil = skaf62(X0)
| hd(skaf62(X0)) = hd(app(skaf62(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1154])]) ).
fof(f8864,plain,
( spl0_420
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| hd(app(skaf62(X1),X0)) = hd(skaf62(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f9508,plain,
( ! [X0] :
( nil = skaf62(X0)
| hd(skaf62(X0)) = hd(app(skaf62(X0),sk4)) )
| ~ spl0_2
| ~ spl0_420 ),
inference(resolution,[],[f8865,f252]) ).
fof(f8865,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| hd(app(skaf62(X1),X0)) = hd(skaf62(X1)) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f8864]) ).
fof(f32072,plain,
( spl0_1153
| ~ spl0_1
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f9507,f8864,f245,f32070]) ).
fof(f32070,plain,
( spl0_1153
<=> ! [X0] :
( nil = skaf62(X0)
| hd(skaf62(X0)) = hd(app(skaf62(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1153])]) ).
fof(f9507,plain,
( ! [X0] :
( nil = skaf62(X0)
| hd(skaf62(X0)) = hd(app(skaf62(X0),sk3)) )
| ~ spl0_1
| ~ spl0_420 ),
inference(resolution,[],[f8865,f247]) ).
fof(f32064,plain,
( spl0_1152
| ~ spl0_2
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f9471,f8860,f250,f32062]) ).
fof(f32062,plain,
( spl0_1152
<=> ! [X0] :
( nil = skaf63(X0)
| hd(skaf63(X0)) = hd(app(skaf63(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1152])]) ).
fof(f8860,plain,
( spl0_419
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| hd(app(skaf63(X1),X0)) = hd(skaf63(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f9471,plain,
( ! [X0] :
( nil = skaf63(X0)
| hd(skaf63(X0)) = hd(app(skaf63(X0),sk4)) )
| ~ spl0_2
| ~ spl0_419 ),
inference(resolution,[],[f8861,f252]) ).
fof(f8861,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| hd(app(skaf63(X1),X0)) = hd(skaf63(X1)) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f8860]) ).
fof(f32060,plain,
( spl0_1151
| ~ spl0_1
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f9470,f8860,f245,f32058]) ).
fof(f32058,plain,
( spl0_1151
<=> ! [X0] :
( nil = skaf63(X0)
| hd(skaf63(X0)) = hd(app(skaf63(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1151])]) ).
fof(f9470,plain,
( ! [X0] :
( nil = skaf63(X0)
| hd(skaf63(X0)) = hd(app(skaf63(X0),sk3)) )
| ~ spl0_1
| ~ spl0_419 ),
inference(resolution,[],[f8861,f247]) ).
fof(f32056,plain,
( spl0_1150
| ~ spl0_2
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f9438,f8856,f250,f32054]) ).
fof(f32054,plain,
( spl0_1150
<=> ! [X0] :
( nil = skaf66(X0)
| hd(skaf66(X0)) = hd(app(skaf66(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1150])]) ).
fof(f8856,plain,
( spl0_418
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| hd(app(skaf66(X1),X0)) = hd(skaf66(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f9438,plain,
( ! [X0] :
( nil = skaf66(X0)
| hd(skaf66(X0)) = hd(app(skaf66(X0),sk4)) )
| ~ spl0_2
| ~ spl0_418 ),
inference(resolution,[],[f8857,f252]) ).
fof(f8857,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| hd(app(skaf66(X1),X0)) = hd(skaf66(X1)) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f8856]) ).
fof(f32052,plain,
( spl0_1149
| ~ spl0_1
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f9437,f8856,f245,f32050]) ).
fof(f32050,plain,
( spl0_1149
<=> ! [X0] :
( nil = skaf66(X0)
| hd(skaf66(X0)) = hd(app(skaf66(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1149])]) ).
fof(f9437,plain,
( ! [X0] :
( nil = skaf66(X0)
| hd(skaf66(X0)) = hd(app(skaf66(X0),sk3)) )
| ~ spl0_1
| ~ spl0_418 ),
inference(resolution,[],[f8857,f247]) ).
fof(f32048,plain,
( spl0_1148
| ~ spl0_2
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f9405,f8852,f250,f32046]) ).
fof(f32046,plain,
( spl0_1148
<=> ! [X0] :
( nil = skaf67(X0)
| hd(skaf67(X0)) = hd(app(skaf67(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1148])]) ).
fof(f8852,plain,
( spl0_417
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| hd(app(skaf67(X1),X0)) = hd(skaf67(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f9405,plain,
( ! [X0] :
( nil = skaf67(X0)
| hd(skaf67(X0)) = hd(app(skaf67(X0),sk4)) )
| ~ spl0_2
| ~ spl0_417 ),
inference(resolution,[],[f8853,f252]) ).
fof(f8853,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| hd(app(skaf67(X1),X0)) = hd(skaf67(X1)) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f8852]) ).
fof(f32044,plain,
( spl0_1147
| ~ spl0_1
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f9404,f8852,f245,f32042]) ).
fof(f32042,plain,
( spl0_1147
<=> ! [X0] :
( nil = skaf67(X0)
| hd(skaf67(X0)) = hd(app(skaf67(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1147])]) ).
fof(f9404,plain,
( ! [X0] :
( nil = skaf67(X0)
| hd(skaf67(X0)) = hd(app(skaf67(X0),sk3)) )
| ~ spl0_1
| ~ spl0_417 ),
inference(resolution,[],[f8853,f247]) ).
fof(f32040,plain,
( spl0_1146
| ~ spl0_2
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f9372,f8848,f250,f32038]) ).
fof(f32038,plain,
( spl0_1146
<=> ! [X0] :
( nil = skaf68(X0)
| hd(skaf68(X0)) = hd(app(skaf68(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1146])]) ).
fof(f8848,plain,
( spl0_416
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| hd(app(skaf68(X1),X0)) = hd(skaf68(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f9372,plain,
( ! [X0] :
( nil = skaf68(X0)
| hd(skaf68(X0)) = hd(app(skaf68(X0),sk4)) )
| ~ spl0_2
| ~ spl0_416 ),
inference(resolution,[],[f8849,f252]) ).
fof(f8849,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| hd(app(skaf68(X1),X0)) = hd(skaf68(X1)) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f8848]) ).
fof(f32036,plain,
( spl0_1145
| ~ spl0_1
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f9371,f8848,f245,f32034]) ).
fof(f32034,plain,
( spl0_1145
<=> ! [X0] :
( nil = skaf68(X0)
| hd(skaf68(X0)) = hd(app(skaf68(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1145])]) ).
fof(f9371,plain,
( ! [X0] :
( nil = skaf68(X0)
| hd(skaf68(X0)) = hd(app(skaf68(X0),sk3)) )
| ~ spl0_1
| ~ spl0_416 ),
inference(resolution,[],[f8849,f247]) ).
fof(f32032,plain,
( spl0_1144
| ~ spl0_2
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f9339,f8844,f250,f32030]) ).
fof(f32030,plain,
( spl0_1144
<=> ! [X0] :
( nil = skaf71(X0)
| hd(skaf71(X0)) = hd(app(skaf71(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1144])]) ).
fof(f8844,plain,
( spl0_415
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| hd(app(skaf71(X1),X0)) = hd(skaf71(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f9339,plain,
( ! [X0] :
( nil = skaf71(X0)
| hd(skaf71(X0)) = hd(app(skaf71(X0),sk4)) )
| ~ spl0_2
| ~ spl0_415 ),
inference(resolution,[],[f8845,f252]) ).
fof(f8845,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| hd(app(skaf71(X1),X0)) = hd(skaf71(X1)) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f8844]) ).
fof(f32028,plain,
( spl0_1143
| ~ spl0_1
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f9338,f8844,f245,f32026]) ).
fof(f32026,plain,
( spl0_1143
<=> ! [X0] :
( nil = skaf71(X0)
| hd(skaf71(X0)) = hd(app(skaf71(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1143])]) ).
fof(f9338,plain,
( ! [X0] :
( nil = skaf71(X0)
| hd(skaf71(X0)) = hd(app(skaf71(X0),sk3)) )
| ~ spl0_1
| ~ spl0_415 ),
inference(resolution,[],[f8845,f247]) ).
fof(f32024,plain,
( ~ spl0_17
| spl0_1142
| ~ spl0_837
| ~ spl0_1092 ),
inference(avatar_split_clause,[],[f31689,f31686,f20503,f32021,f327]) ).
fof(f32021,plain,
( spl0_1142
<=> frontsegP(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1142])]) ).
fof(f31686,plain,
( spl0_1092
<=> ! [X0] :
( frontsegP(sk3,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1092])]) ).
fof(f31689,plain,
( frontsegP(sk3,nil)
| ~ ssList(nil)
| ~ spl0_837
| ~ spl0_1092 ),
inference(resolution,[],[f31687,f20504]) ).
fof(f31687,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_1092 ),
inference(avatar_component_clause,[],[f31686]) ).
fof(f32019,plain,
( spl0_1141
| ~ spl0_2
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f9306,f8840,f250,f32017]) ).
fof(f32017,plain,
( spl0_1141
<=> ! [X0] :
( nil = skaf72(X0)
| hd(skaf72(X0)) = hd(app(skaf72(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1141])]) ).
fof(f8840,plain,
( spl0_414
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| hd(app(skaf72(X1),X0)) = hd(skaf72(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f9306,plain,
( ! [X0] :
( nil = skaf72(X0)
| hd(skaf72(X0)) = hd(app(skaf72(X0),sk4)) )
| ~ spl0_2
| ~ spl0_414 ),
inference(resolution,[],[f8841,f252]) ).
fof(f8841,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| hd(app(skaf72(X1),X0)) = hd(skaf72(X1)) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f8840]) ).
fof(f32015,plain,
( spl0_1140
| ~ spl0_1
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f9305,f8840,f245,f32013]) ).
fof(f32013,plain,
( spl0_1140
<=> ! [X0] :
( nil = skaf72(X0)
| hd(skaf72(X0)) = hd(app(skaf72(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1140])]) ).
fof(f9305,plain,
( ! [X0] :
( nil = skaf72(X0)
| hd(skaf72(X0)) = hd(app(skaf72(X0),sk3)) )
| ~ spl0_1
| ~ spl0_414 ),
inference(resolution,[],[f8841,f247]) ).
fof(f32011,plain,
( spl0_1139
| ~ spl0_2
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f9273,f8836,f250,f32009]) ).
fof(f32009,plain,
( spl0_1139
<=> ! [X0] :
( nil = skaf73(X0)
| hd(skaf73(X0)) = hd(app(skaf73(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1139])]) ).
fof(f8836,plain,
( spl0_413
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| hd(app(skaf73(X1),X0)) = hd(skaf73(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f9273,plain,
( ! [X0] :
( nil = skaf73(X0)
| hd(skaf73(X0)) = hd(app(skaf73(X0),sk4)) )
| ~ spl0_2
| ~ spl0_413 ),
inference(resolution,[],[f8837,f252]) ).
fof(f8837,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| hd(app(skaf73(X1),X0)) = hd(skaf73(X1)) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f8836]) ).
fof(f32007,plain,
( spl0_1138
| ~ spl0_1
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f9272,f8836,f245,f32005]) ).
fof(f32005,plain,
( spl0_1138
<=> ! [X0] :
( nil = skaf73(X0)
| hd(skaf73(X0)) = hd(app(skaf73(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1138])]) ).
fof(f9272,plain,
( ! [X0] :
( nil = skaf73(X0)
| hd(skaf73(X0)) = hd(app(skaf73(X0),sk3)) )
| ~ spl0_1
| ~ spl0_413 ),
inference(resolution,[],[f8837,f247]) ).
fof(f32003,plain,
( spl0_1137
| ~ spl0_2
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f9240,f8832,f250,f32001]) ).
fof(f32001,plain,
( spl0_1137
<=> ! [X0] :
( nil = skaf75(X0)
| hd(skaf75(X0)) = hd(app(skaf75(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1137])]) ).
fof(f8832,plain,
( spl0_412
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| hd(app(skaf75(X1),X0)) = hd(skaf75(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f9240,plain,
( ! [X0] :
( nil = skaf75(X0)
| hd(skaf75(X0)) = hd(app(skaf75(X0),sk4)) )
| ~ spl0_2
| ~ spl0_412 ),
inference(resolution,[],[f8833,f252]) ).
fof(f8833,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| hd(app(skaf75(X1),X0)) = hd(skaf75(X1)) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f8832]) ).
fof(f31999,plain,
( spl0_1136
| ~ spl0_1
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f9239,f8832,f245,f31997]) ).
fof(f31997,plain,
( spl0_1136
<=> ! [X0] :
( nil = skaf75(X0)
| hd(skaf75(X0)) = hd(app(skaf75(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1136])]) ).
fof(f9239,plain,
( ! [X0] :
( nil = skaf75(X0)
| hd(skaf75(X0)) = hd(app(skaf75(X0),sk3)) )
| ~ spl0_1
| ~ spl0_412 ),
inference(resolution,[],[f8833,f247]) ).
fof(f31995,plain,
( spl0_1135
| ~ spl0_2
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f9207,f8820,f250,f31993]) ).
fof(f31993,plain,
( spl0_1135
<=> ! [X0] :
( nil = skaf76(X0)
| hd(skaf76(X0)) = hd(app(skaf76(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1135])]) ).
fof(f8820,plain,
( spl0_411
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| hd(app(skaf76(X1),X0)) = hd(skaf76(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f9207,plain,
( ! [X0] :
( nil = skaf76(X0)
| hd(skaf76(X0)) = hd(app(skaf76(X0),sk4)) )
| ~ spl0_2
| ~ spl0_411 ),
inference(resolution,[],[f8821,f252]) ).
fof(f8821,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| hd(app(skaf76(X1),X0)) = hd(skaf76(X1)) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f8820]) ).
fof(f31991,plain,
( spl0_1134
| ~ spl0_1
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f9206,f8820,f245,f31989]) ).
fof(f31989,plain,
( spl0_1134
<=> ! [X0] :
( nil = skaf76(X0)
| hd(skaf76(X0)) = hd(app(skaf76(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1134])]) ).
fof(f9206,plain,
( ! [X0] :
( nil = skaf76(X0)
| hd(skaf76(X0)) = hd(app(skaf76(X0),sk3)) )
| ~ spl0_1
| ~ spl0_411 ),
inference(resolution,[],[f8821,f247]) ).
fof(f31987,plain,
( spl0_1133
| ~ spl0_2
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f9174,f8816,f250,f31985]) ).
fof(f31985,plain,
( spl0_1133
<=> ! [X0] :
( nil = skaf77(X0)
| hd(skaf77(X0)) = hd(app(skaf77(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1133])]) ).
fof(f8816,plain,
( spl0_410
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| hd(app(skaf77(X1),X0)) = hd(skaf77(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f9174,plain,
( ! [X0] :
( nil = skaf77(X0)
| hd(skaf77(X0)) = hd(app(skaf77(X0),sk4)) )
| ~ spl0_2
| ~ spl0_410 ),
inference(resolution,[],[f8817,f252]) ).
fof(f8817,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| hd(app(skaf77(X1),X0)) = hd(skaf77(X1)) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f8816]) ).
fof(f31983,plain,
( spl0_1132
| ~ spl0_1
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f9173,f8816,f245,f31981]) ).
fof(f31981,plain,
( spl0_1132
<=> ! [X0] :
( nil = skaf77(X0)
| hd(skaf77(X0)) = hd(app(skaf77(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1132])]) ).
fof(f9173,plain,
( ! [X0] :
( nil = skaf77(X0)
| hd(skaf77(X0)) = hd(app(skaf77(X0),sk3)) )
| ~ spl0_1
| ~ spl0_410 ),
inference(resolution,[],[f8817,f247]) ).
fof(f31975,plain,
( spl0_1131
| ~ spl0_2
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f9137,f8812,f250,f31973]) ).
fof(f31973,plain,
( spl0_1131
<=> ! [X0] :
( nil = skaf80(X0)
| hd(skaf80(X0)) = hd(app(skaf80(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1131])]) ).
fof(f8812,plain,
( spl0_409
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| hd(app(skaf80(X1),X0)) = hd(skaf80(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f9137,plain,
( ! [X0] :
( nil = skaf80(X0)
| hd(skaf80(X0)) = hd(app(skaf80(X0),sk4)) )
| ~ spl0_2
| ~ spl0_409 ),
inference(resolution,[],[f8813,f252]) ).
fof(f8813,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| hd(app(skaf80(X1),X0)) = hd(skaf80(X1)) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f8812]) ).
fof(f31971,plain,
( spl0_1130
| ~ spl0_1
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f9136,f8812,f245,f31969]) ).
fof(f31969,plain,
( spl0_1130
<=> ! [X0] :
( nil = skaf80(X0)
| hd(skaf80(X0)) = hd(app(skaf80(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1130])]) ).
fof(f9136,plain,
( ! [X0] :
( nil = skaf80(X0)
| hd(skaf80(X0)) = hd(app(skaf80(X0),sk3)) )
| ~ spl0_1
| ~ spl0_409 ),
inference(resolution,[],[f8813,f247]) ).
fof(f31967,plain,
( spl0_1129
| ~ spl0_2
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f9104,f8808,f250,f31965]) ).
fof(f31965,plain,
( spl0_1129
<=> ! [X0] :
( nil = skaf81(X0)
| hd(skaf81(X0)) = hd(app(skaf81(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1129])]) ).
fof(f8808,plain,
( spl0_408
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| hd(app(skaf81(X1),X0)) = hd(skaf81(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f9104,plain,
( ! [X0] :
( nil = skaf81(X0)
| hd(skaf81(X0)) = hd(app(skaf81(X0),sk4)) )
| ~ spl0_2
| ~ spl0_408 ),
inference(resolution,[],[f8809,f252]) ).
fof(f8809,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| hd(app(skaf81(X1),X0)) = hd(skaf81(X1)) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f8808]) ).
fof(f31963,plain,
( spl0_1128
| ~ spl0_1
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f9103,f8808,f245,f31961]) ).
fof(f31961,plain,
( spl0_1128
<=> ! [X0] :
( nil = skaf81(X0)
| hd(skaf81(X0)) = hd(app(skaf81(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1128])]) ).
fof(f9103,plain,
( ! [X0] :
( nil = skaf81(X0)
| hd(skaf81(X0)) = hd(app(skaf81(X0),sk3)) )
| ~ spl0_1
| ~ spl0_408 ),
inference(resolution,[],[f8809,f247]) ).
fof(f31959,plain,
( spl0_1127
| ~ spl0_2
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f9071,f8804,f250,f31957]) ).
fof(f31957,plain,
( spl0_1127
<=> ! [X0] :
( nil = skaf82(X0)
| hd(skaf82(X0)) = hd(app(skaf82(X0),sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1127])]) ).
fof(f8804,plain,
( spl0_407
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| hd(app(skaf82(X1),X0)) = hd(skaf82(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f9071,plain,
( ! [X0] :
( nil = skaf82(X0)
| hd(skaf82(X0)) = hd(app(skaf82(X0),sk4)) )
| ~ spl0_2
| ~ spl0_407 ),
inference(resolution,[],[f8805,f252]) ).
fof(f8805,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| hd(app(skaf82(X1),X0)) = hd(skaf82(X1)) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f8804]) ).
fof(f31955,plain,
( spl0_1126
| ~ spl0_1
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f9070,f8804,f245,f31953]) ).
fof(f31953,plain,
( spl0_1126
<=> ! [X0] :
( nil = skaf82(X0)
| hd(skaf82(X0)) = hd(app(skaf82(X0),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1126])]) ).
fof(f9070,plain,
( ! [X0] :
( nil = skaf82(X0)
| hd(skaf82(X0)) = hd(app(skaf82(X0),sk3)) )
| ~ spl0_1
| ~ spl0_407 ),
inference(resolution,[],[f8805,f247]) ).
fof(f31951,plain,
( ~ spl0_979
| spl0_1124
| ~ spl0_877
| ~ spl0_1125
| ~ spl0_213
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f2901,f2895,f2102,f31948,f22079,f31944,f27716]) ).
fof(f31944,plain,
( spl0_1124
<=> sk6 = skaf83(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1124])]) ).
fof(f31948,plain,
( spl0_1125
<=> frontsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1125])]) ).
fof(f2895,plain,
( spl0_243
<=> ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sk3)
| ~ ssItem(X0)
| sk6 = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f2901,plain,
( ~ frontsegP(sk4,sk3)
| ~ ssItem(skaf83(sk4))
| sk6 = skaf83(sk4)
| ~ ssList(skaf82(sk4))
| ~ spl0_213
| ~ spl0_243 ),
inference(superposition,[],[f2896,f2104]) ).
fof(f2896,plain,
( ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sk3)
| ~ ssItem(X0)
| sk6 = X0
| ~ ssList(X1) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f2895]) ).
fof(f31942,plain,
( ~ spl0_877
| ~ spl0_979
| spl0_1122
| ~ spl0_1123
| ~ spl0_213
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2879,f2873,f2102,f31939,f31935,f27716,f22079]) ).
fof(f31935,plain,
( spl0_1122
<=> frontsegP(nil,skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1122])]) ).
fof(f31939,plain,
( spl0_1123
<=> frontsegP(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1123])]) ).
fof(f2873,plain,
( spl0_241
<=> ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2879,plain,
( ~ frontsegP(sk3,sk4)
| frontsegP(nil,skaf82(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssItem(skaf83(sk4))
| ~ spl0_213
| ~ spl0_241 ),
inference(superposition,[],[f2874,f2104]) ).
fof(f2874,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f31932,plain,
( ~ spl0_871
| ~ spl0_977
| spl0_1121
| ~ spl0_838
| ~ spl0_212
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2878,f2873,f2062,f20507,f31929,f27703,f21639]) ).
fof(f31929,plain,
( spl0_1121
<=> frontsegP(nil,skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1121])]) ).
fof(f20507,plain,
( spl0_838
<=> frontsegP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).
fof(f2878,plain,
( ~ frontsegP(sk3,sk3)
| frontsegP(nil,skaf82(sk3))
| ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3))
| ~ spl0_212
| ~ spl0_241 ),
inference(superposition,[],[f2874,f2064]) ).
fof(f31927,plain,
( spl0_1120
| ~ spl0_2
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2843,f2525,f250,f31925]) ).
fof(f31925,plain,
( spl0_1120
<=> ! [X0] :
( ~ ssList(X0)
| app(app(sk4,sk4),X0) = app(sk4,app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1120])]) ).
fof(f2843,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk4,sk4),X0) = app(sk4,app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_228 ),
inference(resolution,[],[f2526,f252]) ).
fof(f31923,plain,
( spl0_1119
| ~ spl0_1
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2842,f2525,f245,f31921]) ).
fof(f31921,plain,
( spl0_1119
<=> ! [X0] :
( ~ ssList(X0)
| app(app(sk4,sk3),X0) = app(sk4,app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1119])]) ).
fof(f2842,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk4,sk3),X0) = app(sk4,app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_228 ),
inference(resolution,[],[f2526,f247]) ).
fof(f31919,plain,
( spl0_1118
| ~ spl0_2
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2809,f2521,f250,f31917]) ).
fof(f31917,plain,
( spl0_1118
<=> ! [X0] :
( ~ ssList(X0)
| app(app(sk3,sk4),X0) = app(sk3,app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1118])]) ).
fof(f2809,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk3,sk4),X0) = app(sk3,app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_227 ),
inference(resolution,[],[f2522,f252]) ).
fof(f31915,plain,
( spl0_1117
| ~ spl0_1
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2808,f2521,f245,f31913]) ).
fof(f31913,plain,
( spl0_1117
<=> ! [X0] :
( ~ ssList(X0)
| app(app(sk3,sk3),X0) = app(sk3,app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1117])]) ).
fof(f2808,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk3,sk3),X0) = app(sk3,app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_227 ),
inference(resolution,[],[f2522,f247]) ).
fof(f31911,plain,
( spl0_1116
| ~ spl0_64
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2493,f2377,f521,f31909]) ).
fof(f31909,plain,
( spl0_1116
<=> ! [X0,X1] : tl(app(sk4,skaf42(X0,X1))) = app(tl(sk4),skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1116])]) ).
fof(f521,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2377,plain,
( spl0_220
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk4,X0)) = app(tl(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2493,plain,
( ! [X0,X1] : tl(app(sk4,skaf42(X0,X1))) = app(tl(sk4),skaf42(X0,X1))
| ~ spl0_64
| ~ spl0_220 ),
inference(resolution,[],[f2378,f522]) ).
fof(f522,plain,
( ! [X0,X1] : ssList(skaf42(X0,X1))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f2378,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk4,X0)) = app(tl(sk4),X0) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f31907,plain,
( spl0_1115
| ~ spl0_63
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2492,f2377,f517,f31905]) ).
fof(f31905,plain,
( spl0_1115
<=> ! [X0,X1] : tl(app(sk4,skaf43(X0,X1))) = app(tl(sk4),skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1115])]) ).
fof(f2492,plain,
( ! [X0,X1] : tl(app(sk4,skaf43(X0,X1))) = app(tl(sk4),skaf43(X0,X1))
| ~ spl0_63
| ~ spl0_220 ),
inference(resolution,[],[f2378,f518]) ).
fof(f31903,plain,
( spl0_1114
| ~ spl0_62
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2491,f2377,f513,f31901]) ).
fof(f31901,plain,
( spl0_1114
<=> ! [X0,X1] : tl(app(sk4,skaf45(X0,X1))) = app(tl(sk4),skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1114])]) ).
fof(f513,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f2491,plain,
( ! [X0,X1] : tl(app(sk4,skaf45(X0,X1))) = app(tl(sk4),skaf45(X0,X1))
| ~ spl0_62
| ~ spl0_220 ),
inference(resolution,[],[f2378,f514]) ).
fof(f514,plain,
( ! [X0,X1] : ssList(skaf45(X0,X1))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f31899,plain,
( spl0_1113
| ~ spl0_61
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2490,f2377,f509,f31897]) ).
fof(f31897,plain,
( spl0_1113
<=> ! [X0,X1] : tl(app(sk4,skaf46(X0,X1))) = app(tl(sk4),skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1113])]) ).
fof(f509,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2490,plain,
( ! [X0,X1] : tl(app(sk4,skaf46(X0,X1))) = app(tl(sk4),skaf46(X0,X1))
| ~ spl0_61
| ~ spl0_220 ),
inference(resolution,[],[f2378,f510]) ).
fof(f510,plain,
( ! [X0,X1] : ssList(skaf46(X0,X1))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f31895,plain,
( ~ spl0_17
| spl0_1112
| ~ spl0_70
| ~ spl0_1091 ),
inference(avatar_split_clause,[],[f31684,f31678,f546,f31892,f327]) ).
fof(f31892,plain,
( spl0_1112
<=> rearsegP(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1112])]) ).
fof(f546,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f31678,plain,
( spl0_1091
<=> ! [X0] :
( rearsegP(sk4,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1091])]) ).
fof(f31684,plain,
( rearsegP(sk4,nil)
| ~ ssList(nil)
| ~ spl0_70
| ~ spl0_1091 ),
inference(duplicate_literal_removal,[],[f31681]) ).
fof(f31681,plain,
( rearsegP(sk4,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl0_70
| ~ spl0_1091 ),
inference(resolution,[],[f31679,f547]) ).
fof(f547,plain,
( ! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f31679,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| rearsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1091 ),
inference(avatar_component_clause,[],[f31678]) ).
fof(f31890,plain,
( spl0_1111
| ~ spl0_60
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2489,f2377,f505,f31888]) ).
fof(f31888,plain,
( spl0_1111
<=> ! [X0,X1] : tl(app(sk4,skaf47(X0,X1))) = app(tl(sk4),skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1111])]) ).
fof(f505,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2489,plain,
( ! [X0,X1] : tl(app(sk4,skaf47(X0,X1))) = app(tl(sk4),skaf47(X0,X1))
| ~ spl0_60
| ~ spl0_220 ),
inference(resolution,[],[f2378,f506]) ).
fof(f506,plain,
( ! [X0,X1] : ssList(skaf47(X0,X1))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f31886,plain,
( spl0_1110
| ~ spl0_59
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2488,f2377,f501,f31884]) ).
fof(f31884,plain,
( spl0_1110
<=> ! [X0,X1] : tl(app(sk4,skaf48(X0,X1))) = app(tl(sk4),skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1110])]) ).
fof(f501,plain,
( spl0_59
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2488,plain,
( ! [X0,X1] : tl(app(sk4,skaf48(X0,X1))) = app(tl(sk4),skaf48(X0,X1))
| ~ spl0_59
| ~ spl0_220 ),
inference(resolution,[],[f2378,f502]) ).
fof(f502,plain,
( ! [X0,X1] : ssList(skaf48(X0,X1))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f31880,plain,
( spl0_1109
| ~ spl0_64
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2364,f2334,f521,f31878]) ).
fof(f31878,plain,
( spl0_1109
<=> ! [X0,X1] : tl(app(sk3,skaf42(X0,X1))) = app(tl(sk3),skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1109])]) ).
fof(f2364,plain,
( ! [X0,X1] : tl(app(sk3,skaf42(X0,X1))) = app(tl(sk3),skaf42(X0,X1))
| ~ spl0_64
| ~ spl0_218 ),
inference(resolution,[],[f2335,f522]) ).
fof(f31874,plain,
( spl0_1108
| ~ spl0_63
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2363,f2334,f517,f31872]) ).
fof(f31872,plain,
( spl0_1108
<=> ! [X0,X1] : tl(app(sk3,skaf43(X0,X1))) = app(tl(sk3),skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1108])]) ).
fof(f2363,plain,
( ! [X0,X1] : tl(app(sk3,skaf43(X0,X1))) = app(tl(sk3),skaf43(X0,X1))
| ~ spl0_63
| ~ spl0_218 ),
inference(resolution,[],[f2335,f518]) ).
fof(f31868,plain,
( spl0_1107
| ~ spl0_62
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2362,f2334,f513,f31866]) ).
fof(f31866,plain,
( spl0_1107
<=> ! [X0,X1] : tl(app(sk3,skaf45(X0,X1))) = app(tl(sk3),skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1107])]) ).
fof(f2362,plain,
( ! [X0,X1] : tl(app(sk3,skaf45(X0,X1))) = app(tl(sk3),skaf45(X0,X1))
| ~ spl0_62
| ~ spl0_218 ),
inference(resolution,[],[f2335,f514]) ).
fof(f31862,plain,
( spl0_1106
| ~ spl0_61
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2361,f2334,f509,f31860]) ).
fof(f31860,plain,
( spl0_1106
<=> ! [X0,X1] : tl(app(sk3,skaf46(X0,X1))) = app(tl(sk3),skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1106])]) ).
fof(f2361,plain,
( ! [X0,X1] : tl(app(sk3,skaf46(X0,X1))) = app(tl(sk3),skaf46(X0,X1))
| ~ spl0_61
| ~ spl0_218 ),
inference(resolution,[],[f2335,f510]) ).
fof(f31856,plain,
( spl0_1105
| ~ spl0_60
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2360,f2334,f505,f31854]) ).
fof(f31854,plain,
( spl0_1105
<=> ! [X0,X1] : tl(app(sk3,skaf47(X0,X1))) = app(tl(sk3),skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1105])]) ).
fof(f2360,plain,
( ! [X0,X1] : tl(app(sk3,skaf47(X0,X1))) = app(tl(sk3),skaf47(X0,X1))
| ~ spl0_60
| ~ spl0_218 ),
inference(resolution,[],[f2335,f506]) ).
fof(f31850,plain,
( spl0_1104
| ~ spl0_59
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2359,f2334,f501,f31848]) ).
fof(f31848,plain,
( spl0_1104
<=> ! [X0,X1] : tl(app(sk3,skaf48(X0,X1))) = app(tl(sk3),skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1104])]) ).
fof(f2359,plain,
( ! [X0,X1] : tl(app(sk3,skaf48(X0,X1))) = app(tl(sk3),skaf48(X0,X1))
| ~ spl0_59
| ~ spl0_218 ),
inference(resolution,[],[f2335,f502]) ).
fof(f31846,plain,
( spl0_1103
| ~ spl0_99
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2329,f2220,f759,f31844]) ).
fof(f31844,plain,
( spl0_1103
<=> ! [X0] :
( hd(sk4) = hd(app(sk4,tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1103])]) ).
fof(f2329,plain,
( ! [X0] :
( hd(sk4) = hd(app(sk4,tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_216 ),
inference(resolution,[],[f2221,f760]) ).
fof(f31842,plain,
( spl0_1102
| ~ spl0_103
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2328,f2220,f775,f31840]) ).
fof(f31840,plain,
( spl0_1102
<=> ! [X0,X1] :
( hd(sk4) = hd(app(sk4,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1102])]) ).
fof(f2328,plain,
( ! [X0,X1] :
( hd(sk4) = hd(app(sk4,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_216 ),
inference(resolution,[],[f2221,f776]) ).
fof(f31834,plain,
( spl0_1101
| ~ spl0_104
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2327,f2220,f779,f31832]) ).
fof(f31832,plain,
( spl0_1101
<=> ! [X0,X1] :
( hd(sk4) = hd(app(sk4,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1101])]) ).
fof(f2327,plain,
( ! [X0,X1] :
( hd(sk4) = hd(app(sk4,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_216 ),
inference(resolution,[],[f2221,f780]) ).
fof(f31790,plain,
( spl0_1100
| ~ spl0_320
| ~ spl0_1099 ),
inference(avatar_split_clause,[],[f31786,f31783,f4601,f31788]) ).
fof(f31788,plain,
( spl0_1100
<=> ! [X0] :
( sk6 = hd(app(sk3,tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1100])]) ).
fof(f4601,plain,
( spl0_320
<=> sk6 = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f31783,plain,
( spl0_1099
<=> ! [X0] :
( hd(sk3) = hd(app(sk3,tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1099])]) ).
fof(f31786,plain,
( ! [X0] :
( sk6 = hd(app(sk3,tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_320
| ~ spl0_1099 ),
inference(forward_demodulation,[],[f31784,f4603]) ).
fof(f4603,plain,
( sk6 = hd(sk3)
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f4601]) ).
fof(f31784,plain,
( ! [X0] :
( hd(sk3) = hd(app(sk3,tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_1099 ),
inference(avatar_component_clause,[],[f31783]) ).
fof(f31785,plain,
( spl0_1099
| ~ spl0_99
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2216,f2183,f759,f31783]) ).
fof(f2183,plain,
( spl0_215
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2216,plain,
( ! [X0] :
( hd(sk3) = hd(app(sk3,tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_215 ),
inference(resolution,[],[f2184,f760]) ).
fof(f2184,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f31745,plain,
( spl0_1098
| ~ spl0_320
| ~ spl0_1097 ),
inference(avatar_split_clause,[],[f31741,f31738,f4601,f31743]) ).
fof(f31743,plain,
( spl0_1098
<=> ! [X0,X1] :
( sk6 = hd(app(sk3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1098])]) ).
fof(f31738,plain,
( spl0_1097
<=> ! [X0,X1] :
( hd(sk3) = hd(app(sk3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1097])]) ).
fof(f31741,plain,
( ! [X0,X1] :
( sk6 = hd(app(sk3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_320
| ~ spl0_1097 ),
inference(forward_demodulation,[],[f31739,f4603]) ).
fof(f31739,plain,
( ! [X0,X1] :
( hd(sk3) = hd(app(sk3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_1097 ),
inference(avatar_component_clause,[],[f31738]) ).
fof(f31740,plain,
( spl0_1097
| ~ spl0_103
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2215,f2183,f775,f31738]) ).
fof(f2215,plain,
( ! [X0,X1] :
( hd(sk3) = hd(app(sk3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_215 ),
inference(resolution,[],[f2184,f776]) ).
fof(f31716,plain,
( spl0_1096
| ~ spl0_320
| ~ spl0_1095 ),
inference(avatar_split_clause,[],[f31712,f31709,f4601,f31714]) ).
fof(f31714,plain,
( spl0_1096
<=> ! [X0,X1] :
( sk6 = hd(app(sk3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1096])]) ).
fof(f31709,plain,
( spl0_1095
<=> ! [X0,X1] :
( hd(sk3) = hd(app(sk3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1095])]) ).
fof(f31712,plain,
( ! [X0,X1] :
( sk6 = hd(app(sk3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_320
| ~ spl0_1095 ),
inference(forward_demodulation,[],[f31710,f4603]) ).
fof(f31710,plain,
( ! [X0,X1] :
( hd(sk3) = hd(app(sk3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_1095 ),
inference(avatar_component_clause,[],[f31709]) ).
fof(f31711,plain,
( spl0_1095
| ~ spl0_104
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2214,f2183,f779,f31709]) ).
fof(f2214,plain,
( ! [X0,X1] :
( hd(sk3) = hd(app(sk3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_215 ),
inference(resolution,[],[f2184,f780]) ).
fof(f31707,plain,
( ~ spl0_17
| spl0_1094
| ~ spl0_70
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f31676,f31670,f546,f31704,f327]) ).
fof(f31704,plain,
( spl0_1094
<=> rearsegP(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1094])]) ).
fof(f31670,plain,
( spl0_1090
<=> ! [X0] :
( rearsegP(sk3,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1090])]) ).
fof(f31676,plain,
( rearsegP(sk3,nil)
| ~ ssList(nil)
| ~ spl0_70
| ~ spl0_1090 ),
inference(duplicate_literal_removal,[],[f31673]) ).
fof(f31673,plain,
( rearsegP(sk3,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl0_70
| ~ spl0_1090 ),
inference(resolution,[],[f31671,f547]) ).
fof(f31671,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| rearsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_1090 ),
inference(avatar_component_clause,[],[f31670]) ).
fof(f31697,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_1093
| ~ spl0_152
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f1881,f1790,f1115,f31695,f327,f250]) ).
fof(f1115,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1881,plain,
( ! [X0] :
( frontsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk4) )
| ~ spl0_152
| ~ spl0_203 ),
inference(superposition,[],[f1116,f1792]) ).
fof(f1116,plain,
( ! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f31688,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_1092
| ~ spl0_152
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1863,f1691,f1115,f31686,f327,f245]) ).
fof(f1863,plain,
( ! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk3) )
| ~ spl0_152
| ~ spl0_197 ),
inference(superposition,[],[f1116,f1693]) ).
fof(f31680,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_1091
| ~ spl0_151
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1844,f1530,f1111,f31678,f327,f250]) ).
fof(f1111,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1844,plain,
( ! [X0] :
( rearsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk4) )
| ~ spl0_151
| ~ spl0_190 ),
inference(superposition,[],[f1112,f1532]) ).
fof(f1112,plain,
( ! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f31672,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_1090
| ~ spl0_151
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1826,f1471,f1111,f31670,f327,f245]) ).
fof(f1826,plain,
( ! [X0] :
( rearsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk3) )
| ~ spl0_151
| ~ spl0_187 ),
inference(superposition,[],[f1112,f1473]) ).
fof(f31580,plain,
( spl0_1089
| ~ spl0_215
| ~ spl0_320
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f28057,f27693,f4601,f2183,f31577]) ).
fof(f31577,plain,
( spl0_1089
<=> sk6 = hd(app(sk3,tl(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1089])]) ).
fof(f28057,plain,
( sk6 = hd(app(sk3,tl(sk4)))
| ~ spl0_215
| ~ spl0_320
| ~ spl0_975 ),
inference(forward_demodulation,[],[f27927,f4603]) ).
fof(f27927,plain,
( hd(sk3) = hd(app(sk3,tl(sk4)))
| ~ spl0_215
| ~ spl0_975 ),
inference(resolution,[],[f27694,f2184]) ).
fof(f31145,plain,
( spl0_1088
| ~ spl0_346
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27939,f27693,f5674,f31142]) ).
fof(f31142,plain,
( spl0_1088
<=> tl(sk4) = skaf45(tl(sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1088])]) ).
fof(f5674,plain,
( spl0_346
<=> ! [X0] :
( skaf45(X0,nil) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f27939,plain,
( tl(sk4) = skaf45(tl(sk4),nil)
| ~ spl0_346
| ~ spl0_975 ),
inference(resolution,[],[f27694,f5675]) ).
fof(f5675,plain,
( ! [X0] :
( ~ ssList(X0)
| skaf45(X0,nil) = X0 )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f5674]) ).
fof(f30710,plain,
( spl0_1087
| ~ spl0_344
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27937,f27693,f5633,f30707]) ).
fof(f30707,plain,
( spl0_1087
<=> tl(sk4) = skaf46(tl(sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1087])]) ).
fof(f5633,plain,
( spl0_344
<=> ! [X0] :
( skaf46(X0,nil) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f27937,plain,
( tl(sk4) = skaf46(tl(sk4),nil)
| ~ spl0_344
| ~ spl0_975 ),
inference(resolution,[],[f27694,f5634]) ).
fof(f5634,plain,
( ! [X0] :
( ~ ssList(X0)
| skaf46(X0,nil) = X0 )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f5633]) ).
fof(f30219,plain,
( spl0_1086
| ~ spl0_319
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27935,f27693,f4595,f30217]) ).
fof(f30217,plain,
( spl0_1086
<=> ! [X0] : hd(cons(X0,tl(sk4))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1086])]) ).
fof(f4595,plain,
( spl0_319
<=> ! [X0,X1] :
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f27935,plain,
( ! [X0] : hd(cons(X0,tl(sk4))) = X0
| ~ spl0_319
| ~ spl0_975 ),
inference(resolution,[],[f27694,f4596]) ).
fof(f4596,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f4595]) ).
fof(f29150,plain,
( spl0_1085
| ~ spl0_877
| ~ spl0_224
| ~ spl0_980 ),
inference(avatar_split_clause,[],[f27726,f27720,f2501,f22079,f29147]) ).
fof(f29147,plain,
( spl0_1085
<=> memberP(sk3,skaf83(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1085])]) ).
fof(f27720,plain,
( spl0_980
<=> memberP(sk4,skaf83(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).
fof(f27726,plain,
( ~ ssItem(skaf83(sk4))
| memberP(sk3,skaf83(sk4))
| ~ spl0_224
| ~ spl0_980 ),
inference(resolution,[],[f27722,f2502]) ).
fof(f27722,plain,
( memberP(sk4,skaf83(sk4))
| ~ spl0_980 ),
inference(avatar_component_clause,[],[f27720]) ).
fof(f28774,plain,
( spl0_1084
| ~ spl0_212
| ~ spl0_981 ),
inference(avatar_split_clause,[],[f27737,f27730,f2062,f28771]) ).
fof(f28771,plain,
( spl0_1084
<=> sk3 = cons(sk6,skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1084])]) ).
fof(f27730,plain,
( spl0_981
<=> sk6 = skaf83(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).
fof(f27737,plain,
( sk3 = cons(sk6,skaf82(sk3))
| ~ spl0_212
| ~ spl0_981 ),
inference(superposition,[],[f2064,f27732]) ).
fof(f27732,plain,
( sk6 = skaf83(sk3)
| ~ spl0_981 ),
inference(avatar_component_clause,[],[f27730]) ).
fof(f28508,plain,
( spl0_1083
| ~ spl0_2
| ~ spl0_964 ),
inference(avatar_split_clause,[],[f27320,f26538,f250,f28506]) ).
fof(f26538,plain,
( spl0_964
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).
fof(f27320,plain,
( ! [X0] : cons(skaf44(X0),sk4) = app(cons(skaf44(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_964 ),
inference(resolution,[],[f26539,f252]) ).
fof(f26539,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) )
| ~ spl0_964 ),
inference(avatar_component_clause,[],[f26538]) ).
fof(f28504,plain,
( spl0_1082
| ~ spl0_1
| ~ spl0_964 ),
inference(avatar_split_clause,[],[f27319,f26538,f245,f28502]) ).
fof(f27319,plain,
( ! [X0] : cons(skaf44(X0),sk3) = app(cons(skaf44(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_964 ),
inference(resolution,[],[f26539,f247]) ).
fof(f28500,plain,
( spl0_1081
| ~ spl0_2
| ~ spl0_963 ),
inference(avatar_split_clause,[],[f27285,f26534,f250,f28498]) ).
fof(f28498,plain,
( spl0_1081
<=> ! [X0] : cons(skaf49(X0),sk4) = app(cons(skaf49(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1081])]) ).
fof(f26534,plain,
( spl0_963
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).
fof(f27285,plain,
( ! [X0] : cons(skaf49(X0),sk4) = app(cons(skaf49(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_963 ),
inference(resolution,[],[f26535,f252]) ).
fof(f26535,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) )
| ~ spl0_963 ),
inference(avatar_component_clause,[],[f26534]) ).
fof(f28496,plain,
( spl0_1080
| ~ spl0_1
| ~ spl0_963 ),
inference(avatar_split_clause,[],[f27284,f26534,f245,f28494]) ).
fof(f28494,plain,
( spl0_1080
<=> ! [X0] : cons(skaf49(X0),sk3) = app(cons(skaf49(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).
fof(f27284,plain,
( ! [X0] : cons(skaf49(X0),sk3) = app(cons(skaf49(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_963 ),
inference(resolution,[],[f26535,f247]) ).
fof(f28492,plain,
( spl0_1079
| ~ spl0_2
| ~ spl0_962 ),
inference(avatar_split_clause,[],[f27249,f26530,f250,f28490]) ).
fof(f28490,plain,
( spl0_1079
<=> ! [X0] : cons(skaf50(X0),sk4) = app(cons(skaf50(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).
fof(f26530,plain,
( spl0_962
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).
fof(f27249,plain,
( ! [X0] : cons(skaf50(X0),sk4) = app(cons(skaf50(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_962 ),
inference(resolution,[],[f26531,f252]) ).
fof(f26531,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) )
| ~ spl0_962 ),
inference(avatar_component_clause,[],[f26530]) ).
fof(f28488,plain,
( spl0_1078
| ~ spl0_1
| ~ spl0_962 ),
inference(avatar_split_clause,[],[f27248,f26530,f245,f28486]) ).
fof(f28486,plain,
( spl0_1078
<=> ! [X0] : cons(skaf50(X0),sk3) = app(cons(skaf50(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).
fof(f27248,plain,
( ! [X0] : cons(skaf50(X0),sk3) = app(cons(skaf50(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_962 ),
inference(resolution,[],[f26531,f247]) ).
fof(f28484,plain,
( spl0_1077
| ~ spl0_2
| ~ spl0_961 ),
inference(avatar_split_clause,[],[f27214,f26526,f250,f28482]) ).
fof(f28482,plain,
( spl0_1077
<=> ! [X0] : cons(skaf54(X0),sk4) = app(cons(skaf54(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).
fof(f26526,plain,
( spl0_961
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).
fof(f27214,plain,
( ! [X0] : cons(skaf54(X0),sk4) = app(cons(skaf54(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_961 ),
inference(resolution,[],[f26527,f252]) ).
fof(f26527,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) )
| ~ spl0_961 ),
inference(avatar_component_clause,[],[f26526]) ).
fof(f28480,plain,
( spl0_1076
| ~ spl0_1
| ~ spl0_961 ),
inference(avatar_split_clause,[],[f27213,f26526,f245,f28478]) ).
fof(f28478,plain,
( spl0_1076
<=> ! [X0] : cons(skaf54(X0),sk3) = app(cons(skaf54(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).
fof(f27213,plain,
( ! [X0] : cons(skaf54(X0),sk3) = app(cons(skaf54(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_961 ),
inference(resolution,[],[f26527,f247]) ).
fof(f28476,plain,
( spl0_1075
| ~ spl0_2
| ~ spl0_960 ),
inference(avatar_split_clause,[],[f27179,f26522,f250,f28474]) ).
fof(f28474,plain,
( spl0_1075
<=> ! [X0] : cons(skaf55(X0),sk4) = app(cons(skaf55(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).
fof(f26522,plain,
( spl0_960
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).
fof(f27179,plain,
( ! [X0] : cons(skaf55(X0),sk4) = app(cons(skaf55(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_960 ),
inference(resolution,[],[f26523,f252]) ).
fof(f26523,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) )
| ~ spl0_960 ),
inference(avatar_component_clause,[],[f26522]) ).
fof(f28472,plain,
( spl0_1074
| ~ spl0_1
| ~ spl0_960 ),
inference(avatar_split_clause,[],[f27178,f26522,f245,f28470]) ).
fof(f28470,plain,
( spl0_1074
<=> ! [X0] : cons(skaf55(X0),sk3) = app(cons(skaf55(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).
fof(f27178,plain,
( ! [X0] : cons(skaf55(X0),sk3) = app(cons(skaf55(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_960 ),
inference(resolution,[],[f26523,f247]) ).
fof(f28468,plain,
( spl0_1073
| ~ spl0_2
| ~ spl0_958 ),
inference(avatar_split_clause,[],[f27144,f26513,f250,f28466]) ).
fof(f28466,plain,
( spl0_1073
<=> ! [X0] : cons(skaf59(X0),sk4) = app(cons(skaf59(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).
fof(f26513,plain,
( spl0_958
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).
fof(f27144,plain,
( ! [X0] : cons(skaf59(X0),sk4) = app(cons(skaf59(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_958 ),
inference(resolution,[],[f26514,f252]) ).
fof(f26514,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) )
| ~ spl0_958 ),
inference(avatar_component_clause,[],[f26513]) ).
fof(f28464,plain,
( spl0_1072
| ~ spl0_1
| ~ spl0_958 ),
inference(avatar_split_clause,[],[f27143,f26513,f245,f28462]) ).
fof(f28462,plain,
( spl0_1072
<=> ! [X0] : cons(skaf59(X0),sk3) = app(cons(skaf59(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).
fof(f27143,plain,
( ! [X0] : cons(skaf59(X0),sk3) = app(cons(skaf59(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_958 ),
inference(resolution,[],[f26514,f247]) ).
fof(f28460,plain,
( spl0_1071
| ~ spl0_2
| ~ spl0_957 ),
inference(avatar_split_clause,[],[f27109,f26509,f250,f28458]) ).
fof(f28458,plain,
( spl0_1071
<=> ! [X0] : cons(skaf60(X0),sk4) = app(cons(skaf60(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).
fof(f26509,plain,
( spl0_957
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).
fof(f27109,plain,
( ! [X0] : cons(skaf60(X0),sk4) = app(cons(skaf60(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_957 ),
inference(resolution,[],[f26510,f252]) ).
fof(f26510,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) )
| ~ spl0_957 ),
inference(avatar_component_clause,[],[f26509]) ).
fof(f28456,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_102
| ~ spl0_1029 ),
inference(avatar_split_clause,[],[f28307,f28263,f771,f250,f260]) ).
fof(f260,plain,
( spl0_4
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f771,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f28263,plain,
( spl0_1029
<=> frontsegP(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).
fof(f28307,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_102
| ~ spl0_1029 ),
inference(resolution,[],[f28265,f772]) ).
fof(f772,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f28265,plain,
( frontsegP(nil,sk4)
| ~ spl0_1029 ),
inference(avatar_component_clause,[],[f28263]) ).
fof(f28455,plain,
( spl0_1070
| ~ spl0_1
| ~ spl0_957 ),
inference(avatar_split_clause,[],[f27108,f26509,f245,f28453]) ).
fof(f28453,plain,
( spl0_1070
<=> ! [X0] : cons(skaf60(X0),sk3) = app(cons(skaf60(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).
fof(f27108,plain,
( ! [X0] : cons(skaf60(X0),sk3) = app(cons(skaf60(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_957 ),
inference(resolution,[],[f26510,f247]) ).
fof(f28451,plain,
( spl0_1069
| ~ spl0_2
| ~ spl0_956 ),
inference(avatar_split_clause,[],[f27074,f26505,f250,f28449]) ).
fof(f28449,plain,
( spl0_1069
<=> ! [X0] : cons(skaf64(X0),sk4) = app(cons(skaf64(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).
fof(f26505,plain,
( spl0_956
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).
fof(f27074,plain,
( ! [X0] : cons(skaf64(X0),sk4) = app(cons(skaf64(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_956 ),
inference(resolution,[],[f26506,f252]) ).
fof(f26506,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) )
| ~ spl0_956 ),
inference(avatar_component_clause,[],[f26505]) ).
fof(f28447,plain,
( spl0_1068
| ~ spl0_1
| ~ spl0_956 ),
inference(avatar_split_clause,[],[f27073,f26505,f245,f28445]) ).
fof(f28445,plain,
( spl0_1068
<=> ! [X0] : cons(skaf64(X0),sk3) = app(cons(skaf64(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).
fof(f27073,plain,
( ! [X0] : cons(skaf64(X0),sk3) = app(cons(skaf64(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_956 ),
inference(resolution,[],[f26506,f247]) ).
fof(f28443,plain,
( spl0_1067
| ~ spl0_2
| ~ spl0_955 ),
inference(avatar_split_clause,[],[f27039,f26501,f250,f28441]) ).
fof(f28441,plain,
( spl0_1067
<=> ! [X0] : cons(skaf65(X0),sk4) = app(cons(skaf65(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).
fof(f26501,plain,
( spl0_955
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).
fof(f27039,plain,
( ! [X0] : cons(skaf65(X0),sk4) = app(cons(skaf65(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_955 ),
inference(resolution,[],[f26502,f252]) ).
fof(f26502,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) )
| ~ spl0_955 ),
inference(avatar_component_clause,[],[f26501]) ).
fof(f28439,plain,
( spl0_1066
| ~ spl0_1
| ~ spl0_955 ),
inference(avatar_split_clause,[],[f27038,f26501,f245,f28437]) ).
fof(f28437,plain,
( spl0_1066
<=> ! [X0] : cons(skaf65(X0),sk3) = app(cons(skaf65(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).
fof(f27038,plain,
( ! [X0] : cons(skaf65(X0),sk3) = app(cons(skaf65(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_955 ),
inference(resolution,[],[f26502,f247]) ).
fof(f28435,plain,
( spl0_1065
| ~ spl0_2
| ~ spl0_954 ),
inference(avatar_split_clause,[],[f27004,f26497,f250,f28433]) ).
fof(f28433,plain,
( spl0_1065
<=> ! [X0] : cons(skaf69(X0),sk4) = app(cons(skaf69(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).
fof(f26497,plain,
( spl0_954
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).
fof(f27004,plain,
( ! [X0] : cons(skaf69(X0),sk4) = app(cons(skaf69(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_954 ),
inference(resolution,[],[f26498,f252]) ).
fof(f26498,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) )
| ~ spl0_954 ),
inference(avatar_component_clause,[],[f26497]) ).
fof(f28431,plain,
( spl0_1064
| ~ spl0_1
| ~ spl0_954 ),
inference(avatar_split_clause,[],[f27003,f26497,f245,f28429]) ).
fof(f28429,plain,
( spl0_1064
<=> ! [X0] : cons(skaf69(X0),sk3) = app(cons(skaf69(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).
fof(f27003,plain,
( ! [X0] : cons(skaf69(X0),sk3) = app(cons(skaf69(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_954 ),
inference(resolution,[],[f26498,f247]) ).
fof(f28427,plain,
( spl0_1063
| ~ spl0_2
| ~ spl0_953 ),
inference(avatar_split_clause,[],[f26969,f26493,f250,f28425]) ).
fof(f28425,plain,
( spl0_1063
<=> ! [X0] : cons(skaf70(X0),sk4) = app(cons(skaf70(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).
fof(f26493,plain,
( spl0_953
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).
fof(f26969,plain,
( ! [X0] : cons(skaf70(X0),sk4) = app(cons(skaf70(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_953 ),
inference(resolution,[],[f26494,f252]) ).
fof(f26494,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) )
| ~ spl0_953 ),
inference(avatar_component_clause,[],[f26493]) ).
fof(f28423,plain,
( spl0_1062
| ~ spl0_1
| ~ spl0_953 ),
inference(avatar_split_clause,[],[f26968,f26493,f245,f28421]) ).
fof(f28421,plain,
( spl0_1062
<=> ! [X0] : cons(skaf70(X0),sk3) = app(cons(skaf70(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).
fof(f26968,plain,
( ! [X0] : cons(skaf70(X0),sk3) = app(cons(skaf70(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_953 ),
inference(resolution,[],[f26494,f247]) ).
fof(f28419,plain,
( spl0_1061
| ~ spl0_2
| ~ spl0_952 ),
inference(avatar_split_clause,[],[f26934,f26489,f250,f28417]) ).
fof(f28417,plain,
( spl0_1061
<=> ! [X0] : cons(skaf74(X0),sk4) = app(cons(skaf74(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).
fof(f26489,plain,
( spl0_952
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).
fof(f26934,plain,
( ! [X0] : cons(skaf74(X0),sk4) = app(cons(skaf74(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_952 ),
inference(resolution,[],[f26490,f252]) ).
fof(f26490,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) )
| ~ spl0_952 ),
inference(avatar_component_clause,[],[f26489]) ).
fof(f28397,plain,
( spl0_1060
| ~ spl0_1
| ~ spl0_952 ),
inference(avatar_split_clause,[],[f26933,f26489,f245,f28395]) ).
fof(f28395,plain,
( spl0_1060
<=> ! [X0] : cons(skaf74(X0),sk3) = app(cons(skaf74(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).
fof(f26933,plain,
( ! [X0] : cons(skaf74(X0),sk3) = app(cons(skaf74(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_952 ),
inference(resolution,[],[f26490,f247]) ).
fof(f28393,plain,
( spl0_1059
| ~ spl0_2
| ~ spl0_951 ),
inference(avatar_split_clause,[],[f26685,f26485,f250,f28391]) ).
fof(f28391,plain,
( spl0_1059
<=> ! [X0] : cons(skaf78(X0),sk4) = app(cons(skaf78(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).
fof(f26485,plain,
( spl0_951
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).
fof(f26685,plain,
( ! [X0] : cons(skaf78(X0),sk4) = app(cons(skaf78(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_951 ),
inference(resolution,[],[f26486,f252]) ).
fof(f26486,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) )
| ~ spl0_951 ),
inference(avatar_component_clause,[],[f26485]) ).
fof(f28389,plain,
( spl0_1058
| ~ spl0_1
| ~ spl0_951 ),
inference(avatar_split_clause,[],[f26684,f26485,f245,f28387]) ).
fof(f28387,plain,
( spl0_1058
<=> ! [X0] : cons(skaf78(X0),sk3) = app(cons(skaf78(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).
fof(f26684,plain,
( ! [X0] : cons(skaf78(X0),sk3) = app(cons(skaf78(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_951 ),
inference(resolution,[],[f26486,f247]) ).
fof(f28385,plain,
( spl0_1057
| ~ spl0_2
| ~ spl0_950 ),
inference(avatar_split_clause,[],[f26650,f26481,f250,f28383]) ).
fof(f28383,plain,
( spl0_1057
<=> ! [X0] : cons(skaf79(X0),sk4) = app(cons(skaf79(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).
fof(f26481,plain,
( spl0_950
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).
fof(f26650,plain,
( ! [X0] : cons(skaf79(X0),sk4) = app(cons(skaf79(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_950 ),
inference(resolution,[],[f26482,f252]) ).
fof(f26482,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) )
| ~ spl0_950 ),
inference(avatar_component_clause,[],[f26481]) ).
fof(f28381,plain,
( spl0_1056
| ~ spl0_1
| ~ spl0_950 ),
inference(avatar_split_clause,[],[f26649,f26481,f245,f28379]) ).
fof(f28379,plain,
( spl0_1056
<=> ! [X0] : cons(skaf79(X0),sk3) = app(cons(skaf79(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).
fof(f26649,plain,
( ! [X0] : cons(skaf79(X0),sk3) = app(cons(skaf79(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_950 ),
inference(resolution,[],[f26482,f247]) ).
fof(f28377,plain,
( spl0_1055
| ~ spl0_2
| ~ spl0_949 ),
inference(avatar_split_clause,[],[f26615,f26477,f250,f28375]) ).
fof(f28375,plain,
( spl0_1055
<=> ! [X0] : cons(skaf83(X0),sk4) = app(cons(skaf83(X0),nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).
fof(f26477,plain,
( spl0_949
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).
fof(f26615,plain,
( ! [X0] : cons(skaf83(X0),sk4) = app(cons(skaf83(X0),nil),sk4)
| ~ spl0_2
| ~ spl0_949 ),
inference(resolution,[],[f26478,f252]) ).
fof(f26478,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) )
| ~ spl0_949 ),
inference(avatar_component_clause,[],[f26477]) ).
fof(f28373,plain,
( spl0_1054
| ~ spl0_1
| ~ spl0_949 ),
inference(avatar_split_clause,[],[f26614,f26477,f245,f28371]) ).
fof(f28371,plain,
( spl0_1054
<=> ! [X0] : cons(skaf83(X0),sk3) = app(cons(skaf83(X0),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).
fof(f26614,plain,
( ! [X0] : cons(skaf83(X0),sk3) = app(cons(skaf83(X0),nil),sk3)
| ~ spl0_1
| ~ spl0_949 ),
inference(resolution,[],[f26478,f247]) ).
fof(f28369,plain,
( spl0_1053
| ~ spl0_5
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f26580,f6264,f264,f28367]) ).
fof(f28367,plain,
( spl0_1053
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).
fof(f6264,plain,
( spl0_358
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f26580,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,X0),nil) )
| ~ spl0_5
| ~ spl0_358 ),
inference(resolution,[],[f6265,f266]) ).
fof(f266,plain,
( ssItem(sk6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f6265,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,X0),nil) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f6264]) ).
fof(f28365,plain,
( spl0_1052
| ~ spl0_5
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f26560,f6257,f264,f28363]) ).
fof(f28363,plain,
( spl0_1052
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(nil,cons(sk6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).
fof(f6257,plain,
( spl0_357
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f26560,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(nil,cons(sk6,X0)) )
| ~ spl0_5
| ~ spl0_357 ),
inference(resolution,[],[f6258,f266]) ).
fof(f6258,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(nil,cons(X1,X0)) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f6257]) ).
fof(f28361,plain,
( spl0_1051
| ~ spl0_2
| ~ spl0_203
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f9802,f8901,f1790,f250,f28359]) ).
fof(f28359,plain,
( spl0_1051
<=> ! [X0] :
( app(sk4,X0) = app(nil,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).
fof(f8901,plain,
( spl0_429
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(nil,X1),X0) = app(nil,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f9802,plain,
( ! [X0] :
( app(sk4,X0) = app(nil,app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_2
| ~ spl0_203
| ~ spl0_429 ),
inference(forward_demodulation,[],[f9772,f1792]) ).
fof(f9772,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(nil,sk4),X0) = app(nil,app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_429 ),
inference(resolution,[],[f8902,f252]) ).
fof(f8902,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(nil,X1),X0) = app(nil,app(X1,X0)) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f8901]) ).
fof(f28357,plain,
( spl0_1050
| ~ spl0_317
| ~ spl0_560
| ~ spl0_985 ),
inference(avatar_split_clause,[],[f27878,f27776,f13909,f4519,f28354]) ).
fof(f28354,plain,
( spl0_1050
<=> nil = skaf45(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).
fof(f13909,plain,
( spl0_560
<=> sk3 = app(sk3,skaf45(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f27776,plain,
( spl0_985
<=> ! [X0,X1] : skaf45(X0,X1) = tl(app(sk3,skaf45(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).
fof(f27878,plain,
( nil = skaf45(sk3,sk3)
| ~ spl0_317
| ~ spl0_560
| ~ spl0_985 ),
inference(forward_demodulation,[],[f27869,f4521]) ).
fof(f27869,plain,
( tl(sk3) = skaf45(sk3,sk3)
| ~ spl0_560
| ~ spl0_985 ),
inference(superposition,[],[f27777,f13911]) ).
fof(f13911,plain,
( sk3 = app(sk3,skaf45(sk3,sk3))
| ~ spl0_560 ),
inference(avatar_component_clause,[],[f13909]) ).
fof(f27777,plain,
( ! [X0,X1] : skaf45(X0,X1) = tl(app(sk3,skaf45(X0,X1)))
| ~ spl0_985 ),
inference(avatar_component_clause,[],[f27776]) ).
fof(f28352,plain,
( spl0_1049
| ~ spl0_1
| ~ spl0_197
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f9801,f8901,f1691,f245,f28350]) ).
fof(f28350,plain,
( spl0_1049
<=> ! [X0] :
( app(sk3,X0) = app(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).
fof(f9801,plain,
( ! [X0] :
( app(sk3,X0) = app(nil,app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_197
| ~ spl0_429 ),
inference(forward_demodulation,[],[f9771,f1693]) ).
fof(f9771,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(nil,sk3),X0) = app(nil,app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_429 ),
inference(resolution,[],[f8902,f247]) ).
fof(f28348,plain,
( spl0_1048
| ~ spl0_2
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f6408,f6268,f250,f28345]) ).
fof(f28345,plain,
( spl0_1048
<=> sk4 = app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).
fof(f6268,plain,
( spl0_359
<=> ! [X0] :
( ~ ssList(X0)
| app(app(skaf47(X0,X0),X0),skaf48(X0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f6408,plain,
( sk4 = app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4))
| ~ spl0_2
| ~ spl0_359 ),
inference(resolution,[],[f6269,f252]) ).
