TSTP Solution File: SWC418+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC418+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 05:15:41 EDT 2024

% Result   : Theorem 8.41s 1.60s
% Output   : Refutation 8.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      : 1657
% Syntax   : Number of formulae    : 5719 ( 243 unt;   0 def)
%            Number of atoms       : 23226 (3516 equ)
%            Maximal formula atoms :   52 (   4 avg)
%            Number of connectives : 30566 (13059   ~;14860   |; 788   &)
%                                         (1569 <=>; 290  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  : 1531 (1529 usr;1493 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;   7 con; 0-2 aty)
%            Number of variables   : 5804 (5462   !; 342   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45164,plain,
    $false,
    inference(avatar_sat_refutation,[],[f650,f655,f660,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f733,f737,f741,f745,f749,f753,f757,f761,f765,f773,f795,f799,f803,f807,f812,f816,f820,f824,f828,f832,f836,f840,f844,f848,f852,f856,f860,f864,f868,f872,f876,f880,f884,f888,f892,f897,f901,f905,f909,f913,f917,f921,f925,f929,f933,f937,f942,f946,f950,f954,f958,f962,f966,f970,f974,f978,f982,f987,f991,f995,f1000,f1033,f1080,f1127,f1159,f1164,f1168,f1172,f1176,f1180,f1184,f1188,f1192,f1196,f1200,f1204,f1209,f1213,f1217,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1254,f1258,f1265,f1270,f1274,f1278,f1282,f1286,f1290,f1294,f1298,f1302,f1308,f1312,f1316,f1320,f1324,f1328,f1332,f1386,f1390,f1394,f1398,f1402,f1406,f1410,f1414,f1420,f1424,f1428,f1432,f1436,f1522,f1532,f1536,f1540,f1546,f1550,f1554,f1558,f1562,f1566,f1570,f1574,f1578,f1584,f1588,f1592,f1596,f1600,f1604,f1608,f1612,f1616,f1620,f1626,f1630,f1779,f1783,f1787,f1791,f1795,f1799,f1883,f1887,f1891,f1895,f1899,f1905,f1982,f1986,f1990,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2176,f2184,f2188,f2192,f2196,f2200,f2204,f2208,f2212,f2216,f2250,f2255,f2259,f2263,f2308,f2312,f2316,f2325,f2329,f2409,f2413,f2417,f2421,f2425,f2429,f2433,f2437,f2441,f2445,f2449,f2453,f2457,f2461,f2495,f2509,f2513,f2517,f2532,f2536,f2540,f2548,f2552,f2556,f2566,f2571,f2576,f2581,f2582,f2607,f2708,f2711,f2712,f2717,f2761,f2766,f2791,f2796,f2801,f2806,f2811,f2816,f2821,f2826,f2831,f2836,f2964,f2965,f2970,f2972,f2975,f2976,f3007,f3012,f3017,f3018,f3020,f3061,f3073,f3092,f3096,f3101,f3105,f3107,f3112,f3115,f3127,f3201,f3203,f3212,f3217,f3223,f3228,f3233,f3238,f3243,f3254,f3262,f3267,f3294,f3334,f3341,f3380,f3385,f3412,f3416,f3426,f3433,f3441,f3447,f3452,f3483,f3487,f3539,f3544,f3549,f3553,f3558,f3630,f3634,f3640,f3648,f3677,f3683,f3737,f3741,f3746,f3750,f3840,f3846,f3849,f3910,f3923,f3927,f3932,f3939,f3944,f3949,f3953,f3957,f3961,f3965,f3969,f3973,f3977,f3981,f3986,f3991,f3995,f3999,f4003,f4007,f4011,f4015,f4019,f4023,f4027,f4032,f4037,f4041,f4045,f4049,f4053,f4057,f4061,f4065,f4069,f4073,f4078,f4083,f4087,f4091,f4095,f4099,f4103,f4107,f4111,f4115,f4119,f4124,f4129,f4133,f4137,f4141,f4145,f4149,f4153,f4157,f4161,f4165,f4170,f4175,f4179,f4183,f4187,f4191,f4195,f4199,f4203,f4207,f4211,f4216,f4221,f4225,f4229,f4233,f4237,f4241,f4245,f4249,f4253,f4257,f4269,f4273,f4277,f4281,f4285,f4289,f4293,f4297,f4301,f4305,f4345,f4349,f4353,f4357,f4361,f4365,f4369,f4373,f4377,f4381,f4382,f4387,f4391,f4395,f4399,f4403,f4407,f4411,f4415,f4419,f4423,f4432,f4436,f4440,f4444,f4448,f4452,f4456,f4460,f4464,f4468,f4472,f4476,f4480,f4484,f4488,f4492,f4496,f4500,f4504,f4508,f4512,f4517,f4521,f4525,f4529,f4533,f4537,f4541,f4545,f4549,f4553,f4562,f4568,f4572,f4576,f4580,f4584,f4588,f4592,f4596,f4600,f4604,f4605,f4609,f4614,f4639,f4709,f4732,f4757,f4807,f4830,f4859,f4929,f4952,f4990,f4996,f5004,f5008,f5012,f5016,f5017,f5088,f5092,f5096,f5100,f5104,f5108,f5112,f5113,f5117,f5121,f5125,f5129,f5133,f5137,f5141,f5145,f5149,f5153,f5159,f5163,f5167,f5171,f5175,f5179,f5183,f5187,f5191,f5195,f5196,f5200,f5204,f5208,f5212,f5216,f5220,f5224,f5262,f5373,f5456,f5460,f5464,f5468,f5472,f5478,f5482,f5486,f5490,f5494,f5498,f5502,f5506,f5510,f5514,f5515,f5519,f5523,f5527,f5531,f5535,f5539,f5543,f5547,f5551,f5555,f5561,f5565,f5569,f5573,f5577,f5581,f5585,f5589,f5593,f5597,f5598,f5602,f5606,f5610,f5614,f5618,f5622,f5626,f5665,f5723,f5818,f5825,f5829,f5833,f5837,f5841,f5845,f5849,f5853,f5857,f5868,f5872,f5876,f5880,f5884,f5888,f5892,f5896,f5900,f5904,f5913,f5919,f5923,f5927,f5931,f5935,f5939,f5943,f5947,f5951,f5955,f5956,f5960,f5964,f5968,f5972,f5976,f5980,f5984,f5988,f5992,f5996,f5997,f6001,f6005,f6009,f6013,f6017,f6021,f6025,f6029,f6033,f6038,f6043,f6047,f6051,f6055,f6059,f6063,f6067,f6071,f6075,f6079,f6084,f6089,f6093,f6097,f6101,f6105,f6109,f6153,f6221,f6457,f6672,f6698,f6724,f6746,f6789,f6796,f6809,f6813,f6820,f6825,f6833,f6840,f6855,f6870,f6875,f6880,f6885,f6896,f6906,f6913,f6929,f6934,f6950,f6981,f7015,f7019,f7023,f7027,f7031,f7036,f7040,f7044,f7048,f7052,f7056,f7060,f7064,f7068,f7072,f7076,f7081,f7085,f7089,f7093,f7097,f7101,f7105,f7109,f7113,f7117,f7121,f7126,f7130,f7134,f7138,f7922,f7926,f7930,f7934,f7938,f7942,f7946,f7950,f7954,f7960,f7964,f7968,f7972,f7976,f7980,f7984,f7988,f7992,f7996,f8002,f8006,f8010,f8014,f8018,f8022,f8026,f8030,f8034,f8038,f8044,f8048,f8052,f8056,f8060,f8064,f8068,f8072,f8076,f8080,f8086,f8090,f8094,f8098,f8102,f8106,f8110,f8114,f8201,f8331,f8415,f8452,f8509,f8513,f8517,f8521,f8525,f8530,f8534,f8807,f8811,f8815,f8828,f8832,f8836,f8840,f8844,f8848,f8852,f8856,f8860,f8864,f8868,f8872,f8876,f8880,f8884,f8888,f8892,f8896,f8900,f8904,f8905,f8909,f8913,f8917,f8921,f8925,f8929,f8933,f8937,f8941,f8945,f8954,f8960,f8964,f8968,f8972,f8976,f8980,f8984,f8988,f8992,f8996,f9001,f9005,f9009,f9013,f9017,f9021,f9025,f9029,f9095,f9965,f10474,f10825,f10829,f10833,f10838,f10842,f10846,f10850,f10854,f10858,f10862,f10866,f10870,f10874,f10878,f10883,f10887,f10891,f10895,f10899,f10903,f10907,f10911,f10915,f10919,f10923,f10940,f10944,f10948,f10952,f10956,f10960,f10964,f10968,f10972,f10976,f10980,f10984,f10988,f10992,f10996,f11000,f11004,f11008,f11012,f11016,f11017,f11021,f11025,f11029,f11033,f11037,f11041,f11045,f11049,f11053,f11057,f11066,f11072,f11076,f11080,f11084,f11088,f11092,f11096,f11245,f11533,f11720,f11767,f11801,f11805,f11809,f11814,f11818,f11822,f11826,f11894,f11899,f11903,f11907,f11911,f11915,f11919,f11923,f11927,f11931,f11935,f11939,f11962,f11966,f11970,f11974,f11978,f11982,f11986,f11990,f11994,f11998,f12002,f12006,f12010,f12014,f12018,f12022,f12026,f12030,f12034,f12038,f12039,f12043,f12047,f12051,f12055,f12059,f12063,f12067,f12071,f12075,f12079,f12088,f12094,f12389,f12688,f13753,f13757,f13761,f13765,f13769,f13773,f13777,f13781,f13782,f13786,f13790,f13794,f13798,f13802,f13806,f13810,f13814,f13818,f13822,f13831,f13837,f13841,f13845,f13849,f13853,f13857,f13861,f13865,f13869,f13873,f13878,f13882,f13886,f13890,f13894,f13898,f13902,f13906,f13910,f13914,f13918,f13923,f13927,f13931,f13935,f13939,f13943,f13947,f13951,f13955,f13959,f13963,f13988,f13992,f13996,f14000,f14004,f14008,f14012,f14016,f14020,f14024,f14289,f14613,f15028,f15443,f15858,f16190,f16194,f16210,f16219,f16223,f16227,f16231,f16235,f16239,f16255,f16259,f16263,f16267,f16271,f16275,f16279,f16283,f16287,f16291,f16308,f16312,f16316,f16320,f16324,f16503,f16673,f16677,f16681,f16685,f16690,f16694,f16698,f16702,f16706,f16710,f16714,f16718,f16722,f16726,f16730,f16735,f16739,f16743,f16747,f16751,f16956,f17256,f17348,f17352,f17356,f17360,f17364,f17368,f17372,f17376,f17381,f17653,f17657,f17662,f17666,f17735,f17739,f17743,f17747,f17751,f17755,f17760,f17764,f17768,f17772,f17776,f17780,f17784,f17788,f17792,f17796,f17800,f17805,f17809,f17813,f17817,f17898,f18008,f18031,f18035,f18039,f18043,f18047,f18051,f18055,f18059,f18084,f18088,f18092,f18096,f18100,f18293,f18297,f18344,f18432,f18436,f18440,f18506,f18510,f18561,f18573,f18577,f18620,f18651,f18696,f18741,f18745,f18844,f18848,f18852,f19125,f19130,f19135,f19140,f19194,f19198,f19203,f19207,f19230,f19235,f19239,f19243,f19247,f19251,f19255,f19259,f19263,f19264,f19268,f19272,f19276,f19280,f19285,f19295,f19301,f19302,f19376,f19381,f19386,f19391,f19396,f19401,f19406,f19438,f19491,f19696,f19707,f19717,f19721,f19725,f19729,f19733,f19737,f19741,f19745,f19750,f19754,f19758,f19762,f19766,f19770,f19774,f19783,f19789,f19790,f20025,f20046,f20093,f20145,f20154,f20160,f20165,f20170,f20174,f20178,f20182,f20186,f20190,f20195,f20199,f20203,f20207,f20211,f20215,f20219,f20223,f20227,f20231,f20235,f20240,f20244,f20248,f20252,f20256,f20260,f20264,f20268,f20272,f20276,f20280,f20285,f20289,f20293,f20297,f20302,f20307,f20325,f20330,f20334,f20338,f20343,f20348,f20353,f20357,f20361,f20365,f20369,f20373,f20377,f20381,f20385,f20390,f20394,f20398,f20402,f20406,f20410,f20414,f20418,f20422,f20426,f20430,f20436,f20440,f20445,f20450,f20454,f20458,f20462,f20466,f20470,f20474,f20480,f20484,f20488,f20492,f20496,f20500,f20504,f20508,f20512,f20516,f20522,f20526,f20530,f20534,f20538,f20542,f20546,f20550,f20555,f20560,f20566,f20991,f21205,f22294,f22299,f22304,f22309,f22314,f22319,f22324,f22366,f22371,f22376,f22381,f22386,f22391,f22396,f22415,f22420,f22547,f22576,f22658,f22663,f22694,f22750,f22757,f22812,f22817,f22853,f22860,f22908,f22914,f22931,f22936,f22942,f22946,f23099,f23104,f23114,f23121,f23126,f23129,f23229,f23233,f23327,f23333,f23434,f23441,f23448,f23453,f23459,f23491,f23601,f23637,f23644,f23650,f23656,f23662,f23668,f23673,f23712,f23718,f23724,f23732,f23738,f23744,f23752,f23758,f23764,f23771,f23807,f23812,f23853,f23858,f23900,f23908,f23925,f23934,f23938,f23956,f23962,f23971,f23978,f23984,f24056,f24061,f24069,f24077,f24105,f24111,f24154,f24160,f24205,f24210,f24216,f24261,f24267,f24273,f24279,f24285,f24291,f24428,f24433,f24452,f24458,f24464,f24470,f24476,f24482,f24488,f24493,f24499,f24501,f24594,f24614,f24618,f24625,f24639,f24660,f24724,f24796,f24802,f25012,f25069,f25385,f25406,f25407,f25424,f25698,f25703,f25707,f25711,f25771,f25777,f25788,f25792,f25797,f25857,f25861,f25955,f25959,f25963,f26093,f26100,f26229,f26233,f26237,f26370,f26381,f26458,f26462,f26573,f26728,f26821,f26904,f28157,f28158,f28167,f28169,f31525,f31545,f31547,f31553,f31653,f32698,f32748,f32751,f32754,f32757,f32762,f32767,f32768,f32769,f32774,f32779,f32783,f32911,f32916,f32921,f32926,f32931,f32935,f32936,f35493,f36252,f36257,f36262,f36267,f36272,f36276,f36280,f36284,f36289,f36512,f36517,f36522,f36527,f36532,f36537,f36543,f36548,f36552,f36556,f36560,f36564,f36568,f36572,f36575,f36598,f36604,f36610,f36617,f36621,f36625,f36659,f36661,f40109,f41161,f41240,f42652,f43187,f43216,f43357,f43362,f43384,f43385,f43398,f43411,f43416,f43421,f43426,f43431,f43433,f43441,f43455,f43460,f43514,f43519,f43520,f43524,f43528,f43532,f43702,f43754,f43807,f43811,f43815,f43819,f43823,f43827,f43831,f43834,f44149,f44153,f44214,f44219,f44352,f44384,f44388,f44392,f44396,f44397,f44648,f44711,f44715,f44832,f44837,f44934,f44940,f44943,f44947,f44951,f45162,f45163]) ).

fof(f45163,plain,
    ( ~ spl69_1
    | ~ spl69_76
    | ~ spl69_1414 ),
    inference(avatar_split_clause,[],[f35486,f32908,f989,f647]) ).

fof(f647,plain,
    ( spl69_1
  <=> ssList(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).

fof(f989,plain,
    ( spl69_76
  <=> ! [X1] :
        ( ~ neq(X1,X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_76])]) ).

fof(f32908,plain,
    ( spl69_1414
  <=> neq(sK20,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1414])]) ).

fof(f35486,plain,
    ( ~ ssList(sK20)
    | ~ spl69_76
    | ~ spl69_1414 ),
    inference(resolution,[],[f32910,f990]) ).

fof(f990,plain,
    ( ! [X1] :
        ( ~ neq(X1,X1)
        | ~ ssList(X1) )
    | ~ spl69_76 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f32910,plain,
    ( neq(sK20,sK20)
    | ~ spl69_1414 ),
    inference(avatar_component_clause,[],[f32908]) ).

fof(f45162,plain,
    ( ~ spl69_1
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1352
    | ~ spl69_1428 ),
    inference(avatar_split_clause,[],[f45133,f36286,f24075,f2563,f662,f647]) ).

fof(f662,plain,
    ( spl69_4
  <=> sK20 = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).

fof(f2563,plain,
    ( spl69_244
  <=> sK20 = app(sK20,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_244])]) ).

fof(f24075,plain,
    ( spl69_1352
  <=> ! [X0] :
        ( sK21 != app(app(X0,nil),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1352])]) ).

fof(f36286,plain,
    ( spl69_1428
  <=> sK20 = app(sK20,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1428])]) ).

fof(f45133,plain,
    ( ~ ssList(sK20)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1352
    | ~ spl69_1428 ),
    inference(trivial_inequality_removal,[],[f45132]) ).

fof(f45132,plain,
    ( sK20 != sK20
    | ~ ssList(sK20)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1352
    | ~ spl69_1428 ),
    inference(forward_demodulation,[],[f32903,f36288]) ).

fof(f36288,plain,
    ( sK20 = app(sK20,sK20)
    | ~ spl69_1428 ),
    inference(avatar_component_clause,[],[f36286]) ).

fof(f32903,plain,
    ( sK20 != app(sK20,sK20)
    | ~ ssList(sK20)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1352 ),
    inference(trivial_inequality_removal,[],[f32902]) ).

fof(f32902,plain,
    ( sK20 != sK20
    | sK20 != app(sK20,sK20)
    | ~ ssList(sK20)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1352 ),
    inference(forward_demodulation,[],[f24096,f664]) ).

fof(f664,plain,
    ( sK20 = sK21
    | ~ spl69_4 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f24096,plain,
    ( sK20 != sK21
    | sK20 != app(sK20,sK20)
    | ~ ssList(sK20)
    | ~ spl69_244
    | ~ spl69_1352 ),
    inference(forward_demodulation,[],[f24082,f2565]) ).

fof(f2565,plain,
    ( sK20 = app(sK20,nil)
    | ~ spl69_244 ),
    inference(avatar_component_clause,[],[f2563]) ).

fof(f24082,plain,
    ( sK21 != app(sK20,nil)
    | sK20 != app(sK20,sK20)
    | ~ ssList(sK20)
    | ~ spl69_244
    | ~ spl69_1352 ),
    inference(superposition,[],[f24076,f2565]) ).

fof(f24076,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,nil),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1352 ),
    inference(avatar_component_clause,[],[f24075]) ).

fof(f44951,plain,
    ( ~ spl69_1
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_252
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(avatar_split_clause,[],[f35613,f26368,f22939,f19383,f2763,f2563,f662,f647]) ).

fof(f2763,plain,
    ( spl69_252
  <=> nil = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_252])]) ).

fof(f19383,plain,
    ( spl69_1141
  <=> sK20 = app(cons(sK24(sK20),nil),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1141])]) ).

fof(f22939,plain,
    ( spl69_1299
  <=> cons(sK24(sK21),nil) = app(nil,cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1299])]) ).

fof(f26368,plain,
    ( spl69_1405
  <=> ! [X0] :
        ( sK21 != app(app(X0,cons(sK24(sK21),nil)),sK25(sK21))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1405])]) ).

fof(f35613,plain,
    ( ~ ssList(sK20)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_252
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f35612,f2764]) ).

fof(f2764,plain,
    ( nil = sK20
    | ~ spl69_252 ),
    inference(avatar_component_clause,[],[f2763]) ).

fof(f35612,plain,
    ( ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(trivial_inequality_removal,[],[f35611]) ).

fof(f35611,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_244
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f35610,f2565]) ).

fof(f35610,plain,
    ( sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(trivial_inequality_removal,[],[f35609]) ).

fof(f35609,plain,
    ( sK20 != sK20
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_1141
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f35608,f19385]) ).

fof(f19385,plain,
    ( sK20 = app(cons(sK24(sK20),nil),sK25(sK20))
    | ~ spl69_1141 ),
    inference(avatar_component_clause,[],[f19383]) ).

fof(f35608,plain,
    ( sK20 != app(cons(sK24(sK20),nil),sK25(sK20))
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f26373,f664]) ).

fof(f26373,plain,
    ( sK21 != app(cons(sK24(sK21),nil),sK25(sK21))
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_1299
    | ~ spl69_1405 ),
    inference(superposition,[],[f26369,f22941]) ).

fof(f22941,plain,
    ( cons(sK24(sK21),nil) = app(nil,cons(sK24(sK21),nil))
    | ~ spl69_1299 ),
    inference(avatar_component_clause,[],[f22939]) ).

fof(f26369,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(sK24(sK21),nil)),sK25(sK21))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1405 ),
    inference(avatar_component_clause,[],[f26368]) ).

fof(f44947,plain,
    ( spl69_485
    | ~ spl69_4
    | ~ spl69_487 ),
    inference(avatar_split_clause,[],[f32765,f4926,f662,f4856]) ).

fof(f4856,plain,
    ( spl69_485
  <=> sP14(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_485])]) ).

fof(f4926,plain,
    ( spl69_487
  <=> sP14(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_487])]) ).

fof(f32765,plain,
    ( sP14(sK20)
    | ~ spl69_4
    | ~ spl69_487 ),
    inference(forward_demodulation,[],[f4927,f664]) ).

fof(f4927,plain,
    ( sP14(sK21)
    | ~ spl69_487 ),
    inference(avatar_component_clause,[],[f4926]) ).

fof(f44943,plain,
    ( spl69_571
    | ~ spl69_4
    | ~ spl69_593 ),
    inference(avatar_split_clause,[],[f32760,f5910,f662,f5720]) ).

fof(f5720,plain,
    ( spl69_571
  <=> sP16(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_571])]) ).

fof(f5910,plain,
    ( spl69_593
  <=> sP16(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_593])]) ).

fof(f32760,plain,
    ( sP16(sK20)
    | ~ spl69_4
    | ~ spl69_593 ),
    inference(forward_demodulation,[],[f5911,f664]) ).

fof(f5911,plain,
    ( sP16(sK21)
    | ~ spl69_593 ),
    inference(avatar_component_clause,[],[f5910]) ).

fof(f44940,plain,
    ( spl69_1492
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_82 ),
    inference(avatar_split_clause,[],[f2684,f1157,f666,f662,f44938]) ).

fof(f44938,plain,
    ( spl69_1492
  <=> ! [X2,X0,X1] :
        ( sK20 != app(app(X2,cons(X1,sK20)),X0)
        | sK20 != app(app(X0,cons(X1,sK20)),X2)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1492])]) ).

fof(f666,plain,
    ( spl69_5
  <=> nil = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).

fof(f1157,plain,
    ( spl69_82
  <=> ! [X9,X8,X10] :
        ( app(app(X10,cons(X8,nil)),X9) != sK20
        | app(app(X9,cons(X8,nil)),X10) != sK21
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssItem(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_82])]) ).

fof(f2684,plain,
    ( ! [X2,X0,X1] :
        ( sK20 != app(app(X2,cons(X1,sK20)),X0)
        | sK20 != app(app(X0,cons(X1,sK20)),X2)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_82 ),
    inference(forward_demodulation,[],[f2683,f664]) ).

fof(f2683,plain,
    ( ! [X2,X0,X1] :
        ( sK20 != app(app(X0,cons(X1,sK20)),X2)
        | sK21 != app(app(X2,cons(X1,sK21)),X0)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_82 ),
    inference(forward_demodulation,[],[f2652,f664]) ).

fof(f2652,plain,
    ( ! [X2,X0,X1] :
        ( sK20 != app(app(X0,cons(X1,sK21)),X2)
        | sK21 != app(app(X2,cons(X1,sK21)),X0)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl69_5
    | ~ spl69_82 ),
    inference(superposition,[],[f1158,f667]) ).

fof(f667,plain,
    ( nil = sK21
    | ~ spl69_5 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1158,plain,
    ( ! [X10,X8,X9] :
        ( app(app(X10,cons(X8,nil)),X9) != sK20
        | app(app(X9,cons(X8,nil)),X10) != sK21
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssItem(X8) )
    | ~ spl69_82 ),
    inference(avatar_component_clause,[],[f1157]) ).

fof(f44934,plain,
    ( spl69_1491
    | ~ spl69_5
    | ~ spl69_82 ),
    inference(avatar_split_clause,[],[f2652,f1157,f666,f44932]) ).

fof(f44932,plain,
    ( spl69_1491
  <=> ! [X2,X0,X1] :
        ( sK20 != app(app(X0,cons(X1,sK21)),X2)
        | sK21 != app(app(X2,cons(X1,sK21)),X0)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1491])]) ).

fof(f44837,plain,
    ( ~ spl69_252
    | ~ spl69_254
    | ~ spl69_525
    | ~ spl69_526
    | spl69_1490 ),
    inference(avatar_contradiction_clause,[],[f44836]) ).

fof(f44836,plain,
    ( $false
    | ~ spl69_252
    | ~ spl69_254
    | ~ spl69_525
    | ~ spl69_526
    | spl69_1490 ),
    inference(trivial_inequality_removal,[],[f44835]) ).

fof(f44835,plain,
    ( cons(hd(sK20),sK20) != cons(hd(sK20),sK20)
    | ~ spl69_252
    | ~ spl69_254
    | ~ spl69_525
    | ~ spl69_526
    | spl69_1490 ),
    inference(forward_demodulation,[],[f44834,f32058]) ).

fof(f32058,plain,
    ( hd(sK20) = hd(cons(hd(sK20),sK20))
    | ~ spl69_252
    | ~ spl69_254
    | ~ spl69_526 ),
    inference(forward_demodulation,[],[f5431,f2764]) ).

fof(f5431,plain,
    ( hd(sK20) = hd(cons(hd(sK20),nil))
    | ~ spl69_254
    | ~ spl69_526 ),
    inference(resolution,[],[f5219,f2794]) ).

fof(f2794,plain,
    ( ssItem(hd(sK20))
    | ~ spl69_254 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f2793,plain,
    ( spl69_254
  <=> ssItem(hd(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_254])]) ).

fof(f5219,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,nil)) = X0 )
    | ~ spl69_526 ),
    inference(avatar_component_clause,[],[f5218]) ).

fof(f5218,plain,
    ( spl69_526
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,nil)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_526])]) ).

fof(f44834,plain,
    ( cons(hd(sK20),sK20) != cons(hd(cons(hd(sK20),sK20)),sK20)
    | ~ spl69_252
    | ~ spl69_254
    | ~ spl69_525
    | spl69_1490 ),
    inference(forward_demodulation,[],[f44830,f32056]) ).

fof(f32056,plain,
    ( sK20 = tl(cons(hd(sK20),sK20))
    | ~ spl69_252
    | ~ spl69_254
    | ~ spl69_525 ),
    inference(forward_demodulation,[],[f5408,f2764]) ).

fof(f5408,plain,
    ( nil = tl(cons(hd(sK20),nil))
    | ~ spl69_254
    | ~ spl69_525 ),
    inference(resolution,[],[f5215,f2794]) ).

fof(f5215,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | nil = tl(cons(X0,nil)) )
    | ~ spl69_525 ),
    inference(avatar_component_clause,[],[f5214]) ).

fof(f5214,plain,
    ( spl69_525
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | nil = tl(cons(X0,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_525])]) ).

fof(f44830,plain,
    ( cons(hd(sK20),sK20) != cons(hd(cons(hd(sK20),sK20)),tl(cons(hd(sK20),sK20)))
    | spl69_1490 ),
    inference(avatar_component_clause,[],[f44829]) ).

fof(f44829,plain,
    ( spl69_1490
  <=> cons(hd(sK20),sK20) = cons(hd(cons(hd(sK20),sK20)),tl(cons(hd(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1490])]) ).

fof(f44832,plain,
    ( spl69_1453
    | spl69_1490
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_176
    | ~ spl69_252 ),
    inference(avatar_split_clause,[],[f41639,f2763,f1893,f1511,f662,f44829,f43354]) ).

fof(f43354,plain,
    ( spl69_1453
  <=> sK20 = cons(hd(sK20),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1453])]) ).

fof(f1511,plain,
    ( spl69_140
  <=> ssList(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_140])]) ).

fof(f1893,plain,
    ( spl69_176
  <=> ! [X0] :
        ( cons(hd(X0),tl(X0)) = X0
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_176])]) ).

fof(f41639,plain,
    ( cons(hd(sK20),sK20) = cons(hd(cons(hd(sK20),sK20)),tl(cons(hd(sK20),sK20)))
    | sK20 = cons(hd(sK20),sK20)
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_176
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f41638,f664]) ).

fof(f41638,plain,
    ( cons(hd(sK21),sK20) = cons(hd(cons(hd(sK21),sK20)),tl(cons(hd(sK21),sK20)))
    | sK20 = cons(hd(sK20),sK20)
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_176
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f39098,f2764]) ).

fof(f39098,plain,
    ( sK20 = cons(hd(sK20),sK20)
    | cons(hd(sK21),nil) = cons(hd(cons(hd(sK21),nil)),tl(cons(hd(sK21),nil)))
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_176
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f39097,f664]) ).

fof(f39097,plain,
    ( sK20 = cons(hd(sK21),sK20)
    | cons(hd(sK21),nil) = cons(hd(cons(hd(sK21),nil)),tl(cons(hd(sK21),nil)))
    | ~ spl69_140
    | ~ spl69_176
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21499,f2764]) ).

fof(f21499,plain,
    ( nil = cons(hd(sK21),nil)
    | cons(hd(sK21),nil) = cons(hd(cons(hd(sK21),nil)),tl(cons(hd(sK21),nil)))
    | ~ spl69_140
    | ~ spl69_176 ),
    inference(resolution,[],[f1512,f1894]) ).

fof(f1894,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | cons(hd(X0),tl(X0)) = X0 )
    | ~ spl69_176 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f1512,plain,
    ( ssList(cons(hd(sK21),nil))
    | ~ spl69_140 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f44715,plain,
    ( spl69_1489
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1332 ),
    inference(avatar_split_clause,[],[f40049,f23756,f2763,f662,f44713]) ).

fof(f44713,plain,
    ( spl69_1489
  <=> ! [X0,X1] :
        ( cons(X0,app(cons(hd(sK20),sK20),X1)) = app(cons(X0,cons(hd(sK20),sK20)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1489])]) ).

fof(f23756,plain,
    ( spl69_1332
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(cons(hd(sK21),nil),X1)) = app(cons(X0,cons(hd(sK21),nil)),X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1332])]) ).

fof(f40049,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(cons(hd(sK20),sK20),X1)) = app(cons(X0,cons(hd(sK20),sK20)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1332 ),
    inference(forward_demodulation,[],[f40048,f664]) ).

fof(f40048,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(cons(hd(sK21),sK20),X1)) = app(cons(X0,cons(hd(sK21),sK20)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_252
    | ~ spl69_1332 ),
    inference(forward_demodulation,[],[f23757,f2764]) ).

fof(f23757,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(cons(hd(sK21),nil),X1)) = app(cons(X0,cons(hd(sK21),nil)),X1)
        | ~ ssList(X1) )
    | ~ spl69_1332 ),
    inference(avatar_component_clause,[],[f23756]) ).

fof(f44711,plain,
    ( spl69_1488
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1333 ),
    inference(avatar_split_clause,[],[f40046,f23762,f2763,f662,f44709]) ).

fof(f44709,plain,
    ( spl69_1488
  <=> ! [X0,X1] :
        ( app(X0,app(X1,cons(hd(sK20),sK20))) = app(app(X0,X1),cons(hd(sK20),sK20))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1488])]) ).

fof(f23762,plain,
    ( spl69_1333
  <=> ! [X0,X1] :
        ( app(app(X0,X1),cons(hd(sK21),nil)) = app(X0,app(X1,cons(hd(sK21),nil)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1333])]) ).

fof(f40046,plain,
    ( ! [X0,X1] :
        ( app(X0,app(X1,cons(hd(sK20),sK20))) = app(app(X0,X1),cons(hd(sK20),sK20))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1333 ),
    inference(forward_demodulation,[],[f40045,f664]) ).

fof(f40045,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),cons(hd(sK21),sK20)) = app(X0,app(X1,cons(hd(sK21),sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1333 ),
    inference(forward_demodulation,[],[f23763,f2764]) ).

fof(f23763,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),cons(hd(sK21),nil)) = app(X0,app(X1,cons(hd(sK21),nil)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1333 ),
    inference(avatar_component_clause,[],[f23762]) ).

fof(f44648,plain,
    ( spl69_1487
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1331 ),
    inference(avatar_split_clause,[],[f40053,f23750,f2763,f662,f44646]) ).

fof(f44646,plain,
    ( spl69_1487
  <=> ! [X0] :
        ( tl(app(X0,cons(hd(sK20),sK20))) = app(tl(X0),cons(hd(sK20),sK20))
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1487])]) ).

fof(f23750,plain,
    ( spl69_1331
  <=> ! [X0] :
        ( nil = X0
        | tl(app(X0,cons(hd(sK21),nil))) = app(tl(X0),cons(hd(sK21),nil))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1331])]) ).

fof(f40053,plain,
    ( ! [X0] :
        ( tl(app(X0,cons(hd(sK20),sK20))) = app(tl(X0),cons(hd(sK20),sK20))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1331 ),
    inference(forward_demodulation,[],[f40052,f664]) ).

fof(f40052,plain,
    ( ! [X0] :
        ( tl(app(X0,cons(hd(sK21),sK20))) = app(tl(X0),cons(hd(sK21),sK20))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1331 ),
    inference(forward_demodulation,[],[f40051,f2764]) ).

fof(f40051,plain,
    ( ! [X0] :
        ( sK20 = X0
        | tl(app(X0,cons(hd(sK21),nil))) = app(tl(X0),cons(hd(sK21),nil))
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1331 ),
    inference(forward_demodulation,[],[f23751,f2764]) ).

fof(f23751,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,cons(hd(sK21),nil))) = app(tl(X0),cons(hd(sK21),nil))
        | ~ ssList(X0) )
    | ~ spl69_1331 ),
    inference(avatar_component_clause,[],[f23750]) ).

fof(f44397,plain,
    ( spl69_432
    | ~ spl69_4
    | ~ spl69_464 ),
    inference(avatar_split_clause,[],[f32755,f4559,f662,f4429]) ).

fof(f4429,plain,
    ( spl69_432
  <=> sP8(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_432])]) ).

fof(f4559,plain,
    ( spl69_464
  <=> sP8(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_464])]) ).

fof(f32755,plain,
    ( sP8(sK20)
    | ~ spl69_4
    | ~ spl69_464 ),
    inference(forward_demodulation,[],[f4560,f664]) ).

fof(f4560,plain,
    ( sP8(sK21)
    | ~ spl69_464 ),
    inference(avatar_component_clause,[],[f4559]) ).

fof(f44396,plain,
    ( spl69_1486
    | ~ spl69_4
    | ~ spl69_1358 ),
    inference(avatar_split_clause,[],[f41412,f24208,f662,f44394]) ).

fof(f44394,plain,
    ( spl69_1486
  <=> ! [X0,X1] :
        ( ~ leq(hd(sK20),X0)
        | ~ leq(X0,hd(sK20))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1486])]) ).

fof(f24208,plain,
    ( spl69_1358
  <=> ! [X0,X1] :
        ( ~ sP12(app(sK20,cons(X0,X1)))
        | ~ leq(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ leq(hd(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1358])]) ).

fof(f41412,plain,
    ( ! [X0,X1] :
        ( ~ leq(hd(sK20),X0)
        | ~ leq(X0,hd(sK20))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_1358 ),
    inference(forward_demodulation,[],[f40018,f664]) ).

fof(f40018,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,hd(sK20))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ leq(hd(sK21),X0) )
    | ~ spl69_4
    | ~ spl69_1358 ),
    inference(forward_demodulation,[],[f24209,f664]) ).

fof(f24209,plain,
    ( ! [X0,X1] :
        ( ~ sP12(app(sK20,cons(X0,X1)))
        | ~ leq(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ leq(hd(sK21),X0) )
    | ~ spl69_1358 ),
    inference(avatar_component_clause,[],[f24208]) ).

fof(f44392,plain,
    ( spl69_1485
    | ~ spl69_4
    | ~ spl69_1355 ),
    inference(avatar_split_clause,[],[f41411,f24152,f662,f44390]) ).

fof(f44390,plain,
    ( spl69_1485
  <=> ! [X0,X1] :
        ( lt(hd(sK20),X0)
        | lt(X0,hd(sK20))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1485])]) ).

fof(f24152,plain,
    ( spl69_1355
  <=> ! [X0,X1] :
        ( ~ sP10(app(sK20,cons(X0,X1)))
        | lt(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | lt(hd(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1355])]) ).

fof(f41411,plain,
    ( ! [X0,X1] :
        ( lt(hd(sK20),X0)
        | lt(X0,hd(sK20))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_1355 ),
    inference(forward_demodulation,[],[f40022,f664]) ).

fof(f40022,plain,
    ( ! [X0,X1] :
        ( lt(X0,hd(sK20))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | lt(hd(sK21),X0) )
    | ~ spl69_4
    | ~ spl69_1355 ),
    inference(forward_demodulation,[],[f24153,f664]) ).

fof(f24153,plain,
    ( ! [X0,X1] :
        ( ~ sP10(app(sK20,cons(X0,X1)))
        | lt(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | lt(hd(sK21),X0) )
    | ~ spl69_1355 ),
    inference(avatar_component_clause,[],[f24152]) ).

fof(f44388,plain,
    ( spl69_1484
    | ~ spl69_4
    | ~ spl69_1353 ),
    inference(avatar_split_clause,[],[f41410,f24103,f662,f44386]) ).

fof(f44386,plain,
    ( spl69_1484
  <=> ! [X0,X1] :
        ( leq(hd(sK20),X0)
        | leq(X0,hd(sK20))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1484])]) ).

fof(f24103,plain,
    ( spl69_1353
  <=> ! [X0,X1] :
        ( ~ sP8(app(sK20,cons(X0,X1)))
        | leq(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(hd(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1353])]) ).

fof(f41410,plain,
    ( ! [X0,X1] :
        ( leq(hd(sK20),X0)
        | leq(X0,hd(sK20))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_1353 ),
    inference(forward_demodulation,[],[f40026,f664]) ).

fof(f40026,plain,
    ( ! [X0,X1] :
        ( leq(X0,hd(sK20))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(hd(sK21),X0) )
    | ~ spl69_4
    | ~ spl69_1353 ),
    inference(forward_demodulation,[],[f24104,f664]) ).

fof(f24104,plain,
    ( ! [X0,X1] :
        ( ~ sP8(app(sK20,cons(X0,X1)))
        | leq(X0,hd(sK21))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(hd(sK21),X0) )
    | ~ spl69_1353 ),
    inference(avatar_component_clause,[],[f24103]) ).

fof(f44384,plain,
    ( spl69_1483
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(avatar_split_clause,[],[f35619,f24067,f22573,f2763,f662,f44382]) ).

fof(f44382,plain,
    ( spl69_1483
  <=> ! [X0] :
        ( sK20 != app(app(X0,cons(hd(sK20),sK20)),sK25(sK20))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1483])]) ).

fof(f22573,plain,
    ( spl69_1284
  <=> tl(sK21) = sK25(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1284])]) ).

fof(f24067,plain,
    ( spl69_1351
  <=> ! [X0] :
        ( sK20 != app(sK20,X0)
        | ~ ssList(X0)
        | sK21 != app(app(X0,cons(hd(sK21),nil)),tl(sK21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1351])]) ).

fof(f35619,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,cons(hd(sK20),sK20)),sK25(sK20))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f35618,f2764]) ).

fof(f35618,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,cons(hd(sK20),nil)),sK25(sK20))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24070,f664]) ).

fof(f24070,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(hd(sK21),nil)),sK25(sK21))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24068,f22575]) ).

fof(f22575,plain,
    ( tl(sK21) = sK25(sK21)
    | ~ spl69_1284 ),
    inference(avatar_component_clause,[],[f22573]) ).

fof(f24068,plain,
    ( ! [X0] :
        ( sK20 != app(sK20,X0)
        | ~ ssList(X0)
        | sK21 != app(app(X0,cons(hd(sK21),nil)),tl(sK21)) )
    | ~ spl69_1351 ),
    inference(avatar_component_clause,[],[f24067]) ).

fof(f44352,plain,
    ( spl69_1482
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1322 ),
    inference(avatar_split_clause,[],[f40064,f23660,f2763,f662,f44350]) ).

fof(f44350,plain,
    ( spl69_1482
  <=> ! [X0] :
        ( app(cons(X0,sK20),cons(hd(sK20),sK20)) = cons(X0,cons(hd(sK20),sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1482])]) ).

fof(f23660,plain,
    ( spl69_1322
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,cons(hd(sK21),nil)) = app(cons(X0,nil),cons(hd(sK21),nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1322])]) ).

fof(f40064,plain,
    ( ! [X0] :
        ( app(cons(X0,sK20),cons(hd(sK20),sK20)) = cons(X0,cons(hd(sK20),sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1322 ),
    inference(forward_demodulation,[],[f40063,f664]) ).

fof(f40063,plain,
    ( ! [X0] :
        ( cons(X0,cons(hd(sK21),sK20)) = app(cons(X0,sK20),cons(hd(sK21),sK20))
        | ~ ssItem(X0) )
    | ~ spl69_252
    | ~ spl69_1322 ),
    inference(forward_demodulation,[],[f23661,f2764]) ).

fof(f23661,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,cons(hd(sK21),nil)) = app(cons(X0,nil),cons(hd(sK21),nil)) )
    | ~ spl69_1322 ),
    inference(avatar_component_clause,[],[f23660]) ).

fof(f44219,plain,
    ( spl69_1481
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1334 ),
    inference(avatar_split_clause,[],[f40016,f23768,f2763,f662,f44216]) ).

fof(f44216,plain,
    ( spl69_1481
  <=> cons(hd(sK20),sK20) = cons(sK23(cons(hd(sK20),sK20)),sK22(cons(hd(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1481])]) ).

fof(f23768,plain,
    ( spl69_1334
  <=> cons(hd(sK21),nil) = cons(sK23(cons(hd(sK21),nil)),sK22(cons(hd(sK21),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1334])]) ).

fof(f40016,plain,
    ( cons(hd(sK20),sK20) = cons(sK23(cons(hd(sK20),sK20)),sK22(cons(hd(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1334 ),
    inference(forward_demodulation,[],[f40015,f664]) ).

fof(f40015,plain,
    ( cons(hd(sK21),sK20) = cons(sK23(cons(hd(sK21),sK20)),sK22(cons(hd(sK21),sK20)))
    | ~ spl69_252
    | ~ spl69_1334 ),
    inference(forward_demodulation,[],[f23770,f2764]) ).

fof(f23770,plain,
    ( cons(hd(sK21),nil) = cons(sK23(cons(hd(sK21),nil)),sK22(cons(hd(sK21),nil)))
    | ~ spl69_1334 ),
    inference(avatar_component_clause,[],[f23768]) ).

fof(f44214,plain,
    ( spl69_1480
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f35457,f22573,f2763,f2248,f1507,f662,f44212]) ).

fof(f44212,plain,
    ( spl69_1480
  <=> ! [X0] :
        ( app(tl(X0),sK25(sK20)) = tl(app(X0,sK25(sK20)))
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1480])]) ).

fof(f1507,plain,
    ( spl69_139
  <=> ssList(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_139])]) ).

fof(f2248,plain,
    ( spl69_209
  <=> ! [X0,X1] :
        ( tl(app(X0,X1)) = app(tl(X0),X1)
        | nil = X0
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_209])]) ).

fof(f35457,plain,
    ( ! [X0] :
        ( app(tl(X0),sK25(sK20)) = tl(app(X0,sK25(sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f35456,f664]) ).

fof(f35456,plain,
    ( ! [X0] :
        ( tl(app(X0,sK25(sK21))) = app(tl(X0),sK25(sK21))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f35455,f22575]) ).

fof(f35455,plain,
    ( ! [X0] :
        ( sK20 = X0
        | tl(app(X0,tl(sK21))) = app(tl(X0),tl(sK21))
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_209
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f2600,f2764]) ).

fof(f2600,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,tl(sK21))) = app(tl(X0),tl(sK21))
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_209 ),
    inference(resolution,[],[f1508,f2249]) ).

fof(f2249,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | nil = X0
        | tl(app(X0,X1)) = app(tl(X0),X1)
        | ~ ssList(X0) )
    | ~ spl69_209 ),
    inference(avatar_component_clause,[],[f2248]) ).

fof(f1508,plain,
    ( ssList(tl(sK21))
    | ~ spl69_139 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f44153,plain,
    ( spl69_1479
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1317 ),
    inference(avatar_split_clause,[],[f40071,f23599,f2763,f662,f44151]) ).