fof(f6269,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(skaf47(X0,X0),X0),skaf48(X0,X0)) = X0 )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f6268]) ).
fof(f28343,plain,
( spl0_1047
| ~ spl0_1
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f6407,f6268,f245,f28340]) ).
fof(f28340,plain,
( spl0_1047
<=> sk3 = app(app(skaf47(sk3,sk3),sk3),skaf48(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).
fof(f6407,plain,
( sk3 = app(app(skaf47(sk3,sk3),sk3),skaf48(sk3,sk3))
| ~ spl0_1
| ~ spl0_359 ),
inference(resolution,[],[f6269,f247]) ).
fof(f28338,plain,
( spl0_1046
| ~ spl0_2
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f6373,f6253,f250,f28336]) ).
fof(f28336,plain,
( spl0_1046
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = app(app(X0,sk4),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).
fof(f6253,plain,
( spl0_356
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f6373,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = app(app(X0,sk4),nil) )
| ~ spl0_2
| ~ spl0_356 ),
inference(resolution,[],[f6254,f252]) ).
fof(f6254,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(app(X0,X1),nil) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f6253]) ).
fof(f28334,plain,
( spl0_1045
| ~ spl0_1
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f6372,f6253,f245,f28332]) ).
fof(f28332,plain,
( spl0_1045
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,sk3) = app(app(X0,sk3),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).
fof(f6372,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk3) = app(app(X0,sk3),nil) )
| ~ spl0_1
| ~ spl0_356 ),
inference(resolution,[],[f6254,f247]) ).
fof(f28330,plain,
( spl0_1044
| ~ spl0_2
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f6340,f6249,f250,f28328]) ).
fof(f28328,plain,
( spl0_1044
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = app(nil,app(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).
fof(f6249,plain,
( spl0_355
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f6340,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = app(nil,app(X0,sk4)) )
| ~ spl0_2
| ~ spl0_355 ),
inference(resolution,[],[f6250,f252]) ).
fof(f6250,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f6249]) ).
fof(f28326,plain,
( spl0_1043
| ~ spl0_1
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f6339,f6249,f245,f28324]) ).
fof(f28324,plain,
( spl0_1043
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,sk3) = app(nil,app(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).
fof(f6339,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk3) = app(nil,app(X0,sk3)) )
| ~ spl0_1
| ~ spl0_355 ),
inference(resolution,[],[f6250,f247]) ).
fof(f28322,plain,
( spl0_1042
| ~ spl0_64
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4550,f4515,f521,f28320]) ).
fof(f28320,plain,
( spl0_1042
<=> ! [X0,X1] : app(sk3,skaf42(X0,X1)) = cons(sk6,skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).
fof(f4550,plain,
( ! [X0,X1] : app(sk3,skaf42(X0,X1)) = cons(sk6,skaf42(X0,X1))
| ~ spl0_64
| ~ spl0_316 ),
inference(resolution,[],[f4516,f522]) ).
fof(f28318,plain,
( spl0_1041
| ~ spl0_63
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4549,f4515,f517,f28316]) ).
fof(f28316,plain,
( spl0_1041
<=> ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk6,skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).
fof(f28314,plain,
( spl0_1040
| ~ spl0_62
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4548,f4515,f513,f28312]) ).
fof(f28312,plain,
( spl0_1040
<=> ! [X0,X1] : app(sk3,skaf45(X0,X1)) = cons(sk6,skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).
fof(f4548,plain,
( ! [X0,X1] : app(sk3,skaf45(X0,X1)) = cons(sk6,skaf45(X0,X1))
| ~ spl0_62
| ~ spl0_316 ),
inference(resolution,[],[f4516,f514]) ).
fof(f28306,plain,
( spl0_1039
| ~ spl0_61
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4547,f4515,f509,f28304]) ).
fof(f28304,plain,
( spl0_1039
<=> ! [X0,X1] : app(sk3,skaf46(X0,X1)) = cons(sk6,skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).
fof(f4547,plain,
( ! [X0,X1] : app(sk3,skaf46(X0,X1)) = cons(sk6,skaf46(X0,X1))
| ~ spl0_61
| ~ spl0_316 ),
inference(resolution,[],[f4516,f510]) ).
fof(f28302,plain,
( spl0_1038
| ~ spl0_60
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4546,f4515,f505,f28300]) ).
fof(f28300,plain,
( spl0_1038
<=> ! [X0,X1] : app(sk3,skaf47(X0,X1)) = cons(sk6,skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).
fof(f4546,plain,
( ! [X0,X1] : app(sk3,skaf47(X0,X1)) = cons(sk6,skaf47(X0,X1))
| ~ spl0_60
| ~ spl0_316 ),
inference(resolution,[],[f4516,f506]) ).
fof(f28298,plain,
( spl0_1037
| ~ spl0_59
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4545,f4515,f501,f28296]) ).
fof(f28296,plain,
( spl0_1037
<=> ! [X0,X1] : app(sk3,skaf48(X0,X1)) = cons(sk6,skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).
fof(f4545,plain,
( ! [X0,X1] : app(sk3,skaf48(X0,X1)) = cons(sk6,skaf48(X0,X1))
| ~ spl0_59
| ~ spl0_316 ),
inference(resolution,[],[f4516,f502]) ).
fof(f28294,plain,
( spl0_1036
| ~ spl0_17
| ~ spl0_190
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2844,f2525,f1530,f327,f28292]) ).
fof(f28292,plain,
( spl0_1036
<=> ! [X0] :
( app(sk4,X0) = app(sk4,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).
fof(f2844,plain,
( ! [X0] :
( app(sk4,X0) = app(sk4,app(nil,X0))
| ~ ssList(X0) )
| ~ spl0_17
| ~ spl0_190
| ~ spl0_228 ),
inference(forward_demodulation,[],[f2811,f1532]) ).
fof(f2811,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk4,nil),X0) = app(sk4,app(nil,X0)) )
| ~ spl0_17
| ~ spl0_228 ),
inference(resolution,[],[f2526,f329]) ).
fof(f329,plain,
( ssList(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f28290,plain,
( spl0_1035
| ~ spl0_17
| ~ spl0_187
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2810,f2521,f1471,f327,f28288]) ).
fof(f28288,plain,
( spl0_1035
<=> ! [X0] :
( app(sk3,X0) = app(sk3,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).
fof(f2810,plain,
( ! [X0] :
( app(sk3,X0) = app(sk3,app(nil,X0))
| ~ ssList(X0) )
| ~ spl0_17
| ~ spl0_187
| ~ spl0_227 ),
inference(forward_demodulation,[],[f2777,f1473]) ).
fof(f2777,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sk3,nil),X0) = app(sk3,app(nil,X0)) )
| ~ spl0_17
| ~ spl0_227 ),
inference(resolution,[],[f2522,f329]) ).
fof(f28286,plain,
( spl0_1034
| ~ spl0_53
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2487,f2377,f475,f28284]) ).
fof(f28284,plain,
( spl0_1034
<=> ! [X0] : tl(app(sk4,skaf51(X0))) = app(tl(sk4),skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).
fof(f2487,plain,
( ! [X0] : tl(app(sk4,skaf51(X0))) = app(tl(sk4),skaf51(X0))
| ~ spl0_53
| ~ spl0_220 ),
inference(resolution,[],[f2378,f476]) ).
fof(f28282,plain,
( spl0_1033
| ~ spl0_52
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2486,f2377,f471,f28280]) ).
fof(f28280,plain,
( spl0_1033
<=> ! [X0] : tl(app(sk4,skaf52(X0))) = app(tl(sk4),skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).
fof(f2486,plain,
( ! [X0] : tl(app(sk4,skaf52(X0))) = app(tl(sk4),skaf52(X0))
| ~ spl0_52
| ~ spl0_220 ),
inference(resolution,[],[f2378,f472]) ).
fof(f28278,plain,
( spl0_1032
| ~ spl0_51
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2485,f2377,f467,f28276]) ).
fof(f28276,plain,
( spl0_1032
<=> ! [X0] : tl(app(sk4,skaf53(X0))) = app(tl(sk4),skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).
fof(f2485,plain,
( ! [X0] : tl(app(sk4,skaf53(X0))) = app(tl(sk4),skaf53(X0))
| ~ spl0_51
| ~ spl0_220 ),
inference(resolution,[],[f2378,f468]) ).
fof(f28274,plain,
( spl0_1031
| ~ spl0_48
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2484,f2377,f455,f28272]) ).
fof(f28272,plain,
( spl0_1031
<=> ! [X0] : tl(app(sk4,skaf56(X0))) = app(tl(sk4),skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).
fof(f2484,plain,
( ! [X0] : tl(app(sk4,skaf56(X0))) = app(tl(sk4),skaf56(X0))
| ~ spl0_48
| ~ spl0_220 ),
inference(resolution,[],[f2378,f456]) ).
fof(f28270,plain,
( spl0_1030
| ~ spl0_47
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2483,f2377,f451,f28268]) ).
fof(f28268,plain,
( spl0_1030
<=> ! [X0] : tl(app(sk4,skaf57(X0))) = app(tl(sk4),skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).
fof(f2483,plain,
( ! [X0] : tl(app(sk4,skaf57(X0))) = app(tl(sk4),skaf57(X0))
| ~ spl0_47
| ~ spl0_220 ),
inference(resolution,[],[f2378,f452]) ).
fof(f28266,plain,
( ~ spl0_2
| spl0_1029
| ~ spl0_73
| ~ spl0_990 ),
inference(avatar_split_clause,[],[f27850,f27845,f558,f28263,f250]) ).
fof(f558,plain,
( spl0_73
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f27845,plain,
( spl0_990
<=> ! [X0] :
( ~ frontsegP(sk4,X0)
| frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).
fof(f27850,plain,
( frontsegP(nil,sk4)
| ~ ssList(sk4)
| ~ spl0_73
| ~ spl0_990 ),
inference(duplicate_literal_removal,[],[f27849]) ).
fof(f27849,plain,
( frontsegP(nil,sk4)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ spl0_73
| ~ spl0_990 ),
inference(resolution,[],[f27846,f559]) ).
fof(f559,plain,
( ! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f27846,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl0_990 ),
inference(avatar_component_clause,[],[f27845]) ).
fof(f28261,plain,
( spl0_1028
| ~ spl0_46
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2482,f2377,f447,f28259]) ).
fof(f28259,plain,
( spl0_1028
<=> ! [X0] : tl(app(sk4,skaf58(X0))) = app(tl(sk4),skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).
fof(f2482,plain,
( ! [X0] : tl(app(sk4,skaf58(X0))) = app(tl(sk4),skaf58(X0))
| ~ spl0_46
| ~ spl0_220 ),
inference(resolution,[],[f2378,f448]) ).
fof(f28257,plain,
( spl0_1027
| ~ spl0_43
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2481,f2377,f435,f28255]) ).
fof(f28255,plain,
( spl0_1027
<=> ! [X0] : tl(app(sk4,skaf61(X0))) = app(tl(sk4),skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).
fof(f2481,plain,
( ! [X0] : tl(app(sk4,skaf61(X0))) = app(tl(sk4),skaf61(X0))
| ~ spl0_43
| ~ spl0_220 ),
inference(resolution,[],[f2378,f436]) ).
fof(f28253,plain,
( spl0_1026
| ~ spl0_42
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2480,f2377,f431,f28251]) ).
fof(f28251,plain,
( spl0_1026
<=> ! [X0] : tl(app(sk4,skaf62(X0))) = app(tl(sk4),skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).
fof(f2480,plain,
( ! [X0] : tl(app(sk4,skaf62(X0))) = app(tl(sk4),skaf62(X0))
| ~ spl0_42
| ~ spl0_220 ),
inference(resolution,[],[f2378,f432]) ).
fof(f28249,plain,
( spl0_1025
| ~ spl0_41
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2479,f2377,f427,f28247]) ).
fof(f28247,plain,
( spl0_1025
<=> ! [X0] : tl(app(sk4,skaf63(X0))) = app(tl(sk4),skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).
fof(f2479,plain,
( ! [X0] : tl(app(sk4,skaf63(X0))) = app(tl(sk4),skaf63(X0))
| ~ spl0_41
| ~ spl0_220 ),
inference(resolution,[],[f2378,f428]) ).
fof(f28245,plain,
( spl0_1024
| ~ spl0_38
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2478,f2377,f415,f28243]) ).
fof(f28243,plain,
( spl0_1024
<=> ! [X0] : tl(app(sk4,skaf66(X0))) = app(tl(sk4),skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).
fof(f2478,plain,
( ! [X0] : tl(app(sk4,skaf66(X0))) = app(tl(sk4),skaf66(X0))
| ~ spl0_38
| ~ spl0_220 ),
inference(resolution,[],[f2378,f416]) ).
fof(f28241,plain,
( spl0_1023
| ~ spl0_37
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2477,f2377,f411,f28239]) ).
fof(f28239,plain,
( spl0_1023
<=> ! [X0] : tl(app(sk4,skaf67(X0))) = app(tl(sk4),skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).
fof(f2477,plain,
( ! [X0] : tl(app(sk4,skaf67(X0))) = app(tl(sk4),skaf67(X0))
| ~ spl0_37
| ~ spl0_220 ),
inference(resolution,[],[f2378,f412]) ).
fof(f28237,plain,
( spl0_1022
| ~ spl0_36
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2476,f2377,f407,f28235]) ).
fof(f28235,plain,
( spl0_1022
<=> ! [X0] : tl(app(sk4,skaf68(X0))) = app(tl(sk4),skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).
fof(f2476,plain,
( ! [X0] : tl(app(sk4,skaf68(X0))) = app(tl(sk4),skaf68(X0))
| ~ spl0_36
| ~ spl0_220 ),
inference(resolution,[],[f2378,f408]) ).
fof(f28233,plain,
( spl0_1021
| ~ spl0_33
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2475,f2377,f395,f28231]) ).
fof(f28231,plain,
( spl0_1021
<=> ! [X0] : tl(app(sk4,skaf71(X0))) = app(tl(sk4),skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).
fof(f2475,plain,
( ! [X0] : tl(app(sk4,skaf71(X0))) = app(tl(sk4),skaf71(X0))
| ~ spl0_33
| ~ spl0_220 ),
inference(resolution,[],[f2378,f396]) ).
fof(f28218,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_312
| spl0_866 ),
inference(avatar_split_clause,[],[f21075,f21025,f4350,f260,f250]) ).
fof(f4350,plain,
( spl0_312
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f21075,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ spl0_312
| spl0_866 ),
inference(resolution,[],[f4351,f21027]) ).
fof(f21027,plain,
( ~ ssItem(hd(sk4))
| spl0_866 ),
inference(avatar_component_clause,[],[f21025]) ).
fof(f4351,plain,
( ! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f4350]) ).
fof(f28217,plain,
( spl0_1020
| ~ spl0_32
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2474,f2377,f391,f28215]) ).
fof(f28215,plain,
( spl0_1020
<=> ! [X0] : tl(app(sk4,skaf72(X0))) = app(tl(sk4),skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).
fof(f2474,plain,
( ! [X0] : tl(app(sk4,skaf72(X0))) = app(tl(sk4),skaf72(X0))
| ~ spl0_32
| ~ spl0_220 ),
inference(resolution,[],[f2378,f392]) ).
fof(f28213,plain,
( spl0_1019
| ~ spl0_31
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2473,f2377,f387,f28211]) ).
fof(f28211,plain,
( spl0_1019
<=> ! [X0] : tl(app(sk4,skaf73(X0))) = app(tl(sk4),skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).
fof(f2473,plain,
( ! [X0] : tl(app(sk4,skaf73(X0))) = app(tl(sk4),skaf73(X0))
| ~ spl0_31
| ~ spl0_220 ),
inference(resolution,[],[f2378,f388]) ).
fof(f28209,plain,
( spl0_1018
| ~ spl0_29
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2472,f2377,f379,f28207]) ).
fof(f28207,plain,
( spl0_1018
<=> ! [X0] : tl(app(sk4,skaf75(X0))) = app(tl(sk4),skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).
fof(f2472,plain,
( ! [X0] : tl(app(sk4,skaf75(X0))) = app(tl(sk4),skaf75(X0))
| ~ spl0_29
| ~ spl0_220 ),
inference(resolution,[],[f2378,f380]) ).
fof(f28205,plain,
( spl0_1017
| ~ spl0_28
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2471,f2377,f375,f28203]) ).
fof(f28203,plain,
( spl0_1017
<=> ! [X0] : tl(app(sk4,skaf76(X0))) = app(tl(sk4),skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).
fof(f2471,plain,
( ! [X0] : tl(app(sk4,skaf76(X0))) = app(tl(sk4),skaf76(X0))
| ~ spl0_28
| ~ spl0_220 ),
inference(resolution,[],[f2378,f376]) ).
fof(f28201,plain,
( spl0_1016
| ~ spl0_27
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2470,f2377,f371,f28199]) ).
fof(f28199,plain,
( spl0_1016
<=> ! [X0] : tl(app(sk4,skaf77(X0))) = app(tl(sk4),skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).
fof(f2470,plain,
( ! [X0] : tl(app(sk4,skaf77(X0))) = app(tl(sk4),skaf77(X0))
| ~ spl0_27
| ~ spl0_220 ),
inference(resolution,[],[f2378,f372]) ).
fof(f28197,plain,
( spl0_1015
| ~ spl0_24
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2469,f2377,f359,f28195]) ).
fof(f28195,plain,
( spl0_1015
<=> ! [X0] : tl(app(sk4,skaf80(X0))) = app(tl(sk4),skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).
fof(f2469,plain,
( ! [X0] : tl(app(sk4,skaf80(X0))) = app(tl(sk4),skaf80(X0))
| ~ spl0_24
| ~ spl0_220 ),
inference(resolution,[],[f2378,f360]) ).
fof(f28193,plain,
( spl0_1014
| ~ spl0_23
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2468,f2377,f355,f28191]) ).
fof(f28191,plain,
( spl0_1014
<=> ! [X0] : tl(app(sk4,skaf81(X0))) = app(tl(sk4),skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).
fof(f2468,plain,
( ! [X0] : tl(app(sk4,skaf81(X0))) = app(tl(sk4),skaf81(X0))
| ~ spl0_23
| ~ spl0_220 ),
inference(resolution,[],[f2378,f356]) ).
fof(f28189,plain,
( spl0_1013
| ~ spl0_22
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2467,f2377,f351,f28187]) ).
fof(f28187,plain,
( spl0_1013
<=> ! [X0] : tl(app(sk4,skaf82(X0))) = app(tl(sk4),skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).
fof(f2467,plain,
( ! [X0] : tl(app(sk4,skaf82(X0))) = app(tl(sk4),skaf82(X0))
| ~ spl0_22
| ~ spl0_220 ),
inference(resolution,[],[f2378,f352]) ).
fof(f28183,plain,
( spl0_1012
| ~ spl0_53
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2358,f2334,f475,f28181]) ).
fof(f28181,plain,
( spl0_1012
<=> ! [X0] : tl(app(sk3,skaf51(X0))) = app(tl(sk3),skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).
fof(f2358,plain,
( ! [X0] : tl(app(sk3,skaf51(X0))) = app(tl(sk3),skaf51(X0))
| ~ spl0_53
| ~ spl0_218 ),
inference(resolution,[],[f2335,f476]) ).
fof(f28177,plain,
( spl0_1011
| ~ spl0_52
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2357,f2334,f471,f28175]) ).
fof(f28175,plain,
( spl0_1011
<=> ! [X0] : tl(app(sk3,skaf52(X0))) = app(tl(sk3),skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).
fof(f2357,plain,
( ! [X0] : tl(app(sk3,skaf52(X0))) = app(tl(sk3),skaf52(X0))
| ~ spl0_52
| ~ spl0_218 ),
inference(resolution,[],[f2335,f472]) ).
fof(f28171,plain,
( spl0_1010
| ~ spl0_51
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2356,f2334,f467,f28169]) ).
fof(f28169,plain,
( spl0_1010
<=> ! [X0] : tl(app(sk3,skaf53(X0))) = app(tl(sk3),skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).
fof(f2356,plain,
( ! [X0] : tl(app(sk3,skaf53(X0))) = app(tl(sk3),skaf53(X0))
| ~ spl0_51
| ~ spl0_218 ),
inference(resolution,[],[f2335,f468]) ).
fof(f28165,plain,
( spl0_1009
| ~ spl0_48
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2355,f2334,f455,f28163]) ).
fof(f28163,plain,
( spl0_1009
<=> ! [X0] : tl(app(sk3,skaf56(X0))) = app(tl(sk3),skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).
fof(f2355,plain,
( ! [X0] : tl(app(sk3,skaf56(X0))) = app(tl(sk3),skaf56(X0))
| ~ spl0_48
| ~ spl0_218 ),
inference(resolution,[],[f2335,f456]) ).
fof(f28159,plain,
( spl0_1008
| ~ spl0_47
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2354,f2334,f451,f28157]) ).
fof(f28157,plain,
( spl0_1008
<=> ! [X0] : tl(app(sk3,skaf57(X0))) = app(tl(sk3),skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).
fof(f2354,plain,
( ! [X0] : tl(app(sk3,skaf57(X0))) = app(tl(sk3),skaf57(X0))
| ~ spl0_47
| ~ spl0_218 ),
inference(resolution,[],[f2335,f452]) ).
fof(f28153,plain,
( spl0_1007
| ~ spl0_46
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2353,f2334,f447,f28151]) ).
fof(f28151,plain,
( spl0_1007
<=> ! [X0] : tl(app(sk3,skaf58(X0))) = app(tl(sk3),skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).
fof(f2353,plain,
( ! [X0] : tl(app(sk3,skaf58(X0))) = app(tl(sk3),skaf58(X0))
| ~ spl0_46
| ~ spl0_218 ),
inference(resolution,[],[f2335,f448]) ).
fof(f28147,plain,
( spl0_1006
| ~ spl0_43
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2352,f2334,f435,f28145]) ).
fof(f28145,plain,
( spl0_1006
<=> ! [X0] : tl(app(sk3,skaf61(X0))) = app(tl(sk3),skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).
fof(f2352,plain,
( ! [X0] : tl(app(sk3,skaf61(X0))) = app(tl(sk3),skaf61(X0))
| ~ spl0_43
| ~ spl0_218 ),
inference(resolution,[],[f2335,f436]) ).
fof(f28141,plain,
( spl0_1005
| ~ spl0_42
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2351,f2334,f431,f28139]) ).
fof(f28139,plain,
( spl0_1005
<=> ! [X0] : tl(app(sk3,skaf62(X0))) = app(tl(sk3),skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).
fof(f2351,plain,
( ! [X0] : tl(app(sk3,skaf62(X0))) = app(tl(sk3),skaf62(X0))
| ~ spl0_42
| ~ spl0_218 ),
inference(resolution,[],[f2335,f432]) ).
fof(f28135,plain,
( spl0_1004
| ~ spl0_41
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2350,f2334,f427,f28133]) ).
fof(f28133,plain,
( spl0_1004
<=> ! [X0] : tl(app(sk3,skaf63(X0))) = app(tl(sk3),skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).
fof(f2350,plain,
( ! [X0] : tl(app(sk3,skaf63(X0))) = app(tl(sk3),skaf63(X0))
| ~ spl0_41
| ~ spl0_218 ),
inference(resolution,[],[f2335,f428]) ).
fof(f28129,plain,
( spl0_1003
| ~ spl0_38
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2349,f2334,f415,f28127]) ).
fof(f28127,plain,
( spl0_1003
<=> ! [X0] : tl(app(sk3,skaf66(X0))) = app(tl(sk3),skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).
fof(f2349,plain,
( ! [X0] : tl(app(sk3,skaf66(X0))) = app(tl(sk3),skaf66(X0))
| ~ spl0_38
| ~ spl0_218 ),
inference(resolution,[],[f2335,f416]) ).
fof(f28123,plain,
( spl0_1002
| ~ spl0_37
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2348,f2334,f411,f28121]) ).
fof(f28121,plain,
( spl0_1002
<=> ! [X0] : tl(app(sk3,skaf67(X0))) = app(tl(sk3),skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).
fof(f2348,plain,
( ! [X0] : tl(app(sk3,skaf67(X0))) = app(tl(sk3),skaf67(X0))
| ~ spl0_37
| ~ spl0_218 ),
inference(resolution,[],[f2335,f412]) ).
fof(f28117,plain,
( spl0_1001
| ~ spl0_36
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2347,f2334,f407,f28115]) ).
fof(f28115,plain,
( spl0_1001
<=> ! [X0] : tl(app(sk3,skaf68(X0))) = app(tl(sk3),skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).
fof(f2347,plain,
( ! [X0] : tl(app(sk3,skaf68(X0))) = app(tl(sk3),skaf68(X0))
| ~ spl0_36
| ~ spl0_218 ),
inference(resolution,[],[f2335,f408]) ).
fof(f28113,plain,
( spl0_1000
| ~ spl0_95
| ~ spl0_975 ),
inference(avatar_split_clause,[],[f27913,f27693,f675,f28110]) ).
fof(f28110,plain,
( spl0_1000
<=> duplicatefreeP(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).
fof(f675,plain,
( spl0_95
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f27913,plain,
( duplicatefreeP(tl(sk4))
| ~ spl0_95
| ~ spl0_975 ),
inference(resolution,[],[f27694,f676]) ).
fof(f676,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f28106,plain,
( spl0_999
| ~ spl0_33
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2346,f2334,f395,f28104]) ).
fof(f28104,plain,
( spl0_999
<=> ! [X0] : tl(app(sk3,skaf71(X0))) = app(tl(sk3),skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).
fof(f2346,plain,
( ! [X0] : tl(app(sk3,skaf71(X0))) = app(tl(sk3),skaf71(X0))
| ~ spl0_33
| ~ spl0_218 ),
inference(resolution,[],[f2335,f396]) ).
fof(f28100,plain,
( spl0_998
| ~ spl0_32
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2345,f2334,f391,f28098]) ).
fof(f28098,plain,
( spl0_998
<=> ! [X0] : tl(app(sk3,skaf72(X0))) = app(tl(sk3),skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).
fof(f2345,plain,
( ! [X0] : tl(app(sk3,skaf72(X0))) = app(tl(sk3),skaf72(X0))
| ~ spl0_32
| ~ spl0_218 ),
inference(resolution,[],[f2335,f392]) ).
fof(f28094,plain,
( spl0_997
| ~ spl0_31
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2344,f2334,f387,f28092]) ).
fof(f28092,plain,
( spl0_997
<=> ! [X0] : tl(app(sk3,skaf73(X0))) = app(tl(sk3),skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).
fof(f2344,plain,
( ! [X0] : tl(app(sk3,skaf73(X0))) = app(tl(sk3),skaf73(X0))
| ~ spl0_31
| ~ spl0_218 ),
inference(resolution,[],[f2335,f388]) ).
fof(f28088,plain,
( spl0_996
| ~ spl0_29
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2343,f2334,f379,f28086]) ).
fof(f28086,plain,
( spl0_996
<=> ! [X0] : tl(app(sk3,skaf75(X0))) = app(tl(sk3),skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).
fof(f2343,plain,
( ! [X0] : tl(app(sk3,skaf75(X0))) = app(tl(sk3),skaf75(X0))
| ~ spl0_29
| ~ spl0_218 ),
inference(resolution,[],[f2335,f380]) ).
fof(f28082,plain,
( spl0_995
| ~ spl0_28
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2342,f2334,f375,f28080]) ).
fof(f28080,plain,
( spl0_995
<=> ! [X0] : tl(app(sk3,skaf76(X0))) = app(tl(sk3),skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).
fof(f2342,plain,
( ! [X0] : tl(app(sk3,skaf76(X0))) = app(tl(sk3),skaf76(X0))
| ~ spl0_28
| ~ spl0_218 ),
inference(resolution,[],[f2335,f376]) ).
fof(f28076,plain,
( spl0_994
| ~ spl0_27
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2341,f2334,f371,f28074]) ).
fof(f28074,plain,
( spl0_994
<=> ! [X0] : tl(app(sk3,skaf77(X0))) = app(tl(sk3),skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).
fof(f2341,plain,
( ! [X0] : tl(app(sk3,skaf77(X0))) = app(tl(sk3),skaf77(X0))
| ~ spl0_27
| ~ spl0_218 ),
inference(resolution,[],[f2335,f372]) ).
fof(f28070,plain,
( spl0_993
| ~ spl0_24
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2340,f2334,f359,f28068]) ).
fof(f28068,plain,
( spl0_993
<=> ! [X0] : tl(app(sk3,skaf80(X0))) = app(tl(sk3),skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).
fof(f2340,plain,
( ! [X0] : tl(app(sk3,skaf80(X0))) = app(tl(sk3),skaf80(X0))
| ~ spl0_24
| ~ spl0_218 ),
inference(resolution,[],[f2335,f360]) ).
fof(f28064,plain,
( spl0_992
| ~ spl0_23
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2339,f2334,f355,f28062]) ).
fof(f28062,plain,
( spl0_992
<=> ! [X0] : tl(app(sk3,skaf81(X0))) = app(tl(sk3),skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).
fof(f2339,plain,
( ! [X0] : tl(app(sk3,skaf81(X0))) = app(tl(sk3),skaf81(X0))
| ~ spl0_23
| ~ spl0_218 ),
inference(resolution,[],[f2335,f356]) ).
fof(f27911,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_99
| spl0_975 ),
inference(avatar_split_clause,[],[f27701,f27693,f759,f260,f250]) ).
fof(f27701,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ spl0_99
| spl0_975 ),
inference(resolution,[],[f27695,f760]) ).
fof(f27695,plain,
( ~ ssList(tl(sk4))
| spl0_975 ),
inference(avatar_component_clause,[],[f27693]) ).
fof(f27908,plain,
( spl0_991
| ~ spl0_22
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2338,f2334,f351,f27906]) ).
fof(f27906,plain,
( spl0_991
<=> ! [X0] : tl(app(sk3,skaf82(X0))) = app(tl(sk3),skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).
fof(f2338,plain,
( ! [X0] : tl(app(sk3,skaf82(X0))) = app(tl(sk3),skaf82(X0))
| ~ spl0_22
| ~ spl0_218 ),
inference(resolution,[],[f2335,f352]) ).
fof(f27847,plain,
( ~ spl0_5
| spl0_990
| ~ spl0_241
| ~ spl0_812 ),
inference(avatar_split_clause,[],[f19920,f19729,f2873,f27845,f264]) ).
fof(f19729,plain,
( spl0_812
<=> ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ frontsegP(sk4,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).
fof(f19920,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| frontsegP(nil,X0)
| ~ ssItem(sk6) )
| ~ spl0_241
| ~ spl0_812 ),
inference(duplicate_literal_removal,[],[f19910]) ).
fof(f19910,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl0_241
| ~ spl0_812 ),
inference(resolution,[],[f19730,f2874]) ).
fof(f19730,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ frontsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_812 ),
inference(avatar_component_clause,[],[f19729]) ).
fof(f27795,plain,
( spl0_989
| spl0_4
| ~ spl0_2
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f6213,f6174,f250,f260,f27792]) ).
fof(f6174,plain,
( spl0_353
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f6213,plain,
( nil = sk4
| tl(sk4) = app(nil,tl(sk4))
| ~ spl0_2
| ~ spl0_353 ),
inference(resolution,[],[f6175,f252]) ).
fof(f6175,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = app(nil,tl(X0)) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f6174]) ).
fof(f27790,plain,
( spl0_988
| ~ spl0_59
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4880,f4515,f4439,f501,f27788]) ).
fof(f27788,plain,
( spl0_988
<=> ! [X0,X1] : skaf48(X0,X1) = tl(app(sk3,skaf48(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).
fof(f4439,plain,
( spl0_314
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f4880,plain,
( ! [X0,X1] : skaf48(X0,X1) = tl(app(sk3,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4468,f4545]) ).
fof(f4468,plain,
( ! [X0,X1] : skaf48(X0,X1) = tl(cons(sk6,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_314 ),
inference(resolution,[],[f4440,f502]) ).
fof(f4440,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f4439]) ).
fof(f27786,plain,
( spl0_987
| ~ spl0_60
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4879,f4515,f4439,f505,f27784]) ).
fof(f27784,plain,
( spl0_987
<=> ! [X0,X1] : skaf47(X0,X1) = tl(app(sk3,skaf47(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).
fof(f4879,plain,
( ! [X0,X1] : skaf47(X0,X1) = tl(app(sk3,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4469,f4546]) ).
fof(f4469,plain,
( ! [X0,X1] : skaf47(X0,X1) = tl(cons(sk6,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_314 ),
inference(resolution,[],[f4440,f506]) ).
fof(f27782,plain,
( spl0_986
| ~ spl0_61
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4878,f4515,f4439,f509,f27780]) ).
fof(f27780,plain,
( spl0_986
<=> ! [X0,X1] : skaf46(X0,X1) = tl(app(sk3,skaf46(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).
fof(f4878,plain,
( ! [X0,X1] : skaf46(X0,X1) = tl(app(sk3,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4470,f4547]) ).
fof(f4470,plain,
( ! [X0,X1] : skaf46(X0,X1) = tl(cons(sk6,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_314 ),
inference(resolution,[],[f4440,f510]) ).
fof(f27778,plain,
( spl0_985
| ~ spl0_62
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4877,f4515,f4439,f513,f27776]) ).
fof(f4877,plain,
( ! [X0,X1] : skaf45(X0,X1) = tl(app(sk3,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4471,f4548]) ).
fof(f4471,plain,
( ! [X0,X1] : skaf45(X0,X1) = tl(cons(sk6,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_314 ),
inference(resolution,[],[f4440,f514]) ).
fof(f27774,plain,
( spl0_984
| ~ spl0_63
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4876,f4515,f4439,f517,f27772]) ).
fof(f27772,plain,
( spl0_984
<=> ! [X0,X1] : skaf43(X0,X1) = tl(app(sk3,skaf43(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).
fof(f4876,plain,
( ! [X0,X1] : skaf43(X0,X1) = tl(app(sk3,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4472,f4549]) ).
fof(f4472,plain,
( ! [X0,X1] : skaf43(X0,X1) = tl(cons(sk6,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_314 ),
inference(resolution,[],[f4440,f518]) ).
fof(f27770,plain,
( spl0_983
| ~ spl0_64
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4875,f4515,f4439,f521,f27768]) ).
fof(f27768,plain,
( spl0_983
<=> ! [X0,X1] : skaf42(X0,X1) = tl(app(sk3,skaf42(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).
fof(f4875,plain,
( ! [X0,X1] : skaf42(X0,X1) = tl(app(sk3,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4473,f4550]) ).
fof(f4473,plain,
( ! [X0,X1] : skaf42(X0,X1) = tl(cons(sk6,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_314 ),
inference(resolution,[],[f4440,f522]) ).
fof(f27743,plain,
( ~ spl0_977
| spl0_982
| ~ spl0_871
| ~ spl0_212
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2871,f2857,f2062,f21639,f27740,f27703]) ).
fof(f27740,plain,
( spl0_982
<=> nil = skaf82(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).
fof(f2857,plain,
( spl0_239
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2871,plain,
( ~ ssItem(skaf83(sk3))
| nil = skaf82(sk3)
| ~ ssList(skaf82(sk3))
| ~ spl0_212
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f2866]) ).
fof(f2866,plain,
( sk3 != sk3
| ~ ssItem(skaf83(sk3))
| nil = skaf82(sk3)
| ~ ssList(skaf82(sk3))
| ~ spl0_212
| ~ spl0_239 ),
inference(superposition,[],[f2858,f2064]) ).
fof(f2858,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f27735,plain,
( ~ spl0_56
| spl0_973 ),
inference(avatar_contradiction_clause,[],[f27734]) ).
fof(f27734,plain,
( $false
| ~ spl0_56
| spl0_973 ),
inference(resolution,[],[f27686,f488]) ).
fof(f488,plain,
( ! [X0] : ssItem(skaf44(X0))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f27686,plain,
( ~ ssItem(skaf44(sk3))
| spl0_973 ),
inference(avatar_component_clause,[],[f27684]) ).
fof(f27684,plain,
( spl0_973
<=> ssItem(skaf44(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).
fof(f27733,plain,
( ~ spl0_977
| spl0_981
| ~ spl0_871
| ~ spl0_212
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2855,f2846,f2062,f21639,f27730,f27703]) ).
fof(f2846,plain,
( spl0_238
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| sk6 = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2855,plain,
( ~ ssItem(skaf83(sk3))
| sk6 = skaf83(sk3)
| ~ ssList(skaf82(sk3))
| ~ spl0_212
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f2850]) ).
fof(f2850,plain,
( sk3 != sk3
| ~ ssItem(skaf83(sk3))
| sk6 = skaf83(sk3)
| ~ ssList(skaf82(sk3))
| ~ spl0_212
| ~ spl0_238 ),
inference(superposition,[],[f2847,f2064]) ).
fof(f2847,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| sk6 = X0
| ~ ssList(X1) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2846]) ).
fof(f27725,plain,
( ~ spl0_22
| spl0_979 ),
inference(avatar_contradiction_clause,[],[f27724]) ).
fof(f27724,plain,
( $false
| ~ spl0_22
| spl0_979 ),
inference(resolution,[],[f27718,f352]) ).
fof(f27718,plain,
( ~ ssList(skaf82(sk4))
| spl0_979 ),
inference(avatar_component_clause,[],[f27716]) ).
fof(f27723,plain,
( ~ spl0_877
| ~ spl0_979
| spl0_980
| ~ spl0_116
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2149,f2102,f847,f27720,f27716,f22079]) ).
fof(f847,plain,
( spl0_116
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2149,plain,
( memberP(sk4,skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssItem(skaf83(sk4))
| ~ spl0_116
| ~ spl0_213 ),
inference(superposition,[],[f848,f2104]) ).
fof(f848,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f27712,plain,
( ~ spl0_22
| spl0_977 ),
inference(avatar_contradiction_clause,[],[f27711]) ).
fof(f27711,plain,
( $false
| ~ spl0_22
| spl0_977 ),
inference(resolution,[],[f27705,f352]) ).
fof(f27705,plain,
( ~ ssList(skaf82(sk3))
| spl0_977 ),
inference(avatar_component_clause,[],[f27703]) ).
fof(f27710,plain,
( ~ spl0_871
| ~ spl0_977
| spl0_978
| ~ spl0_116
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2069,f2062,f847,f27707,f27703,f21639]) ).
fof(f27707,plain,
( spl0_978
<=> memberP(sk3,skaf83(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).
fof(f2069,plain,
( memberP(sk3,skaf83(sk3))
| ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3))
| ~ spl0_116
| ~ spl0_212 ),
inference(superposition,[],[f848,f2064]) ).
fof(f27700,plain,
( ~ spl0_866
| ~ spl0_975
| spl0_976
| ~ spl0_116
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2029,f1946,f847,f27697,f27693,f21025]) ).
fof(f2029,plain,
( memberP(sk4,hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ spl0_116
| ~ spl0_210 ),
inference(superposition,[],[f848,f1948]) ).
fof(f27691,plain,
( ~ spl0_973
| ~ spl0_17
| spl0_974
| ~ spl0_116
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f3970,f3771,f847,f27688,f327,f27684]) ).
fof(f27688,plain,
( spl0_974
<=> memberP(sk3,skaf44(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).
fof(f3970,plain,
( memberP(sk3,skaf44(sk3))
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ spl0_116
| ~ spl0_297 ),
inference(superposition,[],[f848,f3773]) ).
fof(f27678,plain,
( ~ spl0_5
| ~ spl0_320
| spl0_970 ),
inference(avatar_split_clause,[],[f27675,f27661,f4601,f264]) ).
fof(f27675,plain,
( ~ ssItem(sk6)
| ~ spl0_320
| spl0_970 ),
inference(forward_demodulation,[],[f27663,f4603]) ).
fof(f27663,plain,
( ~ ssItem(hd(sk3))
| spl0_970 ),
inference(avatar_component_clause,[],[f27661]) ).
fof(f27676,plain,
( ~ spl0_17
| ~ spl0_317
| spl0_971 ),
inference(avatar_split_clause,[],[f27674,f27665,f4519,f327]) ).
fof(f27674,plain,
( ~ ssList(nil)
| ~ spl0_317
| spl0_971 ),
inference(forward_demodulation,[],[f27667,f4521]) ).
fof(f27667,plain,
( ~ ssList(tl(sk3))
| spl0_971 ),
inference(avatar_component_clause,[],[f27665]) ).
fof(f27672,plain,
( ~ spl0_970
| ~ spl0_971
| spl0_972
| ~ spl0_116
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f1913,f1906,f847,f27669,f27665,f27661]) ).
fof(f27669,plain,
( spl0_972
<=> memberP(sk3,hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).
fof(f1913,plain,
( memberP(sk3,hd(sk3))
| ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ spl0_116
| ~ spl0_209 ),
inference(superposition,[],[f848,f1908]) ).
fof(f27487,plain,
( spl0_969
| ~ spl0_2
| ~ spl0_948 ),
inference(avatar_split_clause,[],[f26436,f26364,f250,f27484]) ).
fof(f27484,plain,
( spl0_969
<=> cons(skac2,sk4) = app(cons(skac2,nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).
fof(f26364,plain,
( spl0_948
<=> ! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).
fof(f26436,plain,
( cons(skac2,sk4) = app(cons(skac2,nil),sk4)
| ~ spl0_2
| ~ spl0_948 ),
inference(resolution,[],[f26365,f252]) ).
fof(f26365,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) )
| ~ spl0_948 ),
inference(avatar_component_clause,[],[f26364]) ).
fof(f27482,plain,
( spl0_968
| ~ spl0_1
| ~ spl0_948 ),
inference(avatar_split_clause,[],[f26435,f26364,f245,f27479]) ).
fof(f27479,plain,
( spl0_968
<=> cons(skac2,sk3) = app(cons(skac2,nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).
fof(f26435,plain,
( cons(skac2,sk3) = app(cons(skac2,nil),sk3)
| ~ spl0_1
| ~ spl0_948 ),
inference(resolution,[],[f26365,f247]) ).
fof(f27477,plain,
( spl0_967
| ~ spl0_2
| ~ spl0_947 ),
inference(avatar_split_clause,[],[f26401,f26360,f250,f27474]) ).
fof(f27474,plain,
( spl0_967
<=> cons(skac3,sk4) = app(cons(skac3,nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).
fof(f26360,plain,
( spl0_947
<=> ! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).
fof(f26401,plain,
( cons(skac3,sk4) = app(cons(skac3,nil),sk4)
| ~ spl0_2
| ~ spl0_947 ),
inference(resolution,[],[f26361,f252]) ).
fof(f26361,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) )
| ~ spl0_947 ),
inference(avatar_component_clause,[],[f26360]) ).
fof(f27472,plain,
( spl0_966
| ~ spl0_1
| ~ spl0_947 ),
inference(avatar_split_clause,[],[f26400,f26360,f245,f27469]) ).
fof(f27469,plain,
( spl0_966
<=> cons(skac3,sk3) = app(cons(skac3,nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).
fof(f26400,plain,
( cons(skac3,sk3) = app(cons(skac3,nil),sk3)
| ~ spl0_1
| ~ spl0_947 ),
inference(resolution,[],[f26361,f247]) ).
fof(f27324,plain,
( spl0_965
| ~ spl0_136
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f4416,f4350,f1017,f27322]) ).
fof(f27322,plain,
( spl0_965
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).
fof(f1017,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f4416,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_136
| ~ spl0_312 ),
inference(resolution,[],[f1018,f4351]) ).
fof(f1018,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f27250,plain,
( spl0_930
| ~ spl0_330
| ~ spl0_382
| ~ spl0_959 ),
inference(avatar_split_clause,[],[f26761,f26517,f6501,f5227,f25895]) ).
fof(f5227,plain,
( spl0_330
<=> ! [X0] : hd(cons(X0,sk4)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f6501,plain,
( spl0_382
<=> sk6 = hd(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f26761,plain,
( sk6 = skaf44(sk3)
| ~ spl0_330
| ~ spl0_382
| ~ spl0_959 ),
inference(forward_demodulation,[],[f26688,f6503]) ).
fof(f6503,plain,
( sk6 = hd(app(sk3,sk4))
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f6501]) ).
fof(f26688,plain,
( skaf44(sk3) = hd(app(sk3,sk4))
| ~ spl0_330
| ~ spl0_959 ),
inference(superposition,[],[f5228,f26519]) ).
fof(f26519,plain,
( app(sk3,sk4) = cons(skaf44(sk3),sk4)
| ~ spl0_959 ),
inference(avatar_component_clause,[],[f26517]) ).
fof(f5228,plain,
( ! [X0] : hd(cons(X0,sk4)) = X0
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f5227]) ).
fof(f26540,plain,
( spl0_964
| ~ spl0_56
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4415,f1017,f487,f26538]) ).
fof(f4415,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) )
| ~ spl0_56
| ~ spl0_136 ),
inference(resolution,[],[f1018,f488]) ).
fof(f26536,plain,
( spl0_963
| ~ spl0_55
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4414,f1017,f483,f26534]) ).
fof(f483,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f4414,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) )
| ~ spl0_55
| ~ spl0_136 ),
inference(resolution,[],[f1018,f484]) ).
fof(f484,plain,
( ! [X0] : ssItem(skaf49(X0))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f26532,plain,
( spl0_962
| ~ spl0_54
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4413,f1017,f479,f26530]) ).
fof(f479,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4413,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) )
| ~ spl0_54
| ~ spl0_136 ),
inference(resolution,[],[f1018,f480]) ).
fof(f480,plain,
( ! [X0] : ssItem(skaf50(X0))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f26528,plain,
( spl0_961
| ~ spl0_50
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4412,f1017,f463,f26526]) ).
fof(f463,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f4412,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) )
| ~ spl0_50
| ~ spl0_136 ),
inference(resolution,[],[f1018,f464]) ).
fof(f464,plain,
( ! [X0] : ssItem(skaf54(X0))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f26524,plain,
( spl0_960
| ~ spl0_49
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4411,f1017,f459,f26522]) ).
fof(f459,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f4411,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) )
| ~ spl0_49
| ~ spl0_136 ),
inference(resolution,[],[f1018,f460]) ).
fof(f460,plain,
( ! [X0] : ssItem(skaf55(X0))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f26520,plain,
( spl0_959
| ~ spl0_297
| ~ spl0_926 ),
inference(avatar_split_clause,[],[f26438,f23084,f3771,f26517]) ).
fof(f23084,plain,
( spl0_926
<=> ! [X0] : cons(X0,sk4) = app(cons(X0,nil),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).
fof(f26438,plain,
( app(sk3,sk4) = cons(skaf44(sk3),sk4)
| ~ spl0_297
| ~ spl0_926 ),
inference(superposition,[],[f23085,f3773]) ).
fof(f23085,plain,
( ! [X0] : cons(X0,sk4) = app(cons(X0,nil),sk4)
| ~ spl0_926 ),
inference(avatar_component_clause,[],[f23084]) ).
fof(f26515,plain,
( spl0_958
| ~ spl0_45
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4410,f1017,f443,f26513]) ).
fof(f443,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f4410,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) )
| ~ spl0_45
| ~ spl0_136 ),
inference(resolution,[],[f1018,f444]) ).
fof(f444,plain,
( ! [X0] : ssItem(skaf59(X0))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f26511,plain,
( spl0_957
| ~ spl0_44
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4409,f1017,f439,f26509]) ).
fof(f439,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f4409,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) )
| ~ spl0_44
| ~ spl0_136 ),
inference(resolution,[],[f1018,f440]) ).
fof(f440,plain,
( ! [X0] : ssItem(skaf60(X0))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f26507,plain,
( spl0_956
| ~ spl0_40
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4408,f1017,f423,f26505]) ).
fof(f423,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f4408,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) )
| ~ spl0_40
| ~ spl0_136 ),
inference(resolution,[],[f1018,f424]) ).
fof(f424,plain,
( ! [X0] : ssItem(skaf64(X0))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f26503,plain,
( spl0_955
| ~ spl0_39
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4407,f1017,f419,f26501]) ).
fof(f419,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f4407,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) )
| ~ spl0_39
| ~ spl0_136 ),
inference(resolution,[],[f1018,f420]) ).
fof(f420,plain,
( ! [X0] : ssItem(skaf65(X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f26499,plain,
( spl0_954
| ~ spl0_35
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4406,f1017,f403,f26497]) ).
fof(f403,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f4406,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) )
| ~ spl0_35
| ~ spl0_136 ),
inference(resolution,[],[f1018,f404]) ).
fof(f404,plain,
( ! [X0] : ssItem(skaf69(X0))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f26495,plain,
( spl0_953
| ~ spl0_34
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4405,f1017,f399,f26493]) ).
fof(f399,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f4405,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) )
| ~ spl0_34
| ~ spl0_136 ),
inference(resolution,[],[f1018,f400]) ).
fof(f400,plain,
( ! [X0] : ssItem(skaf70(X0))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f26491,plain,
( spl0_952
| ~ spl0_30
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4404,f1017,f383,f26489]) ).
fof(f383,plain,
( spl0_30
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f4404,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) )
| ~ spl0_30
| ~ spl0_136 ),
inference(resolution,[],[f1018,f384]) ).
fof(f384,plain,
( ! [X0] : ssItem(skaf74(X0))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f26487,plain,
( spl0_951
| ~ spl0_26
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4403,f1017,f367,f26485]) ).
fof(f367,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f4403,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) )
| ~ spl0_26
| ~ spl0_136 ),
inference(resolution,[],[f1018,f368]) ).
fof(f368,plain,
( ! [X0] : ssItem(skaf78(X0))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f26483,plain,
( spl0_950
| ~ spl0_25
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4402,f1017,f363,f26481]) ).
fof(f363,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f4402,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) )
| ~ spl0_25
| ~ spl0_136 ),
inference(resolution,[],[f1018,f364]) ).
fof(f364,plain,
( ! [X0] : ssItem(skaf79(X0))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f26479,plain,
( spl0_949
| ~ spl0_21
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4401,f1017,f347,f26477]) ).
fof(f347,plain,
( spl0_21
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f4401,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) )
| ~ spl0_21
| ~ spl0_136 ),
inference(resolution,[],[f1018,f348]) ).
fof(f348,plain,
( ! [X0] : ssItem(skaf83(X0))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f26366,plain,
( spl0_948
| ~ spl0_19
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4400,f1017,f337,f26364]) ).
fof(f337,plain,
( spl0_19
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f4400,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) )
| ~ spl0_19
| ~ spl0_136 ),
inference(resolution,[],[f1018,f339]) ).
fof(f339,plain,
( ssItem(skac2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f26362,plain,
( spl0_947
| ~ spl0_18
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4399,f1017,f332,f26360]) ).
fof(f332,plain,
( spl0_18
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f4399,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) )
| ~ spl0_18
| ~ spl0_136 ),
inference(resolution,[],[f1018,f334]) ).
fof(f334,plain,
( ssItem(skac3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f26176,plain,
( spl0_946
| ~ spl0_95
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4344,f759,f675,f26174]) ).
fof(f26174,plain,
( spl0_946
<=> ! [X0] :
( duplicatefreeP(tl(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).
fof(f4344,plain,
( ! [X0] :
( duplicatefreeP(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_95
| ~ spl0_99 ),
inference(resolution,[],[f676,f760]) ).
fof(f26172,plain,
( spl0_945
| ~ spl0_95
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f4343,f775,f675,f26170]) ).
fof(f26170,plain,
( spl0_945
<=> ! [X0,X1] :
( duplicatefreeP(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).
fof(f4343,plain,
( ! [X0,X1] :
( duplicatefreeP(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_95
| ~ spl0_103 ),
inference(resolution,[],[f676,f776]) ).
fof(f26168,plain,
( spl0_944
| ~ spl0_95
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f4342,f779,f675,f26166]) ).
fof(f26166,plain,
( spl0_944
<=> ! [X0,X1] :
( duplicatefreeP(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).
fof(f4342,plain,
( ! [X0,X1] :
( duplicatefreeP(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_95
| ~ spl0_104 ),
inference(resolution,[],[f676,f780]) ).
fof(f26124,plain,
( spl0_943
| ~ spl0_64
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4341,f675,f521,f26122]) ).
fof(f26122,plain,
( spl0_943
<=> ! [X0,X1] : duplicatefreeP(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).
fof(f4341,plain,
( ! [X0,X1] : duplicatefreeP(skaf42(X0,X1))
| ~ spl0_64
| ~ spl0_95 ),
inference(resolution,[],[f676,f522]) ).
fof(f26120,plain,
( spl0_942
| ~ spl0_63
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4340,f675,f517,f26118]) ).
fof(f26118,plain,
( spl0_942
<=> ! [X0,X1] : duplicatefreeP(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).
fof(f4340,plain,
( ! [X0,X1] : duplicatefreeP(skaf43(X0,X1))
| ~ spl0_63
| ~ spl0_95 ),
inference(resolution,[],[f676,f518]) ).
fof(f26116,plain,
( spl0_941
| ~ spl0_62
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4339,f675,f513,f26114]) ).
fof(f26114,plain,
( spl0_941
<=> ! [X0,X1] : duplicatefreeP(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).
fof(f4339,plain,
( ! [X0,X1] : duplicatefreeP(skaf45(X0,X1))
| ~ spl0_62
| ~ spl0_95 ),
inference(resolution,[],[f676,f514]) ).
fof(f26112,plain,
( spl0_940
| ~ spl0_61
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4338,f675,f509,f26110]) ).
fof(f26110,plain,
( spl0_940
<=> ! [X0,X1] : duplicatefreeP(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).
fof(f4338,plain,
( ! [X0,X1] : duplicatefreeP(skaf46(X0,X1))
| ~ spl0_61
| ~ spl0_95 ),
inference(resolution,[],[f676,f510]) ).
fof(f26072,plain,
( spl0_939
| ~ spl0_60
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4337,f675,f505,f26070]) ).
fof(f26070,plain,
( spl0_939
<=> ! [X0,X1] : duplicatefreeP(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).
fof(f4337,plain,
( ! [X0,X1] : duplicatefreeP(skaf47(X0,X1))
| ~ spl0_60
| ~ spl0_95 ),
inference(resolution,[],[f676,f506]) ).
fof(f26068,plain,
( spl0_938
| ~ spl0_59
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4336,f675,f501,f26066]) ).
fof(f26066,plain,
( spl0_938
<=> ! [X0,X1] : duplicatefreeP(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).
fof(f4336,plain,
( ! [X0,X1] : duplicatefreeP(skaf48(X0,X1))
| ~ spl0_59
| ~ spl0_95 ),
inference(resolution,[],[f676,f502]) ).
fof(f26061,plain,
( spl0_937
| ~ spl0_53
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4335,f675,f475,f26059]) ).
fof(f26059,plain,
( spl0_937
<=> ! [X0] : duplicatefreeP(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).
fof(f4335,plain,
( ! [X0] : duplicatefreeP(skaf51(X0))
| ~ spl0_53
| ~ spl0_95 ),
inference(resolution,[],[f676,f476]) ).
fof(f26057,plain,
( spl0_936
| ~ spl0_52
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4334,f675,f471,f26055]) ).
fof(f26055,plain,
( spl0_936
<=> ! [X0] : duplicatefreeP(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).
fof(f4334,plain,
( ! [X0] : duplicatefreeP(skaf52(X0))
| ~ spl0_52
| ~ spl0_95 ),
inference(resolution,[],[f676,f472]) ).
fof(f26053,plain,
( spl0_935
| ~ spl0_51
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4333,f675,f467,f26051]) ).
fof(f26051,plain,
( spl0_935
<=> ! [X0] : duplicatefreeP(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).
fof(f4333,plain,
( ! [X0] : duplicatefreeP(skaf53(X0))
| ~ spl0_51
| ~ spl0_95 ),
inference(resolution,[],[f676,f468]) ).
fof(f26049,plain,
( spl0_934
| ~ spl0_48
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4332,f675,f455,f26047]) ).
fof(f26047,plain,
( spl0_934
<=> ! [X0] : duplicatefreeP(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).
fof(f4332,plain,
( ! [X0] : duplicatefreeP(skaf56(X0))
| ~ spl0_48
| ~ spl0_95 ),
inference(resolution,[],[f676,f456]) ).
fof(f26045,plain,
( spl0_933
| ~ spl0_47
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4331,f675,f451,f26043]) ).
fof(f26043,plain,
( spl0_933
<=> ! [X0] : duplicatefreeP(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).
fof(f4331,plain,
( ! [X0] : duplicatefreeP(skaf57(X0))
| ~ spl0_47
| ~ spl0_95 ),
inference(resolution,[],[f676,f452]) ).
fof(f26041,plain,
( spl0_932
| ~ spl0_46
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4330,f675,f447,f26039]) ).
fof(f26039,plain,
( spl0_932
<=> ! [X0] : duplicatefreeP(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).
fof(f4330,plain,
( ! [X0] : duplicatefreeP(skaf58(X0))
| ~ spl0_46
| ~ spl0_95 ),
inference(resolution,[],[f676,f448]) ).
fof(f26037,plain,
( spl0_931
| ~ spl0_43
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4329,f675,f435,f26035]) ).
fof(f26035,plain,
( spl0_931
<=> ! [X0] : duplicatefreeP(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).
fof(f4329,plain,
( ! [X0] : duplicatefreeP(skaf61(X0))
| ~ spl0_43
| ~ spl0_95 ),
inference(resolution,[],[f676,f436]) ).
fof(f25898,plain,
( spl0_930
| ~ spl0_326
| ~ spl0_393
| ~ spl0_928 ),
inference(avatar_split_clause,[],[f25716,f25428,f6546,f4903,f25895]) ).
fof(f4903,plain,
( spl0_326
<=> ! [X0] : hd(cons(X0,sk3)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f6546,plain,
( spl0_393
<=> sk6 = hd(app(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f25716,plain,
( sk6 = skaf44(sk3)
| ~ spl0_326
| ~ spl0_393
| ~ spl0_928 ),
inference(forward_demodulation,[],[f25641,f6548]) ).
fof(f6548,plain,
( sk6 = hd(app(sk3,sk3))
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f6546]) ).
fof(f25641,plain,
( skaf44(sk3) = hd(app(sk3,sk3))
| ~ spl0_326
| ~ spl0_928 ),
inference(superposition,[],[f4904,f25430]) ).
fof(f25430,plain,
( app(sk3,sk3) = cons(skaf44(sk3),sk3)
| ~ spl0_928 ),
inference(avatar_component_clause,[],[f25428]) ).
fof(f4904,plain,
( ! [X0] : hd(cons(X0,sk3)) = X0
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f25570,plain,
( spl0_929
| ~ spl0_42
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4328,f675,f431,f25568]) ).
fof(f25568,plain,
( spl0_929
<=> ! [X0] : duplicatefreeP(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).
fof(f4328,plain,
( ! [X0] : duplicatefreeP(skaf62(X0))
| ~ spl0_42
| ~ spl0_95 ),
inference(resolution,[],[f676,f432]) ).
fof(f25431,plain,
( spl0_928
| ~ spl0_297
| ~ spl0_922 ),
inference(avatar_split_clause,[],[f25378,f22867,f3771,f25428]) ).
fof(f22867,plain,
( spl0_922
<=> ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).
fof(f25378,plain,
( app(sk3,sk3) = cons(skaf44(sk3),sk3)
| ~ spl0_297
| ~ spl0_922 ),
inference(superposition,[],[f22868,f3773]) ).
fof(f22868,plain,
( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
| ~ spl0_922 ),
inference(avatar_component_clause,[],[f22867]) ).
fof(f23225,plain,
( spl0_927
| ~ spl0_41
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4327,f675,f427,f23223]) ).
fof(f23223,plain,
( spl0_927
<=> ! [X0] : duplicatefreeP(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).
fof(f4327,plain,
( ! [X0] : duplicatefreeP(skaf63(X0))
| ~ spl0_41
| ~ spl0_95 ),
inference(resolution,[],[f676,f428]) ).
fof(f23086,plain,
( spl0_926
| ~ spl0_2
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f6172,f6005,f250,f23084]) ).
fof(f6005,plain,
( spl0_349
<=> ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f6172,plain,
( ! [X0] : cons(X0,sk4) = app(cons(X0,nil),sk4)
| ~ spl0_2
| ~ spl0_349 ),
inference(resolution,[],[f6006,f252]) ).
fof(f6006,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f6005]) ).
fof(f23012,plain,
( spl0_925
| ~ spl0_38
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4326,f675,f415,f23010]) ).
fof(f23010,plain,
( spl0_925
<=> ! [X0] : duplicatefreeP(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).
fof(f4326,plain,
( ! [X0] : duplicatefreeP(skaf66(X0))
| ~ spl0_38
| ~ spl0_95 ),
inference(resolution,[],[f676,f416]) ).
fof(f22987,plain,
( spl0_924
| ~ spl0_2
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f6307,f6272,f250,f22984]) ).
fof(f22984,plain,
( spl0_924
<=> sk4 = app(skaf47(sk4,nil),skaf48(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).
fof(f6272,plain,
( spl0_360
<=> ! [X0] :
( app(skaf47(X0,nil),skaf48(nil,X0)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f6307,plain,
( sk4 = app(skaf47(sk4,nil),skaf48(nil,sk4))
| ~ spl0_2
| ~ spl0_360 ),
inference(resolution,[],[f6273,f252]) ).
fof(f6273,plain,
( ! [X0] :
( ~ ssList(X0)
| app(skaf47(X0,nil),skaf48(nil,X0)) = X0 )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f6272]) ).
fof(f22874,plain,
( spl0_923
| ~ spl0_1
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f6306,f6272,f245,f22871]) ).
fof(f22871,plain,
( spl0_923
<=> sk3 = app(skaf47(sk3,nil),skaf48(nil,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).
fof(f6306,plain,
( sk3 = app(skaf47(sk3,nil),skaf48(nil,sk3))
| ~ spl0_1
| ~ spl0_360 ),
inference(resolution,[],[f6273,f247]) ).
fof(f22869,plain,
( spl0_922
| ~ spl0_1
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f6171,f6005,f245,f22867]) ).
fof(f6171,plain,
( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
| ~ spl0_1
| ~ spl0_349 ),
inference(resolution,[],[f6006,f247]) ).
fof(f22865,plain,
( spl0_921
| ~ spl0_53
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4544,f4515,f475,f22863]) ).
fof(f22863,plain,
( spl0_921
<=> ! [X0] : app(sk3,skaf51(X0)) = cons(sk6,skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).
fof(f4544,plain,
( ! [X0] : app(sk3,skaf51(X0)) = cons(sk6,skaf51(X0))
| ~ spl0_53
| ~ spl0_316 ),
inference(resolution,[],[f4516,f476]) ).
fof(f22861,plain,
( spl0_920
| ~ spl0_52
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4543,f4515,f471,f22859]) ).
fof(f22859,plain,
( spl0_920
<=> ! [X0] : app(sk3,skaf52(X0)) = cons(sk6,skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).
fof(f4543,plain,
( ! [X0] : app(sk3,skaf52(X0)) = cons(sk6,skaf52(X0))
| ~ spl0_52
| ~ spl0_316 ),
inference(resolution,[],[f4516,f472]) ).
fof(f22857,plain,
( spl0_919
| ~ spl0_51
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4542,f4515,f467,f22855]) ).
fof(f22855,plain,
( spl0_919
<=> ! [X0] : app(sk3,skaf53(X0)) = cons(sk6,skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).
fof(f4542,plain,
( ! [X0] : app(sk3,skaf53(X0)) = cons(sk6,skaf53(X0))
| ~ spl0_51
| ~ spl0_316 ),
inference(resolution,[],[f4516,f468]) ).
fof(f22853,plain,
( spl0_918
| ~ spl0_48
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4541,f4515,f455,f22851]) ).
fof(f22851,plain,
( spl0_918
<=> ! [X0] : app(sk3,skaf56(X0)) = cons(sk6,skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).
fof(f4541,plain,
( ! [X0] : app(sk3,skaf56(X0)) = cons(sk6,skaf56(X0))
| ~ spl0_48
| ~ spl0_316 ),
inference(resolution,[],[f4516,f456]) ).
fof(f22849,plain,
( spl0_917
| ~ spl0_47
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4540,f4515,f451,f22847]) ).
fof(f22847,plain,
( spl0_917
<=> ! [X0] : app(sk3,skaf57(X0)) = cons(sk6,skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).
fof(f4540,plain,
( ! [X0] : app(sk3,skaf57(X0)) = cons(sk6,skaf57(X0))
| ~ spl0_47
| ~ spl0_316 ),
inference(resolution,[],[f4516,f452]) ).
fof(f22845,plain,
( spl0_916
| ~ spl0_46
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4539,f4515,f447,f22843]) ).
fof(f22843,plain,
( spl0_916
<=> ! [X0] : app(sk3,skaf58(X0)) = cons(sk6,skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).
fof(f4539,plain,
( ! [X0] : app(sk3,skaf58(X0)) = cons(sk6,skaf58(X0))
| ~ spl0_46
| ~ spl0_316 ),
inference(resolution,[],[f4516,f448]) ).
fof(f22841,plain,
( spl0_915
| ~ spl0_43
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4538,f4515,f435,f22839]) ).
fof(f22839,plain,
( spl0_915
<=> ! [X0] : app(sk3,skaf61(X0)) = cons(sk6,skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).
fof(f4538,plain,
( ! [X0] : app(sk3,skaf61(X0)) = cons(sk6,skaf61(X0))
| ~ spl0_43
| ~ spl0_316 ),
inference(resolution,[],[f4516,f436]) ).
fof(f22837,plain,
( spl0_914
| ~ spl0_42
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4537,f4515,f431,f22835]) ).
fof(f22835,plain,
( spl0_914
<=> ! [X0] : app(sk3,skaf62(X0)) = cons(sk6,skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).
fof(f4537,plain,
( ! [X0] : app(sk3,skaf62(X0)) = cons(sk6,skaf62(X0))
| ~ spl0_42
| ~ spl0_316 ),
inference(resolution,[],[f4516,f432]) ).
fof(f22833,plain,
( spl0_913
| ~ spl0_41
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4536,f4515,f427,f22831]) ).
fof(f22831,plain,
( spl0_913
<=> ! [X0] : app(sk3,skaf63(X0)) = cons(sk6,skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).
fof(f4536,plain,
( ! [X0] : app(sk3,skaf63(X0)) = cons(sk6,skaf63(X0))
| ~ spl0_41
| ~ spl0_316 ),
inference(resolution,[],[f4516,f428]) ).
fof(f22829,plain,
( spl0_912
| ~ spl0_38
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4535,f4515,f415,f22827]) ).
fof(f22827,plain,
( spl0_912
<=> ! [X0] : app(sk3,skaf66(X0)) = cons(sk6,skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).
fof(f4535,plain,
( ! [X0] : app(sk3,skaf66(X0)) = cons(sk6,skaf66(X0))
| ~ spl0_38
| ~ spl0_316 ),
inference(resolution,[],[f4516,f416]) ).
fof(f22825,plain,
( spl0_911
| ~ spl0_37
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4534,f4515,f411,f22823]) ).
fof(f22823,plain,
( spl0_911
<=> ! [X0] : app(sk3,skaf67(X0)) = cons(sk6,skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).
fof(f4534,plain,
( ! [X0] : app(sk3,skaf67(X0)) = cons(sk6,skaf67(X0))
| ~ spl0_37
| ~ spl0_316 ),
inference(resolution,[],[f4516,f412]) ).
fof(f22821,plain,
( spl0_910
| ~ spl0_36
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4533,f4515,f407,f22819]) ).
fof(f22819,plain,
( spl0_910
<=> ! [X0] : app(sk3,skaf68(X0)) = cons(sk6,skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).
fof(f4533,plain,
( ! [X0] : app(sk3,skaf68(X0)) = cons(sk6,skaf68(X0))
| ~ spl0_36
| ~ spl0_316 ),
inference(resolution,[],[f4516,f408]) ).
fof(f22817,plain,
( spl0_909
| ~ spl0_33
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4532,f4515,f395,f22815]) ).
fof(f22815,plain,
( spl0_909
<=> ! [X0] : app(sk3,skaf71(X0)) = cons(sk6,skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).
fof(f4532,plain,
( ! [X0] : app(sk3,skaf71(X0)) = cons(sk6,skaf71(X0))
| ~ spl0_33
| ~ spl0_316 ),
inference(resolution,[],[f4516,f396]) ).
fof(f22813,plain,
( spl0_908
| ~ spl0_32
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4531,f4515,f391,f22811]) ).
fof(f22811,plain,
( spl0_908
<=> ! [X0] : app(sk3,skaf72(X0)) = cons(sk6,skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).
fof(f4531,plain,
( ! [X0] : app(sk3,skaf72(X0)) = cons(sk6,skaf72(X0))
| ~ spl0_32
| ~ spl0_316 ),
inference(resolution,[],[f4516,f392]) ).
fof(f22809,plain,
( spl0_907
| ~ spl0_31
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4530,f4515,f387,f22807]) ).
fof(f22807,plain,
( spl0_907
<=> ! [X0] : app(sk3,skaf73(X0)) = cons(sk6,skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).
fof(f4530,plain,
( ! [X0] : app(sk3,skaf73(X0)) = cons(sk6,skaf73(X0))
| ~ spl0_31
| ~ spl0_316 ),
inference(resolution,[],[f4516,f388]) ).
fof(f22805,plain,
( spl0_906
| ~ spl0_29
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4529,f4515,f379,f22803]) ).
fof(f22803,plain,
( spl0_906
<=> ! [X0] : app(sk3,skaf75(X0)) = cons(sk6,skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).
fof(f4529,plain,
( ! [X0] : app(sk3,skaf75(X0)) = cons(sk6,skaf75(X0))
| ~ spl0_29
| ~ spl0_316 ),
inference(resolution,[],[f4516,f380]) ).
fof(f22801,plain,
( spl0_905
| ~ spl0_28
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4528,f4515,f375,f22799]) ).
fof(f22799,plain,
( spl0_905
<=> ! [X0] : app(sk3,skaf76(X0)) = cons(sk6,skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).
fof(f4528,plain,
( ! [X0] : app(sk3,skaf76(X0)) = cons(sk6,skaf76(X0))
| ~ spl0_28
| ~ spl0_316 ),
inference(resolution,[],[f4516,f376]) ).
fof(f22797,plain,
( spl0_904
| ~ spl0_27
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4527,f4515,f371,f22795]) ).
fof(f22795,plain,
( spl0_904
<=> ! [X0] : app(sk3,skaf77(X0)) = cons(sk6,skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).
fof(f4527,plain,
( ! [X0] : app(sk3,skaf77(X0)) = cons(sk6,skaf77(X0))
| ~ spl0_27
| ~ spl0_316 ),
inference(resolution,[],[f4516,f372]) ).
fof(f22793,plain,
( spl0_903
| ~ spl0_24
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4526,f4515,f359,f22791]) ).
fof(f22791,plain,
( spl0_903
<=> ! [X0] : app(sk3,skaf80(X0)) = cons(sk6,skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).
fof(f4526,plain,
( ! [X0] : app(sk3,skaf80(X0)) = cons(sk6,skaf80(X0))
| ~ spl0_24
| ~ spl0_316 ),
inference(resolution,[],[f4516,f360]) ).
fof(f22782,plain,
( spl0_902
| ~ spl0_23
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4525,f4515,f355,f22780]) ).
fof(f22780,plain,
( spl0_902
<=> ! [X0] : app(sk3,skaf81(X0)) = cons(sk6,skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).
fof(f4525,plain,
( ! [X0] : app(sk3,skaf81(X0)) = cons(sk6,skaf81(X0))
| ~ spl0_23
| ~ spl0_316 ),
inference(resolution,[],[f4516,f356]) ).
fof(f22778,plain,
( spl0_901
| ~ spl0_22
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4524,f4515,f351,f22776]) ).
fof(f22776,plain,
( spl0_901
<=> ! [X0] : app(sk3,skaf82(X0)) = cons(sk6,skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).
fof(f4524,plain,
( ! [X0] : app(sk3,skaf82(X0)) = cons(sk6,skaf82(X0))
| ~ spl0_22
| ~ spl0_316 ),
inference(resolution,[],[f4516,f352]) ).
fof(f22774,plain,
( spl0_900
| ~ spl0_5
| ~ spl0_866
| ~ spl0_125
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f3119,f2736,f887,f21025,f264,f22771]) ).
fof(f22771,plain,
( spl0_900
<=> gt(hd(sk4),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).
fof(f887,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f2736,plain,
( spl0_235
<=> lt(sk6,hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f3119,plain,
( ~ ssItem(hd(sk4))
| ~ ssItem(sk6)
| gt(hd(sk4),sk6)
| ~ spl0_125
| ~ spl0_235 ),
inference(resolution,[],[f2738,f888]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| gt(X1,X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f2738,plain,
( lt(sk6,hd(sk4))
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f22769,plain,
( ~ spl0_899
| ~ spl0_5
| ~ spl0_866
| ~ spl0_129
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f3118,f2736,f903,f21025,f264,f22766]) ).
fof(f22766,plain,
( spl0_899
<=> lt(hd(sk4),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).
fof(f903,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f3118,plain,
( ~ ssItem(hd(sk4))
| ~ ssItem(sk6)
| ~ lt(hd(sk4),sk6)
| ~ spl0_129
| ~ spl0_235 ),
inference(resolution,[],[f2738,f904]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f22764,plain,
( spl0_898
| ~ spl0_2
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2498,f2377,f250,f22761]) ).
fof(f22761,plain,
( spl0_898
<=> tl(app(sk4,sk4)) = app(tl(sk4),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).
fof(f2498,plain,
( tl(app(sk4,sk4)) = app(tl(sk4),sk4)
| ~ spl0_2
| ~ spl0_220 ),
inference(resolution,[],[f2378,f252]) ).
fof(f22759,plain,
( spl0_897
| ~ spl0_1
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2497,f2377,f245,f22756]) ).
fof(f22756,plain,
( spl0_897
<=> tl(app(sk4,sk3)) = app(tl(sk4),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).
fof(f2497,plain,
( tl(app(sk4,sk3)) = app(tl(sk4),sk3)
| ~ spl0_1
| ~ spl0_220 ),
inference(resolution,[],[f2378,f247]) ).
fof(f22752,plain,
( spl0_896
| ~ spl0_2
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2369,f2334,f250,f22749]) ).
fof(f22749,plain,
( spl0_896
<=> tl(app(sk3,sk4)) = app(tl(sk3),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).
fof(f2369,plain,
( tl(app(sk3,sk4)) = app(tl(sk3),sk4)
| ~ spl0_2
| ~ spl0_218 ),
inference(resolution,[],[f2335,f252]) ).
fof(f22738,plain,
( spl0_895
| ~ spl0_1
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2368,f2334,f245,f22735]) ).
fof(f22735,plain,
( spl0_895
<=> tl(app(sk3,sk3)) = app(tl(sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).
fof(f2368,plain,
( tl(app(sk3,sk3)) = app(tl(sk3),sk3)
| ~ spl0_1
| ~ spl0_218 ),
inference(resolution,[],[f2335,f247]) ).
fof(f22733,plain,
( spl0_894
| ~ spl0_64
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2326,f2220,f521,f22731]) ).
fof(f22731,plain,
( spl0_894
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf42(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).
fof(f2326,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_216 ),
inference(resolution,[],[f2221,f522]) ).
fof(f22729,plain,
( spl0_893
| ~ spl0_63
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2325,f2220,f517,f22727]) ).
fof(f22727,plain,
( spl0_893
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf43(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).
fof(f2325,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_216 ),
inference(resolution,[],[f2221,f518]) ).
fof(f22725,plain,
( spl0_892
| ~ spl0_62
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2324,f2220,f513,f22723]) ).
fof(f22723,plain,
( spl0_892
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf45(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).
fof(f2324,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_216 ),
inference(resolution,[],[f2221,f514]) ).
fof(f22721,plain,
( spl0_891
| ~ spl0_61
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2323,f2220,f509,f22719]) ).
fof(f22719,plain,
( spl0_891
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf46(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).
fof(f2323,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_216 ),
inference(resolution,[],[f2221,f510]) ).
fof(f22717,plain,
( spl0_890
| ~ spl0_60
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2322,f2220,f505,f22715]) ).
fof(f22715,plain,
( spl0_890
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf47(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).
fof(f2322,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_216 ),
inference(resolution,[],[f2221,f506]) ).
fof(f22713,plain,
( spl0_889
| ~ spl0_59
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2321,f2220,f501,f22711]) ).
fof(f22711,plain,
( spl0_889
<=> ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf48(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).
fof(f2321,plain,
( ! [X0,X1] : hd(sk4) = hd(app(sk4,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_216 ),
inference(resolution,[],[f2221,f502]) ).
fof(f22708,plain,
( spl0_888
| ~ spl0_64
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2213,f2183,f521,f22706]) ).
fof(f22706,plain,
( spl0_888
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf42(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).
fof(f2213,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_215 ),
inference(resolution,[],[f2184,f522]) ).
fof(f22703,plain,
( spl0_887
| ~ spl0_63
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2212,f2183,f517,f22701]) ).
fof(f22701,plain,
( spl0_887
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf43(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).
fof(f2212,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_215 ),
inference(resolution,[],[f2184,f518]) ).
fof(f22698,plain,
( spl0_886
| ~ spl0_62
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2211,f2183,f513,f22696]) ).
fof(f22696,plain,
( spl0_886
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf45(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).
fof(f2211,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_215 ),
inference(resolution,[],[f2184,f514]) ).
fof(f22686,plain,
( spl0_885
| ~ spl0_61
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2210,f2183,f509,f22684]) ).
fof(f22684,plain,
( spl0_885
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf46(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).
fof(f2210,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_215 ),
inference(resolution,[],[f2184,f510]) ).
fof(f22681,plain,
( spl0_884
| ~ spl0_60
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2209,f2183,f505,f22679]) ).
fof(f22679,plain,
( spl0_884
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf47(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).
fof(f2209,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_215 ),
inference(resolution,[],[f2184,f506]) ).
fof(f22676,plain,
( spl0_883
| ~ spl0_59
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2208,f2183,f501,f22674]) ).
fof(f22674,plain,
( spl0_883
<=> ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf48(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).
fof(f2208,plain,
( ! [X0,X1] : hd(sk3) = hd(app(sk3,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_215 ),
inference(resolution,[],[f2184,f502]) ).
fof(f22504,plain,
( spl0_882
| ~ spl0_215
| ~ spl0_320
| ~ spl0_870 ),
inference(avatar_split_clause,[],[f21494,f21327,f4601,f2183,f22501]) ).
fof(f22501,plain,
( spl0_882
<=> sk6 = hd(app(sk3,app(sk3,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).
fof(f21327,plain,
( spl0_870
<=> ssList(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).
fof(f21494,plain,
( sk6 = hd(app(sk3,app(sk3,sk4)))
| ~ spl0_215
| ~ spl0_320
| ~ spl0_870 ),
inference(forward_demodulation,[],[f21375,f4603]) ).
fof(f21375,plain,
( hd(sk3) = hd(app(sk3,app(sk3,sk4)))
| ~ spl0_215
| ~ spl0_870 ),
inference(resolution,[],[f21329,f2184]) ).
fof(f21329,plain,
( ssList(app(sk3,sk4))
| ~ spl0_870 ),
inference(avatar_component_clause,[],[f21327]) ).
fof(f22429,plain,
( spl0_881
| ~ spl0_37
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4325,f675,f411,f22427]) ).
fof(f22427,plain,
( spl0_881
<=> ! [X0] : duplicatefreeP(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).
fof(f4325,plain,
( ! [X0] : duplicatefreeP(skaf67(X0))
| ~ spl0_37
| ~ spl0_95 ),
inference(resolution,[],[f676,f412]) ).
fof(f22237,plain,
( spl0_880
| ~ spl0_319
| ~ spl0_870 ),
inference(avatar_split_clause,[],[f21383,f21327,f4595,f22235]) ).
fof(f22235,plain,
( spl0_880
<=> ! [X0] : hd(cons(X0,app(sk3,sk4))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).
fof(f21383,plain,
( ! [X0] : hd(cons(X0,app(sk3,sk4))) = X0
| ~ spl0_319
| ~ spl0_870 ),
inference(resolution,[],[f21329,f4596]) ).
fof(f22198,plain,
( spl0_879
| ~ spl0_36
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4324,f675,f407,f22196]) ).
fof(f22196,plain,
( spl0_879
<=> ! [X0] : duplicatefreeP(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).
fof(f4324,plain,
( ! [X0] : duplicatefreeP(skaf68(X0))
| ~ spl0_36
| ~ spl0_95 ),
inference(resolution,[],[f676,f408]) ).
fof(f22090,plain,
( ~ spl0_21
| spl0_877 ),
inference(avatar_contradiction_clause,[],[f22089]) ).
fof(f22089,plain,
( $false
| ~ spl0_21
| spl0_877 ),
inference(resolution,[],[f348,f22081]) ).
fof(f22081,plain,
( ~ ssItem(skaf83(sk4))
| spl0_877 ),
inference(avatar_component_clause,[],[f22079]) ).
fof(f22088,plain,
( ~ spl0_94
| spl0_877 ),
inference(avatar_contradiction_clause,[],[f22087]) ).
fof(f22087,plain,
( $false
| ~ spl0_94
| spl0_877 ),
inference(resolution,[],[f22081,f673]) ).
fof(f673,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl0_94
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f22086,plain,
( ~ spl0_877
| ~ spl0_2
| ~ spl0_878
| ~ spl0_115
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2180,f2102,f843,f22083,f250,f22079]) ).
fof(f22083,plain,
( spl0_878
<=> sk4 = skaf82(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).
fof(f843,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2180,plain,
( sk4 != skaf82(sk4)
| ~ ssList(sk4)
| ~ ssItem(skaf83(sk4))
| ~ spl0_115
| ~ spl0_213 ),
inference(inner_rewriting,[],[f2148]) ).
fof(f2148,plain,
( sk4 != skaf82(sk4)
| ~ ssList(skaf82(sk4))
| ~ ssItem(skaf83(sk4))
| ~ spl0_115
| ~ spl0_213 ),
inference(superposition,[],[f844,f2104]) ).
fof(f844,plain,
( ! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f21942,plain,
( spl0_876
| ~ spl0_215
| ~ spl0_320
| ~ spl0_868 ),
inference(avatar_split_clause,[],[f21313,f21036,f4601,f2183,f21939]) ).
fof(f21939,plain,
( spl0_876
<=> sk6 = hd(app(sk3,app(sk3,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).
fof(f21036,plain,
( spl0_868
<=> ssList(app(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).
fof(f21313,plain,
( sk6 = hd(app(sk3,app(sk3,sk3)))
| ~ spl0_215
| ~ spl0_320
| ~ spl0_868 ),
inference(forward_demodulation,[],[f21194,f4603]) ).
fof(f21194,plain,
( hd(sk3) = hd(app(sk3,app(sk3,sk3)))
| ~ spl0_215
| ~ spl0_868 ),
inference(resolution,[],[f21038,f2184]) ).
fof(f21038,plain,
( ssList(app(sk3,sk3))
| ~ spl0_868 ),
inference(avatar_component_clause,[],[f21036]) ).
fof(f21839,plain,
( spl0_875
| ~ spl0_95
| ~ spl0_868 ),
inference(avatar_split_clause,[],[f21681,f21036,f675,f21836]) ).
fof(f21836,plain,
( spl0_875
<=> duplicatefreeP(app(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).
fof(f21681,plain,
( duplicatefreeP(app(sk3,sk3))
| ~ spl0_95
| ~ spl0_868 ),
inference(resolution,[],[f676,f21038]) ).
fof(f21797,plain,
( spl0_874
| ~ spl0_319
| ~ spl0_868 ),
inference(avatar_split_clause,[],[f21202,f21036,f4595,f21795]) ).
fof(f21795,plain,
( spl0_874
<=> ! [X0] : hd(cons(X0,app(sk3,sk3))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).
fof(f21202,plain,
( ! [X0] : hd(cons(X0,app(sk3,sk3))) = X0
| ~ spl0_319
| ~ spl0_868 ),
inference(resolution,[],[f21038,f4596]) ).
fof(f21758,plain,
( spl0_873
| ~ spl0_33
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4323,f675,f395,f21756]) ).
fof(f21756,plain,
( spl0_873
<=> ! [X0] : duplicatefreeP(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).
fof(f4323,plain,
( ! [X0] : duplicatefreeP(skaf71(X0))
| ~ spl0_33
| ~ spl0_95 ),
inference(resolution,[],[f676,f396]) ).
fof(f21650,plain,
( ~ spl0_21
| spl0_871 ),
inference(avatar_contradiction_clause,[],[f21649]) ).
fof(f21649,plain,
( $false
| ~ spl0_21
| spl0_871 ),
inference(resolution,[],[f348,f21641]) ).
fof(f21641,plain,
( ~ ssItem(skaf83(sk3))
| spl0_871 ),
inference(avatar_component_clause,[],[f21639]) ).
fof(f21648,plain,
( ~ spl0_94
| spl0_871 ),
inference(avatar_contradiction_clause,[],[f21647]) ).
fof(f21647,plain,
( $false
| ~ spl0_94
| spl0_871 ),
inference(resolution,[],[f21641,f673]) ).
fof(f21646,plain,
( ~ spl0_871
| ~ spl0_1
| ~ spl0_872
| ~ spl0_115
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2100,f2062,f843,f21643,f245,f21639]) ).
fof(f21643,plain,
( spl0_872
<=> sk3 = skaf82(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).
fof(f2100,plain,
( sk3 != skaf82(sk3)
| ~ ssList(sk3)
| ~ ssItem(skaf83(sk3))
| ~ spl0_115
| ~ spl0_212 ),
inference(inner_rewriting,[],[f2068]) ).
fof(f2068,plain,
( sk3 != skaf82(sk3)
| ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3))
| ~ spl0_115
| ~ spl0_212 ),
inference(superposition,[],[f844,f2064]) ).
fof(f21330,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_870
| ~ spl0_104
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f14027,f8909,f779,f21327,f250,f264]) ).
fof(f14027,plain,
( ssList(app(sk3,sk4))
| ~ ssList(sk4)
| ~ ssItem(sk6)
| ~ spl0_104
| ~ spl0_431 ),
inference(superposition,[],[f780,f8911]) ).
fof(f8911,plain,
( cons(sk6,sk4) = app(sk3,sk4)
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f8909]) ).
fof(f21146,plain,
( spl0_869
| ~ spl0_32
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4322,f675,f391,f21144]) ).
fof(f21144,plain,
( spl0_869
<=> ! [X0] : duplicatefreeP(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).
fof(f4322,plain,
( ! [X0] : duplicatefreeP(skaf72(X0))
| ~ spl0_32
| ~ spl0_95 ),
inference(resolution,[],[f676,f392]) ).
fof(f21039,plain,
( ~ spl0_5
| ~ spl0_1
| spl0_868
| ~ spl0_104
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f13945,f8872,f779,f21036,f245,f264]) ).
fof(f8872,plain,
( spl0_422
<=> app(sk3,sk3) = cons(sk6,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f13945,plain,
( ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ~ ssItem(sk6)
| ~ spl0_104
| ~ spl0_422 ),
inference(superposition,[],[f780,f8874]) ).
fof(f8874,plain,
( app(sk3,sk3) = cons(sk6,sk3)
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f8872]) ).
fof(f21034,plain,
( ~ spl0_94
| spl0_866 ),
inference(avatar_contradiction_clause,[],[f21033]) ).
fof(f21033,plain,
( $false
| ~ spl0_94
| spl0_866 ),
inference(resolution,[],[f21027,f673]) ).
fof(f21032,plain,
( ~ spl0_866
| ~ spl0_2
| ~ spl0_867
| ~ spl0_115
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2060,f1946,f843,f21029,f250,f21025]) ).
fof(f21029,plain,
( spl0_867
<=> sk4 = tl(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).
fof(f2060,plain,
( sk4 != tl(sk4)
| ~ ssList(sk4)
| ~ ssItem(hd(sk4))
| ~ spl0_115
| ~ spl0_210 ),
inference(inner_rewriting,[],[f2028]) ).
fof(f2028,plain,
( sk4 != tl(sk4)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ spl0_115
| ~ spl0_210 ),
inference(superposition,[],[f844,f1948]) ).
fof(f20703,plain,
( spl0_865
| ~ spl0_59
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4913,f4515,f4443,f501,f20701]) ).
fof(f20701,plain,
( spl0_865
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf48(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).
fof(f4443,plain,
( spl0_315
<=> ! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f4913,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4502,f4545]) ).
fof(f4502,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf48(X0,X1)))
| ~ spl0_59
| ~ spl0_315 ),
inference(resolution,[],[f4444,f502]) ).
fof(f4444,plain,
( ! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f4443]) ).
fof(f20699,plain,
( spl0_864
| ~ spl0_60
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4912,f4515,f4443,f505,f20697]) ).
fof(f20697,plain,
( spl0_864
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf47(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).
fof(f4912,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4503,f4546]) ).
fof(f4503,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf47(X0,X1)))
| ~ spl0_60
| ~ spl0_315 ),
inference(resolution,[],[f4444,f506]) ).
fof(f20695,plain,
( spl0_863
| ~ spl0_61
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4911,f4515,f4443,f509,f20693]) ).
fof(f20693,plain,
( spl0_863
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf46(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).
fof(f4911,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4504,f4547]) ).
fof(f4504,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf46(X0,X1)))
| ~ spl0_61
| ~ spl0_315 ),
inference(resolution,[],[f4444,f510]) ).
fof(f20691,plain,
( spl0_862
| ~ spl0_62
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4910,f4515,f4443,f513,f20689]) ).
fof(f20689,plain,
( spl0_862
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf45(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).
fof(f4910,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4505,f4548]) ).
fof(f4505,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf45(X0,X1)))
| ~ spl0_62
| ~ spl0_315 ),
inference(resolution,[],[f4444,f514]) ).
fof(f20687,plain,
( spl0_861
| ~ spl0_63
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4909,f4515,f4443,f517,f20685]) ).
fof(f20685,plain,
( spl0_861
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf43(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).
fof(f4909,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4506,f4549]) ).
fof(f4506,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf43(X0,X1)))
| ~ spl0_63
| ~ spl0_315 ),
inference(resolution,[],[f4444,f518]) ).
fof(f20683,plain,
( spl0_860
| ~ spl0_64
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4908,f4515,f4443,f521,f20681]) ).
fof(f20681,plain,
( spl0_860
<=> ! [X0,X1] : sk6 = hd(app(sk3,skaf42(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).
fof(f4908,plain,
( ! [X0,X1] : sk6 = hd(app(sk3,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4507,f4550]) ).
fof(f4507,plain,
( ! [X0,X1] : sk6 = hd(cons(sk6,skaf42(X0,X1)))
| ~ spl0_64
| ~ spl0_315 ),
inference(resolution,[],[f4444,f522]) ).
fof(f20679,plain,
( spl0_859
| ~ spl0_22
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4901,f4515,f4439,f351,f20677]) ).
fof(f20677,plain,
( spl0_859
<=> ! [X0] : skaf82(X0) = tl(app(sk3,skaf82(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).
fof(f4901,plain,
( ! [X0] : skaf82(X0) = tl(app(sk3,skaf82(X0)))
| ~ spl0_22
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4447,f4524]) ).
fof(f4447,plain,
( ! [X0] : skaf82(X0) = tl(cons(sk6,skaf82(X0)))
| ~ spl0_22
| ~ spl0_314 ),
inference(resolution,[],[f4440,f352]) ).
fof(f20675,plain,
( spl0_858
| ~ spl0_23
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4900,f4515,f4439,f355,f20673]) ).
fof(f20673,plain,
( spl0_858
<=> ! [X0] : skaf81(X0) = tl(app(sk3,skaf81(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).
fof(f4900,plain,
( ! [X0] : skaf81(X0) = tl(app(sk3,skaf81(X0)))
| ~ spl0_23
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4448,f4525]) ).
fof(f4448,plain,
( ! [X0] : skaf81(X0) = tl(cons(sk6,skaf81(X0)))
| ~ spl0_23
| ~ spl0_314 ),
inference(resolution,[],[f4440,f356]) ).
fof(f20671,plain,
( spl0_857
| ~ spl0_24
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4899,f4515,f4439,f359,f20669]) ).
fof(f20669,plain,
( spl0_857
<=> ! [X0] : skaf80(X0) = tl(app(sk3,skaf80(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).
fof(f4899,plain,
( ! [X0] : skaf80(X0) = tl(app(sk3,skaf80(X0)))
| ~ spl0_24
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4449,f4526]) ).
fof(f4449,plain,
( ! [X0] : skaf80(X0) = tl(cons(sk6,skaf80(X0)))
| ~ spl0_24
| ~ spl0_314 ),
inference(resolution,[],[f4440,f360]) ).
fof(f20667,plain,
( spl0_856
| ~ spl0_27
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4898,f4515,f4439,f371,f20665]) ).
fof(f20665,plain,
( spl0_856
<=> ! [X0] : skaf77(X0) = tl(app(sk3,skaf77(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).
fof(f4898,plain,
( ! [X0] : skaf77(X0) = tl(app(sk3,skaf77(X0)))
| ~ spl0_27
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4450,f4527]) ).
fof(f4450,plain,
( ! [X0] : skaf77(X0) = tl(cons(sk6,skaf77(X0)))
| ~ spl0_27
| ~ spl0_314 ),
inference(resolution,[],[f4440,f372]) ).
fof(f20663,plain,
( spl0_855
| ~ spl0_28
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4897,f4515,f4439,f375,f20661]) ).
fof(f20661,plain,
( spl0_855
<=> ! [X0] : skaf76(X0) = tl(app(sk3,skaf76(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).
fof(f4897,plain,
( ! [X0] : skaf76(X0) = tl(app(sk3,skaf76(X0)))
| ~ spl0_28
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4451,f4528]) ).
fof(f4451,plain,
( ! [X0] : skaf76(X0) = tl(cons(sk6,skaf76(X0)))
| ~ spl0_28
| ~ spl0_314 ),
inference(resolution,[],[f4440,f376]) ).
fof(f20659,plain,
( spl0_854
| ~ spl0_29
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4896,f4515,f4439,f379,f20657]) ).
fof(f20657,plain,
( spl0_854
<=> ! [X0] : skaf75(X0) = tl(app(sk3,skaf75(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).
fof(f4896,plain,
( ! [X0] : skaf75(X0) = tl(app(sk3,skaf75(X0)))
| ~ spl0_29
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4452,f4529]) ).
fof(f4452,plain,
( ! [X0] : skaf75(X0) = tl(cons(sk6,skaf75(X0)))
| ~ spl0_29
| ~ spl0_314 ),
inference(resolution,[],[f4440,f380]) ).
fof(f20655,plain,
( spl0_853
| ~ spl0_31
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4895,f4515,f4439,f387,f20653]) ).
fof(f20653,plain,
( spl0_853
<=> ! [X0] : skaf73(X0) = tl(app(sk3,skaf73(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).
fof(f4895,plain,
( ! [X0] : skaf73(X0) = tl(app(sk3,skaf73(X0)))
| ~ spl0_31
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4453,f4530]) ).
fof(f4453,plain,
( ! [X0] : skaf73(X0) = tl(cons(sk6,skaf73(X0)))
| ~ spl0_31
| ~ spl0_314 ),
inference(resolution,[],[f4440,f388]) ).
fof(f20651,plain,
( spl0_852
| ~ spl0_32
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4894,f4515,f4439,f391,f20649]) ).
fof(f20649,plain,
( spl0_852
<=> ! [X0] : skaf72(X0) = tl(app(sk3,skaf72(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).
fof(f4894,plain,
( ! [X0] : skaf72(X0) = tl(app(sk3,skaf72(X0)))
| ~ spl0_32
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4454,f4531]) ).
fof(f4454,plain,
( ! [X0] : skaf72(X0) = tl(cons(sk6,skaf72(X0)))
| ~ spl0_32
| ~ spl0_314 ),
inference(resolution,[],[f4440,f392]) ).
fof(f20647,plain,
( spl0_851
| ~ spl0_33
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4893,f4515,f4439,f395,f20645]) ).
fof(f20645,plain,
( spl0_851
<=> ! [X0] : skaf71(X0) = tl(app(sk3,skaf71(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).
fof(f4893,plain,
( ! [X0] : skaf71(X0) = tl(app(sk3,skaf71(X0)))
| ~ spl0_33
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4455,f4532]) ).
fof(f4455,plain,
( ! [X0] : skaf71(X0) = tl(cons(sk6,skaf71(X0)))
| ~ spl0_33
| ~ spl0_314 ),
inference(resolution,[],[f4440,f396]) ).
fof(f20643,plain,
( spl0_850
| ~ spl0_36
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4892,f4515,f4439,f407,f20641]) ).
fof(f20641,plain,
( spl0_850
<=> ! [X0] : skaf68(X0) = tl(app(sk3,skaf68(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).
fof(f4892,plain,
( ! [X0] : skaf68(X0) = tl(app(sk3,skaf68(X0)))
| ~ spl0_36
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4456,f4533]) ).
fof(f4456,plain,
( ! [X0] : skaf68(X0) = tl(cons(sk6,skaf68(X0)))
| ~ spl0_36
| ~ spl0_314 ),
inference(resolution,[],[f4440,f408]) ).
fof(f20639,plain,
( spl0_849
| ~ spl0_37
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4891,f4515,f4439,f411,f20637]) ).
fof(f20637,plain,
( spl0_849
<=> ! [X0] : skaf67(X0) = tl(app(sk3,skaf67(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).
fof(f4891,plain,
( ! [X0] : skaf67(X0) = tl(app(sk3,skaf67(X0)))
| ~ spl0_37
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4457,f4534]) ).
fof(f4457,plain,
( ! [X0] : skaf67(X0) = tl(cons(sk6,skaf67(X0)))
| ~ spl0_37
| ~ spl0_314 ),
inference(resolution,[],[f4440,f412]) ).
fof(f20635,plain,
( spl0_848
| ~ spl0_38
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4890,f4515,f4439,f415,f20633]) ).
fof(f20633,plain,
( spl0_848
<=> ! [X0] : skaf66(X0) = tl(app(sk3,skaf66(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).
fof(f4890,plain,
( ! [X0] : skaf66(X0) = tl(app(sk3,skaf66(X0)))
| ~ spl0_38
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4458,f4535]) ).
fof(f4458,plain,
( ! [X0] : skaf66(X0) = tl(cons(sk6,skaf66(X0)))
| ~ spl0_38
| ~ spl0_314 ),
inference(resolution,[],[f4440,f416]) ).
fof(f20631,plain,
( spl0_847
| ~ spl0_41
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4889,f4515,f4439,f427,f20629]) ).
fof(f20629,plain,
( spl0_847
<=> ! [X0] : skaf63(X0) = tl(app(sk3,skaf63(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).
fof(f4889,plain,
( ! [X0] : skaf63(X0) = tl(app(sk3,skaf63(X0)))
| ~ spl0_41
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4459,f4536]) ).
fof(f4459,plain,
( ! [X0] : skaf63(X0) = tl(cons(sk6,skaf63(X0)))
| ~ spl0_41
| ~ spl0_314 ),
inference(resolution,[],[f4440,f428]) ).
fof(f20627,plain,
( spl0_846
| ~ spl0_42
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4888,f4515,f4439,f431,f20625]) ).
fof(f20625,plain,
( spl0_846
<=> ! [X0] : skaf62(X0) = tl(app(sk3,skaf62(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).
fof(f4888,plain,
( ! [X0] : skaf62(X0) = tl(app(sk3,skaf62(X0)))
| ~ spl0_42
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4460,f4537]) ).
fof(f4460,plain,
( ! [X0] : skaf62(X0) = tl(cons(sk6,skaf62(X0)))
| ~ spl0_42
| ~ spl0_314 ),
inference(resolution,[],[f4440,f432]) ).
fof(f20623,plain,
( spl0_845
| ~ spl0_43
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4887,f4515,f4439,f435,f20621]) ).
fof(f20621,plain,
( spl0_845
<=> ! [X0] : skaf61(X0) = tl(app(sk3,skaf61(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).
fof(f4887,plain,
( ! [X0] : skaf61(X0) = tl(app(sk3,skaf61(X0)))
| ~ spl0_43
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4461,f4538]) ).
fof(f4461,plain,
( ! [X0] : skaf61(X0) = tl(cons(sk6,skaf61(X0)))
| ~ spl0_43
| ~ spl0_314 ),
inference(resolution,[],[f4440,f436]) ).
fof(f20619,plain,
( spl0_844
| ~ spl0_46
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4886,f4515,f4439,f447,f20617]) ).
fof(f20617,plain,
( spl0_844
<=> ! [X0] : skaf58(X0) = tl(app(sk3,skaf58(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).
fof(f4886,plain,
( ! [X0] : skaf58(X0) = tl(app(sk3,skaf58(X0)))
| ~ spl0_46
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4462,f4539]) ).
fof(f4462,plain,
( ! [X0] : skaf58(X0) = tl(cons(sk6,skaf58(X0)))
| ~ spl0_46
| ~ spl0_314 ),
inference(resolution,[],[f4440,f448]) ).
fof(f20615,plain,
( spl0_843
| ~ spl0_47
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4885,f4515,f4439,f451,f20613]) ).
fof(f20613,plain,
( spl0_843
<=> ! [X0] : skaf57(X0) = tl(app(sk3,skaf57(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).
fof(f4885,plain,
( ! [X0] : skaf57(X0) = tl(app(sk3,skaf57(X0)))
| ~ spl0_47
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4463,f4540]) ).
fof(f4463,plain,
( ! [X0] : skaf57(X0) = tl(cons(sk6,skaf57(X0)))
| ~ spl0_47
| ~ spl0_314 ),
inference(resolution,[],[f4440,f452]) ).
fof(f20611,plain,
( spl0_842
| ~ spl0_48
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4884,f4515,f4439,f455,f20609]) ).
fof(f20609,plain,
( spl0_842
<=> ! [X0] : skaf56(X0) = tl(app(sk3,skaf56(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).
fof(f4884,plain,
( ! [X0] : skaf56(X0) = tl(app(sk3,skaf56(X0)))
| ~ spl0_48
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4464,f4541]) ).
fof(f4464,plain,
( ! [X0] : skaf56(X0) = tl(cons(sk6,skaf56(X0)))
| ~ spl0_48
| ~ spl0_314 ),
inference(resolution,[],[f4440,f456]) ).
fof(f20607,plain,
( spl0_841
| ~ spl0_51
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4883,f4515,f4439,f467,f20605]) ).
fof(f20605,plain,
( spl0_841
<=> ! [X0] : skaf53(X0) = tl(app(sk3,skaf53(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).
fof(f4883,plain,
( ! [X0] : skaf53(X0) = tl(app(sk3,skaf53(X0)))
| ~ spl0_51
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4465,f4542]) ).
fof(f4465,plain,
( ! [X0] : skaf53(X0) = tl(cons(sk6,skaf53(X0)))
| ~ spl0_51
| ~ spl0_314 ),
inference(resolution,[],[f4440,f468]) ).
fof(f20603,plain,
( spl0_840
| ~ spl0_52
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4882,f4515,f4439,f471,f20601]) ).
fof(f20601,plain,
( spl0_840
<=> ! [X0] : skaf52(X0) = tl(app(sk3,skaf52(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).
fof(f4882,plain,
( ! [X0] : skaf52(X0) = tl(app(sk3,skaf52(X0)))
| ~ spl0_52
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4466,f4543]) ).
fof(f4466,plain,
( ! [X0] : skaf52(X0) = tl(cons(sk6,skaf52(X0)))
| ~ spl0_52
| ~ spl0_314 ),
inference(resolution,[],[f4440,f472]) ).
fof(f20599,plain,
( spl0_839
| ~ spl0_53
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4881,f4515,f4439,f475,f20597]) ).
fof(f20597,plain,
( spl0_839
<=> ! [X0] : skaf51(X0) = tl(app(sk3,skaf51(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).
fof(f4881,plain,
( ! [X0] : skaf51(X0) = tl(app(sk3,skaf51(X0)))
| ~ spl0_53
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4467,f4544]) ).
fof(f4467,plain,
( ! [X0] : skaf51(X0) = tl(cons(sk6,skaf51(X0)))
| ~ spl0_53
| ~ spl0_314 ),
inference(resolution,[],[f4440,f476]) ).
fof(f20544,plain,
( ~ spl0_17
| ~ spl0_72
| spl0_837 ),
inference(avatar_split_clause,[],[f20511,f20503,f554,f327]) ).
fof(f554,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f20511,plain,
( ~ ssList(nil)
| ~ spl0_72
| spl0_837 ),
inference(resolution,[],[f20505,f555]) ).
fof(f555,plain,
( ! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f20505,plain,
( ~ frontsegP(nil,nil)
| spl0_837 ),
inference(avatar_component_clause,[],[f20503]) ).
fof(f20510,plain,
( ~ spl0_17
| ~ spl0_837
| spl0_838
| ~ spl0_8
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2511,f2505,f281,f20507,f20503,f327]) ).
fof(f281,plain,
( spl0_8
<=> sk3 = cons(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2505,plain,
( spl0_225
<=> ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2511,plain,
( frontsegP(sk3,sk3)
| ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_225 ),
inference(superposition,[],[f2506,f283]) ).
fof(f283,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f2506,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f2505]) ).
fof(f20501,plain,
( spl0_836
| ~ spl0_53
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2320,f2220,f475,f20499]) ).
fof(f20499,plain,
( spl0_836
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf51(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).
fof(f2320,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf51(X0)))
| ~ spl0_53
| ~ spl0_216 ),
inference(resolution,[],[f2221,f476]) ).
fof(f20497,plain,
( spl0_835
| ~ spl0_52
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2319,f2220,f471,f20495]) ).
fof(f20495,plain,
( spl0_835
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf52(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).
fof(f2319,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf52(X0)))
| ~ spl0_52
| ~ spl0_216 ),
inference(resolution,[],[f2221,f472]) ).
fof(f20493,plain,
( spl0_834
| ~ spl0_51
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2318,f2220,f467,f20491]) ).
fof(f20491,plain,
( spl0_834
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf53(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).
fof(f2318,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf53(X0)))
| ~ spl0_51
| ~ spl0_216 ),
inference(resolution,[],[f2221,f468]) ).
fof(f20489,plain,
( spl0_833
| ~ spl0_48
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2317,f2220,f455,f20487]) ).
fof(f20487,plain,
( spl0_833
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf56(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).
fof(f2317,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf56(X0)))
| ~ spl0_48
| ~ spl0_216 ),
inference(resolution,[],[f2221,f456]) ).
fof(f20485,plain,
( spl0_832
| ~ spl0_47
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2316,f2220,f451,f20483]) ).
fof(f20483,plain,
( spl0_832
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf57(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).
fof(f2316,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf57(X0)))
| ~ spl0_47
| ~ spl0_216 ),
inference(resolution,[],[f2221,f452]) ).
fof(f20481,plain,
( spl0_831
| ~ spl0_46
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2315,f2220,f447,f20479]) ).
fof(f20479,plain,
( spl0_831
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf58(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).
fof(f2315,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf58(X0)))
| ~ spl0_46
| ~ spl0_216 ),
inference(resolution,[],[f2221,f448]) ).
fof(f20477,plain,
( spl0_830
| ~ spl0_43
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2314,f2220,f435,f20475]) ).
fof(f20475,plain,
( spl0_830
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf61(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).
fof(f2314,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf61(X0)))
| ~ spl0_43
| ~ spl0_216 ),
inference(resolution,[],[f2221,f436]) ).
fof(f20473,plain,
( spl0_829
| ~ spl0_42
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2313,f2220,f431,f20471]) ).
fof(f20471,plain,
( spl0_829
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf62(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).
fof(f2313,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf62(X0)))
| ~ spl0_42
| ~ spl0_216 ),
inference(resolution,[],[f2221,f432]) ).
fof(f20469,plain,
( spl0_828
| ~ spl0_41
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2312,f2220,f427,f20467]) ).
fof(f20467,plain,
( spl0_828
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf63(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).
fof(f2312,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf63(X0)))
| ~ spl0_41
| ~ spl0_216 ),
inference(resolution,[],[f2221,f428]) ).
fof(f20465,plain,
( spl0_827
| ~ spl0_38
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2311,f2220,f415,f20463]) ).
fof(f20463,plain,
( spl0_827
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf66(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).
fof(f2311,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf66(X0)))
| ~ spl0_38
| ~ spl0_216 ),
inference(resolution,[],[f2221,f416]) ).
fof(f20461,plain,
( spl0_826
| ~ spl0_37
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2310,f2220,f411,f20459]) ).
fof(f20459,plain,
( spl0_826
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf67(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).
fof(f2310,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf67(X0)))
| ~ spl0_37
| ~ spl0_216 ),
inference(resolution,[],[f2221,f412]) ).
fof(f20457,plain,
( spl0_825
| ~ spl0_36
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2309,f2220,f407,f20455]) ).
fof(f20455,plain,
( spl0_825
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf68(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).
fof(f2309,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf68(X0)))
| ~ spl0_36
| ~ spl0_216 ),
inference(resolution,[],[f2221,f408]) ).
fof(f20453,plain,
( spl0_824
| ~ spl0_33
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2308,f2220,f395,f20451]) ).
fof(f20451,plain,
( spl0_824
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf71(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).
fof(f2308,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf71(X0)))
| ~ spl0_33
| ~ spl0_216 ),
inference(resolution,[],[f2221,f396]) ).
fof(f20449,plain,
( spl0_823
| ~ spl0_32
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2307,f2220,f391,f20447]) ).
fof(f20447,plain,
( spl0_823
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf72(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).
fof(f2307,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf72(X0)))
| ~ spl0_32
| ~ spl0_216 ),
inference(resolution,[],[f2221,f392]) ).
fof(f20445,plain,
( spl0_822
| ~ spl0_31
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2306,f2220,f387,f20443]) ).
fof(f20443,plain,
( spl0_822
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf73(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).
fof(f2306,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf73(X0)))
| ~ spl0_31
| ~ spl0_216 ),
inference(resolution,[],[f2221,f388]) ).
fof(f20441,plain,
( spl0_821
| ~ spl0_29
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2305,f2220,f379,f20439]) ).
fof(f20439,plain,
( spl0_821
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf75(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).
fof(f2305,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf75(X0)))
| ~ spl0_29
| ~ spl0_216 ),
inference(resolution,[],[f2221,f380]) ).
fof(f20437,plain,
( spl0_820
| ~ spl0_28
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2304,f2220,f375,f20435]) ).
fof(f20435,plain,
( spl0_820
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf76(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).
fof(f2304,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf76(X0)))
| ~ spl0_28
| ~ spl0_216 ),
inference(resolution,[],[f2221,f376]) ).
fof(f20433,plain,
( spl0_819
| ~ spl0_27
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2303,f2220,f371,f20431]) ).
fof(f20431,plain,
( spl0_819
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf77(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).
fof(f2303,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf77(X0)))
| ~ spl0_27
| ~ spl0_216 ),
inference(resolution,[],[f2221,f372]) ).
fof(f20429,plain,
( spl0_818
| ~ spl0_24
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2302,f2220,f359,f20427]) ).
fof(f20427,plain,
( spl0_818
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf80(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).
fof(f2302,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf80(X0)))
| ~ spl0_24
| ~ spl0_216 ),
inference(resolution,[],[f2221,f360]) ).
fof(f20276,plain,
( spl0_4
| ~ spl0_317
| ~ spl0_815 ),
inference(avatar_split_clause,[],[f20230,f20033,f4519,f260]) ).
fof(f20033,plain,
( spl0_815
<=> sk4 = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).
fof(f20230,plain,
( nil = sk4
| ~ spl0_317
| ~ spl0_815 ),
inference(superposition,[],[f20035,f4521]) ).
fof(f20035,plain,
( sk4 = tl(sk3)
| ~ spl0_815 ),
inference(avatar_component_clause,[],[f20033]) ).
fof(f20229,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_817
| ~ spl0_9
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1996,f1356,f287,f20227,f250,f264]) ).
fof(f20227,plain,
( spl0_817
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| sk6 = X0
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).
fof(f287,plain,
( spl0_9
<=> sk3 = cons(sk6,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1356,plain,
( spl0_179
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1996,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk4)
| sk6 = X0
| memberP(sk4,X0)
| ~ ssItem(sk6) )
| ~ spl0_9
| ~ spl0_179 ),
inference(superposition,[],[f1357,f289]) ).
fof(f289,plain,
( sk3 = cons(sk6,sk4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f1357,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f20192,plain,
( spl0_816
| ~ spl0_31
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4321,f675,f387,f20190]) ).
fof(f20190,plain,
( spl0_816
<=> ! [X0] : duplicatefreeP(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).
fof(f4321,plain,
( ! [X0] : duplicatefreeP(skaf73(X0))
| ~ spl0_31
| ~ spl0_95 ),
inference(resolution,[],[f676,f388]) ).
fof(f20072,plain,
( spl0_575
| ~ spl0_9
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f19578,f8909,f287,f14201]) ).
fof(f14201,plain,
( spl0_575
<=> sk3 = app(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f19578,plain,
( sk3 = app(sk3,sk4)
| ~ spl0_9
| ~ spl0_431 ),
inference(superposition,[],[f8911,f289]) ).
fof(f20036,plain,
( spl0_815
| ~ spl0_9
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f19584,f5223,f287,f20033]) ).
fof(f5223,plain,
( spl0_329
<=> ! [X0] : sk4 = tl(cons(X0,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f19584,plain,
( sk4 = tl(sk3)
| ~ spl0_9
| ~ spl0_329 ),
inference(superposition,[],[f5224,f289]) ).
fof(f5224,plain,
( ! [X0] : sk4 = tl(cons(X0,sk4))
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f5223]) ).
fof(f19923,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_811 ),
inference(avatar_split_clause,[],[f19871,f19669,f269,f264]) ).
fof(f269,plain,
( spl0_6
<=> memberP(sk4,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f19669,plain,
( spl0_811
<=> ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).
fof(f19871,plain,
( ~ ssItem(sk6)
| ~ spl0_6
| ~ spl0_811 ),
inference(resolution,[],[f19670,f271]) ).
fof(f271,plain,
( memberP(sk4,sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f19670,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_811 ),
inference(avatar_component_clause,[],[f19669]) ).
fof(f19875,plain,
( spl0_814
| ~ spl0_4
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1971,f652,f260,f19873]) ).
fof(f19873,plain,
( spl0_814
<=> ! [X0] :
( strictorderedP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).
fof(f652,plain,
( spl0_89
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1971,plain,
( ! [X0] :
( strictorderedP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_89 ),
inference(superposition,[],[f653,f262]) ).
fof(f262,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f653,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f19738,plain,
( spl0_813
| ~ spl0_23
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2301,f2220,f355,f19736]) ).
fof(f19736,plain,
( spl0_813
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf81(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).
fof(f2301,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf81(X0)))
| ~ spl0_23
| ~ spl0_216 ),
inference(resolution,[],[f2221,f356]) ).
fof(f19734,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_17
| ~ spl0_102
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19680,f3110,f771,f327,f250,f260]) ).
fof(f3110,plain,
( spl0_261
<=> ! [X0] :
( frontsegP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f19680,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_102
| ~ spl0_261 ),
inference(resolution,[],[f3111,f772]) ).
fof(f3111,plain,
( ! [X0] :
( frontsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f19731,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_812
| ~ spl0_9
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1995,f1281,f287,f19729,f250,f264]) ).
fof(f1281,plain,
( spl0_171
<=> ! [X0,X1,X3] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1995,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ frontsegP(sk4,X0)
| ~ ssItem(sk6) )
| ~ spl0_9
| ~ spl0_171 ),
inference(superposition,[],[f1282,f289]) ).
fof(f1282,plain,
( ! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f19671,plain,
( spl0_811
| ~ spl0_4
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f619,f570,f260,f19669]) ).
fof(f619,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_76 ),
inference(superposition,[],[f571,f262]) ).
fof(f19466,plain,
( spl0_810
| ~ spl0_22
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2300,f2220,f351,f19464]) ).
fof(f19464,plain,
( spl0_810
<=> ! [X0] : hd(sk4) = hd(app(sk4,skaf82(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f2300,plain,
( ! [X0] : hd(sk4) = hd(app(sk4,skaf82(X0)))
| ~ spl0_22
| ~ spl0_216 ),
inference(resolution,[],[f2221,f352]) ).
fof(f19461,plain,
( spl0_809
| ~ spl0_53
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2207,f2183,f475,f19459]) ).
fof(f19459,plain,
( spl0_809
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf51(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f2207,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf51(X0)))
| ~ spl0_53
| ~ spl0_215 ),
inference(resolution,[],[f2184,f476]) ).
fof(f19456,plain,
( spl0_808
| ~ spl0_52
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2206,f2183,f471,f19454]) ).
fof(f19454,plain,
( spl0_808
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf52(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f2206,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf52(X0)))
| ~ spl0_52
| ~ spl0_215 ),
inference(resolution,[],[f2184,f472]) ).
fof(f19451,plain,
( spl0_807
| ~ spl0_51
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2205,f2183,f467,f19449]) ).
fof(f19449,plain,
( spl0_807
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf53(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f2205,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf53(X0)))
| ~ spl0_51
| ~ spl0_215 ),
inference(resolution,[],[f2184,f468]) ).
fof(f19446,plain,
( spl0_806
| ~ spl0_48
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2204,f2183,f455,f19444]) ).
fof(f19444,plain,
( spl0_806
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf56(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f2204,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf56(X0)))
| ~ spl0_48
| ~ spl0_215 ),
inference(resolution,[],[f2184,f456]) ).
fof(f19367,plain,
( spl0_805
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1497,f1454,f1438,f19365]) ).
fof(f19365,plain,
( spl0_805
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X0),X3))
| app(app(X2,X0),X3) = app(app(skaf47(app(app(X2,X0),X3),X1),X1),skaf48(X1,app(app(X2,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f1438,plain,
( spl0_180
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1454,plain,
( spl0_184
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1497,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X0),X3))
| app(app(X2,X0),X3) = app(app(skaf47(app(app(X2,X0),X3),X1),X1),skaf48(X1,app(app(X2,X0),X3))) )
| ~ spl0_180
| ~ spl0_184 ),
inference(duplicate_literal_removal,[],[f1492]) ).
fof(f1492,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X0),X3))
| ~ ssList(X1)
| app(app(X2,X0),X3) = app(app(skaf47(app(app(X2,X0),X3),X1),X1),skaf48(X1,app(app(X2,X0),X3))) )
| ~ spl0_180
| ~ spl0_184 ),
inference(resolution,[],[f1455,f1439]) ).
fof(f1439,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1455,plain,
( ! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f19362,plain,
( spl0_804
| ~ spl0_47
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2203,f2183,f451,f19360]) ).
fof(f19360,plain,
( spl0_804
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf57(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f2203,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf57(X0)))
| ~ spl0_47
| ~ spl0_215 ),
inference(resolution,[],[f2184,f452]) ).
fof(f18496,plain,
( spl0_803
| ~ spl0_46
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2202,f2183,f447,f18494]) ).
fof(f18494,plain,
( spl0_803
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf58(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f2202,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf58(X0)))
| ~ spl0_46
| ~ spl0_215 ),
inference(resolution,[],[f2184,f448]) ).
fof(f18159,plain,
( spl0_802
| ~ spl0_103
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f1818,f1809,f775,f18157]) ).
fof(f18157,plain,
( spl0_802
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderP(app(app(X2,cons(X1,X3)),cons(X0,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X3)
| leq(X1,X0)
| leq(X0,X1)
| ~ ssList(app(X2,cons(X1,X3)))
| ~ ssList(cons(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f1809,plain,
( spl0_206
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1818,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderP(app(app(X2,cons(X1,X3)),cons(X0,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X3)
| leq(X1,X0)
| leq(X0,X1)
| ~ ssList(app(X2,cons(X1,X3)))
| ~ ssList(cons(X0,X4)) )
| ~ spl0_103
| ~ spl0_206 ),
inference(resolution,[],[f1810,f776]) ).
fof(f1810,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f18155,plain,
( spl0_801
| ~ spl0_103
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f1815,f1805,f775,f18153]) ).
fof(f18153,plain,
( spl0_801
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ strictorderP(app(app(X2,cons(X1,X3)),cons(X0,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X3)
| lt(X1,X0)
| lt(X0,X1)
| ~ ssList(app(X2,cons(X1,X3)))
| ~ ssList(cons(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f1805,plain,
( spl0_205
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1815,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ strictorderP(app(app(X2,cons(X1,X3)),cons(X0,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X3)
| lt(X1,X0)
| lt(X0,X1)
| ~ ssList(app(X2,cons(X1,X3)))
| ~ ssList(cons(X0,X4)) )
| ~ spl0_103
| ~ spl0_205 ),
inference(resolution,[],[f1806,f776]) ).
fof(f1806,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f18151,plain,
( spl0_800
| ~ spl0_103
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f1812,f1801,f775,f18149]) ).
fof(f18149,plain,
( spl0_800
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f1801,plain,
( spl0_204
<=> ! [X2,X4,X0,X3,X1] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1812,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) )
| ~ spl0_103
| ~ spl0_204 ),
inference(resolution,[],[f1802,f776]) ).
fof(f1802,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f18147,plain,
( spl0_799
| ~ spl0_103
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1757,f1555,f775,f18145]) ).
fof(f18145,plain,
( spl0_799
<=> ! [X0,X1] :
( cyclefreeP(app(X0,X1))
| app(X0,X1) = app(app(skaf51(app(X0,X1)),cons(skaf49(app(X0,X1)),skaf52(app(X0,X1)))),cons(skaf50(app(X0,X1)),skaf53(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f1555,plain,
( spl0_196
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1757,plain,
( ! [X0,X1] :
( cyclefreeP(app(X0,X1))
| app(X0,X1) = app(app(skaf51(app(X0,X1)),cons(skaf49(app(X0,X1)),skaf52(app(X0,X1)))),cons(skaf50(app(X0,X1)),skaf53(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_196 ),
inference(resolution,[],[f1556,f776]) ).
fof(f1556,plain,
( ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f18143,plain,
( spl0_798
| ~ spl0_104
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1756,f1555,f779,f18141]) ).
fof(f18141,plain,
( spl0_798
<=> ! [X0,X1] :
( cyclefreeP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf51(cons(X0,X1)),cons(skaf49(cons(X0,X1)),skaf52(cons(X0,X1)))),cons(skaf50(cons(X0,X1)),skaf53(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f1756,plain,
( ! [X0,X1] :
( cyclefreeP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf51(cons(X0,X1)),cons(skaf49(cons(X0,X1)),skaf52(cons(X0,X1)))),cons(skaf50(cons(X0,X1)),skaf53(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_196 ),
inference(resolution,[],[f1556,f780]) ).
fof(f18138,plain,
( spl0_797
| ~ spl0_43
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2201,f2183,f435,f18136]) ).
fof(f18136,plain,
( spl0_797
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf61(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f2201,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf61(X0)))
| ~ spl0_43
| ~ spl0_215 ),
inference(resolution,[],[f2184,f436]) ).
fof(f18134,plain,
( spl0_796
| ~ spl0_103
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1724,f1551,f775,f18132]) ).
fof(f18132,plain,
( spl0_796
<=> ! [X0,X1] :
( totalorderP(app(X0,X1))
| app(X0,X1) = app(app(skaf56(app(X0,X1)),cons(skaf54(app(X0,X1)),skaf57(app(X0,X1)))),cons(skaf55(app(X0,X1)),skaf58(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f1551,plain,
( spl0_195
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( totalorderP(app(X0,X1))
| app(X0,X1) = app(app(skaf56(app(X0,X1)),cons(skaf54(app(X0,X1)),skaf57(app(X0,X1)))),cons(skaf55(app(X0,X1)),skaf58(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_195 ),
inference(resolution,[],[f1552,f776]) ).
fof(f1552,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f18130,plain,
( spl0_795
| ~ spl0_104
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1723,f1551,f779,f18128]) ).
fof(f18128,plain,
( spl0_795
<=> ! [X0,X1] :
( totalorderP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf56(cons(X0,X1)),cons(skaf54(cons(X0,X1)),skaf57(cons(X0,X1)))),cons(skaf55(cons(X0,X1)),skaf58(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f1723,plain,
( ! [X0,X1] :
( totalorderP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf56(cons(X0,X1)),cons(skaf54(cons(X0,X1)),skaf57(cons(X0,X1)))),cons(skaf55(cons(X0,X1)),skaf58(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_195 ),
inference(resolution,[],[f1552,f780]) ).
fof(f18126,plain,
( spl0_794
| ~ spl0_103
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1686,f1547,f775,f18124]) ).
fof(f18124,plain,
( spl0_794
<=> ! [X0,X1] :
( strictorderP(app(X0,X1))
| app(X0,X1) = app(app(skaf61(app(X0,X1)),cons(skaf59(app(X0,X1)),skaf62(app(X0,X1)))),cons(skaf60(app(X0,X1)),skaf63(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f1547,plain,
( spl0_194
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1686,plain,
( ! [X0,X1] :
( strictorderP(app(X0,X1))
| app(X0,X1) = app(app(skaf61(app(X0,X1)),cons(skaf59(app(X0,X1)),skaf62(app(X0,X1)))),cons(skaf60(app(X0,X1)),skaf63(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_194 ),
inference(resolution,[],[f1548,f776]) ).
fof(f1548,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f18122,plain,
( spl0_793
| ~ spl0_104
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1685,f1547,f779,f18120]) ).
fof(f18120,plain,
( spl0_793
<=> ! [X0,X1] :
( strictorderP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf61(cons(X0,X1)),cons(skaf59(cons(X0,X1)),skaf62(cons(X0,X1)))),cons(skaf60(cons(X0,X1)),skaf63(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f1685,plain,
( ! [X0,X1] :
( strictorderP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf61(cons(X0,X1)),cons(skaf59(cons(X0,X1)),skaf62(cons(X0,X1)))),cons(skaf60(cons(X0,X1)),skaf63(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_194 ),
inference(resolution,[],[f1548,f780]) ).
fof(f18118,plain,
( spl0_792
| ~ spl0_103
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1653,f1543,f775,f18116]) ).
fof(f18116,plain,
( spl0_792
<=> ! [X0,X1] :
( totalorderedP(app(X0,X1))
| app(X0,X1) = app(app(skaf66(app(X0,X1)),cons(skaf64(app(X0,X1)),skaf67(app(X0,X1)))),cons(skaf65(app(X0,X1)),skaf68(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f1543,plain,
( spl0_193
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( totalorderedP(app(X0,X1))
| app(X0,X1) = app(app(skaf66(app(X0,X1)),cons(skaf64(app(X0,X1)),skaf67(app(X0,X1)))),cons(skaf65(app(X0,X1)),skaf68(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_193 ),
inference(resolution,[],[f1544,f776]) ).
fof(f1544,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f18114,plain,
( spl0_791
| ~ spl0_104
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1652,f1543,f779,f18112]) ).
fof(f18112,plain,
( spl0_791
<=> ! [X0,X1] :
( totalorderedP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf66(cons(X0,X1)),cons(skaf64(cons(X0,X1)),skaf67(cons(X0,X1)))),cons(skaf65(cons(X0,X1)),skaf68(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f1652,plain,
( ! [X0,X1] :
( totalorderedP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf66(cons(X0,X1)),cons(skaf64(cons(X0,X1)),skaf67(cons(X0,X1)))),cons(skaf65(cons(X0,X1)),skaf68(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_193 ),
inference(resolution,[],[f1544,f780]) ).
fof(f18110,plain,
( spl0_790
| ~ spl0_103
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1620,f1539,f775,f18108]) ).
fof(f18108,plain,
( spl0_790
<=> ! [X0,X1] :
( strictorderedP(app(X0,X1))
| app(X0,X1) = app(app(skaf71(app(X0,X1)),cons(skaf69(app(X0,X1)),skaf72(app(X0,X1)))),cons(skaf70(app(X0,X1)),skaf73(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f1539,plain,
( spl0_192
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( strictorderedP(app(X0,X1))
| app(X0,X1) = app(app(skaf71(app(X0,X1)),cons(skaf69(app(X0,X1)),skaf72(app(X0,X1)))),cons(skaf70(app(X0,X1)),skaf73(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_192 ),
inference(resolution,[],[f1540,f776]) ).
fof(f1540,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f18106,plain,
( spl0_789
| ~ spl0_104
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1619,f1539,f779,f18104]) ).
fof(f18104,plain,
( spl0_789
<=> ! [X0,X1] :
( strictorderedP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf71(cons(X0,X1)),cons(skaf69(cons(X0,X1)),skaf72(cons(X0,X1)))),cons(skaf70(cons(X0,X1)),skaf73(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f1619,plain,
( ! [X0,X1] :
( strictorderedP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf71(cons(X0,X1)),cons(skaf69(cons(X0,X1)),skaf72(cons(X0,X1)))),cons(skaf70(cons(X0,X1)),skaf73(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_192 ),
inference(resolution,[],[f1540,f780]) ).
fof(f18102,plain,
( spl0_788
| ~ spl0_103
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1587,f1535,f775,f18100]) ).
fof(f18100,plain,
( spl0_788
<=> ! [X0,X1] :
( duplicatefreeP(app(X0,X1))
| app(X0,X1) = app(app(skaf75(app(X0,X1)),cons(skaf74(app(X0,X1)),skaf76(app(X0,X1)))),cons(skaf74(app(X0,X1)),skaf77(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f1535,plain,
( spl0_191
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1587,plain,
( ! [X0,X1] :
( duplicatefreeP(app(X0,X1))
| app(X0,X1) = app(app(skaf75(app(X0,X1)),cons(skaf74(app(X0,X1)),skaf76(app(X0,X1)))),cons(skaf74(app(X0,X1)),skaf77(app(X0,X1))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_191 ),
inference(resolution,[],[f1536,f776]) ).