fof(f44151,plain,
    ( spl69_1479
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,cons(hd(sK20),sK20)))
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1479])]) ).

fof(f23599,plain,
    ( spl69_1317
  <=> ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,cons(hd(sK21),nil)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1317])]) ).

fof(f40071,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,cons(hd(sK20),sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1317 ),
    inference(forward_demodulation,[],[f40070,f664]) ).

fof(f40070,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,cons(hd(sK21),sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1317 ),
    inference(forward_demodulation,[],[f40069,f2764]) ).

fof(f40069,plain,
    ( ! [X0] :
        ( sK20 = X0
        | hd(X0) = hd(app(X0,cons(hd(sK21),nil)))
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1317 ),
    inference(forward_demodulation,[],[f23600,f2764]) ).

fof(f23600,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,cons(hd(sK21),nil)))
        | ~ ssList(X0) )
    | ~ spl69_1317 ),
    inference(avatar_component_clause,[],[f23599]) ).

fof(f44149,plain,
    ( spl69_1478
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1347 ),
    inference(avatar_split_clause,[],[f40031,f23976,f2763,f662,f44147]) ).

fof(f44147,plain,
    ( spl69_1478
  <=> ! [X0,X1] :
        ( ~ segmentP(cons(hd(sK20),sK20),X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1478])]) ).

fof(f23976,plain,
    ( spl69_1347
  <=> ! [X0,X1] :
        ( segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(cons(hd(sK21),nil),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1347])]) ).

fof(f40031,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(hd(sK20),sK20),X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1347 ),
    inference(forward_demodulation,[],[f40030,f664]) ).

fof(f40030,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(hd(sK21),sK20),X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1347 ),
    inference(forward_demodulation,[],[f23977,f2764]) ).

fof(f23977,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(cons(hd(sK21),nil),X1) )
    | ~ spl69_1347 ),
    inference(avatar_component_clause,[],[f23976]) ).

fof(f43834,plain,
    ( spl69_478
    | ~ spl69_4
    | ~ spl69_480 ),
    inference(avatar_split_clause,[],[f32752,f4706,f662,f4636]) ).

fof(f4636,plain,
    ( spl69_478
  <=> sP10(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_478])]) ).

fof(f4706,plain,
    ( spl69_480
  <=> sP10(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_480])]) ).

fof(f32752,plain,
    ( sP10(sK20)
    | ~ spl69_4
    | ~ spl69_480 ),
    inference(forward_demodulation,[],[f4707,f664]) ).

fof(f4707,plain,
    ( sP10(sK21)
    | ~ spl69_480 ),
    inference(avatar_component_clause,[],[f4706]) ).

fof(f43831,plain,
    ( spl69_1477
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f42290,f22573,f3070,f2763,f2248,f1503,f1499,f662,f43829]) ).

fof(f43829,plain,
    ( spl69_1477
  <=> ! [X0] :
        ( tl(app(X0,sK20)) = app(tl(X0),sK20)
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1477])]) ).

fof(f1499,plain,
    ( spl69_137
  <=> ssList(app(tl(sK21),cons(hd(sK21),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_137])]) ).

fof(f1503,plain,
    ( spl69_138
  <=> sK20 = app(tl(sK21),cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_138])]) ).

fof(f3070,plain,
    ( spl69_269
  <=> tl(sK20) = sK25(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_269])]) ).

fof(f42290,plain,
    ( ! [X0] :
        ( tl(app(X0,sK20)) = app(tl(X0),sK20)
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f42289,f39035]) ).

fof(f39035,plain,
    ( sK20 = app(sK25(sK20),cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f28745,f664]) ).

fof(f28745,plain,
    ( sK20 = app(sK25(sK21),cons(hd(sK21),sK20))
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f22578,f2764]) ).

fof(f22578,plain,
    ( sK20 = app(sK25(sK21),cons(hd(sK21),nil))
    | ~ spl69_138
    | ~ spl69_1284 ),
    inference(superposition,[],[f1505,f22575]) ).

fof(f1505,plain,
    ( sK20 = app(tl(sK21),cons(hd(sK21),nil))
    | ~ spl69_138 ),
    inference(avatar_component_clause,[],[f1503]) ).

fof(f42289,plain,
    ( ! [X0] :
        ( tl(app(X0,app(sK25(sK20),cons(hd(sK20),sK20)))) = app(tl(X0),app(sK25(sK20),cons(hd(sK20),sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_209
    | ~ spl69_252
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f37917,f3072]) ).

fof(f3072,plain,
    ( tl(sK20) = sK25(sK20)
    | ~ spl69_269 ),
    inference(avatar_component_clause,[],[f3070]) ).

fof(f37917,plain,
    ( ! [X0] :
        ( tl(app(X0,app(tl(sK20),cons(hd(sK20),sK20)))) = app(tl(X0),app(tl(sK20),cons(hd(sK20),sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_209
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f31196,f664]) ).

fof(f31196,plain,
    ( ! [X0] :
        ( tl(app(X0,app(tl(sK21),cons(hd(sK21),sK20)))) = app(tl(X0),app(tl(sK21),cons(hd(sK21),sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_209
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f31195,f2764]) ).

fof(f31195,plain,
    ( ! [X0] :
        ( sK20 = X0
        | tl(app(X0,app(tl(sK21),cons(hd(sK21),nil)))) = app(tl(X0),app(tl(sK21),cons(hd(sK21),nil)))
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_209
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21754,f2764]) ).

fof(f21754,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,app(tl(sK21),cons(hd(sK21),nil)))) = app(tl(X0),app(tl(sK21),cons(hd(sK21),nil)))
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_209 ),
    inference(resolution,[],[f1500,f2249]) ).

fof(f1500,plain,
    ( ssList(app(tl(sK21),cons(hd(sK21),nil)))
    | ~ spl69_137 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f43827,plain,
    ( spl69_1476
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1339 ),
    inference(avatar_split_clause,[],[f41409,f23898,f22573,f2763,f662,f43825]) ).

fof(f43825,plain,
    ( spl69_1476
  <=> ! [X0] :
        ( sK25(sK20) = X0
        | sK20 != app(X0,cons(hd(sK20),sK20))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1476])]) ).

fof(f23898,plain,
    ( spl69_1339
  <=> ! [X0] :
        ( sK20 != app(X0,cons(hd(sK21),nil))
        | ~ ssList(X0)
        | tl(sK21) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1339])]) ).

fof(f41409,plain,
    ( ! [X0] :
        ( sK25(sK20) = X0
        | sK20 != app(X0,cons(hd(sK20),sK20))
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f41408,f664]) ).

fof(f41408,plain,
    ( ! [X0] :
        ( sK25(sK21) = X0
        | sK20 != app(X0,cons(hd(sK20),sK20))
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f40037,f22575]) ).

fof(f40037,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(hd(sK20),sK20))
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f40036,f664]) ).

fof(f40036,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(hd(sK21),sK20))
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_252
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23899,f2764]) ).

fof(f23899,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(hd(sK21),nil))
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_1339 ),
    inference(avatar_component_clause,[],[f23898]) ).

fof(f43823,plain,
    ( spl69_1475
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1311 ),
    inference(avatar_split_clause,[],[f40076,f23432,f2763,f662,f43821]) ).

fof(f43821,plain,
    ( spl69_1475
  <=> ! [X0] :
        ( cons(hd(sK20),sK20) = tl(cons(X0,cons(hd(sK20),sK20)))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1475])]) ).

fof(f23432,plain,
    ( spl69_1311
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(hd(sK21),nil) = tl(cons(X0,cons(hd(sK21),nil))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1311])]) ).

fof(f40076,plain,
    ( ! [X0] :
        ( cons(hd(sK20),sK20) = tl(cons(X0,cons(hd(sK20),sK20)))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1311 ),
    inference(forward_demodulation,[],[f40075,f664]) ).

fof(f40075,plain,
    ( ! [X0] :
        ( cons(hd(sK21),sK20) = tl(cons(X0,cons(hd(sK21),sK20)))
        | ~ ssItem(X0) )
    | ~ spl69_252
    | ~ spl69_1311 ),
    inference(forward_demodulation,[],[f23433,f2764]) ).

fof(f23433,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(hd(sK21),nil) = tl(cons(X0,cons(hd(sK21),nil))) )
    | ~ spl69_1311 ),
    inference(avatar_component_clause,[],[f23432]) ).

fof(f43819,plain,
    ( spl69_1474
    | ~ spl69_4
    | ~ spl69_1335 ),
    inference(avatar_split_clause,[],[f40043,f23805,f662,f43817]) ).

fof(f43817,plain,
    ( spl69_1474
  <=> ! [X0,X1] :
        ( leq(hd(sK20),X0)
        | ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1474])]) ).

fof(f23805,plain,
    ( spl69_1335
  <=> ! [X0,X1] :
        ( ~ sP14(app(sK20,cons(X0,X1)))
        | leq(hd(sK21),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1335])]) ).

fof(f40043,plain,
    ( ! [X0,X1] :
        ( leq(hd(sK20),X0)
        | ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_1335 ),
    inference(forward_demodulation,[],[f23806,f664]) ).

fof(f23806,plain,
    ( ! [X0,X1] :
        ( ~ sP14(app(sK20,cons(X0,X1)))
        | leq(hd(sK21),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1335 ),
    inference(avatar_component_clause,[],[f23805]) ).

fof(f43815,plain,
    ( spl69_1473
    | ~ spl69_4
    | ~ spl69_1337 ),
    inference(avatar_split_clause,[],[f40041,f23851,f662,f43813]) ).

fof(f43813,plain,
    ( spl69_1473
  <=> ! [X0,X1] :
        ( lt(hd(sK20),X0)
        | ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1473])]) ).

fof(f23851,plain,
    ( spl69_1337
  <=> ! [X0,X1] :
        ( ~ sP16(app(sK20,cons(X0,X1)))
        | lt(hd(sK21),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1337])]) ).

fof(f40041,plain,
    ( ! [X0,X1] :
        ( lt(hd(sK20),X0)
        | ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_1337 ),
    inference(forward_demodulation,[],[f23852,f664]) ).

fof(f23852,plain,
    ( ! [X0,X1] :
        ( ~ sP16(app(sK20,cons(X0,X1)))
        | lt(hd(sK21),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1337 ),
    inference(avatar_component_clause,[],[f23851]) ).

fof(f43811,plain,
    ( spl69_1472
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1344 ),
    inference(avatar_split_clause,[],[f40034,f23954,f2763,f662,f43809]) ).

fof(f43809,plain,
    ( spl69_1472
  <=> ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK20),sK20))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1472])]) ).

fof(f23954,plain,
    ( spl69_1344
  <=> ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK21),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1344])]) ).

fof(f40034,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK20),sK20))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1344 ),
    inference(forward_demodulation,[],[f40033,f664]) ).

fof(f40033,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK21),sK20))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1344 ),
    inference(forward_demodulation,[],[f23955,f2764]) ).

fof(f23955,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK21),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_1344 ),
    inference(avatar_component_clause,[],[f23954]) ).

fof(f43807,plain,
    ( spl69_1471
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(avatar_split_clause,[],[f40004,f23923,f22573,f2763,f662,f43805]) ).

fof(f43805,plain,
    ( spl69_1471
  <=> ! [X0] :
        ( cons(hd(sK20),sK20) = X0
        | sK20 != app(sK25(sK20),X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1471])]) ).

fof(f23923,plain,
    ( spl69_1341
  <=> ! [X0] :
        ( sK20 != app(tl(sK21),X0)
        | ~ ssList(X0)
        | cons(hd(sK21),nil) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1341])]) ).

fof(f40004,plain,
    ( ! [X0] :
        ( cons(hd(sK20),sK20) = X0
        | sK20 != app(sK25(sK20),X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f40003,f664]) ).

fof(f40003,plain,
    ( ! [X0] :
        ( cons(hd(sK21),sK20) = X0
        | sK20 != app(sK25(sK20),X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f40002,f2764]) ).

fof(f40002,plain,
    ( ! [X0] :
        ( sK20 != app(sK25(sK20),X0)
        | ~ ssList(X0)
        | cons(hd(sK21),nil) = X0 )
    | ~ spl69_4
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23926,f664]) ).

fof(f23926,plain,
    ( ! [X0] :
        ( sK20 != app(sK25(sK21),X0)
        | ~ ssList(X0)
        | cons(hd(sK21),nil) = X0 )
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23924,f22575]) ).

fof(f23924,plain,
    ( ! [X0] :
        ( sK20 != app(tl(sK21),X0)
        | ~ ssList(X0)
        | cons(hd(sK21),nil) = X0 )
    | ~ spl69_1341 ),
    inference(avatar_component_clause,[],[f23923]) ).

fof(f43754,plain,
    ( spl69_1470
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f35460,f22573,f2763,f2099,f1507,f662,f43752]) ).

fof(f43752,plain,
    ( spl69_1470
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK20)))
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1470])]) ).

fof(f2099,plain,
    ( spl69_193
  <=> ! [X0,X1] :
        ( hd(X0) = hd(app(X0,X1))
        | nil = X0
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_193])]) ).

fof(f35460,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK20)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f35459,f664]) ).

fof(f35459,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK21)))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f35458,f22575]) ).

fof(f35458,plain,
    ( ! [X0] :
        ( sK20 = X0
        | hd(X0) = hd(app(X0,tl(sK21)))
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_193
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f2599,f2764]) ).

fof(f2599,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,tl(sK21)))
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_193 ),
    inference(resolution,[],[f1508,f2100]) ).

fof(f2100,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | nil = X0
        | hd(X0) = hd(app(X0,X1))
        | ~ ssList(X0) )
    | ~ spl69_193 ),
    inference(avatar_component_clause,[],[f2099]) ).

fof(f43702,plain,
    ( spl69_1469
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f42292,f22573,f3070,f2763,f2099,f1503,f1499,f662,f43700]) ).

fof(f43700,plain,
    ( spl69_1469
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,sK20))
        | sK20 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1469])]) ).

fof(f42292,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,sK20))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f42291,f39035]) ).

fof(f42291,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,app(sK25(sK20),cons(hd(sK20),sK20))))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_193
    | ~ spl69_252
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f37913,f3072]) ).

fof(f37913,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,app(tl(sK20),cons(hd(sK20),sK20))))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_193
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f31201,f664]) ).

fof(f31201,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,app(tl(sK21),cons(hd(sK21),sK20))))
        | sK20 = X0
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_193
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f31200,f2764]) ).

fof(f31200,plain,
    ( ! [X0] :
        ( sK20 = X0
        | hd(X0) = hd(app(X0,app(tl(sK21),cons(hd(sK21),nil))))
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_193
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21753,f2764]) ).

fof(f21753,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,app(tl(sK21),cons(hd(sK21),nil))))
        | ~ ssList(X0) )
    | ~ spl69_137
    | ~ spl69_193 ),
    inference(resolution,[],[f1500,f2100]) ).

fof(f43532,plain,
    ( spl69_1468
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1298 ),
    inference(avatar_split_clause,[],[f40082,f22934,f2763,f662,f43530]) ).

fof(f43530,plain,
    ( spl69_1468
  <=> ! [X0] :
        ( hd(cons(X0,cons(hd(sK20),sK20))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1468])]) ).

fof(f22934,plain,
    ( spl69_1298
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(hd(sK21),nil))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1298])]) ).

fof(f40082,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(hd(sK20),sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1298 ),
    inference(forward_demodulation,[],[f40081,f664]) ).

fof(f40081,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(hd(sK21),sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_252
    | ~ spl69_1298 ),
    inference(forward_demodulation,[],[f22935,f2764]) ).

fof(f22935,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(hd(sK21),nil))) = X0 )
    | ~ spl69_1298 ),
    inference(avatar_component_clause,[],[f22934]) ).

fof(f43528,plain,
    ( spl69_1467
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1328 ),
    inference(avatar_split_clause,[],[f40059,f23730,f2763,f662,f43526]) ).

fof(f43526,plain,
    ( spl69_1467
  <=> ! [X0] :
        ( ~ memberP(cons(hd(sK20),sK20),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1467])]) ).

fof(f23730,plain,
    ( spl69_1328
  <=> ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(hd(sK21),nil),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1328])]) ).

fof(f40059,plain,
    ( ! [X0] :
        ( ~ memberP(cons(hd(sK20),sK20),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1328 ),
    inference(forward_demodulation,[],[f40058,f664]) ).

fof(f40058,plain,
    ( ! [X0] :
        ( ~ memberP(cons(hd(sK21),sK20),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_252
    | ~ spl69_1328 ),
    inference(forward_demodulation,[],[f23731,f2764]) ).

fof(f23731,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(hd(sK21),nil),X0) )
    | ~ spl69_1328 ),
    inference(avatar_component_clause,[],[f23730]) ).

fof(f43524,plain,
    ( spl69_1466
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1329 ),
    inference(avatar_split_clause,[],[f40056,f23736,f2763,f662,f43522]) ).

fof(f43522,plain,
    ( spl69_1466
  <=> ! [X0] :
        ( ~ rearsegP(cons(hd(sK20),sK20),X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1466])]) ).

fof(f23736,plain,
    ( spl69_1329
  <=> ! [X0] :
        ( rearsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ rearsegP(cons(hd(sK21),nil),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1329])]) ).

fof(f40056,plain,
    ( ! [X0] :
        ( ~ rearsegP(cons(hd(sK20),sK20),X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1329 ),
    inference(forward_demodulation,[],[f40055,f664]) ).

fof(f40055,plain,
    ( ! [X0] :
        ( ~ rearsegP(cons(hd(sK21),sK20),X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_252
    | ~ spl69_1329 ),
    inference(forward_demodulation,[],[f23737,f2764]) ).

fof(f23737,plain,
    ( ! [X0] :
        ( rearsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ rearsegP(cons(hd(sK21),nil),X0) )
    | ~ spl69_1329 ),
    inference(avatar_component_clause,[],[f23736]) ).

fof(f43520,plain,
    ( spl69_481
    | ~ spl69_4
    | ~ spl69_483 ),
    inference(avatar_split_clause,[],[f32749,f4804,f662,f4754]) ).

fof(f4754,plain,
    ( spl69_481
  <=> sP12(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_481])]) ).

fof(f4804,plain,
    ( spl69_483
  <=> sP12(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_483])]) ).

fof(f32749,plain,
    ( sP12(sK20)
    | ~ spl69_4
    | ~ spl69_483 ),
    inference(forward_demodulation,[],[f4805,f664]) ).

fof(f4805,plain,
    ( sP12(sK21)
    | ~ spl69_483 ),
    inference(avatar_component_clause,[],[f4804]) ).

fof(f43519,plain,
    ( spl69_1465
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1297 ),
    inference(avatar_split_clause,[],[f39999,f22928,f2763,f662,f43516]) ).

fof(f43516,plain,
    ( spl69_1465
  <=> cons(hd(sK20),sK20) = app(sK20,cons(hd(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1465])]) ).

fof(f22928,plain,
    ( spl69_1297
  <=> cons(hd(sK21),nil) = app(nil,cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1297])]) ).

fof(f39999,plain,
    ( cons(hd(sK20),sK20) = app(sK20,cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1297 ),
    inference(forward_demodulation,[],[f39998,f664]) ).

fof(f39998,plain,
    ( cons(hd(sK21),sK20) = app(sK20,cons(hd(sK21),sK20))
    | ~ spl69_252
    | ~ spl69_1297 ),
    inference(forward_demodulation,[],[f22930,f2764]) ).

fof(f22930,plain,
    ( cons(hd(sK21),nil) = app(nil,cons(hd(sK21),nil))
    | ~ spl69_1297 ),
    inference(avatar_component_clause,[],[f22928]) ).

fof(f43514,plain,
    ( spl69_1464
    | ~ spl69_4
    | ~ spl69_111
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(avatar_split_clause,[],[f39066,f2763,f1511,f1280,f662,f43511]) ).

fof(f43511,plain,
    ( spl69_1464
  <=> cons(hd(sK20),sK20) = app(cons(hd(sK20),sK20),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1464])]) ).

fof(f1280,plain,
    ( spl69_111
  <=> ! [X0] :
        ( app(X0,nil) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_111])]) ).

fof(f39066,plain,
    ( cons(hd(sK20),sK20) = app(cons(hd(sK20),sK20),sK20)
    | ~ spl69_4
    | ~ spl69_111
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f39065,f664]) ).

fof(f39065,plain,
    ( cons(hd(sK21),sK20) = app(cons(hd(sK21),sK20),sK20)
    | ~ spl69_111
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21492,f2764]) ).

fof(f21492,plain,
    ( cons(hd(sK21),nil) = app(cons(hd(sK21),nil),nil)
    | ~ spl69_111
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f1281]) ).

fof(f1281,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(X0,nil) = X0 )
    | ~ spl69_111 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f43460,plain,
    ( spl69_1463
    | ~ spl69_4
    | ~ spl69_1323 ),
    inference(avatar_split_clause,[],[f40061,f23666,f662,f43458]) ).

fof(f43458,plain,
    ( spl69_1463
  <=> ! [X0] :
        ( ~ sP6(app(sK20,cons(hd(sK20),X0)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1463])]) ).

fof(f23666,plain,
    ( spl69_1323
  <=> ! [X0] :
        ( ~ sP6(app(sK20,cons(hd(sK21),X0)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1323])]) ).

fof(f40061,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(hd(sK20),X0)))
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_1323 ),
    inference(forward_demodulation,[],[f23667,f664]) ).

fof(f23667,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(hd(sK21),X0)))
        | ~ ssList(X0) )
    | ~ spl69_1323 ),
    inference(avatar_component_clause,[],[f23666]) ).

fof(f43455,plain,
    ( ~ spl69_305
    | ~ spl69_1462
    | ~ spl69_136
    | spl69_1412 ),
    inference(avatar_split_clause,[],[f43432,f31650,f1434,f43452,f3555]) ).

fof(f3555,plain,
    ( spl69_305
  <=> ssList(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_305])]) ).

fof(f43452,plain,
    ( spl69_1462
  <=> ssList(cons(sK24(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1462])]) ).

fof(f1434,plain,
    ( spl69_136
  <=> ! [X0,X1] :
        ( ssList(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_136])]) ).

fof(f31650,plain,
    ( spl69_1412
  <=> ssList(app(sK25(sK20),cons(sK24(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1412])]) ).

fof(f43432,plain,
    ( ~ ssList(cons(sK24(sK20),sK20))
    | ~ ssList(sK25(sK20))
    | ~ spl69_136
    | spl69_1412 ),
    inference(resolution,[],[f31651,f1435]) ).

fof(f1435,plain,
    ( ! [X0,X1] :
        ( ssList(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_136 ),
    inference(avatar_component_clause,[],[f1434]) ).

fof(f31651,plain,
    ( ~ ssList(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | spl69_1412 ),
    inference(avatar_component_clause,[],[f31650]) ).

fof(f43441,plain,
    ( spl69_1412
    | ~ spl69_252
    | ~ spl69_276 ),
    inference(avatar_split_clause,[],[f32019,f3198,f2763,f31650]) ).

fof(f3198,plain,
    ( spl69_276
  <=> ssList(app(sK25(sK20),cons(sK24(sK20),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_276])]) ).

fof(f32019,plain,
    ( ssList(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_252
    | ~ spl69_276 ),
    inference(forward_demodulation,[],[f3199,f2764]) ).

fof(f3199,plain,
    ( ssList(app(sK25(sK20),cons(sK24(sK20),nil)))
    | ~ spl69_276 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f43433,plain,
    ( spl69_1412
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1410 ),
    inference(avatar_split_clause,[],[f37270,f28164,f2763,f662,f31650]) ).

fof(f28164,plain,
    ( spl69_1410
  <=> ssList(app(sK25(sK21),cons(sK24(sK21),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1410])]) ).

fof(f37270,plain,
    ( ssList(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1410 ),
    inference(forward_demodulation,[],[f32781,f664]) ).

fof(f32781,plain,
    ( ssList(app(sK25(sK21),cons(sK24(sK21),sK20)))
    | ~ spl69_252
    | ~ spl69_1410 ),
    inference(forward_demodulation,[],[f28165,f2764]) ).

fof(f28165,plain,
    ( ssList(app(sK25(sK21),cons(sK24(sK21),nil)))
    | ~ spl69_1410 ),
    inference(avatar_component_clause,[],[f28164]) ).

fof(f43431,plain,
    ( spl69_1461
    | ~ spl69_23
    | ~ spl69_1412 ),
    inference(avatar_split_clause,[],[f40625,f31650,f751,f43428]) ).

fof(f43428,plain,
    ( spl69_1461
  <=> sP11(app(sK25(sK20),cons(sK24(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1461])]) ).

fof(f751,plain,
    ( spl69_23
  <=> ! [X0] :
        ( sP11(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).

fof(f40625,plain,
    ( sP11(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_23
    | ~ spl69_1412 ),
    inference(resolution,[],[f31652,f752]) ).

fof(f752,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP11(X0) )
    | ~ spl69_23 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f31652,plain,
    ( ssList(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_1412 ),
    inference(avatar_component_clause,[],[f31650]) ).

fof(f43426,plain,
    ( spl69_1460
    | ~ spl69_22
    | ~ spl69_1412 ),
    inference(avatar_split_clause,[],[f40624,f31650,f747,f43423]) ).

fof(f43423,plain,
    ( spl69_1460
  <=> sP9(app(sK25(sK20),cons(sK24(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1460])]) ).

fof(f747,plain,
    ( spl69_22
  <=> ! [X0] :
        ( sP9(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).

fof(f40624,plain,
    ( sP9(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_22
    | ~ spl69_1412 ),
    inference(resolution,[],[f31652,f748]) ).

fof(f748,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP9(X0) )
    | ~ spl69_22 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f43421,plain,
    ( spl69_1459
    | ~ spl69_21
    | ~ spl69_1412 ),
    inference(avatar_split_clause,[],[f40623,f31650,f743,f43418]) ).

fof(f43418,plain,
    ( spl69_1459
  <=> sP7(app(sK25(sK20),cons(sK24(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1459])]) ).

fof(f743,plain,
    ( spl69_21
  <=> ! [X0] :
        ( sP7(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).

fof(f40623,plain,
    ( sP7(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_21
    | ~ spl69_1412 ),
    inference(resolution,[],[f31652,f744]) ).

fof(f744,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP7(X0) )
    | ~ spl69_21 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f43416,plain,
    ( spl69_1458
    | ~ spl69_20
    | ~ spl69_1412 ),
    inference(avatar_split_clause,[],[f40622,f31650,f739,f43413]) ).

fof(f43413,plain,
    ( spl69_1458
  <=> sP5(app(sK25(sK20),cons(sK24(sK20),sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1458])]) ).

fof(f739,plain,
    ( spl69_20
  <=> ! [X0] :
        ( sP5(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).

fof(f40622,plain,
    ( sP5(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_20
    | ~ spl69_1412 ),
    inference(resolution,[],[f31652,f740]) ).

fof(f740,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP5(X0) )
    | ~ spl69_20 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f43411,plain,
    ( spl69_1457
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1312 ),
    inference(avatar_split_clause,[],[f40013,f23438,f2763,f662,f43408]) ).

fof(f43408,plain,
    ( spl69_1457
  <=> hd(sK20) = sK24(cons(hd(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1457])]) ).

fof(f23438,plain,
    ( spl69_1312
  <=> hd(sK21) = sK24(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1312])]) ).

fof(f40013,plain,
    ( hd(sK20) = sK24(cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1312 ),
    inference(forward_demodulation,[],[f40012,f664]) ).

fof(f40012,plain,
    ( hd(sK21) = sK24(cons(hd(sK21),sK20))
    | ~ spl69_252
    | ~ spl69_1312 ),
    inference(forward_demodulation,[],[f23440,f2764]) ).

fof(f23440,plain,
    ( hd(sK21) = sK24(cons(hd(sK21),nil))
    | ~ spl69_1312 ),
    inference(avatar_component_clause,[],[f23438]) ).

fof(f43398,plain,
    ( spl69_1456
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1304 ),
    inference(avatar_split_clause,[],[f40010,f23111,f2763,f662,f43395]) ).

fof(f43395,plain,
    ( spl69_1456
  <=> sK20 = sK25(cons(hd(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1456])]) ).

fof(f23111,plain,
    ( spl69_1304
  <=> nil = sK25(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1304])]) ).

fof(f40010,plain,
    ( sK20 = sK25(cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1304 ),
    inference(forward_demodulation,[],[f40009,f664]) ).

fof(f40009,plain,
    ( sK20 = sK25(cons(hd(sK21),sK20))
    | ~ spl69_252
    | ~ spl69_1304 ),
    inference(forward_demodulation,[],[f23113,f2764]) ).

fof(f23113,plain,
    ( nil = sK25(cons(hd(sK21),nil))
    | ~ spl69_1304 ),
    inference(avatar_component_clause,[],[f23111]) ).

fof(f43385,plain,
    ( ~ spl69_1455
    | ~ spl69_4
    | ~ spl69_1284
    | spl69_1288 ),
    inference(avatar_split_clause,[],[f35627,f22747,f22573,f662,f43381]) ).

fof(f43381,plain,
    ( spl69_1455
  <=> sK20 = cons(hd(sK20),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1455])]) ).

fof(f22747,plain,
    ( spl69_1288
  <=> sK21 = cons(hd(sK21),tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1288])]) ).

fof(f35627,plain,
    ( sK20 != cons(hd(sK20),sK25(sK20))
    | ~ spl69_4
    | ~ spl69_1284
    | spl69_1288 ),
    inference(forward_demodulation,[],[f35626,f664]) ).

fof(f35626,plain,
    ( sK21 != cons(hd(sK21),sK25(sK21))
    | ~ spl69_1284
    | spl69_1288 ),
    inference(forward_demodulation,[],[f22748,f22575]) ).

fof(f22748,plain,
    ( sK21 != cons(hd(sK21),tl(sK21))
    | spl69_1288 ),
    inference(avatar_component_clause,[],[f22747]) ).

fof(f43384,plain,
    ( spl69_1455
    | ~ spl69_269
    | ~ spl69_287 ),
    inference(avatar_split_clause,[],[f3335,f3331,f3070,f43381]) ).

fof(f3331,plain,
    ( spl69_287
  <=> sK20 = cons(hd(sK20),tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_287])]) ).

fof(f3335,plain,
    ( sK20 = cons(hd(sK20),sK25(sK20))
    | ~ spl69_269
    | ~ spl69_287 ),
    inference(forward_demodulation,[],[f3333,f3072]) ).

fof(f3333,plain,
    ( sK20 = cons(hd(sK20),tl(sK20))
    | ~ spl69_287 ),
    inference(avatar_component_clause,[],[f3331]) ).

fof(f43362,plain,
    ( spl69_1454
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1319 ),
    inference(avatar_split_clause,[],[f40067,f23641,f2763,f662,f43359]) ).

fof(f43359,plain,
    ( spl69_1454
  <=> rearsegP(sK20,cons(hd(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1454])]) ).

fof(f23641,plain,
    ( spl69_1319
  <=> rearsegP(sK20,cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1319])]) ).

fof(f40067,plain,
    ( rearsegP(sK20,cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1319 ),
    inference(forward_demodulation,[],[f40066,f664]) ).

fof(f40066,plain,
    ( rearsegP(sK20,cons(hd(sK21),sK20))
    | ~ spl69_252
    | ~ spl69_1319 ),
    inference(forward_demodulation,[],[f23643,f2764]) ).

fof(f23643,plain,
    ( rearsegP(sK20,cons(hd(sK21),nil))
    | ~ spl69_1319 ),
    inference(avatar_component_clause,[],[f23641]) ).

fof(f43357,plain,
    ( ~ spl69_1453
    | ~ spl69_4
    | ~ spl69_252
    | spl69_1303 ),
    inference(avatar_split_clause,[],[f40007,f23107,f2763,f662,f43354]) ).

fof(f23107,plain,
    ( spl69_1303
  <=> nil = cons(hd(sK21),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1303])]) ).

fof(f40007,plain,
    ( sK20 != cons(hd(sK20),sK20)
    | ~ spl69_4
    | ~ spl69_252
    | spl69_1303 ),
    inference(forward_demodulation,[],[f40006,f664]) ).

fof(f40006,plain,
    ( sK20 != cons(hd(sK21),sK20)
    | ~ spl69_252
    | spl69_1303 ),
    inference(forward_demodulation,[],[f23108,f2764]) ).

fof(f23108,plain,
    ( nil != cons(hd(sK21),nil)
    | spl69_1303 ),
    inference(avatar_component_clause,[],[f23107]) ).

fof(f43216,plain,
    ( spl69_1428
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f42304,f22573,f3070,f2763,f1503,f1499,f1284,f662,f36286]) ).

fof(f1284,plain,
    ( spl69_112
  <=> ! [X0] :
        ( app(nil,X0) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_112])]) ).

fof(f42304,plain,
    ( sK20 = app(sK20,sK20)
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f42303,f39035]) ).

fof(f42303,plain,
    ( app(sK25(sK20),cons(hd(sK20),sK20)) = app(sK20,app(sK25(sK20),cons(hd(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_137
    | ~ spl69_252
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f37885,f3072]) ).

fof(f37885,plain,
    ( app(tl(sK20),cons(hd(sK20),sK20)) = app(sK20,app(tl(sK20),cons(hd(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_137
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f31229,f664]) ).

fof(f31229,plain,
    ( app(tl(sK21),cons(hd(sK21),sK20)) = app(sK20,app(tl(sK21),cons(hd(sK21),sK20)))
    | ~ spl69_112
    | ~ spl69_137
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21745,f2764]) ).

fof(f21745,plain,
    ( app(tl(sK21),cons(hd(sK21),nil)) = app(nil,app(tl(sK21),cons(hd(sK21),nil)))
    | ~ spl69_112
    | ~ spl69_137 ),
    inference(resolution,[],[f1500,f1285]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(nil,X0) = X0 )
    | ~ spl69_112 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f43187,plain,
    ( spl69_1452
    | ~ spl69_4
    | ~ spl69_1314 ),
    inference(avatar_split_clause,[],[f40073,f23450,f662,f43184]) ).

fof(f43184,plain,
    ( spl69_1452
  <=> memberP(sK20,hd(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1452])]) ).

fof(f23450,plain,
    ( spl69_1314
  <=> memberP(sK20,hd(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1314])]) ).

fof(f40073,plain,
    ( memberP(sK20,hd(sK20))
    | ~ spl69_4
    | ~ spl69_1314 ),
    inference(forward_demodulation,[],[f23452,f664]) ).

fof(f23452,plain,
    ( memberP(sK20,hd(sK21))
    | ~ spl69_1314 ),
    inference(avatar_component_clause,[],[f23450]) ).

fof(f42652,plain,
    ( spl69_1451
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(avatar_split_clause,[],[f39063,f2763,f1511,f662,f42649]) ).

fof(f42649,plain,
    ( spl69_1451
  <=> ssList(cons(hd(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1451])]) ).

fof(f39063,plain,
    ( ssList(cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f39062,f664]) ).

fof(f39062,plain,
    ( ssList(cons(hd(sK21),sK20))
    | ~ spl69_140
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f1512,f2764]) ).

fof(f41240,plain,
    ( spl69_1450
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_164
    | ~ spl69_252
    | ~ spl69_1167
    | ~ spl69_1428 ),
    inference(avatar_split_clause,[],[f39090,f36286,f19786,f2763,f1618,f1511,f662,f41238]) ).

fof(f41238,plain,
    ( spl69_1450
  <=> ! [X0] :
        ( hd(cons(X0,cons(sK24(sK20),sK20))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1450])]) ).

fof(f1618,plain,
    ( spl69_164
  <=> ! [X0,X1] :
        ( hd(cons(X1,X0)) = X1
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_164])]) ).

fof(f19786,plain,
    ( spl69_1167
  <=> sK24(sK20) = hd(app(sK20,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1167])]) ).

fof(f39090,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(sK24(sK20),sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_164
    | ~ spl69_252
    | ~ spl69_1167
    | ~ spl69_1428 ),
    inference(forward_demodulation,[],[f39089,f36429]) ).

fof(f36429,plain,
    ( hd(sK20) = sK24(sK20)
    | ~ spl69_1167
    | ~ spl69_1428 ),
    inference(superposition,[],[f19788,f36288]) ).

fof(f19788,plain,
    ( sK24(sK20) = hd(app(sK20,sK20))
    | ~ spl69_1167 ),
    inference(avatar_component_clause,[],[f19786]) ).

fof(f39089,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(hd(sK20),sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_140
    | ~ spl69_164
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f39088,f664]) ).

fof(f39088,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(hd(sK21),sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_140
    | ~ spl69_164
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f21497,f2764]) ).

fof(f21497,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(hd(sK21),nil))) = X0 )
    | ~ spl69_140
    | ~ spl69_164 ),
    inference(resolution,[],[f1512,f1619]) ).

fof(f1619,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | hd(cons(X1,X0)) = X1 )
    | ~ spl69_164 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f41161,plain,
    ( spl69_1449
    | ~ spl69_5
    | ~ spl69_166 ),
    inference(avatar_split_clause,[],[f2667,f1628,f666,f41159]) ).

fof(f41159,plain,
    ( spl69_1449
  <=> ! [X0] :
        ( ~ ssList(cons(X0,sK21))
        | ~ ssItem(X0)
        | singletonP(cons(X0,sK21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1449])]) ).

fof(f1628,plain,
    ( spl69_166
  <=> ! [X1] :
        ( singletonP(cons(X1,nil))
        | ~ ssItem(X1)
        | ~ ssList(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_166])]) ).

fof(f2667,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,sK21))
        | ~ ssItem(X0)
        | singletonP(cons(X0,sK21)) )
    | ~ spl69_5
    | ~ spl69_166 ),
    inference(superposition,[],[f1629,f667]) ).

fof(f1629,plain,
    ( ! [X1] :
        ( ~ ssList(cons(X1,nil))
        | ~ ssItem(X1)
        | singletonP(cons(X1,nil)) )
    | ~ spl69_166 ),
    inference(avatar_component_clause,[],[f1628]) ).

fof(f40109,plain,
    ( spl69_1413
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1409 ),
    inference(avatar_split_clause,[],[f36662,f28154,f2763,f662,f32695]) ).

fof(f32695,plain,
    ( spl69_1413
  <=> sK20 = app(sK25(sK20),cons(sK24(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1413])]) ).

fof(f28154,plain,
    ( spl69_1409
  <=> sK20 = app(sK25(sK21),cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1409])]) ).

fof(f36662,plain,
    ( sK20 = app(sK25(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_252
    | ~ spl69_1409 ),
    inference(forward_demodulation,[],[f36660,f664]) ).

fof(f36660,plain,
    ( sK20 = app(sK25(sK21),cons(sK24(sK21),sK20))
    | ~ spl69_252
    | ~ spl69_1409 ),
    inference(forward_demodulation,[],[f28155,f2764]) ).

fof(f28155,plain,
    ( sK20 = app(sK25(sK21),cons(sK24(sK21),nil))
    | ~ spl69_1409 ),
    inference(avatar_component_clause,[],[f28154]) ).

fof(f36661,plain,
    ( ~ spl69_1413
    | ~ spl69_252
    | spl69_275 ),
    inference(avatar_split_clause,[],[f32693,f3124,f2763,f32695]) ).

fof(f3124,plain,
    ( spl69_275
  <=> sK20 = app(sK25(sK20),cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_275])]) ).

fof(f32693,plain,
    ( sK20 != app(sK25(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_252
    | spl69_275 ),
    inference(superposition,[],[f3125,f2764]) ).

fof(f3125,plain,
    ( sK20 != app(sK25(sK20),cons(sK24(sK20),nil))
    | spl69_275 ),
    inference(avatar_component_clause,[],[f3124]) ).

fof(f36659,plain,
    ( ~ spl69_1413
    | ~ spl69_5
    | ~ spl69_252
    | spl69_1409 ),
    inference(avatar_split_clause,[],[f31538,f28154,f2763,f666,f32695]) ).

fof(f31538,plain,
    ( sK20 != app(sK25(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_5
    | ~ spl69_252
    | spl69_1409 ),
    inference(forward_demodulation,[],[f31493,f31270]) ).

fof(f31270,plain,
    ( sK20 = sK21
    | ~ spl69_5
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f667,f2764]) ).

fof(f31493,plain,
    ( sK20 != app(sK25(sK21),cons(sK24(sK21),sK20))
    | ~ spl69_252
    | spl69_1409 ),
    inference(superposition,[],[f28156,f2764]) ).

fof(f28156,plain,
    ( sK20 != app(sK25(sK21),cons(sK24(sK21),nil))
    | spl69_1409 ),
    inference(avatar_component_clause,[],[f28154]) ).

fof(f36625,plain,
    ( spl69_1448
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_134 ),
    inference(avatar_split_clause,[],[f2697,f1426,f666,f662,f36623]) ).

fof(f36623,plain,
    ( spl69_1448
  <=> ! [X0] :
        ( sK20 = X0
        | ~ frontsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1448])]) ).

fof(f1426,plain,
    ( spl69_134
  <=> ! [X0] :
        ( nil = X0
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_134])]) ).

fof(f2697,plain,
    ( ! [X0] :
        ( sK20 = X0
        | ~ frontsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_134 ),
    inference(forward_demodulation,[],[f2696,f664]) ).

fof(f2696,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK20,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_134 ),
    inference(forward_demodulation,[],[f2662,f664]) ).

fof(f2662,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_134 ),
    inference(superposition,[],[f1427,f667]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( ~ frontsegP(nil,X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_134 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f36621,plain,
    ( spl69_1447
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_133 ),
    inference(avatar_split_clause,[],[f2695,f1422,f666,f662,f36619]) ).

fof(f36619,plain,
    ( spl69_1447
  <=> ! [X0] :
        ( sK20 = X0
        | ~ rearsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1447])]) ).

fof(f1422,plain,
    ( spl69_133
  <=> ! [X0] :
        ( nil = X0
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_133])]) ).

fof(f2695,plain,
    ( ! [X0] :
        ( sK20 = X0
        | ~ rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_133 ),
    inference(forward_demodulation,[],[f2694,f664]) ).

fof(f2694,plain,
    ( ! [X0] :
        ( ~ rearsegP(sK20,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_133 ),
    inference(forward_demodulation,[],[f2661,f664]) ).

fof(f2661,plain,
    ( ! [X0] :
        ( ~ rearsegP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_133 ),
    inference(superposition,[],[f1423,f667]) ).

fof(f1423,plain,
    ( ! [X0] :
        ( ~ rearsegP(nil,X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_133 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f36617,plain,
    ( spl69_1446
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_132 ),
    inference(avatar_split_clause,[],[f2693,f1418,f666,f662,f36615]) ).

fof(f36615,plain,
    ( spl69_1446
  <=> ! [X0] :
        ( sK20 = X0
        | ~ segmentP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1446])]) ).

fof(f1418,plain,
    ( spl69_132
  <=> ! [X0] :
        ( nil = X0
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_132])]) ).

fof(f2693,plain,
    ( ! [X0] :
        ( sK20 = X0
        | ~ segmentP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_132 ),
    inference(forward_demodulation,[],[f2692,f664]) ).

fof(f2692,plain,
    ( ! [X0] :
        ( ~ segmentP(sK20,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_132 ),
    inference(forward_demodulation,[],[f2660,f664]) ).

fof(f2660,plain,
    ( ! [X0] :
        ( ~ segmentP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_132 ),
    inference(superposition,[],[f1419,f667]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_132 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f36610,plain,
    ( spl69_1445
    | ~ spl69_5
    | ~ spl69_134 ),
    inference(avatar_split_clause,[],[f2662,f1426,f666,f36608]) ).

fof(f36608,plain,
    ( spl69_1445
  <=> ! [X0] :
        ( ~ frontsegP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1445])]) ).

fof(f36604,plain,
    ( spl69_1444
    | ~ spl69_5
    | ~ spl69_133 ),
    inference(avatar_split_clause,[],[f2661,f1422,f666,f36602]) ).

fof(f36602,plain,
    ( spl69_1444
  <=> ! [X0] :
        ( ~ rearsegP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1444])]) ).

fof(f36598,plain,
    ( spl69_1443
    | ~ spl69_5
    | ~ spl69_132 ),
    inference(avatar_split_clause,[],[f2660,f1418,f666,f36596]) ).

fof(f36596,plain,
    ( spl69_1443
  <=> ! [X0] :
        ( ~ segmentP(sK21,X0)
        | sK21 = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1443])]) ).

fof(f36575,plain,
    ( ~ spl69_288
    | ~ spl69_4
    | spl69_1289 ),
    inference(avatar_split_clause,[],[f35625,f22754,f662,f3338]) ).

fof(f3338,plain,
    ( spl69_288
  <=> sK20 = cons(sK24(sK20),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_288])]) ).

fof(f22754,plain,
    ( spl69_1289
  <=> sK21 = cons(sK24(sK21),sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1289])]) ).