fof(f1536,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f18098,plain,
( spl0_787
| ~ spl0_104
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1586,f1535,f779,f18096]) ).
fof(f18096,plain,
( spl0_787
<=> ! [X0,X1] :
( duplicatefreeP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf75(cons(X0,X1)),cons(skaf74(cons(X0,X1)),skaf76(cons(X0,X1)))),cons(skaf74(cons(X0,X1)),skaf77(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f1586,plain,
( ! [X0,X1] :
( duplicatefreeP(cons(X0,X1))
| cons(X0,X1) = app(app(skaf75(cons(X0,X1)),cons(skaf74(cons(X0,X1)),skaf76(cons(X0,X1)))),cons(skaf74(cons(X0,X1)),skaf77(cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_191 ),
inference(resolution,[],[f1536,f780]) ).
fof(f18093,plain,
( spl0_786
| ~ spl0_42
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2200,f2183,f431,f18091]) ).
fof(f18091,plain,
( spl0_786
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf62(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f2200,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf62(X0)))
| ~ spl0_42
| ~ spl0_215 ),
inference(resolution,[],[f2184,f432]) ).
fof(f17912,plain,
( spl0_785
| ~ spl0_180
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1528,f1515,f1438,f17910]) ).
fof(f17910,plain,
( spl0_785
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(app(skaf47(app(app(X0,X1),X2),X1),X1),skaf48(X1,app(app(X0,X1),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f1528,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(app(skaf47(app(app(X0,X1),X2),X1),X1),skaf48(X1,app(app(X0,X1),X2))) )
| ~ spl0_180
| ~ spl0_189 ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| app(app(X0,X1),X2) = app(app(skaf47(app(app(X0,X1),X2),X1),X1),skaf48(X1,app(app(X0,X1),X2))) )
| ~ spl0_180
| ~ spl0_189 ),
inference(resolution,[],[f1516,f1439]) ).
fof(f17908,plain,
( spl0_784
| ~ spl0_181
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1521,f1511,f1442,f17906]) ).
fof(f17906,plain,
( spl0_784
<=> ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| app(X0,cons(X1,X2)) = app(skaf42(app(X0,cons(X1,X2)),X1),cons(X1,skaf43(X1,app(X0,cons(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f1511,plain,
( spl0_188
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1521,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| app(X0,cons(X1,X2)) = app(skaf42(app(X0,cons(X1,X2)),X1),cons(X1,skaf43(X1,app(X0,cons(X1,X2))))) )
| ~ spl0_181
| ~ spl0_188 ),
inference(duplicate_literal_removal,[],[f1519]) ).
fof(f1519,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| app(X0,cons(X1,X2)) = app(skaf42(app(X0,cons(X1,X2)),X1),cons(X1,skaf43(X1,app(X0,cons(X1,X2))))) )
| ~ spl0_181
| ~ spl0_188 ),
inference(resolution,[],[f1512,f1443]) ).
fof(f1512,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f17642,plain,
( spl0_783
| ~ spl0_103
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f1797,f1786,f775,f17640]) ).
fof(f17640,plain,
( spl0_783
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| leq(X0,X1)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f1786,plain,
( spl0_202
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1797,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| leq(X0,X1)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) )
| ~ spl0_103
| ~ spl0_202 ),
inference(resolution,[],[f1787,f776]) ).
fof(f1787,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f17638,plain,
( spl0_782
| ~ spl0_103
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f1794,f1782,f775,f17636]) ).
fof(f17636,plain,
( spl0_782
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| lt(X0,X1)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f1782,plain,
( spl0_201
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f1794,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| lt(X0,X1)
| ~ ssList(app(X2,cons(X0,X3)))
| ~ ssList(cons(X1,X4)) )
| ~ spl0_103
| ~ spl0_201 ),
inference(resolution,[],[f1783,f776]) ).
fof(f1783,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f17633,plain,
( spl0_781
| ~ spl0_41
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2199,f2183,f427,f17631]) ).
fof(f17631,plain,
( spl0_781
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf63(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f2199,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf63(X0)))
| ~ spl0_41
| ~ spl0_215 ),
inference(resolution,[],[f2184,f428]) ).
fof(f17620,plain,
( spl0_780
| ~ spl0_38
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2198,f2183,f415,f17618]) ).
fof(f17618,plain,
( spl0_780
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf66(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f2198,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf66(X0)))
| ~ spl0_38
| ~ spl0_215 ),
inference(resolution,[],[f2184,f416]) ).
fof(f17607,plain,
( spl0_779
| ~ spl0_37
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2197,f2183,f411,f17605]) ).
fof(f17605,plain,
( spl0_779
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf67(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f2197,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf67(X0)))
| ~ spl0_37
| ~ spl0_215 ),
inference(resolution,[],[f2184,f412]) ).
fof(f17598,plain,
( spl0_778
| ~ spl0_36
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2196,f2183,f407,f17596]) ).
fof(f17596,plain,
( spl0_778
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf68(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f2196,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf68(X0)))
| ~ spl0_36
| ~ spl0_215 ),
inference(resolution,[],[f2184,f408]) ).
fof(f17521,plain,
( spl0_777
| ~ spl0_64
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1755,f1555,f521,f17519]) ).
fof(f17519,plain,
( spl0_777
<=> ! [X0,X1] :
( cyclefreeP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf51(skaf42(X0,X1)),cons(skaf49(skaf42(X0,X1)),skaf52(skaf42(X0,X1)))),cons(skaf50(skaf42(X0,X1)),skaf53(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f1755,plain,
( ! [X0,X1] :
( cyclefreeP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf51(skaf42(X0,X1)),cons(skaf49(skaf42(X0,X1)),skaf52(skaf42(X0,X1)))),cons(skaf50(skaf42(X0,X1)),skaf53(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_196 ),
inference(resolution,[],[f1556,f522]) ).
fof(f17517,plain,
( spl0_776
| ~ spl0_63
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1754,f1555,f517,f17515]) ).
fof(f17515,plain,
( spl0_776
<=> ! [X0,X1] :
( cyclefreeP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf51(skaf43(X0,X1)),cons(skaf49(skaf43(X0,X1)),skaf52(skaf43(X0,X1)))),cons(skaf50(skaf43(X0,X1)),skaf53(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f1754,plain,
( ! [X0,X1] :
( cyclefreeP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf51(skaf43(X0,X1)),cons(skaf49(skaf43(X0,X1)),skaf52(skaf43(X0,X1)))),cons(skaf50(skaf43(X0,X1)),skaf53(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_196 ),
inference(resolution,[],[f1556,f518]) ).
fof(f17513,plain,
( spl0_775
| ~ spl0_62
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1753,f1555,f513,f17511]) ).
fof(f17511,plain,
( spl0_775
<=> ! [X0,X1] :
( cyclefreeP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf51(skaf45(X0,X1)),cons(skaf49(skaf45(X0,X1)),skaf52(skaf45(X0,X1)))),cons(skaf50(skaf45(X0,X1)),skaf53(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f1753,plain,
( ! [X0,X1] :
( cyclefreeP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf51(skaf45(X0,X1)),cons(skaf49(skaf45(X0,X1)),skaf52(skaf45(X0,X1)))),cons(skaf50(skaf45(X0,X1)),skaf53(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_196 ),
inference(resolution,[],[f1556,f514]) ).
fof(f17509,plain,
( spl0_774
| ~ spl0_61
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1752,f1555,f509,f17507]) ).
fof(f17507,plain,
( spl0_774
<=> ! [X0,X1] :
( cyclefreeP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf51(skaf46(X0,X1)),cons(skaf49(skaf46(X0,X1)),skaf52(skaf46(X0,X1)))),cons(skaf50(skaf46(X0,X1)),skaf53(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f1752,plain,
( ! [X0,X1] :
( cyclefreeP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf51(skaf46(X0,X1)),cons(skaf49(skaf46(X0,X1)),skaf52(skaf46(X0,X1)))),cons(skaf50(skaf46(X0,X1)),skaf53(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_196 ),
inference(resolution,[],[f1556,f510]) ).
fof(f17505,plain,
( spl0_773
| ~ spl0_60
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1751,f1555,f505,f17503]) ).
fof(f17503,plain,
( spl0_773
<=> ! [X0,X1] :
( cyclefreeP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf51(skaf47(X0,X1)),cons(skaf49(skaf47(X0,X1)),skaf52(skaf47(X0,X1)))),cons(skaf50(skaf47(X0,X1)),skaf53(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f1751,plain,
( ! [X0,X1] :
( cyclefreeP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf51(skaf47(X0,X1)),cons(skaf49(skaf47(X0,X1)),skaf52(skaf47(X0,X1)))),cons(skaf50(skaf47(X0,X1)),skaf53(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_196 ),
inference(resolution,[],[f1556,f506]) ).
fof(f17500,plain,
( spl0_772
| ~ spl0_33
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2195,f2183,f395,f17498]) ).
fof(f17498,plain,
( spl0_772
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf71(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f2195,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf71(X0)))
| ~ spl0_33
| ~ spl0_215 ),
inference(resolution,[],[f2184,f396]) ).
fof(f17496,plain,
( spl0_771
| ~ spl0_59
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1750,f1555,f501,f17494]) ).
fof(f17494,plain,
( spl0_771
<=> ! [X0,X1] :
( cyclefreeP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf51(skaf48(X0,X1)),cons(skaf49(skaf48(X0,X1)),skaf52(skaf48(X0,X1)))),cons(skaf50(skaf48(X0,X1)),skaf53(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f1750,plain,
( ! [X0,X1] :
( cyclefreeP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf51(skaf48(X0,X1)),cons(skaf49(skaf48(X0,X1)),skaf52(skaf48(X0,X1)))),cons(skaf50(skaf48(X0,X1)),skaf53(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_196 ),
inference(resolution,[],[f1556,f502]) ).
fof(f17492,plain,
( spl0_770
| ~ spl0_64
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1722,f1551,f521,f17490]) ).
fof(f17490,plain,
( spl0_770
<=> ! [X0,X1] :
( totalorderP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf56(skaf42(X0,X1)),cons(skaf54(skaf42(X0,X1)),skaf57(skaf42(X0,X1)))),cons(skaf55(skaf42(X0,X1)),skaf58(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f1722,plain,
( ! [X0,X1] :
( totalorderP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf56(skaf42(X0,X1)),cons(skaf54(skaf42(X0,X1)),skaf57(skaf42(X0,X1)))),cons(skaf55(skaf42(X0,X1)),skaf58(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_195 ),
inference(resolution,[],[f1552,f522]) ).
fof(f17488,plain,
( spl0_769
| ~ spl0_63
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1721,f1551,f517,f17486]) ).
fof(f17486,plain,
( spl0_769
<=> ! [X0,X1] :
( totalorderP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf56(skaf43(X0,X1)),cons(skaf54(skaf43(X0,X1)),skaf57(skaf43(X0,X1)))),cons(skaf55(skaf43(X0,X1)),skaf58(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f1721,plain,
( ! [X0,X1] :
( totalorderP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf56(skaf43(X0,X1)),cons(skaf54(skaf43(X0,X1)),skaf57(skaf43(X0,X1)))),cons(skaf55(skaf43(X0,X1)),skaf58(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_195 ),
inference(resolution,[],[f1552,f518]) ).
fof(f17484,plain,
( spl0_768
| ~ spl0_62
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1720,f1551,f513,f17482]) ).
fof(f17482,plain,
( spl0_768
<=> ! [X0,X1] :
( totalorderP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf56(skaf45(X0,X1)),cons(skaf54(skaf45(X0,X1)),skaf57(skaf45(X0,X1)))),cons(skaf55(skaf45(X0,X1)),skaf58(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f1720,plain,
( ! [X0,X1] :
( totalorderP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf56(skaf45(X0,X1)),cons(skaf54(skaf45(X0,X1)),skaf57(skaf45(X0,X1)))),cons(skaf55(skaf45(X0,X1)),skaf58(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_195 ),
inference(resolution,[],[f1552,f514]) ).
fof(f17480,plain,
( spl0_767
| ~ spl0_61
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1719,f1551,f509,f17478]) ).
fof(f17478,plain,
( spl0_767
<=> ! [X0,X1] :
( totalorderP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf56(skaf46(X0,X1)),cons(skaf54(skaf46(X0,X1)),skaf57(skaf46(X0,X1)))),cons(skaf55(skaf46(X0,X1)),skaf58(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f1719,plain,
( ! [X0,X1] :
( totalorderP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf56(skaf46(X0,X1)),cons(skaf54(skaf46(X0,X1)),skaf57(skaf46(X0,X1)))),cons(skaf55(skaf46(X0,X1)),skaf58(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_195 ),
inference(resolution,[],[f1552,f510]) ).
fof(f17476,plain,
( spl0_766
| ~ spl0_60
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1718,f1551,f505,f17474]) ).
fof(f17474,plain,
( spl0_766
<=> ! [X0,X1] :
( totalorderP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf56(skaf47(X0,X1)),cons(skaf54(skaf47(X0,X1)),skaf57(skaf47(X0,X1)))),cons(skaf55(skaf47(X0,X1)),skaf58(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f1718,plain,
( ! [X0,X1] :
( totalorderP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf56(skaf47(X0,X1)),cons(skaf54(skaf47(X0,X1)),skaf57(skaf47(X0,X1)))),cons(skaf55(skaf47(X0,X1)),skaf58(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_195 ),
inference(resolution,[],[f1552,f506]) ).
fof(f17472,plain,
( spl0_765
| ~ spl0_59
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1717,f1551,f501,f17470]) ).
fof(f17470,plain,
( spl0_765
<=> ! [X0,X1] :
( totalorderP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf56(skaf48(X0,X1)),cons(skaf54(skaf48(X0,X1)),skaf57(skaf48(X0,X1)))),cons(skaf55(skaf48(X0,X1)),skaf58(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f1717,plain,
( ! [X0,X1] :
( totalorderP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf56(skaf48(X0,X1)),cons(skaf54(skaf48(X0,X1)),skaf57(skaf48(X0,X1)))),cons(skaf55(skaf48(X0,X1)),skaf58(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_195 ),
inference(resolution,[],[f1552,f502]) ).
fof(f17468,plain,
( spl0_764
| ~ spl0_64
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1684,f1547,f521,f17466]) ).
fof(f17466,plain,
( spl0_764
<=> ! [X0,X1] :
( strictorderP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf61(skaf42(X0,X1)),cons(skaf59(skaf42(X0,X1)),skaf62(skaf42(X0,X1)))),cons(skaf60(skaf42(X0,X1)),skaf63(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f1684,plain,
( ! [X0,X1] :
( strictorderP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf61(skaf42(X0,X1)),cons(skaf59(skaf42(X0,X1)),skaf62(skaf42(X0,X1)))),cons(skaf60(skaf42(X0,X1)),skaf63(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_194 ),
inference(resolution,[],[f1548,f522]) ).
fof(f17464,plain,
( spl0_763
| ~ spl0_63
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1683,f1547,f517,f17462]) ).
fof(f17462,plain,
( spl0_763
<=> ! [X0,X1] :
( strictorderP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf61(skaf43(X0,X1)),cons(skaf59(skaf43(X0,X1)),skaf62(skaf43(X0,X1)))),cons(skaf60(skaf43(X0,X1)),skaf63(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f1683,plain,
( ! [X0,X1] :
( strictorderP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf61(skaf43(X0,X1)),cons(skaf59(skaf43(X0,X1)),skaf62(skaf43(X0,X1)))),cons(skaf60(skaf43(X0,X1)),skaf63(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_194 ),
inference(resolution,[],[f1548,f518]) ).
fof(f17460,plain,
( spl0_762
| ~ spl0_62
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1682,f1547,f513,f17458]) ).
fof(f17458,plain,
( spl0_762
<=> ! [X0,X1] :
( strictorderP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf61(skaf45(X0,X1)),cons(skaf59(skaf45(X0,X1)),skaf62(skaf45(X0,X1)))),cons(skaf60(skaf45(X0,X1)),skaf63(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f1682,plain,
( ! [X0,X1] :
( strictorderP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf61(skaf45(X0,X1)),cons(skaf59(skaf45(X0,X1)),skaf62(skaf45(X0,X1)))),cons(skaf60(skaf45(X0,X1)),skaf63(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_194 ),
inference(resolution,[],[f1548,f514]) ).
fof(f17455,plain,
( spl0_761
| ~ spl0_32
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2194,f2183,f391,f17453]) ).
fof(f17453,plain,
( spl0_761
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf72(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f2194,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf72(X0)))
| ~ spl0_32
| ~ spl0_215 ),
inference(resolution,[],[f2184,f392]) ).
fof(f17451,plain,
( spl0_760
| ~ spl0_61
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1681,f1547,f509,f17449]) ).
fof(f17449,plain,
( spl0_760
<=> ! [X0,X1] :
( strictorderP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf61(skaf46(X0,X1)),cons(skaf59(skaf46(X0,X1)),skaf62(skaf46(X0,X1)))),cons(skaf60(skaf46(X0,X1)),skaf63(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( strictorderP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf61(skaf46(X0,X1)),cons(skaf59(skaf46(X0,X1)),skaf62(skaf46(X0,X1)))),cons(skaf60(skaf46(X0,X1)),skaf63(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_194 ),
inference(resolution,[],[f1548,f510]) ).
fof(f17447,plain,
( spl0_759
| ~ spl0_60
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1680,f1547,f505,f17445]) ).
fof(f17445,plain,
( spl0_759
<=> ! [X0,X1] :
( strictorderP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf61(skaf47(X0,X1)),cons(skaf59(skaf47(X0,X1)),skaf62(skaf47(X0,X1)))),cons(skaf60(skaf47(X0,X1)),skaf63(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( strictorderP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf61(skaf47(X0,X1)),cons(skaf59(skaf47(X0,X1)),skaf62(skaf47(X0,X1)))),cons(skaf60(skaf47(X0,X1)),skaf63(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_194 ),
inference(resolution,[],[f1548,f506]) ).
fof(f17443,plain,
( spl0_758
| ~ spl0_59
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1679,f1547,f501,f17441]) ).
fof(f17441,plain,
( spl0_758
<=> ! [X0,X1] :
( strictorderP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf61(skaf48(X0,X1)),cons(skaf59(skaf48(X0,X1)),skaf62(skaf48(X0,X1)))),cons(skaf60(skaf48(X0,X1)),skaf63(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( strictorderP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf61(skaf48(X0,X1)),cons(skaf59(skaf48(X0,X1)),skaf62(skaf48(X0,X1)))),cons(skaf60(skaf48(X0,X1)),skaf63(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_194 ),
inference(resolution,[],[f1548,f502]) ).
fof(f17439,plain,
( spl0_757
| ~ spl0_64
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1651,f1543,f521,f17437]) ).
fof(f17437,plain,
( spl0_757
<=> ! [X0,X1] :
( totalorderedP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf66(skaf42(X0,X1)),cons(skaf64(skaf42(X0,X1)),skaf67(skaf42(X0,X1)))),cons(skaf65(skaf42(X0,X1)),skaf68(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f1651,plain,
( ! [X0,X1] :
( totalorderedP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf66(skaf42(X0,X1)),cons(skaf64(skaf42(X0,X1)),skaf67(skaf42(X0,X1)))),cons(skaf65(skaf42(X0,X1)),skaf68(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_193 ),
inference(resolution,[],[f1544,f522]) ).
fof(f17435,plain,
( spl0_756
| ~ spl0_63
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1650,f1543,f517,f17433]) ).
fof(f17433,plain,
( spl0_756
<=> ! [X0,X1] :
( totalorderedP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf66(skaf43(X0,X1)),cons(skaf64(skaf43(X0,X1)),skaf67(skaf43(X0,X1)))),cons(skaf65(skaf43(X0,X1)),skaf68(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f1650,plain,
( ! [X0,X1] :
( totalorderedP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf66(skaf43(X0,X1)),cons(skaf64(skaf43(X0,X1)),skaf67(skaf43(X0,X1)))),cons(skaf65(skaf43(X0,X1)),skaf68(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_193 ),
inference(resolution,[],[f1544,f518]) ).
fof(f17431,plain,
( spl0_755
| ~ spl0_62
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1649,f1543,f513,f17429]) ).
fof(f17429,plain,
( spl0_755
<=> ! [X0,X1] :
( totalorderedP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf66(skaf45(X0,X1)),cons(skaf64(skaf45(X0,X1)),skaf67(skaf45(X0,X1)))),cons(skaf65(skaf45(X0,X1)),skaf68(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f1649,plain,
( ! [X0,X1] :
( totalorderedP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf66(skaf45(X0,X1)),cons(skaf64(skaf45(X0,X1)),skaf67(skaf45(X0,X1)))),cons(skaf65(skaf45(X0,X1)),skaf68(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_193 ),
inference(resolution,[],[f1544,f514]) ).
fof(f17427,plain,
( spl0_754
| ~ spl0_61
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1648,f1543,f509,f17425]) ).
fof(f17425,plain,
( spl0_754
<=> ! [X0,X1] :
( totalorderedP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf66(skaf46(X0,X1)),cons(skaf64(skaf46(X0,X1)),skaf67(skaf46(X0,X1)))),cons(skaf65(skaf46(X0,X1)),skaf68(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f1648,plain,
( ! [X0,X1] :
( totalorderedP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf66(skaf46(X0,X1)),cons(skaf64(skaf46(X0,X1)),skaf67(skaf46(X0,X1)))),cons(skaf65(skaf46(X0,X1)),skaf68(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_193 ),
inference(resolution,[],[f1544,f510]) ).
fof(f17423,plain,
( spl0_753
| ~ spl0_60
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1647,f1543,f505,f17421]) ).
fof(f17421,plain,
( spl0_753
<=> ! [X0,X1] :
( totalorderedP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf66(skaf47(X0,X1)),cons(skaf64(skaf47(X0,X1)),skaf67(skaf47(X0,X1)))),cons(skaf65(skaf47(X0,X1)),skaf68(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f1647,plain,
( ! [X0,X1] :
( totalorderedP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf66(skaf47(X0,X1)),cons(skaf64(skaf47(X0,X1)),skaf67(skaf47(X0,X1)))),cons(skaf65(skaf47(X0,X1)),skaf68(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_193 ),
inference(resolution,[],[f1544,f506]) ).
fof(f17419,plain,
( spl0_752
| ~ spl0_59
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1646,f1543,f501,f17417]) ).
fof(f17417,plain,
( spl0_752
<=> ! [X0,X1] :
( totalorderedP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf66(skaf48(X0,X1)),cons(skaf64(skaf48(X0,X1)),skaf67(skaf48(X0,X1)))),cons(skaf65(skaf48(X0,X1)),skaf68(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f1646,plain,
( ! [X0,X1] :
( totalorderedP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf66(skaf48(X0,X1)),cons(skaf64(skaf48(X0,X1)),skaf67(skaf48(X0,X1)))),cons(skaf65(skaf48(X0,X1)),skaf68(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_193 ),
inference(resolution,[],[f1544,f502]) ).
fof(f17415,plain,
( spl0_751
| ~ spl0_64
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1618,f1539,f521,f17413]) ).
fof(f17413,plain,
( spl0_751
<=> ! [X0,X1] :
( strictorderedP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf71(skaf42(X0,X1)),cons(skaf69(skaf42(X0,X1)),skaf72(skaf42(X0,X1)))),cons(skaf70(skaf42(X0,X1)),skaf73(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( strictorderedP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf71(skaf42(X0,X1)),cons(skaf69(skaf42(X0,X1)),skaf72(skaf42(X0,X1)))),cons(skaf70(skaf42(X0,X1)),skaf73(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_192 ),
inference(resolution,[],[f1540,f522]) ).
fof(f17410,plain,
( spl0_750
| ~ spl0_31
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2193,f2183,f387,f17408]) ).
fof(f17408,plain,
( spl0_750
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf73(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f2193,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf73(X0)))
| ~ spl0_31
| ~ spl0_215 ),
inference(resolution,[],[f2184,f388]) ).
fof(f17406,plain,
( spl0_749
| ~ spl0_63
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1617,f1539,f517,f17404]) ).
fof(f17404,plain,
( spl0_749
<=> ! [X0,X1] :
( strictorderedP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf71(skaf43(X0,X1)),cons(skaf69(skaf43(X0,X1)),skaf72(skaf43(X0,X1)))),cons(skaf70(skaf43(X0,X1)),skaf73(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f1617,plain,
( ! [X0,X1] :
( strictorderedP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf71(skaf43(X0,X1)),cons(skaf69(skaf43(X0,X1)),skaf72(skaf43(X0,X1)))),cons(skaf70(skaf43(X0,X1)),skaf73(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_192 ),
inference(resolution,[],[f1540,f518]) ).
fof(f17402,plain,
( spl0_748
| ~ spl0_62
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1616,f1539,f513,f17400]) ).
fof(f17400,plain,
( spl0_748
<=> ! [X0,X1] :
( strictorderedP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf71(skaf45(X0,X1)),cons(skaf69(skaf45(X0,X1)),skaf72(skaf45(X0,X1)))),cons(skaf70(skaf45(X0,X1)),skaf73(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f1616,plain,
( ! [X0,X1] :
( strictorderedP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf71(skaf45(X0,X1)),cons(skaf69(skaf45(X0,X1)),skaf72(skaf45(X0,X1)))),cons(skaf70(skaf45(X0,X1)),skaf73(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_192 ),
inference(resolution,[],[f1540,f514]) ).
fof(f17398,plain,
( spl0_747
| ~ spl0_61
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1615,f1539,f509,f17396]) ).
fof(f17396,plain,
( spl0_747
<=> ! [X0,X1] :
( strictorderedP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf71(skaf46(X0,X1)),cons(skaf69(skaf46(X0,X1)),skaf72(skaf46(X0,X1)))),cons(skaf70(skaf46(X0,X1)),skaf73(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f1615,plain,
( ! [X0,X1] :
( strictorderedP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf71(skaf46(X0,X1)),cons(skaf69(skaf46(X0,X1)),skaf72(skaf46(X0,X1)))),cons(skaf70(skaf46(X0,X1)),skaf73(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_192 ),
inference(resolution,[],[f1540,f510]) ).
fof(f17394,plain,
( spl0_746
| ~ spl0_60
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1614,f1539,f505,f17392]) ).
fof(f17392,plain,
( spl0_746
<=> ! [X0,X1] :
( strictorderedP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf71(skaf47(X0,X1)),cons(skaf69(skaf47(X0,X1)),skaf72(skaf47(X0,X1)))),cons(skaf70(skaf47(X0,X1)),skaf73(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( strictorderedP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf71(skaf47(X0,X1)),cons(skaf69(skaf47(X0,X1)),skaf72(skaf47(X0,X1)))),cons(skaf70(skaf47(X0,X1)),skaf73(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_192 ),
inference(resolution,[],[f1540,f506]) ).
fof(f17390,plain,
( spl0_745
| ~ spl0_59
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1613,f1539,f501,f17388]) ).
fof(f17388,plain,
( spl0_745
<=> ! [X0,X1] :
( strictorderedP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf71(skaf48(X0,X1)),cons(skaf69(skaf48(X0,X1)),skaf72(skaf48(X0,X1)))),cons(skaf70(skaf48(X0,X1)),skaf73(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f1613,plain,
( ! [X0,X1] :
( strictorderedP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf71(skaf48(X0,X1)),cons(skaf69(skaf48(X0,X1)),skaf72(skaf48(X0,X1)))),cons(skaf70(skaf48(X0,X1)),skaf73(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_192 ),
inference(resolution,[],[f1540,f502]) ).
fof(f17386,plain,
( spl0_744
| ~ spl0_64
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1585,f1535,f521,f17384]) ).
fof(f17384,plain,
( spl0_744
<=> ! [X0,X1] :
( duplicatefreeP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf75(skaf42(X0,X1)),cons(skaf74(skaf42(X0,X1)),skaf76(skaf42(X0,X1)))),cons(skaf74(skaf42(X0,X1)),skaf77(skaf42(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f1585,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf42(X0,X1))
| skaf42(X0,X1) = app(app(skaf75(skaf42(X0,X1)),cons(skaf74(skaf42(X0,X1)),skaf76(skaf42(X0,X1)))),cons(skaf74(skaf42(X0,X1)),skaf77(skaf42(X0,X1)))) )
| ~ spl0_64
| ~ spl0_191 ),
inference(resolution,[],[f1536,f522]) ).
fof(f17382,plain,
( spl0_743
| ~ spl0_63
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1584,f1535,f517,f17380]) ).
fof(f17380,plain,
( spl0_743
<=> ! [X0,X1] :
( duplicatefreeP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf75(skaf43(X0,X1)),cons(skaf74(skaf43(X0,X1)),skaf76(skaf43(X0,X1)))),cons(skaf74(skaf43(X0,X1)),skaf77(skaf43(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f1584,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf43(X0,X1))
| skaf43(X0,X1) = app(app(skaf75(skaf43(X0,X1)),cons(skaf74(skaf43(X0,X1)),skaf76(skaf43(X0,X1)))),cons(skaf74(skaf43(X0,X1)),skaf77(skaf43(X0,X1)))) )
| ~ spl0_63
| ~ spl0_191 ),
inference(resolution,[],[f1536,f518]) ).
fof(f17378,plain,
( spl0_742
| ~ spl0_62
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1583,f1535,f513,f17376]) ).
fof(f17376,plain,
( spl0_742
<=> ! [X0,X1] :
( duplicatefreeP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf75(skaf45(X0,X1)),cons(skaf74(skaf45(X0,X1)),skaf76(skaf45(X0,X1)))),cons(skaf74(skaf45(X0,X1)),skaf77(skaf45(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f1583,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf45(X0,X1))
| skaf45(X0,X1) = app(app(skaf75(skaf45(X0,X1)),cons(skaf74(skaf45(X0,X1)),skaf76(skaf45(X0,X1)))),cons(skaf74(skaf45(X0,X1)),skaf77(skaf45(X0,X1)))) )
| ~ spl0_62
| ~ spl0_191 ),
inference(resolution,[],[f1536,f514]) ).
fof(f17374,plain,
( spl0_741
| ~ spl0_61
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1582,f1535,f509,f17372]) ).
fof(f17372,plain,
( spl0_741
<=> ! [X0,X1] :
( duplicatefreeP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf75(skaf46(X0,X1)),cons(skaf74(skaf46(X0,X1)),skaf76(skaf46(X0,X1)))),cons(skaf74(skaf46(X0,X1)),skaf77(skaf46(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f1582,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf46(X0,X1))
| skaf46(X0,X1) = app(app(skaf75(skaf46(X0,X1)),cons(skaf74(skaf46(X0,X1)),skaf76(skaf46(X0,X1)))),cons(skaf74(skaf46(X0,X1)),skaf77(skaf46(X0,X1)))) )
| ~ spl0_61
| ~ spl0_191 ),
inference(resolution,[],[f1536,f510]) ).
fof(f17370,plain,
( spl0_740
| ~ spl0_60
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1581,f1535,f505,f17368]) ).
fof(f17368,plain,
( spl0_740
<=> ! [X0,X1] :
( duplicatefreeP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf75(skaf47(X0,X1)),cons(skaf74(skaf47(X0,X1)),skaf76(skaf47(X0,X1)))),cons(skaf74(skaf47(X0,X1)),skaf77(skaf47(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f1581,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf47(X0,X1))
| skaf47(X0,X1) = app(app(skaf75(skaf47(X0,X1)),cons(skaf74(skaf47(X0,X1)),skaf76(skaf47(X0,X1)))),cons(skaf74(skaf47(X0,X1)),skaf77(skaf47(X0,X1)))) )
| ~ spl0_60
| ~ spl0_191 ),
inference(resolution,[],[f1536,f506]) ).
fof(f17365,plain,
( spl0_739
| ~ spl0_29
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2192,f2183,f379,f17363]) ).
fof(f17363,plain,
( spl0_739
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf75(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f2192,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf75(X0)))
| ~ spl0_29
| ~ spl0_215 ),
inference(resolution,[],[f2184,f380]) ).
fof(f17361,plain,
( spl0_738
| ~ spl0_59
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1580,f1535,f501,f17359]) ).
fof(f17359,plain,
( spl0_738
<=> ! [X0,X1] :
( duplicatefreeP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf75(skaf48(X0,X1)),cons(skaf74(skaf48(X0,X1)),skaf76(skaf48(X0,X1)))),cons(skaf74(skaf48(X0,X1)),skaf77(skaf48(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f1580,plain,
( ! [X0,X1] :
( duplicatefreeP(skaf48(X0,X1))
| skaf48(X0,X1) = app(app(skaf75(skaf48(X0,X1)),cons(skaf74(skaf48(X0,X1)),skaf76(skaf48(X0,X1)))),cons(skaf74(skaf48(X0,X1)),skaf77(skaf48(X0,X1)))) )
| ~ spl0_59
| ~ spl0_191 ),
inference(resolution,[],[f1536,f502]) ).
fof(f17357,plain,
( spl0_737
| ~ spl0_150
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1322,f1281,f1107,f17355]) ).
fof(f17355,plain,
( spl0_737
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| cons(X2,X1) = app(cons(X2,X0),skaf45(cons(X2,X1),cons(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f1107,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1322,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| cons(X2,X1) = app(cons(X2,X0),skaf45(cons(X2,X1),cons(X2,X0))) )
| ~ spl0_150
| ~ spl0_171 ),
inference(resolution,[],[f1282,f1108]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f17002,plain,
( spl0_736
| ~ spl0_141
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1495,f1454,f1037,f17000]) ).
fof(f17000,plain,
( spl0_736
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X0),X3))
| ~ segmentP(X1,app(app(X2,X0),X3))
| app(app(X2,X0),X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f1037,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1495,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X0),X3))
| ~ segmentP(X1,app(app(X2,X0),X3))
| app(app(X2,X0),X3) = X1 )
| ~ spl0_141
| ~ spl0_184 ),
inference(duplicate_literal_removal,[],[f1494]) ).
fof(f1494,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X0),X3))
| ~ segmentP(X1,app(app(X2,X0),X3))
| app(app(X2,X0),X3) = X1 )
| ~ spl0_141
| ~ spl0_184 ),
inference(resolution,[],[f1455,f1038]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f16998,plain,
( spl0_735
| ~ spl0_103
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1388,f1327,f775,f16996]) ).
fof(f16996,plain,
( spl0_735
<=> ! [X0,X1] :
( equalelemsP(app(X0,X1))
| app(X0,X1) = app(skaf80(app(X0,X1)),cons(skaf78(app(X0,X1)),cons(skaf79(app(X0,X1)),skaf81(app(X0,X1)))))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f1327,plain,
( spl0_172
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1388,plain,
( ! [X0,X1] :
( equalelemsP(app(X0,X1))
| app(X0,X1) = app(skaf80(app(X0,X1)),cons(skaf78(app(X0,X1)),cons(skaf79(app(X0,X1)),skaf81(app(X0,X1)))))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_172 ),
inference(resolution,[],[f1328,f776]) ).
fof(f1328,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f16994,plain,
( spl0_734
| ~ spl0_104
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1387,f1327,f779,f16992]) ).
fof(f16992,plain,
( spl0_734
<=> ! [X0,X1] :
( equalelemsP(cons(X0,X1))
| cons(X0,X1) = app(skaf80(cons(X0,X1)),cons(skaf78(cons(X0,X1)),cons(skaf79(cons(X0,X1)),skaf81(cons(X0,X1)))))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f1387,plain,
( ! [X0,X1] :
( equalelemsP(cons(X0,X1))
| cons(X0,X1) = app(skaf80(cons(X0,X1)),cons(skaf78(cons(X0,X1)),cons(skaf79(cons(X0,X1)),skaf81(cons(X0,X1)))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_172 ),
inference(resolution,[],[f1328,f780]) ).
fof(f16990,plain,
( spl0_733
| ~ spl0_143
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1323,f1281,f1045,f16988]) ).
fof(f16988,plain,
( spl0_733
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ frontsegP(cons(X2,X0),cons(X2,X1))
| cons(X2,X0) = cons(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f1045,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1323,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ frontsegP(cons(X2,X0),cons(X2,X1))
| cons(X2,X0) = cons(X2,X1) )
| ~ spl0_143
| ~ spl0_171 ),
inference(resolution,[],[f1282,f1046]) ).
fof(f1046,plain,
( ! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f16985,plain,
( spl0_732
| ~ spl0_28
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2191,f2183,f375,f16983]) ).
fof(f16983,plain,
( spl0_732
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf76(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f2191,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf76(X0)))
| ~ spl0_28
| ~ spl0_215 ),
inference(resolution,[],[f2184,f376]) ).
fof(f16615,plain,
( spl0_731
| ~ spl0_99
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1758,f1555,f759,f16613]) ).
fof(f16613,plain,
( spl0_731
<=> ! [X0] :
( cyclefreeP(tl(X0))
| tl(X0) = app(app(skaf51(tl(X0)),cons(skaf49(tl(X0)),skaf52(tl(X0)))),cons(skaf50(tl(X0)),skaf53(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f1758,plain,
( ! [X0] :
( cyclefreeP(tl(X0))
| tl(X0) = app(app(skaf51(tl(X0)),cons(skaf49(tl(X0)),skaf52(tl(X0)))),cons(skaf50(tl(X0)),skaf53(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_196 ),
inference(resolution,[],[f1556,f760]) ).
fof(f16575,plain,
( spl0_730
| ~ spl0_99
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1725,f1551,f759,f16573]) ).
fof(f16573,plain,
( spl0_730
<=> ! [X0] :
( totalorderP(tl(X0))
| tl(X0) = app(app(skaf56(tl(X0)),cons(skaf54(tl(X0)),skaf57(tl(X0)))),cons(skaf55(tl(X0)),skaf58(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f1725,plain,
( ! [X0] :
( totalorderP(tl(X0))
| tl(X0) = app(app(skaf56(tl(X0)),cons(skaf54(tl(X0)),skaf57(tl(X0)))),cons(skaf55(tl(X0)),skaf58(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_195 ),
inference(resolution,[],[f1552,f760]) ).
fof(f16571,plain,
( spl0_729
| ~ spl0_99
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1687,f1547,f759,f16569]) ).
fof(f16569,plain,
( spl0_729
<=> ! [X0] :
( strictorderP(tl(X0))
| tl(X0) = app(app(skaf61(tl(X0)),cons(skaf59(tl(X0)),skaf62(tl(X0)))),cons(skaf60(tl(X0)),skaf63(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f1687,plain,
( ! [X0] :
( strictorderP(tl(X0))
| tl(X0) = app(app(skaf61(tl(X0)),cons(skaf59(tl(X0)),skaf62(tl(X0)))),cons(skaf60(tl(X0)),skaf63(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_194 ),
inference(resolution,[],[f1548,f760]) ).
fof(f16567,plain,
( spl0_728
| ~ spl0_99
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1654,f1543,f759,f16565]) ).
fof(f16565,plain,
( spl0_728
<=> ! [X0] :
( totalorderedP(tl(X0))
| tl(X0) = app(app(skaf66(tl(X0)),cons(skaf64(tl(X0)),skaf67(tl(X0)))),cons(skaf65(tl(X0)),skaf68(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f1654,plain,
( ! [X0] :
( totalorderedP(tl(X0))
| tl(X0) = app(app(skaf66(tl(X0)),cons(skaf64(tl(X0)),skaf67(tl(X0)))),cons(skaf65(tl(X0)),skaf68(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_193 ),
inference(resolution,[],[f1544,f760]) ).
fof(f16563,plain,
( spl0_727
| ~ spl0_99
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1621,f1539,f759,f16561]) ).
fof(f16561,plain,
( spl0_727
<=> ! [X0] :
( strictorderedP(tl(X0))
| tl(X0) = app(app(skaf71(tl(X0)),cons(skaf69(tl(X0)),skaf72(tl(X0)))),cons(skaf70(tl(X0)),skaf73(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f1621,plain,
( ! [X0] :
( strictorderedP(tl(X0))
| tl(X0) = app(app(skaf71(tl(X0)),cons(skaf69(tl(X0)),skaf72(tl(X0)))),cons(skaf70(tl(X0)),skaf73(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_192 ),
inference(resolution,[],[f1540,f760]) ).
fof(f16559,plain,
( spl0_726
| ~ spl0_99
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1588,f1535,f759,f16557]) ).
fof(f16557,plain,
( spl0_726
<=> ! [X0] :
( duplicatefreeP(tl(X0))
| tl(X0) = app(app(skaf75(tl(X0)),cons(skaf74(tl(X0)),skaf76(tl(X0)))),cons(skaf74(tl(X0)),skaf77(tl(X0))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f1588,plain,
( ! [X0] :
( duplicatefreeP(tl(X0))
| tl(X0) = app(app(skaf75(tl(X0)),cons(skaf74(tl(X0)),skaf76(tl(X0)))),cons(skaf74(tl(X0)),skaf77(tl(X0))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_191 ),
inference(resolution,[],[f1536,f760]) ).
fof(f16555,plain,
( spl0_725
| ~ spl0_153
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1482,f1442,f1119,f16553]) ).
fof(f16553,plain,
( spl0_725
<=> ! [X2,X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X2)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X2),cons(X2,skaf43(X2,cons(X0,X1))))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f1482,plain,
( ! [X2,X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X2)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X2),cons(X2,skaf43(X2,cons(X0,X1))))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2) )
| ~ spl0_153
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f1477]) ).
fof(f1477,plain,
( ! [X2,X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X2)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X2),cons(X2,skaf43(X2,cons(X0,X1))))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X2) )
| ~ spl0_153
| ~ spl0_181 ),
inference(resolution,[],[f1443,f1120]) ).
fof(f16551,plain,
( spl0_724
| ~ spl0_156
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1481,f1442,f1132,f16549]) ).
fof(f16549,plain,
( spl0_724
<=> ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f1132,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1481,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,X2) )
| ~ spl0_156
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f1478]) ).
fof(f1478,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2) )
| ~ spl0_156
| ~ spl0_181 ),
inference(resolution,[],[f1443,f1133]) ).
fof(f1133,plain,
( ! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f16547,plain,
( spl0_723
| ~ spl0_155
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1480,f1442,f1128,f16545]) ).
fof(f16545,plain,
( spl0_723
<=> ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f1128,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1480,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) )
| ~ spl0_155
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f1479]) ).
fof(f1479,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssItem(X2)
| app(X0,X1) = app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1))))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2)
| ~ ssItem(X2) )
| ~ spl0_155
| ~ spl0_181 ),
inference(resolution,[],[f1443,f1129]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f16353,plain,
( spl0_722
| ~ spl0_162
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1496,f1454,f1212,f16351]) ).
fof(f16351,plain,
( spl0_722
<=> ! [X4,X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(app(app(X2,X0),X3))
| ~ segmentP(X4,app(app(X2,X0),X3))
| segmentP(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f1212,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1496,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(app(app(X2,X0),X3))
| ~ segmentP(X4,app(app(X2,X0),X3))
| segmentP(X4,X1) )
| ~ spl0_162
| ~ spl0_184 ),
inference(duplicate_literal_removal,[],[f1493]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(app(app(X2,X0),X3))
| ~ ssList(X1)
| ~ segmentP(X4,app(app(X2,X0),X3))
| segmentP(X4,X1) )
| ~ spl0_162
| ~ spl0_184 ),
inference(resolution,[],[f1455,f1213]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f16349,plain,
( spl0_721
| ~ spl0_164
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1321,f1281,f1220,f16347]) ).
fof(f16347,plain,
( spl0_721
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X3,cons(X2,X1))
| frontsegP(X3,cons(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f1220,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1321,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X3,cons(X2,X1))
| frontsegP(X3,cons(X2,X0)) )
| ~ spl0_164
| ~ spl0_171 ),
inference(resolution,[],[f1282,f1221]) ).
fof(f1221,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f16212,plain,
( spl0_720
| ~ spl0_103
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f1778,f1775,f775,f16210]) ).
fof(f16210,plain,
( spl0_720
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ duplicatefreeP(app(app(X1,cons(X0,X2)),cons(X0,X3)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X0,X2)))
| ~ ssList(cons(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f1775,plain,
( spl0_200
<=> ! [X0,X3,X2,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ duplicatefreeP(app(app(X1,cons(X0,X2)),cons(X0,X3)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X0,X2)))
| ~ ssList(cons(X0,X3)) )
| ~ spl0_103
| ~ spl0_200 ),
inference(resolution,[],[f1776,f776]) ).
fof(f1776,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f16169,plain,
( spl0_719
| ~ spl0_64
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1386,f1327,f521,f16167]) ).
fof(f16167,plain,
( spl0_719
<=> ! [X0,X1] :
( equalelemsP(skaf42(X0,X1))
| skaf42(X0,X1) = app(skaf80(skaf42(X0,X1)),cons(skaf78(skaf42(X0,X1)),cons(skaf79(skaf42(X0,X1)),skaf81(skaf42(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f1386,plain,
( ! [X0,X1] :
( equalelemsP(skaf42(X0,X1))
| skaf42(X0,X1) = app(skaf80(skaf42(X0,X1)),cons(skaf78(skaf42(X0,X1)),cons(skaf79(skaf42(X0,X1)),skaf81(skaf42(X0,X1))))) )
| ~ spl0_64
| ~ spl0_172 ),
inference(resolution,[],[f1328,f522]) ).
fof(f16165,plain,
( spl0_718
| ~ spl0_63
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1385,f1327,f517,f16163]) ).
fof(f16163,plain,
( spl0_718
<=> ! [X0,X1] :
( equalelemsP(skaf43(X0,X1))
| skaf43(X0,X1) = app(skaf80(skaf43(X0,X1)),cons(skaf78(skaf43(X0,X1)),cons(skaf79(skaf43(X0,X1)),skaf81(skaf43(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f1385,plain,
( ! [X0,X1] :
( equalelemsP(skaf43(X0,X1))
| skaf43(X0,X1) = app(skaf80(skaf43(X0,X1)),cons(skaf78(skaf43(X0,X1)),cons(skaf79(skaf43(X0,X1)),skaf81(skaf43(X0,X1))))) )
| ~ spl0_63
| ~ spl0_172 ),
inference(resolution,[],[f1328,f518]) ).
fof(f16161,plain,
( spl0_717
| ~ spl0_62
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1384,f1327,f513,f16159]) ).
fof(f16159,plain,
( spl0_717
<=> ! [X0,X1] :
( equalelemsP(skaf45(X0,X1))
| skaf45(X0,X1) = app(skaf80(skaf45(X0,X1)),cons(skaf78(skaf45(X0,X1)),cons(skaf79(skaf45(X0,X1)),skaf81(skaf45(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f1384,plain,
( ! [X0,X1] :
( equalelemsP(skaf45(X0,X1))
| skaf45(X0,X1) = app(skaf80(skaf45(X0,X1)),cons(skaf78(skaf45(X0,X1)),cons(skaf79(skaf45(X0,X1)),skaf81(skaf45(X0,X1))))) )
| ~ spl0_62
| ~ spl0_172 ),
inference(resolution,[],[f1328,f514]) ).
fof(f16157,plain,
( spl0_716
| ~ spl0_61
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1383,f1327,f509,f16155]) ).
fof(f16155,plain,
( spl0_716
<=> ! [X0,X1] :
( equalelemsP(skaf46(X0,X1))
| skaf46(X0,X1) = app(skaf80(skaf46(X0,X1)),cons(skaf78(skaf46(X0,X1)),cons(skaf79(skaf46(X0,X1)),skaf81(skaf46(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f1383,plain,
( ! [X0,X1] :
( equalelemsP(skaf46(X0,X1))
| skaf46(X0,X1) = app(skaf80(skaf46(X0,X1)),cons(skaf78(skaf46(X0,X1)),cons(skaf79(skaf46(X0,X1)),skaf81(skaf46(X0,X1))))) )
| ~ spl0_61
| ~ spl0_172 ),
inference(resolution,[],[f1328,f510]) ).
fof(f16153,plain,
( spl0_715
| ~ spl0_60
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1382,f1327,f505,f16151]) ).
fof(f16151,plain,
( spl0_715
<=> ! [X0,X1] :
( equalelemsP(skaf47(X0,X1))
| skaf47(X0,X1) = app(skaf80(skaf47(X0,X1)),cons(skaf78(skaf47(X0,X1)),cons(skaf79(skaf47(X0,X1)),skaf81(skaf47(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f1382,plain,
( ! [X0,X1] :
( equalelemsP(skaf47(X0,X1))
| skaf47(X0,X1) = app(skaf80(skaf47(X0,X1)),cons(skaf78(skaf47(X0,X1)),cons(skaf79(skaf47(X0,X1)),skaf81(skaf47(X0,X1))))) )
| ~ spl0_60
| ~ spl0_172 ),
inference(resolution,[],[f1328,f506]) ).
fof(f16149,plain,
( spl0_714
| ~ spl0_59
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1381,f1327,f501,f16147]) ).
fof(f16147,plain,
( spl0_714
<=> ! [X0,X1] :
( equalelemsP(skaf48(X0,X1))
| skaf48(X0,X1) = app(skaf80(skaf48(X0,X1)),cons(skaf78(skaf48(X0,X1)),cons(skaf79(skaf48(X0,X1)),skaf81(skaf48(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f1381,plain,
( ! [X0,X1] :
( equalelemsP(skaf48(X0,X1))
| skaf48(X0,X1) = app(skaf80(skaf48(X0,X1)),cons(skaf78(skaf48(X0,X1)),cons(skaf79(skaf48(X0,X1)),skaf81(skaf48(X0,X1))))) )
| ~ spl0_59
| ~ spl0_172 ),
inference(resolution,[],[f1328,f502]) ).
fof(f16071,plain,
( spl0_713
| ~ spl0_141
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1526,f1515,f1037,f16069]) ).
fof(f16069,plain,
( spl0_713
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,app(app(X0,X1),X2))
| app(app(X0,X1),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f1526,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,app(app(X0,X1),X2))
| app(app(X0,X1),X2) = X1 )
| ~ spl0_141
| ~ spl0_189 ),
inference(duplicate_literal_removal,[],[f1525]) ).
fof(f1525,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ segmentP(X1,app(app(X0,X1),X2))
| app(app(X0,X1),X2) = X1 )
| ~ spl0_141
| ~ spl0_189 ),
inference(resolution,[],[f1516,f1038]) ).
fof(f16067,plain,
( spl0_712
| ~ spl0_99
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1389,f1327,f759,f16065]) ).
fof(f16065,plain,
( spl0_712
<=> ! [X0] :
( equalelemsP(tl(X0))
| tl(X0) = app(skaf80(tl(X0)),cons(skaf78(tl(X0)),cons(skaf79(tl(X0)),skaf81(tl(X0)))))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f1389,plain,
( ! [X0] :
( equalelemsP(tl(X0))
| tl(X0) = app(skaf80(tl(X0)),cons(skaf78(tl(X0)),cons(skaf79(tl(X0)),skaf81(tl(X0)))))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_172 ),
inference(resolution,[],[f1328,f760]) ).
fof(f15802,plain,
( spl0_711
| ~ spl0_103
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f1773,f1768,f775,f15800]) ).
fof(f15800,plain,
( spl0_711
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X2,cons(X1,cons(X0,X3))))
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssList(cons(X1,cons(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f1768,plain,
( spl0_199
<=> ! [X0,X3,X2,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1773,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X2,cons(X1,cons(X0,X3))))
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssList(cons(X1,cons(X0,X3))) )
| ~ spl0_103
| ~ spl0_199 ),
inference(duplicate_literal_removal,[],[f1771]) ).
fof(f1771,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X2,cons(X1,cons(X0,X3))))
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssList(X2)
| ~ ssList(cons(X1,cons(X0,X3))) )
| ~ spl0_103
| ~ spl0_199 ),
inference(resolution,[],[f1769,f776]) ).
fof(f1769,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f15798,plain,
( spl0_710
| ~ spl0_53
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1749,f1555,f475,f15796]) ).
fof(f15796,plain,
( spl0_710
<=> ! [X0] :
( cyclefreeP(skaf51(X0))
| skaf51(X0) = app(app(skaf51(skaf51(X0)),cons(skaf49(skaf51(X0)),skaf52(skaf51(X0)))),cons(skaf50(skaf51(X0)),skaf53(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f1749,plain,
( ! [X0] :
( cyclefreeP(skaf51(X0))
| skaf51(X0) = app(app(skaf51(skaf51(X0)),cons(skaf49(skaf51(X0)),skaf52(skaf51(X0)))),cons(skaf50(skaf51(X0)),skaf53(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_196 ),
inference(resolution,[],[f1556,f476]) ).
fof(f15794,plain,
( spl0_709
| ~ spl0_52
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1748,f1555,f471,f15792]) ).
fof(f15792,plain,
( spl0_709
<=> ! [X0] :
( cyclefreeP(skaf52(X0))
| skaf52(X0) = app(app(skaf51(skaf52(X0)),cons(skaf49(skaf52(X0)),skaf52(skaf52(X0)))),cons(skaf50(skaf52(X0)),skaf53(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f1748,plain,
( ! [X0] :
( cyclefreeP(skaf52(X0))
| skaf52(X0) = app(app(skaf51(skaf52(X0)),cons(skaf49(skaf52(X0)),skaf52(skaf52(X0)))),cons(skaf50(skaf52(X0)),skaf53(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_196 ),
inference(resolution,[],[f1556,f472]) ).
fof(f15790,plain,
( spl0_708
| ~ spl0_51
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1747,f1555,f467,f15788]) ).
fof(f15788,plain,
( spl0_708
<=> ! [X0] :
( cyclefreeP(skaf53(X0))
| skaf53(X0) = app(app(skaf51(skaf53(X0)),cons(skaf49(skaf53(X0)),skaf52(skaf53(X0)))),cons(skaf50(skaf53(X0)),skaf53(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f1747,plain,
( ! [X0] :
( cyclefreeP(skaf53(X0))
| skaf53(X0) = app(app(skaf51(skaf53(X0)),cons(skaf49(skaf53(X0)),skaf52(skaf53(X0)))),cons(skaf50(skaf53(X0)),skaf53(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_196 ),
inference(resolution,[],[f1556,f468]) ).
fof(f15786,plain,
( spl0_707
| ~ spl0_48
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1746,f1555,f455,f15784]) ).
fof(f15784,plain,
( spl0_707
<=> ! [X0] :
( cyclefreeP(skaf56(X0))
| skaf56(X0) = app(app(skaf51(skaf56(X0)),cons(skaf49(skaf56(X0)),skaf52(skaf56(X0)))),cons(skaf50(skaf56(X0)),skaf53(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f1746,plain,
( ! [X0] :
( cyclefreeP(skaf56(X0))
| skaf56(X0) = app(app(skaf51(skaf56(X0)),cons(skaf49(skaf56(X0)),skaf52(skaf56(X0)))),cons(skaf50(skaf56(X0)),skaf53(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_196 ),
inference(resolution,[],[f1556,f456]) ).
fof(f15782,plain,
( spl0_706
| ~ spl0_47
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1745,f1555,f451,f15780]) ).
fof(f15780,plain,
( spl0_706
<=> ! [X0] :
( cyclefreeP(skaf57(X0))
| skaf57(X0) = app(app(skaf51(skaf57(X0)),cons(skaf49(skaf57(X0)),skaf52(skaf57(X0)))),cons(skaf50(skaf57(X0)),skaf53(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f1745,plain,
( ! [X0] :
( cyclefreeP(skaf57(X0))
| skaf57(X0) = app(app(skaf51(skaf57(X0)),cons(skaf49(skaf57(X0)),skaf52(skaf57(X0)))),cons(skaf50(skaf57(X0)),skaf53(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_196 ),
inference(resolution,[],[f1556,f452]) ).
fof(f15778,plain,
( spl0_705
| ~ spl0_46
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1744,f1555,f447,f15776]) ).
fof(f15776,plain,
( spl0_705
<=> ! [X0] :
( cyclefreeP(skaf58(X0))
| skaf58(X0) = app(app(skaf51(skaf58(X0)),cons(skaf49(skaf58(X0)),skaf52(skaf58(X0)))),cons(skaf50(skaf58(X0)),skaf53(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f1744,plain,
( ! [X0] :
( cyclefreeP(skaf58(X0))
| skaf58(X0) = app(app(skaf51(skaf58(X0)),cons(skaf49(skaf58(X0)),skaf52(skaf58(X0)))),cons(skaf50(skaf58(X0)),skaf53(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_196 ),
inference(resolution,[],[f1556,f448]) ).
fof(f15767,plain,
( spl0_704
| ~ spl0_43
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1743,f1555,f435,f15765]) ).
fof(f15765,plain,
( spl0_704
<=> ! [X0] :
( cyclefreeP(skaf61(X0))
| skaf61(X0) = app(app(skaf51(skaf61(X0)),cons(skaf49(skaf61(X0)),skaf52(skaf61(X0)))),cons(skaf50(skaf61(X0)),skaf53(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f1743,plain,
( ! [X0] :
( cyclefreeP(skaf61(X0))
| skaf61(X0) = app(app(skaf51(skaf61(X0)),cons(skaf49(skaf61(X0)),skaf52(skaf61(X0)))),cons(skaf50(skaf61(X0)),skaf53(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_196 ),
inference(resolution,[],[f1556,f436]) ).
fof(f15763,plain,
( spl0_703
| ~ spl0_42
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1742,f1555,f431,f15761]) ).
fof(f15761,plain,
( spl0_703
<=> ! [X0] :
( cyclefreeP(skaf62(X0))
| skaf62(X0) = app(app(skaf51(skaf62(X0)),cons(skaf49(skaf62(X0)),skaf52(skaf62(X0)))),cons(skaf50(skaf62(X0)),skaf53(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f1742,plain,
( ! [X0] :
( cyclefreeP(skaf62(X0))
| skaf62(X0) = app(app(skaf51(skaf62(X0)),cons(skaf49(skaf62(X0)),skaf52(skaf62(X0)))),cons(skaf50(skaf62(X0)),skaf53(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_196 ),
inference(resolution,[],[f1556,f432]) ).
fof(f15759,plain,
( spl0_702
| ~ spl0_41
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1741,f1555,f427,f15757]) ).
fof(f15757,plain,
( spl0_702
<=> ! [X0] :
( cyclefreeP(skaf63(X0))
| skaf63(X0) = app(app(skaf51(skaf63(X0)),cons(skaf49(skaf63(X0)),skaf52(skaf63(X0)))),cons(skaf50(skaf63(X0)),skaf53(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f1741,plain,
( ! [X0] :
( cyclefreeP(skaf63(X0))
| skaf63(X0) = app(app(skaf51(skaf63(X0)),cons(skaf49(skaf63(X0)),skaf52(skaf63(X0)))),cons(skaf50(skaf63(X0)),skaf53(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_196 ),
inference(resolution,[],[f1556,f428]) ).
fof(f15755,plain,
( spl0_701
| ~ spl0_38
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1740,f1555,f415,f15753]) ).
fof(f15753,plain,
( spl0_701
<=> ! [X0] :
( cyclefreeP(skaf66(X0))
| skaf66(X0) = app(app(skaf51(skaf66(X0)),cons(skaf49(skaf66(X0)),skaf52(skaf66(X0)))),cons(skaf50(skaf66(X0)),skaf53(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f1740,plain,
( ! [X0] :
( cyclefreeP(skaf66(X0))
| skaf66(X0) = app(app(skaf51(skaf66(X0)),cons(skaf49(skaf66(X0)),skaf52(skaf66(X0)))),cons(skaf50(skaf66(X0)),skaf53(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_196 ),
inference(resolution,[],[f1556,f416]) ).
fof(f15751,plain,
( spl0_700
| ~ spl0_37
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1739,f1555,f411,f15749]) ).
fof(f15749,plain,
( spl0_700
<=> ! [X0] :
( cyclefreeP(skaf67(X0))
| skaf67(X0) = app(app(skaf51(skaf67(X0)),cons(skaf49(skaf67(X0)),skaf52(skaf67(X0)))),cons(skaf50(skaf67(X0)),skaf53(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f1739,plain,
( ! [X0] :
( cyclefreeP(skaf67(X0))
| skaf67(X0) = app(app(skaf51(skaf67(X0)),cons(skaf49(skaf67(X0)),skaf52(skaf67(X0)))),cons(skaf50(skaf67(X0)),skaf53(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_196 ),
inference(resolution,[],[f1556,f412]) ).
fof(f15747,plain,
( spl0_699
| ~ spl0_36
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1738,f1555,f407,f15745]) ).
fof(f15745,plain,
( spl0_699
<=> ! [X0] :
( cyclefreeP(skaf68(X0))
| skaf68(X0) = app(app(skaf51(skaf68(X0)),cons(skaf49(skaf68(X0)),skaf52(skaf68(X0)))),cons(skaf50(skaf68(X0)),skaf53(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f1738,plain,
( ! [X0] :
( cyclefreeP(skaf68(X0))
| skaf68(X0) = app(app(skaf51(skaf68(X0)),cons(skaf49(skaf68(X0)),skaf52(skaf68(X0)))),cons(skaf50(skaf68(X0)),skaf53(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_196 ),
inference(resolution,[],[f1556,f408]) ).
fof(f15743,plain,
( spl0_698
| ~ spl0_33
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1737,f1555,f395,f15741]) ).
fof(f15741,plain,
( spl0_698
<=> ! [X0] :
( cyclefreeP(skaf71(X0))
| skaf71(X0) = app(app(skaf51(skaf71(X0)),cons(skaf49(skaf71(X0)),skaf52(skaf71(X0)))),cons(skaf50(skaf71(X0)),skaf53(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f1737,plain,
( ! [X0] :
( cyclefreeP(skaf71(X0))
| skaf71(X0) = app(app(skaf51(skaf71(X0)),cons(skaf49(skaf71(X0)),skaf52(skaf71(X0)))),cons(skaf50(skaf71(X0)),skaf53(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_196 ),
inference(resolution,[],[f1556,f396]) ).
fof(f15739,plain,
( spl0_697
| ~ spl0_32
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1736,f1555,f391,f15737]) ).
fof(f15737,plain,
( spl0_697
<=> ! [X0] :
( cyclefreeP(skaf72(X0))
| skaf72(X0) = app(app(skaf51(skaf72(X0)),cons(skaf49(skaf72(X0)),skaf52(skaf72(X0)))),cons(skaf50(skaf72(X0)),skaf53(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f1736,plain,
( ! [X0] :
( cyclefreeP(skaf72(X0))
| skaf72(X0) = app(app(skaf51(skaf72(X0)),cons(skaf49(skaf72(X0)),skaf52(skaf72(X0)))),cons(skaf50(skaf72(X0)),skaf53(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_196 ),
inference(resolution,[],[f1556,f392]) ).
fof(f15735,plain,
( spl0_696
| ~ spl0_31
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1735,f1555,f387,f15733]) ).
fof(f15733,plain,
( spl0_696
<=> ! [X0] :
( cyclefreeP(skaf73(X0))
| skaf73(X0) = app(app(skaf51(skaf73(X0)),cons(skaf49(skaf73(X0)),skaf52(skaf73(X0)))),cons(skaf50(skaf73(X0)),skaf53(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f1735,plain,
( ! [X0] :
( cyclefreeP(skaf73(X0))
| skaf73(X0) = app(app(skaf51(skaf73(X0)),cons(skaf49(skaf73(X0)),skaf52(skaf73(X0)))),cons(skaf50(skaf73(X0)),skaf53(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_196 ),
inference(resolution,[],[f1556,f388]) ).
fof(f15731,plain,
( spl0_695
| ~ spl0_29
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1734,f1555,f379,f15729]) ).
fof(f15729,plain,
( spl0_695
<=> ! [X0] :
( cyclefreeP(skaf75(X0))
| skaf75(X0) = app(app(skaf51(skaf75(X0)),cons(skaf49(skaf75(X0)),skaf52(skaf75(X0)))),cons(skaf50(skaf75(X0)),skaf53(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f1734,plain,
( ! [X0] :
( cyclefreeP(skaf75(X0))
| skaf75(X0) = app(app(skaf51(skaf75(X0)),cons(skaf49(skaf75(X0)),skaf52(skaf75(X0)))),cons(skaf50(skaf75(X0)),skaf53(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_196 ),
inference(resolution,[],[f1556,f380]) ).
fof(f15720,plain,
( spl0_694
| ~ spl0_28
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1733,f1555,f375,f15718]) ).
fof(f15718,plain,
( spl0_694
<=> ! [X0] :
( cyclefreeP(skaf76(X0))
| skaf76(X0) = app(app(skaf51(skaf76(X0)),cons(skaf49(skaf76(X0)),skaf52(skaf76(X0)))),cons(skaf50(skaf76(X0)),skaf53(skaf76(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f1733,plain,
( ! [X0] :
( cyclefreeP(skaf76(X0))
| skaf76(X0) = app(app(skaf51(skaf76(X0)),cons(skaf49(skaf76(X0)),skaf52(skaf76(X0)))),cons(skaf50(skaf76(X0)),skaf53(skaf76(X0)))) )
| ~ spl0_28
| ~ spl0_196 ),
inference(resolution,[],[f1556,f376]) ).
fof(f15716,plain,
( spl0_693
| ~ spl0_27
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1732,f1555,f371,f15714]) ).
fof(f15714,plain,
( spl0_693
<=> ! [X0] :
( cyclefreeP(skaf77(X0))
| skaf77(X0) = app(app(skaf51(skaf77(X0)),cons(skaf49(skaf77(X0)),skaf52(skaf77(X0)))),cons(skaf50(skaf77(X0)),skaf53(skaf77(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f1732,plain,
( ! [X0] :
( cyclefreeP(skaf77(X0))
| skaf77(X0) = app(app(skaf51(skaf77(X0)),cons(skaf49(skaf77(X0)),skaf52(skaf77(X0)))),cons(skaf50(skaf77(X0)),skaf53(skaf77(X0)))) )
| ~ spl0_27
| ~ spl0_196 ),
inference(resolution,[],[f1556,f372]) ).
fof(f15712,plain,
( spl0_692
| ~ spl0_24
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1731,f1555,f359,f15710]) ).
fof(f15710,plain,
( spl0_692
<=> ! [X0] :
( cyclefreeP(skaf80(X0))
| skaf80(X0) = app(app(skaf51(skaf80(X0)),cons(skaf49(skaf80(X0)),skaf52(skaf80(X0)))),cons(skaf50(skaf80(X0)),skaf53(skaf80(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f1731,plain,
( ! [X0] :
( cyclefreeP(skaf80(X0))
| skaf80(X0) = app(app(skaf51(skaf80(X0)),cons(skaf49(skaf80(X0)),skaf52(skaf80(X0)))),cons(skaf50(skaf80(X0)),skaf53(skaf80(X0)))) )
| ~ spl0_24
| ~ spl0_196 ),
inference(resolution,[],[f1556,f360]) ).
fof(f15708,plain,
( spl0_691
| ~ spl0_23
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1730,f1555,f355,f15706]) ).
fof(f15706,plain,
( spl0_691
<=> ! [X0] :
( cyclefreeP(skaf81(X0))
| skaf81(X0) = app(app(skaf51(skaf81(X0)),cons(skaf49(skaf81(X0)),skaf52(skaf81(X0)))),cons(skaf50(skaf81(X0)),skaf53(skaf81(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f1730,plain,
( ! [X0] :
( cyclefreeP(skaf81(X0))
| skaf81(X0) = app(app(skaf51(skaf81(X0)),cons(skaf49(skaf81(X0)),skaf52(skaf81(X0)))),cons(skaf50(skaf81(X0)),skaf53(skaf81(X0)))) )
| ~ spl0_23
| ~ spl0_196 ),
inference(resolution,[],[f1556,f356]) ).
fof(f15704,plain,
( spl0_690
| ~ spl0_22
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1729,f1555,f351,f15702]) ).
fof(f15702,plain,
( spl0_690
<=> ! [X0] :
( cyclefreeP(skaf82(X0))
| skaf82(X0) = app(app(skaf51(skaf82(X0)),cons(skaf49(skaf82(X0)),skaf52(skaf82(X0)))),cons(skaf50(skaf82(X0)),skaf53(skaf82(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f1729,plain,
( ! [X0] :
( cyclefreeP(skaf82(X0))
| skaf82(X0) = app(app(skaf51(skaf82(X0)),cons(skaf49(skaf82(X0)),skaf52(skaf82(X0)))),cons(skaf50(skaf82(X0)),skaf53(skaf82(X0)))) )
| ~ spl0_22
| ~ spl0_196 ),
inference(resolution,[],[f1556,f352]) ).
fof(f15700,plain,
( spl0_689
| ~ spl0_53
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1716,f1551,f475,f15698]) ).
fof(f15698,plain,
( spl0_689
<=> ! [X0] :
( totalorderP(skaf51(X0))
| skaf51(X0) = app(app(skaf56(skaf51(X0)),cons(skaf54(skaf51(X0)),skaf57(skaf51(X0)))),cons(skaf55(skaf51(X0)),skaf58(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f1716,plain,
( ! [X0] :
( totalorderP(skaf51(X0))
| skaf51(X0) = app(app(skaf56(skaf51(X0)),cons(skaf54(skaf51(X0)),skaf57(skaf51(X0)))),cons(skaf55(skaf51(X0)),skaf58(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_195 ),
inference(resolution,[],[f1552,f476]) ).
fof(f15696,plain,
( spl0_688
| ~ spl0_52
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1715,f1551,f471,f15694]) ).
fof(f15694,plain,
( spl0_688
<=> ! [X0] :
( totalorderP(skaf52(X0))
| skaf52(X0) = app(app(skaf56(skaf52(X0)),cons(skaf54(skaf52(X0)),skaf57(skaf52(X0)))),cons(skaf55(skaf52(X0)),skaf58(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f1715,plain,
( ! [X0] :
( totalorderP(skaf52(X0))
| skaf52(X0) = app(app(skaf56(skaf52(X0)),cons(skaf54(skaf52(X0)),skaf57(skaf52(X0)))),cons(skaf55(skaf52(X0)),skaf58(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_195 ),
inference(resolution,[],[f1552,f472]) ).
fof(f15692,plain,
( spl0_687
| ~ spl0_51
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1714,f1551,f467,f15690]) ).
fof(f15690,plain,
( spl0_687
<=> ! [X0] :
( totalorderP(skaf53(X0))
| skaf53(X0) = app(app(skaf56(skaf53(X0)),cons(skaf54(skaf53(X0)),skaf57(skaf53(X0)))),cons(skaf55(skaf53(X0)),skaf58(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f1714,plain,
( ! [X0] :
( totalorderP(skaf53(X0))
| skaf53(X0) = app(app(skaf56(skaf53(X0)),cons(skaf54(skaf53(X0)),skaf57(skaf53(X0)))),cons(skaf55(skaf53(X0)),skaf58(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_195 ),
inference(resolution,[],[f1552,f468]) ).
fof(f15688,plain,
( spl0_686
| ~ spl0_48
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1713,f1551,f455,f15686]) ).
fof(f15686,plain,
( spl0_686
<=> ! [X0] :
( totalorderP(skaf56(X0))
| skaf56(X0) = app(app(skaf56(skaf56(X0)),cons(skaf54(skaf56(X0)),skaf57(skaf56(X0)))),cons(skaf55(skaf56(X0)),skaf58(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f1713,plain,
( ! [X0] :
( totalorderP(skaf56(X0))
| skaf56(X0) = app(app(skaf56(skaf56(X0)),cons(skaf54(skaf56(X0)),skaf57(skaf56(X0)))),cons(skaf55(skaf56(X0)),skaf58(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_195 ),
inference(resolution,[],[f1552,f456]) ).
fof(f15684,plain,
( spl0_685
| ~ spl0_47
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1712,f1551,f451,f15682]) ).
fof(f15682,plain,
( spl0_685
<=> ! [X0] :
( totalorderP(skaf57(X0))
| skaf57(X0) = app(app(skaf56(skaf57(X0)),cons(skaf54(skaf57(X0)),skaf57(skaf57(X0)))),cons(skaf55(skaf57(X0)),skaf58(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f1712,plain,
( ! [X0] :
( totalorderP(skaf57(X0))
| skaf57(X0) = app(app(skaf56(skaf57(X0)),cons(skaf54(skaf57(X0)),skaf57(skaf57(X0)))),cons(skaf55(skaf57(X0)),skaf58(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_195 ),
inference(resolution,[],[f1552,f452]) ).
fof(f15673,plain,
( spl0_684
| ~ spl0_46
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1711,f1551,f447,f15671]) ).
fof(f15671,plain,
( spl0_684
<=> ! [X0] :
( totalorderP(skaf58(X0))
| skaf58(X0) = app(app(skaf56(skaf58(X0)),cons(skaf54(skaf58(X0)),skaf57(skaf58(X0)))),cons(skaf55(skaf58(X0)),skaf58(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f1711,plain,
( ! [X0] :
( totalorderP(skaf58(X0))
| skaf58(X0) = app(app(skaf56(skaf58(X0)),cons(skaf54(skaf58(X0)),skaf57(skaf58(X0)))),cons(skaf55(skaf58(X0)),skaf58(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_195 ),
inference(resolution,[],[f1552,f448]) ).
fof(f15669,plain,
( spl0_683
| ~ spl0_43
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1710,f1551,f435,f15667]) ).
fof(f15667,plain,
( spl0_683
<=> ! [X0] :
( totalorderP(skaf61(X0))
| skaf61(X0) = app(app(skaf56(skaf61(X0)),cons(skaf54(skaf61(X0)),skaf57(skaf61(X0)))),cons(skaf55(skaf61(X0)),skaf58(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f1710,plain,
( ! [X0] :
( totalorderP(skaf61(X0))
| skaf61(X0) = app(app(skaf56(skaf61(X0)),cons(skaf54(skaf61(X0)),skaf57(skaf61(X0)))),cons(skaf55(skaf61(X0)),skaf58(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_195 ),
inference(resolution,[],[f1552,f436]) ).
fof(f15665,plain,
( spl0_682
| ~ spl0_42
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1709,f1551,f431,f15663]) ).
fof(f15663,plain,
( spl0_682
<=> ! [X0] :
( totalorderP(skaf62(X0))
| skaf62(X0) = app(app(skaf56(skaf62(X0)),cons(skaf54(skaf62(X0)),skaf57(skaf62(X0)))),cons(skaf55(skaf62(X0)),skaf58(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f1709,plain,
( ! [X0] :
( totalorderP(skaf62(X0))
| skaf62(X0) = app(app(skaf56(skaf62(X0)),cons(skaf54(skaf62(X0)),skaf57(skaf62(X0)))),cons(skaf55(skaf62(X0)),skaf58(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_195 ),
inference(resolution,[],[f1552,f432]) ).
fof(f15661,plain,
( spl0_681
| ~ spl0_41
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1708,f1551,f427,f15659]) ).
fof(f15659,plain,
( spl0_681
<=> ! [X0] :
( totalorderP(skaf63(X0))
| skaf63(X0) = app(app(skaf56(skaf63(X0)),cons(skaf54(skaf63(X0)),skaf57(skaf63(X0)))),cons(skaf55(skaf63(X0)),skaf58(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f1708,plain,
( ! [X0] :
( totalorderP(skaf63(X0))
| skaf63(X0) = app(app(skaf56(skaf63(X0)),cons(skaf54(skaf63(X0)),skaf57(skaf63(X0)))),cons(skaf55(skaf63(X0)),skaf58(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_195 ),
inference(resolution,[],[f1552,f428]) ).
fof(f15657,plain,
( spl0_680
| ~ spl0_38
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1707,f1551,f415,f15655]) ).
fof(f15655,plain,
( spl0_680
<=> ! [X0] :
( totalorderP(skaf66(X0))
| skaf66(X0) = app(app(skaf56(skaf66(X0)),cons(skaf54(skaf66(X0)),skaf57(skaf66(X0)))),cons(skaf55(skaf66(X0)),skaf58(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f1707,plain,
( ! [X0] :
( totalorderP(skaf66(X0))
| skaf66(X0) = app(app(skaf56(skaf66(X0)),cons(skaf54(skaf66(X0)),skaf57(skaf66(X0)))),cons(skaf55(skaf66(X0)),skaf58(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_195 ),
inference(resolution,[],[f1552,f416]) ).
fof(f15653,plain,
( spl0_679
| ~ spl0_37
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1706,f1551,f411,f15651]) ).
fof(f15651,plain,
( spl0_679
<=> ! [X0] :
( totalorderP(skaf67(X0))
| skaf67(X0) = app(app(skaf56(skaf67(X0)),cons(skaf54(skaf67(X0)),skaf57(skaf67(X0)))),cons(skaf55(skaf67(X0)),skaf58(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f1706,plain,
( ! [X0] :
( totalorderP(skaf67(X0))
| skaf67(X0) = app(app(skaf56(skaf67(X0)),cons(skaf54(skaf67(X0)),skaf57(skaf67(X0)))),cons(skaf55(skaf67(X0)),skaf58(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_195 ),
inference(resolution,[],[f1552,f412]) ).
fof(f15649,plain,
( spl0_678
| ~ spl0_36
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1705,f1551,f407,f15647]) ).
fof(f15647,plain,
( spl0_678
<=> ! [X0] :
( totalorderP(skaf68(X0))
| skaf68(X0) = app(app(skaf56(skaf68(X0)),cons(skaf54(skaf68(X0)),skaf57(skaf68(X0)))),cons(skaf55(skaf68(X0)),skaf58(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f1705,plain,
( ! [X0] :
( totalorderP(skaf68(X0))
| skaf68(X0) = app(app(skaf56(skaf68(X0)),cons(skaf54(skaf68(X0)),skaf57(skaf68(X0)))),cons(skaf55(skaf68(X0)),skaf58(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_195 ),
inference(resolution,[],[f1552,f408]) ).
fof(f15645,plain,
( spl0_677
| ~ spl0_33
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1704,f1551,f395,f15643]) ).
fof(f15643,plain,
( spl0_677
<=> ! [X0] :
( totalorderP(skaf71(X0))
| skaf71(X0) = app(app(skaf56(skaf71(X0)),cons(skaf54(skaf71(X0)),skaf57(skaf71(X0)))),cons(skaf55(skaf71(X0)),skaf58(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f1704,plain,
( ! [X0] :
( totalorderP(skaf71(X0))
| skaf71(X0) = app(app(skaf56(skaf71(X0)),cons(skaf54(skaf71(X0)),skaf57(skaf71(X0)))),cons(skaf55(skaf71(X0)),skaf58(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_195 ),
inference(resolution,[],[f1552,f396]) ).
fof(f15641,plain,
( spl0_676
| ~ spl0_32
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1703,f1551,f391,f15639]) ).
fof(f15639,plain,
( spl0_676
<=> ! [X0] :
( totalorderP(skaf72(X0))
| skaf72(X0) = app(app(skaf56(skaf72(X0)),cons(skaf54(skaf72(X0)),skaf57(skaf72(X0)))),cons(skaf55(skaf72(X0)),skaf58(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f1703,plain,
( ! [X0] :
( totalorderP(skaf72(X0))
| skaf72(X0) = app(app(skaf56(skaf72(X0)),cons(skaf54(skaf72(X0)),skaf57(skaf72(X0)))),cons(skaf55(skaf72(X0)),skaf58(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_195 ),
inference(resolution,[],[f1552,f392]) ).
fof(f15637,plain,
( spl0_675
| ~ spl0_31
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1702,f1551,f387,f15635]) ).
fof(f15635,plain,
( spl0_675
<=> ! [X0] :
( totalorderP(skaf73(X0))
| skaf73(X0) = app(app(skaf56(skaf73(X0)),cons(skaf54(skaf73(X0)),skaf57(skaf73(X0)))),cons(skaf55(skaf73(X0)),skaf58(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f1702,plain,
( ! [X0] :
( totalorderP(skaf73(X0))
| skaf73(X0) = app(app(skaf56(skaf73(X0)),cons(skaf54(skaf73(X0)),skaf57(skaf73(X0)))),cons(skaf55(skaf73(X0)),skaf58(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_195 ),
inference(resolution,[],[f1552,f388]) ).
fof(f15626,plain,
( spl0_674
| ~ spl0_29
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1701,f1551,f379,f15624]) ).
fof(f15624,plain,
( spl0_674
<=> ! [X0] :
( totalorderP(skaf75(X0))
| skaf75(X0) = app(app(skaf56(skaf75(X0)),cons(skaf54(skaf75(X0)),skaf57(skaf75(X0)))),cons(skaf55(skaf75(X0)),skaf58(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f1701,plain,
( ! [X0] :
( totalorderP(skaf75(X0))
| skaf75(X0) = app(app(skaf56(skaf75(X0)),cons(skaf54(skaf75(X0)),skaf57(skaf75(X0)))),cons(skaf55(skaf75(X0)),skaf58(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_195 ),
inference(resolution,[],[f1552,f380]) ).
fof(f15622,plain,
( spl0_673
| ~ spl0_28
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1700,f1551,f375,f15620]) ).
fof(f15620,plain,
( spl0_673
<=> ! [X0] :
( totalorderP(skaf76(X0))
| skaf76(X0) = app(app(skaf56(skaf76(X0)),cons(skaf54(skaf76(X0)),skaf57(skaf76(X0)))),cons(skaf55(skaf76(X0)),skaf58(skaf76(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f1700,plain,
( ! [X0] :
( totalorderP(skaf76(X0))
| skaf76(X0) = app(app(skaf56(skaf76(X0)),cons(skaf54(skaf76(X0)),skaf57(skaf76(X0)))),cons(skaf55(skaf76(X0)),skaf58(skaf76(X0)))) )
| ~ spl0_28
| ~ spl0_195 ),
inference(resolution,[],[f1552,f376]) ).
fof(f15618,plain,
( spl0_672
| ~ spl0_27
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1699,f1551,f371,f15616]) ).
fof(f15616,plain,
( spl0_672
<=> ! [X0] :
( totalorderP(skaf77(X0))
| skaf77(X0) = app(app(skaf56(skaf77(X0)),cons(skaf54(skaf77(X0)),skaf57(skaf77(X0)))),cons(skaf55(skaf77(X0)),skaf58(skaf77(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f1699,plain,
( ! [X0] :
( totalorderP(skaf77(X0))
| skaf77(X0) = app(app(skaf56(skaf77(X0)),cons(skaf54(skaf77(X0)),skaf57(skaf77(X0)))),cons(skaf55(skaf77(X0)),skaf58(skaf77(X0)))) )
| ~ spl0_27
| ~ spl0_195 ),
inference(resolution,[],[f1552,f372]) ).
fof(f15614,plain,
( spl0_671
| ~ spl0_24
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1698,f1551,f359,f15612]) ).
fof(f15612,plain,
( spl0_671
<=> ! [X0] :
( totalorderP(skaf80(X0))
| skaf80(X0) = app(app(skaf56(skaf80(X0)),cons(skaf54(skaf80(X0)),skaf57(skaf80(X0)))),cons(skaf55(skaf80(X0)),skaf58(skaf80(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f1698,plain,
( ! [X0] :
( totalorderP(skaf80(X0))
| skaf80(X0) = app(app(skaf56(skaf80(X0)),cons(skaf54(skaf80(X0)),skaf57(skaf80(X0)))),cons(skaf55(skaf80(X0)),skaf58(skaf80(X0)))) )
| ~ spl0_24
| ~ spl0_195 ),
inference(resolution,[],[f1552,f360]) ).
fof(f15610,plain,
( spl0_670
| ~ spl0_23
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1697,f1551,f355,f15608]) ).
fof(f15608,plain,
( spl0_670
<=> ! [X0] :
( totalorderP(skaf81(X0))
| skaf81(X0) = app(app(skaf56(skaf81(X0)),cons(skaf54(skaf81(X0)),skaf57(skaf81(X0)))),cons(skaf55(skaf81(X0)),skaf58(skaf81(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f1697,plain,
( ! [X0] :
( totalorderP(skaf81(X0))
| skaf81(X0) = app(app(skaf56(skaf81(X0)),cons(skaf54(skaf81(X0)),skaf57(skaf81(X0)))),cons(skaf55(skaf81(X0)),skaf58(skaf81(X0)))) )
| ~ spl0_23
| ~ spl0_195 ),
inference(resolution,[],[f1552,f356]) ).
fof(f15606,plain,
( spl0_669
| ~ spl0_22
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1696,f1551,f351,f15604]) ).
fof(f15604,plain,
( spl0_669
<=> ! [X0] :
( totalorderP(skaf82(X0))
| skaf82(X0) = app(app(skaf56(skaf82(X0)),cons(skaf54(skaf82(X0)),skaf57(skaf82(X0)))),cons(skaf55(skaf82(X0)),skaf58(skaf82(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f1696,plain,
( ! [X0] :
( totalorderP(skaf82(X0))
| skaf82(X0) = app(app(skaf56(skaf82(X0)),cons(skaf54(skaf82(X0)),skaf57(skaf82(X0)))),cons(skaf55(skaf82(X0)),skaf58(skaf82(X0)))) )
| ~ spl0_22
| ~ spl0_195 ),
inference(resolution,[],[f1552,f352]) ).
fof(f15602,plain,
( spl0_668
| ~ spl0_53
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1678,f1547,f475,f15600]) ).
fof(f15600,plain,
( spl0_668
<=> ! [X0] :
( strictorderP(skaf51(X0))
| skaf51(X0) = app(app(skaf61(skaf51(X0)),cons(skaf59(skaf51(X0)),skaf62(skaf51(X0)))),cons(skaf60(skaf51(X0)),skaf63(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f1678,plain,
( ! [X0] :
( strictorderP(skaf51(X0))
| skaf51(X0) = app(app(skaf61(skaf51(X0)),cons(skaf59(skaf51(X0)),skaf62(skaf51(X0)))),cons(skaf60(skaf51(X0)),skaf63(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_194 ),
inference(resolution,[],[f1548,f476]) ).
fof(f15598,plain,
( spl0_667
| ~ spl0_52
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1677,f1547,f471,f15596]) ).
fof(f15596,plain,
( spl0_667
<=> ! [X0] :
( strictorderP(skaf52(X0))
| skaf52(X0) = app(app(skaf61(skaf52(X0)),cons(skaf59(skaf52(X0)),skaf62(skaf52(X0)))),cons(skaf60(skaf52(X0)),skaf63(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f1677,plain,
( ! [X0] :
( strictorderP(skaf52(X0))
| skaf52(X0) = app(app(skaf61(skaf52(X0)),cons(skaf59(skaf52(X0)),skaf62(skaf52(X0)))),cons(skaf60(skaf52(X0)),skaf63(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_194 ),
inference(resolution,[],[f1548,f472]) ).
fof(f15594,plain,
( spl0_666
| ~ spl0_51
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1676,f1547,f467,f15592]) ).
fof(f15592,plain,
( spl0_666
<=> ! [X0] :
( strictorderP(skaf53(X0))
| skaf53(X0) = app(app(skaf61(skaf53(X0)),cons(skaf59(skaf53(X0)),skaf62(skaf53(X0)))),cons(skaf60(skaf53(X0)),skaf63(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f1676,plain,
( ! [X0] :
( strictorderP(skaf53(X0))
| skaf53(X0) = app(app(skaf61(skaf53(X0)),cons(skaf59(skaf53(X0)),skaf62(skaf53(X0)))),cons(skaf60(skaf53(X0)),skaf63(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_194 ),
inference(resolution,[],[f1548,f468]) ).
fof(f15590,plain,
( spl0_665
| ~ spl0_48
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1675,f1547,f455,f15588]) ).
fof(f15588,plain,
( spl0_665
<=> ! [X0] :
( strictorderP(skaf56(X0))
| skaf56(X0) = app(app(skaf61(skaf56(X0)),cons(skaf59(skaf56(X0)),skaf62(skaf56(X0)))),cons(skaf60(skaf56(X0)),skaf63(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f1675,plain,
( ! [X0] :
( strictorderP(skaf56(X0))
| skaf56(X0) = app(app(skaf61(skaf56(X0)),cons(skaf59(skaf56(X0)),skaf62(skaf56(X0)))),cons(skaf60(skaf56(X0)),skaf63(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_194 ),
inference(resolution,[],[f1548,f456]) ).
fof(f15579,plain,
( spl0_664
| ~ spl0_47
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1674,f1547,f451,f15577]) ).
fof(f15577,plain,
( spl0_664
<=> ! [X0] :
( strictorderP(skaf57(X0))
| skaf57(X0) = app(app(skaf61(skaf57(X0)),cons(skaf59(skaf57(X0)),skaf62(skaf57(X0)))),cons(skaf60(skaf57(X0)),skaf63(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f1674,plain,
( ! [X0] :
( strictorderP(skaf57(X0))
| skaf57(X0) = app(app(skaf61(skaf57(X0)),cons(skaf59(skaf57(X0)),skaf62(skaf57(X0)))),cons(skaf60(skaf57(X0)),skaf63(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_194 ),
inference(resolution,[],[f1548,f452]) ).
fof(f15575,plain,
( spl0_663
| ~ spl0_46
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1673,f1547,f447,f15573]) ).
fof(f15573,plain,
( spl0_663
<=> ! [X0] :
( strictorderP(skaf58(X0))
| skaf58(X0) = app(app(skaf61(skaf58(X0)),cons(skaf59(skaf58(X0)),skaf62(skaf58(X0)))),cons(skaf60(skaf58(X0)),skaf63(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f1673,plain,
( ! [X0] :
( strictorderP(skaf58(X0))
| skaf58(X0) = app(app(skaf61(skaf58(X0)),cons(skaf59(skaf58(X0)),skaf62(skaf58(X0)))),cons(skaf60(skaf58(X0)),skaf63(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_194 ),
inference(resolution,[],[f1548,f448]) ).
fof(f15571,plain,
( spl0_662
| ~ spl0_43
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1672,f1547,f435,f15569]) ).
fof(f15569,plain,
( spl0_662
<=> ! [X0] :
( strictorderP(skaf61(X0))
| skaf61(X0) = app(app(skaf61(skaf61(X0)),cons(skaf59(skaf61(X0)),skaf62(skaf61(X0)))),cons(skaf60(skaf61(X0)),skaf63(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f1672,plain,
( ! [X0] :
( strictorderP(skaf61(X0))
| skaf61(X0) = app(app(skaf61(skaf61(X0)),cons(skaf59(skaf61(X0)),skaf62(skaf61(X0)))),cons(skaf60(skaf61(X0)),skaf63(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_194 ),
inference(resolution,[],[f1548,f436]) ).
fof(f15567,plain,
( spl0_661
| ~ spl0_42
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1671,f1547,f431,f15565]) ).
fof(f15565,plain,
( spl0_661
<=> ! [X0] :
( strictorderP(skaf62(X0))
| skaf62(X0) = app(app(skaf61(skaf62(X0)),cons(skaf59(skaf62(X0)),skaf62(skaf62(X0)))),cons(skaf60(skaf62(X0)),skaf63(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f1671,plain,
( ! [X0] :
( strictorderP(skaf62(X0))
| skaf62(X0) = app(app(skaf61(skaf62(X0)),cons(skaf59(skaf62(X0)),skaf62(skaf62(X0)))),cons(skaf60(skaf62(X0)),skaf63(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_194 ),
inference(resolution,[],[f1548,f432]) ).
fof(f15563,plain,
( spl0_660
| ~ spl0_41
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1670,f1547,f427,f15561]) ).
fof(f15561,plain,
( spl0_660
<=> ! [X0] :
( strictorderP(skaf63(X0))
| skaf63(X0) = app(app(skaf61(skaf63(X0)),cons(skaf59(skaf63(X0)),skaf62(skaf63(X0)))),cons(skaf60(skaf63(X0)),skaf63(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f1670,plain,
( ! [X0] :
( strictorderP(skaf63(X0))
| skaf63(X0) = app(app(skaf61(skaf63(X0)),cons(skaf59(skaf63(X0)),skaf62(skaf63(X0)))),cons(skaf60(skaf63(X0)),skaf63(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_194 ),
inference(resolution,[],[f1548,f428]) ).
fof(f15559,plain,
( spl0_659
| ~ spl0_38
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1669,f1547,f415,f15557]) ).
fof(f15557,plain,
( spl0_659
<=> ! [X0] :
( strictorderP(skaf66(X0))
| skaf66(X0) = app(app(skaf61(skaf66(X0)),cons(skaf59(skaf66(X0)),skaf62(skaf66(X0)))),cons(skaf60(skaf66(X0)),skaf63(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f1669,plain,
( ! [X0] :
( strictorderP(skaf66(X0))
| skaf66(X0) = app(app(skaf61(skaf66(X0)),cons(skaf59(skaf66(X0)),skaf62(skaf66(X0)))),cons(skaf60(skaf66(X0)),skaf63(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_194 ),
inference(resolution,[],[f1548,f416]) ).
fof(f15555,plain,
( spl0_658
| ~ spl0_37
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1668,f1547,f411,f15553]) ).
fof(f15553,plain,
( spl0_658
<=> ! [X0] :
( strictorderP(skaf67(X0))
| skaf67(X0) = app(app(skaf61(skaf67(X0)),cons(skaf59(skaf67(X0)),skaf62(skaf67(X0)))),cons(skaf60(skaf67(X0)),skaf63(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f1668,plain,
( ! [X0] :
( strictorderP(skaf67(X0))
| skaf67(X0) = app(app(skaf61(skaf67(X0)),cons(skaf59(skaf67(X0)),skaf62(skaf67(X0)))),cons(skaf60(skaf67(X0)),skaf63(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_194 ),
inference(resolution,[],[f1548,f412]) ).
fof(f15551,plain,
( spl0_657
| ~ spl0_36
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1667,f1547,f407,f15549]) ).
fof(f15549,plain,
( spl0_657
<=> ! [X0] :
( strictorderP(skaf68(X0))
| skaf68(X0) = app(app(skaf61(skaf68(X0)),cons(skaf59(skaf68(X0)),skaf62(skaf68(X0)))),cons(skaf60(skaf68(X0)),skaf63(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f1667,plain,
( ! [X0] :
( strictorderP(skaf68(X0))
| skaf68(X0) = app(app(skaf61(skaf68(X0)),cons(skaf59(skaf68(X0)),skaf62(skaf68(X0)))),cons(skaf60(skaf68(X0)),skaf63(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_194 ),
inference(resolution,[],[f1548,f408]) ).
fof(f15547,plain,
( spl0_656
| ~ spl0_33
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1666,f1547,f395,f15545]) ).
fof(f15545,plain,
( spl0_656
<=> ! [X0] :
( strictorderP(skaf71(X0))
| skaf71(X0) = app(app(skaf61(skaf71(X0)),cons(skaf59(skaf71(X0)),skaf62(skaf71(X0)))),cons(skaf60(skaf71(X0)),skaf63(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f1666,plain,
( ! [X0] :
( strictorderP(skaf71(X0))
| skaf71(X0) = app(app(skaf61(skaf71(X0)),cons(skaf59(skaf71(X0)),skaf62(skaf71(X0)))),cons(skaf60(skaf71(X0)),skaf63(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_194 ),
inference(resolution,[],[f1548,f396]) ).
fof(f15543,plain,
( spl0_655
| ~ spl0_32
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1665,f1547,f391,f15541]) ).
fof(f15541,plain,
( spl0_655
<=> ! [X0] :
( strictorderP(skaf72(X0))
| skaf72(X0) = app(app(skaf61(skaf72(X0)),cons(skaf59(skaf72(X0)),skaf62(skaf72(X0)))),cons(skaf60(skaf72(X0)),skaf63(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f1665,plain,
( ! [X0] :
( strictorderP(skaf72(X0))
| skaf72(X0) = app(app(skaf61(skaf72(X0)),cons(skaf59(skaf72(X0)),skaf62(skaf72(X0)))),cons(skaf60(skaf72(X0)),skaf63(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_194 ),
inference(resolution,[],[f1548,f392]) ).
fof(f15532,plain,
( spl0_654
| ~ spl0_31
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1664,f1547,f387,f15530]) ).
fof(f15530,plain,
( spl0_654
<=> ! [X0] :
( strictorderP(skaf73(X0))
| skaf73(X0) = app(app(skaf61(skaf73(X0)),cons(skaf59(skaf73(X0)),skaf62(skaf73(X0)))),cons(skaf60(skaf73(X0)),skaf63(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f1664,plain,
( ! [X0] :
( strictorderP(skaf73(X0))
| skaf73(X0) = app(app(skaf61(skaf73(X0)),cons(skaf59(skaf73(X0)),skaf62(skaf73(X0)))),cons(skaf60(skaf73(X0)),skaf63(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_194 ),
inference(resolution,[],[f1548,f388]) ).
fof(f15528,plain,
( spl0_653
| ~ spl0_29
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1663,f1547,f379,f15526]) ).
fof(f15526,plain,
( spl0_653
<=> ! [X0] :
( strictorderP(skaf75(X0))
| skaf75(X0) = app(app(skaf61(skaf75(X0)),cons(skaf59(skaf75(X0)),skaf62(skaf75(X0)))),cons(skaf60(skaf75(X0)),skaf63(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f1663,plain,
( ! [X0] :
( strictorderP(skaf75(X0))
| skaf75(X0) = app(app(skaf61(skaf75(X0)),cons(skaf59(skaf75(X0)),skaf62(skaf75(X0)))),cons(skaf60(skaf75(X0)),skaf63(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_194 ),
inference(resolution,[],[f1548,f380]) ).
fof(f15524,plain,
( spl0_652
| ~ spl0_28
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1662,f1547,f375,f15522]) ).
fof(f15522,plain,
( spl0_652
<=> ! [X0] :
( strictorderP(skaf76(X0))
| skaf76(X0) = app(app(skaf61(skaf76(X0)),cons(skaf59(skaf76(X0)),skaf62(skaf76(X0)))),cons(skaf60(skaf76(X0)),skaf63(skaf76(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f1662,plain,
( ! [X0] :
( strictorderP(skaf76(X0))
| skaf76(X0) = app(app(skaf61(skaf76(X0)),cons(skaf59(skaf76(X0)),skaf62(skaf76(X0)))),cons(skaf60(skaf76(X0)),skaf63(skaf76(X0)))) )
| ~ spl0_28
| ~ spl0_194 ),
inference(resolution,[],[f1548,f376]) ).
fof(f15520,plain,
( spl0_651
| ~ spl0_27
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1661,f1547,f371,f15518]) ).
fof(f15518,plain,
( spl0_651
<=> ! [X0] :
( strictorderP(skaf77(X0))
| skaf77(X0) = app(app(skaf61(skaf77(X0)),cons(skaf59(skaf77(X0)),skaf62(skaf77(X0)))),cons(skaf60(skaf77(X0)),skaf63(skaf77(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f1661,plain,
( ! [X0] :
( strictorderP(skaf77(X0))
| skaf77(X0) = app(app(skaf61(skaf77(X0)),cons(skaf59(skaf77(X0)),skaf62(skaf77(X0)))),cons(skaf60(skaf77(X0)),skaf63(skaf77(X0)))) )
| ~ spl0_27
| ~ spl0_194 ),
inference(resolution,[],[f1548,f372]) ).
fof(f15516,plain,
( spl0_650
| ~ spl0_24
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1660,f1547,f359,f15514]) ).
fof(f15514,plain,
( spl0_650
<=> ! [X0] :
( strictorderP(skaf80(X0))
| skaf80(X0) = app(app(skaf61(skaf80(X0)),cons(skaf59(skaf80(X0)),skaf62(skaf80(X0)))),cons(skaf60(skaf80(X0)),skaf63(skaf80(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f1660,plain,
( ! [X0] :
( strictorderP(skaf80(X0))
| skaf80(X0) = app(app(skaf61(skaf80(X0)),cons(skaf59(skaf80(X0)),skaf62(skaf80(X0)))),cons(skaf60(skaf80(X0)),skaf63(skaf80(X0)))) )
| ~ spl0_24
| ~ spl0_194 ),
inference(resolution,[],[f1548,f360]) ).
fof(f15512,plain,
( spl0_649
| ~ spl0_23
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1659,f1547,f355,f15510]) ).
fof(f15510,plain,
( spl0_649
<=> ! [X0] :
( strictorderP(skaf81(X0))
| skaf81(X0) = app(app(skaf61(skaf81(X0)),cons(skaf59(skaf81(X0)),skaf62(skaf81(X0)))),cons(skaf60(skaf81(X0)),skaf63(skaf81(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f1659,plain,
( ! [X0] :
( strictorderP(skaf81(X0))
| skaf81(X0) = app(app(skaf61(skaf81(X0)),cons(skaf59(skaf81(X0)),skaf62(skaf81(X0)))),cons(skaf60(skaf81(X0)),skaf63(skaf81(X0)))) )
| ~ spl0_23
| ~ spl0_194 ),
inference(resolution,[],[f1548,f356]) ).
fof(f15508,plain,
( spl0_648
| ~ spl0_22
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1658,f1547,f351,f15506]) ).
fof(f15506,plain,
( spl0_648
<=> ! [X0] :
( strictorderP(skaf82(X0))
| skaf82(X0) = app(app(skaf61(skaf82(X0)),cons(skaf59(skaf82(X0)),skaf62(skaf82(X0)))),cons(skaf60(skaf82(X0)),skaf63(skaf82(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f1658,plain,
( ! [X0] :
( strictorderP(skaf82(X0))
| skaf82(X0) = app(app(skaf61(skaf82(X0)),cons(skaf59(skaf82(X0)),skaf62(skaf82(X0)))),cons(skaf60(skaf82(X0)),skaf63(skaf82(X0)))) )
| ~ spl0_22
| ~ spl0_194 ),
inference(resolution,[],[f1548,f352]) ).
fof(f15504,plain,
( spl0_647
| ~ spl0_53
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1645,f1543,f475,f15502]) ).
fof(f15502,plain,
( spl0_647
<=> ! [X0] :
( totalorderedP(skaf51(X0))
| skaf51(X0) = app(app(skaf66(skaf51(X0)),cons(skaf64(skaf51(X0)),skaf67(skaf51(X0)))),cons(skaf65(skaf51(X0)),skaf68(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f1645,plain,
( ! [X0] :
( totalorderedP(skaf51(X0))
| skaf51(X0) = app(app(skaf66(skaf51(X0)),cons(skaf64(skaf51(X0)),skaf67(skaf51(X0)))),cons(skaf65(skaf51(X0)),skaf68(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_193 ),
inference(resolution,[],[f1544,f476]) ).
fof(f15500,plain,
( spl0_646
| ~ spl0_52
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1644,f1543,f471,f15498]) ).
fof(f15498,plain,
( spl0_646
<=> ! [X0] :
( totalorderedP(skaf52(X0))
| skaf52(X0) = app(app(skaf66(skaf52(X0)),cons(skaf64(skaf52(X0)),skaf67(skaf52(X0)))),cons(skaf65(skaf52(X0)),skaf68(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f1644,plain,
( ! [X0] :
( totalorderedP(skaf52(X0))
| skaf52(X0) = app(app(skaf66(skaf52(X0)),cons(skaf64(skaf52(X0)),skaf67(skaf52(X0)))),cons(skaf65(skaf52(X0)),skaf68(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_193 ),
inference(resolution,[],[f1544,f472]) ).
fof(f15496,plain,
( spl0_645
| ~ spl0_51
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1643,f1543,f467,f15494]) ).
fof(f15494,plain,
( spl0_645
<=> ! [X0] :
( totalorderedP(skaf53(X0))
| skaf53(X0) = app(app(skaf66(skaf53(X0)),cons(skaf64(skaf53(X0)),skaf67(skaf53(X0)))),cons(skaf65(skaf53(X0)),skaf68(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f1643,plain,
( ! [X0] :
( totalorderedP(skaf53(X0))
| skaf53(X0) = app(app(skaf66(skaf53(X0)),cons(skaf64(skaf53(X0)),skaf67(skaf53(X0)))),cons(skaf65(skaf53(X0)),skaf68(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_193 ),
inference(resolution,[],[f1544,f468]) ).
fof(f15485,plain,
( spl0_644
| ~ spl0_48
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1642,f1543,f455,f15483]) ).
fof(f15483,plain,
( spl0_644
<=> ! [X0] :
( totalorderedP(skaf56(X0))
| skaf56(X0) = app(app(skaf66(skaf56(X0)),cons(skaf64(skaf56(X0)),skaf67(skaf56(X0)))),cons(skaf65(skaf56(X0)),skaf68(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f1642,plain,
( ! [X0] :
( totalorderedP(skaf56(X0))
| skaf56(X0) = app(app(skaf66(skaf56(X0)),cons(skaf64(skaf56(X0)),skaf67(skaf56(X0)))),cons(skaf65(skaf56(X0)),skaf68(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_193 ),
inference(resolution,[],[f1544,f456]) ).
fof(f15481,plain,
( spl0_643
| ~ spl0_47
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1641,f1543,f451,f15479]) ).
fof(f15479,plain,
( spl0_643
<=> ! [X0] :
( totalorderedP(skaf57(X0))
| skaf57(X0) = app(app(skaf66(skaf57(X0)),cons(skaf64(skaf57(X0)),skaf67(skaf57(X0)))),cons(skaf65(skaf57(X0)),skaf68(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f1641,plain,
( ! [X0] :
( totalorderedP(skaf57(X0))
| skaf57(X0) = app(app(skaf66(skaf57(X0)),cons(skaf64(skaf57(X0)),skaf67(skaf57(X0)))),cons(skaf65(skaf57(X0)),skaf68(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_193 ),
inference(resolution,[],[f1544,f452]) ).
fof(f15477,plain,
( spl0_642
| ~ spl0_46
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1640,f1543,f447,f15475]) ).
fof(f15475,plain,
( spl0_642
<=> ! [X0] :
( totalorderedP(skaf58(X0))
| skaf58(X0) = app(app(skaf66(skaf58(X0)),cons(skaf64(skaf58(X0)),skaf67(skaf58(X0)))),cons(skaf65(skaf58(X0)),skaf68(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f1640,plain,
( ! [X0] :
( totalorderedP(skaf58(X0))
| skaf58(X0) = app(app(skaf66(skaf58(X0)),cons(skaf64(skaf58(X0)),skaf67(skaf58(X0)))),cons(skaf65(skaf58(X0)),skaf68(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_193 ),
inference(resolution,[],[f1544,f448]) ).
fof(f15473,plain,
( spl0_641
| ~ spl0_43
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1639,f1543,f435,f15471]) ).
fof(f15471,plain,
( spl0_641
<=> ! [X0] :
( totalorderedP(skaf61(X0))
| skaf61(X0) = app(app(skaf66(skaf61(X0)),cons(skaf64(skaf61(X0)),skaf67(skaf61(X0)))),cons(skaf65(skaf61(X0)),skaf68(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f1639,plain,
( ! [X0] :
( totalorderedP(skaf61(X0))
| skaf61(X0) = app(app(skaf66(skaf61(X0)),cons(skaf64(skaf61(X0)),skaf67(skaf61(X0)))),cons(skaf65(skaf61(X0)),skaf68(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_193 ),
inference(resolution,[],[f1544,f436]) ).
fof(f15469,plain,
( spl0_640
| ~ spl0_42
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1638,f1543,f431,f15467]) ).
fof(f15467,plain,
( spl0_640
<=> ! [X0] :
( totalorderedP(skaf62(X0))
| skaf62(X0) = app(app(skaf66(skaf62(X0)),cons(skaf64(skaf62(X0)),skaf67(skaf62(X0)))),cons(skaf65(skaf62(X0)),skaf68(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f1638,plain,
( ! [X0] :
( totalorderedP(skaf62(X0))
| skaf62(X0) = app(app(skaf66(skaf62(X0)),cons(skaf64(skaf62(X0)),skaf67(skaf62(X0)))),cons(skaf65(skaf62(X0)),skaf68(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_193 ),
inference(resolution,[],[f1544,f432]) ).
fof(f15465,plain,
( spl0_639
| ~ spl0_41
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1637,f1543,f427,f15463]) ).
fof(f15463,plain,
( spl0_639
<=> ! [X0] :
( totalorderedP(skaf63(X0))
| skaf63(X0) = app(app(skaf66(skaf63(X0)),cons(skaf64(skaf63(X0)),skaf67(skaf63(X0)))),cons(skaf65(skaf63(X0)),skaf68(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f1637,plain,
( ! [X0] :
( totalorderedP(skaf63(X0))
| skaf63(X0) = app(app(skaf66(skaf63(X0)),cons(skaf64(skaf63(X0)),skaf67(skaf63(X0)))),cons(skaf65(skaf63(X0)),skaf68(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_193 ),
inference(resolution,[],[f1544,f428]) ).
fof(f15461,plain,
( spl0_638
| ~ spl0_38
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1636,f1543,f415,f15459]) ).
fof(f15459,plain,
( spl0_638
<=> ! [X0] :
( totalorderedP(skaf66(X0))
| skaf66(X0) = app(app(skaf66(skaf66(X0)),cons(skaf64(skaf66(X0)),skaf67(skaf66(X0)))),cons(skaf65(skaf66(X0)),skaf68(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f1636,plain,
( ! [X0] :
( totalorderedP(skaf66(X0))
| skaf66(X0) = app(app(skaf66(skaf66(X0)),cons(skaf64(skaf66(X0)),skaf67(skaf66(X0)))),cons(skaf65(skaf66(X0)),skaf68(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_193 ),
inference(resolution,[],[f1544,f416]) ).
fof(f15457,plain,
( spl0_637
| ~ spl0_37
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1635,f1543,f411,f15455]) ).
fof(f15455,plain,
( spl0_637
<=> ! [X0] :
( totalorderedP(skaf67(X0))
| skaf67(X0) = app(app(skaf66(skaf67(X0)),cons(skaf64(skaf67(X0)),skaf67(skaf67(X0)))),cons(skaf65(skaf67(X0)),skaf68(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f1635,plain,
( ! [X0] :
( totalorderedP(skaf67(X0))
| skaf67(X0) = app(app(skaf66(skaf67(X0)),cons(skaf64(skaf67(X0)),skaf67(skaf67(X0)))),cons(skaf65(skaf67(X0)),skaf68(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_193 ),
inference(resolution,[],[f1544,f412]) ).
fof(f15453,plain,
( spl0_636
| ~ spl0_36
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1634,f1543,f407,f15451]) ).
fof(f15451,plain,
( spl0_636
<=> ! [X0] :
( totalorderedP(skaf68(X0))
| skaf68(X0) = app(app(skaf66(skaf68(X0)),cons(skaf64(skaf68(X0)),skaf67(skaf68(X0)))),cons(skaf65(skaf68(X0)),skaf68(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f1634,plain,
( ! [X0] :
( totalorderedP(skaf68(X0))
| skaf68(X0) = app(app(skaf66(skaf68(X0)),cons(skaf64(skaf68(X0)),skaf67(skaf68(X0)))),cons(skaf65(skaf68(X0)),skaf68(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_193 ),
inference(resolution,[],[f1544,f408]) ).
fof(f15449,plain,
( spl0_635
| ~ spl0_33
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1633,f1543,f395,f15447]) ).
fof(f15447,plain,
( spl0_635
<=> ! [X0] :
( totalorderedP(skaf71(X0))
| skaf71(X0) = app(app(skaf66(skaf71(X0)),cons(skaf64(skaf71(X0)),skaf67(skaf71(X0)))),cons(skaf65(skaf71(X0)),skaf68(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f1633,plain,
( ! [X0] :
( totalorderedP(skaf71(X0))
| skaf71(X0) = app(app(skaf66(skaf71(X0)),cons(skaf64(skaf71(X0)),skaf67(skaf71(X0)))),cons(skaf65(skaf71(X0)),skaf68(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_193 ),
inference(resolution,[],[f1544,f396]) ).
fof(f15438,plain,
( spl0_634
| ~ spl0_32
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1632,f1543,f391,f15436]) ).
fof(f15436,plain,
( spl0_634
<=> ! [X0] :
( totalorderedP(skaf72(X0))
| skaf72(X0) = app(app(skaf66(skaf72(X0)),cons(skaf64(skaf72(X0)),skaf67(skaf72(X0)))),cons(skaf65(skaf72(X0)),skaf68(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f1632,plain,
( ! [X0] :
( totalorderedP(skaf72(X0))
| skaf72(X0) = app(app(skaf66(skaf72(X0)),cons(skaf64(skaf72(X0)),skaf67(skaf72(X0)))),cons(skaf65(skaf72(X0)),skaf68(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_193 ),
inference(resolution,[],[f1544,f392]) ).
fof(f15434,plain,
( spl0_633
| ~ spl0_31
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1631,f1543,f387,f15432]) ).
fof(f15432,plain,
( spl0_633
<=> ! [X0] :
( totalorderedP(skaf73(X0))
| skaf73(X0) = app(app(skaf66(skaf73(X0)),cons(skaf64(skaf73(X0)),skaf67(skaf73(X0)))),cons(skaf65(skaf73(X0)),skaf68(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f1631,plain,
( ! [X0] :
( totalorderedP(skaf73(X0))
| skaf73(X0) = app(app(skaf66(skaf73(X0)),cons(skaf64(skaf73(X0)),skaf67(skaf73(X0)))),cons(skaf65(skaf73(X0)),skaf68(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_193 ),
inference(resolution,[],[f1544,f388]) ).
fof(f15430,plain,
( spl0_632
| ~ spl0_29
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1630,f1543,f379,f15428]) ).
fof(f15428,plain,
( spl0_632
<=> ! [X0] :
( totalorderedP(skaf75(X0))
| skaf75(X0) = app(app(skaf66(skaf75(X0)),cons(skaf64(skaf75(X0)),skaf67(skaf75(X0)))),cons(skaf65(skaf75(X0)),skaf68(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f1630,plain,
( ! [X0] :
( totalorderedP(skaf75(X0))
| skaf75(X0) = app(app(skaf66(skaf75(X0)),cons(skaf64(skaf75(X0)),skaf67(skaf75(X0)))),cons(skaf65(skaf75(X0)),skaf68(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_193 ),
inference(resolution,[],[f1544,f380]) ).
fof(f15426,plain,
( spl0_631
| ~ spl0_28
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1629,f1543,f375,f15424]) ).
fof(f15424,plain,
( spl0_631
<=> ! [X0] :
( totalorderedP(skaf76(X0))
| skaf76(X0) = app(app(skaf66(skaf76(X0)),cons(skaf64(skaf76(X0)),skaf67(skaf76(X0)))),cons(skaf65(skaf76(X0)),skaf68(skaf76(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f1629,plain,
( ! [X0] :
( totalorderedP(skaf76(X0))
| skaf76(X0) = app(app(skaf66(skaf76(X0)),cons(skaf64(skaf76(X0)),skaf67(skaf76(X0)))),cons(skaf65(skaf76(X0)),skaf68(skaf76(X0)))) )
| ~ spl0_28
| ~ spl0_193 ),
inference(resolution,[],[f1544,f376]) ).
fof(f15422,plain,
( spl0_630
| ~ spl0_27
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1628,f1543,f371,f15420]) ).
fof(f15420,plain,
( spl0_630
<=> ! [X0] :
( totalorderedP(skaf77(X0))
| skaf77(X0) = app(app(skaf66(skaf77(X0)),cons(skaf64(skaf77(X0)),skaf67(skaf77(X0)))),cons(skaf65(skaf77(X0)),skaf68(skaf77(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1628,plain,
( ! [X0] :
( totalorderedP(skaf77(X0))
| skaf77(X0) = app(app(skaf66(skaf77(X0)),cons(skaf64(skaf77(X0)),skaf67(skaf77(X0)))),cons(skaf65(skaf77(X0)),skaf68(skaf77(X0)))) )
| ~ spl0_27
| ~ spl0_193 ),
inference(resolution,[],[f1544,f372]) ).
fof(f15418,plain,
( spl0_629
| ~ spl0_24
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1627,f1543,f359,f15416]) ).
fof(f15416,plain,
( spl0_629
<=> ! [X0] :
( totalorderedP(skaf80(X0))
| skaf80(X0) = app(app(skaf66(skaf80(X0)),cons(skaf64(skaf80(X0)),skaf67(skaf80(X0)))),cons(skaf65(skaf80(X0)),skaf68(skaf80(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f1627,plain,
( ! [X0] :
( totalorderedP(skaf80(X0))
| skaf80(X0) = app(app(skaf66(skaf80(X0)),cons(skaf64(skaf80(X0)),skaf67(skaf80(X0)))),cons(skaf65(skaf80(X0)),skaf68(skaf80(X0)))) )
| ~ spl0_24
| ~ spl0_193 ),
inference(resolution,[],[f1544,f360]) ).
fof(f15414,plain,
( spl0_628
| ~ spl0_23
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1626,f1543,f355,f15412]) ).
fof(f15412,plain,
( spl0_628
<=> ! [X0] :
( totalorderedP(skaf81(X0))
| skaf81(X0) = app(app(skaf66(skaf81(X0)),cons(skaf64(skaf81(X0)),skaf67(skaf81(X0)))),cons(skaf65(skaf81(X0)),skaf68(skaf81(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f1626,plain,
( ! [X0] :
( totalorderedP(skaf81(X0))
| skaf81(X0) = app(app(skaf66(skaf81(X0)),cons(skaf64(skaf81(X0)),skaf67(skaf81(X0)))),cons(skaf65(skaf81(X0)),skaf68(skaf81(X0)))) )
| ~ spl0_23
| ~ spl0_193 ),
inference(resolution,[],[f1544,f356]) ).
fof(f15410,plain,
( spl0_627
| ~ spl0_22
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1625,f1543,f351,f15408]) ).
fof(f15408,plain,
( spl0_627
<=> ! [X0] :
( totalorderedP(skaf82(X0))
| skaf82(X0) = app(app(skaf66(skaf82(X0)),cons(skaf64(skaf82(X0)),skaf67(skaf82(X0)))),cons(skaf65(skaf82(X0)),skaf68(skaf82(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1625,plain,
( ! [X0] :
( totalorderedP(skaf82(X0))
| skaf82(X0) = app(app(skaf66(skaf82(X0)),cons(skaf64(skaf82(X0)),skaf67(skaf82(X0)))),cons(skaf65(skaf82(X0)),skaf68(skaf82(X0)))) )
| ~ spl0_22
| ~ spl0_193 ),
inference(resolution,[],[f1544,f352]) ).
fof(f15406,plain,
( spl0_626
| ~ spl0_53
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1612,f1539,f475,f15404]) ).
fof(f15404,plain,
( spl0_626
<=> ! [X0] :
( strictorderedP(skaf51(X0))
| skaf51(X0) = app(app(skaf71(skaf51(X0)),cons(skaf69(skaf51(X0)),skaf72(skaf51(X0)))),cons(skaf70(skaf51(X0)),skaf73(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f1612,plain,
( ! [X0] :
( strictorderedP(skaf51(X0))
| skaf51(X0) = app(app(skaf71(skaf51(X0)),cons(skaf69(skaf51(X0)),skaf72(skaf51(X0)))),cons(skaf70(skaf51(X0)),skaf73(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_192 ),
inference(resolution,[],[f1540,f476]) ).
fof(f15402,plain,
( spl0_625
| ~ spl0_52
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1611,f1539,f471,f15400]) ).
fof(f15400,plain,
( spl0_625
<=> ! [X0] :
( strictorderedP(skaf52(X0))
| skaf52(X0) = app(app(skaf71(skaf52(X0)),cons(skaf69(skaf52(X0)),skaf72(skaf52(X0)))),cons(skaf70(skaf52(X0)),skaf73(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f1611,plain,
( ! [X0] :
( strictorderedP(skaf52(X0))
| skaf52(X0) = app(app(skaf71(skaf52(X0)),cons(skaf69(skaf52(X0)),skaf72(skaf52(X0)))),cons(skaf70(skaf52(X0)),skaf73(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_192 ),
inference(resolution,[],[f1540,f472]) ).
fof(f15391,plain,
( spl0_624
| ~ spl0_51
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1610,f1539,f467,f15389]) ).
fof(f15389,plain,
( spl0_624
<=> ! [X0] :
( strictorderedP(skaf53(X0))
| skaf53(X0) = app(app(skaf71(skaf53(X0)),cons(skaf69(skaf53(X0)),skaf72(skaf53(X0)))),cons(skaf70(skaf53(X0)),skaf73(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f1610,plain,
( ! [X0] :
( strictorderedP(skaf53(X0))
| skaf53(X0) = app(app(skaf71(skaf53(X0)),cons(skaf69(skaf53(X0)),skaf72(skaf53(X0)))),cons(skaf70(skaf53(X0)),skaf73(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_192 ),
inference(resolution,[],[f1540,f468]) ).
fof(f15387,plain,
( spl0_623
| ~ spl0_48
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1609,f1539,f455,f15385]) ).
fof(f15385,plain,
( spl0_623
<=> ! [X0] :
( strictorderedP(skaf56(X0))
| skaf56(X0) = app(app(skaf71(skaf56(X0)),cons(skaf69(skaf56(X0)),skaf72(skaf56(X0)))),cons(skaf70(skaf56(X0)),skaf73(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f1609,plain,
( ! [X0] :
( strictorderedP(skaf56(X0))
| skaf56(X0) = app(app(skaf71(skaf56(X0)),cons(skaf69(skaf56(X0)),skaf72(skaf56(X0)))),cons(skaf70(skaf56(X0)),skaf73(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_192 ),
inference(resolution,[],[f1540,f456]) ).
fof(f15383,plain,
( spl0_622
| ~ spl0_47
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1608,f1539,f451,f15381]) ).
fof(f15381,plain,
( spl0_622
<=> ! [X0] :
( strictorderedP(skaf57(X0))
| skaf57(X0) = app(app(skaf71(skaf57(X0)),cons(skaf69(skaf57(X0)),skaf72(skaf57(X0)))),cons(skaf70(skaf57(X0)),skaf73(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f1608,plain,
( ! [X0] :
( strictorderedP(skaf57(X0))
| skaf57(X0) = app(app(skaf71(skaf57(X0)),cons(skaf69(skaf57(X0)),skaf72(skaf57(X0)))),cons(skaf70(skaf57(X0)),skaf73(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_192 ),
inference(resolution,[],[f1540,f452]) ).
fof(f15379,plain,
( spl0_621
| ~ spl0_46
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1607,f1539,f447,f15377]) ).
fof(f15377,plain,
( spl0_621
<=> ! [X0] :
( strictorderedP(skaf58(X0))
| skaf58(X0) = app(app(skaf71(skaf58(X0)),cons(skaf69(skaf58(X0)),skaf72(skaf58(X0)))),cons(skaf70(skaf58(X0)),skaf73(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f1607,plain,
( ! [X0] :
( strictorderedP(skaf58(X0))
| skaf58(X0) = app(app(skaf71(skaf58(X0)),cons(skaf69(skaf58(X0)),skaf72(skaf58(X0)))),cons(skaf70(skaf58(X0)),skaf73(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_192 ),
inference(resolution,[],[f1540,f448]) ).
fof(f15375,plain,
( spl0_620
| ~ spl0_43
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1606,f1539,f435,f15373]) ).
fof(f15373,plain,
( spl0_620
<=> ! [X0] :
( strictorderedP(skaf61(X0))
| skaf61(X0) = app(app(skaf71(skaf61(X0)),cons(skaf69(skaf61(X0)),skaf72(skaf61(X0)))),cons(skaf70(skaf61(X0)),skaf73(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f1606,plain,
( ! [X0] :
( strictorderedP(skaf61(X0))
| skaf61(X0) = app(app(skaf71(skaf61(X0)),cons(skaf69(skaf61(X0)),skaf72(skaf61(X0)))),cons(skaf70(skaf61(X0)),skaf73(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_192 ),
inference(resolution,[],[f1540,f436]) ).
fof(f15371,plain,
( spl0_619
| ~ spl0_42
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1605,f1539,f431,f15369]) ).
fof(f15369,plain,
( spl0_619
<=> ! [X0] :
( strictorderedP(skaf62(X0))
| skaf62(X0) = app(app(skaf71(skaf62(X0)),cons(skaf69(skaf62(X0)),skaf72(skaf62(X0)))),cons(skaf70(skaf62(X0)),skaf73(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f1605,plain,
( ! [X0] :
( strictorderedP(skaf62(X0))
| skaf62(X0) = app(app(skaf71(skaf62(X0)),cons(skaf69(skaf62(X0)),skaf72(skaf62(X0)))),cons(skaf70(skaf62(X0)),skaf73(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_192 ),
inference(resolution,[],[f1540,f432]) ).
fof(f15367,plain,
( spl0_618
| ~ spl0_41
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1604,f1539,f427,f15365]) ).
fof(f15365,plain,
( spl0_618
<=> ! [X0] :
( strictorderedP(skaf63(X0))
| skaf63(X0) = app(app(skaf71(skaf63(X0)),cons(skaf69(skaf63(X0)),skaf72(skaf63(X0)))),cons(skaf70(skaf63(X0)),skaf73(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f1604,plain,
( ! [X0] :
( strictorderedP(skaf63(X0))
| skaf63(X0) = app(app(skaf71(skaf63(X0)),cons(skaf69(skaf63(X0)),skaf72(skaf63(X0)))),cons(skaf70(skaf63(X0)),skaf73(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_192 ),
inference(resolution,[],[f1540,f428]) ).
fof(f15363,plain,
( spl0_617
| ~ spl0_38
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1603,f1539,f415,f15361]) ).
fof(f15361,plain,
( spl0_617
<=> ! [X0] :
( strictorderedP(skaf66(X0))
| skaf66(X0) = app(app(skaf71(skaf66(X0)),cons(skaf69(skaf66(X0)),skaf72(skaf66(X0)))),cons(skaf70(skaf66(X0)),skaf73(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f1603,plain,
( ! [X0] :
( strictorderedP(skaf66(X0))
| skaf66(X0) = app(app(skaf71(skaf66(X0)),cons(skaf69(skaf66(X0)),skaf72(skaf66(X0)))),cons(skaf70(skaf66(X0)),skaf73(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_192 ),
inference(resolution,[],[f1540,f416]) ).
fof(f15359,plain,
( spl0_616
| ~ spl0_37
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1602,f1539,f411,f15357]) ).
fof(f15357,plain,
( spl0_616
<=> ! [X0] :
( strictorderedP(skaf67(X0))
| skaf67(X0) = app(app(skaf71(skaf67(X0)),cons(skaf69(skaf67(X0)),skaf72(skaf67(X0)))),cons(skaf70(skaf67(X0)),skaf73(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f1602,plain,
( ! [X0] :
( strictorderedP(skaf67(X0))
| skaf67(X0) = app(app(skaf71(skaf67(X0)),cons(skaf69(skaf67(X0)),skaf72(skaf67(X0)))),cons(skaf70(skaf67(X0)),skaf73(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_192 ),
inference(resolution,[],[f1540,f412]) ).
fof(f15355,plain,
( spl0_615
| ~ spl0_36
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1601,f1539,f407,f15353]) ).
fof(f15353,plain,
( spl0_615
<=> ! [X0] :
( strictorderedP(skaf68(X0))
| skaf68(X0) = app(app(skaf71(skaf68(X0)),cons(skaf69(skaf68(X0)),skaf72(skaf68(X0)))),cons(skaf70(skaf68(X0)),skaf73(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f1601,plain,
( ! [X0] :
( strictorderedP(skaf68(X0))
| skaf68(X0) = app(app(skaf71(skaf68(X0)),cons(skaf69(skaf68(X0)),skaf72(skaf68(X0)))),cons(skaf70(skaf68(X0)),skaf73(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_192 ),
inference(resolution,[],[f1540,f408]) ).
fof(f15351,plain,
( spl0_614
| ~ spl0_33
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1600,f1539,f395,f15349]) ).
fof(f15349,plain,
( spl0_614
<=> ! [X0] :
( strictorderedP(skaf71(X0))
| skaf71(X0) = app(app(skaf71(skaf71(X0)),cons(skaf69(skaf71(X0)),skaf72(skaf71(X0)))),cons(skaf70(skaf71(X0)),skaf73(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f1600,plain,
( ! [X0] :
( strictorderedP(skaf71(X0))
| skaf71(X0) = app(app(skaf71(skaf71(X0)),cons(skaf69(skaf71(X0)),skaf72(skaf71(X0)))),cons(skaf70(skaf71(X0)),skaf73(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_192 ),
inference(resolution,[],[f1540,f396]) ).
fof(f15347,plain,
( spl0_613
| ~ spl0_32
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1599,f1539,f391,f15345]) ).
fof(f15345,plain,
( spl0_613
<=> ! [X0] :
( strictorderedP(skaf72(X0))
| skaf72(X0) = app(app(skaf71(skaf72(X0)),cons(skaf69(skaf72(X0)),skaf72(skaf72(X0)))),cons(skaf70(skaf72(X0)),skaf73(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f1599,plain,
( ! [X0] :
( strictorderedP(skaf72(X0))
| skaf72(X0) = app(app(skaf71(skaf72(X0)),cons(skaf69(skaf72(X0)),skaf72(skaf72(X0)))),cons(skaf70(skaf72(X0)),skaf73(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_192 ),
inference(resolution,[],[f1540,f392]) ).
fof(f15343,plain,
( spl0_612
| ~ spl0_31
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1598,f1539,f387,f15341]) ).
fof(f15341,plain,
( spl0_612
<=> ! [X0] :
( strictorderedP(skaf73(X0))
| skaf73(X0) = app(app(skaf71(skaf73(X0)),cons(skaf69(skaf73(X0)),skaf72(skaf73(X0)))),cons(skaf70(skaf73(X0)),skaf73(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f1598,plain,
( ! [X0] :
( strictorderedP(skaf73(X0))
| skaf73(X0) = app(app(skaf71(skaf73(X0)),cons(skaf69(skaf73(X0)),skaf72(skaf73(X0)))),cons(skaf70(skaf73(X0)),skaf73(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_192 ),
inference(resolution,[],[f1540,f388]) ).