fof(f35625,plain,
    ( sK20 != cons(sK24(sK20),sK25(sK20))
    | ~ spl69_4
    | spl69_1289 ),
    inference(forward_demodulation,[],[f22755,f664]) ).

fof(f22755,plain,
    ( sK21 != cons(sK24(sK21),sK25(sK21))
    | spl69_1289 ),
    inference(avatar_component_clause,[],[f22754]) ).

fof(f36572,plain,
    ( spl69_1442
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_90 ),
    inference(avatar_split_clause,[],[f2691,f1190,f666,f662,f36570]) ).

fof(f36570,plain,
    ( spl69_1442
  <=> ! [X0] :
        ( totalorderedP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1442])]) ).

fof(f1190,plain,
    ( spl69_90
  <=> ! [X0] :
        ( totalorderedP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_90])]) ).

fof(f2691,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_90 ),
    inference(forward_demodulation,[],[f2659,f664]) ).

fof(f2659,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_90 ),
    inference(superposition,[],[f1191,f667]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_90 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f36568,plain,
    ( spl69_1441
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_89 ),
    inference(avatar_split_clause,[],[f2690,f1186,f666,f662,f36566]) ).

fof(f36566,plain,
    ( spl69_1441
  <=> ! [X0] :
        ( strictorderedP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1441])]) ).

fof(f1186,plain,
    ( spl69_89
  <=> ! [X0] :
        ( strictorderedP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_89])]) ).

fof(f2690,plain,
    ( ! [X0] :
        ( strictorderedP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_89 ),
    inference(forward_demodulation,[],[f2658,f664]) ).

fof(f2658,plain,
    ( ! [X0] :
        ( strictorderedP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_89 ),
    inference(superposition,[],[f1187,f667]) ).

fof(f1187,plain,
    ( ! [X0] :
        ( strictorderedP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_89 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f36564,plain,
    ( spl69_1440
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_88 ),
    inference(avatar_split_clause,[],[f2689,f1182,f666,f662,f36562]) ).

fof(f36562,plain,
    ( spl69_1440
  <=> ! [X0] :
        ( strictorderP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1440])]) ).

fof(f1182,plain,
    ( spl69_88
  <=> ! [X0] :
        ( strictorderP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_88])]) ).

fof(f2689,plain,
    ( ! [X0] :
        ( strictorderP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_88 ),
    inference(forward_demodulation,[],[f2657,f664]) ).

fof(f2657,plain,
    ( ! [X0] :
        ( strictorderP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_88 ),
    inference(superposition,[],[f1183,f667]) ).

fof(f1183,plain,
    ( ! [X0] :
        ( strictorderP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_88 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f36560,plain,
    ( spl69_1439
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_87 ),
    inference(avatar_split_clause,[],[f2688,f1178,f666,f662,f36558]) ).

fof(f36558,plain,
    ( spl69_1439
  <=> ! [X0] :
        ( totalorderP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1439])]) ).

fof(f1178,plain,
    ( spl69_87
  <=> ! [X0] :
        ( totalorderP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_87])]) ).

fof(f2688,plain,
    ( ! [X0] :
        ( totalorderP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_87 ),
    inference(forward_demodulation,[],[f2656,f664]) ).

fof(f2656,plain,
    ( ! [X0] :
        ( totalorderP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_87 ),
    inference(superposition,[],[f1179,f667]) ).

fof(f1179,plain,
    ( ! [X0] :
        ( totalorderP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_87 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f36556,plain,
    ( spl69_1438
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_86 ),
    inference(avatar_split_clause,[],[f2687,f1174,f666,f662,f36554]) ).

fof(f36554,plain,
    ( spl69_1438
  <=> ! [X0] :
        ( cyclefreeP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1438])]) ).

fof(f1174,plain,
    ( spl69_86
  <=> ! [X0] :
        ( cyclefreeP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_86])]) ).

fof(f2687,plain,
    ( ! [X0] :
        ( cyclefreeP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_86 ),
    inference(forward_demodulation,[],[f2655,f664]) ).

fof(f2655,plain,
    ( ! [X0] :
        ( cyclefreeP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_86 ),
    inference(superposition,[],[f1175,f667]) ).

fof(f1175,plain,
    ( ! [X0] :
        ( cyclefreeP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_86 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f36552,plain,
    ( spl69_1437
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_85 ),
    inference(avatar_split_clause,[],[f2686,f1170,f666,f662,f36550]) ).

fof(f36550,plain,
    ( spl69_1437
  <=> ! [X0] :
        ( duplicatefreeP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1437])]) ).

fof(f1170,plain,
    ( spl69_85
  <=> ! [X0] :
        ( duplicatefreeP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_85])]) ).

fof(f2686,plain,
    ( ! [X0] :
        ( duplicatefreeP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_85 ),
    inference(forward_demodulation,[],[f2654,f664]) ).

fof(f2654,plain,
    ( ! [X0] :
        ( duplicatefreeP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_85 ),
    inference(superposition,[],[f1171,f667]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( duplicatefreeP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_85 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f36548,plain,
    ( spl69_1436
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f2685,f1166,f666,f662,f36546]) ).

fof(f36546,plain,
    ( spl69_1436
  <=> ! [X0] :
        ( equalelemsP(cons(X0,sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1436])]) ).

fof(f1166,plain,
    ( spl69_84
  <=> ! [X0] :
        ( equalelemsP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_84])]) ).

fof(f2685,plain,
    ( ! [X0] :
        ( equalelemsP(cons(X0,sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_84 ),
    inference(forward_demodulation,[],[f2653,f664]) ).

fof(f2653,plain,
    ( ! [X0] :
        ( equalelemsP(cons(X0,sK21))
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_84 ),
    inference(superposition,[],[f1167,f667]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( equalelemsP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_84 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f36543,plain,
    ( spl69_1435
    | ~ spl69_5
    | ~ spl69_90 ),
    inference(avatar_split_clause,[],[f2659,f1190,f666,f36541]) ).

fof(f36541,plain,
    ( spl69_1435
  <=> ! [X0] :
        ( totalorderedP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1435])]) ).

fof(f36537,plain,
    ( spl69_1434
    | ~ spl69_5
    | ~ spl69_89 ),
    inference(avatar_split_clause,[],[f2658,f1186,f666,f36535]) ).

fof(f36535,plain,
    ( spl69_1434
  <=> ! [X0] :
        ( strictorderedP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1434])]) ).

fof(f36532,plain,
    ( spl69_1433
    | ~ spl69_5
    | ~ spl69_88 ),
    inference(avatar_split_clause,[],[f2657,f1182,f666,f36530]) ).

fof(f36530,plain,
    ( spl69_1433
  <=> ! [X0] :
        ( strictorderP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1433])]) ).

fof(f36527,plain,
    ( spl69_1432
    | ~ spl69_5
    | ~ spl69_87 ),
    inference(avatar_split_clause,[],[f2656,f1178,f666,f36525]) ).

fof(f36525,plain,
    ( spl69_1432
  <=> ! [X0] :
        ( totalorderP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1432])]) ).

fof(f36522,plain,
    ( spl69_1431
    | ~ spl69_5
    | ~ spl69_86 ),
    inference(avatar_split_clause,[],[f2655,f1174,f666,f36520]) ).

fof(f36520,plain,
    ( spl69_1431
  <=> ! [X0] :
        ( cyclefreeP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1431])]) ).

fof(f36517,plain,
    ( spl69_1430
    | ~ spl69_5
    | ~ spl69_85 ),
    inference(avatar_split_clause,[],[f2654,f1170,f666,f36515]) ).

fof(f36515,plain,
    ( spl69_1430
  <=> ! [X0] :
        ( duplicatefreeP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1430])]) ).

fof(f36512,plain,
    ( spl69_1429
    | ~ spl69_5
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f2653,f1166,f666,f36510]) ).

fof(f36510,plain,
    ( spl69_1429
  <=> ! [X0] :
        ( equalelemsP(cons(X0,sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1429])]) ).

fof(f36289,plain,
    ( spl69_1428
    | ~ spl69_111
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f29747,f22573,f22544,f2763,f1503,f1499,f1280,f36286]) ).

fof(f22544,plain,
    ( spl69_1283
  <=> hd(sK21) = sK24(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1283])]) ).

fof(f29747,plain,
    ( sK20 = app(sK20,sK20)
    | ~ spl69_111
    | ~ spl69_137
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f29746,f28744]) ).

fof(f28744,plain,
    ( sK20 = app(sK25(sK21),cons(sK24(sK21),sK20))
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f22600,f2764]) ).

fof(f22600,plain,
    ( sK20 = app(sK25(sK21),cons(sK24(sK21),nil))
    | ~ spl69_138
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f22578,f22546]) ).

fof(f22546,plain,
    ( hd(sK21) = sK24(sK21)
    | ~ spl69_1283 ),
    inference(avatar_component_clause,[],[f22544]) ).

fof(f29746,plain,
    ( app(sK25(sK21),cons(sK24(sK21),sK20)) = app(app(sK25(sK21),cons(sK24(sK21),sK20)),sK20)
    | ~ spl69_111
    | ~ spl69_137
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f27534,f2764]) ).

fof(f27534,plain,
    ( app(sK25(sK21),cons(sK24(sK21),nil)) = app(app(sK25(sK21),cons(sK24(sK21),nil)),nil)
    | ~ spl69_111
    | ~ spl69_137
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f27533,f22575]) ).

fof(f27533,plain,
    ( app(tl(sK21),cons(sK24(sK21),nil)) = app(app(tl(sK21),cons(sK24(sK21),nil)),nil)
    | ~ spl69_111
    | ~ spl69_137
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f21744,f22546]) ).

fof(f21744,plain,
    ( app(tl(sK21),cons(hd(sK21),nil)) = app(app(tl(sK21),cons(hd(sK21),nil)),nil)
    | ~ spl69_111
    | ~ spl69_137 ),
    inference(resolution,[],[f1500,f1281]) ).

fof(f36284,plain,
    ( spl69_1427
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_36 ),
    inference(avatar_split_clause,[],[f2682,f826,f666,f662,f36282]) ).

fof(f36282,plain,
    ( spl69_1427
  <=> ! [X0] :
        ( frontsegP(X0,sK20)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1427])]) ).

fof(f826,plain,
    ( spl69_36
  <=> ! [X0] :
        ( frontsegP(X0,nil)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).

fof(f2682,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK20)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_36 ),
    inference(forward_demodulation,[],[f2651,f664]) ).

fof(f2651,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK21)
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_36 ),
    inference(superposition,[],[f827,f667]) ).

fof(f827,plain,
    ( ! [X0] :
        ( frontsegP(X0,nil)
        | ~ ssList(X0) )
    | ~ spl69_36 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f36280,plain,
    ( spl69_1426
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_34 ),
    inference(avatar_split_clause,[],[f2681,f818,f666,f662,f36278]) ).

fof(f36278,plain,
    ( spl69_1426
  <=> ! [X0] :
        ( rearsegP(X0,sK20)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1426])]) ).

fof(f818,plain,
    ( spl69_34
  <=> ! [X0] :
        ( rearsegP(X0,nil)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).

fof(f2681,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK20)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_34 ),
    inference(forward_demodulation,[],[f2650,f664]) ).

fof(f2650,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK21)
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_34 ),
    inference(superposition,[],[f819,f667]) ).

fof(f819,plain,
    ( ! [X0] :
        ( rearsegP(X0,nil)
        | ~ ssList(X0) )
    | ~ spl69_34 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f36276,plain,
    ( spl69_1425
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_33 ),
    inference(avatar_split_clause,[],[f2680,f814,f666,f662,f36274]) ).

fof(f36274,plain,
    ( spl69_1425
  <=> ! [X0] :
        ( segmentP(X0,sK20)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1425])]) ).

fof(f814,plain,
    ( spl69_33
  <=> ! [X0] :
        ( segmentP(X0,nil)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).

fof(f2680,plain,
    ( ! [X0] :
        ( segmentP(X0,sK20)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_33 ),
    inference(forward_demodulation,[],[f2649,f664]) ).

fof(f2649,plain,
    ( ! [X0] :
        ( segmentP(X0,sK21)
        | ~ ssList(X0) )
    | ~ spl69_5
    | ~ spl69_33 ),
    inference(superposition,[],[f815,f667]) ).

fof(f815,plain,
    ( ! [X0] :
        ( segmentP(X0,nil)
        | ~ ssList(X0) )
    | ~ spl69_33 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f36272,plain,
    ( spl69_1424
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f2679,f793,f666,f662,f36270]) ).

fof(f36270,plain,
    ( spl69_1424
  <=> ! [X0] :
        ( ~ memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1424])]) ).

fof(f793,plain,
    ( spl69_28
  <=> ! [X0] :
        ( ~ memberP(nil,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).

fof(f2679,plain,
    ( ! [X0] :
        ( ~ memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_28 ),
    inference(forward_demodulation,[],[f2648,f664]) ).

fof(f2648,plain,
    ( ! [X0] :
        ( ~ memberP(sK21,X0)
        | ~ ssItem(X0) )
    | ~ spl69_5
    | ~ spl69_28 ),
    inference(superposition,[],[f794,f667]) ).

fof(f794,plain,
    ( ! [X0] :
        ( ~ memberP(nil,X0)
        | ~ ssItem(X0) )
    | ~ spl69_28 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f36267,plain,
    ( spl69_1423
    | ~ spl69_5
    | ~ spl69_36 ),
    inference(avatar_split_clause,[],[f2651,f826,f666,f36265]) ).

fof(f36265,plain,
    ( spl69_1423
  <=> ! [X0] :
        ( frontsegP(X0,sK21)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1423])]) ).

fof(f36262,plain,
    ( spl69_1422
    | ~ spl69_5
    | ~ spl69_34 ),
    inference(avatar_split_clause,[],[f2650,f818,f666,f36260]) ).

fof(f36260,plain,
    ( spl69_1422
  <=> ! [X0] :
        ( rearsegP(X0,sK21)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1422])]) ).

fof(f36257,plain,
    ( spl69_1421
    | ~ spl69_5
    | ~ spl69_33 ),
    inference(avatar_split_clause,[],[f2649,f814,f666,f36255]) ).

fof(f36255,plain,
    ( spl69_1421
  <=> ! [X0] :
        ( segmentP(X0,sK21)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1421])]) ).

fof(f36252,plain,
    ( spl69_1420
    | ~ spl69_5
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f2648,f793,f666,f36250]) ).

fof(f36250,plain,
    ( spl69_1420
  <=> ! [X0] :
        ( ~ memberP(sK21,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1420])]) ).

fof(f35493,plain,
    ( ~ spl69_297
    | ~ spl69_4
    | spl69_254
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f34113,f22544,f2793,f662,f3444]) ).

fof(f3444,plain,
    ( spl69_297
  <=> ssItem(sK24(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_297])]) ).

fof(f34113,plain,
    ( ~ ssItem(sK24(sK20))
    | ~ spl69_4
    | spl69_254
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f2795,f31593]) ).

fof(f31593,plain,
    ( hd(sK20) = sK24(sK20)
    | ~ spl69_4
    | ~ spl69_1283 ),
    inference(superposition,[],[f22546,f664]) ).

fof(f2795,plain,
    ( ~ ssItem(hd(sK20))
    | spl69_254 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f32936,plain,
    ( ~ spl69_305
    | ~ spl69_4
    | spl69_139
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f31372,f3070,f1507,f662,f3555]) ).

fof(f31372,plain,
    ( ~ ssList(sK25(sK20))
    | ~ spl69_4
    | spl69_139
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f2710,f3072]) ).

fof(f2710,plain,
    ( ~ ssList(tl(sK20))
    | ~ spl69_4
    | spl69_139 ),
    inference(superposition,[],[f1509,f664]) ).

fof(f1509,plain,
    ( ~ ssList(tl(sK21))
    | spl69_139 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f32935,plain,
    ( spl69_1419
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f2678,f735,f666,f662,f32933]) ).

fof(f32933,plain,
    ( spl69_1419
  <=> ! [X0] : sP2(sK20,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1419])]) ).

fof(f735,plain,
    ( spl69_19
  <=> ! [X1] : sP2(nil,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).

fof(f2678,plain,
    ( ! [X0] : sP2(sK20,X0)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_19 ),
    inference(forward_demodulation,[],[f2647,f664]) ).

fof(f2647,plain,
    ( ! [X0] : sP2(sK21,X0)
    | ~ spl69_5
    | ~ spl69_19 ),
    inference(superposition,[],[f736,f667]) ).

fof(f736,plain,
    ( ! [X1] : sP2(nil,X1)
    | ~ spl69_19 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f32931,plain,
    ( spl69_1418
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_18 ),
    inference(avatar_split_clause,[],[f2677,f731,f666,f662,f32929]) ).

fof(f32929,plain,
    ( spl69_1418
  <=> ! [X0] : sP0(sK20,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1418])]) ).

fof(f731,plain,
    ( spl69_18
  <=> ! [X1] : sP0(nil,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).

fof(f2677,plain,
    ( ! [X0] : sP0(sK20,X0)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_18 ),
    inference(forward_demodulation,[],[f2646,f664]) ).

fof(f2646,plain,
    ( ! [X0] : sP0(sK21,X0)
    | ~ spl69_5
    | ~ spl69_18 ),
    inference(superposition,[],[f732,f667]) ).

fof(f732,plain,
    ( ! [X1] : sP0(nil,X1)
    | ~ spl69_18 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f32926,plain,
    ( spl69_1417
    | ~ spl69_5
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f2647,f735,f666,f32924]) ).

fof(f32924,plain,
    ( spl69_1417
  <=> ! [X0] : sP2(sK21,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1417])]) ).

fof(f32921,plain,
    ( spl69_1416
    | ~ spl69_5
    | ~ spl69_18 ),
    inference(avatar_split_clause,[],[f2646,f731,f666,f32919]) ).

fof(f32919,plain,
    ( spl69_1416
  <=> ! [X0] : sP0(sK21,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1416])]) ).

fof(f32916,plain,
    ( spl69_1415
    | ~ spl69_3
    | ~ spl69_5 ),
    inference(avatar_split_clause,[],[f2636,f666,f657,f32913]) ).

fof(f32913,plain,
    ( spl69_1415
  <=> neq(sK21,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1415])]) ).

fof(f657,plain,
    ( spl69_3
  <=> neq(sK21,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).

fof(f2636,plain,
    ( neq(sK21,sK21)
    | ~ spl69_3
    | ~ spl69_5 ),
    inference(superposition,[],[f659,f667]) ).

fof(f659,plain,
    ( neq(sK21,nil)
    | ~ spl69_3 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f32911,plain,
    ( spl69_1414
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5 ),
    inference(avatar_split_clause,[],[f2627,f666,f662,f657,f32908]) ).

fof(f2627,plain,
    ( neq(sK20,sK20)
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5 ),
    inference(forward_demodulation,[],[f2626,f664]) ).

fof(f2626,plain,
    ( neq(sK20,sK21)
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5 ),
    inference(forward_demodulation,[],[f2609,f667]) ).

fof(f2609,plain,
    ( neq(sK20,nil)
    | ~ spl69_3
    | ~ spl69_4 ),
    inference(superposition,[],[f659,f664]) ).

fof(f32783,plain,
    ( ~ spl69_1
    | spl69_1412
    | ~ spl69_1413 ),
    inference(avatar_split_clause,[],[f32780,f32695,f31650,f647]) ).

fof(f32780,plain,
    ( ~ ssList(sK20)
    | spl69_1412
    | ~ spl69_1413 ),
    inference(forward_demodulation,[],[f31651,f32697]) ).

fof(f32697,plain,
    ( sK20 = app(sK25(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_1413 ),
    inference(avatar_component_clause,[],[f32695]) ).

fof(f32779,plain,
    ( ~ spl69_1
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284
    | spl69_1410 ),
    inference(avatar_split_clause,[],[f31539,f28164,f22573,f22544,f2763,f1503,f647]) ).

fof(f31539,plain,
    ( ~ ssList(sK20)
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283
    | ~ spl69_1284
    | spl69_1410 ),
    inference(forward_demodulation,[],[f31494,f28744]) ).

fof(f31494,plain,
    ( ~ ssList(app(sK25(sK21),cons(sK24(sK21),sK20)))
    | ~ spl69_252
    | spl69_1410 ),
    inference(superposition,[],[f28166,f2764]) ).

fof(f28166,plain,
    ( ~ ssList(app(sK25(sK21),cons(sK24(sK21),nil)))
    | spl69_1410 ),
    inference(avatar_component_clause,[],[f28164]) ).

fof(f32774,plain,
    ( spl69_484
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(avatar_split_clause,[],[f2676,f706,f666,f662,f4852]) ).

fof(f4852,plain,
    ( spl69_484
  <=> totalorderedP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_484])]) ).

fof(f706,plain,
    ( spl69_13
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).

fof(f2676,plain,
    ( totalorderedP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(forward_demodulation,[],[f2644,f664]) ).

fof(f2644,plain,
    ( totalorderedP(sK21)
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(superposition,[],[f708,f667]) ).

fof(f708,plain,
    ( totalorderedP(nil)
    | ~ spl69_13 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f32769,plain,
    ( spl69_570
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f2675,f701,f666,f662,f5716]) ).

fof(f5716,plain,
    ( spl69_570
  <=> strictorderedP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_570])]) ).

fof(f701,plain,
    ( spl69_12
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).

fof(f2675,plain,
    ( strictorderedP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f2643,f664]) ).

fof(f2643,plain,
    ( strictorderedP(sK21)
    | ~ spl69_5
    | ~ spl69_12 ),
    inference(superposition,[],[f703,f667]) ).

fof(f703,plain,
    ( strictorderedP(nil)
    | ~ spl69_12 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f32768,plain,
    ( spl69_431
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_11 ),
    inference(avatar_split_clause,[],[f2674,f696,f666,f662,f4425]) ).

fof(f4425,plain,
    ( spl69_431
  <=> totalorderP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_431])]) ).

fof(f696,plain,
    ( spl69_11
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).

fof(f2674,plain,
    ( totalorderP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_11 ),
    inference(forward_demodulation,[],[f2642,f664]) ).

fof(f2642,plain,
    ( totalorderP(sK21)
    | ~ spl69_5
    | ~ spl69_11 ),
    inference(superposition,[],[f698,f667]) ).

fof(f698,plain,
    ( totalorderP(nil)
    | ~ spl69_11 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f32767,plain,
    ( spl69_477
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_10 ),
    inference(avatar_split_clause,[],[f2673,f691,f666,f662,f4632]) ).

fof(f4632,plain,
    ( spl69_477
  <=> strictorderP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_477])]) ).

fof(f691,plain,
    ( spl69_10
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).

fof(f2673,plain,
    ( strictorderP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_10 ),
    inference(forward_demodulation,[],[f2641,f664]) ).

fof(f2641,plain,
    ( strictorderP(sK21)
    | ~ spl69_5
    | ~ spl69_10 ),
    inference(superposition,[],[f693,f667]) ).

fof(f693,plain,
    ( strictorderP(nil)
    | ~ spl69_10 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f32762,plain,
    ( spl69_486
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(avatar_split_clause,[],[f2644,f706,f666,f4922]) ).

fof(f4922,plain,
    ( spl69_486
  <=> totalorderedP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_486])]) ).

fof(f32757,plain,
    ( spl69_592
    | ~ spl69_5
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f2643,f701,f666,f5906]) ).

fof(f5906,plain,
    ( spl69_592
  <=> strictorderedP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_592])]) ).

fof(f32754,plain,
    ( spl69_463
    | ~ spl69_5
    | ~ spl69_11 ),
    inference(avatar_split_clause,[],[f2642,f696,f666,f4555]) ).

fof(f4555,plain,
    ( spl69_463
  <=> totalorderP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_463])]) ).

fof(f32751,plain,
    ( spl69_479
    | ~ spl69_5
    | ~ spl69_10 ),
    inference(avatar_split_clause,[],[f2641,f691,f666,f4702]) ).

fof(f4702,plain,
    ( spl69_479
  <=> strictorderP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_479])]) ).

fof(f32748,plain,
    ( spl69_482
    | ~ spl69_5
    | ~ spl69_9 ),
    inference(avatar_split_clause,[],[f2640,f686,f666,f4800]) ).

fof(f4800,plain,
    ( spl69_482
  <=> cyclefreeP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_482])]) ).

fof(f686,plain,
    ( spl69_9
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).

fof(f2640,plain,
    ( cyclefreeP(sK21)
    | ~ spl69_5
    | ~ spl69_9 ),
    inference(superposition,[],[f688,f667]) ).

fof(f688,plain,
    ( cyclefreeP(nil)
    | ~ spl69_9 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f32698,plain,
    ( spl69_1413
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f31663,f22544,f3070,f2763,f1503,f662,f32695]) ).

fof(f31663,plain,
    ( sK20 = app(sK25(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f31662,f3072]) ).

fof(f31662,plain,
    ( sK20 = app(tl(sK20),cons(sK24(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_252
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f31369,f31593]) ).

fof(f31369,plain,
    ( sK20 = app(tl(sK20),cons(hd(sK20),sK20))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f3116,f2764]) ).

fof(f3116,plain,
    ( sK20 = app(tl(sK20),cons(hd(sK20),nil))
    | ~ spl69_4
    | ~ spl69_138 ),
    inference(forward_demodulation,[],[f1505,f664]) ).

fof(f31653,plain,
    ( spl69_1412
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_288
    | ~ spl69_1135 ),
    inference(avatar_split_clause,[],[f31368,f19282,f3338,f3070,f2763,f1499,f662,f31650]) ).

fof(f19282,plain,
    ( spl69_1135
  <=> sK24(sK20) = hd(cons(sK24(sK20),sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1135])]) ).

fof(f31368,plain,
    ( ssList(app(sK25(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_252
    | ~ spl69_269
    | ~ spl69_288
    | ~ spl69_1135 ),
    inference(forward_demodulation,[],[f31367,f3072]) ).

fof(f31367,plain,
    ( ssList(app(tl(sK20),cons(sK24(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_252
    | ~ spl69_288
    | ~ spl69_1135 ),
    inference(forward_demodulation,[],[f31366,f19286]) ).

fof(f19286,plain,
    ( hd(sK20) = sK24(sK20)
    | ~ spl69_288
    | ~ spl69_1135 ),
    inference(forward_demodulation,[],[f19284,f3340]) ).

fof(f3340,plain,
    ( sK20 = cons(sK24(sK20),sK25(sK20))
    | ~ spl69_288 ),
    inference(avatar_component_clause,[],[f3338]) ).

fof(f19284,plain,
    ( sK24(sK20) = hd(cons(sK24(sK20),sK25(sK20)))
    | ~ spl69_1135 ),
    inference(avatar_component_clause,[],[f19282]) ).

fof(f31366,plain,
    ( ssList(app(tl(sK20),cons(hd(sK20),sK20)))
    | ~ spl69_4
    | ~ spl69_137
    | ~ spl69_252 ),
    inference(forward_demodulation,[],[f3119,f2764]) ).

fof(f3119,plain,
    ( ssList(app(tl(sK20),cons(hd(sK20),nil)))
    | ~ spl69_4
    | ~ spl69_137 ),
    inference(forward_demodulation,[],[f1500,f664]) ).

fof(f31553,plain,
    ( spl69_4
    | ~ spl69_5
    | ~ spl69_252 ),
    inference(avatar_split_clause,[],[f31270,f2763,f666,f662]) ).

fof(f31547,plain,
    ( ~ spl69_1350
    | spl69_139
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f28688,f22573,f1507,f24058]) ).

fof(f24058,plain,
    ( spl69_1350
  <=> ssList(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1350])]) ).

fof(f28688,plain,
    ( ~ ssList(sK25(sK21))
    | spl69_139
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f1509,f22575]) ).

fof(f31545,plain,
    ( ~ spl69_1411
    | ~ spl69_5
    | spl69_6 ),
    inference(avatar_split_clause,[],[f2637,f671,f666,f31542]) ).

fof(f31542,plain,
    ( spl69_1411
  <=> singletonP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1411])]) ).

fof(f671,plain,
    ( spl69_6
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).

fof(f2637,plain,
    ( ~ singletonP(sK21)
    | ~ spl69_5
    | spl69_6 ),
    inference(superposition,[],[f673,f667]) ).

fof(f673,plain,
    ( ~ singletonP(nil)
    | spl69_6 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f31525,plain,
    ( ~ spl69_5
    | ~ spl69_252
    | spl69_1313 ),
    inference(avatar_contradiction_clause,[],[f31524]) ).

fof(f31524,plain,
    ( $false
    | ~ spl69_5
    | ~ spl69_252
    | spl69_1313 ),
    inference(trivial_inequality_removal,[],[f31523]) ).

fof(f31523,plain,
    ( sK24(sK20) != sK24(sK20)
    | ~ spl69_5
    | ~ spl69_252
    | spl69_1313 ),
    inference(forward_demodulation,[],[f31475,f31270]) ).

fof(f31475,plain,
    ( sK24(sK20) != sK24(sK21)
    | ~ spl69_252
    | spl69_1313 ),
    inference(superposition,[],[f23447,f2764]) ).

fof(f23447,plain,
    ( sK24(nil) != sK24(sK21)
    | spl69_1313 ),
    inference(avatar_component_clause,[],[f23445]) ).

fof(f23445,plain,
    ( spl69_1313
  <=> sK24(nil) = sK24(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1313])]) ).

fof(f28169,plain,
    ( ~ spl69_1368
    | ~ spl69_1350
    | ~ spl69_136
    | spl69_137
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f28160,f22573,f22544,f1499,f1434,f24058,f24449]) ).

fof(f24449,plain,
    ( spl69_1368
  <=> ssList(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1368])]) ).

fof(f28160,plain,
    ( ~ ssList(sK25(sK21))
    | ~ ssList(cons(sK24(sK21),nil))
    | ~ spl69_136
    | spl69_137
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f28159,f22575]) ).

fof(f28159,plain,
    ( ~ ssList(cons(sK24(sK21),nil))
    | ~ ssList(tl(sK21))
    | ~ spl69_136
    | spl69_137
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f1528,f22546]) ).

fof(f1528,plain,
    ( ~ ssList(cons(hd(sK21),nil))
    | ~ ssList(tl(sK21))
    | ~ spl69_136
    | spl69_137 ),
    inference(resolution,[],[f1501,f1435]) ).

fof(f1501,plain,
    ( ~ ssList(app(tl(sK21),cons(hd(sK21),nil)))
    | spl69_137 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f28167,plain,
    ( ~ spl69_1410
    | spl69_137
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f28162,f22573,f22544,f1499,f28164]) ).

fof(f28162,plain,
    ( ~ ssList(app(sK25(sK21),cons(sK24(sK21),nil)))
    | spl69_137
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f28161,f22575]) ).

fof(f28161,plain,
    ( ~ ssList(app(tl(sK21),cons(sK24(sK21),nil)))
    | spl69_137
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f1501,f22546]) ).

fof(f28158,plain,
    ( ~ spl69_14
    | ~ spl69_2
    | spl69_5
    | spl69_142
    | ~ spl69_165 ),
    inference(avatar_split_clause,[],[f1771,f1624,f1519,f666,f652,f711]) ).

fof(f711,plain,
    ( spl69_14
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).

fof(f652,plain,
    ( spl69_2
  <=> ssList(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).

fof(f1519,plain,
    ( spl69_142
  <=> neq(nil,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_142])]) ).

fof(f1624,plain,
    ( spl69_165
  <=> ! [X0,X1] :
        ( neq(X0,X1)
        | X0 = X1
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_165])]) ).

fof(f1771,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | ~ ssList(nil)
    | spl69_142
    | ~ spl69_165 ),
    inference(resolution,[],[f1625,f1521]) ).

fof(f1521,plain,
    ( ~ neq(nil,sK21)
    | spl69_142 ),
    inference(avatar_component_clause,[],[f1519]) ).

fof(f1625,plain,
    ( ! [X0,X1] :
        ( neq(X0,X1)
        | X0 = X1
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_165 ),
    inference(avatar_component_clause,[],[f1624]) ).

fof(f28157,plain,
    ( ~ spl69_1409
    | spl69_138
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f28150,f22573,f22544,f1503,f28154]) ).

fof(f28150,plain,
    ( sK20 != app(sK25(sK21),cons(sK24(sK21),nil))
    | spl69_138
    | ~ spl69_1283
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f28149,f22575]) ).

fof(f28149,plain,
    ( sK20 != app(tl(sK21),cons(sK24(sK21),nil))
    | spl69_138
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f1504,f22546]) ).

fof(f1504,plain,
    ( sK20 != app(tl(sK21),cons(hd(sK21),nil))
    | spl69_138 ),
    inference(avatar_component_clause,[],[f1503]) ).

fof(f26904,plain,
    ( ~ spl69_14
    | ~ spl69_1342
    | ~ spl69_135
    | spl69_140
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f26819,f22544,f1511,f1430,f23931,f711]) ).

fof(f23931,plain,
    ( spl69_1342
  <=> ssItem(sK24(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1342])]) ).

fof(f1430,plain,
    ( spl69_135
  <=> ! [X0,X1] :
        ( ssList(cons(X1,X0))
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_135])]) ).

fof(f26819,plain,
    ( ~ ssItem(sK24(sK21))
    | ~ ssList(nil)
    | ~ spl69_135
    | spl69_140
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f1527,f22546]) ).

fof(f1527,plain,
    ( ~ ssItem(hd(sK21))
    | ~ ssList(nil)
    | ~ spl69_135
    | spl69_140 ),
    inference(resolution,[],[f1513,f1431]) ).

fof(f1431,plain,
    ( ! [X0,X1] :
        ( ssList(cons(X1,X0))
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_135 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f1513,plain,
    ( ~ ssList(cons(hd(sK21),nil))
    | spl69_140 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f26821,plain,
    ( ~ spl69_1368
    | spl69_140
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f26820,f22544,f1511,f24449]) ).

fof(f26820,plain,
    ( ~ ssList(cons(sK24(sK21),nil))
    | spl69_140
    | ~ spl69_1283 ),
    inference(forward_demodulation,[],[f1513,f22546]) ).

fof(f26728,plain,
    ( ~ spl69_2
    | spl69_5
    | ~ spl69_128
    | spl69_141 ),
    inference(avatar_split_clause,[],[f1526,f1515,f1400,f666,f652]) ).

fof(f1400,plain,
    ( spl69_128
  <=> ! [X0] :
        ( ssItem(hd(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_128])]) ).

fof(f1515,plain,
    ( spl69_141
  <=> ssItem(hd(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_141])]) ).

fof(f1526,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | ~ spl69_128
    | spl69_141 ),
    inference(resolution,[],[f1517,f1401]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( ssItem(hd(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_128 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f1517,plain,
    ( ~ ssItem(hd(sK21))
    | spl69_141 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f26573,plain,
    ( ~ spl69_14
    | ~ spl69_244
    | ~ spl69_1289
    | ~ spl69_1299
    | ~ spl69_1307
    | ~ spl69_1342
    | ~ spl69_1405 ),
    inference(avatar_split_clause,[],[f26377,f26368,f23931,f23227,f22939,f22754,f2563,f711]) ).

fof(f23227,plain,
    ( spl69_1307
  <=> ! [X0] :
        ( cons(X0,sK25(sK21)) = app(cons(X0,nil),sK25(sK21))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1307])]) ).

fof(f26377,plain,
    ( ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_1289
    | ~ spl69_1299
    | ~ spl69_1307
    | ~ spl69_1342
    | ~ spl69_1405 ),
    inference(trivial_inequality_removal,[],[f26376]) ).

fof(f26376,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_1289
    | ~ spl69_1299
    | ~ spl69_1307
    | ~ spl69_1342
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f26375,f2565]) ).

fof(f26375,plain,
    ( sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_1289
    | ~ spl69_1299
    | ~ spl69_1307
    | ~ spl69_1342
    | ~ spl69_1405 ),
    inference(trivial_inequality_removal,[],[f26374]) ).

fof(f26374,plain,
    ( sK21 != sK21
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_1289
    | ~ spl69_1299
    | ~ spl69_1307
    | ~ spl69_1342
    | ~ spl69_1405 ),
    inference(forward_demodulation,[],[f26373,f25366]) ).

fof(f25366,plain,
    ( sK21 = app(cons(sK24(sK21),nil),sK25(sK21))
    | ~ spl69_1289
    | ~ spl69_1307
    | ~ spl69_1342 ),
    inference(forward_demodulation,[],[f24369,f22756]) ).

fof(f22756,plain,
    ( sK21 = cons(sK24(sK21),sK25(sK21))
    | ~ spl69_1289 ),
    inference(avatar_component_clause,[],[f22754]) ).

fof(f24369,plain,
    ( cons(sK24(sK21),sK25(sK21)) = app(cons(sK24(sK21),nil),sK25(sK21))
    | ~ spl69_1307
    | ~ spl69_1342 ),
    inference(resolution,[],[f23933,f23228]) ).

fof(f23228,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK25(sK21)) = app(cons(X0,nil),sK25(sK21)) )
    | ~ spl69_1307 ),
    inference(avatar_component_clause,[],[f23227]) ).

fof(f23933,plain,
    ( ssItem(sK24(sK21))
    | ~ spl69_1342 ),
    inference(avatar_component_clause,[],[f23931]) ).

fof(f26462,plain,
    ( spl69_1408
    | ~ spl69_1283
    | ~ spl69_1333 ),
    inference(avatar_split_clause,[],[f23765,f23762,f22544,f26460]) ).

fof(f26460,plain,
    ( spl69_1408
  <=> ! [X0,X1] :
        ( app(app(X0,X1),cons(sK24(sK21),nil)) = app(X0,app(X1,cons(sK24(sK21),nil)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1408])]) ).

fof(f23765,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),cons(sK24(sK21),nil)) = app(X0,app(X1,cons(sK24(sK21),nil)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1333 ),
    inference(forward_demodulation,[],[f23763,f22546]) ).

fof(f26458,plain,
    ( spl69_1407
    | ~ spl69_1283
    | ~ spl69_1332 ),
    inference(avatar_split_clause,[],[f23759,f23756,f22544,f26456]) ).

fof(f26456,plain,
    ( spl69_1407
  <=> ! [X0,X1] :
        ( cons(X0,app(cons(sK24(sK21),nil),X1)) = app(cons(X0,cons(sK24(sK21),nil)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1407])]) ).

fof(f23759,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(cons(sK24(sK21),nil),X1)) = app(cons(X0,cons(sK24(sK21),nil)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1332 ),
    inference(forward_demodulation,[],[f23757,f22546]) ).

fof(f26381,plain,
    ( spl69_1406
    | ~ spl69_1283
    | ~ spl69_1331 ),
    inference(avatar_split_clause,[],[f23753,f23750,f22544,f26379]) ).

fof(f26379,plain,
    ( spl69_1406
  <=> ! [X0] :
        ( tl(app(X0,cons(sK24(sK21),nil))) = app(tl(X0),cons(sK24(sK21),nil))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1406])]) ).

fof(f23753,plain,
    ( ! [X0] :
        ( tl(app(X0,cons(sK24(sK21),nil))) = app(tl(X0),cons(sK24(sK21),nil))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1331 ),
    inference(forward_demodulation,[],[f23751,f22546]) ).

fof(f26370,plain,
    ( spl69_1405
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(avatar_split_clause,[],[f25362,f24067,f22573,f22544,f26368]) ).

fof(f25362,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(sK24(sK21),nil)),sK25(sK21))
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24070,f22546]) ).

fof(f26237,plain,
    ( spl69_1404
    | ~ spl69_1283
    | ~ spl69_1322 ),
    inference(avatar_split_clause,[],[f23663,f23660,f22544,f26235]) ).

fof(f26235,plain,
    ( spl69_1404
  <=> ! [X0] :
        ( cons(X0,cons(sK24(sK21),nil)) = app(cons(X0,nil),cons(sK24(sK21),nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1404])]) ).

fof(f23663,plain,
    ( ! [X0] :
        ( cons(X0,cons(sK24(sK21),nil)) = app(cons(X0,nil),cons(sK24(sK21),nil))
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1322 ),
    inference(forward_demodulation,[],[f23661,f22546]) ).

fof(f26233,plain,
    ( spl69_1403
    | ~ spl69_1284
    | ~ spl69_1321 ),
    inference(avatar_split_clause,[],[f23657,f23654,f22573,f26231]) ).

fof(f26231,plain,
    ( spl69_1403
  <=> ! [X0,X1] :
        ( app(app(X0,X1),sK25(sK21)) = app(X0,app(X1,sK25(sK21)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1403])]) ).

fof(f23654,plain,
    ( spl69_1321
  <=> ! [X0,X1] :
        ( app(app(X0,X1),tl(sK21)) = app(X0,app(X1,tl(sK21)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1321])]) ).

fof(f23657,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),sK25(sK21)) = app(X0,app(X1,sK25(sK21)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1321 ),
    inference(forward_demodulation,[],[f23655,f22575]) ).

fof(f23655,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),tl(sK21)) = app(X0,app(X1,tl(sK21)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1321 ),
    inference(avatar_component_clause,[],[f23654]) ).

fof(f26229,plain,
    ( spl69_1402
    | ~ spl69_1284
    | ~ spl69_1320 ),
    inference(avatar_split_clause,[],[f23651,f23648,f22573,f26227]) ).

fof(f26227,plain,
    ( spl69_1402
  <=> ! [X0,X1] :
        ( cons(X0,app(sK25(sK21),X1)) = app(cons(X0,sK25(sK21)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1402])]) ).

fof(f23648,plain,
    ( spl69_1320
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(tl(sK21),X1)) = app(cons(X0,tl(sK21)),X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1320])]) ).

fof(f23651,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(sK25(sK21),X1)) = app(cons(X0,sK25(sK21)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1284
    | ~ spl69_1320 ),
    inference(forward_demodulation,[],[f23649,f22575]) ).

fof(f23649,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(tl(sK21),X1)) = app(cons(X0,tl(sK21)),X1)
        | ~ ssList(X1) )
    | ~ spl69_1320 ),
    inference(avatar_component_clause,[],[f23648]) ).

fof(f26100,plain,
    ( spl69_1401
    | ~ spl69_1283
    | ~ spl69_1334 ),
    inference(avatar_split_clause,[],[f24579,f23768,f22544,f26097]) ).

fof(f26097,plain,
    ( spl69_1401
  <=> cons(sK24(sK21),nil) = cons(sK23(cons(sK24(sK21),nil)),sK22(cons(sK24(sK21),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1401])]) ).

fof(f24579,plain,
    ( cons(sK24(sK21),nil) = cons(sK23(cons(sK24(sK21),nil)),sK22(cons(sK24(sK21),nil)))
    | ~ spl69_1283
    | ~ spl69_1334 ),
    inference(forward_demodulation,[],[f23770,f22546]) ).

fof(f26093,plain,
    ( spl69_1400
    | ~ spl69_1284
    | ~ spl69_1318 ),
    inference(avatar_split_clause,[],[f23638,f23635,f22573,f26091]) ).

fof(f26091,plain,
    ( spl69_1400
  <=> ! [X0] :
        ( tl(app(X0,sK25(sK21))) = app(tl(X0),sK25(sK21))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1400])]) ).

fof(f23635,plain,
    ( spl69_1318
  <=> ! [X0] :
        ( nil = X0
        | tl(app(X0,tl(sK21))) = app(tl(X0),tl(sK21))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1318])]) ).

fof(f23638,plain,
    ( ! [X0] :
        ( tl(app(X0,sK25(sK21))) = app(tl(X0),sK25(sK21))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1318 ),
    inference(forward_demodulation,[],[f23636,f22575]) ).

fof(f23636,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,tl(sK21))) = app(tl(X0),tl(sK21))
        | ~ ssList(X0) )
    | ~ spl69_1318 ),
    inference(avatar_component_clause,[],[f23635]) ).

fof(f25963,plain,
    ( spl69_1399
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1345 ),
    inference(avatar_split_clause,[],[f25379,f23960,f22573,f22544,f25961]) ).

fof(f25961,plain,
    ( spl69_1399
  <=> ! [X0] :
        ( memberP(sK25(sK21),X0)
        | memberP(cons(sK24(sK21),nil),X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1399])]) ).

fof(f23960,plain,
    ( spl69_1345
  <=> ! [X0] :
        ( ~ memberP(sK20,X0)
        | ~ ssItem(X0)
        | memberP(cons(hd(sK21),nil),X0)
        | memberP(tl(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1345])]) ).

fof(f25379,plain,
    ( ! [X0] :
        ( memberP(sK25(sK21),X0)
        | memberP(cons(sK24(sK21),nil),X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1345 ),
    inference(forward_demodulation,[],[f23963,f22575]) ).

fof(f23963,plain,
    ( ! [X0] :
        ( memberP(cons(sK24(sK21),nil),X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0)
        | memberP(tl(sK21),X0) )
    | ~ spl69_1283
    | ~ spl69_1345 ),
    inference(forward_demodulation,[],[f23961,f22546]) ).