fof(f15339,plain,
( spl0_611
| ~ spl0_29
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1597,f1539,f379,f15337]) ).
fof(f15337,plain,
( spl0_611
<=> ! [X0] :
( strictorderedP(skaf75(X0))
| skaf75(X0) = app(app(skaf71(skaf75(X0)),cons(skaf69(skaf75(X0)),skaf72(skaf75(X0)))),cons(skaf70(skaf75(X0)),skaf73(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f1597,plain,
( ! [X0] :
( strictorderedP(skaf75(X0))
| skaf75(X0) = app(app(skaf71(skaf75(X0)),cons(skaf69(skaf75(X0)),skaf72(skaf75(X0)))),cons(skaf70(skaf75(X0)),skaf73(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_192 ),
inference(resolution,[],[f1540,f380]) ).
fof(f15335,plain,
( spl0_610
| ~ spl0_28
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1596,f1539,f375,f15333]) ).
fof(f15333,plain,
( spl0_610
<=> ! [X0] :
( strictorderedP(skaf76(X0))
| skaf76(X0) = app(app(skaf71(skaf76(X0)),cons(skaf69(skaf76(X0)),skaf72(skaf76(X0)))),cons(skaf70(skaf76(X0)),skaf73(skaf76(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f1596,plain,
( ! [X0] :
( strictorderedP(skaf76(X0))
| skaf76(X0) = app(app(skaf71(skaf76(X0)),cons(skaf69(skaf76(X0)),skaf72(skaf76(X0)))),cons(skaf70(skaf76(X0)),skaf73(skaf76(X0)))) )
| ~ spl0_28
| ~ spl0_192 ),
inference(resolution,[],[f1540,f376]) ).
fof(f15331,plain,
( spl0_609
| ~ spl0_27
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1595,f1539,f371,f15329]) ).
fof(f15329,plain,
( spl0_609
<=> ! [X0] :
( strictorderedP(skaf77(X0))
| skaf77(X0) = app(app(skaf71(skaf77(X0)),cons(skaf69(skaf77(X0)),skaf72(skaf77(X0)))),cons(skaf70(skaf77(X0)),skaf73(skaf77(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f1595,plain,
( ! [X0] :
( strictorderedP(skaf77(X0))
| skaf77(X0) = app(app(skaf71(skaf77(X0)),cons(skaf69(skaf77(X0)),skaf72(skaf77(X0)))),cons(skaf70(skaf77(X0)),skaf73(skaf77(X0)))) )
| ~ spl0_27
| ~ spl0_192 ),
inference(resolution,[],[f1540,f372]) ).
fof(f15327,plain,
( spl0_608
| ~ spl0_24
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1594,f1539,f359,f15325]) ).
fof(f15325,plain,
( spl0_608
<=> ! [X0] :
( strictorderedP(skaf80(X0))
| skaf80(X0) = app(app(skaf71(skaf80(X0)),cons(skaf69(skaf80(X0)),skaf72(skaf80(X0)))),cons(skaf70(skaf80(X0)),skaf73(skaf80(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f1594,plain,
( ! [X0] :
( strictorderedP(skaf80(X0))
| skaf80(X0) = app(app(skaf71(skaf80(X0)),cons(skaf69(skaf80(X0)),skaf72(skaf80(X0)))),cons(skaf70(skaf80(X0)),skaf73(skaf80(X0)))) )
| ~ spl0_24
| ~ spl0_192 ),
inference(resolution,[],[f1540,f360]) ).
fof(f15323,plain,
( spl0_607
| ~ spl0_23
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1593,f1539,f355,f15321]) ).
fof(f15321,plain,
( spl0_607
<=> ! [X0] :
( strictorderedP(skaf81(X0))
| skaf81(X0) = app(app(skaf71(skaf81(X0)),cons(skaf69(skaf81(X0)),skaf72(skaf81(X0)))),cons(skaf70(skaf81(X0)),skaf73(skaf81(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f1593,plain,
( ! [X0] :
( strictorderedP(skaf81(X0))
| skaf81(X0) = app(app(skaf71(skaf81(X0)),cons(skaf69(skaf81(X0)),skaf72(skaf81(X0)))),cons(skaf70(skaf81(X0)),skaf73(skaf81(X0)))) )
| ~ spl0_23
| ~ spl0_192 ),
inference(resolution,[],[f1540,f356]) ).
fof(f15319,plain,
( spl0_606
| ~ spl0_22
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1592,f1539,f351,f15317]) ).
fof(f15317,plain,
( spl0_606
<=> ! [X0] :
( strictorderedP(skaf82(X0))
| skaf82(X0) = app(app(skaf71(skaf82(X0)),cons(skaf69(skaf82(X0)),skaf72(skaf82(X0)))),cons(skaf70(skaf82(X0)),skaf73(skaf82(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f1592,plain,
( ! [X0] :
( strictorderedP(skaf82(X0))
| skaf82(X0) = app(app(skaf71(skaf82(X0)),cons(skaf69(skaf82(X0)),skaf72(skaf82(X0)))),cons(skaf70(skaf82(X0)),skaf73(skaf82(X0)))) )
| ~ spl0_22
| ~ spl0_192 ),
inference(resolution,[],[f1540,f352]) ).
fof(f15315,plain,
( spl0_605
| ~ spl0_53
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1579,f1535,f475,f15313]) ).
fof(f15313,plain,
( spl0_605
<=> ! [X0] :
( duplicatefreeP(skaf51(X0))
| skaf51(X0) = app(app(skaf75(skaf51(X0)),cons(skaf74(skaf51(X0)),skaf76(skaf51(X0)))),cons(skaf74(skaf51(X0)),skaf77(skaf51(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f1579,plain,
( ! [X0] :
( duplicatefreeP(skaf51(X0))
| skaf51(X0) = app(app(skaf75(skaf51(X0)),cons(skaf74(skaf51(X0)),skaf76(skaf51(X0)))),cons(skaf74(skaf51(X0)),skaf77(skaf51(X0)))) )
| ~ spl0_53
| ~ spl0_191 ),
inference(resolution,[],[f1536,f476]) ).
fof(f15311,plain,
( ~ spl0_5
| spl0_604
| ~ spl0_85
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f14026,f8909,f632,f15308,f264]) ).
fof(f15308,plain,
( spl0_604
<=> equalelemsP(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f632,plain,
( spl0_85
<=> ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f14026,plain,
( equalelemsP(app(sk3,sk4))
| ~ ssItem(sk6)
| ~ spl0_85
| ~ spl0_431 ),
inference(superposition,[],[f633,f8911]) ).
fof(f633,plain,
( ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f15306,plain,
( spl0_603
| ~ spl0_52
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1578,f1535,f471,f15304]) ).
fof(f15304,plain,
( spl0_603
<=> ! [X0] :
( duplicatefreeP(skaf52(X0))
| skaf52(X0) = app(app(skaf75(skaf52(X0)),cons(skaf74(skaf52(X0)),skaf76(skaf52(X0)))),cons(skaf74(skaf52(X0)),skaf77(skaf52(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f1578,plain,
( ! [X0] :
( duplicatefreeP(skaf52(X0))
| skaf52(X0) = app(app(skaf75(skaf52(X0)),cons(skaf74(skaf52(X0)),skaf76(skaf52(X0)))),cons(skaf74(skaf52(X0)),skaf77(skaf52(X0)))) )
| ~ spl0_52
| ~ spl0_191 ),
inference(resolution,[],[f1536,f472]) ).
fof(f15302,plain,
( spl0_602
| ~ spl0_51
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1577,f1535,f467,f15300]) ).
fof(f15300,plain,
( spl0_602
<=> ! [X0] :
( duplicatefreeP(skaf53(X0))
| skaf53(X0) = app(app(skaf75(skaf53(X0)),cons(skaf74(skaf53(X0)),skaf76(skaf53(X0)))),cons(skaf74(skaf53(X0)),skaf77(skaf53(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1577,plain,
( ! [X0] :
( duplicatefreeP(skaf53(X0))
| skaf53(X0) = app(app(skaf75(skaf53(X0)),cons(skaf74(skaf53(X0)),skaf76(skaf53(X0)))),cons(skaf74(skaf53(X0)),skaf77(skaf53(X0)))) )
| ~ spl0_51
| ~ spl0_191 ),
inference(resolution,[],[f1536,f468]) ).
fof(f15298,plain,
( spl0_601
| ~ spl0_48
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1576,f1535,f455,f15296]) ).
fof(f15296,plain,
( spl0_601
<=> ! [X0] :
( duplicatefreeP(skaf56(X0))
| skaf56(X0) = app(app(skaf75(skaf56(X0)),cons(skaf74(skaf56(X0)),skaf76(skaf56(X0)))),cons(skaf74(skaf56(X0)),skaf77(skaf56(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f1576,plain,
( ! [X0] :
( duplicatefreeP(skaf56(X0))
| skaf56(X0) = app(app(skaf75(skaf56(X0)),cons(skaf74(skaf56(X0)),skaf76(skaf56(X0)))),cons(skaf74(skaf56(X0)),skaf77(skaf56(X0)))) )
| ~ spl0_48
| ~ spl0_191 ),
inference(resolution,[],[f1536,f456]) ).
fof(f15294,plain,
( spl0_600
| ~ spl0_47
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1575,f1535,f451,f15292]) ).
fof(f15292,plain,
( spl0_600
<=> ! [X0] :
( duplicatefreeP(skaf57(X0))
| skaf57(X0) = app(app(skaf75(skaf57(X0)),cons(skaf74(skaf57(X0)),skaf76(skaf57(X0)))),cons(skaf74(skaf57(X0)),skaf77(skaf57(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f1575,plain,
( ! [X0] :
( duplicatefreeP(skaf57(X0))
| skaf57(X0) = app(app(skaf75(skaf57(X0)),cons(skaf74(skaf57(X0)),skaf76(skaf57(X0)))),cons(skaf74(skaf57(X0)),skaf77(skaf57(X0)))) )
| ~ spl0_47
| ~ spl0_191 ),
inference(resolution,[],[f1536,f452]) ).
fof(f15290,plain,
( spl0_599
| ~ spl0_46
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1574,f1535,f447,f15288]) ).
fof(f15288,plain,
( spl0_599
<=> ! [X0] :
( duplicatefreeP(skaf58(X0))
| skaf58(X0) = app(app(skaf75(skaf58(X0)),cons(skaf74(skaf58(X0)),skaf76(skaf58(X0)))),cons(skaf74(skaf58(X0)),skaf77(skaf58(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f1574,plain,
( ! [X0] :
( duplicatefreeP(skaf58(X0))
| skaf58(X0) = app(app(skaf75(skaf58(X0)),cons(skaf74(skaf58(X0)),skaf76(skaf58(X0)))),cons(skaf74(skaf58(X0)),skaf77(skaf58(X0)))) )
| ~ spl0_46
| ~ spl0_191 ),
inference(resolution,[],[f1536,f448]) ).
fof(f15286,plain,
( spl0_598
| ~ spl0_43
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1573,f1535,f435,f15284]) ).
fof(f15284,plain,
( spl0_598
<=> ! [X0] :
( duplicatefreeP(skaf61(X0))
| skaf61(X0) = app(app(skaf75(skaf61(X0)),cons(skaf74(skaf61(X0)),skaf76(skaf61(X0)))),cons(skaf74(skaf61(X0)),skaf77(skaf61(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f1573,plain,
( ! [X0] :
( duplicatefreeP(skaf61(X0))
| skaf61(X0) = app(app(skaf75(skaf61(X0)),cons(skaf74(skaf61(X0)),skaf76(skaf61(X0)))),cons(skaf74(skaf61(X0)),skaf77(skaf61(X0)))) )
| ~ spl0_43
| ~ spl0_191 ),
inference(resolution,[],[f1536,f436]) ).
fof(f15282,plain,
( spl0_597
| ~ spl0_42
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1572,f1535,f431,f15280]) ).
fof(f15280,plain,
( spl0_597
<=> ! [X0] :
( duplicatefreeP(skaf62(X0))
| skaf62(X0) = app(app(skaf75(skaf62(X0)),cons(skaf74(skaf62(X0)),skaf76(skaf62(X0)))),cons(skaf74(skaf62(X0)),skaf77(skaf62(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f1572,plain,
( ! [X0] :
( duplicatefreeP(skaf62(X0))
| skaf62(X0) = app(app(skaf75(skaf62(X0)),cons(skaf74(skaf62(X0)),skaf76(skaf62(X0)))),cons(skaf74(skaf62(X0)),skaf77(skaf62(X0)))) )
| ~ spl0_42
| ~ spl0_191 ),
inference(resolution,[],[f1536,f432]) ).
fof(f15278,plain,
( spl0_596
| ~ spl0_41
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1571,f1535,f427,f15276]) ).
fof(f15276,plain,
( spl0_596
<=> ! [X0] :
( duplicatefreeP(skaf63(X0))
| skaf63(X0) = app(app(skaf75(skaf63(X0)),cons(skaf74(skaf63(X0)),skaf76(skaf63(X0)))),cons(skaf74(skaf63(X0)),skaf77(skaf63(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f1571,plain,
( ! [X0] :
( duplicatefreeP(skaf63(X0))
| skaf63(X0) = app(app(skaf75(skaf63(X0)),cons(skaf74(skaf63(X0)),skaf76(skaf63(X0)))),cons(skaf74(skaf63(X0)),skaf77(skaf63(X0)))) )
| ~ spl0_41
| ~ spl0_191 ),
inference(resolution,[],[f1536,f428]) ).
fof(f15274,plain,
( spl0_595
| ~ spl0_38
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1570,f1535,f415,f15272]) ).
fof(f15272,plain,
( spl0_595
<=> ! [X0] :
( duplicatefreeP(skaf66(X0))
| skaf66(X0) = app(app(skaf75(skaf66(X0)),cons(skaf74(skaf66(X0)),skaf76(skaf66(X0)))),cons(skaf74(skaf66(X0)),skaf77(skaf66(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f1570,plain,
( ! [X0] :
( duplicatefreeP(skaf66(X0))
| skaf66(X0) = app(app(skaf75(skaf66(X0)),cons(skaf74(skaf66(X0)),skaf76(skaf66(X0)))),cons(skaf74(skaf66(X0)),skaf77(skaf66(X0)))) )
| ~ spl0_38
| ~ spl0_191 ),
inference(resolution,[],[f1536,f416]) ).
fof(f15270,plain,
( spl0_594
| ~ spl0_37
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1569,f1535,f411,f15268]) ).
fof(f15268,plain,
( spl0_594
<=> ! [X0] :
( duplicatefreeP(skaf67(X0))
| skaf67(X0) = app(app(skaf75(skaf67(X0)),cons(skaf74(skaf67(X0)),skaf76(skaf67(X0)))),cons(skaf74(skaf67(X0)),skaf77(skaf67(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1569,plain,
( ! [X0] :
( duplicatefreeP(skaf67(X0))
| skaf67(X0) = app(app(skaf75(skaf67(X0)),cons(skaf74(skaf67(X0)),skaf76(skaf67(X0)))),cons(skaf74(skaf67(X0)),skaf77(skaf67(X0)))) )
| ~ spl0_37
| ~ spl0_191 ),
inference(resolution,[],[f1536,f412]) ).
fof(f15266,plain,
( spl0_593
| ~ spl0_36
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1568,f1535,f407,f15264]) ).
fof(f15264,plain,
( spl0_593
<=> ! [X0] :
( duplicatefreeP(skaf68(X0))
| skaf68(X0) = app(app(skaf75(skaf68(X0)),cons(skaf74(skaf68(X0)),skaf76(skaf68(X0)))),cons(skaf74(skaf68(X0)),skaf77(skaf68(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f1568,plain,
( ! [X0] :
( duplicatefreeP(skaf68(X0))
| skaf68(X0) = app(app(skaf75(skaf68(X0)),cons(skaf74(skaf68(X0)),skaf76(skaf68(X0)))),cons(skaf74(skaf68(X0)),skaf77(skaf68(X0)))) )
| ~ spl0_36
| ~ spl0_191 ),
inference(resolution,[],[f1536,f408]) ).
fof(f15262,plain,
( spl0_592
| ~ spl0_33
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1567,f1535,f395,f15260]) ).
fof(f15260,plain,
( spl0_592
<=> ! [X0] :
( duplicatefreeP(skaf71(X0))
| skaf71(X0) = app(app(skaf75(skaf71(X0)),cons(skaf74(skaf71(X0)),skaf76(skaf71(X0)))),cons(skaf74(skaf71(X0)),skaf77(skaf71(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f1567,plain,
( ! [X0] :
( duplicatefreeP(skaf71(X0))
| skaf71(X0) = app(app(skaf75(skaf71(X0)),cons(skaf74(skaf71(X0)),skaf76(skaf71(X0)))),cons(skaf74(skaf71(X0)),skaf77(skaf71(X0)))) )
| ~ spl0_33
| ~ spl0_191 ),
inference(resolution,[],[f1536,f396]) ).
fof(f15258,plain,
( spl0_591
| ~ spl0_32
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1566,f1535,f391,f15256]) ).
fof(f15256,plain,
( spl0_591
<=> ! [X0] :
( duplicatefreeP(skaf72(X0))
| skaf72(X0) = app(app(skaf75(skaf72(X0)),cons(skaf74(skaf72(X0)),skaf76(skaf72(X0)))),cons(skaf74(skaf72(X0)),skaf77(skaf72(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f1566,plain,
( ! [X0] :
( duplicatefreeP(skaf72(X0))
| skaf72(X0) = app(app(skaf75(skaf72(X0)),cons(skaf74(skaf72(X0)),skaf76(skaf72(X0)))),cons(skaf74(skaf72(X0)),skaf77(skaf72(X0)))) )
| ~ spl0_32
| ~ spl0_191 ),
inference(resolution,[],[f1536,f392]) ).
fof(f15254,plain,
( spl0_590
| ~ spl0_31
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1565,f1535,f387,f15252]) ).
fof(f15252,plain,
( spl0_590
<=> ! [X0] :
( duplicatefreeP(skaf73(X0))
| skaf73(X0) = app(app(skaf75(skaf73(X0)),cons(skaf74(skaf73(X0)),skaf76(skaf73(X0)))),cons(skaf74(skaf73(X0)),skaf77(skaf73(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f1565,plain,
( ! [X0] :
( duplicatefreeP(skaf73(X0))
| skaf73(X0) = app(app(skaf75(skaf73(X0)),cons(skaf74(skaf73(X0)),skaf76(skaf73(X0)))),cons(skaf74(skaf73(X0)),skaf77(skaf73(X0)))) )
| ~ spl0_31
| ~ spl0_191 ),
inference(resolution,[],[f1536,f388]) ).
fof(f15250,plain,
( spl0_589
| ~ spl0_29
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1564,f1535,f379,f15248]) ).
fof(f15248,plain,
( spl0_589
<=> ! [X0] :
( duplicatefreeP(skaf75(X0))
| skaf75(X0) = app(app(skaf75(skaf75(X0)),cons(skaf74(skaf75(X0)),skaf76(skaf75(X0)))),cons(skaf74(skaf75(X0)),skaf77(skaf75(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f1564,plain,
( ! [X0] :
( duplicatefreeP(skaf75(X0))
| skaf75(X0) = app(app(skaf75(skaf75(X0)),cons(skaf74(skaf75(X0)),skaf76(skaf75(X0)))),cons(skaf74(skaf75(X0)),skaf77(skaf75(X0)))) )
| ~ spl0_29
| ~ spl0_191 ),
inference(resolution,[],[f1536,f380]) ).
fof(f15246,plain,
( spl0_588
| ~ spl0_116
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1483,f1442,f847,f15244]) ).
fof(f15244,plain,
( spl0_588
<=> ! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1))))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1))))
| ~ ssList(X1) )
| ~ spl0_116
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f1476]) ).
fof(f1476,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1))))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_116
| ~ spl0_181 ),
inference(resolution,[],[f1443,f848]) ).
fof(f15011,plain,
( ~ spl0_5
| spl0_587
| ~ spl0_88
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f14025,f8909,f647,f15008,f264]) ).
fof(f15008,plain,
( spl0_587
<=> duplicatefreeP(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f647,plain,
( spl0_88
<=> ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f14025,plain,
( duplicatefreeP(app(sk3,sk4))
| ~ ssItem(sk6)
| ~ spl0_88
| ~ spl0_431 ),
inference(superposition,[],[f648,f8911]) ).
fof(f648,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f14876,plain,
( spl0_586
| ~ spl0_162
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1527,f1515,f1212,f14874]) ).
fof(f14874,plain,
( spl0_586
<=> ! [X0,X3,X2,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(X0,X1),X2))
| segmentP(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f1527,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(X0,X1),X2))
| segmentP(X3,X1) )
| ~ spl0_162
| ~ spl0_189 ),
inference(duplicate_literal_removal,[],[f1524]) ).
fof(f1524,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ segmentP(X3,app(app(X0,X1),X2))
| segmentP(X3,X1) )
| ~ spl0_162
| ~ spl0_189 ),
inference(resolution,[],[f1516,f1213]) ).
fof(f14872,plain,
( spl0_585
| ~ spl0_103
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1313,f1269,f775,f14870]) ).
fof(f14870,plain,
( spl0_585
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| tl(app(app(X1,X2),X0)) = app(tl(app(X1,X2)),X0)
| ~ ssList(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f1269,plain,
( spl0_168
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f1313,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| tl(app(app(X1,X2),X0)) = app(tl(app(X1,X2)),X0)
| ~ ssList(X1)
| ~ ssList(X2) )
| ~ spl0_103
| ~ spl0_168 ),
inference(resolution,[],[f1270,f776]) ).
fof(f1270,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f14868,plain,
( spl0_584
| ~ spl0_104
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1312,f1269,f779,f14866]) ).
fof(f14866,plain,
( spl0_584
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| tl(app(cons(X1,X2),X0)) = app(tl(cons(X1,X2)),X0)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f1312,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| tl(app(cons(X1,X2),X0)) = app(tl(cons(X1,X2)),X0)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_104
| ~ spl0_168 ),
inference(resolution,[],[f1270,f780]) ).
fof(f14864,plain,
( spl0_583
| ~ spl0_150
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1189,f1115,f1107,f14862]) ).
fof(f14862,plain,
( spl0_583
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f1189,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) )
| ~ spl0_150
| ~ spl0_152 ),
inference(duplicate_literal_removal,[],[f1186]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) )
| ~ spl0_150
| ~ spl0_152 ),
inference(resolution,[],[f1116,f1108]) ).
fof(f14860,plain,
( spl0_582
| ~ spl0_149
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1185,f1111,f1103,f14858]) ).
fof(f14858,plain,
( spl0_582
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f1103,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) )
| ~ spl0_149
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f1182]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ ssList(X1)
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) )
| ~ spl0_149
| ~ spl0_151 ),
inference(resolution,[],[f1112,f1104]) ).
fof(f1104,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f14295,plain,
( spl0_581
| ~ spl0_103
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1421,f1331,f775,f14293]) ).
fof(f14293,plain,
( spl0_581
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(app(X2,X3),X1),X0) = app(app(X2,X3),app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1331,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1421,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(app(X2,X3),X1),X0) = app(app(X2,X3),app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl0_103
| ~ spl0_173 ),
inference(resolution,[],[f1332,f776]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f14291,plain,
( spl0_580
| ~ spl0_104
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1420,f1331,f779,f14289]) ).
fof(f14289,plain,
( spl0_580
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(cons(X2,X3),X1),X0) = app(cons(X2,X3),app(X1,X0))
| ~ ssList(X3)
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1420,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(cons(X2,X3),X1),X0) = app(cons(X2,X3),app(X1,X0))
| ~ ssList(X3)
| ~ ssItem(X2) )
| ~ spl0_104
| ~ spl0_173 ),
inference(resolution,[],[f1332,f780]) ).
fof(f14287,plain,
( spl0_579
| ~ spl0_152
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1260,f1220,f1115,f14285]) ).
fof(f14285,plain,
( spl0_579
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f1260,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) )
| ~ spl0_152
| ~ spl0_164 ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1259,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) )
| ~ spl0_152
| ~ spl0_164 ),
inference(resolution,[],[f1221,f1116]) ).
fof(f14283,plain,
( spl0_578
| ~ spl0_151
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1252,f1216,f1111,f14281]) ).
fof(f14281,plain,
( spl0_578
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f1216,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1252,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) )
| ~ spl0_151
| ~ spl0_163 ),
inference(duplicate_literal_removal,[],[f1251]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) )
| ~ spl0_151
| ~ spl0_163 ),
inference(resolution,[],[f1217,f1112]) ).
fof(f1217,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f14279,plain,
( spl0_577
| ~ spl0_143
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1188,f1115,f1045,f14277]) ).
fof(f1188,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 )
| ~ spl0_143
| ~ spl0_152 ),
inference(duplicate_literal_removal,[],[f1187]) ).
fof(f1187,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 )
| ~ spl0_143
| ~ spl0_152 ),
inference(resolution,[],[f1116,f1046]) ).
fof(f14275,plain,
( spl0_576
| ~ spl0_142
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1184,f1111,f1041,f14273]) ).
fof(f1041,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 )
| ~ spl0_142
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f1183]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 )
| ~ spl0_142
| ~ spl0_151 ),
inference(resolution,[],[f1112,f1042]) ).
fof(f1042,plain,
( ! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f14204,plain,
( ~ spl0_575
| spl0_9
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f14018,f8909,f287,f14201]) ).
fof(f14018,plain,
( sk3 != app(sk3,sk4)
| spl0_9
| ~ spl0_431 ),
inference(superposition,[],[f288,f8911]) ).
fof(f288,plain,
( sk3 != cons(sk6,sk4)
| spl0_9 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f14097,plain,
( spl0_574
| ~ spl0_99
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1422,f1331,f759,f14095]) ).
fof(f14095,plain,
( spl0_574
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(tl(X2),X1),X0) = app(tl(X2),app(X1,X0))
| nil = X2
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f1422,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(tl(X2),X1),X0) = app(tl(X2),app(X1,X0))
| nil = X2
| ~ ssList(X2) )
| ~ spl0_99
| ~ spl0_173 ),
inference(resolution,[],[f1332,f760]) ).
fof(f14093,plain,
( spl0_573
| ~ spl0_99
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1314,f1269,f759,f14091]) ).
fof(f14091,plain,
( spl0_573
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| tl(app(tl(X1),X0)) = app(tl(tl(X1)),X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f1314,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| tl(app(tl(X1),X0)) = app(tl(tl(X1)),X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_99
| ~ spl0_168 ),
inference(resolution,[],[f1270,f760]) ).
fof(f14089,plain,
( spl0_572
| ~ spl0_103
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1164,f1099,f775,f14087]) ).
fof(f14087,plain,
( spl0_572
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| hd(app(app(X1,X2),X0)) = hd(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f1099,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1164,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| hd(app(app(X1,X2),X0)) = hd(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) )
| ~ spl0_103
| ~ spl0_148 ),
inference(resolution,[],[f1100,f776]) ).
fof(f1100,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f14085,plain,
( spl0_571
| ~ spl0_104
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1163,f1099,f779,f14083]) ).
fof(f14083,plain,
( spl0_571
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| hd(app(cons(X1,X2),X0)) = hd(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f1163,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| hd(app(cons(X1,X2),X0)) = hd(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_104
| ~ spl0_148 ),
inference(resolution,[],[f1100,f780]) ).
fof(f14017,plain,
( spl0_570
| ~ spl0_103
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1012,f939,f775,f14015]) ).
fof(f14015,plain,
( spl0_570
<=> ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f939,plain,
( spl0_133
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_133 ),
inference(resolution,[],[f940,f776]) ).
fof(f940,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f14013,plain,
( spl0_569
| ~ spl0_104
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1011,f939,f779,f14011]) ).
fof(f14011,plain,
( spl0_569
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_133 ),
inference(resolution,[],[f940,f780]) ).
fof(f14009,plain,
( spl0_568
| ~ spl0_103
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f979,f935,f775,f14007]) ).
fof(f14007,plain,
( spl0_568
<=> ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f935,plain,
( spl0_132
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f979,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_103
| ~ spl0_132 ),
inference(resolution,[],[f936,f776]) ).
fof(f936,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f14005,plain,
( spl0_567
| ~ spl0_104
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f978,f935,f779,f14003]) ).
fof(f14003,plain,
( spl0_567
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f978,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_132 ),
inference(resolution,[],[f936,f780]) ).
fof(f13937,plain,
( spl0_566
| ~ spl0_2
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f6002,f5670,f250,f13934]) ).
fof(f13934,plain,
( spl0_566
<=> sk4 = app(sk4,skaf45(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f5670,plain,
( spl0_345
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f6002,plain,
( sk4 = app(sk4,skaf45(sk4,sk4))
| ~ spl0_2
| ~ spl0_345 ),
inference(resolution,[],[f5671,f252]) ).
fof(f5671,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f5670]) ).
fof(f13932,plain,
( spl0_565
| ~ spl0_53
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1380,f1327,f475,f13930]) ).
fof(f13930,plain,
( spl0_565
<=> ! [X0] :
( equalelemsP(skaf51(X0))
| skaf51(X0) = app(skaf80(skaf51(X0)),cons(skaf78(skaf51(X0)),cons(skaf79(skaf51(X0)),skaf81(skaf51(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1380,plain,
( ! [X0] :
( equalelemsP(skaf51(X0))
| skaf51(X0) = app(skaf80(skaf51(X0)),cons(skaf78(skaf51(X0)),cons(skaf79(skaf51(X0)),skaf81(skaf51(X0))))) )
| ~ spl0_53
| ~ spl0_172 ),
inference(resolution,[],[f1328,f476]) ).
fof(f13928,plain,
( spl0_564
| ~ spl0_52
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1379,f1327,f471,f13926]) ).
fof(f13926,plain,
( spl0_564
<=> ! [X0] :
( equalelemsP(skaf52(X0))
| skaf52(X0) = app(skaf80(skaf52(X0)),cons(skaf78(skaf52(X0)),cons(skaf79(skaf52(X0)),skaf81(skaf52(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f1379,plain,
( ! [X0] :
( equalelemsP(skaf52(X0))
| skaf52(X0) = app(skaf80(skaf52(X0)),cons(skaf78(skaf52(X0)),cons(skaf79(skaf52(X0)),skaf81(skaf52(X0))))) )
| ~ spl0_52
| ~ spl0_172 ),
inference(resolution,[],[f1328,f472]) ).
fof(f13924,plain,
( spl0_563
| ~ spl0_51
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1378,f1327,f467,f13922]) ).
fof(f13922,plain,
( spl0_563
<=> ! [X0] :
( equalelemsP(skaf53(X0))
| skaf53(X0) = app(skaf80(skaf53(X0)),cons(skaf78(skaf53(X0)),cons(skaf79(skaf53(X0)),skaf81(skaf53(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f1378,plain,
( ! [X0] :
( equalelemsP(skaf53(X0))
| skaf53(X0) = app(skaf80(skaf53(X0)),cons(skaf78(skaf53(X0)),cons(skaf79(skaf53(X0)),skaf81(skaf53(X0))))) )
| ~ spl0_51
| ~ spl0_172 ),
inference(resolution,[],[f1328,f468]) ).
fof(f13920,plain,
( spl0_562
| ~ spl0_48
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1377,f1327,f455,f13918]) ).
fof(f13918,plain,
( spl0_562
<=> ! [X0] :
( equalelemsP(skaf56(X0))
| skaf56(X0) = app(skaf80(skaf56(X0)),cons(skaf78(skaf56(X0)),cons(skaf79(skaf56(X0)),skaf81(skaf56(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f1377,plain,
( ! [X0] :
( equalelemsP(skaf56(X0))
| skaf56(X0) = app(skaf80(skaf56(X0)),cons(skaf78(skaf56(X0)),cons(skaf79(skaf56(X0)),skaf81(skaf56(X0))))) )
| ~ spl0_48
| ~ spl0_172 ),
inference(resolution,[],[f1328,f456]) ).
fof(f13916,plain,
( spl0_561
| ~ spl0_47
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1376,f1327,f451,f13914]) ).
fof(f13914,plain,
( spl0_561
<=> ! [X0] :
( equalelemsP(skaf57(X0))
| skaf57(X0) = app(skaf80(skaf57(X0)),cons(skaf78(skaf57(X0)),cons(skaf79(skaf57(X0)),skaf81(skaf57(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f1376,plain,
( ! [X0] :
( equalelemsP(skaf57(X0))
| skaf57(X0) = app(skaf80(skaf57(X0)),cons(skaf78(skaf57(X0)),cons(skaf79(skaf57(X0)),skaf81(skaf57(X0))))) )
| ~ spl0_47
| ~ spl0_172 ),
inference(resolution,[],[f1328,f452]) ).
fof(f13912,plain,
( spl0_560
| ~ spl0_1
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f6001,f5670,f245,f13909]) ).
fof(f6001,plain,
( sk3 = app(sk3,skaf45(sk3,sk3))
| ~ spl0_1
| ~ spl0_345 ),
inference(resolution,[],[f5671,f247]) ).
fof(f13907,plain,
( spl0_559
| ~ spl0_46
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1375,f1327,f447,f13905]) ).
fof(f13905,plain,
( spl0_559
<=> ! [X0] :
( equalelemsP(skaf58(X0))
| skaf58(X0) = app(skaf80(skaf58(X0)),cons(skaf78(skaf58(X0)),cons(skaf79(skaf58(X0)),skaf81(skaf58(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f1375,plain,
( ! [X0] :
( equalelemsP(skaf58(X0))
| skaf58(X0) = app(skaf80(skaf58(X0)),cons(skaf78(skaf58(X0)),cons(skaf79(skaf58(X0)),skaf81(skaf58(X0))))) )
| ~ spl0_46
| ~ spl0_172 ),
inference(resolution,[],[f1328,f448]) ).
fof(f13903,plain,
( spl0_558
| ~ spl0_43
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1374,f1327,f435,f13901]) ).
fof(f13901,plain,
( spl0_558
<=> ! [X0] :
( equalelemsP(skaf61(X0))
| skaf61(X0) = app(skaf80(skaf61(X0)),cons(skaf78(skaf61(X0)),cons(skaf79(skaf61(X0)),skaf81(skaf61(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f1374,plain,
( ! [X0] :
( equalelemsP(skaf61(X0))
| skaf61(X0) = app(skaf80(skaf61(X0)),cons(skaf78(skaf61(X0)),cons(skaf79(skaf61(X0)),skaf81(skaf61(X0))))) )
| ~ spl0_43
| ~ spl0_172 ),
inference(resolution,[],[f1328,f436]) ).
fof(f13899,plain,
( spl0_557
| ~ spl0_42
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1373,f1327,f431,f13897]) ).
fof(f13897,plain,
( spl0_557
<=> ! [X0] :
( equalelemsP(skaf62(X0))
| skaf62(X0) = app(skaf80(skaf62(X0)),cons(skaf78(skaf62(X0)),cons(skaf79(skaf62(X0)),skaf81(skaf62(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f1373,plain,
( ! [X0] :
( equalelemsP(skaf62(X0))
| skaf62(X0) = app(skaf80(skaf62(X0)),cons(skaf78(skaf62(X0)),cons(skaf79(skaf62(X0)),skaf81(skaf62(X0))))) )
| ~ spl0_42
| ~ spl0_172 ),
inference(resolution,[],[f1328,f432]) ).
fof(f13895,plain,
( spl0_556
| ~ spl0_41
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1372,f1327,f427,f13893]) ).
fof(f13893,plain,
( spl0_556
<=> ! [X0] :
( equalelemsP(skaf63(X0))
| skaf63(X0) = app(skaf80(skaf63(X0)),cons(skaf78(skaf63(X0)),cons(skaf79(skaf63(X0)),skaf81(skaf63(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1372,plain,
( ! [X0] :
( equalelemsP(skaf63(X0))
| skaf63(X0) = app(skaf80(skaf63(X0)),cons(skaf78(skaf63(X0)),cons(skaf79(skaf63(X0)),skaf81(skaf63(X0))))) )
| ~ spl0_41
| ~ spl0_172 ),
inference(resolution,[],[f1328,f428]) ).
fof(f13891,plain,
( spl0_555
| ~ spl0_38
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1371,f1327,f415,f13889]) ).
fof(f13889,plain,
( spl0_555
<=> ! [X0] :
( equalelemsP(skaf66(X0))
| skaf66(X0) = app(skaf80(skaf66(X0)),cons(skaf78(skaf66(X0)),cons(skaf79(skaf66(X0)),skaf81(skaf66(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f1371,plain,
( ! [X0] :
( equalelemsP(skaf66(X0))
| skaf66(X0) = app(skaf80(skaf66(X0)),cons(skaf78(skaf66(X0)),cons(skaf79(skaf66(X0)),skaf81(skaf66(X0))))) )
| ~ spl0_38
| ~ spl0_172 ),
inference(resolution,[],[f1328,f416]) ).
fof(f13887,plain,
( spl0_554
| ~ spl0_37
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1370,f1327,f411,f13885]) ).
fof(f13885,plain,
( spl0_554
<=> ! [X0] :
( equalelemsP(skaf67(X0))
| skaf67(X0) = app(skaf80(skaf67(X0)),cons(skaf78(skaf67(X0)),cons(skaf79(skaf67(X0)),skaf81(skaf67(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f1370,plain,
( ! [X0] :
( equalelemsP(skaf67(X0))
| skaf67(X0) = app(skaf80(skaf67(X0)),cons(skaf78(skaf67(X0)),cons(skaf79(skaf67(X0)),skaf81(skaf67(X0))))) )
| ~ spl0_37
| ~ spl0_172 ),
inference(resolution,[],[f1328,f412]) ).
fof(f13883,plain,
( spl0_553
| ~ spl0_36
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1369,f1327,f407,f13881]) ).
fof(f13881,plain,
( spl0_553
<=> ! [X0] :
( equalelemsP(skaf68(X0))
| skaf68(X0) = app(skaf80(skaf68(X0)),cons(skaf78(skaf68(X0)),cons(skaf79(skaf68(X0)),skaf81(skaf68(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f1369,plain,
( ! [X0] :
( equalelemsP(skaf68(X0))
| skaf68(X0) = app(skaf80(skaf68(X0)),cons(skaf78(skaf68(X0)),cons(skaf79(skaf68(X0)),skaf81(skaf68(X0))))) )
| ~ spl0_36
| ~ spl0_172 ),
inference(resolution,[],[f1328,f408]) ).
fof(f13879,plain,
( spl0_552
| ~ spl0_33
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1368,f1327,f395,f13877]) ).
fof(f13877,plain,
( spl0_552
<=> ! [X0] :
( equalelemsP(skaf71(X0))
| skaf71(X0) = app(skaf80(skaf71(X0)),cons(skaf78(skaf71(X0)),cons(skaf79(skaf71(X0)),skaf81(skaf71(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f1368,plain,
( ! [X0] :
( equalelemsP(skaf71(X0))
| skaf71(X0) = app(skaf80(skaf71(X0)),cons(skaf78(skaf71(X0)),cons(skaf79(skaf71(X0)),skaf81(skaf71(X0))))) )
| ~ spl0_33
| ~ spl0_172 ),
inference(resolution,[],[f1328,f396]) ).
fof(f13875,plain,
( spl0_551
| ~ spl0_32
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1367,f1327,f391,f13873]) ).
fof(f13873,plain,
( spl0_551
<=> ! [X0] :
( equalelemsP(skaf72(X0))
| skaf72(X0) = app(skaf80(skaf72(X0)),cons(skaf78(skaf72(X0)),cons(skaf79(skaf72(X0)),skaf81(skaf72(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f1367,plain,
( ! [X0] :
( equalelemsP(skaf72(X0))
| skaf72(X0) = app(skaf80(skaf72(X0)),cons(skaf78(skaf72(X0)),cons(skaf79(skaf72(X0)),skaf81(skaf72(X0))))) )
| ~ spl0_32
| ~ spl0_172 ),
inference(resolution,[],[f1328,f392]) ).
fof(f13871,plain,
( spl0_550
| ~ spl0_31
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1366,f1327,f387,f13869]) ).
fof(f13869,plain,
( spl0_550
<=> ! [X0] :
( equalelemsP(skaf73(X0))
| skaf73(X0) = app(skaf80(skaf73(X0)),cons(skaf78(skaf73(X0)),cons(skaf79(skaf73(X0)),skaf81(skaf73(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f1366,plain,
( ! [X0] :
( equalelemsP(skaf73(X0))
| skaf73(X0) = app(skaf80(skaf73(X0)),cons(skaf78(skaf73(X0)),cons(skaf79(skaf73(X0)),skaf81(skaf73(X0))))) )
| ~ spl0_31
| ~ spl0_172 ),
inference(resolution,[],[f1328,f388]) ).
fof(f13867,plain,
( spl0_549
| ~ spl0_2
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f5968,f5629,f250,f13864]) ).
fof(f13864,plain,
( spl0_549
<=> sk4 = app(skaf46(sk4,sk4),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f5629,plain,
( spl0_343
<=> ! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f5968,plain,
( sk4 = app(skaf46(sk4,sk4),sk4)
| ~ spl0_2
| ~ spl0_343 ),
inference(resolution,[],[f5630,f252]) ).
fof(f5630,plain,
( ! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f5629]) ).
fof(f13862,plain,
( spl0_548
| ~ spl0_29
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1365,f1327,f379,f13860]) ).
fof(f13860,plain,
( spl0_548
<=> ! [X0] :
( equalelemsP(skaf75(X0))
| skaf75(X0) = app(skaf80(skaf75(X0)),cons(skaf78(skaf75(X0)),cons(skaf79(skaf75(X0)),skaf81(skaf75(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f1365,plain,
( ! [X0] :
( equalelemsP(skaf75(X0))
| skaf75(X0) = app(skaf80(skaf75(X0)),cons(skaf78(skaf75(X0)),cons(skaf79(skaf75(X0)),skaf81(skaf75(X0))))) )
| ~ spl0_29
| ~ spl0_172 ),
inference(resolution,[],[f1328,f380]) ).
fof(f13858,plain,
( spl0_547
| ~ spl0_28
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1364,f1327,f375,f13856]) ).
fof(f13856,plain,
( spl0_547
<=> ! [X0] :
( equalelemsP(skaf76(X0))
| skaf76(X0) = app(skaf80(skaf76(X0)),cons(skaf78(skaf76(X0)),cons(skaf79(skaf76(X0)),skaf81(skaf76(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f1364,plain,
( ! [X0] :
( equalelemsP(skaf76(X0))
| skaf76(X0) = app(skaf80(skaf76(X0)),cons(skaf78(skaf76(X0)),cons(skaf79(skaf76(X0)),skaf81(skaf76(X0))))) )
| ~ spl0_28
| ~ spl0_172 ),
inference(resolution,[],[f1328,f376]) ).
fof(f13854,plain,
( spl0_546
| ~ spl0_27
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1363,f1327,f371,f13852]) ).
fof(f13852,plain,
( spl0_546
<=> ! [X0] :
( equalelemsP(skaf77(X0))
| skaf77(X0) = app(skaf80(skaf77(X0)),cons(skaf78(skaf77(X0)),cons(skaf79(skaf77(X0)),skaf81(skaf77(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f1363,plain,
( ! [X0] :
( equalelemsP(skaf77(X0))
| skaf77(X0) = app(skaf80(skaf77(X0)),cons(skaf78(skaf77(X0)),cons(skaf79(skaf77(X0)),skaf81(skaf77(X0))))) )
| ~ spl0_27
| ~ spl0_172 ),
inference(resolution,[],[f1328,f372]) ).
fof(f13850,plain,
( spl0_545
| ~ spl0_24
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1362,f1327,f359,f13848]) ).
fof(f13848,plain,
( spl0_545
<=> ! [X0] :
( equalelemsP(skaf80(X0))
| skaf80(X0) = app(skaf80(skaf80(X0)),cons(skaf78(skaf80(X0)),cons(skaf79(skaf80(X0)),skaf81(skaf80(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1362,plain,
( ! [X0] :
( equalelemsP(skaf80(X0))
| skaf80(X0) = app(skaf80(skaf80(X0)),cons(skaf78(skaf80(X0)),cons(skaf79(skaf80(X0)),skaf81(skaf80(X0))))) )
| ~ spl0_24
| ~ spl0_172 ),
inference(resolution,[],[f1328,f360]) ).
fof(f13846,plain,
( spl0_544
| ~ spl0_23
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1361,f1327,f355,f13844]) ).
fof(f13844,plain,
( spl0_544
<=> ! [X0] :
( equalelemsP(skaf81(X0))
| skaf81(X0) = app(skaf80(skaf81(X0)),cons(skaf78(skaf81(X0)),cons(skaf79(skaf81(X0)),skaf81(skaf81(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f1361,plain,
( ! [X0] :
( equalelemsP(skaf81(X0))
| skaf81(X0) = app(skaf80(skaf81(X0)),cons(skaf78(skaf81(X0)),cons(skaf79(skaf81(X0)),skaf81(skaf81(X0))))) )
| ~ spl0_23
| ~ spl0_172 ),
inference(resolution,[],[f1328,f356]) ).
fof(f13842,plain,
( spl0_543
| ~ spl0_22
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1360,f1327,f351,f13840]) ).
fof(f13840,plain,
( spl0_543
<=> ! [X0] :
( equalelemsP(skaf82(X0))
| skaf82(X0) = app(skaf80(skaf82(X0)),cons(skaf78(skaf82(X0)),cons(skaf79(skaf82(X0)),skaf81(skaf82(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f1360,plain,
( ! [X0] :
( equalelemsP(skaf82(X0))
| skaf82(X0) = app(skaf80(skaf82(X0)),cons(skaf78(skaf82(X0)),cons(skaf79(skaf82(X0)),skaf81(skaf82(X0))))) )
| ~ spl0_22
| ~ spl0_172 ),
inference(resolution,[],[f1328,f352]) ).
fof(f13702,plain,
( spl0_542
| ~ spl0_1
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f5967,f5629,f245,f13699]) ).
fof(f13699,plain,
( spl0_542
<=> sk3 = app(skaf46(sk3,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f5967,plain,
( sk3 = app(skaf46(sk3,sk3),sk3)
| ~ spl0_1
| ~ spl0_343 ),
inference(resolution,[],[f5630,f247]) ).
fof(f13566,plain,
( spl0_541
| ~ spl0_64
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1311,f1269,f521,f13564]) ).
fof(f13564,plain,
( spl0_541
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| tl(app(skaf42(X1,X2),X0)) = app(tl(skaf42(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1311,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| tl(app(skaf42(X1,X2),X0)) = app(tl(skaf42(X1,X2)),X0) )
| ~ spl0_64
| ~ spl0_168 ),
inference(resolution,[],[f1270,f522]) ).
fof(f13562,plain,
( spl0_540
| ~ spl0_63
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1310,f1269,f517,f13560]) ).
fof(f13560,plain,
( spl0_540
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| tl(app(skaf43(X1,X2),X0)) = app(tl(skaf43(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f1310,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| tl(app(skaf43(X1,X2),X0)) = app(tl(skaf43(X1,X2)),X0) )
| ~ spl0_63
| ~ spl0_168 ),
inference(resolution,[],[f1270,f518]) ).
fof(f13558,plain,
( spl0_539
| ~ spl0_22
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4934,f4515,f4443,f351,f13556]) ).
fof(f13556,plain,
( spl0_539
<=> ! [X0] : sk6 = hd(app(sk3,skaf82(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f4934,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf82(X0)))
| ~ spl0_22
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4481,f4524]) ).
fof(f4481,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf82(X0)))
| ~ spl0_22
| ~ spl0_315 ),
inference(resolution,[],[f4444,f352]) ).
fof(f13554,plain,
( spl0_538
| ~ spl0_62
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1309,f1269,f513,f13552]) ).
fof(f13552,plain,
( spl0_538
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| tl(app(skaf45(X1,X2),X0)) = app(tl(skaf45(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1309,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| tl(app(skaf45(X1,X2),X0)) = app(tl(skaf45(X1,X2)),X0) )
| ~ spl0_62
| ~ spl0_168 ),
inference(resolution,[],[f1270,f514]) ).
fof(f13550,plain,
( spl0_537
| ~ spl0_61
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1308,f1269,f509,f13548]) ).
fof(f13548,plain,
( spl0_537
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| tl(app(skaf46(X1,X2),X0)) = app(tl(skaf46(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1308,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| tl(app(skaf46(X1,X2),X0)) = app(tl(skaf46(X1,X2)),X0) )
| ~ spl0_61
| ~ spl0_168 ),
inference(resolution,[],[f1270,f510]) ).
fof(f13546,plain,
( spl0_536
| ~ spl0_60
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1307,f1269,f505,f13544]) ).
fof(f13544,plain,
( spl0_536
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| tl(app(skaf47(X1,X2),X0)) = app(tl(skaf47(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f1307,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| tl(app(skaf47(X1,X2),X0)) = app(tl(skaf47(X1,X2)),X0) )
| ~ spl0_60
| ~ spl0_168 ),
inference(resolution,[],[f1270,f506]) ).
fof(f13542,plain,
( spl0_535
| ~ spl0_59
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1306,f1269,f501,f13540]) ).
fof(f13540,plain,
( spl0_535
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| tl(app(skaf48(X1,X2),X0)) = app(tl(skaf48(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f1306,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| tl(app(skaf48(X1,X2),X0)) = app(tl(skaf48(X1,X2)),X0) )
| ~ spl0_59
| ~ spl0_168 ),
inference(resolution,[],[f1270,f502]) ).
fof(f13538,plain,
( spl0_534
| ~ spl0_106
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1266,f1228,f806,f13536]) ).
fof(f13536,plain,
( spl0_534
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf49(X1))
| leq(X0,skaf50(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f806,plain,
( spl0_106
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1228,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1266,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf49(X1))
| leq(X0,skaf50(X1))
| cyclefreeP(X1)
| ~ ssList(X1) )
| ~ spl0_106
| ~ spl0_166 ),
inference(resolution,[],[f1229,f807]) ).
fof(f807,plain,
( ! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1229,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f13534,plain,
( spl0_533
| ~ spl0_105
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1265,f1228,f802,f13532]) ).
fof(f13532,plain,
( spl0_533
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf50(X1))
| ~ ssItem(skaf49(X1))
| ~ leq(X0,skaf50(X1))
| leq(X0,skaf49(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f802,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1265,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf50(X1))
| ~ ssItem(skaf49(X1))
| ~ leq(X0,skaf50(X1))
| leq(X0,skaf49(X1))
| cyclefreeP(X1)
| ~ ssList(X1) )
| ~ spl0_105
| ~ spl0_166 ),
inference(resolution,[],[f1229,f803]) ).
fof(f803,plain,
( ! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f13530,plain,
( spl0_532
| ~ spl0_99
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1165,f1099,f759,f13528]) ).
fof(f13528,plain,
( spl0_532
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| hd(app(tl(X1),X0)) = hd(tl(X1))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| hd(app(tl(X1),X0)) = hd(tl(X1))
| nil = X1
| ~ ssList(X1) )
| ~ spl0_99
| ~ spl0_148 ),
inference(resolution,[],[f1100,f760]) ).
fof(f13526,plain,
( spl0_531
| ~ spl0_106
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1092,f1054,f806,f13524]) ).
fof(f13524,plain,
( spl0_531
<=> ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f1054,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1092,plain,
( ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_106
| ~ spl0_145 ),
inference(resolution,[],[f1055,f807]) ).
fof(f1055,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f13522,plain,
( spl0_530
| ~ spl0_105
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1091,f1054,f802,f13520]) ).
fof(f13520,plain,
( spl0_530
<=> ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f1091,plain,
( ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_105
| ~ spl0_145 ),
inference(resolution,[],[f1055,f803]) ).
fof(f13518,plain,
( spl0_529
| ~ spl0_106
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1068,f1021,f806,f13516]) ).
fof(f13516,plain,
( spl0_529
<=> ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| skaf50(X0) = skaf49(X0)
| lt(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f1021,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1068,plain,
( ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| skaf50(X0) = skaf49(X0)
| lt(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_106
| ~ spl0_137 ),
inference(resolution,[],[f1022,f807]) ).
fof(f1022,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1
| lt(X0,X1) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f13514,plain,
( spl0_528
| ~ spl0_23
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4933,f4515,f4443,f355,f13512]) ).
fof(f13512,plain,
( spl0_528
<=> ! [X0] : sk6 = hd(app(sk3,skaf81(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f4933,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf81(X0)))
| ~ spl0_23
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4482,f4525]) ).
fof(f4482,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf81(X0)))
| ~ spl0_23
| ~ spl0_315 ),
inference(resolution,[],[f4444,f356]) ).
fof(f13510,plain,
( spl0_527
| ~ spl0_105
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1067,f1021,f802,f13508]) ).
fof(f13508,plain,
( spl0_527
<=> ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| skaf50(X0) = skaf49(X0)
| lt(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f1067,plain,
( ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| skaf50(X0) = skaf49(X0)
| lt(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_105
| ~ spl0_137 ),
inference(resolution,[],[f1022,f803]) ).
fof(f12953,plain,
( spl0_526
| ~ spl0_24
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4932,f4515,f4443,f359,f12951]) ).
fof(f12951,plain,
( spl0_526
<=> ! [X0] : sk6 = hd(app(sk3,skaf80(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f4932,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf80(X0)))
| ~ spl0_24
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4483,f4526]) ).
fof(f4483,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf80(X0)))
| ~ spl0_24
| ~ spl0_315 ),
inference(resolution,[],[f4444,f360]) ).
fof(f12916,plain,
( spl0_525
| ~ spl0_64
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1419,f1331,f521,f12914]) ).
fof(f12914,plain,
( spl0_525
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf42(X2,X3),X1),X0) = app(skaf42(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1419,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf42(X2,X3),X1),X0) = app(skaf42(X2,X3),app(X1,X0)) )
| ~ spl0_64
| ~ spl0_173 ),
inference(resolution,[],[f1332,f522]) ).
fof(f12912,plain,
( spl0_524
| ~ spl0_63
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1418,f1331,f517,f12910]) ).
fof(f12910,plain,
( spl0_524
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf43(X2,X3),X1),X0) = app(skaf43(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1418,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf43(X2,X3),X1),X0) = app(skaf43(X2,X3),app(X1,X0)) )
| ~ spl0_63
| ~ spl0_173 ),
inference(resolution,[],[f1332,f518]) ).
fof(f12908,plain,
( spl0_523
| ~ spl0_62
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1417,f1331,f513,f12906]) ).
fof(f12906,plain,
( spl0_523
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf45(X2,X3),X1),X0) = app(skaf45(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1417,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf45(X2,X3),X1),X0) = app(skaf45(X2,X3),app(X1,X0)) )
| ~ spl0_62
| ~ spl0_173 ),
inference(resolution,[],[f1332,f514]) ).
fof(f12904,plain,
( spl0_522
| ~ spl0_61
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1416,f1331,f509,f12902]) ).
fof(f12902,plain,
( spl0_522
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf46(X2,X3),X1),X0) = app(skaf46(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1416,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf46(X2,X3),X1),X0) = app(skaf46(X2,X3),app(X1,X0)) )
| ~ spl0_61
| ~ spl0_173 ),
inference(resolution,[],[f1332,f510]) ).
fof(f12900,plain,
( spl0_521
| ~ spl0_60
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1415,f1331,f505,f12898]) ).
fof(f12898,plain,
( spl0_521
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X2,X3),X1),X0) = app(skaf47(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1415,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X2,X3),X1),X0) = app(skaf47(X2,X3),app(X1,X0)) )
| ~ spl0_60
| ~ spl0_173 ),
inference(resolution,[],[f1332,f506]) ).
fof(f12896,plain,
( spl0_520
| ~ spl0_59
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1414,f1331,f501,f12894]) ).
fof(f12894,plain,
( spl0_520
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf48(X2,X3),X1),X0) = app(skaf48(X2,X3),app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f1414,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf48(X2,X3),X1),X0) = app(skaf48(X2,X3),app(X1,X0)) )
| ~ spl0_59
| ~ spl0_173 ),
inference(resolution,[],[f1332,f502]) ).
fof(f12892,plain,
( spl0_519
| ~ spl0_147
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1178,f1107,f1062,f12890]) ).
fof(f12890,plain,
( spl0_519
<=> ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1062,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1178,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(X1) )
| ~ spl0_147
| ~ spl0_150 ),
inference(duplicate_literal_removal,[],[f1177]) ).
fof(f1177,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_147
| ~ spl0_150 ),
inference(resolution,[],[f1108,f1063]) ).
fof(f1063,plain,
( ! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f12888,plain,
( spl0_518
| ~ spl0_146
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1171,f1103,f1058,f12886]) ).
fof(f12886,plain,
( spl0_518
<=> ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f1058,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1171,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(X0) )
| ~ spl0_146
| ~ spl0_149 ),
inference(duplicate_literal_removal,[],[f1170]) ).
fof(f1170,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_146
| ~ spl0_149 ),
inference(resolution,[],[f1104,f1059]) ).
fof(f1059,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f12884,plain,
( spl0_517
| ~ spl0_99
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1013,f939,f759,f12882]) ).
fof(f12882,plain,
( spl0_517
<=> ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f1013,plain,
( ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_133 ),
inference(resolution,[],[f940,f760]) ).
fof(f12880,plain,
( spl0_516
| ~ spl0_27
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4931,f4515,f4443,f371,f12878]) ).
fof(f12878,plain,
( spl0_516
<=> ! [X0] : sk6 = hd(app(sk3,skaf77(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f4931,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf77(X0)))
| ~ spl0_27
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4484,f4527]) ).
fof(f4484,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf77(X0)))
| ~ spl0_27
| ~ spl0_315 ),
inference(resolution,[],[f4444,f372]) ).
fof(f12876,plain,
( spl0_515
| ~ spl0_99
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f980,f935,f759,f12874]) ).
fof(f12874,plain,
( spl0_515
<=> ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f980,plain,
( ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_99
| ~ spl0_132 ),
inference(resolution,[],[f936,f760]) ).
fof(f12319,plain,
( spl0_514
| ~ spl0_28
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4930,f4515,f4443,f375,f12317]) ).
fof(f12317,plain,
( spl0_514
<=> ! [X0] : sk6 = hd(app(sk3,skaf76(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f4930,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf76(X0)))
| ~ spl0_28
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4485,f4528]) ).
fof(f4485,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf76(X0)))
| ~ spl0_28
| ~ spl0_315 ),
inference(resolution,[],[f4444,f376]) ).
fof(f11743,plain,
( spl0_513
| ~ spl0_29
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4929,f4515,f4443,f379,f11741]) ).
fof(f11741,plain,
( spl0_513
<=> ! [X0] : sk6 = hd(app(sk3,skaf75(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f4929,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf75(X0)))
| ~ spl0_29
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4486,f4529]) ).
fof(f4486,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf75(X0)))
| ~ spl0_29
| ~ spl0_315 ),
inference(resolution,[],[f4444,f380]) ).
fof(f11581,plain,
( spl0_512
| ~ spl0_147
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1261,f1220,f1062,f11579]) ).
fof(f11579,plain,
( spl0_512
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f1261,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_147
| ~ spl0_164 ),
inference(duplicate_literal_removal,[],[f1258]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) )
| ~ spl0_147
| ~ spl0_164 ),
inference(resolution,[],[f1221,f1063]) ).
fof(f11577,plain,
( spl0_511
| ~ spl0_146
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1253,f1216,f1058,f11575]) ).
fof(f11575,plain,
( spl0_511
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1253,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(X1) )
| ~ spl0_146
| ~ spl0_163 ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1250,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl0_146
| ~ spl0_163 ),
inference(resolution,[],[f1217,f1059]) ).
fof(f11573,plain,
( spl0_510
| ~ spl0_64
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1162,f1099,f521,f11571]) ).
fof(f11571,plain,
( spl0_510
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| hd(app(skaf42(X1,X2),X0)) = hd(skaf42(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f1162,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| hd(app(skaf42(X1,X2),X0)) = hd(skaf42(X1,X2)) )
| ~ spl0_64
| ~ spl0_148 ),
inference(resolution,[],[f1100,f522]) ).
fof(f11569,plain,
( spl0_509
| ~ spl0_63
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1161,f1099,f517,f11567]) ).
fof(f11567,plain,
( spl0_509
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| hd(app(skaf43(X1,X2),X0)) = hd(skaf43(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| hd(app(skaf43(X1,X2),X0)) = hd(skaf43(X1,X2)) )
| ~ spl0_63
| ~ spl0_148 ),
inference(resolution,[],[f1100,f518]) ).
fof(f11565,plain,
( spl0_508
| ~ spl0_62
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1160,f1099,f513,f11563]) ).
fof(f11563,plain,
( spl0_508
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| hd(app(skaf45(X1,X2),X0)) = hd(skaf45(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f1160,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| hd(app(skaf45(X1,X2),X0)) = hd(skaf45(X1,X2)) )
| ~ spl0_62
| ~ spl0_148 ),
inference(resolution,[],[f1100,f514]) ).
fof(f11561,plain,
( spl0_507
| ~ spl0_61
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1159,f1099,f509,f11559]) ).
fof(f11559,plain,
( spl0_507
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| hd(app(skaf46(X1,X2),X0)) = hd(skaf46(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1159,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| hd(app(skaf46(X1,X2),X0)) = hd(skaf46(X1,X2)) )
| ~ spl0_61
| ~ spl0_148 ),
inference(resolution,[],[f1100,f510]) ).
fof(f11557,plain,
( spl0_506
| ~ spl0_60
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1158,f1099,f505,f11555]) ).
fof(f11555,plain,
( spl0_506
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| hd(app(skaf47(X1,X2),X0)) = hd(skaf47(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1158,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| hd(app(skaf47(X1,X2),X0)) = hd(skaf47(X1,X2)) )
| ~ spl0_60
| ~ spl0_148 ),
inference(resolution,[],[f1100,f506]) ).
fof(f11553,plain,
( spl0_505
| ~ spl0_31
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4928,f4515,f4443,f387,f11551]) ).
fof(f11551,plain,
( spl0_505
<=> ! [X0] : sk6 = hd(app(sk3,skaf73(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f4928,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf73(X0)))
| ~ spl0_31
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4487,f4530]) ).
fof(f4487,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf73(X0)))
| ~ spl0_31
| ~ spl0_315 ),
inference(resolution,[],[f4444,f388]) ).
fof(f11549,plain,
( spl0_504
| ~ spl0_59
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1157,f1099,f501,f11547]) ).
fof(f11547,plain,
( spl0_504
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| hd(app(skaf48(X1,X2),X0)) = hd(skaf48(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1157,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| hd(app(skaf48(X1,X2),X0)) = hd(skaf48(X1,X2)) )
| ~ spl0_59
| ~ spl0_148 ),
inference(resolution,[],[f1100,f502]) ).
fof(f11545,plain,
( spl0_503
| ~ spl0_143
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1097,f1062,f1045,f11543]) ).
fof(f11543,plain,
( spl0_503
<=> ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f1097,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 )
| ~ spl0_143
| ~ spl0_147 ),
inference(duplicate_literal_removal,[],[f1096]) ).
fof(f1096,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 )
| ~ spl0_143
| ~ spl0_147 ),
inference(resolution,[],[f1063,f1046]) ).
fof(f11541,plain,
( spl0_502
| ~ spl0_142
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1095,f1058,f1041,f11539]) ).
fof(f11539,plain,
( spl0_502
<=> ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,app(X0,X1))
| app(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,app(X0,X1))
| app(X0,X1) = X1 )
| ~ spl0_142
| ~ spl0_146 ),
inference(duplicate_literal_removal,[],[f1094]) ).
fof(f1094,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ rearsegP(X1,app(X0,X1))
| app(X0,X1) = X1 )
| ~ spl0_142
| ~ spl0_146 ),
inference(resolution,[],[f1059,f1042]) ).
fof(f11537,plain,
( spl0_501
| ~ spl0_64
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1010,f939,f521,f11535]) ).
fof(f11535,plain,
( spl0_501
<=> ! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) )
| ~ spl0_64
| ~ spl0_133 ),
inference(resolution,[],[f940,f522]) ).
fof(f11533,plain,
( spl0_500
| ~ spl0_63
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1009,f939,f517,f11531]) ).
fof(f11531,plain,
( spl0_500
<=> ! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f1009,plain,
( ! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) )
| ~ spl0_63
| ~ spl0_133 ),
inference(resolution,[],[f940,f518]) ).
fof(f11529,plain,
( spl0_499
| ~ spl0_62
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1008,f939,f513,f11527]) ).
fof(f11527,plain,
( spl0_499
<=> ! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) )
| ~ spl0_62
| ~ spl0_133 ),
inference(resolution,[],[f940,f514]) ).
fof(f11525,plain,
( spl0_498
| ~ spl0_61
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1007,f939,f509,f11523]) ).