fof(f23961,plain,
    ( ! [X0] :
        ( ~ memberP(sK20,X0)
        | ~ ssItem(X0)
        | memberP(cons(hd(sK21),nil),X0)
        | memberP(tl(sK21),X0) )
    | ~ spl69_1345 ),
    inference(avatar_component_clause,[],[f23960]) ).

fof(f25959,plain,
    ( spl69_1398
    | ~ spl69_1283
    | ~ spl69_1347 ),
    inference(avatar_split_clause,[],[f23979,f23976,f22544,f25957]) ).

fof(f25957,plain,
    ( spl69_1398
  <=> ! [X0,X1] :
        ( ~ segmentP(cons(sK24(sK21),nil),X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1398])]) ).

fof(f23979,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(sK24(sK21),nil),X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1347 ),
    inference(forward_demodulation,[],[f23977,f22546]) ).

fof(f25955,plain,
    ( spl69_1397
    | ~ spl69_1283
    | ~ spl69_1317 ),
    inference(avatar_split_clause,[],[f23602,f23599,f22544,f25953]) ).

fof(f25953,plain,
    ( spl69_1397
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,cons(sK24(sK21),nil)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1397])]) ).

fof(f23602,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,cons(sK24(sK21),nil)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1317 ),
    inference(forward_demodulation,[],[f23600,f22546]) ).

fof(f25861,plain,
    ( spl69_1396
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1339 ),
    inference(avatar_split_clause,[],[f25377,f23898,f22573,f22544,f25859]) ).

fof(f25859,plain,
    ( spl69_1396
  <=> ! [X0] :
        ( sK25(sK21) = X0
        | sK20 != app(X0,cons(sK24(sK21),nil))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1396])]) ).

fof(f25377,plain,
    ( ! [X0] :
        ( sK25(sK21) = X0
        | sK20 != app(X0,cons(sK24(sK21),nil))
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23901,f22575]) ).

fof(f23901,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(sK24(sK21),nil))
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_1283
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23899,f22546]) ).

fof(f25857,plain,
    ( spl69_1395
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(avatar_split_clause,[],[f25357,f23923,f22573,f22544,f25855]) ).

fof(f25855,plain,
    ( spl69_1395
  <=> ! [X0] :
        ( cons(sK24(sK21),nil) = X0
        | sK20 != app(sK25(sK21),X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1395])]) ).

fof(f25357,plain,
    ( ! [X0] :
        ( cons(sK24(sK21),nil) = X0
        | sK20 != app(sK25(sK21),X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23926,f22546]) ).

fof(f25797,plain,
    ( spl69_1367
    | spl69_1394
    | ~ spl69_139
    | ~ spl69_176
    | ~ spl69_1284
    | ~ spl69_1294
    | ~ spl69_1296 ),
    inference(avatar_split_clause,[],[f25347,f22911,f22857,f22573,f1893,f1507,f25794,f24430]) ).

fof(f24430,plain,
    ( spl69_1367
  <=> nil = sK25(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1367])]) ).

fof(f25794,plain,
    ( spl69_1394
  <=> sK25(sK21) = cons(sK24(sK25(sK21)),sK25(sK25(sK21))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1394])]) ).

fof(f22857,plain,
    ( spl69_1294
  <=> hd(sK25(sK21)) = sK24(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1294])]) ).

fof(f22911,plain,
    ( spl69_1296
  <=> tl(sK25(sK21)) = sK25(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1296])]) ).

fof(f25347,plain,
    ( sK25(sK21) = cons(sK24(sK25(sK21)),sK25(sK25(sK21)))
    | nil = sK25(sK21)
    | ~ spl69_139
    | ~ spl69_176
    | ~ spl69_1284
    | ~ spl69_1294
    | ~ spl69_1296 ),
    inference(forward_demodulation,[],[f25346,f22859]) ).

fof(f22859,plain,
    ( hd(sK25(sK21)) = sK24(sK25(sK21))
    | ~ spl69_1294 ),
    inference(avatar_component_clause,[],[f22857]) ).

fof(f25346,plain,
    ( sK25(sK21) = cons(hd(sK25(sK21)),sK25(sK25(sK21)))
    | nil = sK25(sK21)
    | ~ spl69_139
    | ~ spl69_176
    | ~ spl69_1284
    | ~ spl69_1296 ),
    inference(forward_demodulation,[],[f25345,f22913]) ).

fof(f22913,plain,
    ( tl(sK25(sK21)) = sK25(sK25(sK21))
    | ~ spl69_1296 ),
    inference(avatar_component_clause,[],[f22911]) ).

fof(f25345,plain,
    ( sK25(sK21) = cons(hd(sK25(sK21)),tl(sK25(sK21)))
    | nil = sK25(sK21)
    | ~ spl69_139
    | ~ spl69_176
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f25344,f22575]) ).

fof(f25344,plain,
    ( nil = sK25(sK21)
    | tl(sK21) = cons(hd(tl(sK21)),tl(tl(sK21)))
    | ~ spl69_139
    | ~ spl69_176
    | ~ spl69_1284 ),
    inference(forward_demodulation,[],[f2597,f22575]) ).

fof(f2597,plain,
    ( nil = tl(sK21)
    | tl(sK21) = cons(hd(tl(sK21)),tl(tl(sK21)))
    | ~ spl69_139
    | ~ spl69_176 ),
    inference(resolution,[],[f1508,f1894]) ).

fof(f25792,plain,
    ( spl69_1393
    | ~ spl69_1283
    | ~ spl69_1344 ),
    inference(avatar_split_clause,[],[f23957,f23954,f22544,f25790]) ).

fof(f25790,plain,
    ( spl69_1393
  <=> ! [X0] :
        ( segmentP(app(sK20,X0),cons(sK24(sK21),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1393])]) ).

fof(f23957,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(sK24(sK21),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1344 ),
    inference(forward_demodulation,[],[f23955,f22546]) ).

fof(f25788,plain,
    ( spl69_1392
    | ~ spl69_1283
    | ~ spl69_1311 ),
    inference(avatar_split_clause,[],[f23435,f23432,f22544,f25786]) ).

fof(f25786,plain,
    ( spl69_1392
  <=> ! [X0] :
        ( cons(sK24(sK21),nil) = tl(cons(X0,cons(sK24(sK21),nil)))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1392])]) ).

fof(f23435,plain,
    ( ! [X0] :
        ( cons(sK24(sK21),nil) = tl(cons(X0,cons(sK24(sK21),nil)))
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1311 ),
    inference(forward_demodulation,[],[f23433,f22546]) ).

fof(f25777,plain,
    ( spl69_1391
    | ~ spl69_1283
    | ~ spl69_1329 ),
    inference(avatar_split_clause,[],[f23739,f23736,f22544,f25775]) ).

fof(f25775,plain,
    ( spl69_1391
  <=> ! [X0] :
        ( ~ rearsegP(cons(sK24(sK21),nil),X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1391])]) ).

fof(f23739,plain,
    ( ! [X0] :
        ( ~ rearsegP(cons(sK24(sK21),nil),X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1329 ),
    inference(forward_demodulation,[],[f23737,f22546]) ).

fof(f25771,plain,
    ( spl69_1390
    | ~ spl69_1283
    | ~ spl69_1328 ),
    inference(avatar_split_clause,[],[f23733,f23730,f22544,f25769]) ).

fof(f25769,plain,
    ( spl69_1390
  <=> ! [X0] :
        ( ~ memberP(cons(sK24(sK21),nil),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1390])]) ).

fof(f23733,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sK24(sK21),nil),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1328 ),
    inference(forward_demodulation,[],[f23731,f22546]) ).

fof(f25711,plain,
    ( spl69_1310
    | ~ spl69_1284
    | ~ spl69_1309 ),
    inference(avatar_split_clause,[],[f25009,f23324,f22573,f23330]) ).

fof(f23330,plain,
    ( spl69_1310
  <=> sK25(sK21) = cons(sK23(sK25(sK21)),sK22(sK25(sK21))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1310])]) ).

fof(f23324,plain,
    ( spl69_1309
  <=> tl(sK21) = cons(sK23(tl(sK21)),sK22(tl(sK21))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1309])]) ).

fof(f25009,plain,
    ( sK25(sK21) = cons(sK23(sK25(sK21)),sK22(sK25(sK21)))
    | ~ spl69_1284
    | ~ spl69_1309 ),
    inference(forward_demodulation,[],[f23326,f22575]) ).

fof(f23326,plain,
    ( tl(sK21) = cons(sK23(tl(sK21)),sK22(tl(sK21)))
    | ~ spl69_1309 ),
    inference(avatar_component_clause,[],[f23324]) ).

fof(f25707,plain,
    ( spl69_1389
    | ~ spl69_1284
    | ~ spl69_1326 ),
    inference(avatar_split_clause,[],[f23719,f23716,f22573,f25705]) ).

fof(f25705,plain,
    ( spl69_1389
  <=> ! [X0] :
        ( ~ frontsegP(sK25(sK21),X0)
        | frontsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1389])]) ).

fof(f23716,plain,
    ( spl69_1326
  <=> ! [X0] :
        ( frontsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ frontsegP(tl(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1326])]) ).

fof(f23719,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK25(sK21),X0)
        | frontsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1326 ),
    inference(forward_demodulation,[],[f23717,f22575]) ).

fof(f23717,plain,
    ( ! [X0] :
        ( frontsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ frontsegP(tl(sK21),X0) )
    | ~ spl69_1326 ),
    inference(avatar_component_clause,[],[f23716]) ).

fof(f25703,plain,
    ( spl69_1388
    | ~ spl69_1284
    | ~ spl69_1325 ),
    inference(avatar_split_clause,[],[f23713,f23710,f22573,f25701]) ).

fof(f25701,plain,
    ( spl69_1388
  <=> ! [X0] :
        ( ~ memberP(sK25(sK21),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1388])]) ).

fof(f23710,plain,
    ( spl69_1325
  <=> ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(tl(sK21),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1325])]) ).

fof(f23713,plain,
    ( ! [X0] :
        ( ~ memberP(sK25(sK21),X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1284
    | ~ spl69_1325 ),
    inference(forward_demodulation,[],[f23711,f22575]) ).

fof(f23711,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(tl(sK21),X0) )
    | ~ spl69_1325 ),
    inference(avatar_component_clause,[],[f23710]) ).

fof(f25698,plain,
    ( spl69_1387
    | ~ spl69_1283
    | ~ spl69_1312 ),
    inference(avatar_split_clause,[],[f24581,f23438,f22544,f25695]) ).

fof(f25695,plain,
    ( spl69_1387
  <=> sK24(sK21) = sK24(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1387])]) ).

fof(f24581,plain,
    ( sK24(sK21) = sK24(cons(sK24(sK21),nil))
    | ~ spl69_1283
    | ~ spl69_1312 ),
    inference(forward_demodulation,[],[f23440,f22546]) ).

fof(f25424,plain,
    ( spl69_1306
    | ~ spl69_1283
    | ~ spl69_1304 ),
    inference(avatar_split_clause,[],[f24585,f23111,f22544,f23123]) ).

fof(f23123,plain,
    ( spl69_1306
  <=> nil = sK25(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1306])]) ).

fof(f24585,plain,
    ( nil = sK25(cons(sK24(sK21),nil))
    | ~ spl69_1283
    | ~ spl69_1304 ),
    inference(forward_demodulation,[],[f23113,f22546]) ).

fof(f25407,plain,
    ( ~ spl69_1305
    | ~ spl69_1283
    | spl69_1303 ),
    inference(avatar_split_clause,[],[f24588,f23107,f22544,f23118]) ).

fof(f23118,plain,
    ( spl69_1305
  <=> nil = cons(sK24(sK21),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1305])]) ).

fof(f24588,plain,
    ( nil != cons(sK24(sK21),nil)
    | ~ spl69_1283
    | spl69_1303 ),
    inference(forward_demodulation,[],[f23108,f22546]) ).

fof(f25406,plain,
    ( spl69_1386
    | ~ spl69_1283
    | ~ spl69_1319 ),
    inference(avatar_split_clause,[],[f23645,f23641,f22544,f25403]) ).

fof(f25403,plain,
    ( spl69_1386
  <=> rearsegP(sK20,cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1386])]) ).

fof(f23645,plain,
    ( rearsegP(sK20,cons(sK24(sK21),nil))
    | ~ spl69_1283
    | ~ spl69_1319 ),
    inference(forward_demodulation,[],[f23643,f22546]) ).

fof(f25385,plain,
    ( spl69_1385
    | ~ spl69_1284
    | ~ spl69_1316 ),
    inference(avatar_split_clause,[],[f23492,f23488,f22573,f25382]) ).

fof(f25382,plain,
    ( spl69_1385
  <=> frontsegP(sK20,sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1385])]) ).

fof(f23488,plain,
    ( spl69_1316
  <=> frontsegP(sK20,tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1316])]) ).

fof(f23492,plain,
    ( frontsegP(sK20,sK25(sK21))
    | ~ spl69_1284
    | ~ spl69_1316 ),
    inference(forward_demodulation,[],[f23490,f22575]) ).

fof(f23490,plain,
    ( frontsegP(sK20,tl(sK21))
    | ~ spl69_1316 ),
    inference(avatar_component_clause,[],[f23488]) ).

fof(f25069,plain,
    ( spl69_1384
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24817,f24430,f24067,f22754,f22573,f22544,f24794]) ).

fof(f24794,plain,
    ( spl69_1384
  <=> ! [X0] :
        ( sK21 != app(app(X0,sK21),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1384])]) ).

fof(f24817,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,sK21),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24816,f24437]) ).

fof(f24437,plain,
    ( sK21 = cons(sK24(sK21),nil)
    | ~ spl69_1289
    | ~ spl69_1367 ),
    inference(superposition,[],[f22756,f24432]) ).

fof(f24432,plain,
    ( nil = sK25(sK21)
    | ~ spl69_1367 ),
    inference(avatar_component_clause,[],[f24430]) ).

fof(f24816,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(sK24(sK21),nil)),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24815,f22546]) ).

fof(f24815,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(hd(sK21),nil)),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24070,f24432]) ).

fof(f25012,plain,
    ( spl69_321
    | ~ spl69_1310
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f25007,f24430,f23330,f3920]) ).

fof(f3920,plain,
    ( spl69_321
  <=> nil = cons(sK23(nil),sK22(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_321])]) ).

fof(f25007,plain,
    ( nil = cons(sK23(nil),sK22(nil))
    | ~ spl69_1310
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23332,f24432]) ).

fof(f23332,plain,
    ( sK25(sK21) = cons(sK23(sK25(sK21)),sK22(sK25(sK21)))
    | ~ spl69_1310 ),
    inference(avatar_component_clause,[],[f23330]) ).

fof(f24802,plain,
    ( ~ spl69_14
    | ~ spl69_244
    | ~ spl69_245
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(avatar_split_clause,[],[f24801,f24794,f2578,f2568,f2563,f711]) ).

fof(f2568,plain,
    ( spl69_245
  <=> sK21 = app(sK21,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_245])]) ).

fof(f2578,plain,
    ( spl69_247
  <=> sK21 = app(nil,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_247])]) ).

fof(f24801,plain,
    ( ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_245
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(trivial_inequality_removal,[],[f24800]) ).

fof(f24800,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_245
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(forward_demodulation,[],[f24799,f2565]) ).

fof(f24799,plain,
    ( sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_245
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(trivial_inequality_removal,[],[f24798]) ).

fof(f24798,plain,
    ( sK21 != sK21
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_245
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(forward_demodulation,[],[f24797,f2570]) ).

fof(f2570,plain,
    ( sK21 = app(sK21,nil)
    | ~ spl69_245 ),
    inference(avatar_component_clause,[],[f2568]) ).

fof(f24797,plain,
    ( sK21 != app(sK21,nil)
    | sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_247
    | ~ spl69_1384 ),
    inference(superposition,[],[f24795,f2580]) ).

fof(f2580,plain,
    ( sK21 = app(nil,sK21)
    | ~ spl69_247 ),
    inference(avatar_component_clause,[],[f2578]) ).

fof(f24795,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,sK21),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1384 ),
    inference(avatar_component_clause,[],[f24794]) ).

fof(f24796,plain,
    ( spl69_1384
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1293
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24540,f24430,f24067,f22850,f22754,f22573,f22544,f24794]) ).

fof(f22850,plain,
    ( spl69_1293
  <=> nil = tl(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1293])]) ).

fof(f24540,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,sK21),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1293
    | ~ spl69_1351
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24072,f24437]) ).

fof(f24072,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(sK24(sK21),nil)),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24071,f22546]) ).

fof(f24071,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,cons(hd(sK21),nil)),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24070,f23335]) ).

fof(f23335,plain,
    ( nil = sK25(sK21)
    | ~ spl69_1284
    | ~ spl69_1293 ),
    inference(superposition,[],[f22852,f22575]) ).

fof(f22852,plain,
    ( nil = tl(sK21)
    | ~ spl69_1293 ),
    inference(avatar_component_clause,[],[f22850]) ).

fof(f24724,plain,
    ( spl69_1383
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1347
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24541,f24430,f23976,f22754,f22544,f24722]) ).

fof(f24722,plain,
    ( spl69_1383
  <=> ! [X0,X1] :
        ( ~ segmentP(sK21,X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1383])]) ).

fof(f24541,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(sK21,X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1347
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23979,f24437]) ).

fof(f24660,plain,
    ( spl69_1382
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1344
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24545,f24430,f23954,f22754,f22544,f24658]) ).

fof(f24658,plain,
    ( spl69_1382
  <=> ! [X0] :
        ( segmentP(app(sK20,X0),sK21)
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1382])]) ).

fof(f24545,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),sK21)
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1344
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23957,f24437]) ).

fof(f24639,plain,
    ( spl69_1381
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1339
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24550,f24430,f23898,f22754,f22573,f22544,f24637]) ).

fof(f24637,plain,
    ( spl69_1381
  <=> ! [X0] :
        ( nil = X0
        | sK20 != app(X0,sK21)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1381])]) ).

fof(f24550,plain,
    ( ! [X0] :
        ( nil = X0
        | sK20 != app(X0,sK21)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1339
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24549,f24432]) ).

fof(f24549,plain,
    ( ! [X0] :
        ( sK25(sK21) = X0
        | sK20 != app(X0,sK21)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1339
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f24548,f22575]) ).

fof(f24548,plain,
    ( ! [X0] :
        ( sK20 != app(X0,sK21)
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1339
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23901,f24437]) ).

fof(f24625,plain,
    ( spl69_1380
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1293
    | ~ spl69_1341
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24547,f24430,f23923,f22850,f22754,f22573,f22544,f24623]) ).

fof(f24623,plain,
    ( spl69_1380
  <=> ! [X0] :
        ( sK21 = X0
        | app(nil,X0) != sK20
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1380])]) ).

fof(f24547,plain,
    ( ! [X0] :
        ( sK21 = X0
        | app(nil,X0) != sK20
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1289
    | ~ spl69_1293
    | ~ spl69_1341
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23928,f24437]) ).

fof(f23928,plain,
    ( ! [X0] :
        ( cons(sK24(sK21),nil) = X0
        | app(nil,X0) != sK20
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23927,f22546]) ).

fof(f23927,plain,
    ( ! [X0] :
        ( app(nil,X0) != sK20
        | ~ ssList(X0)
        | cons(hd(sK21),nil) = X0 )
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23926,f23335]) ).

fof(f24618,plain,
    ( spl69_1379
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1328
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24555,f24430,f23730,f22754,f22544,f24616]) ).

fof(f24616,plain,
    ( spl69_1379
  <=> ! [X0] :
        ( ~ memberP(sK21,X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1379])]) ).

fof(f24555,plain,
    ( ! [X0] :
        ( ~ memberP(sK21,X0)
        | memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1328
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23733,f24437]) ).

fof(f24614,plain,
    ( spl69_1378
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1329
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24554,f24430,f23736,f22754,f22544,f24612]) ).

fof(f24612,plain,
    ( spl69_1378
  <=> ! [X0] :
        ( ~ rearsegP(sK21,X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1378])]) ).

fof(f24554,plain,
    ( ! [X0] :
        ( ~ rearsegP(sK21,X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1329
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23739,f24437]) ).

fof(f24594,plain,
    ( spl69_1377
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1319
    | ~ spl69_1367 ),
    inference(avatar_split_clause,[],[f24557,f24430,f23641,f22754,f22544,f24591]) ).

fof(f24591,plain,
    ( spl69_1377
  <=> rearsegP(sK20,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1377])]) ).

fof(f24557,plain,
    ( rearsegP(sK20,sK21)
    | ~ spl69_1283
    | ~ spl69_1289
    | ~ spl69_1319
    | ~ spl69_1367 ),
    inference(forward_demodulation,[],[f23645,f24437]) ).

fof(f24501,plain,
    ( ~ spl69_1342
    | spl69_6
    | ~ spl69_527
    | ~ spl69_1305 ),
    inference(avatar_split_clause,[],[f23139,f23118,f5222,f671,f23931]) ).

fof(f5222,plain,
    ( spl69_527
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | singletonP(cons(X0,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_527])]) ).

fof(f23139,plain,
    ( singletonP(nil)
    | ~ ssItem(sK24(sK21))
    | ~ spl69_527
    | ~ spl69_1305 ),
    inference(superposition,[],[f5223,f23119]) ).

fof(f23119,plain,
    ( nil = cons(sK24(sK21),nil)
    | ~ spl69_1305 ),
    inference(avatar_component_clause,[],[f23118]) ).

fof(f5223,plain,
    ( ! [X0] :
        ( singletonP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl69_527 ),
    inference(avatar_component_clause,[],[f5222]) ).

fof(f24499,plain,
    ( spl69_1376
    | ~ spl69_1280
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22558,f22544,f22393,f24496]) ).

fof(f24496,plain,
    ( spl69_1376
  <=> sP17(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1376])]) ).

fof(f22393,plain,
    ( spl69_1280
  <=> sP17(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1280])]) ).

fof(f22558,plain,
    ( sP17(cons(sK24(sK21),nil))
    | ~ spl69_1280
    | ~ spl69_1283 ),
    inference(superposition,[],[f22395,f22546]) ).

fof(f22395,plain,
    ( sP17(cons(hd(sK21),nil))
    | ~ spl69_1280 ),
    inference(avatar_component_clause,[],[f22393]) ).

fof(f24493,plain,
    ( spl69_1375
    | ~ spl69_1279
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22557,f22544,f22388,f24490]) ).

fof(f24490,plain,
    ( spl69_1375
  <=> sP15(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1375])]) ).

fof(f22388,plain,
    ( spl69_1279
  <=> sP15(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1279])]) ).

fof(f22557,plain,
    ( sP15(cons(sK24(sK21),nil))
    | ~ spl69_1279
    | ~ spl69_1283 ),
    inference(superposition,[],[f22390,f22546]) ).

fof(f22390,plain,
    ( sP15(cons(hd(sK21),nil))
    | ~ spl69_1279 ),
    inference(avatar_component_clause,[],[f22388]) ).

fof(f24488,plain,
    ( spl69_1374
    | ~ spl69_525
    | ~ spl69_1305
    | ~ spl69_1342 ),
    inference(avatar_split_clause,[],[f24374,f23931,f23118,f5214,f24485]) ).

fof(f24485,plain,
    ( spl69_1374
  <=> nil = tl(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1374])]) ).

fof(f24374,plain,
    ( nil = tl(nil)
    | ~ spl69_525
    | ~ spl69_1305
    | ~ spl69_1342 ),
    inference(forward_demodulation,[],[f24301,f23119]) ).

fof(f24301,plain,
    ( nil = tl(cons(sK24(sK21),nil))
    | ~ spl69_525
    | ~ spl69_1342 ),
    inference(resolution,[],[f23933,f5215]) ).

fof(f24482,plain,
    ( spl69_1373
    | ~ spl69_1278
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22556,f22544,f22383,f24479]) ).

fof(f24479,plain,
    ( spl69_1373
  <=> sP13(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1373])]) ).

fof(f22383,plain,
    ( spl69_1278
  <=> sP13(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1278])]) ).

fof(f22556,plain,
    ( sP13(cons(sK24(sK21),nil))
    | ~ spl69_1278
    | ~ spl69_1283 ),
    inference(superposition,[],[f22385,f22546]) ).

fof(f22385,plain,
    ( sP13(cons(hd(sK21),nil))
    | ~ spl69_1278 ),
    inference(avatar_component_clause,[],[f22383]) ).

fof(f24476,plain,
    ( spl69_1372
    | ~ spl69_1277
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22555,f22544,f22378,f24473]) ).

fof(f24473,plain,
    ( spl69_1372
  <=> sP11(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1372])]) ).

fof(f22378,plain,
    ( spl69_1277
  <=> sP11(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1277])]) ).

fof(f22555,plain,
    ( sP11(cons(sK24(sK21),nil))
    | ~ spl69_1277
    | ~ spl69_1283 ),
    inference(superposition,[],[f22380,f22546]) ).

fof(f22380,plain,
    ( sP11(cons(hd(sK21),nil))
    | ~ spl69_1277 ),
    inference(avatar_component_clause,[],[f22378]) ).

fof(f24470,plain,
    ( spl69_1371
    | ~ spl69_1276
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22554,f22544,f22373,f24467]) ).

fof(f24467,plain,
    ( spl69_1371
  <=> sP9(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1371])]) ).

fof(f22373,plain,
    ( spl69_1276
  <=> sP9(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1276])]) ).

fof(f22554,plain,
    ( sP9(cons(sK24(sK21),nil))
    | ~ spl69_1276
    | ~ spl69_1283 ),
    inference(superposition,[],[f22375,f22546]) ).

fof(f22375,plain,
    ( sP9(cons(hd(sK21),nil))
    | ~ spl69_1276 ),
    inference(avatar_component_clause,[],[f22373]) ).

fof(f24464,plain,
    ( spl69_1370
    | ~ spl69_1275
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22553,f22544,f22368,f24461]) ).

fof(f24461,plain,
    ( spl69_1370
  <=> sP7(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1370])]) ).

fof(f22368,plain,
    ( spl69_1275
  <=> sP7(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1275])]) ).

fof(f22553,plain,
    ( sP7(cons(sK24(sK21),nil))
    | ~ spl69_1275
    | ~ spl69_1283 ),
    inference(superposition,[],[f22370,f22546]) ).

fof(f22370,plain,
    ( sP7(cons(hd(sK21),nil))
    | ~ spl69_1275 ),
    inference(avatar_component_clause,[],[f22368]) ).

fof(f24458,plain,
    ( spl69_1369
    | ~ spl69_1274
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22552,f22544,f22363,f24455]) ).

fof(f24455,plain,
    ( spl69_1369
  <=> sP5(cons(sK24(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1369])]) ).

fof(f22363,plain,
    ( spl69_1274
  <=> sP5(cons(hd(sK21),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1274])]) ).

fof(f22552,plain,
    ( sP5(cons(sK24(sK21),nil))
    | ~ spl69_1274
    | ~ spl69_1283 ),
    inference(superposition,[],[f22365,f22546]) ).

fof(f22365,plain,
    ( sP5(cons(hd(sK21),nil))
    | ~ spl69_1274 ),
    inference(avatar_component_clause,[],[f22363]) ).

fof(f24452,plain,
    ( spl69_1368
    | ~ spl69_140
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22550,f22544,f1511,f24449]) ).

fof(f22550,plain,
    ( ssList(cons(sK24(sK21),nil))
    | ~ spl69_140
    | ~ spl69_1283 ),
    inference(superposition,[],[f1512,f22546]) ).

fof(f24433,plain,
    ( spl69_1367
    | ~ spl69_1284
    | ~ spl69_1293 ),
    inference(avatar_split_clause,[],[f23335,f22850,f22573,f24430]) ).

fof(f24428,plain,
    ( ~ spl69_1366
    | ~ spl69_1305
    | spl69_1306 ),
    inference(avatar_split_clause,[],[f23195,f23123,f23118,f24425]) ).

fof(f24425,plain,
    ( spl69_1366
  <=> nil = sK25(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1366])]) ).

fof(f23195,plain,
    ( nil != sK25(nil)
    | ~ spl69_1305
    | spl69_1306 ),
    inference(superposition,[],[f23124,f23119]) ).

fof(f23124,plain,
    ( nil != sK25(cons(sK24(sK21),nil))
    | spl69_1306 ),
    inference(avatar_component_clause,[],[f23123]) ).

fof(f24291,plain,
    ( spl69_1365
    | ~ spl69_1273
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22586,f22573,f22321,f24288]) ).

fof(f24288,plain,
    ( spl69_1365
  <=> sP17(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1365])]) ).

fof(f22321,plain,
    ( spl69_1273
  <=> sP17(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1273])]) ).

fof(f22586,plain,
    ( sP17(sK25(sK21))
    | ~ spl69_1273
    | ~ spl69_1284 ),
    inference(superposition,[],[f22323,f22575]) ).

fof(f22323,plain,
    ( sP17(tl(sK21))
    | ~ spl69_1273 ),
    inference(avatar_component_clause,[],[f22321]) ).

fof(f24285,plain,
    ( spl69_1364
    | ~ spl69_1272
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22585,f22573,f22316,f24282]) ).

fof(f24282,plain,
    ( spl69_1364
  <=> sP15(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1364])]) ).

fof(f22316,plain,
    ( spl69_1272
  <=> sP15(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1272])]) ).

fof(f22585,plain,
    ( sP15(sK25(sK21))
    | ~ spl69_1272
    | ~ spl69_1284 ),
    inference(superposition,[],[f22318,f22575]) ).

fof(f22318,plain,
    ( sP15(tl(sK21))
    | ~ spl69_1272 ),
    inference(avatar_component_clause,[],[f22316]) ).

fof(f24279,plain,
    ( spl69_1363
    | ~ spl69_1271
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22584,f22573,f22311,f24276]) ).

fof(f24276,plain,
    ( spl69_1363
  <=> sP13(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1363])]) ).

fof(f22311,plain,
    ( spl69_1271
  <=> sP13(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1271])]) ).

fof(f22584,plain,
    ( sP13(sK25(sK21))
    | ~ spl69_1271
    | ~ spl69_1284 ),
    inference(superposition,[],[f22313,f22575]) ).

fof(f22313,plain,
    ( sP13(tl(sK21))
    | ~ spl69_1271 ),
    inference(avatar_component_clause,[],[f22311]) ).

fof(f24273,plain,
    ( spl69_1362
    | ~ spl69_1270
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22583,f22573,f22306,f24270]) ).

fof(f24270,plain,
    ( spl69_1362
  <=> sP11(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1362])]) ).

fof(f22306,plain,
    ( spl69_1270
  <=> sP11(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1270])]) ).

fof(f22583,plain,
    ( sP11(sK25(sK21))
    | ~ spl69_1270
    | ~ spl69_1284 ),
    inference(superposition,[],[f22308,f22575]) ).

fof(f22308,plain,
    ( sP11(tl(sK21))
    | ~ spl69_1270 ),
    inference(avatar_component_clause,[],[f22306]) ).

fof(f24267,plain,
    ( spl69_1361
    | ~ spl69_1269
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22582,f22573,f22301,f24264]) ).

fof(f24264,plain,
    ( spl69_1361
  <=> sP9(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1361])]) ).

fof(f22301,plain,
    ( spl69_1269
  <=> sP9(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1269])]) ).

fof(f22582,plain,
    ( sP9(sK25(sK21))
    | ~ spl69_1269
    | ~ spl69_1284 ),
    inference(superposition,[],[f22303,f22575]) ).

fof(f22303,plain,
    ( sP9(tl(sK21))
    | ~ spl69_1269 ),
    inference(avatar_component_clause,[],[f22301]) ).

fof(f24261,plain,
    ( spl69_1360
    | ~ spl69_1268
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22581,f22573,f22296,f24258]) ).

fof(f24258,plain,
    ( spl69_1360
  <=> sP7(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1360])]) ).

fof(f22296,plain,
    ( spl69_1268
  <=> sP7(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1268])]) ).

fof(f22581,plain,
    ( sP7(sK25(sK21))
    | ~ spl69_1268
    | ~ spl69_1284 ),
    inference(superposition,[],[f22298,f22575]) ).

fof(f22298,plain,
    ( sP7(tl(sK21))
    | ~ spl69_1268 ),
    inference(avatar_component_clause,[],[f22296]) ).

fof(f24216,plain,
    ( spl69_1359
    | ~ spl69_1283
    | ~ spl69_1358 ),
    inference(avatar_split_clause,[],[f24212,f24208,f22544,f24214]) ).

fof(f24214,plain,
    ( spl69_1359
  <=> ! [X0,X1] :
        ( ~ leq(sK24(sK21),X0)
        | ~ leq(X0,sK24(sK21))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1359])]) ).

fof(f24212,plain,
    ( ! [X0,X1] :
        ( ~ leq(sK24(sK21),X0)
        | ~ leq(X0,sK24(sK21))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1358 ),
    inference(forward_demodulation,[],[f24211,f22546]) ).

fof(f24211,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,sK24(sK21))
        | ~ sP12(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ leq(hd(sK21),X0) )
    | ~ spl69_1283
    | ~ spl69_1358 ),
    inference(forward_demodulation,[],[f24209,f22546]) ).

fof(f24210,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1358
    | ~ spl69_138
    | ~ spl69_243 ),
    inference(avatar_split_clause,[],[f22255,f2554,f1503,f24208,f711,f1507,f1515]) ).

fof(f2554,plain,
    ( spl69_243
  <=> ! [X10,X9,X7,X6,X8] :
        ( ~ leq(X7,X6)
        | ~ leq(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_243])]) ).

fof(f22255,plain,
    ( ! [X0,X1] :
        ( ~ sP12(app(sK20,cons(X0,X1)))
        | ~ leq(hd(sK21),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0)
        | ~ ssItem(hd(sK21))
        | ~ leq(X0,hd(sK21)) )
    | ~ spl69_138
    | ~ spl69_243 ),
    inference(superposition,[],[f2555,f1505]) ).

fof(f2555,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10)))
        | ~ leq(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ leq(X7,X6) )
    | ~ spl69_243 ),
    inference(avatar_component_clause,[],[f2554]) ).

fof(f24205,plain,
    ( spl69_1357
    | ~ spl69_248
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22580,f22573,f2604,f24202]) ).

fof(f24202,plain,
    ( spl69_1357
  <=> sP5(sK25(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1357])]) ).

fof(f2604,plain,
    ( spl69_248
  <=> sP5(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_248])]) ).

fof(f22580,plain,
    ( sP5(sK25(sK21))
    | ~ spl69_248
    | ~ spl69_1284 ),
    inference(superposition,[],[f2606,f22575]) ).

fof(f2606,plain,
    ( sP5(tl(sK21))
    | ~ spl69_248 ),
    inference(avatar_component_clause,[],[f2604]) ).

fof(f24160,plain,
    ( spl69_1356
    | ~ spl69_1283
    | ~ spl69_1355 ),
    inference(avatar_split_clause,[],[f24156,f24152,f22544,f24158]) ).

fof(f24158,plain,
    ( spl69_1356
  <=> ! [X0,X1] :
        ( lt(sK24(sK21),X0)
        | lt(X0,sK24(sK21))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1356])]) ).

fof(f24156,plain,
    ( ! [X0,X1] :
        ( lt(sK24(sK21),X0)
        | lt(X0,sK24(sK21))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1355 ),
    inference(forward_demodulation,[],[f24155,f22546]) ).

fof(f24155,plain,
    ( ! [X0,X1] :
        ( lt(X0,sK24(sK21))
        | ~ sP10(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | lt(hd(sK21),X0) )
    | ~ spl69_1283
    | ~ spl69_1355 ),
    inference(forward_demodulation,[],[f24153,f22546]) ).

fof(f24154,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1355
    | ~ spl69_138
    | ~ spl69_242 ),
    inference(avatar_split_clause,[],[f22254,f2550,f1503,f24152,f711,f1507,f1515]) ).

fof(f2550,plain,
    ( spl69_242
  <=> ! [X10,X9,X7,X6,X8] :
        ( lt(X7,X6)
        | lt(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_242])]) ).

fof(f22254,plain,
    ( ! [X0,X1] :
        ( ~ sP10(app(sK20,cons(X0,X1)))
        | lt(hd(sK21),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0)
        | ~ ssItem(hd(sK21))
        | lt(X0,hd(sK21)) )
    | ~ spl69_138
    | ~ spl69_242 ),
    inference(superposition,[],[f2551,f1505]) ).

fof(f2551,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10)))
        | lt(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | lt(X7,X6) )
    | ~ spl69_242 ),
    inference(avatar_component_clause,[],[f2550]) ).

fof(f24111,plain,
    ( spl69_1354
    | ~ spl69_1283
    | ~ spl69_1353 ),
    inference(avatar_split_clause,[],[f24107,f24103,f22544,f24109]) ).

fof(f24109,plain,
    ( spl69_1354
  <=> ! [X0,X1] :
        ( leq(sK24(sK21),X0)
        | leq(X0,sK24(sK21))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1354])]) ).

fof(f24107,plain,
    ( ! [X0,X1] :
        ( leq(sK24(sK21),X0)
        | leq(X0,sK24(sK21))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1353 ),
    inference(forward_demodulation,[],[f24106,f22546]) ).

fof(f24106,plain,
    ( ! [X0,X1] :
        ( leq(X0,sK24(sK21))
        | ~ sP8(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(hd(sK21),X0) )
    | ~ spl69_1283
    | ~ spl69_1353 ),
    inference(forward_demodulation,[],[f24104,f22546]) ).

fof(f24105,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1353
    | ~ spl69_138
    | ~ spl69_241 ),
    inference(avatar_split_clause,[],[f22253,f2546,f1503,f24103,f711,f1507,f1515]) ).

fof(f2546,plain,
    ( spl69_241
  <=> ! [X10,X9,X7,X6,X8] :
        ( leq(X7,X6)
        | leq(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_241])]) ).

fof(f22253,plain,
    ( ! [X0,X1] :
        ( ~ sP8(app(sK20,cons(X0,X1)))
        | leq(hd(sK21),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0)
        | ~ ssItem(hd(sK21))
        | leq(X0,hd(sK21)) )
    | ~ spl69_138
    | ~ spl69_241 ),
    inference(superposition,[],[f2547,f1505]) ).

fof(f2547,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10)))
        | leq(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | leq(X7,X6) )
    | ~ spl69_241 ),
    inference(avatar_component_clause,[],[f2546]) ).

fof(f24077,plain,
    ( spl69_1352
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1351 ),
    inference(avatar_split_clause,[],[f24073,f24067,f23118,f22850,f22573,f22544,f24075]) ).

fof(f24073,plain,
    ( ! [X0] :
        ( sK21 != app(app(X0,nil),nil)
        | sK20 != app(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1351 ),
    inference(forward_demodulation,[],[f24072,f23119]) ).

fof(f24069,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | spl69_1351
    | ~ spl69_82
    | ~ spl69_138 ),
    inference(avatar_split_clause,[],[f22248,f1503,f1157,f24067,f1507,f1515]) ).

fof(f22248,plain,
    ( ! [X0] :
        ( sK20 != app(sK20,X0)
        | sK21 != app(app(X0,cons(hd(sK21),nil)),tl(sK21))
        | ~ ssList(tl(sK21))
        | ~ ssList(X0)
        | ~ ssItem(hd(sK21)) )
    | ~ spl69_82
    | ~ spl69_138 ),
    inference(superposition,[],[f1158,f1505]) ).

fof(f24061,plain,
    ( spl69_1350
    | ~ spl69_139
    | ~ spl69_1284 ),
    inference(avatar_split_clause,[],[f22579,f22573,f1507,f24058]) ).

fof(f22579,plain,
    ( ssList(sK25(sK21))
    | ~ spl69_139
    | ~ spl69_1284 ),
    inference(superposition,[],[f1508,f22575]) ).

fof(f24056,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | spl69_1349
    | ~ spl69_82
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3128,f3124,f1157,f24054,f3555,f3444]) ).

fof(f24054,plain,
    ( spl69_1349
  <=> ! [X0] :
        ( sK20 != app(sK20,X0)
        | ~ ssList(X0)
        | sK21 != app(app(X0,cons(sK24(sK20),nil)),sK25(sK20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1349])]) ).

fof(f3128,plain,
    ( ! [X0] :
        ( sK20 != app(sK20,X0)
        | sK21 != app(app(X0,cons(sK24(sK20),nil)),sK25(sK20))
        | ~ ssList(sK25(sK20))
        | ~ ssList(X0)
        | ~ ssItem(sK24(sK20)) )
    | ~ spl69_82
    | ~ spl69_275 ),
    inference(superposition,[],[f1158,f3126]) ).

fof(f3126,plain,
    ( sK20 = app(sK25(sK20),cons(sK24(sK20),nil))
    | ~ spl69_275 ),
    inference(avatar_component_clause,[],[f3124]) ).

fof(f23984,plain,
    ( spl69_1348
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1347 ),
    inference(avatar_split_clause,[],[f23980,f23976,f23118,f22544,f23982]) ).

fof(f23982,plain,
    ( spl69_1348
  <=> ! [X0,X1] :
        ( ~ segmentP(nil,X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1348])]) ).

fof(f23980,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(nil,X1)
        | segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1347 ),
    inference(forward_demodulation,[],[f23979,f23119]) ).

fof(f23978,plain,
    ( ~ spl69_140
    | ~ spl69_139
    | spl69_1347
    | ~ spl69_138
    | ~ spl69_231 ),
    inference(avatar_split_clause,[],[f22271,f2455,f1503,f23976,f1507,f1511]) ).

fof(f2455,plain,
    ( spl69_231
  <=> ! [X0,X3,X2,X1] :
        ( segmentP(app(app(X2,X0),X3),X1)
        | ~ segmentP(X0,X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_231])]) ).

fof(f22271,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sK20,X0),X1)
        | ~ segmentP(cons(hd(sK21),nil),X1)
        | ~ ssList(X0)
        | ~ ssList(tl(sK21))
        | ~ ssList(X1)
        | ~ ssList(cons(hd(sK21),nil)) )
    | ~ spl69_138
    | ~ spl69_231 ),
    inference(superposition,[],[f2456,f1505]) ).

fof(f2456,plain,
    ( ! [X2,X3,X0,X1] :
        ( segmentP(app(app(X2,X0),X3),X1)
        | ~ segmentP(X0,X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_231 ),
    inference(avatar_component_clause,[],[f2455]) ).

fof(f23971,plain,
    ( spl69_1346
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1345 ),
    inference(avatar_split_clause,[],[f23967,f23960,f23118,f22850,f22573,f22544,f23969]) ).

fof(f23969,plain,
    ( spl69_1346
  <=> ! [X0] :
        ( memberP(nil,X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1346])]) ).

fof(f23967,plain,
    ( ! [X0] :
        ( memberP(nil,X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1345 ),
    inference(duplicate_literal_removal,[],[f23966]) ).

fof(f23966,plain,
    ( ! [X0] :
        ( memberP(nil,X0)
        | memberP(nil,X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1345 ),
    inference(forward_demodulation,[],[f23965,f23335]) ).

fof(f23965,plain,
    ( ! [X0] :
        ( memberP(sK25(sK21),X0)
        | memberP(nil,X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1305
    | ~ spl69_1345 ),
    inference(forward_demodulation,[],[f23964,f22575]) ).

fof(f23964,plain,
    ( ! [X0] :
        ( memberP(nil,X0)
        | ~ memberP(sK20,X0)
        | ~ ssItem(X0)
        | memberP(tl(sK21),X0) )
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1345 ),
    inference(forward_demodulation,[],[f23963,f23119]) ).

fof(f23962,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_1345
    | ~ spl69_138
    | ~ spl69_214 ),
    inference(avatar_split_clause,[],[f22270,f2310,f1503,f23960,f1511,f1507]) ).

fof(f2310,plain,
    ( spl69_214
  <=> ! [X2,X0,X1] :
        ( memberP(X2,X0)
        | memberP(X1,X0)
        | ~ memberP(app(X1,X2),X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_214])]) ).

fof(f22270,plain,
    ( ! [X0] :
        ( ~ memberP(sK20,X0)
        | memberP(tl(sK21),X0)
        | memberP(cons(hd(sK21),nil),X0)
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0) )
    | ~ spl69_138
    | ~ spl69_214 ),
    inference(superposition,[],[f2311,f1505]) ).

fof(f2311,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(app(X1,X2),X0)
        | memberP(X1,X0)
        | memberP(X2,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl69_214 ),
    inference(avatar_component_clause,[],[f2310]) ).

fof(f23956,plain,
    ( ~ spl69_140
    | ~ spl69_139
    | spl69_1344
    | ~ spl69_138
    | ~ spl69_237 ),
    inference(avatar_split_clause,[],[f22272,f2515,f1503,f23954,f1507,f1511]) ).

fof(f2515,plain,
    ( spl69_237
  <=> ! [X2,X1,X3] :
        ( segmentP(app(app(X2,X1),X3),X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(app(X2,X1),X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_237])]) ).

fof(f22272,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(hd(sK21),nil))
        | ~ ssList(X0)
        | ~ ssList(tl(sK21))
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(app(sK20,X0)) )
    | ~ spl69_138
    | ~ spl69_237 ),
    inference(superposition,[],[f2516,f1505]) ).

fof(f2516,plain,
    ( ! [X2,X3,X1] :
        ( segmentP(app(app(X2,X1),X3),X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(app(X2,X1),X3)) )
    | ~ spl69_237 ),
    inference(avatar_component_clause,[],[f2515]) ).

fof(f23938,plain,
    ( spl69_1343
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1341 ),
    inference(avatar_split_clause,[],[f23929,f23923,f23118,f22850,f22573,f22544,f23936]) ).

fof(f23936,plain,
    ( spl69_1343
  <=> ! [X0] :
        ( nil = X0
        | app(nil,X0) != sK20
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1343])]) ).

fof(f23929,plain,
    ( ! [X0] :
        ( nil = X0
        | app(nil,X0) != sK20
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1341 ),
    inference(forward_demodulation,[],[f23928,f23119]) ).

fof(f23934,plain,
    ( spl69_1342
    | ~ spl69_141
    | ~ spl69_1283 ),
    inference(avatar_split_clause,[],[f22551,f22544,f1515,f23931]) ).

fof(f22551,plain,
    ( ssItem(sK24(sK21))
    | ~ spl69_141
    | ~ spl69_1283 ),
    inference(superposition,[],[f1516,f22546]) ).

fof(f1516,plain,
    ( ssItem(hd(sK21))
    | ~ spl69_141 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f23925,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_1341
    | ~ spl69_138
    | ~ spl69_211 ),
    inference(avatar_split_clause,[],[f22268,f2257,f1503,f23923,f1511,f1507]) ).

fof(f2257,plain,
    ( spl69_211
  <=> ! [X2,X0,X1] :
        ( X0 = X2
        | app(X1,X2) != app(X1,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_211])]) ).

fof(f22268,plain,
    ( ! [X0] :
        ( sK20 != app(tl(sK21),X0)
        | cons(hd(sK21),nil) = X0
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(tl(sK21))
        | ~ ssList(X0) )
    | ~ spl69_138
    | ~ spl69_211 ),
    inference(superposition,[],[f2258,f1505]) ).

fof(f2258,plain,
    ( ! [X2,X0,X1] :
        ( app(X1,X2) != app(X1,X0)
        | X0 = X2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_211 ),
    inference(avatar_component_clause,[],[f2257]) ).

fof(f23908,plain,
    ( spl69_1340
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1339 ),
    inference(avatar_split_clause,[],[f23904,f23898,f23118,f22850,f22573,f22544,f23906]) ).

fof(f23906,plain,
    ( spl69_1340
  <=> ! [X0] :
        ( nil = X0
        | app(X0,nil) != sK20
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1340])]) ).

fof(f23904,plain,
    ( ! [X0] :
        ( nil = X0
        | app(X0,nil) != sK20
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1305
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23903,f23335]) ).

fof(f23903,plain,
    ( ! [X0] :
        ( sK25(sK21) = X0
        | app(X0,nil) != sK20
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1305
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23902,f22575]) ).

fof(f23902,plain,
    ( ! [X0] :
        ( app(X0,nil) != sK20
        | ~ ssList(X0)
        | tl(sK21) = X0 )
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1339 ),
    inference(forward_demodulation,[],[f23901,f23119]) ).

fof(f23900,plain,
    ( ~ spl69_140
    | ~ spl69_139
    | spl69_1339
    | ~ spl69_138
    | ~ spl69_210 ),
    inference(avatar_split_clause,[],[f22266,f2253,f1503,f23898,f1507,f1511]) ).

fof(f2253,plain,
    ( spl69_210
  <=> ! [X2,X0,X1] :
        ( X0 = X2
        | app(X2,X1) != app(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_210])]) ).

fof(f22266,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(hd(sK21),nil))
        | tl(sK21) = X0
        | ~ ssList(tl(sK21))
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(X0) )
    | ~ spl69_138
    | ~ spl69_210 ),
    inference(superposition,[],[f2254,f1505]) ).

fof(f2254,plain,
    ( ! [X2,X0,X1] :
        ( app(X2,X1) != app(X0,X1)
        | X0 = X2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_210 ),
    inference(avatar_component_clause,[],[f2253]) ).

fof(f23858,plain,
    ( spl69_1338
    | ~ spl69_1283
    | ~ spl69_1337 ),
    inference(avatar_split_clause,[],[f23854,f23851,f22544,f23856]) ).

fof(f23856,plain,
    ( spl69_1338
  <=> ! [X0,X1] :
        ( lt(sK24(sK21),X0)
        | ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1338])]) ).

fof(f23854,plain,
    ( ! [X0,X1] :
        ( lt(sK24(sK21),X0)
        | ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1337 ),
    inference(forward_demodulation,[],[f23852,f22546]) ).

fof(f23853,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1337
    | ~ spl69_138
    | ~ spl69_240 ),
    inference(avatar_split_clause,[],[f22252,f2538,f1503,f23851,f711,f1507,f1515]) ).

fof(f2538,plain,
    ( spl69_240
  <=> ! [X10,X9,X7,X6,X8] :
        ( lt(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_240])]) ).

fof(f22252,plain,
    ( ! [X0,X1] :
        ( ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0)
        | ~ ssItem(hd(sK21))
        | lt(hd(sK21),X0) )
    | ~ spl69_138
    | ~ spl69_240 ),
    inference(superposition,[],[f2539,f1505]) ).

fof(f2539,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10)))
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | lt(X6,X7) )
    | ~ spl69_240 ),
    inference(avatar_component_clause,[],[f2538]) ).

fof(f23812,plain,
    ( spl69_1336
    | ~ spl69_1283
    | ~ spl69_1335 ),
    inference(avatar_split_clause,[],[f23808,f23805,f22544,f23810]) ).

fof(f23810,plain,
    ( spl69_1336
  <=> ! [X0,X1] :
        ( leq(sK24(sK21),X0)
        | ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1336])]) ).

fof(f23808,plain,
    ( ! [X0,X1] :
        ( leq(sK24(sK21),X0)
        | ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_1283
    | ~ spl69_1335 ),
    inference(forward_demodulation,[],[f23806,f22546]) ).

fof(f23807,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1335
    | ~ spl69_138
    | ~ spl69_239 ),
    inference(avatar_split_clause,[],[f22251,f2534,f1503,f23805,f711,f1507,f1515]) ).

fof(f2534,plain,
    ( spl69_239
  <=> ! [X10,X9,X7,X6,X8] :
        ( leq(X6,X7)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_239])]) ).

fof(f22251,plain,
    ( ! [X0,X1] :
        ( ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0)
        | ~ ssItem(hd(sK21))
        | leq(hd(sK21),X0) )
    | ~ spl69_138
    | ~ spl69_239 ),
    inference(superposition,[],[f2535,f1505]) ).

fof(f2535,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10)))
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssItem(X6)
        | leq(X6,X7) )
    | ~ spl69_239 ),
    inference(avatar_component_clause,[],[f2534]) ).

fof(f23771,plain,
    ( spl69_1334
    | spl69_1303
    | ~ spl69_140
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f21498,f1889,f1511,f23107,f23768]) ).

fof(f1889,plain,
    ( spl69_175
  <=> ! [X0] :
        ( cons(sK23(X0),sK22(X0)) = X0
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_175])]) ).

fof(f21498,plain,
    ( nil = cons(hd(sK21),nil)
    | cons(hd(sK21),nil) = cons(sK23(cons(hd(sK21),nil)),sK22(cons(hd(sK21),nil)))
    | ~ spl69_140
    | ~ spl69_175 ),
    inference(resolution,[],[f1512,f1890]) ).

fof(f1890,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | cons(sK23(X0),sK22(X0)) = X0 )
    | ~ spl69_175 ),
    inference(avatar_component_clause,[],[f1889]) ).

fof(f23764,plain,
    ( spl69_1333
    | ~ spl69_140
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f21504,f2327,f1511,f23762]) ).

fof(f2327,plain,
    ( spl69_218
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_218])]) ).

fof(f21504,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),cons(hd(sK21),nil)) = app(X0,app(X1,cons(hd(sK21),nil)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_140
    | ~ spl69_218 ),
    inference(resolution,[],[f1512,f2328]) ).

fof(f2328,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X2)
        | app(app(X0,X1),X2) = app(X0,app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_218 ),
    inference(avatar_component_clause,[],[f2327]) ).

fof(f23758,plain,
    ( spl69_1332
    | ~ spl69_140
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f21503,f2314,f1511,f23756]) ).

fof(f2314,plain,
    ( spl69_215
  <=> ! [X2,X0,X1] :
        ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
        | ~ ssItem(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_215])]) ).

fof(f21503,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(cons(hd(sK21),nil),X1)) = app(cons(X0,cons(hd(sK21),nil)),X1)
        | ~ ssList(X1) )
    | ~ spl69_140
    | ~ spl69_215 ),
    inference(resolution,[],[f1512,f2315]) ).

fof(f2315,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(X2)
        | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
        | ~ ssList(X0) )
    | ~ spl69_215 ),
    inference(avatar_component_clause,[],[f2314]) ).

fof(f23752,plain,
    ( spl69_1331
    | ~ spl69_140
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f21502,f2248,f1511,f23750]) ).

fof(f21502,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,cons(hd(sK21),nil))) = app(tl(X0),cons(hd(sK21),nil))
        | ~ ssList(X0) )
    | ~ spl69_140
    | ~ spl69_209 ),
    inference(resolution,[],[f1512,f2249]) ).

fof(f23744,plain,
    ( spl69_1330
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1329 ),
    inference(avatar_split_clause,[],[f23740,f23736,f23118,f22544,f23742]) ).

fof(f23742,plain,
    ( spl69_1330
  <=> ! [X0] :
        ( ~ rearsegP(nil,X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1330])]) ).

fof(f23740,plain,
    ( ! [X0] :
        ( ~ rearsegP(nil,X0)
        | rearsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1305
    | ~ spl69_1329 ),
    inference(forward_demodulation,[],[f23739,f23119]) ).

fof(f23738,plain,
    ( ~ spl69_140
    | ~ spl69_139
    | spl69_1329
    | ~ spl69_138
    | ~ spl69_196 ),
    inference(avatar_split_clause,[],[f22264,f2111,f1503,f23736,f1507,f1511]) ).

fof(f2111,plain,
    ( spl69_196
  <=> ! [X2,X0,X1] :
        ( rearsegP(app(X2,X0),X1)
        | ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_196])]) ).

fof(f22264,plain,
    ( ! [X0] :
        ( rearsegP(sK20,X0)
        | ~ rearsegP(cons(hd(sK21),nil),X0)
        | ~ ssList(tl(sK21))
        | ~ ssList(X0)
        | ~ ssList(cons(hd(sK21),nil)) )
    | ~ spl69_138
    | ~ spl69_196 ),
    inference(superposition,[],[f2112,f1505]) ).

fof(f2112,plain,
    ( ! [X2,X0,X1] :
        ( rearsegP(app(X2,X0),X1)
        | ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_196 ),
    inference(avatar_component_clause,[],[f2111]) ).

fof(f23732,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_1328
    | ~ spl69_138
    | ~ spl69_192 ),
    inference(avatar_split_clause,[],[f22263,f2095,f1503,f23730,f1511,f1507]) ).

fof(f2095,plain,
    ( spl69_192
  <=> ! [X2,X0,X1] :
        ( memberP(app(X1,X2),X0)
        | ~ memberP(X2,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_192])]) ).

fof(f22263,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ memberP(cons(hd(sK21),nil),X0)
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0) )
    | ~ spl69_138
    | ~ spl69_192 ),
    inference(superposition,[],[f2096,f1505]) ).

fof(f2096,plain,
    ( ! [X2,X0,X1] :
        ( memberP(app(X1,X2),X0)
        | ~ memberP(X2,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl69_192 ),
    inference(avatar_component_clause,[],[f2095]) ).

fof(f23724,plain,
    ( spl69_1327
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1326 ),
    inference(avatar_split_clause,[],[f23720,f23716,f22850,f22573,f23722]) ).

fof(f23722,plain,
    ( spl69_1327
  <=> ! [X0] :
        ( ~ frontsegP(nil,X0)
        | frontsegP(sK20,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1327])]) ).

fof(f23720,plain,
    ( ! [X0] :
        ( ~ frontsegP(nil,X0)
        | frontsegP(sK20,X0)
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1293
    | ~ spl69_1326 ),
    inference(forward_demodulation,[],[f23719,f23335]) ).

fof(f23718,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_1326
    | ~ spl69_138
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f22265,f2115,f1503,f23716,f1511,f1507]) ).

fof(f2115,plain,
    ( spl69_197
  <=> ! [X2,X0,X1] :
        ( frontsegP(app(X0,X2),X1)
        | ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_197])]) ).

fof(f22265,plain,
    ( ! [X0] :
        ( frontsegP(sK20,X0)
        | ~ frontsegP(tl(sK21),X0)
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(X0)
        | ~ ssList(tl(sK21)) )
    | ~ spl69_138
    | ~ spl69_197 ),
    inference(superposition,[],[f2116,f1505]) ).

fof(f2116,plain,
    ( ! [X2,X0,X1] :
        ( frontsegP(app(X0,X2),X1)
        | ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_197 ),
    inference(avatar_component_clause,[],[f2115]) ).

fof(f23712,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_1325
    | ~ spl69_138
    | ~ spl69_191 ),
    inference(avatar_split_clause,[],[f22262,f2091,f1503,f23710,f1511,f1507]) ).

fof(f2091,plain,
    ( spl69_191
  <=> ! [X2,X0,X1] :
        ( memberP(app(X1,X2),X0)
        | ~ memberP(X1,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_191])]) ).

fof(f22262,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ memberP(tl(sK21),X0)
        | ~ ssList(cons(hd(sK21),nil))
        | ~ ssList(tl(sK21))
        | ~ ssItem(X0) )
    | ~ spl69_138
    | ~ spl69_191 ),
    inference(superposition,[],[f2092,f1505]) ).

fof(f2092,plain,
    ( ! [X2,X0,X1] :
        ( memberP(app(X1,X2),X0)
        | ~ memberP(X1,X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl69_191 ),
    inference(avatar_component_clause,[],[f2091]) ).

fof(f23673,plain,
    ( spl69_1324
    | ~ spl69_1283
    | ~ spl69_1323 ),
    inference(avatar_split_clause,[],[f23669,f23666,f22544,f23671]) ).

fof(f23671,plain,
    ( spl69_1324
  <=> ! [X0] :
        ( ~ sP6(app(sK20,cons(sK24(sK21),X0)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1324])]) ).

fof(f23669,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(sK24(sK21),X0)))
        | ~ ssList(X0) )
    | ~ spl69_1283
    | ~ spl69_1323 ),
    inference(forward_demodulation,[],[f23667,f22546]) ).

fof(f23668,plain,
    ( ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1323
    | ~ spl69_138
    | ~ spl69_232 ),
    inference(avatar_split_clause,[],[f22249,f2459,f1503,f23666,f711,f1507,f1515]) ).

fof(f2459,plain,
    ( spl69_232
  <=> ! [X10,X7,X9,X8] :
        ( ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_232])]) ).

fof(f22249,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(hd(sK21),X0)))
        | ~ ssList(nil)
        | ~ ssList(tl(sK21))
        | ~ ssItem(hd(sK21))
        | ~ ssList(X0) )
    | ~ spl69_138
    | ~ spl69_232 ),
    inference(superposition,[],[f2460,f1505]) ).

fof(f2460,plain,
    ( ! [X10,X8,X9,X7] :
        ( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
        | ~ ssList(X9)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssList(X10) )
    | ~ spl69_232 ),
    inference(avatar_component_clause,[],[f2459]) ).

fof(f23662,plain,
    ( spl69_1322
    | ~ spl69_140
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f21500,f2001,f1511,f23660]) ).

fof(f2001,plain,
    ( spl69_184
  <=> ! [X0,X1] :
        ( cons(X1,X0) = app(cons(X1,nil),X0)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_184])]) ).

fof(f21500,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,cons(hd(sK21),nil)) = app(cons(X0,nil),cons(hd(sK21),nil)) )
    | ~ spl69_140
    | ~ spl69_184 ),
    inference(resolution,[],[f1512,f2002]) ).

fof(f2002,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | cons(X1,X0) = app(cons(X1,nil),X0) )
    | ~ spl69_184 ),
    inference(avatar_component_clause,[],[f2001]) ).

fof(f23656,plain,
    ( spl69_1321
    | ~ spl69_139
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2602,f2327,f1507,f23654]) ).

fof(f2602,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),tl(sK21)) = app(X0,app(X1,tl(sK21)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_139
    | ~ spl69_218 ),
    inference(resolution,[],[f1508,f2328]) ).

fof(f23650,plain,
    ( spl69_1320
    | ~ spl69_139
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2601,f2314,f1507,f23648]) ).

fof(f2601,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(tl(sK21),X1)) = app(cons(X0,tl(sK21)),X1)
        | ~ ssList(X1) )
    | ~ spl69_139
    | ~ spl69_215 ),
    inference(resolution,[],[f1508,f2315]) ).

fof(f23644,plain,
    ( ~ spl69_1
    | ~ spl69_140
    | ~ spl69_139
    | spl69_1319
    | ~ spl69_138
    | ~ spl69_188 ),
    inference(avatar_split_clause,[],[f22260,f2017,f1503,f23641,f1507,f1511,f647]) ).

fof(f2017,plain,
    ( spl69_188
  <=> ! [X2,X1] :
        ( rearsegP(app(X2,X1),X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_188])]) ).

fof(f22260,plain,
    ( rearsegP(sK20,cons(hd(sK21),nil))
    | ~ ssList(tl(sK21))
    | ~ ssList(cons(hd(sK21),nil))
    | ~ ssList(sK20)
    | ~ spl69_138
    | ~ spl69_188 ),
    inference(superposition,[],[f2018,f1505]) ).

fof(f2018,plain,
    ( ! [X2,X1] :
        ( rearsegP(app(X2,X1),X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1)) )
    | ~ spl69_188 ),
    inference(avatar_component_clause,[],[f2017]) ).

fof(f23637,plain,
    ( spl69_1318
    | ~ spl69_139
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2600,f2248,f1507,f23635]) ).

fof(f23601,plain,
    ( spl69_1317
    | ~ spl69_140
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f21501,f2099,f1511,f23599]) ).

fof(f21501,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,cons(hd(sK21),nil)))
        | ~ ssList(X0) )
    | ~ spl69_140
    | ~ spl69_193 ),
    inference(resolution,[],[f1512,f2100]) ).

fof(f23491,plain,
    ( ~ spl69_1
    | ~ spl69_139
    | ~ spl69_140
    | spl69_1316
    | ~ spl69_138
    | ~ spl69_189 ),
    inference(avatar_split_clause,[],[f22261,f2021,f1503,f23488,f1511,f1507,f647]) ).

fof(f2021,plain,
    ( spl69_189
  <=> ! [X2,X1] :
        ( frontsegP(app(X1,X2),X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_189])]) ).

fof(f22261,plain,
    ( frontsegP(sK20,tl(sK21))
    | ~ ssList(cons(hd(sK21),nil))
    | ~ ssList(tl(sK21))
    | ~ ssList(sK20)
    | ~ spl69_138
    | ~ spl69_189 ),
    inference(superposition,[],[f2022,f1505]) ).

fof(f2022,plain,
    ( ! [X2,X1] :
        ( frontsegP(app(X1,X2),X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2)) )
    | ~ spl69_189 ),
    inference(avatar_component_clause,[],[f2021]) ).

fof(f23459,plain,
    ( spl69_1315
    | ~ spl69_1283
    | ~ spl69_1314 ),
    inference(avatar_split_clause,[],[f23454,f23450,f22544,f23456]) ).

fof(f23456,plain,
    ( spl69_1315
  <=> memberP(sK20,sK24(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1315])]) ).

fof(f23454,plain,
    ( memberP(sK20,sK24(sK21))
    | ~ spl69_1283
    | ~ spl69_1314 ),
    inference(forward_demodulation,[],[f23452,f22546]) ).

fof(f23453,plain,
    ( ~ spl69_1
    | ~ spl69_141
    | ~ spl69_139
    | ~ spl69_14
    | spl69_1314
    | ~ spl69_138
    | ~ spl69_236 ),
    inference(avatar_split_clause,[],[f22250,f2511,f1503,f23450,f711,f1507,f1515,f647]) ).

fof(f2511,plain,
    ( spl69_236
  <=> ! [X2,X1,X3] :
        ( memberP(app(X2,cons(X1,X3)),X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssList(app(X2,cons(X1,X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_236])]) ).

fof(f22250,plain,
    ( memberP(sK20,hd(sK21))
    | ~ ssList(nil)
    | ~ ssList(tl(sK21))
    | ~ ssItem(hd(sK21))
    | ~ ssList(sK20)
    | ~ spl69_138
    | ~ spl69_236 ),
    inference(superposition,[],[f2512,f1505]) ).

fof(f2512,plain,
    ( ! [X2,X3,X1] :
        ( memberP(app(X2,cons(X1,X3)),X1)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssList(app(X2,cons(X1,X3))) )
    | ~ spl69_236 ),
    inference(avatar_component_clause,[],[f2511]) ).

fof(f23448,plain,
    ( ~ spl69_1313
    | ~ spl69_1283
    | ~ spl69_1305
    | spl69_1312 ),
    inference(avatar_split_clause,[],[f23443,f23438,f23118,f22544,f23445]) ).

fof(f23443,plain,
    ( sK24(nil) != sK24(sK21)
    | ~ spl69_1283
    | ~ spl69_1305
    | spl69_1312 ),
    inference(forward_demodulation,[],[f23442,f23119]) ).

fof(f23442,plain,
    ( sK24(sK21) != sK24(cons(sK24(sK21),nil))
    | ~ spl69_1283
    | spl69_1312 ),
    inference(forward_demodulation,[],[f23439,f22546]) ).

fof(f23439,plain,
    ( hd(sK21) != sK24(cons(hd(sK21),nil))
    | spl69_1312 ),
    inference(avatar_component_clause,[],[f23438]) ).

fof(f23441,plain,
    ( spl69_1303
    | spl69_1312
    | ~ spl69_140
    | ~ spl69_141
    | ~ spl69_160
    | ~ spl69_526 ),
    inference(avatar_split_clause,[],[f21673,f5218,f1602,f1515,f1511,f23438,f23107]) ).

fof(f1602,plain,
    ( spl69_160
  <=> ! [X0] :
        ( hd(X0) = sK24(X0)
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_160])]) ).

fof(f21673,plain,
    ( hd(sK21) = sK24(cons(hd(sK21),nil))
    | nil = cons(hd(sK21),nil)
    | ~ spl69_140
    | ~ spl69_141
    | ~ spl69_160
    | ~ spl69_526 ),
    inference(forward_demodulation,[],[f21494,f21421]) ).

fof(f21421,plain,
    ( hd(sK21) = hd(cons(hd(sK21),nil))
    | ~ spl69_141
    | ~ spl69_526 ),
    inference(resolution,[],[f1516,f5219]) ).

fof(f21494,plain,
    ( nil = cons(hd(sK21),nil)
    | hd(cons(hd(sK21),nil)) = sK24(cons(hd(sK21),nil))
    | ~ spl69_140
    | ~ spl69_160 ),
    inference(resolution,[],[f1512,f1603]) ).

fof(f1603,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | hd(X0) = sK24(X0) )
    | ~ spl69_160 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f23434,plain,
    ( spl69_1311
    | ~ spl69_140
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f21496,f1614,f1511,f23432]) ).

fof(f1614,plain,
    ( spl69_163
  <=> ! [X0,X1] :
        ( tl(cons(X1,X0)) = X0
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_163])]) ).

fof(f21496,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(hd(sK21),nil) = tl(cons(X0,cons(hd(sK21),nil))) )
    | ~ spl69_140
    | ~ spl69_163 ),
    inference(resolution,[],[f1512,f1615]) ).

fof(f1615,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | tl(cons(X1,X0)) = X0 )
    | ~ spl69_163 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f23333,plain,
    ( spl69_1310
    | ~ spl69_1284
    | ~ spl69_1309 ),
    inference(avatar_split_clause,[],[f23328,f23324,f22573,f23330]) ).

fof(f23328,plain,
    ( sK25(sK21) = cons(sK23(sK25(sK21)),sK22(sK25(sK21)))
    | ~ spl69_1284
    | ~ spl69_1309 ),
    inference(forward_demodulation,[],[f23326,f22575]) ).

fof(f23327,plain,
    ( spl69_1309
    | spl69_1293
    | ~ spl69_139
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f2596,f1889,f1507,f22850,f23324]) ).

fof(f2596,plain,
    ( nil = tl(sK21)
    | tl(sK21) = cons(sK23(tl(sK21)),sK22(tl(sK21)))
    | ~ spl69_139
    | ~ spl69_175 ),
    inference(resolution,[],[f1508,f1890]) ).

fof(f23233,plain,
    ( spl69_1308
    | ~ spl69_1284
    | ~ spl69_1302 ),
    inference(avatar_split_clause,[],[f23105,f23102,f22573,f23231]) ).

fof(f23231,plain,
    ( spl69_1308
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK21)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1308])]) ).

fof(f23102,plain,
    ( spl69_1302
  <=> ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,tl(sK21)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1302])]) ).

fof(f23105,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK21)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_1284
    | ~ spl69_1302 ),
    inference(forward_demodulation,[],[f23103,f22575]) ).

fof(f23103,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,tl(sK21)))
        | ~ ssList(X0) )
    | ~ spl69_1302 ),
    inference(avatar_component_clause,[],[f23102]) ).

fof(f23229,plain,
    ( spl69_1307
    | ~ spl69_1284
    | ~ spl69_1301 ),
    inference(avatar_split_clause,[],[f23100,f23097,f22573,f23227]) ).

fof(f23097,plain,
    ( spl69_1301
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK21)) = app(cons(X0,nil),tl(sK21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1301])]) ).

fof(f23100,plain,
    ( ! [X0] :
        ( cons(X0,sK25(sK21)) = app(cons(X0,nil),sK25(sK21))
        | ~ ssItem(X0) )
    | ~ spl69_1284
    | ~ spl69_1301 ),
    inference(forward_demodulation,[],[f23098,f22575]) ).

fof(f23098,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK21)) = app(cons(X0,nil),tl(sK21)) )
    | ~ spl69_1301 ),
    inference(avatar_component_clause,[],[f23097]) ).

fof(f23129,plain,
    ( spl69_1305
    | ~ spl69_1283
    | ~ spl69_1303 ),
    inference(avatar_split_clause,[],[f23128,f23107,f22544,f23118]) ).

fof(f23128,plain,
    ( nil = cons(sK24(sK21),nil)
    | ~ spl69_1283
    | ~ spl69_1303 ),
    inference(forward_demodulation,[],[f23109,f22546]) ).

fof(f23109,plain,
    ( nil = cons(hd(sK21),nil)
    | ~ spl69_1303 ),
    inference(avatar_component_clause,[],[f23107]) ).

fof(f23126,plain,
    ( spl69_1306
    | ~ spl69_1283
    | ~ spl69_1304 ),
    inference(avatar_split_clause,[],[f23115,f23111,f22544,f23123]) ).

fof(f23115,plain,
    ( nil = sK25(cons(sK24(sK21),nil))
    | ~ spl69_1283
    | ~ spl69_1304 ),
    inference(forward_demodulation,[],[f23113,f22546]) ).

fof(f23121,plain,
    ( ~ spl69_1305
    | ~ spl69_1283
    | spl69_1303 ),
    inference(avatar_split_clause,[],[f23116,f23107,f22544,f23118]) ).

fof(f23116,plain,
    ( nil != cons(sK24(sK21),nil)
    | ~ spl69_1283
    | spl69_1303 ),
    inference(forward_demodulation,[],[f23108,f22546]) ).

fof(f23114,plain,
    ( spl69_1303
    | spl69_1304
    | ~ spl69_140
    | ~ spl69_141
    | ~ spl69_161
    | ~ spl69_525 ),
    inference(avatar_split_clause,[],[f21674,f5214,f1606,f1515,f1511,f23111,f23107]) ).

fof(f1606,plain,
    ( spl69_161
  <=> ! [X0] :
        ( tl(X0) = sK25(X0)
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_161])]) ).

fof(f21674,plain,
    ( nil = sK25(cons(hd(sK21),nil))
    | nil = cons(hd(sK21),nil)
    | ~ spl69_140
    | ~ spl69_141
    | ~ spl69_161
    | ~ spl69_525 ),
    inference(forward_demodulation,[],[f21495,f21420]) ).

fof(f21420,plain,
    ( nil = tl(cons(hd(sK21),nil))
    | ~ spl69_141
    | ~ spl69_525 ),
    inference(resolution,[],[f1516,f5215]) ).

fof(f21495,plain,
    ( nil = cons(hd(sK21),nil)
    | tl(cons(hd(sK21),nil)) = sK25(cons(hd(sK21),nil))
    | ~ spl69_140
    | ~ spl69_161 ),
    inference(resolution,[],[f1512,f1607]) ).

fof(f1607,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | tl(X0) = sK25(X0) )
    | ~ spl69_161 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f23104,plain,
    ( spl69_1302
    | ~ spl69_139
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2599,f2099,f1507,f23102]) ).

fof(f23099,plain,
    ( spl69_1301
    | ~ spl69_139
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2598,f2001,f1507,f23097]) ).

fof(f2598,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK21)) = app(cons(X0,nil),tl(sK21)) )
    | ~ spl69_139
    | ~ spl69_184 ),
    inference(resolution,[],[f1508,f2002]) ).

fof(f22946,plain,
    ( spl69_1300
    | ~ spl69_1283
    | ~ spl69_1298 ),
    inference(avatar_split_clause,[],[f22937,f22934,f22544,f22944]) ).

fof(f22944,plain,
    ( spl69_1300
  <=> ! [X0] :
        ( hd(cons(X0,cons(sK24(sK21),nil))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1300])]) ).

fof(f22937,plain,
    ( ! [X0] :
        ( hd(cons(X0,cons(sK24(sK21),nil))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_1283
    | ~ spl69_1298 ),
    inference(forward_demodulation,[],[f22935,f22546]) ).

fof(f22942,plain,
    ( spl69_1299
    | ~ spl69_1283
    | ~ spl69_1297 ),
    inference(avatar_split_clause,[],[f22932,f22928,f22544,f22939]) ).

fof(f22932,plain,
    ( cons(sK24(sK21),nil) = app(nil,cons(sK24(sK21),nil))
    | ~ spl69_1283
    | ~ spl69_1297 ),
    inference(forward_demodulation,[],[f22930,f22546]) ).

fof(f22936,plain,
    ( spl69_1298
    | ~ spl69_140
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f21497,f1618,f1511,f22934]) ).

fof(f22931,plain,
    ( spl69_1297
    | ~ spl69_112
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21493,f1511,f1284,f22928]) ).

fof(f21493,plain,
    ( cons(hd(sK21),nil) = app(nil,cons(hd(sK21),nil))
    | ~ spl69_112
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f1285]) ).

fof(f22914,plain,
    ( spl69_1296
    | ~ spl69_1284
    | ~ spl69_1295 ),
    inference(avatar_split_clause,[],[f22909,f22905,f22573,f22911]) ).

fof(f22905,plain,
    ( spl69_1295
  <=> tl(tl(sK21)) = sK25(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1295])]) ).

fof(f22909,plain,
    ( tl(sK25(sK21)) = sK25(sK25(sK21))
    | ~ spl69_1284
    | ~ spl69_1295 ),
    inference(forward_demodulation,[],[f22907,f22575]) ).

fof(f22907,plain,
    ( tl(tl(sK21)) = sK25(tl(sK21))
    | ~ spl69_1295 ),
    inference(avatar_component_clause,[],[f22905]) ).

fof(f22908,plain,
    ( spl69_1295
    | spl69_1293
    | ~ spl69_139
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f2593,f1606,f1507,f22850,f22905]) ).

fof(f2593,plain,
    ( nil = tl(sK21)
    | tl(tl(sK21)) = sK25(tl(sK21))
    | ~ spl69_139
    | ~ spl69_161 ),
    inference(resolution,[],[f1508,f1607]) ).

fof(f22860,plain,
    ( spl69_1294
    | ~ spl69_1284
    | ~ spl69_1292 ),
    inference(avatar_split_clause,[],[f22854,f22846,f22573,f22857]) ).

fof(f22846,plain,
    ( spl69_1292
  <=> hd(tl(sK21)) = sK24(tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1292])]) ).

fof(f22854,plain,
    ( hd(sK25(sK21)) = sK24(sK25(sK21))
    | ~ spl69_1284
    | ~ spl69_1292 ),
    inference(forward_demodulation,[],[f22848,f22575]) ).

fof(f22848,plain,
    ( hd(tl(sK21)) = sK24(tl(sK21))
    | ~ spl69_1292 ),
    inference(avatar_component_clause,[],[f22846]) ).

fof(f22853,plain,
    ( spl69_1292
    | spl69_1293
    | ~ spl69_139
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f2592,f1602,f1507,f22850,f22846]) ).

fof(f2592,plain,
    ( nil = tl(sK21)
    | hd(tl(sK21)) = sK24(tl(sK21))
    | ~ spl69_139
    | ~ spl69_160 ),
    inference(resolution,[],[f1508,f1603]) ).

fof(f22817,plain,
    ( spl69_1291
    | ~ spl69_1284
    | ~ spl69_1290 ),
    inference(avatar_split_clause,[],[f22813,f22810,f22573,f22815]) ).

fof(f22815,plain,
    ( spl69_1291
  <=> ! [X0] :
        ( sK25(sK21) = tl(cons(X0,sK25(sK21)))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1291])]) ).

fof(f22810,plain,
    ( spl69_1290
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | tl(sK21) = tl(cons(X0,tl(sK21))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1290])]) ).

fof(f22813,plain,
    ( ! [X0] :
        ( sK25(sK21) = tl(cons(X0,sK25(sK21)))
        | ~ ssItem(X0) )
    | ~ spl69_1284
    | ~ spl69_1290 ),
    inference(forward_demodulation,[],[f22811,f22575]) ).

fof(f22811,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | tl(sK21) = tl(cons(X0,tl(sK21))) )
    | ~ spl69_1290 ),
    inference(avatar_component_clause,[],[f22810]) ).

fof(f22812,plain,
    ( spl69_1290
    | ~ spl69_139
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f2594,f1614,f1507,f22810]) ).

fof(f2594,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | tl(sK21) = tl(cons(X0,tl(sK21))) )
    | ~ spl69_139
    | ~ spl69_163 ),
    inference(resolution,[],[f1508,f1615]) ).

fof(f22757,plain,
    ( spl69_1289
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1288 ),
    inference(avatar_split_clause,[],[f22752,f22747,f22573,f22544,f22754]) ).

fof(f22752,plain,
    ( sK21 = cons(sK24(sK21),sK25(sK21))
    | ~ spl69_1283
    | ~ spl69_1284
    | ~ spl69_1288 ),
    inference(forward_demodulation,[],[f22751,f22546]) ).

fof(f22751,plain,
    ( sK21 = cons(hd(sK21),sK25(sK21))
    | ~ spl69_1284
    | ~ spl69_1288 ),
    inference(forward_demodulation,[],[f22749,f22575]) ).

fof(f22749,plain,
    ( sK21 = cons(hd(sK21),tl(sK21))
    | ~ spl69_1288 ),
    inference(avatar_component_clause,[],[f22747]) ).

fof(f22750,plain,
    ( spl69_1288
    | spl69_5
    | ~ spl69_2
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1950,f1893,f652,f666,f22747]) ).

fof(f1950,plain,
    ( nil = sK21
    | sK21 = cons(hd(sK21),tl(sK21))
    | ~ spl69_2
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f654]) ).

fof(f654,plain,
    ( ssList(sK21)
    | ~ spl69_2 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f22694,plain,
    ( spl69_1287
    | spl69_5
    | ~ spl69_2
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1916,f1889,f652,f666,f22691]) ).

fof(f22691,plain,
    ( spl69_1287
  <=> sK21 = cons(sK23(sK21),sK22(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1287])]) ).

fof(f1916,plain,
    ( nil = sK21
    | sK21 = cons(sK23(sK21),sK22(sK21))
    | ~ spl69_2
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f654]) ).

fof(f22663,plain,
    ( spl69_1286
    | ~ spl69_1284
    | ~ spl69_1285 ),
    inference(avatar_split_clause,[],[f22659,f22656,f22573,f22661]) ).

fof(f22661,plain,
    ( spl69_1286
  <=> ! [X0] :
        ( hd(cons(X0,sK25(sK21))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1286])]) ).

fof(f22656,plain,
    ( spl69_1285
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,tl(sK21))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1285])]) ).

fof(f22659,plain,
    ( ! [X0] :
        ( hd(cons(X0,sK25(sK21))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_1284
    | ~ spl69_1285 ),
    inference(forward_demodulation,[],[f22657,f22575]) ).

fof(f22657,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,tl(sK21))) = X0 )
    | ~ spl69_1285 ),
    inference(avatar_component_clause,[],[f22656]) ).

fof(f22658,plain,
    ( spl69_1285
    | ~ spl69_139
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f2595,f1618,f1507,f22656]) ).

fof(f2595,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,tl(sK21))) = X0 )
    | ~ spl69_139
    | ~ spl69_164 ),
    inference(resolution,[],[f1508,f1619]) ).

fof(f22576,plain,
    ( spl69_1284
    | spl69_5
    | ~ spl69_2
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1688,f1606,f652,f666,f22573]) ).

fof(f1688,plain,
    ( nil = sK21
    | tl(sK21) = sK25(sK21)
    | ~ spl69_2
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f654]) ).

fof(f22547,plain,
    ( spl69_1283
    | spl69_5
    | ~ spl69_2
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1660,f1602,f652,f666,f22544]) ).

fof(f1660,plain,
    ( nil = sK21
    | hd(sK21) = sK24(sK21)
    | ~ spl69_2
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f654]) ).

fof(f22420,plain,
    ( spl69_1282
    | ~ spl69_112
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2591,f1507,f1284,f22417]) ).

fof(f22417,plain,
    ( spl69_1282
  <=> tl(sK21) = app(nil,tl(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1282])]) ).

fof(f2591,plain,
    ( tl(sK21) = app(nil,tl(sK21))
    | ~ spl69_112
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f1285]) ).

fof(f22415,plain,
    ( spl69_1281
    | ~ spl69_111
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2590,f1507,f1280,f22412]) ).

fof(f22412,plain,
    ( spl69_1281
  <=> tl(sK21) = app(tl(sK21),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1281])]) ).

fof(f2590,plain,
    ( tl(sK21) = app(tl(sK21),nil)
    | ~ spl69_111
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f1281]) ).

fof(f22396,plain,
    ( spl69_1280
    | ~ spl69_26
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21491,f1511,f763,f22393]) ).

fof(f763,plain,
    ( spl69_26
  <=> ! [X0] :
        ( sP17(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).

fof(f21491,plain,
    ( sP17(cons(hd(sK21),nil))
    | ~ spl69_26
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f764]) ).

fof(f764,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP17(X0) )
    | ~ spl69_26 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f22391,plain,
    ( spl69_1279
    | ~ spl69_25
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21490,f1511,f759,f22388]) ).

fof(f759,plain,
    ( spl69_25
  <=> ! [X0] :
        ( sP15(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).

fof(f21490,plain,
    ( sP15(cons(hd(sK21),nil))
    | ~ spl69_25
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f760]) ).

fof(f760,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP15(X0) )
    | ~ spl69_25 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f22386,plain,
    ( spl69_1278
    | ~ spl69_24
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21489,f1511,f755,f22383]) ).

fof(f755,plain,
    ( spl69_24
  <=> ! [X0] :
        ( sP13(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).

fof(f21489,plain,
    ( sP13(cons(hd(sK21),nil))
    | ~ spl69_24
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f756]) ).

fof(f756,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sP13(X0) )
    | ~ spl69_24 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f22381,plain,
    ( spl69_1277
    | ~ spl69_23
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21488,f1511,f751,f22378]) ).

fof(f21488,plain,
    ( sP11(cons(hd(sK21),nil))
    | ~ spl69_23
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f752]) ).

fof(f22376,plain,
    ( spl69_1276
    | ~ spl69_22
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21487,f1511,f747,f22373]) ).

fof(f21487,plain,
    ( sP9(cons(hd(sK21),nil))
    | ~ spl69_22
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f748]) ).

fof(f22371,plain,
    ( spl69_1275
    | ~ spl69_21
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21486,f1511,f743,f22368]) ).

fof(f21486,plain,
    ( sP7(cons(hd(sK21),nil))
    | ~ spl69_21
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f744]) ).

fof(f22366,plain,
    ( spl69_1274
    | ~ spl69_20
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f21485,f1511,f739,f22363]) ).

fof(f21485,plain,
    ( sP5(cons(hd(sK21),nil))
    | ~ spl69_20
    | ~ spl69_140 ),
    inference(resolution,[],[f1512,f740]) ).

fof(f22324,plain,
    ( spl69_1273
    | ~ spl69_26
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2589,f1507,f763,f22321]) ).

fof(f2589,plain,
    ( sP17(tl(sK21))
    | ~ spl69_26
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f764]) ).

fof(f22319,plain,
    ( spl69_1272
    | ~ spl69_25
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2588,f1507,f759,f22316]) ).

fof(f2588,plain,
    ( sP15(tl(sK21))
    | ~ spl69_25
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f760]) ).

fof(f22314,plain,
    ( spl69_1271
    | ~ spl69_24
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2587,f1507,f755,f22311]) ).

fof(f2587,plain,
    ( sP13(tl(sK21))
    | ~ spl69_24
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f756]) ).

fof(f22309,plain,
    ( spl69_1270
    | ~ spl69_23
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2586,f1507,f751,f22306]) ).

fof(f2586,plain,
    ( sP11(tl(sK21))
    | ~ spl69_23
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f752]) ).

fof(f22304,plain,
    ( spl69_1269
    | ~ spl69_22
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2585,f1507,f747,f22301]) ).

fof(f2585,plain,
    ( sP9(tl(sK21))
    | ~ spl69_22
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f748]) ).

fof(f22299,plain,
    ( spl69_1268
    | ~ spl69_21
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2584,f1507,f743,f22296]) ).

fof(f2584,plain,
    ( sP7(tl(sK21))
    | ~ spl69_21
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f744]) ).

fof(f22294,plain,
    ( spl69_248
    | ~ spl69_20
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2583,f1507,f739,f2604]) ).

fof(f2583,plain,
    ( sP5(tl(sK21))
    | ~ spl69_20
    | ~ spl69_139 ),
    inference(resolution,[],[f1508,f740]) ).

fof(f21205,plain,
    ( ~ spl69_14
    | ~ spl69_244
    | ~ spl69_488
    | ~ spl69_1141
    | ~ spl69_1238 ),
    inference(avatar_split_clause,[],[f21180,f20447,f19383,f4988,f2563,f711]) ).

fof(f4988,plain,
    ( spl69_488
  <=> ! [X0] :
        ( sK20 != app(app(X0,cons(sK24(sK20),nil)),sK25(sK20))
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_488])]) ).

fof(f20447,plain,
    ( spl69_1238
  <=> cons(sK24(sK20),nil) = app(nil,cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1238])]) ).

fof(f21180,plain,
    ( ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_488
    | ~ spl69_1141
    | ~ spl69_1238 ),
    inference(trivial_inequality_removal,[],[f21179]) ).

fof(f21179,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_488
    | ~ spl69_1141
    | ~ spl69_1238 ),
    inference(forward_demodulation,[],[f21178,f2565]) ).

fof(f21178,plain,
    ( ~ ssList(nil)
    | sK20 != app(sK20,nil)
    | ~ spl69_488
    | ~ spl69_1141
    | ~ spl69_1238 ),
    inference(trivial_inequality_removal,[],[f21177]) ).

fof(f21177,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | sK20 != app(sK20,nil)
    | ~ spl69_488
    | ~ spl69_1141
    | ~ spl69_1238 ),
    inference(forward_demodulation,[],[f21113,f19385]) ).

fof(f21113,plain,
    ( sK20 != app(cons(sK24(sK20),nil),sK25(sK20))
    | ~ ssList(nil)
    | sK20 != app(sK20,nil)
    | ~ spl69_488
    | ~ spl69_1238 ),
    inference(superposition,[],[f4989,f20449]) ).

fof(f20449,plain,
    ( cons(sK24(sK20),nil) = app(nil,cons(sK24(sK20),nil))
    | ~ spl69_1238 ),
    inference(avatar_component_clause,[],[f20447]) ).