fof(f11523,plain,
( spl0_498
<=> ! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f1007,plain,
( ! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) )
| ~ spl0_61
| ~ spl0_133 ),
inference(resolution,[],[f940,f510]) ).
fof(f11521,plain,
( spl0_497
| ~ spl0_60
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1006,f939,f505,f11519]) ).
fof(f11519,plain,
( spl0_497
<=> ! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f1006,plain,
( ! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) )
| ~ spl0_60
| ~ spl0_133 ),
inference(resolution,[],[f940,f506]) ).
fof(f11517,plain,
( spl0_496
| ~ spl0_59
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1005,f939,f501,f11515]) ).
fof(f11515,plain,
( spl0_496
<=> ! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f1005,plain,
( ! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) )
| ~ spl0_59
| ~ spl0_133 ),
inference(resolution,[],[f940,f502]) ).
fof(f11513,plain,
( spl0_495
| ~ spl0_64
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f977,f935,f521,f11511]) ).
fof(f11511,plain,
( spl0_495
<=> ! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f977,plain,
( ! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) )
| ~ spl0_64
| ~ spl0_132 ),
inference(resolution,[],[f936,f522]) ).
fof(f11509,plain,
( spl0_494
| ~ spl0_32
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4927,f4515,f4443,f391,f11507]) ).
fof(f11507,plain,
( spl0_494
<=> ! [X0] : sk6 = hd(app(sk3,skaf72(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f4927,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf72(X0)))
| ~ spl0_32
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4488,f4531]) ).
fof(f4488,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf72(X0)))
| ~ spl0_32
| ~ spl0_315 ),
inference(resolution,[],[f4444,f392]) ).
fof(f11505,plain,
( spl0_493
| ~ spl0_63
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f976,f935,f517,f11503]) ).
fof(f11503,plain,
( spl0_493
<=> ! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f976,plain,
( ! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) )
| ~ spl0_63
| ~ spl0_132 ),
inference(resolution,[],[f936,f518]) ).
fof(f11501,plain,
( spl0_492
| ~ spl0_62
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f975,f935,f513,f11499]) ).
fof(f11499,plain,
( spl0_492
<=> ! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f975,plain,
( ! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) )
| ~ spl0_62
| ~ spl0_132 ),
inference(resolution,[],[f936,f514]) ).
fof(f11497,plain,
( spl0_491
| ~ spl0_61
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f974,f935,f509,f11495]) ).
fof(f11495,plain,
( spl0_491
<=> ! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f974,plain,
( ! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) )
| ~ spl0_61
| ~ spl0_132 ),
inference(resolution,[],[f936,f510]) ).
fof(f11493,plain,
( spl0_490
| ~ spl0_60
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f973,f935,f505,f11491]) ).
fof(f11491,plain,
( spl0_490
<=> ! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f973,plain,
( ! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) )
| ~ spl0_60
| ~ spl0_132 ),
inference(resolution,[],[f936,f506]) ).
fof(f11489,plain,
( spl0_489
| ~ spl0_59
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f972,f935,f501,f11487]) ).
fof(f11487,plain,
( spl0_489
<=> ! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f972,plain,
( ! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) )
| ~ spl0_59
| ~ spl0_132 ),
inference(resolution,[],[f936,f502]) ).
fof(f11315,plain,
( spl0_488
| ~ spl0_33
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4926,f4515,f4443,f395,f11313]) ).
fof(f11313,plain,
( spl0_488
<=> ! [X0] : sk6 = hd(app(sk3,skaf71(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f4926,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf71(X0)))
| ~ spl0_33
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4489,f4532]) ).
fof(f4489,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf71(X0)))
| ~ spl0_33
| ~ spl0_315 ),
inference(resolution,[],[f4444,f396]) ).
fof(f10971,plain,
( spl0_487
| ~ spl0_36
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4925,f4515,f4443,f407,f10969]) ).
fof(f10969,plain,
( spl0_487
<=> ! [X0] : sk6 = hd(app(sk3,skaf68(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f4925,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf68(X0)))
| ~ spl0_36
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4490,f4533]) ).
fof(f4490,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf68(X0)))
| ~ spl0_36
| ~ spl0_315 ),
inference(resolution,[],[f4444,f408]) ).
fof(f10627,plain,
( spl0_486
| ~ spl0_37
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4924,f4515,f4443,f411,f10625]) ).
fof(f10625,plain,
( spl0_486
<=> ! [X0] : sk6 = hd(app(sk3,skaf67(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f4924,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf67(X0)))
| ~ spl0_37
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4491,f4534]) ).
fof(f4491,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf67(X0)))
| ~ spl0_37
| ~ spl0_315 ),
inference(resolution,[],[f4444,f412]) ).
fof(f10283,plain,
( spl0_485
| ~ spl0_38
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4923,f4515,f4443,f415,f10281]) ).
fof(f10281,plain,
( spl0_485
<=> ! [X0] : sk6 = hd(app(sk3,skaf66(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f4923,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf66(X0)))
| ~ spl0_38
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4492,f4535]) ).
fof(f4492,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf66(X0)))
| ~ spl0_38
| ~ spl0_315 ),
inference(resolution,[],[f4444,f416]) ).
fof(f10041,plain,
( spl0_484
| ~ spl0_53
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1413,f1331,f475,f10039]) ).
fof(f1413,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf51(X2),X1),X0) = app(skaf51(X2),app(X1,X0)) )
| ~ spl0_53
| ~ spl0_173 ),
inference(resolution,[],[f1332,f476]) ).
fof(f10037,plain,
( spl0_483
| ~ spl0_52
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1412,f1331,f471,f10035]) ).
fof(f1412,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf52(X2),X1),X0) = app(skaf52(X2),app(X1,X0)) )
| ~ spl0_52
| ~ spl0_173 ),
inference(resolution,[],[f1332,f472]) ).
fof(f10033,plain,
( spl0_482
| ~ spl0_51
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1411,f1331,f467,f10031]) ).
fof(f1411,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf53(X2),X1),X0) = app(skaf53(X2),app(X1,X0)) )
| ~ spl0_51
| ~ spl0_173 ),
inference(resolution,[],[f1332,f468]) ).
fof(f10029,plain,
( spl0_481
| ~ spl0_41
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4922,f4515,f4443,f427,f10027]) ).
fof(f10027,plain,
( spl0_481
<=> ! [X0] : sk6 = hd(app(sk3,skaf63(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f4922,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf63(X0)))
| ~ spl0_41
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4493,f4536]) ).
fof(f4493,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf63(X0)))
| ~ spl0_41
| ~ spl0_315 ),
inference(resolution,[],[f4444,f428]) ).
fof(f10025,plain,
( spl0_480
| ~ spl0_48
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1410,f1331,f455,f10023]) ).
fof(f1410,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf56(X2),X1),X0) = app(skaf56(X2),app(X1,X0)) )
| ~ spl0_48
| ~ spl0_173 ),
inference(resolution,[],[f1332,f456]) ).
fof(f10021,plain,
( spl0_479
| ~ spl0_47
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1409,f1331,f451,f10019]) ).
fof(f1409,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf57(X2),X1),X0) = app(skaf57(X2),app(X1,X0)) )
| ~ spl0_47
| ~ spl0_173 ),
inference(resolution,[],[f1332,f452]) ).
fof(f10017,plain,
( spl0_478
| ~ spl0_46
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1408,f1331,f447,f10015]) ).
fof(f1408,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf58(X2),X1),X0) = app(skaf58(X2),app(X1,X0)) )
| ~ spl0_46
| ~ spl0_173 ),
inference(resolution,[],[f1332,f448]) ).
fof(f10013,plain,
( spl0_477
| ~ spl0_43
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1407,f1331,f435,f10011]) ).
fof(f1407,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf61(X2),X1),X0) = app(skaf61(X2),app(X1,X0)) )
| ~ spl0_43
| ~ spl0_173 ),
inference(resolution,[],[f1332,f436]) ).
fof(f10009,plain,
( spl0_476
| ~ spl0_42
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1406,f1331,f431,f10007]) ).
fof(f1406,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf62(X2),X1),X0) = app(skaf62(X2),app(X1,X0)) )
| ~ spl0_42
| ~ spl0_173 ),
inference(resolution,[],[f1332,f432]) ).
fof(f10005,plain,
( spl0_475
| ~ spl0_41
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1405,f1331,f427,f10003]) ).
fof(f1405,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf63(X2),X1),X0) = app(skaf63(X2),app(X1,X0)) )
| ~ spl0_41
| ~ spl0_173 ),
inference(resolution,[],[f1332,f428]) ).
fof(f10001,plain,
( spl0_474
| ~ spl0_38
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1404,f1331,f415,f9999]) ).
fof(f1404,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf66(X2),X1),X0) = app(skaf66(X2),app(X1,X0)) )
| ~ spl0_38
| ~ spl0_173 ),
inference(resolution,[],[f1332,f416]) ).
fof(f9997,plain,
( spl0_473
| ~ spl0_37
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1403,f1331,f411,f9995]) ).
fof(f1403,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf67(X2),X1),X0) = app(skaf67(X2),app(X1,X0)) )
| ~ spl0_37
| ~ spl0_173 ),
inference(resolution,[],[f1332,f412]) ).
fof(f9993,plain,
( spl0_472
| ~ spl0_36
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1402,f1331,f407,f9991]) ).
fof(f1402,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf68(X2),X1),X0) = app(skaf68(X2),app(X1,X0)) )
| ~ spl0_36
| ~ spl0_173 ),
inference(resolution,[],[f1332,f408]) ).
fof(f9989,plain,
( spl0_471
| ~ spl0_33
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1401,f1331,f395,f9987]) ).
fof(f1401,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf71(X2),X1),X0) = app(skaf71(X2),app(X1,X0)) )
| ~ spl0_33
| ~ spl0_173 ),
inference(resolution,[],[f1332,f396]) ).
fof(f9985,plain,
( spl0_470
| ~ spl0_42
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4921,f4515,f4443,f431,f9983]) ).
fof(f9983,plain,
( spl0_470
<=> ! [X0] : sk6 = hd(app(sk3,skaf62(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f4921,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf62(X0)))
| ~ spl0_42
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4494,f4537]) ).
fof(f4494,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf62(X0)))
| ~ spl0_42
| ~ spl0_315 ),
inference(resolution,[],[f4444,f432]) ).
fof(f9981,plain,
( spl0_469
| ~ spl0_32
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1400,f1331,f391,f9979]) ).
fof(f1400,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf72(X2),X1),X0) = app(skaf72(X2),app(X1,X0)) )
| ~ spl0_32
| ~ spl0_173 ),
inference(resolution,[],[f1332,f392]) ).
fof(f9977,plain,
( spl0_468
| ~ spl0_31
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1399,f1331,f387,f9975]) ).
fof(f1399,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf73(X2),X1),X0) = app(skaf73(X2),app(X1,X0)) )
| ~ spl0_31
| ~ spl0_173 ),
inference(resolution,[],[f1332,f388]) ).
fof(f9973,plain,
( spl0_467
| ~ spl0_29
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1398,f1331,f379,f9971]) ).
fof(f1398,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf75(X2),X1),X0) = app(skaf75(X2),app(X1,X0)) )
| ~ spl0_29
| ~ spl0_173 ),
inference(resolution,[],[f1332,f380]) ).
fof(f9969,plain,
( spl0_466
| ~ spl0_28
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1397,f1331,f375,f9967]) ).
fof(f1397,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf76(X2),X1),X0) = app(skaf76(X2),app(X1,X0)) )
| ~ spl0_28
| ~ spl0_173 ),
inference(resolution,[],[f1332,f376]) ).
fof(f9965,plain,
( spl0_465
| ~ spl0_27
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1396,f1331,f371,f9963]) ).
fof(f1396,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf77(X2),X1),X0) = app(skaf77(X2),app(X1,X0)) )
| ~ spl0_27
| ~ spl0_173 ),
inference(resolution,[],[f1332,f372]) ).
fof(f9961,plain,
( spl0_464
| ~ spl0_24
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1395,f1331,f359,f9959]) ).
fof(f1395,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf80(X2),X1),X0) = app(skaf80(X2),app(X1,X0)) )
| ~ spl0_24
| ~ spl0_173 ),
inference(resolution,[],[f1332,f360]) ).
fof(f9957,plain,
( spl0_463
| ~ spl0_23
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1394,f1331,f355,f9955]) ).
fof(f1394,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf81(X2),X1),X0) = app(skaf81(X2),app(X1,X0)) )
| ~ spl0_23
| ~ spl0_173 ),
inference(resolution,[],[f1332,f356]) ).
fof(f9953,plain,
( spl0_462
| ~ spl0_22
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1393,f1331,f351,f9951]) ).
fof(f1393,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf82(X2),X1),X0) = app(skaf82(X2),app(X1,X0)) )
| ~ spl0_22
| ~ spl0_173 ),
inference(resolution,[],[f1332,f352]) ).
fof(f9949,plain,
( spl0_461
| ~ spl0_53
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1305,f1269,f475,f9947]) ).
fof(f1305,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| tl(app(skaf51(X1),X0)) = app(tl(skaf51(X1)),X0) )
| ~ spl0_53
| ~ spl0_168 ),
inference(resolution,[],[f1270,f476]) ).
fof(f9945,plain,
( spl0_460
| ~ spl0_52
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1304,f1269,f471,f9943]) ).
fof(f1304,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| tl(app(skaf52(X1),X0)) = app(tl(skaf52(X1)),X0) )
| ~ spl0_52
| ~ spl0_168 ),
inference(resolution,[],[f1270,f472]) ).
fof(f9941,plain,
( spl0_459
| ~ spl0_43
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4920,f4515,f4443,f435,f9939]) ).
fof(f9939,plain,
( spl0_459
<=> ! [X0] : sk6 = hd(app(sk3,skaf61(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f4920,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf61(X0)))
| ~ spl0_43
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4495,f4538]) ).
fof(f4495,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf61(X0)))
| ~ spl0_43
| ~ spl0_315 ),
inference(resolution,[],[f4444,f436]) ).
fof(f9937,plain,
( spl0_458
| ~ spl0_51
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1303,f1269,f467,f9935]) ).
fof(f1303,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| tl(app(skaf53(X1),X0)) = app(tl(skaf53(X1)),X0) )
| ~ spl0_51
| ~ spl0_168 ),
inference(resolution,[],[f1270,f468]) ).
fof(f9933,plain,
( spl0_457
| ~ spl0_48
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1302,f1269,f455,f9931]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| tl(app(skaf56(X1),X0)) = app(tl(skaf56(X1)),X0) )
| ~ spl0_48
| ~ spl0_168 ),
inference(resolution,[],[f1270,f456]) ).
fof(f9929,plain,
( spl0_456
| ~ spl0_47
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1301,f1269,f451,f9927]) ).
fof(f1301,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| tl(app(skaf57(X1),X0)) = app(tl(skaf57(X1)),X0) )
| ~ spl0_47
| ~ spl0_168 ),
inference(resolution,[],[f1270,f452]) ).
fof(f9925,plain,
( spl0_455
| ~ spl0_46
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1300,f1269,f447,f9923]) ).
fof(f1300,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| tl(app(skaf58(X1),X0)) = app(tl(skaf58(X1)),X0) )
| ~ spl0_46
| ~ spl0_168 ),
inference(resolution,[],[f1270,f448]) ).
fof(f9921,plain,
( spl0_454
| ~ spl0_43
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1299,f1269,f435,f9919]) ).
fof(f1299,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| tl(app(skaf61(X1),X0)) = app(tl(skaf61(X1)),X0) )
| ~ spl0_43
| ~ spl0_168 ),
inference(resolution,[],[f1270,f436]) ).
fof(f9917,plain,
( spl0_453
| ~ spl0_42
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1298,f1269,f431,f9915]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| tl(app(skaf62(X1),X0)) = app(tl(skaf62(X1)),X0) )
| ~ spl0_42
| ~ spl0_168 ),
inference(resolution,[],[f1270,f432]) ).
fof(f9913,plain,
( spl0_452
| ~ spl0_41
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1297,f1269,f427,f9911]) ).
fof(f1297,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| tl(app(skaf63(X1),X0)) = app(tl(skaf63(X1)),X0) )
| ~ spl0_41
| ~ spl0_168 ),
inference(resolution,[],[f1270,f428]) ).
fof(f9909,plain,
( spl0_451
| ~ spl0_38
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1296,f1269,f415,f9907]) ).
fof(f1296,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| tl(app(skaf66(X1),X0)) = app(tl(skaf66(X1)),X0) )
| ~ spl0_38
| ~ spl0_168 ),
inference(resolution,[],[f1270,f416]) ).
fof(f9905,plain,
( spl0_450
| ~ spl0_37
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1295,f1269,f411,f9903]) ).
fof(f1295,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| tl(app(skaf67(X1),X0)) = app(tl(skaf67(X1)),X0) )
| ~ spl0_37
| ~ spl0_168 ),
inference(resolution,[],[f1270,f412]) ).
fof(f9901,plain,
( spl0_449
| ~ spl0_36
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1294,f1269,f407,f9899]) ).
fof(f1294,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| tl(app(skaf68(X1),X0)) = app(tl(skaf68(X1)),X0) )
| ~ spl0_36
| ~ spl0_168 ),
inference(resolution,[],[f1270,f408]) ).
fof(f9897,plain,
( spl0_448
| ~ spl0_46
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4919,f4515,f4443,f447,f9895]) ).
fof(f9895,plain,
( spl0_448
<=> ! [X0] : sk6 = hd(app(sk3,skaf58(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f4919,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf58(X0)))
| ~ spl0_46
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4496,f4539]) ).
fof(f4496,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf58(X0)))
| ~ spl0_46
| ~ spl0_315 ),
inference(resolution,[],[f4444,f448]) ).
fof(f9893,plain,
( spl0_447
| ~ spl0_33
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1293,f1269,f395,f9891]) ).
fof(f1293,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| tl(app(skaf71(X1),X0)) = app(tl(skaf71(X1)),X0) )
| ~ spl0_33
| ~ spl0_168 ),
inference(resolution,[],[f1270,f396]) ).
fof(f9889,plain,
( spl0_446
| ~ spl0_32
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1292,f1269,f391,f9887]) ).
fof(f1292,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| tl(app(skaf72(X1),X0)) = app(tl(skaf72(X1)),X0) )
| ~ spl0_32
| ~ spl0_168 ),
inference(resolution,[],[f1270,f392]) ).
fof(f9885,plain,
( spl0_445
| ~ spl0_31
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1291,f1269,f387,f9883]) ).
fof(f1291,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| tl(app(skaf73(X1),X0)) = app(tl(skaf73(X1)),X0) )
| ~ spl0_31
| ~ spl0_168 ),
inference(resolution,[],[f1270,f388]) ).
fof(f9881,plain,
( spl0_444
| ~ spl0_29
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1290,f1269,f379,f9879]) ).
fof(f1290,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| tl(app(skaf75(X1),X0)) = app(tl(skaf75(X1)),X0) )
| ~ spl0_29
| ~ spl0_168 ),
inference(resolution,[],[f1270,f380]) ).
fof(f9877,plain,
( spl0_443
| ~ spl0_28
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1289,f1269,f375,f9875]) ).
fof(f1289,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| tl(app(skaf76(X1),X0)) = app(tl(skaf76(X1)),X0) )
| ~ spl0_28
| ~ spl0_168 ),
inference(resolution,[],[f1270,f376]) ).
fof(f9873,plain,
( spl0_442
| ~ spl0_27
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1288,f1269,f371,f9871]) ).
fof(f1288,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| tl(app(skaf77(X1),X0)) = app(tl(skaf77(X1)),X0) )
| ~ spl0_27
| ~ spl0_168 ),
inference(resolution,[],[f1270,f372]) ).
fof(f9869,plain,
( spl0_441
| ~ spl0_24
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1287,f1269,f359,f9867]) ).
fof(f1287,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| tl(app(skaf80(X1),X0)) = app(tl(skaf80(X1)),X0) )
| ~ spl0_24
| ~ spl0_168 ),
inference(resolution,[],[f1270,f360]) ).
fof(f9865,plain,
( spl0_440
| ~ spl0_23
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1286,f1269,f355,f9863]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| tl(app(skaf81(X1),X0)) = app(tl(skaf81(X1)),X0) )
| ~ spl0_23
| ~ spl0_168 ),
inference(resolution,[],[f1270,f356]) ).
fof(f9861,plain,
( spl0_439
| ~ spl0_22
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1285,f1269,f351,f9859]) ).
fof(f1285,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| tl(app(skaf82(X1),X0)) = app(tl(skaf82(X1)),X0) )
| ~ spl0_22
| ~ spl0_168 ),
inference(resolution,[],[f1270,f352]) ).
fof(f9839,plain,
( spl0_438
| ~ spl0_47
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4918,f4515,f4443,f451,f9837]) ).
fof(f9837,plain,
( spl0_438
<=> ! [X0] : sk6 = hd(app(sk3,skaf57(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f4918,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf57(X0)))
| ~ spl0_47
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4497,f4540]) ).
fof(f4497,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf57(X0)))
| ~ spl0_47
| ~ spl0_315 ),
inference(resolution,[],[f4444,f452]) ).
fof(f9475,plain,
( spl0_437
| ~ spl0_48
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4917,f4515,f4443,f455,f9473]) ).
fof(f9473,plain,
( spl0_437
<=> ! [X0] : sk6 = hd(app(sk3,skaf56(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f4917,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf56(X0)))
| ~ spl0_48
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4498,f4541]) ).
fof(f4498,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf56(X0)))
| ~ spl0_48
| ~ spl0_315 ),
inference(resolution,[],[f4444,f456]) ).
fof(f9141,plain,
( spl0_436
| ~ spl0_51
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4916,f4515,f4443,f467,f9139]) ).
fof(f9139,plain,
( spl0_436
<=> ! [X0] : sk6 = hd(app(sk3,skaf53(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f4916,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf53(X0)))
| ~ spl0_51
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4499,f4542]) ).
fof(f4499,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf53(X0)))
| ~ spl0_51
| ~ spl0_315 ),
inference(resolution,[],[f4444,f468]) ).
fof(f9026,plain,
( spl0_435
| ~ spl0_74
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1431,f1348,f562,f9024]) ).
fof(f9024,plain,
( spl0_435
<=> ! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0)
| totalorderedP(cons(hd(X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f562,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1348,plain,
( spl0_177
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1431,plain,
( ! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0)
| totalorderedP(cons(hd(X0),X0)) )
| ~ spl0_74
| ~ spl0_177 ),
inference(duplicate_literal_removal,[],[f1430]) ).
fof(f1430,plain,
( ! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0)
| totalorderedP(cons(hd(X0),X0))
| ~ ssItem(hd(X0)) )
| ~ spl0_74
| ~ spl0_177 ),
inference(resolution,[],[f1349,f563]) ).
fof(f563,plain,
( ! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1349,plain,
( ! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(X1)
| totalorderedP(cons(X0,X1)) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f8989,plain,
( spl0_434
| ~ spl0_29
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4320,f675,f379,f8987]) ).
fof(f8987,plain,
( spl0_434
<=> ! [X0] : duplicatefreeP(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f4320,plain,
( ! [X0] : duplicatefreeP(skaf75(X0))
| ~ spl0_29
| ~ spl0_95 ),
inference(resolution,[],[f676,f380]) ).
fof(f8985,plain,
( spl0_433
| ~ spl0_52
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4915,f4515,f4443,f471,f8983]) ).
fof(f8983,plain,
( spl0_433
<=> ! [X0] : sk6 = hd(app(sk3,skaf52(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f4915,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf52(X0)))
| ~ spl0_52
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4500,f4543]) ).
fof(f4500,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf52(X0)))
| ~ spl0_52
| ~ spl0_315 ),
inference(resolution,[],[f4444,f472]) ).
fof(f8916,plain,
( spl0_432
| ~ spl0_53
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4914,f4515,f4443,f475,f8914]) ).
fof(f8914,plain,
( spl0_432
<=> ! [X0] : sk6 = hd(app(sk3,skaf51(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f4914,plain,
( ! [X0] : sk6 = hd(app(sk3,skaf51(X0)))
| ~ spl0_53
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4501,f4544]) ).
fof(f4501,plain,
( ! [X0] : sk6 = hd(cons(sk6,skaf51(X0)))
| ~ spl0_53
| ~ spl0_315 ),
inference(resolution,[],[f4444,f476]) ).
fof(f8912,plain,
( spl0_431
| ~ spl0_2
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4555,f4515,f250,f8909]) ).
fof(f4555,plain,
( cons(sk6,sk4) = app(sk3,sk4)
| ~ spl0_2
| ~ spl0_316 ),
inference(resolution,[],[f4516,f252]) ).
fof(f8907,plain,
( spl0_430
| ~ spl0_94
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1425,f1340,f672,f8905]) ).
fof(f1340,plain,
( spl0_175
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1425,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ spl0_94
| ~ spl0_175 ),
inference(resolution,[],[f1341,f673]) ).
fof(f1341,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f8903,plain,
( spl0_429
| ~ spl0_17
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1392,f1331,f327,f8901]) ).
fof(f1392,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(nil,X1),X0) = app(nil,app(X1,X0)) )
| ~ spl0_17
| ~ spl0_173 ),
inference(resolution,[],[f1332,f329]) ).
fof(f8899,plain,
( spl0_428
| ~ spl0_53
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1156,f1099,f475,f8897]) ).
fof(f1156,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| hd(app(skaf51(X1),X0)) = hd(skaf51(X1)) )
| ~ spl0_53
| ~ spl0_148 ),
inference(resolution,[],[f1100,f476]) ).
fof(f8895,plain,
( spl0_427
| ~ spl0_52
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1155,f1099,f471,f8893]) ).
fof(f1155,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| hd(app(skaf52(X1),X0)) = hd(skaf52(X1)) )
| ~ spl0_52
| ~ spl0_148 ),
inference(resolution,[],[f1100,f472]) ).
fof(f8891,plain,
( spl0_426
| ~ spl0_51
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1154,f1099,f467,f8889]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| hd(app(skaf53(X1),X0)) = hd(skaf53(X1)) )
| ~ spl0_51
| ~ spl0_148 ),
inference(resolution,[],[f1100,f468]) ).
fof(f8887,plain,
( spl0_425
| ~ spl0_48
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1153,f1099,f455,f8885]) ).
fof(f1153,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| hd(app(skaf56(X1),X0)) = hd(skaf56(X1)) )
| ~ spl0_48
| ~ spl0_148 ),
inference(resolution,[],[f1100,f456]) ).
fof(f8883,plain,
( spl0_424
| ~ spl0_47
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1152,f1099,f451,f8881]) ).
fof(f1152,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| hd(app(skaf57(X1),X0)) = hd(skaf57(X1)) )
| ~ spl0_47
| ~ spl0_148 ),
inference(resolution,[],[f1100,f452]) ).
fof(f8879,plain,
( spl0_423
| ~ spl0_46
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1151,f1099,f447,f8877]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| hd(app(skaf58(X1),X0)) = hd(skaf58(X1)) )
| ~ spl0_46
| ~ spl0_148 ),
inference(resolution,[],[f1100,f448]) ).
fof(f8875,plain,
( spl0_422
| ~ spl0_1
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4554,f4515,f245,f8872]) ).
fof(f4554,plain,
( app(sk3,sk3) = cons(sk6,sk3)
| ~ spl0_1
| ~ spl0_316 ),
inference(resolution,[],[f4516,f247]) ).
fof(f8870,plain,
( spl0_421
| ~ spl0_43
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1150,f1099,f435,f8868]) ).
fof(f1150,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| hd(app(skaf61(X1),X0)) = hd(skaf61(X1)) )
| ~ spl0_43
| ~ spl0_148 ),
inference(resolution,[],[f1100,f436]) ).
fof(f8866,plain,
( spl0_420
| ~ spl0_42
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1149,f1099,f431,f8864]) ).
fof(f1149,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| hd(app(skaf62(X1),X0)) = hd(skaf62(X1)) )
| ~ spl0_42
| ~ spl0_148 ),
inference(resolution,[],[f1100,f432]) ).
fof(f8862,plain,
( spl0_419
| ~ spl0_41
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1148,f1099,f427,f8860]) ).
fof(f1148,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| hd(app(skaf63(X1),X0)) = hd(skaf63(X1)) )
| ~ spl0_41
| ~ spl0_148 ),
inference(resolution,[],[f1100,f428]) ).
fof(f8858,plain,
( spl0_418
| ~ spl0_38
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1147,f1099,f415,f8856]) ).
fof(f1147,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| hd(app(skaf66(X1),X0)) = hd(skaf66(X1)) )
| ~ spl0_38
| ~ spl0_148 ),
inference(resolution,[],[f1100,f416]) ).
fof(f8854,plain,
( spl0_417
| ~ spl0_37
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1146,f1099,f411,f8852]) ).
fof(f1146,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| hd(app(skaf67(X1),X0)) = hd(skaf67(X1)) )
| ~ spl0_37
| ~ spl0_148 ),
inference(resolution,[],[f1100,f412]) ).
fof(f8850,plain,
( spl0_416
| ~ spl0_36
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1145,f1099,f407,f8848]) ).
fof(f1145,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| hd(app(skaf68(X1),X0)) = hd(skaf68(X1)) )
| ~ spl0_36
| ~ spl0_148 ),
inference(resolution,[],[f1100,f408]) ).
fof(f8846,plain,
( spl0_415
| ~ spl0_33
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1144,f1099,f395,f8844]) ).
fof(f1144,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| hd(app(skaf71(X1),X0)) = hd(skaf71(X1)) )
| ~ spl0_33
| ~ spl0_148 ),
inference(resolution,[],[f1100,f396]) ).
fof(f8842,plain,
( spl0_414
| ~ spl0_32
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1143,f1099,f391,f8840]) ).
fof(f1143,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| hd(app(skaf72(X1),X0)) = hd(skaf72(X1)) )
| ~ spl0_32
| ~ spl0_148 ),
inference(resolution,[],[f1100,f392]) ).
fof(f8838,plain,
( spl0_413
| ~ spl0_31
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1142,f1099,f387,f8836]) ).
fof(f1142,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| hd(app(skaf73(X1),X0)) = hd(skaf73(X1)) )
| ~ spl0_31
| ~ spl0_148 ),
inference(resolution,[],[f1100,f388]) ).
fof(f8834,plain,
( spl0_412
| ~ spl0_29
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1141,f1099,f379,f8832]) ).
fof(f1141,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| hd(app(skaf75(X1),X0)) = hd(skaf75(X1)) )
| ~ spl0_29
| ~ spl0_148 ),
inference(resolution,[],[f1100,f380]) ).
fof(f8822,plain,
( spl0_411
| ~ spl0_28
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1140,f1099,f375,f8820]) ).
fof(f1140,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| hd(app(skaf76(X1),X0)) = hd(skaf76(X1)) )
| ~ spl0_28
| ~ spl0_148 ),
inference(resolution,[],[f1100,f376]) ).
fof(f8818,plain,
( spl0_410
| ~ spl0_27
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1139,f1099,f371,f8816]) ).
fof(f1139,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| hd(app(skaf77(X1),X0)) = hd(skaf77(X1)) )
| ~ spl0_27
| ~ spl0_148 ),
inference(resolution,[],[f1100,f372]) ).
fof(f8814,plain,
( spl0_409
| ~ spl0_24
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1138,f1099,f359,f8812]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| hd(app(skaf80(X1),X0)) = hd(skaf80(X1)) )
| ~ spl0_24
| ~ spl0_148 ),
inference(resolution,[],[f1100,f360]) ).
fof(f8810,plain,
( spl0_408
| ~ spl0_23
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1137,f1099,f355,f8808]) ).
fof(f1137,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| hd(app(skaf81(X1),X0)) = hd(skaf81(X1)) )
| ~ spl0_23
| ~ spl0_148 ),
inference(resolution,[],[f1100,f356]) ).
fof(f8806,plain,
( spl0_407
| ~ spl0_22
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1136,f1099,f351,f8804]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| hd(app(skaf82(X1),X0)) = hd(skaf82(X1)) )
| ~ spl0_22
| ~ spl0_148 ),
inference(resolution,[],[f1100,f352]) ).
fof(f8802,plain,
( spl0_406
| ~ spl0_106
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f929,f895,f806,f8800]) ).
fof(f8800,plain,
( spl0_406
<=> ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f895,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f929,plain,
( ! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_106
| ~ spl0_127 ),
inference(resolution,[],[f896,f807]) ).
fof(f896,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f8798,plain,
( spl0_405
| ~ spl0_105
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f928,f895,f802,f8796]) ).
fof(f8796,plain,
( spl0_405
<=> ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f928,plain,
( ! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_105
| ~ spl0_127 ),
inference(resolution,[],[f896,f803]) ).
fof(f6594,plain,
( spl0_404
| ~ spl0_53
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1004,f939,f475,f6592]) ).
fof(f6592,plain,
( spl0_404
<=> ! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1004,plain,
( ! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) )
| ~ spl0_53
| ~ spl0_133 ),
inference(resolution,[],[f940,f476]) ).
fof(f6589,plain,
( spl0_403
| ~ spl0_52
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1003,f939,f471,f6587]) ).
fof(f6587,plain,
( spl0_403
<=> ! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1003,plain,
( ! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) )
| ~ spl0_52
| ~ spl0_133 ),
inference(resolution,[],[f940,f472]) ).
fof(f6585,plain,
( spl0_402
| ~ spl0_51
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1002,f939,f467,f6583]) ).
fof(f6583,plain,
( spl0_402
<=> ! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1002,plain,
( ! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) )
| ~ spl0_51
| ~ spl0_133 ),
inference(resolution,[],[f940,f468]) ).
fof(f6581,plain,
( spl0_401
| ~ spl0_48
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1001,f939,f455,f6579]) ).
fof(f6579,plain,
( spl0_401
<=> ! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1001,plain,
( ! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) )
| ~ spl0_48
| ~ spl0_133 ),
inference(resolution,[],[f940,f456]) ).
fof(f6577,plain,
( spl0_400
| ~ spl0_47
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1000,f939,f451,f6575]) ).
fof(f6575,plain,
( spl0_400
<=> ! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1000,plain,
( ! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) )
| ~ spl0_47
| ~ spl0_133 ),
inference(resolution,[],[f940,f452]) ).
fof(f6573,plain,
( spl0_399
| ~ spl0_46
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f999,f939,f447,f6571]) ).
fof(f6571,plain,
( spl0_399
<=> ! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f999,plain,
( ! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) )
| ~ spl0_46
| ~ spl0_133 ),
inference(resolution,[],[f940,f448]) ).
fof(f6569,plain,
( spl0_398
| ~ spl0_43
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f998,f939,f435,f6567]) ).
fof(f6567,plain,
( spl0_398
<=> ! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f998,plain,
( ! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) )
| ~ spl0_43
| ~ spl0_133 ),
inference(resolution,[],[f940,f436]) ).
fof(f6565,plain,
( spl0_397
| ~ spl0_42
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f997,f939,f431,f6563]) ).
fof(f6563,plain,
( spl0_397
<=> ! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f997,plain,
( ! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) )
| ~ spl0_42
| ~ spl0_133 ),
inference(resolution,[],[f940,f432]) ).
fof(f6561,plain,
( spl0_396
| ~ spl0_41
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f996,f939,f427,f6559]) ).
fof(f6559,plain,
( spl0_396
<=> ! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f996,plain,
( ! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) )
| ~ spl0_41
| ~ spl0_133 ),
inference(resolution,[],[f940,f428]) ).
fof(f6557,plain,
( spl0_395
| ~ spl0_38
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f995,f939,f415,f6555]) ).
fof(f6555,plain,
( spl0_395
<=> ! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f995,plain,
( ! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) )
| ~ spl0_38
| ~ spl0_133 ),
inference(resolution,[],[f940,f416]) ).
fof(f6553,plain,
( spl0_394
| ~ spl0_37
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f994,f939,f411,f6551]) ).
fof(f6551,plain,
( spl0_394
<=> ! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f994,plain,
( ! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) )
| ~ spl0_37
| ~ spl0_133 ),
inference(resolution,[],[f940,f412]) ).
fof(f6549,plain,
( spl0_393
| ~ spl0_1
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4907,f4515,f4443,f245,f6546]) ).
fof(f4907,plain,
( sk6 = hd(app(sk3,sk3))
| ~ spl0_1
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4511,f4554]) ).
fof(f4511,plain,
( sk6 = hd(cons(sk6,sk3))
| ~ spl0_1
| ~ spl0_315 ),
inference(resolution,[],[f4444,f247]) ).
fof(f6544,plain,
( spl0_392
| ~ spl0_36
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f993,f939,f407,f6542]) ).
fof(f6542,plain,
( spl0_392
<=> ! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f993,plain,
( ! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) )
| ~ spl0_36
| ~ spl0_133 ),
inference(resolution,[],[f940,f408]) ).
fof(f6540,plain,
( spl0_391
| ~ spl0_33
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f992,f939,f395,f6538]) ).
fof(f6538,plain,
( spl0_391
<=> ! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f992,plain,
( ! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) )
| ~ spl0_33
| ~ spl0_133 ),
inference(resolution,[],[f940,f396]) ).
fof(f6536,plain,
( spl0_390
| ~ spl0_32
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f991,f939,f391,f6534]) ).
fof(f6534,plain,
( spl0_390
<=> ! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f991,plain,
( ! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) )
| ~ spl0_32
| ~ spl0_133 ),
inference(resolution,[],[f940,f392]) ).
fof(f6532,plain,
( spl0_389
| ~ spl0_31
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f990,f939,f387,f6530]) ).
fof(f6530,plain,
( spl0_389
<=> ! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f990,plain,
( ! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) )
| ~ spl0_31
| ~ spl0_133 ),
inference(resolution,[],[f940,f388]) ).
fof(f6528,plain,
( spl0_388
| ~ spl0_29
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f989,f939,f379,f6526]) ).
fof(f6526,plain,
( spl0_388
<=> ! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f989,plain,
( ! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) )
| ~ spl0_29
| ~ spl0_133 ),
inference(resolution,[],[f940,f380]) ).
fof(f6524,plain,
( spl0_387
| ~ spl0_28
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f988,f939,f375,f6522]) ).
fof(f6522,plain,
( spl0_387
<=> ! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f988,plain,
( ! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) )
| ~ spl0_28
| ~ spl0_133 ),
inference(resolution,[],[f940,f376]) ).
fof(f6520,plain,
( spl0_386
| ~ spl0_27
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f987,f939,f371,f6518]) ).
fof(f6518,plain,
( spl0_386
<=> ! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f987,plain,
( ! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) )
| ~ spl0_27
| ~ spl0_133 ),
inference(resolution,[],[f940,f372]) ).
fof(f6516,plain,
( spl0_385
| ~ spl0_24
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f986,f939,f359,f6514]) ).
fof(f6514,plain,
( spl0_385
<=> ! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f986,plain,
( ! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) )
| ~ spl0_24
| ~ spl0_133 ),
inference(resolution,[],[f940,f360]) ).
fof(f6512,plain,
( spl0_384
| ~ spl0_23
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f985,f939,f355,f6510]) ).
fof(f6510,plain,
( spl0_384
<=> ! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f985,plain,
( ! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) )
| ~ spl0_23
| ~ spl0_133 ),
inference(resolution,[],[f940,f356]) ).
fof(f6508,plain,
( spl0_383
| ~ spl0_22
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f984,f939,f351,f6506]) ).
fof(f6506,plain,
( spl0_383
<=> ! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f984,plain,
( ! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) )
| ~ spl0_22
| ~ spl0_133 ),
inference(resolution,[],[f940,f352]) ).
fof(f6504,plain,
( spl0_382
| ~ spl0_2
| ~ spl0_315
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4906,f4515,f4443,f250,f6501]) ).
fof(f4906,plain,
( sk6 = hd(app(sk3,sk4))
| ~ spl0_2
| ~ spl0_315
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4512,f4555]) ).
fof(f4512,plain,
( sk6 = hd(cons(sk6,sk4))
| ~ spl0_2
| ~ spl0_315 ),
inference(resolution,[],[f4444,f252]) ).
fof(f6499,plain,
( spl0_381
| ~ spl0_53
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f971,f935,f475,f6497]) ).
fof(f6497,plain,
( spl0_381
<=> ! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f971,plain,
( ! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) )
| ~ spl0_53
| ~ spl0_132 ),
inference(resolution,[],[f936,f476]) ).
fof(f6495,plain,
( spl0_380
| ~ spl0_52
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f970,f935,f471,f6493]) ).
fof(f6493,plain,
( spl0_380
<=> ! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f970,plain,
( ! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) )
| ~ spl0_52
| ~ spl0_132 ),
inference(resolution,[],[f936,f472]) ).
fof(f6491,plain,
( spl0_379
| ~ spl0_51
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f969,f935,f467,f6489]) ).
fof(f6489,plain,
( spl0_379
<=> ! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f969,plain,
( ! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) )
| ~ spl0_51
| ~ spl0_132 ),
inference(resolution,[],[f936,f468]) ).
fof(f6487,plain,
( spl0_378
| ~ spl0_48
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f968,f935,f455,f6485]) ).
fof(f6485,plain,
( spl0_378
<=> ! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f968,plain,
( ! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) )
| ~ spl0_48
| ~ spl0_132 ),
inference(resolution,[],[f936,f456]) ).
fof(f6483,plain,
( spl0_377
| ~ spl0_47
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f967,f935,f451,f6481]) ).
fof(f6481,plain,
( spl0_377
<=> ! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f967,plain,
( ! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) )
| ~ spl0_47
| ~ spl0_132 ),
inference(resolution,[],[f936,f452]) ).
fof(f6479,plain,
( spl0_376
| ~ spl0_46
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f966,f935,f447,f6477]) ).
fof(f6477,plain,
( spl0_376
<=> ! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f966,plain,
( ! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) )
| ~ spl0_46
| ~ spl0_132 ),
inference(resolution,[],[f936,f448]) ).
fof(f6475,plain,
( spl0_375
| ~ spl0_43
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f965,f935,f435,f6473]) ).
fof(f6473,plain,
( spl0_375
<=> ! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f965,plain,
( ! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) )
| ~ spl0_43
| ~ spl0_132 ),
inference(resolution,[],[f936,f436]) ).
fof(f6471,plain,
( spl0_374
| ~ spl0_42
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f964,f935,f431,f6469]) ).
fof(f6469,plain,
( spl0_374
<=> ! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f964,plain,
( ! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) )
| ~ spl0_42
| ~ spl0_132 ),
inference(resolution,[],[f936,f432]) ).
fof(f6467,plain,
( spl0_373
| ~ spl0_41
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f963,f935,f427,f6465]) ).
fof(f6465,plain,
( spl0_373
<=> ! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f963,plain,
( ! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) )
| ~ spl0_41
| ~ spl0_132 ),
inference(resolution,[],[f936,f428]) ).
fof(f6463,plain,
( spl0_372
| ~ spl0_38
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f962,f935,f415,f6461]) ).
fof(f6461,plain,
( spl0_372
<=> ! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f962,plain,
( ! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) )
| ~ spl0_38
| ~ spl0_132 ),
inference(resolution,[],[f936,f416]) ).
fof(f6456,plain,
( spl0_371
| ~ spl0_37
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f961,f935,f411,f6454]) ).
fof(f6454,plain,
( spl0_371
<=> ! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f961,plain,
( ! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) )
| ~ spl0_37
| ~ spl0_132 ),
inference(resolution,[],[f936,f412]) ).
fof(f6452,plain,
( spl0_370
| ~ spl0_36
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f960,f935,f407,f6450]) ).
fof(f6450,plain,
( spl0_370
<=> ! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f960,plain,
( ! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) )
| ~ spl0_36
| ~ spl0_132 ),
inference(resolution,[],[f936,f408]) ).
fof(f6448,plain,
( spl0_369
| ~ spl0_33
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f959,f935,f395,f6446]) ).
fof(f6446,plain,
( spl0_369
<=> ! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f959,plain,
( ! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) )
| ~ spl0_33
| ~ spl0_132 ),
inference(resolution,[],[f936,f396]) ).
fof(f6444,plain,
( spl0_368
| ~ spl0_32
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f958,f935,f391,f6442]) ).
fof(f6442,plain,
( spl0_368
<=> ! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f958,plain,
( ! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) )
| ~ spl0_32
| ~ spl0_132 ),
inference(resolution,[],[f936,f392]) ).
fof(f6440,plain,
( spl0_367
| ~ spl0_31
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f957,f935,f387,f6438]) ).
fof(f6438,plain,
( spl0_367
<=> ! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f957,plain,
( ! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) )
| ~ spl0_31
| ~ spl0_132 ),
inference(resolution,[],[f936,f388]) ).
fof(f6436,plain,
( spl0_366
| ~ spl0_29
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f956,f935,f379,f6434]) ).
fof(f6434,plain,
( spl0_366
<=> ! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f956,plain,
( ! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) )
| ~ spl0_29
| ~ spl0_132 ),
inference(resolution,[],[f936,f380]) ).
fof(f6432,plain,
( spl0_365
| ~ spl0_28
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f955,f935,f375,f6430]) ).
fof(f6430,plain,
( spl0_365
<=> ! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f955,plain,
( ! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) )
| ~ spl0_28
| ~ spl0_132 ),
inference(resolution,[],[f936,f376]) ).
fof(f6428,plain,
( spl0_364
| ~ spl0_27
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f954,f935,f371,f6426]) ).
fof(f6426,plain,
( spl0_364
<=> ! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f954,plain,
( ! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) )
| ~ spl0_27
| ~ spl0_132 ),
inference(resolution,[],[f936,f372]) ).
fof(f6424,plain,
( spl0_363
| ~ spl0_24
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f953,f935,f359,f6422]) ).
fof(f6422,plain,
( spl0_363
<=> ! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f953,plain,
( ! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) )
| ~ spl0_24
| ~ spl0_132 ),
inference(resolution,[],[f936,f360]) ).
fof(f6420,plain,
( spl0_362
| ~ spl0_23
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f952,f935,f355,f6418]) ).
fof(f6418,plain,
( spl0_362
<=> ! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f952,plain,
( ! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) )
| ~ spl0_23
| ~ spl0_132 ),
inference(resolution,[],[f936,f356]) ).
fof(f6413,plain,
( spl0_361
| ~ spl0_22
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f951,f935,f351,f6411]) ).
fof(f6411,plain,
( spl0_361
<=> ! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f951,plain,
( ! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) )
| ~ spl0_22
| ~ spl0_132 ),
inference(resolution,[],[f936,f352]) ).
fof(f6274,plain,
( ~ spl0_17
| spl0_360
| ~ spl0_60
| ~ spl0_68
| ~ spl0_96
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1469,f1438,f686,f538,f505,f6272,f327]) ).
fof(f538,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f686,plain,
( spl0_96
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1469,plain,
( ! [X0] :
( app(skaf47(X0,nil),skaf48(nil,X0)) = X0
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_60
| ~ spl0_68
| ~ spl0_96
| ~ spl0_180 ),
inference(forward_demodulation,[],[f1468,f716]) ).
fof(f716,plain,
( ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil)
| ~ spl0_60
| ~ spl0_96 ),
inference(resolution,[],[f687,f506]) ).
fof(f687,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f1468,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 )
| ~ spl0_68
| ~ spl0_180 ),
inference(duplicate_literal_removal,[],[f1465]) ).
fof(f1465,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0
| ~ ssList(X0) )
| ~ spl0_68
| ~ spl0_180 ),
inference(resolution,[],[f1439,f539]) ).
fof(f539,plain,
( ! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f6270,plain,
( spl0_359
| ~ spl0_69
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1467,f1438,f542,f6268]) ).
fof(f542,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1467,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(skaf47(X0,X0),X0),skaf48(X0,X0)) = X0 )
| ~ spl0_69
| ~ spl0_180 ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(app(skaf47(X0,X0),X0),skaf48(X0,X0)) = X0
| ~ ssList(X0) )
| ~ spl0_69
| ~ spl0_180 ),
inference(resolution,[],[f1439,f543]) ).
fof(f543,plain,
( ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f6266,plain,
( spl0_358
| ~ spl0_96
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f799,f779,f686,f6264]) ).
fof(f799,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) )
| ~ spl0_96
| ~ spl0_104 ),
inference(resolution,[],[f780,f687]) ).
fof(f6259,plain,
( spl0_357
| ~ spl0_97
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f798,f779,f690,f6257]) ).
fof(f690,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f798,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) )
| ~ spl0_97
| ~ spl0_104 ),
inference(resolution,[],[f780,f691]) ).
fof(f691,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f6255,plain,
( spl0_356
| ~ spl0_96
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f797,f775,f686,f6253]) ).
fof(f797,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) )
| ~ spl0_96
| ~ spl0_103 ),
inference(resolution,[],[f776,f687]) ).
fof(f6251,plain,
( spl0_355
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f796,f775,f690,f6249]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) )
| ~ spl0_97
| ~ spl0_103 ),
inference(resolution,[],[f776,f691]) ).
fof(f6180,plain,
( spl0_354
| ~ spl0_96
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f783,f759,f686,f6178]) ).
fof(f6178,plain,
( spl0_354
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f783,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) )
| ~ spl0_96
| ~ spl0_99 ),
inference(resolution,[],[f760,f687]) ).
fof(f6176,plain,
( spl0_353
| ~ spl0_97
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f782,f759,f690,f6174]) ).
fof(f782,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) )
| ~ spl0_97
| ~ spl0_99 ),
inference(resolution,[],[f760,f691]) ).
fof(f6103,plain,
( spl0_352
| ~ spl0_28
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4319,f675,f375,f6101]) ).
fof(f6101,plain,
( spl0_352
<=> ! [X0] : duplicatefreeP(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f4319,plain,
( ! [X0] : duplicatefreeP(skaf76(X0))
| ~ spl0_28
| ~ spl0_95 ),
inference(resolution,[],[f676,f376]) ).
fof(f6017,plain,
( spl0_351
| ~ spl0_2
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f5709,f5674,f250,f6014]) ).
fof(f6014,plain,
( spl0_351
<=> sk4 = skaf45(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f5709,plain,
( sk4 = skaf45(sk4,nil)
| ~ spl0_2
| ~ spl0_346 ),
inference(resolution,[],[f5675,f252]) ).
fof(f6012,plain,
( spl0_350
| ~ spl0_1
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f5708,f5674,f245,f6009]) ).
fof(f6009,plain,
( spl0_350
<=> sk3 = skaf45(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f5708,plain,
( sk3 = skaf45(sk3,nil)
| ~ spl0_1
| ~ spl0_346 ),
inference(resolution,[],[f5675,f247]) ).
fof(f6007,plain,
( spl0_349
| ~ spl0_94
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1065,f1017,f672,f6005]) ).
fof(f1065,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ spl0_94
| ~ spl0_136 ),
inference(resolution,[],[f1018,f673]) ).
fof(f5899,plain,
( spl0_348
| ~ spl0_2
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f5668,f5633,f250,f5896]) ).
fof(f5896,plain,
( spl0_348
<=> sk4 = skaf46(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f5668,plain,
( sk4 = skaf46(sk4,nil)
| ~ spl0_2
| ~ spl0_344 ),
inference(resolution,[],[f5634,f252]) ).
fof(f5714,plain,
( spl0_347
| ~ spl0_1
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f5667,f5633,f245,f5711]) ).
fof(f5711,plain,
( spl0_347
<=> sk3 = skaf46(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f5667,plain,
( sk3 = skaf46(sk3,nil)
| ~ spl0_1
| ~ spl0_344 ),
inference(resolution,[],[f5634,f247]) ).
fof(f5676,plain,
( ~ spl0_17
| spl0_346
| ~ spl0_62
| ~ spl0_72
| ~ spl0_97
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1181,f1107,f690,f554,f513,f5674,f327]) ).
fof(f1181,plain,
( ! [X0] :
( skaf45(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_62
| ~ spl0_72
| ~ spl0_97
| ~ spl0_150 ),
inference(forward_demodulation,[],[f1180,f753]) ).
fof(f753,plain,
( ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1))
| ~ spl0_62
| ~ spl0_97 ),
inference(resolution,[],[f691,f514]) ).
fof(f1180,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0 )
| ~ spl0_72
| ~ spl0_150 ),
inference(duplicate_literal_removal,[],[f1175]) ).
fof(f1175,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) )
| ~ spl0_72
| ~ spl0_150 ),
inference(resolution,[],[f1108,f555]) ).
fof(f5672,plain,
( spl0_345
| ~ spl0_73
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1179,f1107,f558,f5670]) ).
fof(f1179,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 )
| ~ spl0_73
| ~ spl0_150 ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1176,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) )
| ~ spl0_73
| ~ spl0_150 ),
inference(resolution,[],[f1108,f559]) ).
fof(f5635,plain,
( ~ spl0_17
| spl0_344
| ~ spl0_61
| ~ spl0_70
| ~ spl0_96
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1174,f1103,f686,f546,f509,f5633,f327]) ).
fof(f1174,plain,
( ! [X0] :
( skaf46(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_61
| ~ spl0_70
| ~ spl0_96
| ~ spl0_149 ),
inference(forward_demodulation,[],[f1173,f717]) ).
fof(f717,plain,
( ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil)
| ~ spl0_61
| ~ spl0_96 ),
inference(resolution,[],[f687,f510]) ).
fof(f1173,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0 )
| ~ spl0_70
| ~ spl0_149 ),
inference(duplicate_literal_removal,[],[f1168]) ).
fof(f1168,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) )
| ~ spl0_70
| ~ spl0_149 ),
inference(resolution,[],[f1104,f547]) ).
fof(f5631,plain,
( spl0_343
| ~ spl0_71
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1172,f1103,f550,f5629]) ).
fof(f550,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1172,plain,
( ! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 )
| ~ spl0_71
| ~ spl0_149 ),
inference(duplicate_literal_removal,[],[f1169]) ).
fof(f1169,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) )
| ~ spl0_71
| ~ spl0_149 ),
inference(resolution,[],[f1104,f551]) ).
fof(f551,plain,
( ! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f5627,plain,
( spl0_342
| ~ spl0_64
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f755,f690,f521,f5625]) ).
fof(f5625,plain,
( spl0_342
<=> ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f755,plain,
( ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1))
| ~ spl0_64
| ~ spl0_97 ),
inference(resolution,[],[f691,f522]) ).
fof(f5623,plain,
( spl0_341
| ~ spl0_63
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f754,f690,f517,f5621]) ).
fof(f5621,plain,
( spl0_341
<=> ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f754,plain,
( ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1))
| ~ spl0_63
| ~ spl0_97 ),
inference(resolution,[],[f691,f518]) ).
fof(f5619,plain,
( spl0_340
| ~ spl0_62
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f753,f690,f513,f5617]) ).
fof(f5617,plain,
( spl0_340
<=> ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f5615,plain,
( spl0_339
| ~ spl0_61
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f752,f690,f509,f5613]) ).
fof(f5613,plain,
( spl0_339
<=> ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f752,plain,
( ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1))
| ~ spl0_61
| ~ spl0_97 ),
inference(resolution,[],[f691,f510]) ).
fof(f5605,plain,
( spl0_338
| ~ spl0_60
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f751,f690,f505,f5603]) ).
fof(f5603,plain,
( spl0_338
<=> ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f751,plain,
( ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1))
| ~ spl0_60
| ~ spl0_97 ),
inference(resolution,[],[f691,f506]) ).
fof(f5601,plain,
( spl0_337
| ~ spl0_59
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f750,f690,f501,f5599]) ).
fof(f5599,plain,
( spl0_337
<=> ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f750,plain,
( ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1))
| ~ spl0_59
| ~ spl0_97 ),
inference(resolution,[],[f691,f502]) ).
fof(f5597,plain,
( spl0_336
| ~ spl0_64
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f720,f686,f521,f5595]) ).
fof(f5595,plain,
( spl0_336
<=> ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f720,plain,
( ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil)
| ~ spl0_64
| ~ spl0_96 ),
inference(resolution,[],[f687,f522]) ).
fof(f5593,plain,
( spl0_335
| ~ spl0_63
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f719,f686,f517,f5591]) ).
fof(f5591,plain,
( spl0_335
<=> ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f719,plain,
( ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil)
| ~ spl0_63
| ~ spl0_96 ),
inference(resolution,[],[f687,f518]) ).
fof(f5589,plain,
( spl0_334
| ~ spl0_62
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f718,f686,f513,f5587]) ).
fof(f5587,plain,
( spl0_334
<=> ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f718,plain,
( ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil)
| ~ spl0_62
| ~ spl0_96 ),
inference(resolution,[],[f687,f514]) ).
fof(f5585,plain,
( spl0_333
| ~ spl0_61
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f717,f686,f509,f5583]) ).
fof(f5583,plain,
( spl0_333
<=> ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f5515,plain,
( spl0_332
| ~ spl0_1
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4874,f4515,f4439,f245,f5512]) ).
fof(f5512,plain,
( spl0_332
<=> sk3 = tl(app(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f4874,plain,
( sk3 = tl(app(sk3,sk3))
| ~ spl0_1
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4477,f4554]) ).
fof(f4477,plain,
( sk3 = tl(cons(sk6,sk3))
| ~ spl0_1
| ~ spl0_314 ),
inference(resolution,[],[f4440,f247]) ).
fof(f5477,plain,
( spl0_331
| ~ spl0_27
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4318,f675,f371,f5475]) ).
fof(f5475,plain,
( spl0_331
<=> ! [X0] : duplicatefreeP(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f4318,plain,
( ! [X0] : duplicatefreeP(skaf77(X0))
| ~ spl0_27
| ~ spl0_95 ),
inference(resolution,[],[f676,f372]) ).
fof(f5229,plain,
( spl0_330
| ~ spl0_2
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f4860,f4595,f250,f5227]) ).
fof(f4860,plain,
( ! [X0] : hd(cons(X0,sk4)) = X0
| ~ spl0_2
| ~ spl0_319 ),
inference(resolution,[],[f4596,f252]) ).
fof(f5225,plain,
( spl0_329
| ~ spl0_2
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f4827,f4307,f250,f5223]) ).
fof(f4827,plain,
( ! [X0] : sk4 = tl(cons(X0,sk4))
| ~ spl0_2
| ~ spl0_310 ),
inference(resolution,[],[f4308,f252]) ).
fof(f5188,plain,
( spl0_328
| ~ spl0_24
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4317,f675,f359,f5186]) ).
fof(f5186,plain,
( spl0_328
<=> ! [X0] : duplicatefreeP(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f4317,plain,
( ! [X0] : duplicatefreeP(skaf80(X0))
| ~ spl0_24
| ~ spl0_95 ),
inference(resolution,[],[f676,f360]) ).
fof(f4974,plain,
( spl0_327
| ~ spl0_2
| ~ spl0_314
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f4873,f4515,f4439,f250,f4971]) ).
fof(f4971,plain,
( spl0_327
<=> sk4 = tl(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f4873,plain,
( sk4 = tl(app(sk3,sk4))
| ~ spl0_2
| ~ spl0_314
| ~ spl0_316 ),
inference(forward_demodulation,[],[f4478,f4555]) ).
fof(f4478,plain,
( sk4 = tl(cons(sk6,sk4))
| ~ spl0_2
| ~ spl0_314 ),
inference(resolution,[],[f4440,f252]) ).
fof(f4905,plain,
( spl0_326
| ~ spl0_1
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f4859,f4595,f245,f4903]) ).
fof(f4859,plain,
( ! [X0] : hd(cons(X0,sk3)) = X0
| ~ spl0_1
| ~ spl0_319 ),
inference(resolution,[],[f4596,f247]) ).
fof(f4872,plain,
( spl0_325
| ~ spl0_1
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f4826,f4307,f245,f4870]) ).
fof(f4870,plain,
( spl0_325
<=> ! [X0] : sk3 = tl(cons(X0,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f4826,plain,
( ! [X0] : sk3 = tl(cons(X0,sk3))
| ~ spl0_1
| ~ spl0_310 ),
inference(resolution,[],[f4308,f247]) ).
fof(f4868,plain,
( spl0_324
| ~ spl0_60
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f716,f686,f505,f4866]) ).
fof(f4866,plain,
( spl0_324
<=> ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f4864,plain,
( spl0_323
| ~ spl0_59
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f715,f686,f501,f4862]) ).
fof(f4862,plain,
( spl0_323
<=> ! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f715,plain,
( ! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil)
| ~ spl0_59
| ~ spl0_96 ),
inference(resolution,[],[f687,f502]) ).
fof(f4791,plain,
( ~ spl0_17
| spl0_322
| ~ spl0_104
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f933,f907,f779,f4789,f327]) ).
fof(f4789,plain,
( spl0_322
<=> ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f907,plain,
( spl0_130
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f933,plain,
( ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssList(nil) )
| ~ spl0_104
| ~ spl0_130 ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
( ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl0_104
| ~ spl0_130 ),
inference(resolution,[],[f908,f780]) ).
fof(f908,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f4754,plain,
( spl0_321
| ~ spl0_23
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4316,f675,f355,f4752]) ).
fof(f4752,plain,
( spl0_321
<=> ! [X0] : duplicatefreeP(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f4316,plain,
( ! [X0] : duplicatefreeP(skaf81(X0))
| ~ spl0_23
| ~ spl0_95 ),
inference(resolution,[],[f676,f356]) ).
fof(f4604,plain,
( spl0_320
| ~ spl0_8
| ~ spl0_17
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f4513,f4443,f327,f281,f4601]) ).
fof(f4513,plain,
( sk6 = hd(sk3)
| ~ spl0_8
| ~ spl0_17
| ~ spl0_315 ),
inference(forward_demodulation,[],[f4480,f283]) ).
fof(f4480,plain,
( sk6 = hd(cons(sk6,nil))
| ~ spl0_17
| ~ spl0_315 ),
inference(resolution,[],[f4444,f329]) ).
fof(f4597,plain,
( spl0_319
| ~ spl0_94
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f911,f858,f672,f4595]) ).
fof(f858,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f911,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 )
| ~ spl0_94
| ~ spl0_118 ),
inference(resolution,[],[f859,f673]) ).
fof(f859,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f4560,plain,
( spl0_318
| ~ spl0_22
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4315,f675,f351,f4558]) ).
fof(f4558,plain,
( spl0_318
<=> ! [X0] : duplicatefreeP(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f4315,plain,
( ! [X0] : duplicatefreeP(skaf82(X0))
| ~ spl0_22
| ~ spl0_95 ),
inference(resolution,[],[f676,f352]) ).
fof(f4522,plain,
( spl0_317
| ~ spl0_8
| ~ spl0_17
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f4479,f4439,f327,f281,f4519]) ).
fof(f4479,plain,
( nil = tl(sk3)
| ~ spl0_8
| ~ spl0_17
| ~ spl0_314 ),
inference(forward_demodulation,[],[f4446,f283]) ).
fof(f4446,plain,
( nil = tl(cons(sk6,nil))
| ~ spl0_17
| ~ spl0_314 ),
inference(resolution,[],[f4440,f329]) ).
fof(f4517,plain,
( spl0_316
| ~ spl0_5
| ~ spl0_8
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4418,f1017,f281,f264,f4515]) ).
fof(f4418,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk6,X0)
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_136 ),
inference(forward_demodulation,[],[f4417,f283]) ).
fof(f4417,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) )
| ~ spl0_5
| ~ spl0_136 ),
inference(resolution,[],[f1018,f266]) ).
fof(f4445,plain,
( spl0_315
| ~ spl0_5
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f4398,f858,f264,f4443]) ).
fof(f4398,plain,
( ! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) )
| ~ spl0_5
| ~ spl0_118 ),
inference(resolution,[],[f859,f266]) ).
fof(f4441,plain,
( spl0_314
| ~ spl0_5
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f4379,f854,f264,f4439]) ).
fof(f854,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f4379,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 )
| ~ spl0_5
| ~ spl0_117 ),
inference(resolution,[],[f855,f266]) ).
fof(f855,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f4356,plain,
( spl0_313
| ~ spl0_27
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2190,f2183,f371,f4354]) ).
fof(f4354,plain,
( spl0_313
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf77(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f2190,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf77(X0)))
| ~ spl0_27
| ~ spl0_215 ),
inference(resolution,[],[f2184,f372]) ).
fof(f4352,plain,
spl0_312,
inference(avatar_split_clause,[],[f76,f4350]) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f4313,plain,
( spl0_311
| ~ spl0_24
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2189,f2183,f359,f4311]) ).
fof(f4311,plain,
( spl0_311
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf80(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f2189,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf80(X0)))
| ~ spl0_24
| ~ spl0_215 ),
inference(resolution,[],[f2184,f360]) ).
fof(f4309,plain,
( spl0_310
| ~ spl0_94
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f910,f854,f672,f4307]) ).
fof(f910,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 )
| ~ spl0_94
| ~ spl0_117 ),
inference(resolution,[],[f855,f673]) ).
fof(f4295,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_309
| ~ spl0_8
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f1820,f1809,f281,f4293,f264,f327]) ).
fof(f4293,plain,
( spl0_309
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| leq(sk6,X1)
| leq(X1,sk6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ totalorderP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,sk6)
| leq(sk6,X1) )
| ~ spl0_8
| ~ spl0_206 ),
inference(superposition,[],[f1810,f283]) ).
fof(f4282,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_308
| ~ spl0_8
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f1819,f1809,f281,f4280,f264,f327]) ).