fof(f4989,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,cons(sK24(sK20),nil)),sK25(sK20))
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) )
    | ~ spl69_488 ),
    inference(avatar_component_clause,[],[f4988]) ).

fof(f20991,plain,
    ( spl69_1266
    | ~ spl69_1267
    | ~ spl69_92
    | ~ spl69_1170 ),
    inference(avatar_split_clause,[],[f20431,f20090,f1198,f20988,f20984]) ).

fof(f20984,plain,
    ( spl69_1266
  <=> equalelemsP(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1266])]) ).

fof(f20988,plain,
    ( spl69_1267
  <=> sP4(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1267])]) ).

fof(f1198,plain,
    ( spl69_92
  <=> ! [X0] :
        ( equalelemsP(X0)
        | ~ sP4(X0)
        | ~ sP5(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_92])]) ).

fof(f20090,plain,
    ( spl69_1170
  <=> sP5(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1170])]) ).

fof(f20431,plain,
    ( ~ sP4(sK22(sK20))
    | equalelemsP(sK22(sK20))
    | ~ spl69_92
    | ~ spl69_1170 ),
    inference(resolution,[],[f20092,f1199]) ).

fof(f1199,plain,
    ( ! [X0] :
        ( ~ sP5(X0)
        | ~ sP4(X0)
        | equalelemsP(X0) )
    | ~ spl69_92 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f20092,plain,
    ( sP5(sK22(sK20))
    | ~ spl69_1170 ),
    inference(avatar_component_clause,[],[f20090]) ).

fof(f20566,plain,
    ( spl69_1265
    | ~ spl69_1
    | ~ spl69_244
    | ~ spl69_808 ),
    inference(avatar_split_clause,[],[f10818,f9023,f2563,f647,f20564]) ).

fof(f20564,plain,
    ( spl69_1265
  <=> ! [X0] :
        ( app(X0,sK20) = app(app(X0,sK20),nil)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1265])]) ).

fof(f9023,plain,
    ( spl69_808
  <=> ! [X0,X1] :
        ( app(app(X0,X1),nil) = app(X0,app(X1,nil))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_808])]) ).

fof(f10818,plain,
    ( ! [X0] :
        ( app(X0,sK20) = app(app(X0,sK20),nil)
        | ~ ssList(X0) )
    | ~ spl69_1
    | ~ spl69_244
    | ~ spl69_808 ),
    inference(forward_demodulation,[],[f10781,f2565]) ).

fof(f10781,plain,
    ( ! [X0] :
        ( app(app(X0,sK20),nil) = app(X0,app(sK20,nil))
        | ~ ssList(X0) )
    | ~ spl69_1
    | ~ spl69_808 ),
    inference(resolution,[],[f9024,f649]) ).

fof(f649,plain,
    ( ssList(sK20)
    | ~ spl69_1 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f9024,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | app(app(X0,X1),nil) = app(X0,app(X1,nil))
        | ~ ssList(X0) )
    | ~ spl69_808 ),
    inference(avatar_component_clause,[],[f9023]) ).

fof(f20560,plain,
    ( spl69_1264
    | ~ spl69_1
    | ~ spl69_809 ),
    inference(avatar_split_clause,[],[f9037,f9027,f647,f20557]) ).

fof(f20557,plain,
    ( spl69_1264
  <=> sK20 = app(app(sK64(sK20,nil),nil),sK65(sK20,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1264])]) ).

fof(f9027,plain,
    ( spl69_809
  <=> ! [X0] :
        ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_809])]) ).

fof(f9037,plain,
    ( sK20 = app(app(sK64(sK20,nil),nil),sK65(sK20,nil))
    | ~ spl69_1
    | ~ spl69_809 ),
    inference(resolution,[],[f9028,f649]) ).

fof(f9028,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0 )
    | ~ spl69_809 ),
    inference(avatar_component_clause,[],[f9027]) ).

fof(f20555,plain,
    ( spl69_1263
    | ~ spl69_1
    | ~ spl69_744 ),
    inference(avatar_split_clause,[],[f8472,f8112,f647,f20552]) ).

fof(f20552,plain,
    ( spl69_1263
  <=> sK20 = app(app(sK64(sK20,sK20),sK20),sK65(sK20,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1263])]) ).

fof(f8112,plain,
    ( spl69_744
  <=> ! [X0] :
        ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_744])]) ).

fof(f8472,plain,
    ( sK20 = app(app(sK64(sK20,sK20),sK20),sK65(sK20,sK20))
    | ~ spl69_1
    | ~ spl69_744 ),
    inference(resolution,[],[f8113,f649]) ).

fof(f8113,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0 )
    | ~ spl69_744 ),
    inference(avatar_component_clause,[],[f8112]) ).

fof(f20550,plain,
    ( spl69_1262
    | ~ spl69_1
    | ~ spl69_701 ),
    inference(avatar_split_clause,[],[f8250,f7932,f647,f20548]) ).

fof(f20548,plain,
    ( spl69_1262
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(sK20,X0) = app(nil,app(sK20,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1262])]) ).

fof(f7932,plain,
    ( spl69_701
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | app(X1,X0) = app(nil,app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_701])]) ).

fof(f8250,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sK20,X0) = app(nil,app(sK20,X0)) )
    | ~ spl69_1
    | ~ spl69_701 ),
    inference(resolution,[],[f7933,f649]) ).

fof(f7933,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X0)
        | app(X1,X0) = app(nil,app(X1,X0)) )
    | ~ spl69_701 ),
    inference(avatar_component_clause,[],[f7932]) ).

fof(f20546,plain,
    ( spl69_1261
    | ~ spl69_1
    | ~ spl69_700 ),
    inference(avatar_split_clause,[],[f8209,f7928,f647,f20544]) ).

fof(f20544,plain,
    ( spl69_1261
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(sK20,X0) = app(app(sK20,X0),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1261])]) ).

fof(f7928,plain,
    ( spl69_700
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | app(X1,X0) = app(app(X1,X0),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_700])]) ).

fof(f8209,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sK20,X0) = app(app(sK20,X0),nil) )
    | ~ spl69_1
    | ~ spl69_700 ),
    inference(resolution,[],[f7929,f649]) ).

fof(f7929,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X0)
        | app(X1,X0) = app(app(X1,X0),nil) )
    | ~ spl69_700 ),
    inference(avatar_component_clause,[],[f7928]) ).

fof(f20542,plain,
    ( spl69_1260
    | ~ spl69_1
    | ~ spl69_699 ),
    inference(avatar_split_clause,[],[f8163,f7924,f647,f20540]) ).

fof(f20540,plain,
    ( spl69_1260
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK20) = app(nil,cons(X0,sK20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1260])]) ).

fof(f7924,plain,
    ( spl69_699
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | cons(X0,X1) = app(nil,cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_699])]) ).

fof(f8163,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK20) = app(nil,cons(X0,sK20)) )
    | ~ spl69_1
    | ~ spl69_699 ),
    inference(resolution,[],[f7925,f649]) ).

fof(f7925,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(X0)
        | cons(X0,X1) = app(nil,cons(X0,X1)) )
    | ~ spl69_699 ),
    inference(avatar_component_clause,[],[f7924]) ).

fof(f20538,plain,
    ( spl69_1259
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_695 ),
    inference(avatar_split_clause,[],[f7874,f7128,f3058,f2793,f20536]) ).

fof(f20536,plain,
    ( spl69_1259
  <=> ! [X0] :
        ( sK60(X0) = tl(cons(sK24(sK20),sK60(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1259])]) ).

fof(f3058,plain,
    ( spl69_268
  <=> hd(sK20) = sK24(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_268])]) ).

fof(f7128,plain,
    ( spl69_695
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK60(X1) = tl(cons(X0,sK60(X1)))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_695])]) ).

fof(f7874,plain,
    ( ! [X0] :
        ( sK60(X0) = tl(cons(sK24(sK20),sK60(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_695 ),
    inference(forward_demodulation,[],[f7853,f3060]) ).

fof(f3060,plain,
    ( hd(sK20) = sK24(sK20)
    | ~ spl69_268 ),
    inference(avatar_component_clause,[],[f3058]) ).

fof(f7853,plain,
    ( ! [X0] :
        ( sK60(X0) = tl(cons(hd(sK20),sK60(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_695 ),
    inference(resolution,[],[f7129,f2794]) ).

fof(f7129,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK60(X1) = tl(cons(X0,sK60(X1)))
        | sP16(X1) )
    | ~ spl69_695 ),
    inference(avatar_component_clause,[],[f7128]) ).

fof(f20534,plain,
    ( spl69_1258
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_693 ),
    inference(avatar_split_clause,[],[f7851,f7119,f3058,f2793,f20532]) ).

fof(f20532,plain,
    ( spl69_1258
  <=> ! [X0] :
        ( sK59(X0) = tl(cons(sK24(sK20),sK59(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1258])]) ).

fof(f7119,plain,
    ( spl69_693
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK59(X1) = tl(cons(X0,sK59(X1)))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_693])]) ).

fof(f7851,plain,
    ( ! [X0] :
        ( sK59(X0) = tl(cons(sK24(sK20),sK59(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_693 ),
    inference(forward_demodulation,[],[f7830,f3060]) ).

fof(f7830,plain,
    ( ! [X0] :
        ( sK59(X0) = tl(cons(hd(sK20),sK59(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_693 ),
    inference(resolution,[],[f7120,f2794]) ).

fof(f7120,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK59(X1) = tl(cons(X0,sK59(X1)))
        | sP16(X1) )
    | ~ spl69_693 ),
    inference(avatar_component_clause,[],[f7119]) ).

fof(f20530,plain,
    ( spl69_1257
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_692 ),
    inference(avatar_split_clause,[],[f7828,f7115,f3058,f2793,f20528]) ).

fof(f20528,plain,
    ( spl69_1257
  <=> ! [X0] :
        ( sK58(X0) = tl(cons(sK24(sK20),sK58(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1257])]) ).

fof(f7115,plain,
    ( spl69_692
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK58(X1) = tl(cons(X0,sK58(X1)))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_692])]) ).

fof(f7828,plain,
    ( ! [X0] :
        ( sK58(X0) = tl(cons(sK24(sK20),sK58(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_692 ),
    inference(forward_demodulation,[],[f7807,f3060]) ).

fof(f7807,plain,
    ( ! [X0] :
        ( sK58(X0) = tl(cons(hd(sK20),sK58(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_692 ),
    inference(resolution,[],[f7116,f2794]) ).

fof(f7116,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK58(X1) = tl(cons(X0,sK58(X1)))
        | sP16(X1) )
    | ~ spl69_692 ),
    inference(avatar_component_clause,[],[f7115]) ).

fof(f20526,plain,
    ( spl69_1256
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_691 ),
    inference(avatar_split_clause,[],[f7805,f7111,f3058,f2793,f20524]) ).

fof(f20524,plain,
    ( spl69_1256
  <=> ! [X0] :
        ( sK55(X0) = tl(cons(sK24(sK20),sK55(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1256])]) ).

fof(f7111,plain,
    ( spl69_691
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK55(X1) = tl(cons(X0,sK55(X1)))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_691])]) ).

fof(f7805,plain,
    ( ! [X0] :
        ( sK55(X0) = tl(cons(sK24(sK20),sK55(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_691 ),
    inference(forward_demodulation,[],[f7784,f3060]) ).

fof(f7784,plain,
    ( ! [X0] :
        ( sK55(X0) = tl(cons(hd(sK20),sK55(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_691 ),
    inference(resolution,[],[f7112,f2794]) ).

fof(f7112,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK55(X1) = tl(cons(X0,sK55(X1)))
        | sP14(X1) )
    | ~ spl69_691 ),
    inference(avatar_component_clause,[],[f7111]) ).

fof(f20522,plain,
    ( spl69_1255
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_690 ),
    inference(avatar_split_clause,[],[f7782,f7107,f3058,f2793,f20520]) ).

fof(f20520,plain,
    ( spl69_1255
  <=> ! [X0] :
        ( sK54(X0) = tl(cons(sK24(sK20),sK54(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1255])]) ).

fof(f7107,plain,
    ( spl69_690
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK54(X1) = tl(cons(X0,sK54(X1)))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_690])]) ).

fof(f7782,plain,
    ( ! [X0] :
        ( sK54(X0) = tl(cons(sK24(sK20),sK54(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_690 ),
    inference(forward_demodulation,[],[f7761,f3060]) ).

fof(f7761,plain,
    ( ! [X0] :
        ( sK54(X0) = tl(cons(hd(sK20),sK54(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_690 ),
    inference(resolution,[],[f7108,f2794]) ).

fof(f7108,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK54(X1) = tl(cons(X0,sK54(X1)))
        | sP14(X1) )
    | ~ spl69_690 ),
    inference(avatar_component_clause,[],[f7107]) ).

fof(f20516,plain,
    ( spl69_1254
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_689 ),
    inference(avatar_split_clause,[],[f7759,f7103,f3058,f2793,f20514]) ).

fof(f20514,plain,
    ( spl69_1254
  <=> ! [X0] :
        ( sK53(X0) = tl(cons(sK24(sK20),sK53(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1254])]) ).

fof(f7103,plain,
    ( spl69_689
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK53(X1) = tl(cons(X0,sK53(X1)))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_689])]) ).

fof(f7759,plain,
    ( ! [X0] :
        ( sK53(X0) = tl(cons(sK24(sK20),sK53(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_689 ),
    inference(forward_demodulation,[],[f7738,f3060]) ).

fof(f7738,plain,
    ( ! [X0] :
        ( sK53(X0) = tl(cons(hd(sK20),sK53(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_689 ),
    inference(resolution,[],[f7104,f2794]) ).

fof(f7104,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK53(X1) = tl(cons(X0,sK53(X1)))
        | sP14(X1) )
    | ~ spl69_689 ),
    inference(avatar_component_clause,[],[f7103]) ).

fof(f20512,plain,
    ( spl69_1253
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_688 ),
    inference(avatar_split_clause,[],[f7736,f7099,f3058,f2793,f20510]) ).

fof(f20510,plain,
    ( spl69_1253
  <=> ! [X0] :
        ( sK50(X0) = tl(cons(sK24(sK20),sK50(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1253])]) ).

fof(f7099,plain,
    ( spl69_688
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK50(X1) = tl(cons(X0,sK50(X1)))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_688])]) ).

fof(f7736,plain,
    ( ! [X0] :
        ( sK50(X0) = tl(cons(sK24(sK20),sK50(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_688 ),
    inference(forward_demodulation,[],[f7715,f3060]) ).

fof(f7715,plain,
    ( ! [X0] :
        ( sK50(X0) = tl(cons(hd(sK20),sK50(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_688 ),
    inference(resolution,[],[f7100,f2794]) ).

fof(f7100,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK50(X1) = tl(cons(X0,sK50(X1)))
        | sP12(X1) )
    | ~ spl69_688 ),
    inference(avatar_component_clause,[],[f7099]) ).

fof(f20508,plain,
    ( spl69_1252
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_687 ),
    inference(avatar_split_clause,[],[f7713,f7095,f3058,f2793,f20506]) ).

fof(f20506,plain,
    ( spl69_1252
  <=> ! [X0] :
        ( sK49(X0) = tl(cons(sK24(sK20),sK49(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1252])]) ).

fof(f7095,plain,
    ( spl69_687
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK49(X1) = tl(cons(X0,sK49(X1)))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_687])]) ).

fof(f7713,plain,
    ( ! [X0] :
        ( sK49(X0) = tl(cons(sK24(sK20),sK49(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_687 ),
    inference(forward_demodulation,[],[f7692,f3060]) ).

fof(f7692,plain,
    ( ! [X0] :
        ( sK49(X0) = tl(cons(hd(sK20),sK49(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_687 ),
    inference(resolution,[],[f7096,f2794]) ).

fof(f7096,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK49(X1) = tl(cons(X0,sK49(X1)))
        | sP12(X1) )
    | ~ spl69_687 ),
    inference(avatar_component_clause,[],[f7095]) ).

fof(f20504,plain,
    ( spl69_1251
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_686 ),
    inference(avatar_split_clause,[],[f7690,f7091,f3058,f2793,f20502]) ).

fof(f20502,plain,
    ( spl69_1251
  <=> ! [X0] :
        ( sK48(X0) = tl(cons(sK24(sK20),sK48(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1251])]) ).

fof(f7091,plain,
    ( spl69_686
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK48(X1) = tl(cons(X0,sK48(X1)))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_686])]) ).

fof(f7690,plain,
    ( ! [X0] :
        ( sK48(X0) = tl(cons(sK24(sK20),sK48(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_686 ),
    inference(forward_demodulation,[],[f7669,f3060]) ).

fof(f7669,plain,
    ( ! [X0] :
        ( sK48(X0) = tl(cons(hd(sK20),sK48(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_686 ),
    inference(resolution,[],[f7092,f2794]) ).

fof(f7092,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK48(X1) = tl(cons(X0,sK48(X1)))
        | sP12(X1) )
    | ~ spl69_686 ),
    inference(avatar_component_clause,[],[f7091]) ).

fof(f20500,plain,
    ( spl69_1250
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_685 ),
    inference(avatar_split_clause,[],[f7665,f7087,f3058,f2793,f20498]) ).

fof(f20498,plain,
    ( spl69_1250
  <=> ! [X0] :
        ( sK45(X0) = tl(cons(sK24(sK20),sK45(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1250])]) ).

fof(f7087,plain,
    ( spl69_685
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK45(X1) = tl(cons(X0,sK45(X1)))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_685])]) ).

fof(f7665,plain,
    ( ! [X0] :
        ( sK45(X0) = tl(cons(sK24(sK20),sK45(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_685 ),
    inference(forward_demodulation,[],[f7644,f3060]) ).

fof(f7644,plain,
    ( ! [X0] :
        ( sK45(X0) = tl(cons(hd(sK20),sK45(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_685 ),
    inference(resolution,[],[f7088,f2794]) ).

fof(f7088,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK45(X1) = tl(cons(X0,sK45(X1)))
        | sP10(X1) )
    | ~ spl69_685 ),
    inference(avatar_component_clause,[],[f7087]) ).

fof(f20496,plain,
    ( spl69_1249
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_684 ),
    inference(avatar_split_clause,[],[f7642,f7083,f3058,f2793,f20494]) ).

fof(f20494,plain,
    ( spl69_1249
  <=> ! [X0] :
        ( sK44(X0) = tl(cons(sK24(sK20),sK44(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1249])]) ).

fof(f7083,plain,
    ( spl69_684
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK44(X1) = tl(cons(X0,sK44(X1)))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_684])]) ).

fof(f7642,plain,
    ( ! [X0] :
        ( sK44(X0) = tl(cons(sK24(sK20),sK44(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_684 ),
    inference(forward_demodulation,[],[f7621,f3060]) ).

fof(f7621,plain,
    ( ! [X0] :
        ( sK44(X0) = tl(cons(hd(sK20),sK44(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_684 ),
    inference(resolution,[],[f7084,f2794]) ).

fof(f7084,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK44(X1) = tl(cons(X0,sK44(X1)))
        | sP10(X1) )
    | ~ spl69_684 ),
    inference(avatar_component_clause,[],[f7083]) ).

fof(f20492,plain,
    ( spl69_1248
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_682 ),
    inference(avatar_split_clause,[],[f7619,f7074,f3058,f2793,f20490]) ).

fof(f20490,plain,
    ( spl69_1248
  <=> ! [X0] :
        ( sK43(X0) = tl(cons(sK24(sK20),sK43(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1248])]) ).

fof(f7074,plain,
    ( spl69_682
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK43(X1) = tl(cons(X0,sK43(X1)))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_682])]) ).

fof(f7619,plain,
    ( ! [X0] :
        ( sK43(X0) = tl(cons(sK24(sK20),sK43(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_682 ),
    inference(forward_demodulation,[],[f7598,f3060]) ).

fof(f7598,plain,
    ( ! [X0] :
        ( sK43(X0) = tl(cons(hd(sK20),sK43(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_682 ),
    inference(resolution,[],[f7075,f2794]) ).

fof(f7075,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK43(X1) = tl(cons(X0,sK43(X1)))
        | sP10(X1) )
    | ~ spl69_682 ),
    inference(avatar_component_clause,[],[f7074]) ).

fof(f20488,plain,
    ( spl69_1247
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_681 ),
    inference(avatar_split_clause,[],[f7596,f7070,f3058,f2793,f20486]) ).

fof(f20486,plain,
    ( spl69_1247
  <=> ! [X0] :
        ( sK40(X0) = tl(cons(sK24(sK20),sK40(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1247])]) ).

fof(f7070,plain,
    ( spl69_681
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK40(X1) = tl(cons(X0,sK40(X1)))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_681])]) ).

fof(f7596,plain,
    ( ! [X0] :
        ( sK40(X0) = tl(cons(sK24(sK20),sK40(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_681 ),
    inference(forward_demodulation,[],[f7575,f3060]) ).

fof(f7575,plain,
    ( ! [X0] :
        ( sK40(X0) = tl(cons(hd(sK20),sK40(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_681 ),
    inference(resolution,[],[f7071,f2794]) ).

fof(f7071,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK40(X1) = tl(cons(X0,sK40(X1)))
        | sP8(X1) )
    | ~ spl69_681 ),
    inference(avatar_component_clause,[],[f7070]) ).

fof(f20484,plain,
    ( spl69_1246
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_680 ),
    inference(avatar_split_clause,[],[f7573,f7066,f3058,f2793,f20482]) ).

fof(f20482,plain,
    ( spl69_1246
  <=> ! [X0] :
        ( sK39(X0) = tl(cons(sK24(sK20),sK39(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1246])]) ).

fof(f7066,plain,
    ( spl69_680
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK39(X1) = tl(cons(X0,sK39(X1)))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_680])]) ).

fof(f7573,plain,
    ( ! [X0] :
        ( sK39(X0) = tl(cons(sK24(sK20),sK39(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_680 ),
    inference(forward_demodulation,[],[f7552,f3060]) ).

fof(f7552,plain,
    ( ! [X0] :
        ( sK39(X0) = tl(cons(hd(sK20),sK39(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_680 ),
    inference(resolution,[],[f7067,f2794]) ).

fof(f7067,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK39(X1) = tl(cons(X0,sK39(X1)))
        | sP8(X1) )
    | ~ spl69_680 ),
    inference(avatar_component_clause,[],[f7066]) ).

fof(f20480,plain,
    ( spl69_1245
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_679 ),
    inference(avatar_split_clause,[],[f7550,f7062,f3058,f2793,f20478]) ).

fof(f20478,plain,
    ( spl69_1245
  <=> ! [X0] :
        ( sK38(X0) = tl(cons(sK24(sK20),sK38(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1245])]) ).

fof(f7062,plain,
    ( spl69_679
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK38(X1) = tl(cons(X0,sK38(X1)))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_679])]) ).

fof(f7550,plain,
    ( ! [X0] :
        ( sK38(X0) = tl(cons(sK24(sK20),sK38(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_679 ),
    inference(forward_demodulation,[],[f7529,f3060]) ).

fof(f7529,plain,
    ( ! [X0] :
        ( sK38(X0) = tl(cons(hd(sK20),sK38(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_679 ),
    inference(resolution,[],[f7063,f2794]) ).

fof(f7063,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK38(X1) = tl(cons(X0,sK38(X1)))
        | sP8(X1) )
    | ~ spl69_679 ),
    inference(avatar_component_clause,[],[f7062]) ).

fof(f20474,plain,
    ( spl69_1244
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_678 ),
    inference(avatar_split_clause,[],[f7527,f7058,f3058,f2793,f20472]) ).

fof(f20472,plain,
    ( spl69_1244
  <=> ! [X0] :
        ( sK35(X0) = tl(cons(sK24(sK20),sK35(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1244])]) ).

fof(f7058,plain,
    ( spl69_678
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK35(X1) = tl(cons(X0,sK35(X1)))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_678])]) ).

fof(f7527,plain,
    ( ! [X0] :
        ( sK35(X0) = tl(cons(sK24(sK20),sK35(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_678 ),
    inference(forward_demodulation,[],[f7506,f3060]) ).

fof(f7506,plain,
    ( ! [X0] :
        ( sK35(X0) = tl(cons(hd(sK20),sK35(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_678 ),
    inference(resolution,[],[f7059,f2794]) ).

fof(f7059,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK35(X1) = tl(cons(X0,sK35(X1)))
        | sP6(X1) )
    | ~ spl69_678 ),
    inference(avatar_component_clause,[],[f7058]) ).

fof(f20470,plain,
    ( spl69_1243
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_677 ),
    inference(avatar_split_clause,[],[f7504,f7054,f3058,f2793,f20468]) ).

fof(f20468,plain,
    ( spl69_1243
  <=> ! [X0] :
        ( sK34(X0) = tl(cons(sK24(sK20),sK34(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1243])]) ).

fof(f7054,plain,
    ( spl69_677
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK34(X1) = tl(cons(X0,sK34(X1)))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_677])]) ).

fof(f7504,plain,
    ( ! [X0] :
        ( sK34(X0) = tl(cons(sK24(sK20),sK34(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_677 ),
    inference(forward_demodulation,[],[f7483,f3060]) ).

fof(f7483,plain,
    ( ! [X0] :
        ( sK34(X0) = tl(cons(hd(sK20),sK34(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_677 ),
    inference(resolution,[],[f7055,f2794]) ).

fof(f7055,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK34(X1) = tl(cons(X0,sK34(X1)))
        | sP6(X1) )
    | ~ spl69_677 ),
    inference(avatar_component_clause,[],[f7054]) ).

fof(f20466,plain,
    ( spl69_1242
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_676 ),
    inference(avatar_split_clause,[],[f7481,f7050,f3058,f2793,f20464]) ).

fof(f20464,plain,
    ( spl69_1242
  <=> ! [X0] :
        ( sK33(X0) = tl(cons(sK24(sK20),sK33(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1242])]) ).

fof(f7050,plain,
    ( spl69_676
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK33(X1) = tl(cons(X0,sK33(X1)))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_676])]) ).

fof(f7481,plain,
    ( ! [X0] :
        ( sK33(X0) = tl(cons(sK24(sK20),sK33(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_676 ),
    inference(forward_demodulation,[],[f7460,f3060]) ).

fof(f7460,plain,
    ( ! [X0] :
        ( sK33(X0) = tl(cons(hd(sK20),sK33(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_676 ),
    inference(resolution,[],[f7051,f2794]) ).

fof(f7051,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK33(X1) = tl(cons(X0,sK33(X1)))
        | sP6(X1) )
    | ~ spl69_676 ),
    inference(avatar_component_clause,[],[f7050]) ).

fof(f20462,plain,
    ( spl69_1241
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_675 ),
    inference(avatar_split_clause,[],[f7458,f7046,f3058,f2793,f20460]) ).

fof(f20460,plain,
    ( spl69_1241
  <=> ! [X0] :
        ( sK30(X0) = tl(cons(sK24(sK20),sK30(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1241])]) ).

fof(f7046,plain,
    ( spl69_675
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK30(X1) = tl(cons(X0,sK30(X1)))
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_675])]) ).

fof(f7458,plain,
    ( ! [X0] :
        ( sK30(X0) = tl(cons(sK24(sK20),sK30(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_675 ),
    inference(forward_demodulation,[],[f7437,f3060]) ).

fof(f7437,plain,
    ( ! [X0] :
        ( sK30(X0) = tl(cons(hd(sK20),sK30(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_675 ),
    inference(resolution,[],[f7047,f2794]) ).

fof(f7047,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK30(X1) = tl(cons(X0,sK30(X1)))
        | sP4(X1) )
    | ~ spl69_675 ),
    inference(avatar_component_clause,[],[f7046]) ).

fof(f20458,plain,
    ( spl69_1240
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_674 ),
    inference(avatar_split_clause,[],[f7433,f7042,f3058,f2793,f20456]) ).

fof(f20456,plain,
    ( spl69_1240
  <=> ! [X0] :
        ( sK29(X0) = tl(cons(sK24(sK20),sK29(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1240])]) ).

fof(f7042,plain,
    ( spl69_674
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK29(X1) = tl(cons(X0,sK29(X1)))
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_674])]) ).

fof(f7433,plain,
    ( ! [X0] :
        ( sK29(X0) = tl(cons(sK24(sK20),sK29(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_674 ),
    inference(forward_demodulation,[],[f7412,f3060]) ).

fof(f7412,plain,
    ( ! [X0] :
        ( sK29(X0) = tl(cons(hd(sK20),sK29(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_674 ),
    inference(resolution,[],[f7043,f2794]) ).

fof(f7043,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK29(X1) = tl(cons(X0,sK29(X1)))
        | sP4(X1) )
    | ~ spl69_674 ),
    inference(avatar_component_clause,[],[f7042]) ).

fof(f20454,plain,
    ( spl69_1239
    | ~ spl69_164
    | ~ spl69_310 ),
    inference(avatar_split_clause,[],[f6759,f3670,f1618,f20452]) ).

fof(f20452,plain,
    ( spl69_1239
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(sK24(sK20),nil))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1239])]) ).

fof(f3670,plain,
    ( spl69_310
  <=> ssList(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_310])]) ).

fof(f6759,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(sK24(sK20),nil))) = X0 )
    | ~ spl69_164
    | ~ spl69_310 ),
    inference(resolution,[],[f3671,f1619]) ).

fof(f3671,plain,
    ( ssList(cons(sK24(sK20),nil))
    | ~ spl69_310 ),
    inference(avatar_component_clause,[],[f3670]) ).

fof(f20450,plain,
    ( spl69_1238
    | ~ spl69_112
    | ~ spl69_310 ),
    inference(avatar_split_clause,[],[f6755,f3670,f1284,f20447]) ).

fof(f6755,plain,
    ( cons(sK24(sK20),nil) = app(nil,cons(sK24(sK20),nil))
    | ~ spl69_112
    | ~ spl69_310 ),
    inference(resolution,[],[f3671,f1285]) ).

fof(f20445,plain,
    ( spl69_1237
    | ~ spl69_111
    | ~ spl69_310 ),
    inference(avatar_split_clause,[],[f6754,f3670,f1280,f20442]) ).

fof(f20442,plain,
    ( spl69_1237
  <=> cons(sK24(sK20),nil) = app(cons(sK24(sK20),nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1237])]) ).

fof(f6754,plain,
    ( cons(sK24(sK20),nil) = app(cons(sK24(sK20),nil),nil)
    | ~ spl69_111
    | ~ spl69_310 ),
    inference(resolution,[],[f3671,f1281]) ).

fof(f20440,plain,
    ( spl69_1236
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_594 ),
    inference(avatar_split_clause,[],[f6665,f5917,f3058,f2793,f20438]) ).

fof(f20438,plain,
    ( spl69_1236
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK60(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1236])]) ).

fof(f5917,plain,
    ( spl69_594
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK60(X1))) = X0
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_594])]) ).

fof(f6665,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK60(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_594 ),
    inference(forward_demodulation,[],[f6644,f3060]) ).

fof(f6644,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK60(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_594 ),
    inference(resolution,[],[f5918,f2794]) ).

fof(f5918,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK60(X1))) = X0
        | sP16(X1) )
    | ~ spl69_594 ),
    inference(avatar_component_clause,[],[f5917]) ).

fof(f20436,plain,
    ( spl69_1235
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_591 ),
    inference(avatar_split_clause,[],[f6642,f5902,f3058,f2793,f20434]) ).

fof(f20434,plain,
    ( spl69_1235
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK59(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1235])]) ).

fof(f5902,plain,
    ( spl69_591
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK59(X1))) = X0
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_591])]) ).

fof(f6642,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK59(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_591 ),
    inference(forward_demodulation,[],[f6621,f3060]) ).

fof(f6621,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK59(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_591 ),
    inference(resolution,[],[f5903,f2794]) ).

fof(f5903,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK59(X1))) = X0
        | sP16(X1) )
    | ~ spl69_591 ),
    inference(avatar_component_clause,[],[f5902]) ).

fof(f20430,plain,
    ( spl69_1234
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_590 ),
    inference(avatar_split_clause,[],[f6619,f5898,f3058,f2793,f20428]) ).

fof(f20428,plain,
    ( spl69_1234
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK58(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1234])]) ).

fof(f5898,plain,
    ( spl69_590
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK58(X1))) = X0
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_590])]) ).

fof(f6619,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK58(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_590 ),
    inference(forward_demodulation,[],[f6598,f3060]) ).

fof(f6598,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK58(X0)))
        | sP16(X0) )
    | ~ spl69_254
    | ~ spl69_590 ),
    inference(resolution,[],[f5899,f2794]) ).

fof(f5899,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK58(X1))) = X0
        | sP16(X1) )
    | ~ spl69_590 ),
    inference(avatar_component_clause,[],[f5898]) ).

fof(f20426,plain,
    ( spl69_1233
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_589 ),
    inference(avatar_split_clause,[],[f6596,f5894,f3058,f2793,f20424]) ).

fof(f20424,plain,
    ( spl69_1233
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK55(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1233])]) ).

fof(f5894,plain,
    ( spl69_589
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK55(X1))) = X0
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_589])]) ).

fof(f6596,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK55(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_589 ),
    inference(forward_demodulation,[],[f6575,f3060]) ).

fof(f6575,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK55(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_589 ),
    inference(resolution,[],[f5895,f2794]) ).

fof(f5895,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK55(X1))) = X0
        | sP14(X1) )
    | ~ spl69_589 ),
    inference(avatar_component_clause,[],[f5894]) ).

fof(f20422,plain,
    ( spl69_1232
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_588 ),
    inference(avatar_split_clause,[],[f6573,f5890,f3058,f2793,f20420]) ).

fof(f20420,plain,
    ( spl69_1232
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK54(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1232])]) ).

fof(f5890,plain,
    ( spl69_588
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK54(X1))) = X0
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_588])]) ).

fof(f6573,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK54(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_588 ),
    inference(forward_demodulation,[],[f6552,f3060]) ).

fof(f6552,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK54(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_588 ),
    inference(resolution,[],[f5891,f2794]) ).

fof(f5891,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK54(X1))) = X0
        | sP14(X1) )
    | ~ spl69_588 ),
    inference(avatar_component_clause,[],[f5890]) ).

fof(f20418,plain,
    ( spl69_1231
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_587 ),
    inference(avatar_split_clause,[],[f6550,f5886,f3058,f2793,f20416]) ).

fof(f20416,plain,
    ( spl69_1231
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK53(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1231])]) ).

fof(f5886,plain,
    ( spl69_587
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK53(X1))) = X0
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_587])]) ).

fof(f6550,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK53(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_587 ),
    inference(forward_demodulation,[],[f6529,f3060]) ).

fof(f6529,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK53(X0)))
        | sP14(X0) )
    | ~ spl69_254
    | ~ spl69_587 ),
    inference(resolution,[],[f5887,f2794]) ).

fof(f5887,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK53(X1))) = X0
        | sP14(X1) )
    | ~ spl69_587 ),
    inference(avatar_component_clause,[],[f5886]) ).

fof(f20414,plain,
    ( spl69_1230
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_586 ),
    inference(avatar_split_clause,[],[f6527,f5882,f3058,f2793,f20412]) ).

fof(f20412,plain,
    ( spl69_1230
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK50(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1230])]) ).

fof(f5882,plain,
    ( spl69_586
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK50(X1))) = X0
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_586])]) ).

fof(f6527,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK50(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_586 ),
    inference(forward_demodulation,[],[f6506,f3060]) ).

fof(f6506,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK50(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_586 ),
    inference(resolution,[],[f5883,f2794]) ).

fof(f5883,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK50(X1))) = X0
        | sP12(X1) )
    | ~ spl69_586 ),
    inference(avatar_component_clause,[],[f5882]) ).

fof(f20410,plain,
    ( spl69_1229
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_585 ),
    inference(avatar_split_clause,[],[f6504,f5878,f3058,f2793,f20408]) ).

fof(f20408,plain,
    ( spl69_1229
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK49(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1229])]) ).

fof(f5878,plain,
    ( spl69_585
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK49(X1))) = X0
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_585])]) ).

fof(f6504,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK49(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_585 ),
    inference(forward_demodulation,[],[f6483,f3060]) ).

fof(f6483,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK49(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_585 ),
    inference(resolution,[],[f5879,f2794]) ).

fof(f5879,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK49(X1))) = X0
        | sP12(X1) )
    | ~ spl69_585 ),
    inference(avatar_component_clause,[],[f5878]) ).

fof(f20406,plain,
    ( spl69_1228
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_584 ),
    inference(avatar_split_clause,[],[f6481,f5874,f3058,f2793,f20404]) ).

fof(f20404,plain,
    ( spl69_1228
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK48(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1228])]) ).

fof(f5874,plain,
    ( spl69_584
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK48(X1))) = X0
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_584])]) ).

fof(f6481,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK48(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_584 ),
    inference(forward_demodulation,[],[f6460,f3060]) ).

fof(f6460,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK48(X0)))
        | sP12(X0) )
    | ~ spl69_254
    | ~ spl69_584 ),
    inference(resolution,[],[f5875,f2794]) ).

fof(f5875,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK48(X1))) = X0
        | sP12(X1) )
    | ~ spl69_584 ),
    inference(avatar_component_clause,[],[f5874]) ).

fof(f20402,plain,
    ( spl69_1227
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_583 ),
    inference(avatar_split_clause,[],[f6452,f5870,f3058,f2793,f20400]) ).

fof(f20400,plain,
    ( spl69_1227
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK45(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1227])]) ).

fof(f5870,plain,
    ( spl69_583
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK45(X1))) = X0
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_583])]) ).

fof(f6452,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK45(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_583 ),
    inference(forward_demodulation,[],[f6431,f3060]) ).

fof(f6431,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK45(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_583 ),
    inference(resolution,[],[f5871,f2794]) ).

fof(f5871,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK45(X1))) = X0
        | sP10(X1) )
    | ~ spl69_583 ),
    inference(avatar_component_clause,[],[f5870]) ).

fof(f20398,plain,
    ( spl69_1226
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_582 ),
    inference(avatar_split_clause,[],[f6429,f5866,f3058,f2793,f20396]) ).

fof(f20396,plain,
    ( spl69_1226
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK44(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1226])]) ).

fof(f5866,plain,
    ( spl69_582
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK44(X1))) = X0
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_582])]) ).

fof(f6429,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK44(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_582 ),
    inference(forward_demodulation,[],[f6408,f3060]) ).

fof(f6408,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK44(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_582 ),
    inference(resolution,[],[f5867,f2794]) ).

fof(f5867,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK44(X1))) = X0
        | sP10(X1) )
    | ~ spl69_582 ),
    inference(avatar_component_clause,[],[f5866]) ).

fof(f20394,plain,
    ( spl69_1225
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_581 ),
    inference(avatar_split_clause,[],[f6406,f5855,f3058,f2793,f20392]) ).

fof(f20392,plain,
    ( spl69_1225
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK43(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1225])]) ).

fof(f5855,plain,
    ( spl69_581
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK43(X1))) = X0
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_581])]) ).

fof(f6406,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK43(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_581 ),
    inference(forward_demodulation,[],[f6385,f3060]) ).

fof(f6385,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK43(X0)))
        | sP10(X0) )
    | ~ spl69_254
    | ~ spl69_581 ),
    inference(resolution,[],[f5856,f2794]) ).

fof(f5856,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK43(X1))) = X0
        | sP10(X1) )
    | ~ spl69_581 ),
    inference(avatar_component_clause,[],[f5855]) ).

fof(f20390,plain,
    ( spl69_1224
    | ~ spl69_26
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19797,f19776,f763,f20387]) ).

fof(f20387,plain,
    ( spl69_1224
  <=> sP17(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1224])]) ).

fof(f19776,plain,
    ( spl69_1165
  <=> ssList(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1165])]) ).

fof(f19797,plain,
    ( sP17(sK22(sK20))
    | ~ spl69_26
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f764]) ).

fof(f19777,plain,
    ( ssList(sK22(sK20))
    | ~ spl69_1165 ),
    inference(avatar_component_clause,[],[f19776]) ).

fof(f20385,plain,
    ( spl69_1223
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_580 ),
    inference(avatar_split_clause,[],[f6383,f5851,f3058,f2793,f20383]) ).

fof(f20383,plain,
    ( spl69_1223
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK40(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1223])]) ).

fof(f5851,plain,
    ( spl69_580
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK40(X1))) = X0
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_580])]) ).

fof(f6383,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK40(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_580 ),
    inference(forward_demodulation,[],[f6362,f3060]) ).

fof(f6362,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK40(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_580 ),
    inference(resolution,[],[f5852,f2794]) ).

fof(f5852,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK40(X1))) = X0
        | sP8(X1) )
    | ~ spl69_580 ),
    inference(avatar_component_clause,[],[f5851]) ).

fof(f20381,plain,
    ( spl69_1222
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_579 ),
    inference(avatar_split_clause,[],[f6360,f5847,f3058,f2793,f20379]) ).

fof(f20379,plain,
    ( spl69_1222
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK39(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1222])]) ).

fof(f5847,plain,
    ( spl69_579
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK39(X1))) = X0
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_579])]) ).

fof(f6360,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK39(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_579 ),
    inference(forward_demodulation,[],[f6339,f3060]) ).

fof(f6339,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK39(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_579 ),
    inference(resolution,[],[f5848,f2794]) ).

fof(f5848,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK39(X1))) = X0
        | sP8(X1) )
    | ~ spl69_579 ),
    inference(avatar_component_clause,[],[f5847]) ).

fof(f20377,plain,
    ( spl69_1221
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_578 ),
    inference(avatar_split_clause,[],[f6337,f5843,f3058,f2793,f20375]) ).

fof(f20375,plain,
    ( spl69_1221
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK38(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1221])]) ).

fof(f5843,plain,
    ( spl69_578
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK38(X1))) = X0
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_578])]) ).

fof(f6337,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK38(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_578 ),
    inference(forward_demodulation,[],[f6316,f3060]) ).

fof(f6316,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK38(X0)))
        | sP8(X0) )
    | ~ spl69_254
    | ~ spl69_578 ),
    inference(resolution,[],[f5844,f2794]) ).

fof(f5844,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK38(X1))) = X0
        | sP8(X1) )
    | ~ spl69_578 ),
    inference(avatar_component_clause,[],[f5843]) ).

fof(f20373,plain,
    ( spl69_1220
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_577 ),
    inference(avatar_split_clause,[],[f6314,f5839,f3058,f2793,f20371]) ).

fof(f20371,plain,
    ( spl69_1220
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK35(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1220])]) ).

fof(f5839,plain,
    ( spl69_577
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK35(X1))) = X0
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_577])]) ).

fof(f6314,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK35(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_577 ),
    inference(forward_demodulation,[],[f6293,f3060]) ).

fof(f6293,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK35(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_577 ),
    inference(resolution,[],[f5840,f2794]) ).

fof(f5840,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK35(X1))) = X0
        | sP6(X1) )
    | ~ spl69_577 ),
    inference(avatar_component_clause,[],[f5839]) ).

fof(f20369,plain,
    ( spl69_1219
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_576 ),
    inference(avatar_split_clause,[],[f6291,f5835,f3058,f2793,f20367]) ).

fof(f20367,plain,
    ( spl69_1219
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK34(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1219])]) ).

fof(f5835,plain,
    ( spl69_576
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK34(X1))) = X0
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_576])]) ).

fof(f6291,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK34(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_576 ),
    inference(forward_demodulation,[],[f6270,f3060]) ).

fof(f6270,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK34(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_576 ),
    inference(resolution,[],[f5836,f2794]) ).

fof(f5836,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK34(X1))) = X0
        | sP6(X1) )
    | ~ spl69_576 ),
    inference(avatar_component_clause,[],[f5835]) ).

fof(f20365,plain,
    ( spl69_1218
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_575 ),
    inference(avatar_split_clause,[],[f6268,f5831,f3058,f2793,f20363]) ).

fof(f20363,plain,
    ( spl69_1218
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK33(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1218])]) ).

fof(f5831,plain,
    ( spl69_575
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK33(X1))) = X0
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_575])]) ).

fof(f6268,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK33(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_575 ),
    inference(forward_demodulation,[],[f6247,f3060]) ).

fof(f6247,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK33(X0)))
        | sP6(X0) )
    | ~ spl69_254
    | ~ spl69_575 ),
    inference(resolution,[],[f5832,f2794]) ).

fof(f5832,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK33(X1))) = X0
        | sP6(X1) )
    | ~ spl69_575 ),
    inference(avatar_component_clause,[],[f5831]) ).

fof(f20361,plain,
    ( spl69_1217
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_574 ),
    inference(avatar_split_clause,[],[f6245,f5827,f3058,f2793,f20359]) ).

fof(f20359,plain,
    ( spl69_1217
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK30(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1217])]) ).

fof(f5827,plain,
    ( spl69_574
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK30(X1))) = X0
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_574])]) ).

fof(f6245,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK30(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_574 ),
    inference(forward_demodulation,[],[f6224,f3060]) ).

fof(f6224,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK30(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_574 ),
    inference(resolution,[],[f5828,f2794]) ).

fof(f5828,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK30(X1))) = X0
        | sP4(X1) )
    | ~ spl69_574 ),
    inference(avatar_component_clause,[],[f5827]) ).

fof(f20357,plain,
    ( spl69_1216
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_573 ),
    inference(avatar_split_clause,[],[f6216,f5823,f3058,f2793,f20355]) ).

fof(f20355,plain,
    ( spl69_1216
  <=> ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK29(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1216])]) ).

fof(f5823,plain,
    ( spl69_573
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK29(X1))) = X0
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_573])]) ).

fof(f6216,plain,
    ( ! [X0] :
        ( sK24(sK20) = hd(cons(sK24(sK20),sK29(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_573 ),
    inference(forward_demodulation,[],[f6195,f3060]) ).

fof(f6195,plain,
    ( ! [X0] :
        ( hd(sK20) = hd(cons(hd(sK20),sK29(X0)))
        | sP4(X0) )
    | ~ spl69_254
    | ~ spl69_573 ),
    inference(resolution,[],[f5824,f2794]) ).

fof(f5824,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK29(X1))) = X0
        | sP4(X1) )
    | ~ spl69_573 ),
    inference(avatar_component_clause,[],[f5823]) ).

fof(f20353,plain,
    ( spl69_1215
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_569 ),
    inference(avatar_split_clause,[],[f5813,f5624,f3070,f2758,f20350]) ).

fof(f20350,plain,
    ( spl69_1215
  <=> sK25(sK20) = app(sK25(sK20),sK66(sK25(sK20),sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1215])]) ).

fof(f2758,plain,
    ( spl69_251
  <=> ssList(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_251])]) ).

fof(f5624,plain,
    ( spl69_569
  <=> ! [X0] :
        ( app(X0,sK66(X0,X0)) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_569])]) ).

fof(f5813,plain,
    ( sK25(sK20) = app(sK25(sK20),sK66(sK25(sK20),sK25(sK20)))
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_569 ),
    inference(forward_demodulation,[],[f5780,f3072]) ).

fof(f5780,plain,
    ( tl(sK20) = app(tl(sK20),sK66(tl(sK20),tl(sK20)))
    | ~ spl69_251
    | ~ spl69_569 ),
    inference(resolution,[],[f5625,f2760]) ).

fof(f2760,plain,
    ( ssList(tl(sK20))
    | ~ spl69_251 ),
    inference(avatar_component_clause,[],[f2758]) ).

fof(f5625,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(X0,sK66(X0,X0)) = X0 )
    | ~ spl69_569 ),
    inference(avatar_component_clause,[],[f5624]) ).

fof(f20348,plain,
    ( spl69_1214
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_568 ),
    inference(avatar_split_clause,[],[f5773,f5620,f3070,f2758,f20345]) ).

fof(f20345,plain,
    ( spl69_1214
  <=> sK25(sK20) = app(sK63(sK25(sK20),sK25(sK20)),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1214])]) ).

fof(f5620,plain,
    ( spl69_568
  <=> ! [X0] :
        ( app(sK63(X0,X0),X0) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_568])]) ).

fof(f5773,plain,
    ( sK25(sK20) = app(sK63(sK25(sK20),sK25(sK20)),sK25(sK20))
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_568 ),
    inference(forward_demodulation,[],[f5740,f3072]) ).

fof(f5740,plain,
    ( tl(sK20) = app(sK63(tl(sK20),tl(sK20)),tl(sK20))
    | ~ spl69_251
    | ~ spl69_568 ),
    inference(resolution,[],[f5621,f2760]) ).

fof(f5621,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sK63(X0,X0),X0) = X0 )
    | ~ spl69_568 ),
    inference(avatar_component_clause,[],[f5620]) ).

fof(f20343,plain,
    ( spl69_1213
    | ~ spl69_25
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19796,f19776,f759,f20340]) ).

fof(f20340,plain,
    ( spl69_1213
  <=> sP15(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1213])]) ).

fof(f19796,plain,
    ( sP15(sK22(sK20))
    | ~ spl69_25
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f760]) ).

fof(f20338,plain,
    ( spl69_1212
    | ~ spl69_14
    | ~ spl69_246
    | ~ spl69_315 ),
    inference(avatar_split_clause,[],[f3832,f3744,f2573,f711,f20336]) ).

fof(f20336,plain,
    ( spl69_1212
  <=> ! [X0] :
        ( app(X0,sK20) = app(app(X0,nil),sK20)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1212])]) ).

fof(f2573,plain,
    ( spl69_246
  <=> sK20 = app(nil,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_246])]) ).

fof(f3744,plain,
    ( spl69_315
  <=> ! [X0,X1] :
        ( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_315])]) ).

fof(f3832,plain,
    ( ! [X0] :
        ( app(X0,sK20) = app(app(X0,nil),sK20)
        | ~ ssList(X0) )
    | ~ spl69_14
    | ~ spl69_246
    | ~ spl69_315 ),
    inference(forward_demodulation,[],[f3797,f2575]) ).

fof(f2575,plain,
    ( sK20 = app(nil,sK20)
    | ~ spl69_246 ),
    inference(avatar_component_clause,[],[f2573]) ).

fof(f3797,plain,
    ( ! [X0] :
        ( app(app(X0,nil),sK20) = app(X0,app(nil,sK20))
        | ~ ssList(X0) )
    | ~ spl69_14
    | ~ spl69_315 ),
    inference(resolution,[],[f3745,f713]) ).

fof(f713,plain,
    ( ssList(nil)
    | ~ spl69_14 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f3745,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
        | ~ ssList(X0) )
    | ~ spl69_315 ),
    inference(avatar_component_clause,[],[f3744]) ).

fof(f20334,plain,
    ( spl69_1211
    | ~ spl69_14
    | ~ spl69_244
    | ~ spl69_313 ),
    inference(avatar_split_clause,[],[f3789,f3735,f2563,f711,f20332]) ).

fof(f20332,plain,
    ( spl69_1211
  <=> ! [X0] :
        ( cons(X0,sK20) = app(cons(X0,sK20),nil)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1211])]) ).

fof(f3735,plain,
    ( spl69_313
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_313])]) ).

fof(f3789,plain,
    ( ! [X0] :
        ( cons(X0,sK20) = app(cons(X0,sK20),nil)
        | ~ ssItem(X0) )
    | ~ spl69_14
    | ~ spl69_244
    | ~ spl69_313 ),
    inference(forward_demodulation,[],[f3755,f2565]) ).

fof(f3755,plain,
    ( ! [X0] :
        ( cons(X0,app(sK20,nil)) = app(cons(X0,sK20),nil)
        | ~ ssItem(X0) )
    | ~ spl69_14
    | ~ spl69_313 ),
    inference(resolution,[],[f3736,f713]) ).

fof(f3736,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
        | ~ ssItem(X0) )
    | ~ spl69_313 ),
    inference(avatar_component_clause,[],[f3735]) ).

fof(f20330,plain,
    ( spl69_1210
    | ~ spl69_16
    | ~ spl69_304 ),
    inference(avatar_split_clause,[],[f3624,f3551,f721,f20327]) ).

fof(f20327,plain,
    ( spl69_1210
  <=> cons(sK68,sK25(sK20)) = app(cons(sK68,nil),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1210])]) ).

fof(f721,plain,
    ( spl69_16
  <=> ssItem(sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).

fof(f3551,plain,
    ( spl69_304
  <=> ! [X0] :
        ( cons(X0,sK25(sK20)) = app(cons(X0,nil),sK25(sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_304])]) ).

fof(f3624,plain,
    ( cons(sK68,sK25(sK20)) = app(cons(sK68,nil),sK25(sK20))
    | ~ spl69_16
    | ~ spl69_304 ),
    inference(resolution,[],[f3552,f723]) ).

fof(f723,plain,
    ( ssItem(sK68)
    | ~ spl69_16 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f3552,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK25(sK20)) = app(cons(X0,nil),sK25(sK20)) )
    | ~ spl69_304 ),
    inference(avatar_component_clause,[],[f3551]) ).

fof(f20325,plain,
    ( spl69_1209
    | ~ spl69_15
    | ~ spl69_304 ),
    inference(avatar_split_clause,[],[f3623,f3551,f716,f20322]) ).

fof(f20322,plain,
    ( spl69_1209
  <=> cons(sK67,sK25(sK20)) = app(cons(sK67,nil),sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1209])]) ).

fof(f716,plain,
    ( spl69_15
  <=> ssItem(sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).

fof(f3623,plain,
    ( cons(sK67,sK25(sK20)) = app(cons(sK67,nil),sK25(sK20))
    | ~ spl69_15
    | ~ spl69_304 ),
    inference(resolution,[],[f3552,f718]) ).

fof(f718,plain,
    ( ssItem(sK67)
    | ~ spl69_15 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f20307,plain,
    ( spl69_252
    | spl69_1208
    | ~ spl69_1
    | ~ spl69_268
    | ~ spl69_303 ),
    inference(avatar_split_clause,[],[f3600,f3547,f3058,f647,f20304,f2763]) ).

fof(f20304,plain,
    ( spl69_1208
  <=> sK24(sK20) = hd(app(sK20,sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1208])]) ).

fof(f3547,plain,
    ( spl69_303
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK20)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_303])]) ).

fof(f3600,plain,
    ( sK24(sK20) = hd(app(sK20,sK25(sK20)))
    | nil = sK20
    | ~ spl69_1
    | ~ spl69_268
    | ~ spl69_303 ),
    inference(forward_demodulation,[],[f3565,f3060]) ).

fof(f3565,plain,
    ( nil = sK20
    | hd(sK20) = hd(app(sK20,sK25(sK20)))
    | ~ spl69_1
    | ~ spl69_303 ),
    inference(resolution,[],[f3548,f649]) ).

fof(f3548,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | hd(X0) = hd(app(X0,sK25(sK20))) )
    | ~ spl69_303 ),
    inference(avatar_component_clause,[],[f3547]) ).

fof(f20302,plain,
    ( spl69_1207
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_291 ),
    inference(avatar_split_clause,[],[f3479,f3410,f3058,f2793,f20299]) ).

fof(f20299,plain,
    ( spl69_1207
  <=> cons(sK24(sK20),sK20) = app(cons(sK24(sK20),nil),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1207])]) ).

fof(f3410,plain,
    ( spl69_291
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK20) = app(cons(X0,nil),sK20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_291])]) ).

fof(f3479,plain,
    ( cons(sK24(sK20),sK20) = app(cons(sK24(sK20),nil),sK20)
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_291 ),
    inference(forward_demodulation,[],[f3459,f3060]) ).

fof(f3459,plain,
    ( cons(hd(sK20),sK20) = app(cons(hd(sK20),nil),sK20)
    | ~ spl69_254
    | ~ spl69_291 ),
    inference(resolution,[],[f3411,f2794]) ).

fof(f3411,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK20) = app(cons(X0,nil),sK20) )
    | ~ spl69_291 ),
    inference(avatar_component_clause,[],[f3410]) ).

fof(f20297,plain,
    ( spl69_1206
    | ~ spl69_71
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3404,f3383,f968,f20295]) ).

fof(f20295,plain,
    ( spl69_1206
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK57(X0),sK25(sK20)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1206])]) ).

fof(f968,plain,
    ( spl69_71
  <=> ! [X0] :
        ( sP16(X0)
        | ssItem(sK57(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_71])]) ).

fof(f3383,plain,
    ( spl69_290
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(X0,sK25(sK20)))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_290])]) ).

fof(f3404,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK57(X0),sK25(sK20)))
        | sP16(X0) )
    | ~ spl69_71
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f969]) ).

fof(f969,plain,
    ( ! [X0] :
        ( ssItem(sK57(X0))
        | sP16(X0) )
    | ~ spl69_71 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f3384,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK25(sK20) = tl(cons(X0,sK25(sK20))) )
    | ~ spl69_290 ),
    inference(avatar_component_clause,[],[f3383]) ).

fof(f20293,plain,
    ( spl69_1205
    | ~ spl69_70
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3403,f3383,f964,f20291]) ).

fof(f20291,plain,
    ( spl69_1205
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK56(X0),sK25(sK20)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1205])]) ).

fof(f964,plain,
    ( spl69_70
  <=> ! [X0] :
        ( sP16(X0)
        | ssItem(sK56(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_70])]) ).

fof(f3403,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK56(X0),sK25(sK20)))
        | sP16(X0) )
    | ~ spl69_70
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f965]) ).

fof(f965,plain,
    ( ! [X0] :
        ( ssItem(sK56(X0))
        | sP16(X0) )
    | ~ spl69_70 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f20289,plain,
    ( spl69_1204
    | ~ spl69_66
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3402,f3383,f948,f20287]) ).

fof(f20287,plain,
    ( spl69_1204
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK52(X0),sK25(sK20)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1204])]) ).

fof(f948,plain,
    ( spl69_66
  <=> ! [X0] :
        ( sP14(X0)
        | ssItem(sK52(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_66])]) ).

fof(f3402,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK52(X0),sK25(sK20)))
        | sP14(X0) )
    | ~ spl69_66
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f949]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ssItem(sK52(X0))
        | sP14(X0) )
    | ~ spl69_66 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f20285,plain,
    ( spl69_1203
    | ~ spl69_24
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19795,f19776,f755,f20282]) ).

fof(f20282,plain,
    ( spl69_1203
  <=> sP13(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1203])]) ).

fof(f19795,plain,
    ( sP13(sK22(sK20))
    | ~ spl69_24
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f756]) ).

fof(f20280,plain,
    ( spl69_1202
    | ~ spl69_65
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3401,f3383,f944,f20278]) ).

fof(f20278,plain,
    ( spl69_1202
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK51(X0),sK25(sK20)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1202])]) ).

fof(f944,plain,
    ( spl69_65
  <=> ! [X0] :
        ( sP14(X0)
        | ssItem(sK51(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_65])]) ).

fof(f3401,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK51(X0),sK25(sK20)))
        | sP14(X0) )
    | ~ spl69_65
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f945]) ).

fof(f945,plain,
    ( ! [X0] :
        ( ssItem(sK51(X0))
        | sP14(X0) )
    | ~ spl69_65 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f20276,plain,
    ( spl69_1201
    | ~ spl69_60
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3400,f3383,f923,f20274]) ).

fof(f20274,plain,
    ( spl69_1201
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK47(X0),sK25(sK20)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1201])]) ).

fof(f923,plain,
    ( spl69_60
  <=> ! [X0] :
        ( sP12(X0)
        | ssItem(sK47(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).

fof(f3400,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK47(X0),sK25(sK20)))
        | sP12(X0) )
    | ~ spl69_60
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f924]) ).

fof(f924,plain,
    ( ! [X0] :
        ( ssItem(sK47(X0))
        | sP12(X0) )
    | ~ spl69_60 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f20272,plain,
    ( spl69_1200
    | ~ spl69_59
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3399,f3383,f919,f20270]) ).

fof(f20270,plain,
    ( spl69_1200
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK46(X0),sK25(sK20)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1200])]) ).

fof(f919,plain,
    ( spl69_59
  <=> ! [X0] :
        ( sP12(X0)
        | ssItem(sK46(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).

fof(f3399,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK46(X0),sK25(sK20)))
        | sP12(X0) )
    | ~ spl69_59
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f920]) ).

fof(f920,plain,
    ( ! [X0] :
        ( ssItem(sK46(X0))
        | sP12(X0) )
    | ~ spl69_59 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f20268,plain,
    ( spl69_1199
    | ~ spl69_55
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3398,f3383,f903,f20266]) ).

fof(f20266,plain,
    ( spl69_1199
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK42(X0),sK25(sK20)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1199])]) ).

fof(f903,plain,
    ( spl69_55
  <=> ! [X0] :
        ( sP10(X0)
        | ssItem(sK42(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).

fof(f3398,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK42(X0),sK25(sK20)))
        | sP10(X0) )
    | ~ spl69_55
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f904]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ssItem(sK42(X0))
        | sP10(X0) )
    | ~ spl69_55 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f20264,plain,
    ( spl69_1198
    | ~ spl69_54
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3397,f3383,f899,f20262]) ).

fof(f20262,plain,
    ( spl69_1198
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK41(X0),sK25(sK20)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1198])]) ).

fof(f899,plain,
    ( spl69_54
  <=> ! [X0] :
        ( sP10(X0)
        | ssItem(sK41(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).

fof(f3397,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK41(X0),sK25(sK20)))
        | sP10(X0) )
    | ~ spl69_54
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f900]) ).

fof(f900,plain,
    ( ! [X0] :
        ( ssItem(sK41(X0))
        | sP10(X0) )
    | ~ spl69_54 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f20260,plain,
    ( spl69_1197
    | ~ spl69_49
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3396,f3383,f878,f20258]) ).

fof(f20258,plain,
    ( spl69_1197
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK37(X0),sK25(sK20)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1197])]) ).

fof(f878,plain,
    ( spl69_49
  <=> ! [X0] :
        ( sP8(X0)
        | ssItem(sK37(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).

fof(f3396,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK37(X0),sK25(sK20)))
        | sP8(X0) )
    | ~ spl69_49
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f879]) ).

fof(f879,plain,
    ( ! [X0] :
        ( ssItem(sK37(X0))
        | sP8(X0) )
    | ~ spl69_49 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f20256,plain,
    ( spl69_1196
    | ~ spl69_48
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3395,f3383,f874,f20254]) ).

fof(f20254,plain,
    ( spl69_1196
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK36(X0),sK25(sK20)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1196])]) ).

fof(f874,plain,
    ( spl69_48
  <=> ! [X0] :
        ( sP8(X0)
        | ssItem(sK36(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).

fof(f3395,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK36(X0),sK25(sK20)))
        | sP8(X0) )
    | ~ spl69_48
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f875]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ssItem(sK36(X0))
        | sP8(X0) )
    | ~ spl69_48 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f20252,plain,
    ( spl69_1195
    | ~ spl69_44
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3394,f3383,f858,f20250]) ).

fof(f20250,plain,
    ( spl69_1195
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK32(X0),sK25(sK20)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1195])]) ).

fof(f858,plain,
    ( spl69_44
  <=> ! [X0] :
        ( sP6(X0)
        | ssItem(sK32(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).

fof(f3394,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK32(X0),sK25(sK20)))
        | sP6(X0) )
    | ~ spl69_44
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f859]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ssItem(sK32(X0))
        | sP6(X0) )
    | ~ spl69_44 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f20248,plain,
    ( spl69_1194
    | ~ spl69_43
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3393,f3383,f854,f20246]) ).

fof(f20246,plain,
    ( spl69_1194
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK31(X0),sK25(sK20)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1194])]) ).

fof(f854,plain,
    ( spl69_43
  <=> ! [X0] :
        ( sP6(X0)
        | ssItem(sK31(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).

fof(f3393,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK31(X0),sK25(sK20)))
        | sP6(X0) )
    | ~ spl69_43
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f855]) ).

fof(f855,plain,
    ( ! [X0] :
        ( ssItem(sK31(X0))
        | sP6(X0) )
    | ~ spl69_43 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f20244,plain,
    ( spl69_1193
    | ~ spl69_40
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3392,f3383,f842,f20242]) ).

fof(f20242,plain,
    ( spl69_1193
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK28(X0),sK25(sK20)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1193])]) ).

fof(f842,plain,
    ( spl69_40
  <=> ! [X0] :
        ( sP4(X0)
        | ssItem(sK28(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).

fof(f3392,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK28(X0),sK25(sK20)))
        | sP4(X0) )
    | ~ spl69_40
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f843]) ).

fof(f843,plain,
    ( ! [X0] :
        ( ssItem(sK28(X0))
        | sP4(X0) )
    | ~ spl69_40 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f20240,plain,
    ( spl69_1192
    | ~ spl69_23
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19794,f19776,f751,f20237]) ).

fof(f20237,plain,
    ( spl69_1192
  <=> sP11(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1192])]) ).

fof(f19794,plain,
    ( sP11(sK22(sK20))
    | ~ spl69_23
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f752]) ).

fof(f20235,plain,
    ( spl69_1191
    | ~ spl69_39
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3391,f3383,f838,f20233]) ).

fof(f20233,plain,
    ( spl69_1191
  <=> ! [X0] :
        ( sK25(sK20) = tl(cons(sK27(X0),sK25(sK20)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1191])]) ).

fof(f838,plain,
    ( spl69_39
  <=> ! [X0] :
        ( sP4(X0)
        | ssItem(sK27(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).

fof(f3391,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(sK27(X0),sK25(sK20)))
        | sP4(X0) )
    | ~ spl69_39
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f839]) ).

fof(f839,plain,
    ( ! [X0] :
        ( ssItem(sK27(X0))
        | sP4(X0) )
    | ~ spl69_39 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f20231,plain,
    ( spl69_1190
    | ~ spl69_71
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3286,f3265,f968,f20229]) ).

fof(f20229,plain,
    ( spl69_1190
  <=> ! [X0] :
        ( sK57(X0) = hd(cons(sK57(X0),sK25(sK20)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1190])]) ).

fof(f3265,plain,
    ( spl69_285
  <=> ! [X0] :
        ( hd(cons(X0,sK25(sK20))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_285])]) ).

fof(f3286,plain,
    ( ! [X0] :
        ( sK57(X0) = hd(cons(sK57(X0),sK25(sK20)))
        | sP16(X0) )
    | ~ spl69_71
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f969]) ).

fof(f3266,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK25(sK20))) = X0 )
    | ~ spl69_285 ),
    inference(avatar_component_clause,[],[f3265]) ).

fof(f20227,plain,
    ( spl69_1189
    | ~ spl69_70
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3285,f3265,f964,f20225]) ).

fof(f20225,plain,
    ( spl69_1189
  <=> ! [X0] :
        ( sK56(X0) = hd(cons(sK56(X0),sK25(sK20)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1189])]) ).

fof(f3285,plain,
    ( ! [X0] :
        ( sK56(X0) = hd(cons(sK56(X0),sK25(sK20)))
        | sP16(X0) )
    | ~ spl69_70
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f965]) ).

fof(f20223,plain,
    ( spl69_1188
    | ~ spl69_66
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3284,f3265,f948,f20221]) ).

fof(f20221,plain,
    ( spl69_1188
  <=> ! [X0] :
        ( sK52(X0) = hd(cons(sK52(X0),sK25(sK20)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1188])]) ).

fof(f3284,plain,
    ( ! [X0] :
        ( sK52(X0) = hd(cons(sK52(X0),sK25(sK20)))
        | sP14(X0) )
    | ~ spl69_66
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f949]) ).

fof(f20219,plain,
    ( spl69_1187
    | ~ spl69_65
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3283,f3265,f944,f20217]) ).

fof(f20217,plain,
    ( spl69_1187
  <=> ! [X0] :
        ( sK51(X0) = hd(cons(sK51(X0),sK25(sK20)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1187])]) ).

fof(f3283,plain,
    ( ! [X0] :
        ( sK51(X0) = hd(cons(sK51(X0),sK25(sK20)))
        | sP14(X0) )
    | ~ spl69_65
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f945]) ).

fof(f20215,plain,
    ( spl69_1186
    | ~ spl69_60
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3282,f3265,f923,f20213]) ).

fof(f20213,plain,
    ( spl69_1186
  <=> ! [X0] :
        ( sK47(X0) = hd(cons(sK47(X0),sK25(sK20)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1186])]) ).

fof(f3282,plain,
    ( ! [X0] :
        ( sK47(X0) = hd(cons(sK47(X0),sK25(sK20)))
        | sP12(X0) )
    | ~ spl69_60
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f924]) ).

fof(f20211,plain,
    ( spl69_1185
    | ~ spl69_59
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3281,f3265,f919,f20209]) ).

fof(f20209,plain,
    ( spl69_1185
  <=> ! [X0] :
        ( sK46(X0) = hd(cons(sK46(X0),sK25(sK20)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1185])]) ).

fof(f3281,plain,
    ( ! [X0] :
        ( sK46(X0) = hd(cons(sK46(X0),sK25(sK20)))
        | sP12(X0) )
    | ~ spl69_59
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f920]) ).

fof(f20207,plain,
    ( spl69_1184
    | ~ spl69_55
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3280,f3265,f903,f20205]) ).

fof(f20205,plain,
    ( spl69_1184
  <=> ! [X0] :
        ( sK42(X0) = hd(cons(sK42(X0),sK25(sK20)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1184])]) ).

fof(f3280,plain,
    ( ! [X0] :
        ( sK42(X0) = hd(cons(sK42(X0),sK25(sK20)))
        | sP10(X0) )
    | ~ spl69_55
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f904]) ).

fof(f20203,plain,
    ( spl69_1183
    | ~ spl69_54
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3279,f3265,f899,f20201]) ).

fof(f20201,plain,
    ( spl69_1183
  <=> ! [X0] :
        ( sK41(X0) = hd(cons(sK41(X0),sK25(sK20)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1183])]) ).

fof(f3279,plain,
    ( ! [X0] :
        ( sK41(X0) = hd(cons(sK41(X0),sK25(sK20)))
        | sP10(X0) )
    | ~ spl69_54
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f900]) ).

fof(f20199,plain,
    ( spl69_1182
    | ~ spl69_49
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3278,f3265,f878,f20197]) ).

fof(f20197,plain,
    ( spl69_1182
  <=> ! [X0] :
        ( sK37(X0) = hd(cons(sK37(X0),sK25(sK20)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1182])]) ).

fof(f3278,plain,
    ( ! [X0] :
        ( sK37(X0) = hd(cons(sK37(X0),sK25(sK20)))
        | sP8(X0) )
    | ~ spl69_49
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f879]) ).

fof(f20195,plain,
    ( spl69_1181
    | ~ spl69_22
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19793,f19776,f747,f20192]) ).

fof(f20192,plain,
    ( spl69_1181
  <=> sP9(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1181])]) ).

fof(f19793,plain,
    ( sP9(sK22(sK20))
    | ~ spl69_22
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f748]) ).

fof(f20190,plain,
    ( spl69_1180
    | ~ spl69_48
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3277,f3265,f874,f20188]) ).

fof(f20188,plain,
    ( spl69_1180
  <=> ! [X0] :
        ( sK36(X0) = hd(cons(sK36(X0),sK25(sK20)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1180])]) ).

fof(f3277,plain,
    ( ! [X0] :
        ( sK36(X0) = hd(cons(sK36(X0),sK25(sK20)))
        | sP8(X0) )
    | ~ spl69_48
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f875]) ).

fof(f20186,plain,
    ( spl69_1179
    | ~ spl69_44
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3276,f3265,f858,f20184]) ).

fof(f20184,plain,
    ( spl69_1179
  <=> ! [X0] :
        ( sK32(X0) = hd(cons(sK32(X0),sK25(sK20)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1179])]) ).

fof(f3276,plain,
    ( ! [X0] :
        ( sK32(X0) = hd(cons(sK32(X0),sK25(sK20)))
        | sP6(X0) )
    | ~ spl69_44
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f859]) ).

fof(f20182,plain,
    ( spl69_1178
    | ~ spl69_43
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3275,f3265,f854,f20180]) ).

fof(f20180,plain,
    ( spl69_1178
  <=> ! [X0] :
        ( sK31(X0) = hd(cons(sK31(X0),sK25(sK20)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1178])]) ).

fof(f3275,plain,
    ( ! [X0] :
        ( sK31(X0) = hd(cons(sK31(X0),sK25(sK20)))
        | sP6(X0) )
    | ~ spl69_43
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f855]) ).

fof(f20178,plain,
    ( spl69_1177
    | ~ spl69_40
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3274,f3265,f842,f20176]) ).

fof(f20176,plain,
    ( spl69_1177
  <=> ! [X0] :
        ( sK28(X0) = hd(cons(sK28(X0),sK25(sK20)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1177])]) ).

fof(f3274,plain,
    ( ! [X0] :
        ( sK28(X0) = hd(cons(sK28(X0),sK25(sK20)))
        | sP4(X0) )
    | ~ spl69_40
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f843]) ).

fof(f20174,plain,
    ( spl69_1176
    | ~ spl69_39
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3273,f3265,f838,f20172]) ).

fof(f20172,plain,
    ( spl69_1176
  <=> ! [X0] :
        ( sK27(X0) = hd(cons(sK27(X0),sK25(sK20)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1176])]) ).

fof(f3273,plain,
    ( ! [X0] :
        ( sK27(X0) = hd(cons(sK27(X0),sK25(sK20)))
        | sP4(X0) )
    | ~ spl69_39
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f839]) ).

fof(f20170,plain,
    ( spl69_1175
    | ~ spl69_113
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3157,f3090,f1288,f20168]) ).

fof(f20168,plain,
    ( spl69_1175
  <=> ! [X0] :
        ( sK20 = tl(cons(sK26(X0),sK20))
        | ~ singletonP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1175])]) ).

fof(f1288,plain,
    ( spl69_113
  <=> ! [X0] :
        ( ssItem(sK26(X0))
        | ~ singletonP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_113])]) ).

fof(f3090,plain,
    ( spl69_270
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | sK20 = tl(cons(X0,sK20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_270])]) ).

fof(f3157,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK26(X0),sK20))
        | ~ singletonP(X0)
        | ~ ssList(X0) )
    | ~ spl69_113
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f1289]) ).

fof(f1289,plain,
    ( ! [X0] :
        ( ssItem(sK26(X0))
        | ~ singletonP(X0)
        | ~ ssList(X0) )
    | ~ spl69_113 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f3091,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK20 = tl(cons(X0,sK20)) )
    | ~ spl69_270 ),
    inference(avatar_component_clause,[],[f3090]) ).

fof(f20165,plain,
    ( spl69_1174
    | ~ spl69_164
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2991,f2961,f1618,f20163]) ).

fof(f20163,plain,
    ( spl69_1174
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(hd(sK20),nil))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1174])]) ).

fof(f2961,plain,
    ( spl69_263
  <=> ssList(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_263])]) ).

fof(f2991,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(hd(sK20),nil))) = X0 )
    | ~ spl69_164
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f1619]) ).

fof(f2962,plain,
    ( ssList(cons(hd(sK20),nil))
    | ~ spl69_263 ),
    inference(avatar_component_clause,[],[f2961]) ).

fof(f20160,plain,
    ( spl69_1173
    | ~ spl69_112
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2987,f2961,f1284,f20157]) ).

fof(f20157,plain,
    ( spl69_1173
  <=> cons(hd(sK20),nil) = app(nil,cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1173])]) ).

fof(f2987,plain,
    ( cons(hd(sK20),nil) = app(nil,cons(hd(sK20),nil))
    | ~ spl69_112
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f1285]) ).

fof(f20154,plain,
    ( spl69_1172
    | ~ spl69_111
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2986,f2961,f1280,f20151]) ).

fof(f20151,plain,
    ( spl69_1172
  <=> cons(hd(sK20),nil) = app(cons(hd(sK20),nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1172])]) ).

fof(f2986,plain,
    ( cons(hd(sK20),nil) = app(cons(hd(sK20),nil),nil)
    | ~ spl69_111
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f1281]) ).

fof(f20145,plain,
    ( spl69_1171
    | ~ spl69_21
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19792,f19776,f743,f20142]) ).

fof(f20142,plain,
    ( spl69_1171
  <=> sP7(sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1171])]) ).

fof(f19792,plain,
    ( sP7(sK22(sK20))
    | ~ spl69_21
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f744]) ).

fof(f20093,plain,
    ( spl69_1170
    | ~ spl69_20
    | ~ spl69_1165 ),
    inference(avatar_split_clause,[],[f19791,f19776,f739,f20090]) ).

fof(f19791,plain,
    ( sP5(sK22(sK20))
    | ~ spl69_20
    | ~ spl69_1165 ),
    inference(resolution,[],[f19777,f740]) ).

fof(f20046,plain,
    ( ~ spl69_14
    | ~ spl69_1
    | spl69_1169
    | ~ spl69_244
    | ~ spl69_659 ),
    inference(avatar_split_clause,[],[f6889,f6883,f2563,f20043,f647,f711]) ).

fof(f20043,plain,
    ( spl69_1169
  <=> segmentP(sK20,cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1169])]) ).

fof(f6883,plain,
    ( spl69_659
  <=> ! [X0] :
        ( segmentP(app(sK20,X0),cons(sK24(sK20),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_659])]) ).

fof(f6889,plain,
    ( segmentP(sK20,cons(sK24(sK20),nil))
    | ~ ssList(sK20)
    | ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_659 ),
    inference(superposition,[],[f6884,f2565]) ).

fof(f6884,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(sK24(sK20),nil))
        | ~ ssList(app(sK20,X0))
        | ~ ssList(X0) )
    | ~ spl69_659 ),
    inference(avatar_component_clause,[],[f6883]) ).

fof(f20025,plain,
    ( ~ spl69_310
    | spl69_1168
    | ~ spl69_14
    | ~ spl69_34
    | ~ spl69_653 ),
    inference(avatar_split_clause,[],[f6834,f6831,f818,f711,f20022,f3670]) ).

fof(f20022,plain,
    ( spl69_1168
  <=> rearsegP(sK20,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1168])]) ).

fof(f6831,plain,
    ( spl69_653
  <=> ! [X0] :
        ( rearsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ rearsegP(cons(sK24(sK20),nil),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_653])]) ).

fof(f6834,plain,
    ( ~ ssList(nil)
    | rearsegP(sK20,nil)
    | ~ ssList(cons(sK24(sK20),nil))
    | ~ spl69_34
    | ~ spl69_653 ),
    inference(resolution,[],[f6832,f819]) ).

fof(f6832,plain,
    ( ! [X0] :
        ( ~ rearsegP(cons(sK24(sK20),nil),X0)
        | ~ ssList(X0)
        | rearsegP(sK20,X0) )
    | ~ spl69_653 ),
    inference(avatar_component_clause,[],[f6831]) ).

fof(f19790,plain,
    ( ~ spl69_1
    | spl69_252
    | ~ spl69_126
    | spl69_1165 ),
    inference(avatar_split_clause,[],[f19784,f19776,f1392,f2763,f647]) ).

fof(f1392,plain,
    ( spl69_126
  <=> ! [X0] :
        ( ssList(sK22(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_126])]) ).

fof(f19784,plain,
    ( nil = sK20
    | ~ ssList(sK20)
    | ~ spl69_126
    | spl69_1165 ),
    inference(resolution,[],[f19778,f1393]) ).

fof(f1393,plain,
    ( ! [X0] :
        ( ssList(sK22(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_126 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f19778,plain,
    ( ~ ssList(sK22(sK20))
    | spl69_1165 ),
    inference(avatar_component_clause,[],[f19776]) ).

fof(f19789,plain,
    ( spl69_252
    | spl69_1167
    | ~ spl69_1
    | ~ spl69_268
    | ~ spl69_299 ),
    inference(avatar_split_clause,[],[f3532,f3481,f3058,f647,f19786,f2763]) ).

fof(f3481,plain,
    ( spl69_299
  <=> ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK20))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_299])]) ).

fof(f3532,plain,
    ( sK24(sK20) = hd(app(sK20,sK20))
    | nil = sK20
    | ~ spl69_1
    | ~ spl69_268
    | ~ spl69_299 ),
    inference(forward_demodulation,[],[f3495,f3060]) ).

fof(f3495,plain,
    ( hd(sK20) = hd(app(sK20,sK20))
    | nil = sK20
    | ~ spl69_1
    | ~ spl69_299 ),
    inference(resolution,[],[f3482,f649]) ).

fof(f3482,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | hd(X0) = hd(app(X0,sK20))
        | nil = X0 )
    | ~ spl69_299 ),
    inference(avatar_component_clause,[],[f3481]) ).

fof(f19783,plain,
    ( ~ spl69_1136
    | ~ spl69_1165
    | spl69_1166
    | ~ spl69_145
    | ~ spl69_286 ),
    inference(avatar_split_clause,[],[f3298,f3291,f1538,f19780,f19776,f19288]) ).

fof(f19288,plain,
    ( spl69_1136
  <=> ssItem(sK23(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1136])]) ).

fof(f19780,plain,
    ( spl69_1166
  <=> memberP(sK20,sK23(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1166])]) ).

fof(f1538,plain,
    ( spl69_145
  <=> ! [X2,X1] :
        ( memberP(cons(X1,X2),X1)
        | ~ ssList(X2)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_145])]) ).

fof(f3291,plain,
    ( spl69_286
  <=> sK20 = cons(sK23(sK20),sK22(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_286])]) ).

fof(f3298,plain,
    ( memberP(sK20,sK23(sK20))
    | ~ ssList(sK22(sK20))
    | ~ ssItem(sK23(sK20))
    | ~ spl69_145
    | ~ spl69_286 ),
    inference(superposition,[],[f1539,f3293]) ).

fof(f3293,plain,
    ( sK20 = cons(sK23(sK20),sK22(sK20))
    | ~ spl69_286 ),
    inference(avatar_component_clause,[],[f3291]) ).

fof(f1539,plain,
    ( ! [X2,X1] :
        ( memberP(cons(X1,X2),X1)
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl69_145 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f19774,plain,
    ( spl69_1164
    | ~ spl69_71
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3193,f3099,f968,f19772]) ).

fof(f19772,plain,
    ( spl69_1164
  <=> ! [X0] :
        ( sK57(X0) = hd(cons(sK57(X0),sK20))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1164])]) ).

fof(f3099,plain,
    ( spl69_272
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK20)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_272])]) ).

fof(f3193,plain,
    ( ! [X0] :
        ( sK57(X0) = hd(cons(sK57(X0),sK20))
        | sP16(X0) )
    | ~ spl69_71
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f969]) ).

fof(f3100,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK20)) = X0 )
    | ~ spl69_272 ),
    inference(avatar_component_clause,[],[f3099]) ).

fof(f19770,plain,
    ( spl69_1163
    | ~ spl69_70
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3192,f3099,f964,f19768]) ).

fof(f19768,plain,
    ( spl69_1163
  <=> ! [X0] :
        ( sK56(X0) = hd(cons(sK56(X0),sK20))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1163])]) ).

fof(f3192,plain,
    ( ! [X0] :
        ( sK56(X0) = hd(cons(sK56(X0),sK20))
        | sP16(X0) )
    | ~ spl69_70
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f965]) ).

fof(f19766,plain,
    ( spl69_1162
    | ~ spl69_66
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3191,f3099,f948,f19764]) ).

fof(f19764,plain,
    ( spl69_1162
  <=> ! [X0] :
        ( sK52(X0) = hd(cons(sK52(X0),sK20))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1162])]) ).

fof(f3191,plain,
    ( ! [X0] :
        ( sK52(X0) = hd(cons(sK52(X0),sK20))
        | sP14(X0) )
    | ~ spl69_66
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f949]) ).

fof(f19762,plain,
    ( spl69_1161
    | ~ spl69_65
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3190,f3099,f944,f19760]) ).

fof(f19760,plain,
    ( spl69_1161
  <=> ! [X0] :
        ( sK51(X0) = hd(cons(sK51(X0),sK20))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1161])]) ).

fof(f3190,plain,
    ( ! [X0] :
        ( sK51(X0) = hd(cons(sK51(X0),sK20))
        | sP14(X0) )
    | ~ spl69_65
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f945]) ).

fof(f19758,plain,
    ( spl69_1160
    | ~ spl69_60
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3189,f3099,f923,f19756]) ).

fof(f19756,plain,
    ( spl69_1160
  <=> ! [X0] :
        ( sK47(X0) = hd(cons(sK47(X0),sK20))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1160])]) ).

fof(f3189,plain,
    ( ! [X0] :
        ( sK47(X0) = hd(cons(sK47(X0),sK20))
        | sP12(X0) )
    | ~ spl69_60
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f924]) ).

fof(f19754,plain,
    ( spl69_1159
    | ~ spl69_59
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3188,f3099,f919,f19752]) ).

fof(f19752,plain,
    ( spl69_1159
  <=> ! [X0] :
        ( sK46(X0) = hd(cons(sK46(X0),sK20))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1159])]) ).

fof(f3188,plain,
    ( ! [X0] :
        ( sK46(X0) = hd(cons(sK46(X0),sK20))
        | sP12(X0) )
    | ~ spl69_59
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f920]) ).

fof(f19750,plain,
    ( spl69_1158
    | spl69_217
    | ~ spl69_531 ),
    inference(avatar_split_clause,[],[f5641,f5466,f2322,f19747]) ).

fof(f19747,plain,
    ( spl69_1158
  <=> sK34(sK20) = app(sK34(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1158])]) ).

fof(f2322,plain,
    ( spl69_217
  <=> sP6(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_217])]) ).

fof(f5466,plain,
    ( spl69_531
  <=> ! [X0] :
        ( sK34(X0) = app(sK34(X0),nil)
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_531])]) ).

fof(f5641,plain,
    ( sK34(sK20) = app(sK34(sK20),nil)
    | spl69_217
    | ~ spl69_531 ),
    inference(resolution,[],[f5467,f2324]) ).

fof(f2324,plain,
    ( ~ sP6(sK20)
    | spl69_217 ),
    inference(avatar_component_clause,[],[f2322]) ).

fof(f5467,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sK34(X0) = app(sK34(X0),nil) )
    | ~ spl69_531 ),
    inference(avatar_component_clause,[],[f5466]) ).

fof(f19745,plain,
    ( spl69_1157
    | ~ spl69_55
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3187,f3099,f903,f19743]) ).

fof(f19743,plain,
    ( spl69_1157
  <=> ! [X0] :
        ( sK42(X0) = hd(cons(sK42(X0),sK20))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1157])]) ).

fof(f3187,plain,
    ( ! [X0] :
        ( sK42(X0) = hd(cons(sK42(X0),sK20))
        | sP10(X0) )
    | ~ spl69_55
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f904]) ).

fof(f19741,plain,
    ( spl69_1156
    | ~ spl69_54
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3186,f3099,f899,f19739]) ).

fof(f19739,plain,
    ( spl69_1156
  <=> ! [X0] :
        ( sK41(X0) = hd(cons(sK41(X0),sK20))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1156])]) ).

fof(f3186,plain,
    ( ! [X0] :
        ( sK41(X0) = hd(cons(sK41(X0),sK20))
        | sP10(X0) )
    | ~ spl69_54
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f900]) ).

fof(f19737,plain,
    ( spl69_1155
    | ~ spl69_49
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3185,f3099,f878,f19735]) ).

fof(f19735,plain,
    ( spl69_1155
  <=> ! [X0] :
        ( sK37(X0) = hd(cons(sK37(X0),sK20))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1155])]) ).

fof(f3185,plain,
    ( ! [X0] :
        ( sK37(X0) = hd(cons(sK37(X0),sK20))
        | sP8(X0) )
    | ~ spl69_49
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f879]) ).

fof(f19733,plain,
    ( spl69_1154
    | ~ spl69_48
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3184,f3099,f874,f19731]) ).

fof(f19731,plain,
    ( spl69_1154
  <=> ! [X0] :
        ( sK36(X0) = hd(cons(sK36(X0),sK20))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1154])]) ).

fof(f3184,plain,
    ( ! [X0] :
        ( sK36(X0) = hd(cons(sK36(X0),sK20))
        | sP8(X0) )
    | ~ spl69_48
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f875]) ).

fof(f19729,plain,
    ( spl69_1153
    | ~ spl69_44
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3183,f3099,f858,f19727]) ).

fof(f19727,plain,
    ( spl69_1153
  <=> ! [X0] :
        ( sK32(X0) = hd(cons(sK32(X0),sK20))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1153])]) ).

fof(f3183,plain,
    ( ! [X0] :
        ( sK32(X0) = hd(cons(sK32(X0),sK20))
        | sP6(X0) )
    | ~ spl69_44
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f859]) ).

fof(f19725,plain,
    ( spl69_1152
    | ~ spl69_43
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3182,f3099,f854,f19723]) ).

fof(f19723,plain,
    ( spl69_1152
  <=> ! [X0] :
        ( sK31(X0) = hd(cons(sK31(X0),sK20))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1152])]) ).

fof(f3182,plain,
    ( ! [X0] :
        ( sK31(X0) = hd(cons(sK31(X0),sK20))
        | sP6(X0) )
    | ~ spl69_43
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f855]) ).

fof(f19721,plain,
    ( spl69_1151
    | ~ spl69_40
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3181,f3099,f842,f19719]) ).

fof(f19719,plain,
    ( spl69_1151
  <=> ! [X0] :
        ( sK28(X0) = hd(cons(sK28(X0),sK20))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1151])]) ).

fof(f3181,plain,
    ( ! [X0] :
        ( sK28(X0) = hd(cons(sK28(X0),sK20))
        | sP4(X0) )
    | ~ spl69_40
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f843]) ).

fof(f19717,plain,
    ( spl69_1150
    | ~ spl69_39
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3180,f3099,f838,f19715]) ).

fof(f19715,plain,
    ( spl69_1150
  <=> ! [X0] :
        ( sK27(X0) = hd(cons(sK27(X0),sK20))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1150])]) ).