fof(f4280,plain,
( spl0_308
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| leq(X1,sk6)
| leq(sk6,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ totalorderP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f1819,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ totalorderP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(nil)
| leq(sk6,X1)
| leq(X1,sk6) )
| ~ spl0_8
| ~ spl0_206 ),
inference(superposition,[],[f1810,f283]) ).
fof(f4268,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_307
| ~ spl0_8
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f1817,f1805,f281,f4266,f264,f327]) ).
fof(f4266,plain,
( spl0_307
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| lt(sk6,X1)
| lt(X1,sk6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1817,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ strictorderP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,sk6)
| lt(sk6,X1) )
| ~ spl0_8
| ~ spl0_205 ),
inference(superposition,[],[f1806,f283]) ).
fof(f4255,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_306
| ~ spl0_8
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f1816,f1805,f281,f4253,f264,f327]) ).
fof(f4253,plain,
( spl0_306
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| lt(X1,sk6)
| lt(sk6,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f1816,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ strictorderP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(nil)
| lt(sk6,X1)
| lt(X1,sk6) )
| ~ spl0_8
| ~ spl0_205 ),
inference(superposition,[],[f1806,f283]) ).
fof(f4241,plain,
( spl0_305
| ~ spl0_23
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2188,f2183,f355,f4239]) ).
fof(f4239,plain,
( spl0_305
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf81(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f2188,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf81(X0)))
| ~ spl0_23
| ~ spl0_215 ),
inference(resolution,[],[f2184,f356]) ).
fof(f4237,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_304
| ~ spl0_8
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f1814,f1801,f281,f4235,f264,f327]) ).
fof(f4235,plain,
( spl0_304
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f1814,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ leq(X1,sk6)
| ~ leq(sk6,X1) )
| ~ spl0_8
| ~ spl0_204 ),
inference(superposition,[],[f1802,f283]) ).
fof(f4224,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_303
| ~ spl0_8
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f1813,f1801,f281,f4222,f264,f327]) ).
fof(f4222,plain,
( spl0_303
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ leq(X1,sk6)
| ~ leq(sk6,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ cyclefreeP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1813,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6) )
| ~ spl0_8
| ~ spl0_204 ),
inference(superposition,[],[f1802,f283]) ).
fof(f4212,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_302
| ~ spl0_8
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f1799,f1786,f281,f4210,f264,f327]) ).
fof(f4210,plain,
( spl0_302
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| leq(X1,sk6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1799,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| leq(X1,sk6) )
| ~ spl0_8
| ~ spl0_202 ),
inference(superposition,[],[f1787,f283]) ).
fof(f4200,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_301
| ~ spl0_8
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f1798,f1786,f281,f4198,f264,f327]) ).
fof(f4198,plain,
( spl0_301
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| leq(sk6,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1798,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X2)
| leq(sk6,X1) )
| ~ spl0_8
| ~ spl0_202 ),
inference(superposition,[],[f1787,f283]) ).
fof(f4188,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_300
| ~ spl0_8
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f1796,f1782,f281,f4186,f264,f327]) ).
fof(f4186,plain,
( spl0_300
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| lt(X1,sk6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1796,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),sk3))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),sk3))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| lt(X1,sk6) )
| ~ spl0_8
| ~ spl0_201 ),
inference(superposition,[],[f1783,f283]) ).
fof(f4176,plain,
( spl0_299
| ~ spl0_22
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2187,f2183,f351,f4174]) ).
fof(f4174,plain,
( spl0_299
<=> ! [X0] : hd(sk3) = hd(app(sk3,skaf82(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f2187,plain,
( ! [X0] : hd(sk3) = hd(app(sk3,skaf82(X0)))
| ~ spl0_22
| ~ spl0_215 ),
inference(resolution,[],[f2184,f352]) ).
fof(f4172,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_298
| ~ spl0_8
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f1795,f1782,f281,f4170,f264,f327]) ).
fof(f4170,plain,
( spl0_298
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| lt(sk6,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1795,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(X1,X2)))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,sk3),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X2)
| lt(sk6,X1) )
| ~ spl0_8
| ~ spl0_201 ),
inference(superposition,[],[f1783,f283]) ).
fof(f3774,plain,
( spl0_297
| ~ spl0_1
| ~ spl0_121
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f1898,f1894,f871,f245,f3771]) ).
fof(f871,plain,
( spl0_121
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1894,plain,
( spl0_207
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1898,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_121
| ~ spl0_207 ),
inference(resolution,[],[f1896,f872]) ).
fof(f872,plain,
( ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f1896,plain,
( singletonP(sk3)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f3589,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_17
| ~ spl0_101
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f3128,f3106,f767,f327,f250,f260]) ).
fof(f767,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f3106,plain,
( spl0_260
<=> ! [X0] :
( rearsegP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f3128,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_101
| ~ spl0_260 ),
inference(resolution,[],[f3107,f768]) ).
fof(f768,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f3107,plain,
( ! [X0] :
( rearsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f3106]) ).
fof(f3408,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_17
| ~ spl0_100
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3121,f2697,f763,f327,f250,f260]) ).
fof(f763,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f2697,plain,
( spl0_234
<=> ! [X0] :
( segmentP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3121,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_100
| ~ spl0_234 ),
inference(resolution,[],[f2698,f764]) ).
fof(f764,plain,
( ! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f2698,plain,
( ! [X0] :
( segmentP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f3353,plain,
( spl0_296
| ~ spl0_53
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f749,f690,f475,f3351]) ).
fof(f3351,plain,
( spl0_296
<=> ! [X0] : skaf51(X0) = app(nil,skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f749,plain,
( ! [X0] : skaf51(X0) = app(nil,skaf51(X0))
| ~ spl0_53
| ~ spl0_97 ),
inference(resolution,[],[f691,f476]) ).
fof(f3349,plain,
( spl0_295
| ~ spl0_52
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f748,f690,f471,f3347]) ).
fof(f3347,plain,
( spl0_295
<=> ! [X0] : skaf52(X0) = app(nil,skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f748,plain,
( ! [X0] : skaf52(X0) = app(nil,skaf52(X0))
| ~ spl0_52
| ~ spl0_97 ),
inference(resolution,[],[f691,f472]) ).
fof(f3345,plain,
( spl0_294
| ~ spl0_51
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f747,f690,f467,f3343]) ).
fof(f3343,plain,
( spl0_294
<=> ! [X0] : skaf53(X0) = app(nil,skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f747,plain,
( ! [X0] : skaf53(X0) = app(nil,skaf53(X0))
| ~ spl0_51
| ~ spl0_97 ),
inference(resolution,[],[f691,f468]) ).
fof(f3341,plain,
( spl0_293
| ~ spl0_48
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f746,f690,f455,f3339]) ).
fof(f3339,plain,
( spl0_293
<=> ! [X0] : skaf56(X0) = app(nil,skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f746,plain,
( ! [X0] : skaf56(X0) = app(nil,skaf56(X0))
| ~ spl0_48
| ~ spl0_97 ),
inference(resolution,[],[f691,f456]) ).
fof(f3337,plain,
( spl0_292
| ~ spl0_47
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f745,f690,f451,f3335]) ).
fof(f3335,plain,
( spl0_292
<=> ! [X0] : skaf57(X0) = app(nil,skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f745,plain,
( ! [X0] : skaf57(X0) = app(nil,skaf57(X0))
| ~ spl0_47
| ~ spl0_97 ),
inference(resolution,[],[f691,f452]) ).
fof(f3333,plain,
( spl0_291
| ~ spl0_46
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f744,f690,f447,f3331]) ).
fof(f3331,plain,
( spl0_291
<=> ! [X0] : skaf58(X0) = app(nil,skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f744,plain,
( ! [X0] : skaf58(X0) = app(nil,skaf58(X0))
| ~ spl0_46
| ~ spl0_97 ),
inference(resolution,[],[f691,f448]) ).
fof(f3329,plain,
( spl0_290
| ~ spl0_43
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f743,f690,f435,f3327]) ).
fof(f3327,plain,
( spl0_290
<=> ! [X0] : skaf61(X0) = app(nil,skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f743,plain,
( ! [X0] : skaf61(X0) = app(nil,skaf61(X0))
| ~ spl0_43
| ~ spl0_97 ),
inference(resolution,[],[f691,f436]) ).
fof(f3307,plain,
( spl0_289
| ~ spl0_42
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f742,f690,f431,f3305]) ).
fof(f3305,plain,
( spl0_289
<=> ! [X0] : skaf62(X0) = app(nil,skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f742,plain,
( ! [X0] : skaf62(X0) = app(nil,skaf62(X0))
| ~ spl0_42
| ~ spl0_97 ),
inference(resolution,[],[f691,f432]) ).
fof(f3303,plain,
( spl0_288
| ~ spl0_41
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f741,f690,f427,f3301]) ).
fof(f3301,plain,
( spl0_288
<=> ! [X0] : skaf63(X0) = app(nil,skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f741,plain,
( ! [X0] : skaf63(X0) = app(nil,skaf63(X0))
| ~ spl0_41
| ~ spl0_97 ),
inference(resolution,[],[f691,f428]) ).
fof(f3299,plain,
( spl0_287
| ~ spl0_38
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f740,f690,f415,f3297]) ).
fof(f3297,plain,
( spl0_287
<=> ! [X0] : skaf66(X0) = app(nil,skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f740,plain,
( ! [X0] : skaf66(X0) = app(nil,skaf66(X0))
| ~ spl0_38
| ~ spl0_97 ),
inference(resolution,[],[f691,f416]) ).
fof(f3295,plain,
( spl0_286
| ~ spl0_37
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f739,f690,f411,f3293]) ).
fof(f3293,plain,
( spl0_286
<=> ! [X0] : skaf67(X0) = app(nil,skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f739,plain,
( ! [X0] : skaf67(X0) = app(nil,skaf67(X0))
| ~ spl0_37
| ~ spl0_97 ),
inference(resolution,[],[f691,f412]) ).
fof(f3291,plain,
( spl0_285
| ~ spl0_36
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f738,f690,f407,f3289]) ).
fof(f3289,plain,
( spl0_285
<=> ! [X0] : skaf68(X0) = app(nil,skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f738,plain,
( ! [X0] : skaf68(X0) = app(nil,skaf68(X0))
| ~ spl0_36
| ~ spl0_97 ),
inference(resolution,[],[f691,f408]) ).
fof(f3287,plain,
( spl0_284
| ~ spl0_33
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f737,f690,f395,f3285]) ).
fof(f3285,plain,
( spl0_284
<=> ! [X0] : skaf71(X0) = app(nil,skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f737,plain,
( ! [X0] : skaf71(X0) = app(nil,skaf71(X0))
| ~ spl0_33
| ~ spl0_97 ),
inference(resolution,[],[f691,f396]) ).
fof(f3283,plain,
( spl0_283
| ~ spl0_32
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f736,f690,f391,f3281]) ).
fof(f3281,plain,
( spl0_283
<=> ! [X0] : skaf72(X0) = app(nil,skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f736,plain,
( ! [X0] : skaf72(X0) = app(nil,skaf72(X0))
| ~ spl0_32
| ~ spl0_97 ),
inference(resolution,[],[f691,f392]) ).
fof(f3279,plain,
( spl0_282
| ~ spl0_31
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f735,f690,f387,f3277]) ).
fof(f3277,plain,
( spl0_282
<=> ! [X0] : skaf73(X0) = app(nil,skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f735,plain,
( ! [X0] : skaf73(X0) = app(nil,skaf73(X0))
| ~ spl0_31
| ~ spl0_97 ),
inference(resolution,[],[f691,f388]) ).
fof(f3275,plain,
( spl0_281
| ~ spl0_29
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f734,f690,f379,f3273]) ).
fof(f3273,plain,
( spl0_281
<=> ! [X0] : skaf75(X0) = app(nil,skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f734,plain,
( ! [X0] : skaf75(X0) = app(nil,skaf75(X0))
| ~ spl0_29
| ~ spl0_97 ),
inference(resolution,[],[f691,f380]) ).
fof(f3271,plain,
( spl0_280
| ~ spl0_28
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f733,f690,f375,f3269]) ).
fof(f3269,plain,
( spl0_280
<=> ! [X0] : skaf76(X0) = app(nil,skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f733,plain,
( ! [X0] : skaf76(X0) = app(nil,skaf76(X0))
| ~ spl0_28
| ~ spl0_97 ),
inference(resolution,[],[f691,f376]) ).
fof(f3249,plain,
( spl0_279
| ~ spl0_27
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f732,f690,f371,f3247]) ).
fof(f3247,plain,
( spl0_279
<=> ! [X0] : skaf77(X0) = app(nil,skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f732,plain,
( ! [X0] : skaf77(X0) = app(nil,skaf77(X0))
| ~ spl0_27
| ~ spl0_97 ),
inference(resolution,[],[f691,f372]) ).
fof(f3245,plain,
( spl0_278
| ~ spl0_24
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f731,f690,f359,f3243]) ).
fof(f3243,plain,
( spl0_278
<=> ! [X0] : skaf80(X0) = app(nil,skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f731,plain,
( ! [X0] : skaf80(X0) = app(nil,skaf80(X0))
| ~ spl0_24
| ~ spl0_97 ),
inference(resolution,[],[f691,f360]) ).
fof(f3241,plain,
( spl0_277
| ~ spl0_23
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f730,f690,f355,f3239]) ).
fof(f3239,plain,
( spl0_277
<=> ! [X0] : skaf81(X0) = app(nil,skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f730,plain,
( ! [X0] : skaf81(X0) = app(nil,skaf81(X0))
| ~ spl0_23
| ~ spl0_97 ),
inference(resolution,[],[f691,f356]) ).
fof(f3237,plain,
( spl0_276
| ~ spl0_22
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f729,f690,f351,f3235]) ).
fof(f3235,plain,
( spl0_276
<=> ! [X0] : skaf82(X0) = app(nil,skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f729,plain,
( ! [X0] : skaf82(X0) = app(nil,skaf82(X0))
| ~ spl0_22
| ~ spl0_97 ),
inference(resolution,[],[f691,f352]) ).
fof(f3233,plain,
( spl0_275
| ~ spl0_53
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f714,f686,f475,f3231]) ).
fof(f3231,plain,
( spl0_275
<=> ! [X0] : skaf51(X0) = app(skaf51(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f714,plain,
( ! [X0] : skaf51(X0) = app(skaf51(X0),nil)
| ~ spl0_53
| ~ spl0_96 ),
inference(resolution,[],[f687,f476]) ).
fof(f3229,plain,
( spl0_274
| ~ spl0_52
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f713,f686,f471,f3227]) ).
fof(f3227,plain,
( spl0_274
<=> ! [X0] : skaf52(X0) = app(skaf52(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f713,plain,
( ! [X0] : skaf52(X0) = app(skaf52(X0),nil)
| ~ spl0_52
| ~ spl0_96 ),
inference(resolution,[],[f687,f472]) ).
fof(f3225,plain,
( spl0_273
| ~ spl0_51
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f712,f686,f467,f3223]) ).
fof(f3223,plain,
( spl0_273
<=> ! [X0] : skaf53(X0) = app(skaf53(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f712,plain,
( ! [X0] : skaf53(X0) = app(skaf53(X0),nil)
| ~ spl0_51
| ~ spl0_96 ),
inference(resolution,[],[f687,f468]) ).
fof(f3221,plain,
( spl0_272
| ~ spl0_48
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f711,f686,f455,f3219]) ).
fof(f3219,plain,
( spl0_272
<=> ! [X0] : skaf56(X0) = app(skaf56(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f711,plain,
( ! [X0] : skaf56(X0) = app(skaf56(X0),nil)
| ~ spl0_48
| ~ spl0_96 ),
inference(resolution,[],[f687,f456]) ).
fof(f3217,plain,
( spl0_271
| ~ spl0_47
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f710,f686,f451,f3215]) ).
fof(f3215,plain,
( spl0_271
<=> ! [X0] : skaf57(X0) = app(skaf57(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f710,plain,
( ! [X0] : skaf57(X0) = app(skaf57(X0),nil)
| ~ spl0_47
| ~ spl0_96 ),
inference(resolution,[],[f687,f452]) ).
fof(f3213,plain,
( spl0_270
| ~ spl0_46
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f709,f686,f447,f3211]) ).
fof(f3211,plain,
( spl0_270
<=> ! [X0] : skaf58(X0) = app(skaf58(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f709,plain,
( ! [X0] : skaf58(X0) = app(skaf58(X0),nil)
| ~ spl0_46
| ~ spl0_96 ),
inference(resolution,[],[f687,f448]) ).
fof(f3205,plain,
( spl0_269
| ~ spl0_43
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f708,f686,f435,f3203]) ).
fof(f3203,plain,
( spl0_269
<=> ! [X0] : skaf61(X0) = app(skaf61(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f708,plain,
( ! [X0] : skaf61(X0) = app(skaf61(X0),nil)
| ~ spl0_43
| ~ spl0_96 ),
inference(resolution,[],[f687,f436]) ).
fof(f3201,plain,
( spl0_268
| ~ spl0_42
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f707,f686,f431,f3199]) ).
fof(f3199,plain,
( spl0_268
<=> ! [X0] : skaf62(X0) = app(skaf62(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f707,plain,
( ! [X0] : skaf62(X0) = app(skaf62(X0),nil)
| ~ spl0_42
| ~ spl0_96 ),
inference(resolution,[],[f687,f432]) ).
fof(f3197,plain,
( spl0_267
| ~ spl0_41
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f706,f686,f427,f3195]) ).
fof(f3195,plain,
( spl0_267
<=> ! [X0] : skaf63(X0) = app(skaf63(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f706,plain,
( ! [X0] : skaf63(X0) = app(skaf63(X0),nil)
| ~ spl0_41
| ~ spl0_96 ),
inference(resolution,[],[f687,f428]) ).
fof(f3193,plain,
( spl0_266
| ~ spl0_38
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f705,f686,f415,f3191]) ).
fof(f3191,plain,
( spl0_266
<=> ! [X0] : skaf66(X0) = app(skaf66(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f705,plain,
( ! [X0] : skaf66(X0) = app(skaf66(X0),nil)
| ~ spl0_38
| ~ spl0_96 ),
inference(resolution,[],[f687,f416]) ).
fof(f3189,plain,
( spl0_265
| ~ spl0_37
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f704,f686,f411,f3187]) ).
fof(f3187,plain,
( spl0_265
<=> ! [X0] : skaf67(X0) = app(skaf67(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f704,plain,
( ! [X0] : skaf67(X0) = app(skaf67(X0),nil)
| ~ spl0_37
| ~ spl0_96 ),
inference(resolution,[],[f687,f412]) ).
fof(f3185,plain,
( spl0_264
| ~ spl0_36
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f703,f686,f407,f3183]) ).
fof(f3183,plain,
( spl0_264
<=> ! [X0] : skaf68(X0) = app(skaf68(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f703,plain,
( ! [X0] : skaf68(X0) = app(skaf68(X0),nil)
| ~ spl0_36
| ~ spl0_96 ),
inference(resolution,[],[f687,f408]) ).
fof(f3181,plain,
( spl0_263
| ~ spl0_33
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f702,f686,f395,f3179]) ).
fof(f3179,plain,
( spl0_263
<=> ! [X0] : skaf71(X0) = app(skaf71(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f702,plain,
( ! [X0] : skaf71(X0) = app(skaf71(X0),nil)
| ~ spl0_33
| ~ spl0_96 ),
inference(resolution,[],[f687,f396]) ).
fof(f3177,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_262
| ~ spl0_9
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1994,f1281,f287,f3175,f250,f264]) ).
fof(f3175,plain,
( spl0_262
<=> ! [X0] :
( frontsegP(cons(sk6,X0),sk3)
| ~ frontsegP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1994,plain,
( ! [X0] :
( frontsegP(cons(sk6,X0),sk3)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ ssItem(sk6) )
| ~ spl0_9
| ~ spl0_171 ),
inference(superposition,[],[f1282,f289]) ).
fof(f3112,plain,
( spl0_261
| ~ spl0_4
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f618,f554,f260,f3110]) ).
fof(f618,plain,
( ! [X0] :
( frontsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_72 ),
inference(superposition,[],[f555,f262]) ).
fof(f3108,plain,
( spl0_260
| ~ spl0_4
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f617,f546,f260,f3106]) ).
fof(f617,plain,
( ! [X0] :
( rearsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_70 ),
inference(superposition,[],[f547,f262]) ).
fof(f3020,plain,
( spl0_259
| ~ spl0_17
| ~ spl0_190
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2499,f2377,f1530,f327,f3017]) ).
fof(f3017,plain,
( spl0_259
<=> tl(sk4) = app(tl(sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2499,plain,
( tl(sk4) = app(tl(sk4),nil)
| ~ spl0_17
| ~ spl0_190
| ~ spl0_220 ),
inference(forward_demodulation,[],[f2466,f1532]) ).
fof(f2466,plain,
( tl(app(sk4,nil)) = app(tl(sk4),nil)
| ~ spl0_17
| ~ spl0_220 ),
inference(resolution,[],[f2378,f329]) ).
fof(f3015,plain,
( spl0_258
| ~ spl0_32
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f701,f686,f391,f3013]) ).
fof(f3013,plain,
( spl0_258
<=> ! [X0] : skaf72(X0) = app(skaf72(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f701,plain,
( ! [X0] : skaf72(X0) = app(skaf72(X0),nil)
| ~ spl0_32
| ~ spl0_96 ),
inference(resolution,[],[f687,f392]) ).
fof(f3011,plain,
( spl0_257
| ~ spl0_31
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f700,f686,f387,f3009]) ).
fof(f3009,plain,
( spl0_257
<=> ! [X0] : skaf73(X0) = app(skaf73(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f700,plain,
( ! [X0] : skaf73(X0) = app(skaf73(X0),nil)
| ~ spl0_31
| ~ spl0_96 ),
inference(resolution,[],[f687,f388]) ).
fof(f3007,plain,
( spl0_256
| ~ spl0_29
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f699,f686,f379,f3005]) ).
fof(f3005,plain,
( spl0_256
<=> ! [X0] : skaf75(X0) = app(skaf75(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f699,plain,
( ! [X0] : skaf75(X0) = app(skaf75(X0),nil)
| ~ spl0_29
| ~ spl0_96 ),
inference(resolution,[],[f687,f380]) ).
fof(f3003,plain,
( spl0_255
| ~ spl0_28
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f698,f686,f375,f3001]) ).
fof(f3001,plain,
( spl0_255
<=> ! [X0] : skaf76(X0) = app(skaf76(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f698,plain,
( ! [X0] : skaf76(X0) = app(skaf76(X0),nil)
| ~ spl0_28
| ~ spl0_96 ),
inference(resolution,[],[f687,f376]) ).
fof(f2999,plain,
( spl0_254
| ~ spl0_27
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f697,f686,f371,f2997]) ).
fof(f2997,plain,
( spl0_254
<=> ! [X0] : skaf77(X0) = app(skaf77(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f697,plain,
( ! [X0] : skaf77(X0) = app(skaf77(X0),nil)
| ~ spl0_27
| ~ spl0_96 ),
inference(resolution,[],[f687,f372]) ).
fof(f2995,plain,
( spl0_253
| ~ spl0_24
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f696,f686,f359,f2993]) ).
fof(f2993,plain,
( spl0_253
<=> ! [X0] : skaf80(X0) = app(skaf80(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f696,plain,
( ! [X0] : skaf80(X0) = app(skaf80(X0),nil)
| ~ spl0_24
| ~ spl0_96 ),
inference(resolution,[],[f687,f360]) ).
fof(f2991,plain,
( spl0_252
| ~ spl0_23
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f695,f686,f355,f2989]) ).
fof(f2989,plain,
( spl0_252
<=> ! [X0] : skaf81(X0) = app(skaf81(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f695,plain,
( ! [X0] : skaf81(X0) = app(skaf81(X0),nil)
| ~ spl0_23
| ~ spl0_96 ),
inference(resolution,[],[f687,f356]) ).
fof(f2987,plain,
( spl0_251
| ~ spl0_22
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f694,f686,f351,f2985]) ).
fof(f2985,plain,
( spl0_251
<=> ! [X0] : skaf82(X0) = app(skaf82(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f694,plain,
( ! [X0] : skaf82(X0) = app(skaf82(X0),nil)
| ~ spl0_22
| ~ spl0_96 ),
inference(resolution,[],[f687,f352]) ).
fof(f2980,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_250
| ~ spl0_8
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f1780,f1775,f281,f2978,f264,f327]) ).
fof(f2978,plain,
( spl0_250
<=> ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk6,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f1780,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk6,X1)),sk3))
| ~ ssItem(sk6)
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),sk3))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl0_8
| ~ spl0_200 ),
inference(superposition,[],[f1776,f283]) ).
fof(f2969,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_249
| ~ spl0_8
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f1779,f1775,f281,f2967,f264,f327]) ).
fof(f2967,plain,
( spl0_249
<=> ! [X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(sk6,X1)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,sk3),cons(sk6,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1779,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sk3),cons(sk6,X1)))
| ~ ssItem(sk6)
| ~ duplicatefreeP(app(app(X0,sk3),cons(sk6,X1)))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1) )
| ~ spl0_8
| ~ spl0_200 ),
inference(superposition,[],[f1776,f283]) ).
fof(f2963,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_248
| ~ spl0_8
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f1772,f1768,f281,f2961,f264,f327]) ).
fof(f2961,plain,
( spl0_248
<=> ! [X0,X1] :
( ~ ssList(app(X0,cons(X1,sk3)))
| sk6 = X1
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,sk3)))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1772,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,cons(X1,sk3)))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,sk3)))
| ~ ssList(X0)
| ~ ssList(nil)
| sk6 = X1 )
| ~ spl0_8
| ~ spl0_199 ),
inference(superposition,[],[f1769,f283]) ).
fof(f2929,plain,
( spl0_247
| ~ spl0_17
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f693,f686,f327,f2926]) ).
fof(f2926,plain,
( spl0_247
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f693,plain,
( nil = app(nil,nil)
| ~ spl0_17
| ~ spl0_96 ),
inference(resolution,[],[f687,f329]) ).
fof(f2923,plain,
( ~ spl0_5
| spl0_246
| ~ spl0_8
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f625,f594,f281,f2921,f264]) ).
fof(f594,plain,
( spl0_82
<=> ! [X6,X7,X8] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X8,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f625,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,sk5(X1,X0,sk6))
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_82 ),
inference(superposition,[],[f595,f283]) ).
fof(f595,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X8,sk5(X8,X7,X6))
| ~ ssItem(X6) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f2918,plain,
( ~ spl0_5
| spl0_245
| ~ spl0_8
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f599,f590,f281,f2916,f264]) ).
fof(f590,plain,
( spl0_81
<=> ! [X6,X7,X8] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f599,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X0,sk5(X1,X0,sk6))
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_81 ),
inference(superposition,[],[f591,f283]) ).
fof(f591,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f2909,plain,
( ~ spl0_5
| spl0_244
| ~ spl0_8
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f598,f586,f281,f2907,f264]) ).
fof(f586,plain,
( spl0_80
<=> ! [X6,X7,X8] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| lt(X6,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f598,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| lt(sk6,sk5(X1,X0,sk6))
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_80 ),
inference(superposition,[],[f587,f283]) ).
fof(f587,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| lt(X6,sk5(X8,X7,X6))
| ~ ssItem(X6) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f2897,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_243
| ~ spl0_8
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1507,f1462,f281,f2895,f264,f327]) ).
fof(f1462,plain,
( spl0_186
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1507,plain,
( ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sk3)
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(nil)
| sk6 = X0
| ~ ssItem(X0) )
| ~ spl0_8
| ~ spl0_186 ),
inference(superposition,[],[f1463,f283]) ).
fof(f1463,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f2886,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_242
| ~ spl0_8
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1506,f1462,f281,f2884,f327,f264]) ).
fof(f2884,plain,
( spl0_242
<=> ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| sk6 = X0
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f1506,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sk6 = X0
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_186 ),
inference(superposition,[],[f1463,f283]) ).
fof(f2875,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_241
| ~ spl0_8
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1500,f1458,f281,f2873,f327,f264]) ).
fof(f1458,plain,
( spl0_185
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1500,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_185 ),
inference(superposition,[],[f1459,f283]) ).
fof(f1459,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ ssItem(X0) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f2864,plain,
( spl0_240
| ~ spl0_17
| ~ spl0_187
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2370,f2334,f1471,f327,f2861]) ).
fof(f2861,plain,
( spl0_240
<=> tl(sk3) = app(tl(sk3),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2370,plain,
( tl(sk3) = app(tl(sk3),nil)
| ~ spl0_17
| ~ spl0_187
| ~ spl0_218 ),
inference(forward_demodulation,[],[f2337,f1473]) ).
fof(f2337,plain,
( tl(app(sk3,nil)) = app(tl(sk3),nil)
| ~ spl0_17
| ~ spl0_218 ),
inference(resolution,[],[f2335,f329]) ).
fof(f2859,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_239
| ~ spl0_8
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1488,f1450,f281,f2857,f264,f327]) ).
fof(f1450,plain,
( spl0_183
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1488,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0) )
| ~ spl0_8
| ~ spl0_183 ),
inference(superposition,[],[f1451,f283]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f2848,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_238
| ~ spl0_8
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1484,f1446,f281,f2846,f264,f327]) ).
fof(f1446,plain,
( spl0_182
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1484,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| sk6 = X0
| ~ ssItem(X0) )
| ~ spl0_8
| ~ spl0_182 ),
inference(superposition,[],[f1447,f283]) ).
fof(f1447,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f2771,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_237
| ~ spl0_8
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1520,f1511,f281,f2769,f327,f264]) ).
fof(f2769,plain,
( spl0_237
<=> ! [X0] :
( memberP(app(X0,sk3),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1520,plain,
( ! [X0] :
( memberP(app(X0,sk3),sk6)
| ~ ssList(app(X0,sk3))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_188 ),
inference(superposition,[],[f1512,f283]) ).
fof(f2744,plain,
( spl0_236
| ~ spl0_5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1475,f1442,f269,f250,f264,f2741]) ).
fof(f2741,plain,
( spl0_236
<=> sk4 = app(skaf42(sk4,sk6),cons(sk6,skaf43(sk6,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1475,plain,
( ~ ssList(sk4)
| ~ ssItem(sk6)
| sk4 = app(skaf42(sk4,sk6),cons(sk6,skaf43(sk6,sk4)))
| ~ spl0_6
| ~ spl0_181 ),
inference(resolution,[],[f1443,f271]) ).
fof(f2739,plain,
( spl0_235
| ~ spl0_5
| spl0_4
| ~ spl0_2
| ~ spl0_131
| ~ spl0_9
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f2582,f1192,f287,f923,f250,f260,f264,f2736]) ).
fof(f923,plain,
( spl0_131
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1192,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f2582,plain,
( ~ strictorderedP(sk3)
| ~ ssList(sk4)
| nil = sk4
| ~ ssItem(sk6)
| lt(sk6,hd(sk4))
| ~ spl0_9
| ~ spl0_157 ),
inference(superposition,[],[f1193,f289]) ).
fof(f1193,plain,
( ! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f2699,plain,
( spl0_234
| ~ spl0_4
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f616,f538,f260,f2697]) ).
fof(f616,plain,
( ! [X0] :
( segmentP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_68 ),
inference(superposition,[],[f539,f262]) ).
fof(f2695,plain,
( ~ spl0_233
| ~ spl0_4
| spl0_20 ),
inference(avatar_split_clause,[],[f614,f342,f260,f2692]) ).
fof(f2692,plain,
( spl0_233
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f342,plain,
( spl0_20
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f614,plain,
( ~ singletonP(sk4)
| ~ spl0_4
| spl0_20 ),
inference(superposition,[],[f344,f262]) ).
fof(f344,plain,
( ~ singletonP(nil)
| spl0_20 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f2656,plain,
( spl0_232
| ~ spl0_2
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2331,f2220,f250,f2653]) ).
fof(f2653,plain,
( spl0_232
<=> hd(sk4) = hd(app(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2331,plain,
( hd(sk4) = hd(app(sk4,sk4))
| ~ spl0_2
| ~ spl0_216 ),
inference(resolution,[],[f2221,f252]) ).
fof(f2615,plain,
( spl0_231
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f612,f322,f260,f2612]) ).
fof(f2612,plain,
( spl0_231
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f322,plain,
( spl0_16
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f612,plain,
( cyclefreeP(sk4)
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f324,f262]) ).
fof(f324,plain,
( cyclefreeP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f2536,plain,
( spl0_230
| ~ spl0_1
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2330,f2220,f245,f2533]) ).
fof(f2533,plain,
( spl0_230
<=> hd(sk4) = hd(app(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2330,plain,
( hd(sk4) = hd(app(sk4,sk3))
| ~ spl0_1
| ~ spl0_216 ),
inference(resolution,[],[f2221,f247]) ).
fof(f2531,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_229
| ~ spl0_8
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1434,f1356,f281,f2529,f327,f264]) ).
fof(f2529,plain,
( spl0_229
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(nil,X0)
| sk6 = X0
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1434,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| sk6 = X0
| memberP(nil,X0)
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_179 ),
inference(superposition,[],[f1357,f283]) ).
fof(f2527,plain,
( spl0_228
| ~ spl0_2
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1424,f1331,f250,f2525]) ).
fof(f1424,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_2
| ~ spl0_173 ),
inference(resolution,[],[f1332,f252]) ).
fof(f2523,plain,
( spl0_227
| ~ spl0_1
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1423,f1331,f245,f2521]) ).
fof(f1423,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_1
| ~ spl0_173 ),
inference(resolution,[],[f1332,f247]) ).
fof(f2515,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_226
| ~ spl0_8
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1325,f1281,f281,f2513,f327,f264]) ).
fof(f2513,plain,
( spl0_226
<=> ! [X0] :
( frontsegP(cons(sk6,X0),sk3)
| ~ frontsegP(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1325,plain,
( ! [X0] :
( frontsegP(cons(sk6,X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_171 ),
inference(superposition,[],[f1282,f283]) ).
fof(f2507,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_225
| ~ spl0_8
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1324,f1281,f281,f2505,f327,f264]) ).
fof(f1324,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk6,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0)
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_171 ),
inference(superposition,[],[f1282,f283]) ).
fof(f2503,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_224
| ~ spl0_9
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2422,f1119,f287,f2501,f264,f250]) ).
fof(f2422,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_9
| ~ spl0_153 ),
inference(superposition,[],[f1120,f289]) ).
fof(f2465,plain,
( spl0_223
| ~ spl0_2
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2218,f2183,f250,f2462]) ).
fof(f2462,plain,
( spl0_223
<=> hd(sk3) = hd(app(sk3,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2218,plain,
( hd(sk3) = hd(app(sk3,sk4))
| ~ spl0_2
| ~ spl0_215 ),
inference(resolution,[],[f2184,f252]) ).
fof(f2459,plain,
( spl0_222
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f611,f317,f260,f2456]) ).
fof(f2456,plain,
( spl0_222
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f317,plain,
( spl0_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f611,plain,
( totalorderP(sk4)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f319,f262]) ).
fof(f319,plain,
( totalorderP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f2454,plain,
( spl0_221
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f610,f312,f260,f2451]) ).
fof(f2451,plain,
( spl0_221
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f312,plain,
( spl0_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f610,plain,
( strictorderP(sk4)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f314,f262]) ).
fof(f314,plain,
( strictorderP(nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f2379,plain,
( spl0_4
| spl0_220
| ~ spl0_2
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1316,f1269,f250,f2377,f260]) ).
fof(f1316,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| tl(app(sk4,X0)) = app(tl(sk4),X0) )
| ~ spl0_2
| ~ spl0_168 ),
inference(resolution,[],[f1270,f252]) ).
fof(f2375,plain,
( spl0_219
| ~ spl0_1
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2217,f2183,f245,f2372]) ).
fof(f2372,plain,
( spl0_219
<=> hd(sk3) = hd(app(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2217,plain,
( hd(sk3) = hd(app(sk3,sk3))
| ~ spl0_1
| ~ spl0_215 ),
inference(resolution,[],[f2184,f247]) ).
fof(f2336,plain,
( spl0_3
| spl0_218
| ~ spl0_1
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1315,f1269,f245,f2334,f255]) ).
fof(f255,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1315,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_1
| ~ spl0_168 ),
inference(resolution,[],[f1270,f247]) ).
fof(f2332,plain,
( ~ spl0_5
| spl0_4
| spl0_217
| ~ spl0_2
| ~ spl0_144
| ~ spl0_9
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1990,f1029,f287,f1049,f250,f2258,f260,f264]) ).
fof(f1049,plain,
( spl0_144
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1990,plain,
( ~ totalorderedP(sk3)
| ~ ssList(sk4)
| totalorderedP(sk4)
| nil = sk4
| ~ ssItem(sk6)
| ~ spl0_9
| ~ spl0_139 ),
inference(superposition,[],[f1030,f289]) ).
fof(f2261,plain,
( spl0_217
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f609,f307,f260,f2258]) ).
fof(f609,plain,
( totalorderedP(sk4)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f309,f262]) ).
fof(f309,plain,
( totalorderedP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f2222,plain,
( spl0_4
| spl0_216
| ~ spl0_2
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1167,f1099,f250,f2220,f260]) ).
fof(f1167,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_148 ),
inference(resolution,[],[f1100,f252]) ).
fof(f2185,plain,
( spl0_3
| spl0_215
| ~ spl0_1
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1166,f1099,f245,f2183,f255]) ).
fof(f1166,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_148 ),
inference(resolution,[],[f1100,f247]) ).
fof(f2181,plain,
( ~ spl0_5
| spl0_4
| spl0_214
| ~ spl0_2
| ~ spl0_131
| ~ spl0_9
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1989,f1025,f287,f923,f250,f2141,f260,f264]) ).
fof(f1989,plain,
( ~ strictorderedP(sk3)
| ~ ssList(sk4)
| strictorderedP(sk4)
| nil = sk4
| ~ ssItem(sk6)
| ~ spl0_9
| ~ spl0_138 ),
inference(superposition,[],[f1026,f289]) ).
fof(f2144,plain,
( spl0_214
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f608,f302,f260,f2141]) ).
fof(f302,plain,
( spl0_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f608,plain,
( strictorderedP(sk4)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f304,f262]) ).
fof(f304,plain,
( strictorderedP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f2105,plain,
( spl0_213
| spl0_4
| ~ spl0_2
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1015,f939,f250,f260,f2102]) ).
fof(f1015,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_2
| ~ spl0_133 ),
inference(resolution,[],[f940,f252]) ).
fof(f2065,plain,
( spl0_212
| spl0_3
| ~ spl0_1
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1014,f939,f245,f255,f2062]) ).
fof(f1014,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_1
| ~ spl0_133 ),
inference(resolution,[],[f940,f247]) ).
fof(f2023,plain,
( spl0_211
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f607,f297,f260,f2020]) ).
fof(f2020,plain,
( spl0_211
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f297,plain,
( spl0_11
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f607,plain,
( duplicatefreeP(sk4)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f299,f262]) ).
fof(f299,plain,
( duplicatefreeP(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f1949,plain,
( spl0_210
| spl0_4
| ~ spl0_2
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f982,f935,f250,f260,f1946]) ).
fof(f982,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_2
| ~ spl0_132 ),
inference(resolution,[],[f936,f252]) ).
fof(f1909,plain,
( spl0_209
| spl0_3
| ~ spl0_1
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f981,f935,f245,f255,f1906]) ).
fof(f981,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_1
| ~ spl0_132 ),
inference(resolution,[],[f936,f247]) ).
fof(f1903,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_208
| ~ spl0_8
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f852,f847,f281,f1900,f327,f264]) ).
fof(f852,plain,
( memberP(sk3,sk6)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_116 ),
inference(superposition,[],[f848,f283]) ).
fof(f1897,plain,
( spl0_207
| ~ spl0_5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f932,f907,f281,f245,f264,f1894]) ).
fof(f932,plain,
( ~ ssList(sk3)
| ~ ssItem(sk6)
| singletonP(sk3)
| ~ spl0_8
| ~ spl0_130 ),
inference(superposition,[],[f908,f283]) ).
fof(f1811,plain,
spl0_206,
inference(avatar_split_clause,[],[f237,f1809]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f1807,plain,
spl0_205,
inference(avatar_split_clause,[],[f236,f1805]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f1803,plain,
spl0_204,
inference(avatar_split_clause,[],[f235,f1801]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f1793,plain,
( spl0_203
| ~ spl0_2
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f757,f690,f250,f1790]) ).
fof(f757,plain,
( sk4 = app(nil,sk4)
| ~ spl0_2
| ~ spl0_97 ),
inference(resolution,[],[f691,f252]) ).
fof(f1788,plain,
spl0_202,
inference(avatar_split_clause,[],[f234,f1786]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f1784,plain,
spl0_201,
inference(avatar_split_clause,[],[f233,f1782]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f1777,plain,
spl0_200,
inference(avatar_split_clause,[],[f230,f1775]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f1770,plain,
spl0_199,
inference(avatar_split_clause,[],[f232,f1768]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f1764,plain,
spl0_198,
inference(avatar_split_clause,[],[f177,f1762]) ).
fof(f1762,plain,
( spl0_198
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f1694,plain,
( spl0_197
| ~ spl0_1
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f756,f690,f245,f1691]) ).
fof(f756,plain,
( sk3 = app(nil,sk3)
| ~ spl0_1
| ~ spl0_97 ),
inference(resolution,[],[f691,f247]) ).
fof(f1557,plain,
spl0_196,
inference(avatar_split_clause,[],[f167,f1555]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f1553,plain,
spl0_195,
inference(avatar_split_clause,[],[f166,f1551]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f1549,plain,
spl0_194,
inference(avatar_split_clause,[],[f165,f1547]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f1545,plain,
spl0_193,
inference(avatar_split_clause,[],[f164,f1543]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1541,plain,
spl0_192,
inference(avatar_split_clause,[],[f163,f1539]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f1537,plain,
spl0_191,
inference(avatar_split_clause,[],[f162,f1535]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f1533,plain,
( spl0_190
| ~ spl0_2
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f722,f686,f250,f1530]) ).
fof(f722,plain,
( sk4 = app(sk4,nil)
| ~ spl0_2
| ~ spl0_96 ),
inference(resolution,[],[f687,f252]) ).
fof(f1517,plain,
spl0_189,
inference(avatar_split_clause,[],[f229,f1515]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f1513,plain,
spl0_188,
inference(avatar_split_clause,[],[f228,f1511]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1474,plain,
( spl0_187
| ~ spl0_1
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f721,f686,f245,f1471]) ).
fof(f721,plain,
( sk3 = app(sk3,nil)
| ~ spl0_1
| ~ spl0_96 ),
inference(resolution,[],[f687,f247]) ).
fof(f1464,plain,
spl0_186,
inference(avatar_split_clause,[],[f176,f1462]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f1460,plain,
spl0_185,
inference(avatar_split_clause,[],[f174,f1458]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1456,plain,
spl0_184,
inference(avatar_split_clause,[],[f172,f1454]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f1452,plain,
spl0_183,
inference(avatar_split_clause,[],[f171,f1450]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f1448,plain,
spl0_182,
inference(avatar_split_clause,[],[f170,f1446]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1444,plain,
spl0_181,
inference(avatar_split_clause,[],[f169,f1442]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1440,plain,
spl0_180,
inference(avatar_split_clause,[],[f168,f1438]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1358,plain,
spl0_179,
inference(avatar_split_clause,[],[f161,f1356]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f1354,plain,
spl0_178,
inference(avatar_split_clause,[],[f160,f1352]) ).
fof(f1352,plain,
( spl0_178
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1350,plain,
spl0_177,
inference(avatar_split_clause,[],[f159,f1348]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f1346,plain,
spl0_176,
inference(avatar_split_clause,[],[f158,f1344]) ).
fof(f1344,plain,
( spl0_176
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1342,plain,
spl0_175,
inference(avatar_split_clause,[],[f157,f1340]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1338,plain,
( ~ spl0_5
| spl0_174
| ~ spl0_8
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f684,f668,f281,f1335,f264]) ).
fof(f1335,plain,
( spl0_174
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f668,plain,
( spl0_93
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f684,plain,
( cyclefreeP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_93 ),
inference(superposition,[],[f669,f283]) ).
fof(f669,plain,
( ! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f1333,plain,
spl0_173,
inference(avatar_split_clause,[],[f149,f1331]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f1329,plain,
spl0_172,
inference(avatar_split_clause,[],[f142,f1327]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f1283,plain,
spl0_171,
inference(avatar_split_clause,[],[f238,f1281]) ).
fof(f238,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f1279,plain,
spl0_170,
inference(avatar_split_clause,[],[f151,f1277]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f1275,plain,
spl0_169,
inference(avatar_split_clause,[],[f150,f1273]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f1271,plain,
spl0_168,
inference(avatar_split_clause,[],[f133,f1269]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f1235,plain,
( ~ spl0_5
| spl0_167
| ~ spl0_8
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f683,f664,f281,f1232,f264]) ).
fof(f1232,plain,
( spl0_167
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f664,plain,
( spl0_92
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f683,plain,
( totalorderP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_92 ),
inference(superposition,[],[f665,f283]) ).
fof(f665,plain,
( ! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1230,plain,
spl0_166,
inference(avatar_split_clause,[],[f156,f1228]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f1226,plain,
spl0_165,
inference(avatar_split_clause,[],[f155,f1224]) ).
fof(f1224,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1222,plain,
spl0_164,
inference(avatar_split_clause,[],[f154,f1220]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f1218,plain,
spl0_163,
inference(avatar_split_clause,[],[f153,f1216]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f1214,plain,
spl0_162,
inference(avatar_split_clause,[],[f152,f1212]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1210,plain,
spl0_161,
inference(avatar_split_clause,[],[f148,f1208]) ).
fof(f1208,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f1206,plain,
spl0_160,
inference(avatar_split_clause,[],[f147,f1204]) ).
fof(f1204,plain,
( spl0_160
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f1202,plain,
spl0_159,
inference(avatar_split_clause,[],[f146,f1200]) ).
fof(f1200,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f1198,plain,
spl0_158,
inference(avatar_split_clause,[],[f135,f1196]) ).
fof(f1196,plain,
( spl0_158
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f1194,plain,
spl0_157,
inference(avatar_split_clause,[],[f134,f1192]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f1134,plain,
spl0_156,
inference(avatar_split_clause,[],[f141,f1132]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1130,plain,
spl0_155,
inference(avatar_split_clause,[],[f140,f1128]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1126,plain,
( ~ spl0_5
| spl0_154
| ~ spl0_8
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f682,f660,f281,f1123,f264]) ).
fof(f1123,plain,
( spl0_154
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f660,plain,
( spl0_91
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f682,plain,
( strictorderP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_91 ),
inference(superposition,[],[f661,f283]) ).
fof(f661,plain,
( ! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1121,plain,
spl0_153,
inference(avatar_split_clause,[],[f139,f1119]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1117,plain,
spl0_152,
inference(avatar_split_clause,[],[f137,f1115]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f1113,plain,
spl0_151,
inference(avatar_split_clause,[],[f136,f1111]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f1109,plain,
spl0_150,
inference(avatar_split_clause,[],[f132,f1107]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f1105,plain,
spl0_149,
inference(avatar_split_clause,[],[f131,f1103]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1101,plain,
spl0_148,
inference(avatar_split_clause,[],[f123,f1099]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1064,plain,
spl0_147,
inference(avatar_split_clause,[],[f225,f1062]) ).
fof(f225,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f1060,plain,
spl0_146,
inference(avatar_split_clause,[],[f224,f1058]) ).
fof(f224,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f1056,plain,
spl0_145,
inference(avatar_split_clause,[],[f130,f1054]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f1052,plain,
( ~ spl0_5
| spl0_144
| ~ spl0_8
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f681,f656,f281,f1049,f264]) ).
fof(f656,plain,
( spl0_90
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f681,plain,
( totalorderedP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_90 ),
inference(superposition,[],[f657,f283]) ).
fof(f657,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f1047,plain,
spl0_143,
inference(avatar_split_clause,[],[f129,f1045]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f1043,plain,
spl0_142,
inference(avatar_split_clause,[],[f128,f1041]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f1039,plain,
spl0_141,
inference(avatar_split_clause,[],[f127,f1037]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f1035,plain,
spl0_140,
inference(avatar_split_clause,[],[f126,f1033]) ).
fof(f1033,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f1031,plain,
spl0_139,
inference(avatar_split_clause,[],[f125,f1029]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1027,plain,
spl0_138,
inference(avatar_split_clause,[],[f124,f1025]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1023,plain,
spl0_137,
inference(avatar_split_clause,[],[f121,f1021]) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f1019,plain,
spl0_136,
inference(avatar_split_clause,[],[f120,f1017]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f949,plain,
spl0_135,
inference(avatar_split_clause,[],[f119,f947]) ).
fof(f947,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f945,plain,
spl0_134,
inference(avatar_split_clause,[],[f118,f943]) ).
fof(f943,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f941,plain,
spl0_133,
inference(avatar_split_clause,[],[f109,f939]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f937,plain,
spl0_132,
inference(avatar_split_clause,[],[f104,f935]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f926,plain,
( ~ spl0_5
| spl0_131
| ~ spl0_8
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f680,f652,f281,f923,f264]) ).
fof(f680,plain,
( strictorderedP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_89 ),
inference(superposition,[],[f653,f283]) ).
fof(f909,plain,
spl0_130,
inference(avatar_split_clause,[],[f219,f907]) ).
fof(f219,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f905,plain,
spl0_129,
inference(avatar_split_clause,[],[f114,f903]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f901,plain,
spl0_128,
inference(avatar_split_clause,[],[f110,f899]) ).
fof(f899,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f897,plain,
spl0_127,
inference(avatar_split_clause,[],[f108,f895]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f893,plain,
spl0_126,
inference(avatar_split_clause,[],[f107,f891]) ).
fof(f891,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f889,plain,
spl0_125,
inference(avatar_split_clause,[],[f106,f887]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f885,plain,
spl0_124,
inference(avatar_split_clause,[],[f105,f883]) ).
fof(f883,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f881,plain,
spl0_123,
inference(avatar_split_clause,[],[f103,f879]) ).
fof(f879,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f877,plain,
spl0_122,
inference(avatar_split_clause,[],[f102,f875]) ).
fof(f875,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f873,plain,
spl0_121,
inference(avatar_split_clause,[],[f101,f871]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f869,plain,
spl0_120,
inference(avatar_split_clause,[],[f100,f867]) ).
fof(f867,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f865,plain,
( ~ spl0_5
| spl0_119
| ~ spl0_8
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f679,f637,f281,f862,f264]) ).
fof(f862,plain,
( spl0_119
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f637,plain,
( spl0_86
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f679,plain,
( duplicatefreeP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_86 ),
inference(superposition,[],[f638,f283]) ).
fof(f638,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f860,plain,
spl0_118,
inference(avatar_split_clause,[],[f97,f858]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f856,plain,
spl0_117,
inference(avatar_split_clause,[],[f96,f854]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f849,plain,
spl0_116,
inference(avatar_split_clause,[],[f240,f847]) ).
fof(f240,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f845,plain,
spl0_115,
inference(avatar_split_clause,[],[f99,f843]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f841,plain,
spl0_114,
inference(avatar_split_clause,[],[f98,f839]) ).
fof(f839,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f837,plain,
spl0_113,
inference(avatar_split_clause,[],[f95,f835]) ).
fof(f835,plain,
( spl0_113
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f833,plain,
spl0_112,
inference(avatar_split_clause,[],[f94,f831]) ).
fof(f831,plain,
( spl0_112
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f829,plain,
spl0_111,
inference(avatar_split_clause,[],[f93,f827]) ).
fof(f827,plain,
( spl0_111
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f825,plain,
( ~ spl0_5
| spl0_98
| ~ spl0_8
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f678,f627,f281,f724,f264]) ).
fof(f724,plain,
( spl0_98
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f627,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f678,plain,
( equalelemsP(sk3)
| ~ ssItem(sk6)
| ~ spl0_8
| ~ spl0_84 ),
inference(superposition,[],[f628,f283]) ).
fof(f628,plain,
( ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f824,plain,
spl0_110,
inference(avatar_split_clause,[],[f92,f822]) ).
fof(f822,plain,
( spl0_110
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f820,plain,
spl0_109,
inference(avatar_split_clause,[],[f91,f818]) ).
fof(f818,plain,
( spl0_109
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f816,plain,
spl0_108,
inference(avatar_split_clause,[],[f90,f814]) ).
fof(f814,plain,
( spl0_108
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f812,plain,
spl0_107,
inference(avatar_split_clause,[],[f89,f810]) ).
fof(f810,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f808,plain,
spl0_106,
inference(avatar_split_clause,[],[f88,f806]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f804,plain,
spl0_105,
inference(avatar_split_clause,[],[f87,f802]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f781,plain,
spl0_104,
inference(avatar_split_clause,[],[f86,f779]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f777,plain,
spl0_103,
inference(avatar_split_clause,[],[f85,f775]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f773,plain,
spl0_102,
inference(avatar_split_clause,[],[f84,f771]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f769,plain,
spl0_101,
inference(avatar_split_clause,[],[f82,f767]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f765,plain,
spl0_100,
inference(avatar_split_clause,[],[f80,f763]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f761,plain,
spl0_99,
inference(avatar_split_clause,[],[f75,f759]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f727,plain,
( ~ spl0_5
| spl0_98
| ~ spl0_9
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f635,f632,f287,f724,f264]) ).
fof(f635,plain,
( equalelemsP(sk3)
| ~ ssItem(sk6)
| ~ spl0_9
| ~ spl0_85 ),
inference(superposition,[],[f633,f289]) ).
fof(f692,plain,
spl0_97,
inference(avatar_split_clause,[],[f74,f690]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f688,plain,
spl0_96,
inference(avatar_split_clause,[],[f73,f686]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f677,plain,
( spl0_94
| spl0_95 ),
inference(avatar_split_clause,[],[f72,f675,f672]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f670,plain,
spl0_93,
inference(avatar_split_clause,[],[f70,f668]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f666,plain,
spl0_92,
inference(avatar_split_clause,[],[f69,f664]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f662,plain,
spl0_91,
inference(avatar_split_clause,[],[f68,f660]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f658,plain,
spl0_90,
inference(avatar_split_clause,[],[f67,f656]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f654,plain,
spl0_89,
inference(avatar_split_clause,[],[f66,f652]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f649,plain,
( spl0_88
| ~ spl0_4
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f640,f637,f260,f647]) ).
fof(f640,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_86 ),
inference(forward_demodulation,[],[f638,f262]) ).
fof(f645,plain,
( spl0_87
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f606,f292,f260,f642]) ).
fof(f642,plain,
( spl0_87
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f292,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f606,plain,
( equalelemsP(sk4)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f294,f262]) ).
fof(f294,plain,
( equalelemsP(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f639,plain,
spl0_86,
inference(avatar_split_clause,[],[f65,f637]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f634,plain,
( spl0_85
| ~ spl0_4
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f630,f627,f260,f632]) ).
fof(f630,plain,
( ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_84 ),
inference(forward_demodulation,[],[f628,f262]) ).
fof(f629,plain,
spl0_84,
inference(avatar_split_clause,[],[f64,f627]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f623,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f199,f264,f255]) ).
fof(f199,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f603,plain,
( ~ spl0_5
| spl0_83
| ~ spl0_8
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f597,f582,f281,f601,f264]) ).
fof(f582,plain,
( spl0_79
<=> ! [X6,X7,X8] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(X6,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f597,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ leq(sk6,sk5(X1,X0,sk6))
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_79 ),
inference(superposition,[],[f583,f283]) ).
fof(f583,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(X6,sk5(X8,X7,X6))
| ~ ssItem(X6) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f596,plain,
spl0_82,
inference(avatar_split_clause,[],[f213,f594]) ).
fof(f213,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X8,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f195,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X8,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f592,plain,
spl0_81,
inference(avatar_split_clause,[],[f212,f590]) ).
fof(f212,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f194,f191]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f588,plain,
spl0_80,
inference(avatar_split_clause,[],[f211,f586]) ).
fof(f211,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| lt(X6,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f196,f191]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| lt(X6,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f584,plain,
spl0_79,
inference(avatar_split_clause,[],[f210,f582]) ).
fof(f210,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(X6,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(X6,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f580,plain,
spl0_78,
inference(avatar_split_clause,[],[f243,f578]) ).
fof(f578,plain,
( spl0_78
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f243,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f576,plain,
spl0_77,
inference(avatar_split_clause,[],[f241,f574]) ).
fof(f574,plain,
( spl0_77
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f241,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f572,plain,
spl0_76,
inference(avatar_split_clause,[],[f71,f570]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f568,plain,
spl0_75,
inference(avatar_split_clause,[],[f63,f566]) ).
fof(f566,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f564,plain,
spl0_74,
inference(avatar_split_clause,[],[f62,f562]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f560,plain,
spl0_73,
inference(avatar_split_clause,[],[f61,f558]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f556,plain,
spl0_72,
inference(avatar_split_clause,[],[f60,f554]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f552,plain,
spl0_71,
inference(avatar_split_clause,[],[f59,f550]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f548,plain,
spl0_70,
inference(avatar_split_clause,[],[f58,f546]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f544,plain,
spl0_69,
inference(avatar_split_clause,[],[f57,f542]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f540,plain,
spl0_68,
inference(avatar_split_clause,[],[f56,f538]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f536,plain,
spl0_67,
inference(avatar_split_clause,[],[f55,f534]) ).
fof(f534,plain,
( spl0_67
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f532,plain,
( ~ spl0_5
| spl0_66
| ~ spl0_8
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f528,f525,f281,f530,f264]) ).
fof(f525,plain,
( spl0_65
<=> ! [X6,X7,X8] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f528,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,X0,sk6))
| ~ ssItem(sk6) )
| ~ spl0_8
| ~ spl0_65 ),
inference(superposition,[],[f526,f283]) ).
fof(f526,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
spl0_65,
inference(avatar_split_clause,[],[f209,f525]) ).
fof(f209,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f523,plain,
spl0_64,
inference(avatar_split_clause,[],[f53,f521]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f519,plain,
spl0_63,
inference(avatar_split_clause,[],[f52,f517]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f515,plain,
spl0_62,
inference(avatar_split_clause,[],[f51,f513]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f511,plain,
spl0_61,
inference(avatar_split_clause,[],[f50,f509]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f507,plain,
spl0_60,
inference(avatar_split_clause,[],[f49,f505]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f503,plain,
spl0_59,
inference(avatar_split_clause,[],[f48,f501]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f498,plain,
( spl0_4
| spl0_58 ),
inference(avatar_split_clause,[],[f202,f496,f260]) ).
fof(f496,plain,
( spl0_58
<=> ! [X6] :
( ~ ssItem(X6)
| sk6 = X6
| ~ memberP(sk4,X6)
| ~ leq(sk6,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f202,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6)
| sk6 = X6
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f494,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f54,f491]) ).
fof(f491,plain,
( spl0_57
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f489,plain,
spl0_56,
inference(avatar_split_clause,[],[f47,f487]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f485,plain,
spl0_55,
inference(avatar_split_clause,[],[f46,f483]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f481,plain,
spl0_54,
inference(avatar_split_clause,[],[f45,f479]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f477,plain,
spl0_53,
inference(avatar_split_clause,[],[f44,f475]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f473,plain,
spl0_52,
inference(avatar_split_clause,[],[f43,f471]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f469,plain,
spl0_51,
inference(avatar_split_clause,[],[f42,f467]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f465,plain,
spl0_50,
inference(avatar_split_clause,[],[f41,f463]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f461,plain,
spl0_49,
inference(avatar_split_clause,[],[f40,f459]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f457,plain,
spl0_48,
inference(avatar_split_clause,[],[f39,f455]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f453,plain,
spl0_47,
inference(avatar_split_clause,[],[f38,f451]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f449,plain,
spl0_46,
inference(avatar_split_clause,[],[f37,f447]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f445,plain,
spl0_45,
inference(avatar_split_clause,[],[f36,f443]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f441,plain,
spl0_44,
inference(avatar_split_clause,[],[f35,f439]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f437,plain,
spl0_43,
inference(avatar_split_clause,[],[f34,f435]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f433,plain,
spl0_42,
inference(avatar_split_clause,[],[f33,f431]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f429,plain,
spl0_41,
inference(avatar_split_clause,[],[f32,f427]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f425,plain,
spl0_40,
inference(avatar_split_clause,[],[f31,f423]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f421,plain,
spl0_39,
inference(avatar_split_clause,[],[f30,f419]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f417,plain,
spl0_38,
inference(avatar_split_clause,[],[f29,f415]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f413,plain,
spl0_37,
inference(avatar_split_clause,[],[f28,f411]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f409,plain,
spl0_36,
inference(avatar_split_clause,[],[f27,f407]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f405,plain,
spl0_35,
inference(avatar_split_clause,[],[f26,f403]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f401,plain,
spl0_34,
inference(avatar_split_clause,[],[f25,f399]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f397,plain,
spl0_33,
inference(avatar_split_clause,[],[f24,f395]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f393,plain,
spl0_32,
inference(avatar_split_clause,[],[f23,f391]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f389,plain,
spl0_31,
inference(avatar_split_clause,[],[f22,f387]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f385,plain,
spl0_30,
inference(avatar_split_clause,[],[f21,f383]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f381,plain,
spl0_29,
inference(avatar_split_clause,[],[f20,f379]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f377,plain,
spl0_28,
inference(avatar_split_clause,[],[f19,f375]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f373,plain,
spl0_27,
inference(avatar_split_clause,[],[f18,f371]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f369,plain,
spl0_26,
inference(avatar_split_clause,[],[f17,f367]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f365,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f363]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f361,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f359]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f357,plain,
spl0_23,
inference(avatar_split_clause,[],[f14,f355]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f353,plain,
spl0_22,
inference(avatar_split_clause,[],[f13,f351]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f349,plain,
spl0_21,
inference(avatar_split_clause,[],[f12,f347]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f345,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f11,f342]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f340,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f337]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f335,plain,
spl0_18,
inference(avatar_split_clause,[],[f9,f332]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f330,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f327]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f325,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f322]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f320,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f317]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f315,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f312]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f310,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f307]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f305,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f302]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f300,plain,
spl0_11,
inference(avatar_split_clause,[],[f2,f297]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f295,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f292]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f290,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f285,f281,f260,f287]) ).
fof(f285,plain,
( sk3 = cons(sk6,sk4)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f283,f262]) ).
fof(f284,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f203,f255,f281]) ).
fof(f203,axiom,
( nil = sk3
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f279,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f204,f255,f269]) ).
fof(f204,axiom,
( nil = sk3
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f278,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f273,f260,f255,f275]) ).
fof(f275,plain,
( spl0_7
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f273,plain,
( sk3 != sk4
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f257,f262]) ).
fof(f257,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f272,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f260,f269]) ).
fof(f201,axiom,
( nil = sk4
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f267,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f198,f264,f260]) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f258,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f208,f255]) ).
fof(f208,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f253,plain,
spl0_2,
inference(avatar_split_clause,[],[f206,f250]) ).
fof(f206,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f248,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f245]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SWC239-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 02:42:22 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1306)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1309)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1307)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1310)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1308)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1311)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)
% 0.13/0.37 % (1309)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)
% 0.13/0.37 % (1312)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)
% 0.13/0.37 % (1313)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)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.20/0.43 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.47 TRYING [4]
% 0.20/0.54 TRYING [3]
% 2.16/0.68 TRYING [5]
% 2.94/0.77 TRYING [4]
% 6.06/1.22 TRYING [6]
% 7.38/1.45 TRYING [5]
% 7.91/1.48 TRYING [1]
% 7.91/1.48 TRYING [2]
% 7.91/1.49 TRYING [3]
% 8.38/1.54 TRYING [4]
% 9.05/1.70 TRYING [5]
% 12.46/2.19 TRYING [6]
% 14.42/2.48 TRYING [7]
% 17.82/2.89 % (1311)First to succeed.
% 17.82/2.92 % (1309)Also succeeded, but the first one will report.
% 17.82/2.94 % (1314)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 17.82/2.96 TRYING [1]
% 17.82/2.96 TRYING [2]
% 17.82/2.96 % (1311)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1306"
% 17.82/2.97 % (1311)Refutation found. Thanks to Tanya!
% 17.82/2.97 % SZS status Unsatisfiable for theBenchmark
% 17.82/2.97 % SZS output start Proof for theBenchmark
% See solution above
% 18.51/3.02 % (1311)------------------------------
% 18.51/3.02 % (1311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.51/3.02 % (1311)Termination reason: Refutation
% 18.51/3.02
% 18.51/3.02 % (1311)Memory used [KB]: 27010
% 18.51/3.02 % (1311)Time elapsed: 2.595 s
% 18.51/3.02 % (1311)Instructions burned: 3828 (million)
% 18.51/3.02 % (1306)Success in time 2.667 s
%------------------------------------------------------------------------------