fof(f3180,plain,
    ( ! [X0] :
        ( sK27(X0) = hd(cons(sK27(X0),sK20))
        | sP4(X0) )
    | ~ spl69_39
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f839]) ).

fof(f19707,plain,
    ( spl69_252
    | spl69_1149
    | ~ spl69_156
    | ~ spl69_268 ),
    inference(avatar_split_clause,[],[f3067,f3058,f1586,f19705,f2763]) ).

fof(f19705,plain,
    ( spl69_1149
  <=> ! [X0] :
        ( leq(X0,sK24(sK20))
        | ~ sP0(sK20,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1149])]) ).

fof(f1586,plain,
    ( spl69_156
  <=> ! [X0,X1] :
        ( leq(X1,hd(X0))
        | nil = X0
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_156])]) ).

fof(f3067,plain,
    ( ! [X0] :
        ( leq(X0,sK24(sK20))
        | nil = sK20
        | ~ sP0(sK20,X0) )
    | ~ spl69_156
    | ~ spl69_268 ),
    inference(superposition,[],[f1587,f3060]) ).

fof(f1587,plain,
    ( ! [X0,X1] :
        ( leq(X1,hd(X0))
        | nil = X0
        | ~ sP0(X0,X1) )
    | ~ spl69_156 ),
    inference(avatar_component_clause,[],[f1586]) ).

fof(f19696,plain,
    ( spl69_252
    | spl69_1148
    | ~ spl69_159
    | ~ spl69_268 ),
    inference(avatar_split_clause,[],[f3066,f3058,f1598,f19694,f2763]) ).

fof(f19694,plain,
    ( spl69_1148
  <=> ! [X0] :
        ( lt(X0,sK24(sK20))
        | ~ sP2(sK20,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1148])]) ).

fof(f1598,plain,
    ( spl69_159
  <=> ! [X0,X1] :
        ( lt(X1,hd(X0))
        | nil = X0
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_159])]) ).

fof(f3066,plain,
    ( ! [X0] :
        ( lt(X0,sK24(sK20))
        | nil = sK20
        | ~ sP2(sK20,X0) )
    | ~ spl69_159
    | ~ spl69_268 ),
    inference(superposition,[],[f1599,f3060]) ).

fof(f1599,plain,
    ( ! [X0,X1] :
        ( lt(X1,hd(X0))
        | nil = X0
        | ~ sP2(X0,X1) )
    | ~ spl69_159 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f19491,plain,
    ( spl69_1147
    | spl69_217
    | ~ spl69_530 ),
    inference(avatar_split_clause,[],[f5635,f5462,f2322,f19488]) ).

fof(f19488,plain,
    ( spl69_1147
  <=> sK33(sK20) = app(sK33(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1147])]) ).

fof(f5462,plain,
    ( spl69_530
  <=> ! [X0] :
        ( sK33(X0) = app(sK33(X0),nil)
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_530])]) ).

fof(f5635,plain,
    ( sK33(sK20) = app(sK33(sK20),nil)
    | spl69_217
    | ~ spl69_530 ),
    inference(resolution,[],[f5463,f2324]) ).

fof(f5463,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sK33(X0) = app(sK33(X0),nil) )
    | ~ spl69_530 ),
    inference(avatar_component_clause,[],[f5462]) ).

fof(f19438,plain,
    ( spl69_1146
    | spl69_182
    | ~ spl69_529 ),
    inference(avatar_split_clause,[],[f5633,f5458,f1992,f19435]) ).

fof(f19435,plain,
    ( spl69_1146
  <=> sK30(sK20) = app(sK30(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1146])]) ).

fof(f1992,plain,
    ( spl69_182
  <=> sP4(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_182])]) ).

fof(f5458,plain,
    ( spl69_529
  <=> ! [X0] :
        ( sK30(X0) = app(sK30(X0),nil)
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_529])]) ).

fof(f5633,plain,
    ( sK30(sK20) = app(sK30(sK20),nil)
    | spl69_182
    | ~ spl69_529 ),
    inference(resolution,[],[f5459,f1993]) ).

fof(f1993,plain,
    ( ~ sP4(sK20)
    | spl69_182 ),
    inference(avatar_component_clause,[],[f1992]) ).

fof(f5459,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sK30(X0) = app(sK30(X0),nil) )
    | ~ spl69_529 ),
    inference(avatar_component_clause,[],[f5458]) ).

fof(f19406,plain,
    ( ~ spl69_14
    | spl69_1145
    | ~ spl69_297
    | ~ spl69_145
    | ~ spl69_651 ),
    inference(avatar_split_clause,[],[f6829,f6818,f1538,f3444,f19403,f711]) ).

fof(f19403,plain,
    ( spl69_1145
  <=> memberP(sK20,sK24(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1145])]) ).

fof(f6818,plain,
    ( spl69_651
  <=> ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sK24(sK20),nil),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_651])]) ).

fof(f6829,plain,
    ( ~ ssItem(sK24(sK20))
    | memberP(sK20,sK24(sK20))
    | ~ ssList(nil)
    | ~ spl69_145
    | ~ spl69_651 ),
    inference(duplicate_literal_removal,[],[f6826]) ).

fof(f6826,plain,
    ( ~ ssItem(sK24(sK20))
    | memberP(sK20,sK24(sK20))
    | ~ ssList(nil)
    | ~ ssItem(sK24(sK20))
    | ~ spl69_145
    | ~ spl69_651 ),
    inference(resolution,[],[f6819,f1539]) ).

fof(f6819,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sK24(sK20),nil),X0)
        | ~ ssItem(X0)
        | memberP(sK20,X0) )
    | ~ spl69_651 ),
    inference(avatar_component_clause,[],[f6818]) ).

fof(f19401,plain,
    ( spl69_1144
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_641 ),
    inference(avatar_split_clause,[],[f6192,f6151,f3070,f2758,f19398]) ).

fof(f19398,plain,
    ( spl69_1144
  <=> sK25(sK20) = app(nil,sK66(sK25(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1144])]) ).

fof(f6151,plain,
    ( spl69_641
  <=> ! [X0] :
        ( app(nil,sK66(X0,nil)) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_641])]) ).

fof(f6192,plain,
    ( sK25(sK20) = app(nil,sK66(sK25(sK20),nil))
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_641 ),
    inference(forward_demodulation,[],[f6159,f3072]) ).

fof(f6159,plain,
    ( tl(sK20) = app(nil,sK66(tl(sK20),nil))
    | ~ spl69_251
    | ~ spl69_641 ),
    inference(resolution,[],[f6152,f2760]) ).

fof(f6152,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(nil,sK66(X0,nil)) = X0 )
    | ~ spl69_641 ),
    inference(avatar_component_clause,[],[f6151]) ).

fof(f19396,plain,
    ( spl69_1143
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_640 ),
    inference(avatar_split_clause,[],[f6148,f6107,f3070,f2758,f19393]) ).

fof(f19393,plain,
    ( spl69_1143
  <=> sK25(sK20) = app(sK63(sK25(sK20),nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1143])]) ).

fof(f6107,plain,
    ( spl69_640
  <=> ! [X0] :
        ( app(sK63(X0,nil),nil) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_640])]) ).

fof(f6148,plain,
    ( sK25(sK20) = app(sK63(sK25(sK20),nil),nil)
    | ~ spl69_251
    | ~ spl69_269
    | ~ spl69_640 ),
    inference(forward_demodulation,[],[f6115,f3072]) ).

fof(f6115,plain,
    ( tl(sK20) = app(sK63(tl(sK20),nil),nil)
    | ~ spl69_251
    | ~ spl69_640 ),
    inference(resolution,[],[f6108,f2760]) ).

fof(f6108,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sK63(X0,nil),nil) = X0 )
    | ~ spl69_640 ),
    inference(avatar_component_clause,[],[f6107]) ).

fof(f19391,plain,
    ( ~ spl69_305
    | ~ spl69_1142
    | ~ spl69_275
    | ~ spl69_488 ),
    inference(avatar_split_clause,[],[f5084,f4988,f3124,f19388,f3555]) ).

fof(f19388,plain,
    ( spl69_1142
  <=> sK20 = app(sK20,sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1142])]) ).

fof(f5084,plain,
    ( sK20 != app(sK20,sK25(sK20))
    | ~ ssList(sK25(sK20))
    | ~ spl69_275
    | ~ spl69_488 ),
    inference(duplicate_literal_removal,[],[f5083]) ).

fof(f5083,plain,
    ( sK20 != app(sK20,sK25(sK20))
    | ~ ssList(sK25(sK20))
    | sK20 != app(sK20,sK25(sK20))
    | ~ spl69_275
    | ~ spl69_488 ),
    inference(superposition,[],[f4989,f3126]) ).

fof(f19386,plain,
    ( spl69_1141
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_288
    | ~ spl69_304 ),
    inference(avatar_split_clause,[],[f3626,f3551,f3338,f3058,f2793,f19383]) ).

fof(f3626,plain,
    ( sK20 = app(cons(sK24(sK20),nil),sK25(sK20))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_288
    | ~ spl69_304 ),
    inference(forward_demodulation,[],[f3625,f3340]) ).

fof(f3625,plain,
    ( cons(sK24(sK20),sK25(sK20)) = app(cons(sK24(sK20),nil),sK25(sK20))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_304 ),
    inference(forward_demodulation,[],[f3605,f3060]) ).

fof(f3605,plain,
    ( cons(hd(sK20),sK25(sK20)) = app(cons(hd(sK20),nil),sK25(sK20))
    | ~ spl69_254
    | ~ spl69_304 ),
    inference(resolution,[],[f3552,f2794]) ).

fof(f19381,plain,
    ( spl69_1140
    | ~ spl69_16
    | ~ spl69_291 ),
    inference(avatar_split_clause,[],[f3478,f3410,f721,f19378]) ).

fof(f19378,plain,
    ( spl69_1140
  <=> cons(sK68,sK20) = app(cons(sK68,nil),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1140])]) ).

fof(f3478,plain,
    ( cons(sK68,sK20) = app(cons(sK68,nil),sK20)
    | ~ spl69_16
    | ~ spl69_291 ),
    inference(resolution,[],[f3411,f723]) ).

fof(f19376,plain,
    ( spl69_1139
    | ~ spl69_15
    | ~ spl69_291 ),
    inference(avatar_split_clause,[],[f3477,f3410,f716,f19373]) ).

fof(f19373,plain,
    ( spl69_1139
  <=> cons(sK67,sK20) = app(cons(sK67,nil),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1139])]) ).

fof(f3477,plain,
    ( cons(sK67,sK20) = app(cons(sK67,nil),sK20)
    | ~ spl69_15
    | ~ spl69_291 ),
    inference(resolution,[],[f3411,f718]) ).

fof(f19302,plain,
    ( ~ spl69_1
    | spl69_252
    | ~ spl69_127
    | spl69_1136 ),
    inference(avatar_split_clause,[],[f19296,f19288,f1396,f2763,f647]) ).

fof(f1396,plain,
    ( spl69_127
  <=> ! [X0] :
        ( ssItem(sK23(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_127])]) ).

fof(f19296,plain,
    ( nil = sK20
    | ~ ssList(sK20)
    | ~ spl69_127
    | spl69_1136 ),
    inference(resolution,[],[f19290,f1397]) ).

fof(f1397,plain,
    ( ! [X0] :
        ( ssItem(sK23(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_127 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f19290,plain,
    ( ~ ssItem(sK23(sK20))
    | spl69_1136 ),
    inference(avatar_component_clause,[],[f19288]) ).

fof(f19301,plain,
    ( ~ spl69_1
    | ~ spl69_297
    | ~ spl69_1138
    | ~ spl69_144
    | ~ spl69_288 ),
    inference(avatar_split_clause,[],[f3376,f3338,f1534,f19298,f3444,f647]) ).

fof(f19298,plain,
    ( spl69_1138
  <=> sK20 = sK25(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1138])]) ).

fof(f1534,plain,
    ( spl69_144
  <=> ! [X0,X1] :
        ( cons(X1,X0) != X0
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_144])]) ).

fof(f3376,plain,
    ( sK20 != sK25(sK20)
    | ~ ssItem(sK24(sK20))
    | ~ ssList(sK20)
    | ~ spl69_144
    | ~ spl69_288 ),
    inference(inner_rewriting,[],[f3344]) ).

fof(f3344,plain,
    ( sK20 != sK25(sK20)
    | ~ ssItem(sK24(sK20))
    | ~ ssList(sK25(sK20))
    | ~ spl69_144
    | ~ spl69_288 ),
    inference(superposition,[],[f1535,f3340]) ).

fof(f1535,plain,
    ( ! [X0,X1] :
        ( cons(X1,X0) != X0
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_144 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f19295,plain,
    ( ~ spl69_1
    | ~ spl69_1136
    | ~ spl69_1137
    | ~ spl69_144
    | ~ spl69_286 ),
    inference(avatar_split_clause,[],[f3329,f3291,f1534,f19292,f19288,f647]) ).

fof(f19292,plain,
    ( spl69_1137
  <=> sK20 = sK22(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1137])]) ).

fof(f3329,plain,
    ( sK20 != sK22(sK20)
    | ~ ssItem(sK23(sK20))
    | ~ ssList(sK20)
    | ~ spl69_144
    | ~ spl69_286 ),
    inference(inner_rewriting,[],[f3297]) ).

fof(f3297,plain,
    ( sK20 != sK22(sK20)
    | ~ ssItem(sK23(sK20))
    | ~ ssList(sK22(sK20))
    | ~ spl69_144
    | ~ spl69_286 ),
    inference(superposition,[],[f1535,f3293]) ).

fof(f19285,plain,
    ( spl69_1135
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3289,f3265,f3058,f2793,f19282]) ).

fof(f3289,plain,
    ( sK24(sK20) = hd(cons(sK24(sK20),sK25(sK20)))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_285 ),
    inference(forward_demodulation,[],[f3269,f3060]) ).

fof(f3269,plain,
    ( hd(sK20) = hd(cons(hd(sK20),sK25(sK20)))
    | ~ spl69_254
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f2794]) ).

fof(f19280,plain,
    ( spl69_1134
    | ~ spl69_71
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3171,f3090,f968,f19278]) ).

fof(f19278,plain,
    ( spl69_1134
  <=> ! [X0] :
        ( sK20 = tl(cons(sK57(X0),sK20))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1134])]) ).

fof(f3171,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK57(X0),sK20))
        | sP16(X0) )
    | ~ spl69_71
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f969]) ).

fof(f19276,plain,
    ( spl69_1133
    | ~ spl69_70
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3170,f3090,f964,f19274]) ).

fof(f19274,plain,
    ( spl69_1133
  <=> ! [X0] :
        ( sK20 = tl(cons(sK56(X0),sK20))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1133])]) ).

fof(f3170,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK56(X0),sK20))
        | sP16(X0) )
    | ~ spl69_70
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f965]) ).

fof(f19272,plain,
    ( spl69_1132
    | ~ spl69_66
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3169,f3090,f948,f19270]) ).

fof(f19270,plain,
    ( spl69_1132
  <=> ! [X0] :
        ( sK20 = tl(cons(sK52(X0),sK20))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1132])]) ).

fof(f3169,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK52(X0),sK20))
        | sP14(X0) )
    | ~ spl69_66
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f949]) ).

fof(f19268,plain,
    ( spl69_1131
    | ~ spl69_65
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3168,f3090,f944,f19266]) ).

fof(f19266,plain,
    ( spl69_1131
  <=> ! [X0] :
        ( sK20 = tl(cons(sK51(X0),sK20))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1131])]) ).

fof(f3168,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK51(X0),sK20))
        | sP14(X0) )
    | ~ spl69_65
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f945]) ).

fof(f19264,plain,
    ( spl69_1122
    | spl69_182
    | ~ spl69_528 ),
    inference(avatar_split_clause,[],[f5629,f5454,f1992,f19200]) ).

fof(f19200,plain,
    ( spl69_1122
  <=> sK29(sK20) = app(sK29(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1122])]) ).

fof(f5454,plain,
    ( spl69_528
  <=> ! [X0] :
        ( sK29(X0) = app(sK29(X0),nil)
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_528])]) ).

fof(f5629,plain,
    ( sK29(sK20) = app(sK29(sK20),nil)
    | spl69_182
    | ~ spl69_528 ),
    inference(resolution,[],[f5455,f1993]) ).

fof(f5455,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sK29(X0) = app(sK29(X0),nil) )
    | ~ spl69_528 ),
    inference(avatar_component_clause,[],[f5454]) ).

fof(f19263,plain,
    ( spl69_1130
    | ~ spl69_60
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3167,f3090,f923,f19261]) ).

fof(f19261,plain,
    ( spl69_1130
  <=> ! [X0] :
        ( sK20 = tl(cons(sK47(X0),sK20))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1130])]) ).

fof(f3167,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK47(X0),sK20))
        | sP12(X0) )
    | ~ spl69_60
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f924]) ).

fof(f19259,plain,
    ( spl69_1129
    | ~ spl69_59
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3166,f3090,f919,f19257]) ).

fof(f19257,plain,
    ( spl69_1129
  <=> ! [X0] :
        ( sK20 = tl(cons(sK46(X0),sK20))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1129])]) ).

fof(f3166,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK46(X0),sK20))
        | sP12(X0) )
    | ~ spl69_59
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f920]) ).

fof(f19255,plain,
    ( spl69_1128
    | ~ spl69_55
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3165,f3090,f903,f19253]) ).

fof(f19253,plain,
    ( spl69_1128
  <=> ! [X0] :
        ( sK20 = tl(cons(sK42(X0),sK20))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1128])]) ).

fof(f3165,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK42(X0),sK20))
        | sP10(X0) )
    | ~ spl69_55
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f904]) ).

fof(f19251,plain,
    ( spl69_1127
    | ~ spl69_54
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3164,f3090,f899,f19249]) ).

fof(f19249,plain,
    ( spl69_1127
  <=> ! [X0] :
        ( sK20 = tl(cons(sK41(X0),sK20))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1127])]) ).

fof(f3164,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK41(X0),sK20))
        | sP10(X0) )
    | ~ spl69_54
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f900]) ).

fof(f19247,plain,
    ( spl69_1126
    | ~ spl69_49
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3163,f3090,f878,f19245]) ).

fof(f19245,plain,
    ( spl69_1126
  <=> ! [X0] :
        ( sK20 = tl(cons(sK37(X0),sK20))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1126])]) ).

fof(f3163,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK37(X0),sK20))
        | sP8(X0) )
    | ~ spl69_49
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f879]) ).

fof(f19243,plain,
    ( spl69_1125
    | ~ spl69_48
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3162,f3090,f874,f19241]) ).

fof(f19241,plain,
    ( spl69_1125
  <=> ! [X0] :
        ( sK20 = tl(cons(sK36(X0),sK20))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1125])]) ).

fof(f3162,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK36(X0),sK20))
        | sP8(X0) )
    | ~ spl69_48
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f875]) ).

fof(f19239,plain,
    ( spl69_1124
    | ~ spl69_44
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3161,f3090,f858,f19237]) ).

fof(f19237,plain,
    ( spl69_1124
  <=> ! [X0] :
        ( sK20 = tl(cons(sK32(X0),sK20))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1124])]) ).

fof(f3161,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK32(X0),sK20))
        | sP6(X0) )
    | ~ spl69_44
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f859]) ).

fof(f19235,plain,
    ( spl69_1123
    | ~ spl69_43
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3160,f3090,f854,f19233]) ).

fof(f19233,plain,
    ( spl69_1123
  <=> ! [X0] :
        ( sK20 = tl(cons(sK31(X0),sK20))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1123])]) ).

fof(f3160,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK31(X0),sK20))
        | sP6(X0) )
    | ~ spl69_43
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f855]) ).

fof(f19230,plain,
    ( spl69_183
    | ~ spl69_4
    | ~ spl69_198 ),
    inference(avatar_split_clause,[],[f19206,f2169,f662,f1996]) ).

fof(f1996,plain,
    ( spl69_183
  <=> equalelemsP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_183])]) ).

fof(f2169,plain,
    ( spl69_198
  <=> equalelemsP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_198])]) ).

fof(f19206,plain,
    ( equalelemsP(sK20)
    | ~ spl69_4
    | ~ spl69_198 ),
    inference(forward_demodulation,[],[f2171,f664]) ).

fof(f2171,plain,
    ( equalelemsP(sK21)
    | ~ spl69_198 ),
    inference(avatar_component_clause,[],[f2169]) ).

fof(f19207,plain,
    ( spl69_182
    | ~ spl69_4
    | ~ spl69_199 ),
    inference(avatar_split_clause,[],[f19205,f2173,f662,f1992]) ).

fof(f2173,plain,
    ( spl69_199
  <=> sP4(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_199])]) ).

fof(f19205,plain,
    ( sP4(sK20)
    | ~ spl69_4
    | ~ spl69_199 ),
    inference(forward_demodulation,[],[f2174,f664]) ).

fof(f2174,plain,
    ( sP4(sK21)
    | ~ spl69_199 ),
    inference(avatar_component_clause,[],[f2173]) ).

fof(f19203,plain,
    ( spl69_1122
    | ~ spl69_4
    | spl69_199
    | ~ spl69_528 ),
    inference(avatar_split_clause,[],[f5630,f5454,f2173,f662,f19200]) ).

fof(f5630,plain,
    ( sK29(sK20) = app(sK29(sK20),nil)
    | ~ spl69_4
    | spl69_199
    | ~ spl69_528 ),
    inference(forward_demodulation,[],[f5628,f664]) ).

fof(f5628,plain,
    ( sK29(sK21) = app(sK29(sK21),nil)
    | spl69_199
    | ~ spl69_528 ),
    inference(resolution,[],[f5455,f2175]) ).

fof(f2175,plain,
    ( ~ sP4(sK21)
    | spl69_199 ),
    inference(avatar_component_clause,[],[f2173]) ).

fof(f19198,plain,
    ( spl69_1121
    | ~ spl69_40
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3159,f3090,f842,f19196]) ).

fof(f19196,plain,
    ( spl69_1121
  <=> ! [X0] :
        ( sK20 = tl(cons(sK28(X0),sK20))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1121])]) ).

fof(f3159,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK28(X0),sK20))
        | sP4(X0) )
    | ~ spl69_40
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f843]) ).

fof(f19194,plain,
    ( spl69_1120
    | ~ spl69_39
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3158,f3090,f838,f19192]) ).

fof(f19192,plain,
    ( spl69_1120
  <=> ! [X0] :
        ( sK20 = tl(cons(sK27(X0),sK20))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1120])]) ).

fof(f3158,plain,
    ( ! [X0] :
        ( sK20 = tl(cons(sK27(X0),sK20))
        | sP4(X0) )
    | ~ spl69_39
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f839]) ).

fof(f19140,plain,
    ( spl69_1119
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_526 ),
    inference(avatar_split_clause,[],[f5452,f5218,f3058,f2793,f19137]) ).

fof(f19137,plain,
    ( spl69_1119
  <=> sK24(sK20) = hd(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1119])]) ).

fof(f5452,plain,
    ( sK24(sK20) = hd(cons(sK24(sK20),nil))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_526 ),
    inference(forward_demodulation,[],[f5431,f3060]) ).

fof(f19135,plain,
    ( spl69_1118
    | ~ spl69_16
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3406,f3383,f721,f19132]) ).

fof(f19132,plain,
    ( spl69_1118
  <=> sK25(sK20) = tl(cons(sK68,sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1118])]) ).

fof(f3406,plain,
    ( sK25(sK20) = tl(cons(sK68,sK25(sK20)))
    | ~ spl69_16
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f723]) ).

fof(f19130,plain,
    ( spl69_1117
    | ~ spl69_15
    | ~ spl69_290 ),
    inference(avatar_split_clause,[],[f3405,f3383,f716,f19127]) ).

fof(f19127,plain,
    ( spl69_1117
  <=> sK25(sK20) = tl(cons(sK67,sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1117])]) ).

fof(f3405,plain,
    ( sK25(sK20) = tl(cons(sK67,sK25(sK20)))
    | ~ spl69_15
    | ~ spl69_290 ),
    inference(resolution,[],[f3384,f718]) ).

fof(f19125,plain,
    ( spl69_1116
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3196,f3099,f3058,f2793,f19122]) ).

fof(f19122,plain,
    ( spl69_1116
  <=> sK24(sK20) = hd(cons(sK24(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1116])]) ).

fof(f3196,plain,
    ( sK24(sK20) = hd(cons(sK24(sK20),sK20))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_272 ),
    inference(forward_demodulation,[],[f3176,f3060]) ).

fof(f3176,plain,
    ( hd(sK20) = hd(cons(hd(sK20),sK20))
    | ~ spl69_254
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f2794]) ).

fof(f18852,plain,
    ( spl69_1115
    | ~ spl69_224
    | ~ spl69_243 ),
    inference(avatar_split_clause,[],[f2561,f2554,f2427,f18850]) ).

fof(f18850,plain,
    ( spl69_1115
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ leq(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | ~ leq(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1115])]) ).

fof(f2427,plain,
    ( spl69_224
  <=> ! [X0] :
        ( sP12(X0)
        | app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_224])]) ).

fof(f2561,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ leq(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | ~ leq(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
    | ~ spl69_224
    | ~ spl69_243 ),
    inference(resolution,[],[f2555,f2428]) ).

fof(f2428,plain,
    ( ! [X0] :
        ( sP12(X0)
        | app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 )
    | ~ spl69_224 ),
    inference(avatar_component_clause,[],[f2427]) ).

fof(f18848,plain,
    ( spl69_1114
    | ~ spl69_223
    | ~ spl69_242 ),
    inference(avatar_split_clause,[],[f2558,f2550,f2423,f18846]) ).

fof(f18846,plain,
    ( spl69_1114
  <=> ! [X4,X0,X3,X2,X1] :
        ( lt(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | lt(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1114])]) ).

fof(f2423,plain,
    ( spl69_223
  <=> ! [X0] :
        ( sP10(X0)
        | app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_223])]) ).

fof(f2558,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( lt(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | lt(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
    | ~ spl69_223
    | ~ spl69_242 ),
    inference(resolution,[],[f2551,f2424]) ).

fof(f2424,plain,
    ( ! [X0] :
        ( sP10(X0)
        | app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 )
    | ~ spl69_223 ),
    inference(avatar_component_clause,[],[f2423]) ).

fof(f18844,plain,
    ( spl69_1113
    | ~ spl69_222
    | ~ spl69_241 ),
    inference(avatar_split_clause,[],[f2557,f2546,f2419,f18842]) ).

fof(f18842,plain,
    ( spl69_1113
  <=> ! [X4,X0,X3,X2,X1] :
        ( leq(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | leq(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1113])]) ).

fof(f2419,plain,
    ( spl69_222
  <=> ! [X0] :
        ( sP8(X0)
        | app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_222])]) ).

fof(f2557,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( leq(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X1)
        | ~ ssItem(X0)
        | leq(X1,X0)
        | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
    | ~ spl69_222
    | ~ spl69_241 ),
    inference(resolution,[],[f2547,f2420]) ).

fof(f2420,plain,
    ( ! [X0] :
        ( sP8(X0)
        | app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 )
    | ~ spl69_222 ),
    inference(avatar_component_clause,[],[f2419]) ).

fof(f18745,plain,
    ( spl69_1112
    | ~ spl69_226
    | ~ spl69_240 ),
    inference(avatar_split_clause,[],[f2544,f2538,f2435,f18743]) ).

fof(f18743,plain,
    ( spl69_1112
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssItem(X3)
        | ~ ssItem(X4)
        | lt(X4,X3)
        | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1112])]) ).

fof(f2435,plain,
    ( spl69_226
  <=> ! [X0] :
        ( sP16(X0)
        | app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_226])]) ).

fof(f2544,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssItem(X3)
        | ~ ssItem(X4)
        | lt(X4,X3)
        | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))))) )
    | ~ spl69_226
    | ~ spl69_240 ),
    inference(resolution,[],[f2539,f2436]) ).

fof(f2436,plain,
    ( ! [X0] :
        ( sP16(X0)
        | app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 )
    | ~ spl69_226 ),
    inference(avatar_component_clause,[],[f2435]) ).

fof(f18741,plain,
    ( spl69_1111
    | ~ spl69_225
    | ~ spl69_239 ),
    inference(avatar_split_clause,[],[f2543,f2534,f2431,f18739]) ).

fof(f18739,plain,
    ( spl69_1111
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssItem(X3)
        | ~ ssItem(X4)
        | leq(X4,X3)
        | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1111])]) ).

fof(f2431,plain,
    ( spl69_225
  <=> ! [X0] :
        ( sP14(X0)
        | app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_225])]) ).

fof(f2543,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssItem(X3)
        | ~ ssItem(X4)
        | leq(X4,X3)
        | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))))) )
    | ~ spl69_225
    | ~ spl69_239 ),
    inference(resolution,[],[f2535,f2432]) ).

fof(f2432,plain,
    ( ! [X0] :
        ( sP14(X0)
        | app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 )
    | ~ spl69_225 ),
    inference(avatar_component_clause,[],[f2431]) ).

fof(f18696,plain,
    ( spl69_1110
    | ~ spl69_221
    | ~ spl69_232 ),
    inference(avatar_split_clause,[],[f2504,f2459,f2415,f18694]) ).

fof(f18694,plain,
    ( spl69_1110
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1110])]) ).

fof(f2415,plain,
    ( spl69_221
  <=> ! [X0] :
        ( sP6(X0)
        | app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_221])]) ).

fof(f2504,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))))) )
    | ~ spl69_221
    | ~ spl69_232 ),
    inference(resolution,[],[f2460,f2416]) ).

fof(f2416,plain,
    ( ! [X0] :
        ( sP6(X0)
        | app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 )
    | ~ spl69_221 ),
    inference(avatar_component_clause,[],[f2415]) ).

fof(f18651,plain,
    ( spl69_1109
    | ~ spl69_205
    | ~ spl69_235 ),
    inference(avatar_split_clause,[],[f2518,f2507,f2202,f18649]) ).

fof(f18649,plain,
    ( spl69_1109
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssItem(X3)
        | X2 = X3
        | app(X1,cons(X3,cons(X2,X0))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK27(app(X1,cons(X3,cons(X2,X0)))),cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK30(app(X1,cons(X3,cons(X2,X0))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1109])]) ).

fof(f2202,plain,
    ( spl69_205
  <=> ! [X0] :
        ( sP4(X0)
        | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_205])]) ).

fof(f2507,plain,
    ( spl69_235
  <=> ! [X5,X7,X6,X8] :
        ( X5 = X6
        | ~ ssList(X8)
        | ~ ssList(X7)
        | ~ ssItem(X6)
        | ~ ssItem(X5)
        | ~ sP4(app(X7,cons(X5,cons(X6,X8)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_235])]) ).

fof(f2518,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssItem(X3)
        | X2 = X3
        | app(X1,cons(X3,cons(X2,X0))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK27(app(X1,cons(X3,cons(X2,X0)))),cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK30(app(X1,cons(X3,cons(X2,X0))))))) )
    | ~ spl69_205
    | ~ spl69_235 ),
    inference(resolution,[],[f2508,f2203]) ).

fof(f2203,plain,
    ( ! [X0] :
        ( sP4(X0)
        | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 )
    | ~ spl69_205 ),
    inference(avatar_component_clause,[],[f2202]) ).

fof(f2508,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
        | ~ ssList(X8)
        | ~ ssList(X7)
        | ~ ssItem(X6)
        | ~ ssItem(X5)
        | X5 = X6 )
    | ~ spl69_235 ),
    inference(avatar_component_clause,[],[f2507]) ).

fof(f18620,plain,
    ( spl69_1108
    | ~ spl69_228
    | ~ spl69_231 ),
    inference(avatar_split_clause,[],[f2503,f2455,f2443,f18618]) ).

fof(f18618,plain,
    ( spl69_1108
  <=> ! [X0,X3,X2,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
        | ~ ssList(app(app(X3,X0),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1108])]) ).

fof(f2443,plain,
    ( spl69_228
  <=> ! [X0,X1] :
        ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_228])]) ).

fof(f2503,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
        | ~ ssList(app(app(X3,X0),X2)) )
    | ~ spl69_228
    | ~ spl69_231 ),
    inference(duplicate_literal_removal,[],[f2498]) ).

fof(f2498,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
        | ~ ssList(X1)
        | ~ ssList(app(app(X3,X0),X2)) )
    | ~ spl69_228
    | ~ spl69_231 ),
    inference(resolution,[],[f2456,f2444]) ).

fof(f2444,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_228 ),
    inference(avatar_component_clause,[],[f2443]) ).

fof(f18577,plain,
    ( spl69_1107
    | ~ spl69_228
    | ~ spl69_237 ),
    inference(avatar_split_clause,[],[f2528,f2515,f2443,f18575]) ).

fof(f18575,plain,
    ( spl69_1107
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1107])]) ).

fof(f2528,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2)) )
    | ~ spl69_228
    | ~ spl69_237 ),
    inference(duplicate_literal_removal,[],[f2523]) ).

fof(f2523,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2))
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0)) )
    | ~ spl69_228
    | ~ spl69_237 ),
    inference(resolution,[],[f2516,f2444]) ).

fof(f18573,plain,
    ( spl69_1106
    | ~ spl69_227
    | ~ spl69_236 ),
    inference(avatar_split_clause,[],[f2521,f2511,f2439,f18571]) ).

fof(f18571,plain,
    ( spl69_1106
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(app(X1,cons(X2,X0)))
        | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1106])]) ).

fof(f2439,plain,
    ( spl69_227
  <=> ! [X0,X1] :
        ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_227])]) ).

fof(f2521,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(app(X1,cons(X2,X0)))
        | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2))) )
    | ~ spl69_227
    | ~ spl69_236 ),
    inference(duplicate_literal_removal,[],[f2520]) ).

fof(f2520,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(app(X1,cons(X2,X0)))
        | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X1,cons(X2,X0))) )
    | ~ spl69_227
    | ~ spl69_236 ),
    inference(resolution,[],[f2512,f2440]) ).

fof(f2440,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_227 ),
    inference(avatar_component_clause,[],[f2439]) ).

fof(f18561,plain,
    ( spl69_1105
    | ~ spl69_195
    | ~ spl69_212 ),
    inference(avatar_split_clause,[],[f2303,f2261,f2107,f18559]) ).

fof(f18559,plain,
    ( spl69_1105
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
        | ~ ssList(cons(X2,X1))
        | ~ ssList(cons(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1105])]) ).

fof(f2107,plain,
    ( spl69_195
  <=> ! [X0,X1] :
        ( app(X1,sK66(X0,X1)) = X0
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_195])]) ).

fof(f2261,plain,
    ( spl69_212
  <=> ! [X2,X1,X3] :
        ( frontsegP(cons(X1,X2),cons(X1,X3))
        | ~ frontsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_212])]) ).

fof(f2303,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
        | ~ ssList(cons(X2,X1))
        | ~ ssList(cons(X2,X0)) )
    | ~ spl69_195
    | ~ spl69_212 ),
    inference(resolution,[],[f2262,f2108]) ).

fof(f2108,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | app(X1,sK66(X0,X1)) = X0
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_195 ),
    inference(avatar_component_clause,[],[f2107]) ).

fof(f2262,plain,
    ( ! [X2,X3,X1] :
        ( frontsegP(cons(X1,X2),cons(X1,X3))
        | ~ frontsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl69_212 ),
    inference(avatar_component_clause,[],[f2261]) ).

fof(f18510,plain,
    ( spl69_1104
    | ~ spl69_186
    | ~ spl69_231 ),
    inference(avatar_split_clause,[],[f2501,f2455,f2009,f18508]) ).

fof(f18508,plain,
    ( spl69_1104
  <=> ! [X0,X3,X2,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = X1
        | ~ segmentP(X1,app(app(X3,X0),X2))
        | ~ ssList(app(app(X3,X0),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1104])]) ).

fof(f2009,plain,
    ( spl69_186
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ segmentP(X1,X0)
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_186])]) ).

fof(f2501,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = X1
        | ~ segmentP(X1,app(app(X3,X0),X2))
        | ~ ssList(app(app(X3,X0),X2)) )
    | ~ spl69_186
    | ~ spl69_231 ),
    inference(duplicate_literal_removal,[],[f2500]) ).

fof(f2500,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(app(X3,X0),X2) = X1
        | ~ segmentP(X1,app(app(X3,X0),X2))
        | ~ ssList(app(app(X3,X0),X2))
        | ~ ssList(X1) )
    | ~ spl69_186
    | ~ spl69_231 ),
    inference(resolution,[],[f2456,f2010]) ).

fof(f2010,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X1,X0)
        | X0 = X1
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_186 ),
    inference(avatar_component_clause,[],[f2009]) ).

fof(f18506,plain,
    ( spl69_1103
    | ~ spl69_187
    | ~ spl69_212 ),
    inference(avatar_split_clause,[],[f2304,f2261,f2013,f18504]) ).

fof(f18504,plain,
    ( spl69_1103
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | cons(X2,X0) = cons(X2,X1)
        | ~ frontsegP(cons(X2,X1),cons(X2,X0))
        | ~ ssList(cons(X2,X0))
        | ~ ssList(cons(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1103])]) ).

fof(f2013,plain,
    ( spl69_187
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ frontsegP(X1,X0)
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_187])]) ).

fof(f2304,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | cons(X2,X0) = cons(X2,X1)
        | ~ frontsegP(cons(X2,X1),cons(X2,X0))
        | ~ ssList(cons(X2,X0))
        | ~ ssList(cons(X2,X1)) )
    | ~ spl69_187
    | ~ spl69_212 ),
    inference(resolution,[],[f2262,f2014]) ).

fof(f2014,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X1,X0)
        | X0 = X1
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_187 ),
    inference(avatar_component_clause,[],[f2013]) ).

fof(f18440,plain,
    ( spl69_1102
    | ~ spl69_190
    | ~ spl69_227 ),
    inference(avatar_split_clause,[],[f2479,f2439,f2087,f18438]) ).

fof(f18438,plain,
    ( spl69_1102
  <=> ! [X2,X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(cons(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1102])]) ).

fof(f2087,plain,
    ( spl69_190
  <=> ! [X2,X0,X1] :
        ( memberP(cons(X1,X2),X0)
        | ~ memberP(X2,X0)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_190])]) ).

fof(f2479,plain,
    ( ! [X2,X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(cons(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl69_190
    | ~ spl69_227 ),
    inference(duplicate_literal_removal,[],[f2474]) ).

fof(f2474,plain,
    ( ! [X2,X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(cons(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssItem(X2) )
    | ~ spl69_190
    | ~ spl69_227 ),
    inference(resolution,[],[f2440,f2088]) ).

fof(f2088,plain,
    ( ! [X2,X0,X1] :
        ( memberP(cons(X1,X2),X0)
        | ~ memberP(X2,X0)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_190 ),
    inference(avatar_component_clause,[],[f2087]) ).

fof(f18436,plain,
    ( spl69_1101
    | ~ spl69_192
    | ~ spl69_227 ),
    inference(avatar_split_clause,[],[f2478,f2439,f2095,f18434]) ).

fof(f18434,plain,
    ( spl69_1101
  <=> ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1101])]) ).

fof(f2478,plain,
    ( ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_192
    | ~ spl69_227 ),
    inference(duplicate_literal_removal,[],[f2475]) ).

fof(f2475,plain,
    ( ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X1,X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2) )
    | ~ spl69_192
    | ~ spl69_227 ),
    inference(resolution,[],[f2440,f2096]) ).

fof(f18432,plain,
    ( spl69_1100
    | ~ spl69_191
    | ~ spl69_227 ),
    inference(avatar_split_clause,[],[f2477,f2439,f2091,f18430]) ).

fof(f18430,plain,
    ( spl69_1100
  <=> ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X0,X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1100])]) ).

fof(f2477,plain,
    ( ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X0,X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_191
    | ~ spl69_227 ),
    inference(duplicate_literal_removal,[],[f2476]) ).

fof(f2476,plain,
    ( ! [X2,X0,X1] :
        ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
        | ~ ssItem(X2)
        | ~ ssList(app(X0,X1))
        | ~ memberP(X0,X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2) )
    | ~ spl69_191
    | ~ spl69_227 ),
    inference(resolution,[],[f2440,f2092]) ).

fof(f18344,plain,
    ( spl69_1099
    | ~ spl69_115
    | ~ spl69_232 ),
    inference(avatar_split_clause,[],[f2505,f2459,f1296,f18342]) ).

fof(f18342,plain,
    ( spl69_1099
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1099])]) ).

fof(f1296,plain,
    ( spl69_115
  <=> ! [X0] :
        ( sP6(X0)
        | sK31(X0) = sK32(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_115])]) ).

fof(f2505,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) )
    | ~ spl69_115
    | ~ spl69_232 ),
    inference(resolution,[],[f2460,f1297]) ).

fof(f1297,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sK31(X0) = sK32(X0) )
    | ~ spl69_115 ),
    inference(avatar_component_clause,[],[f1296]) ).

fof(f18297,plain,
    ( spl69_1098
    | ~ spl69_206
    | ~ spl69_231 ),
    inference(avatar_split_clause,[],[f2502,f2455,f2206,f18295]) ).

fof(f18295,plain,
    ( spl69_1098
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(X4,X1)
        | ~ segmentP(X4,app(app(X3,X0),X2))
        | ~ ssList(app(app(X3,X0),X2))
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1098])]) ).

fof(f2206,plain,
    ( spl69_206
  <=> ! [X2,X0,X1] :
        ( segmentP(X0,X2)
        | ~ segmentP(X1,X2)
        | ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_206])]) ).

fof(f2502,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(X4,X1)
        | ~ segmentP(X4,app(app(X3,X0),X2))
        | ~ ssList(app(app(X3,X0),X2))
        | ~ ssList(X4) )
    | ~ spl69_206
    | ~ spl69_231 ),
    inference(duplicate_literal_removal,[],[f2499]) ).

fof(f2499,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(X4,X1)
        | ~ segmentP(X4,app(app(X3,X0),X2))
        | ~ ssList(X1)
        | ~ ssList(app(app(X3,X0),X2))
        | ~ ssList(X4) )
    | ~ spl69_206
    | ~ spl69_231 ),
    inference(resolution,[],[f2456,f2207]) ).

fof(f2207,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(X1,X2)
        | segmentP(X0,X2)
        | ~ segmentP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_206 ),
    inference(avatar_component_clause,[],[f2206]) ).

fof(f18293,plain,
    ( spl69_1097
    | ~ spl69_208
    | ~ spl69_212 ),
    inference(avatar_split_clause,[],[f2302,f2261,f2214,f18291]) ).

fof(f18291,plain,
    ( spl69_1097
  <=> ! [X0,X3,X2,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | frontsegP(X3,cons(X2,X1))
        | ~ frontsegP(X3,cons(X2,X0))
        | ~ ssList(cons(X2,X1))
        | ~ ssList(cons(X2,X0))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1097])]) ).

fof(f2214,plain,
    ( spl69_208
  <=> ! [X2,X0,X1] :
        ( frontsegP(X0,X2)
        | ~ frontsegP(X1,X2)
        | ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_208])]) ).

fof(f2302,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | frontsegP(X3,cons(X2,X1))
        | ~ frontsegP(X3,cons(X2,X0))
        | ~ ssList(cons(X2,X1))
        | ~ ssList(cons(X2,X0))
        | ~ ssList(X3) )
    | ~ spl69_208
    | ~ spl69_212 ),
    inference(resolution,[],[f2262,f2215]) ).

fof(f2215,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X1,X2)
        | frontsegP(X0,X2)
        | ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_208 ),
    inference(avatar_component_clause,[],[f2214]) ).

fof(f18100,plain,
    ( spl69_1096
    | ~ spl69_186
    | ~ spl69_237 ),
    inference(avatar_split_clause,[],[f2526,f2515,f2009,f18098]) ).

fof(f18098,plain,
    ( spl69_1096
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = X2
        | ~ segmentP(X2,app(app(X1,X2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1096])]) ).

fof(f2526,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = X2
        | ~ segmentP(X2,app(app(X1,X2),X0)) )
    | ~ spl69_186
    | ~ spl69_237 ),
    inference(duplicate_literal_removal,[],[f2525]) ).

fof(f2525,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | app(app(X1,X2),X0) = X2
        | ~ segmentP(X2,app(app(X1,X2),X0))
        | ~ ssList(app(app(X1,X2),X0))
        | ~ ssList(X2) )
    | ~ spl69_186
    | ~ spl69_237 ),
    inference(resolution,[],[f2516,f2010]) ).

fof(f18096,plain,
    ( spl69_1095
    | ~ spl69_172
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2405,f2327,f1797,f18094]) ).

fof(f18094,plain,
    ( spl69_1095
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ frontsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1095])]) ).

fof(f1797,plain,
    ( spl69_172
  <=> ! [X0,X1] :
        ( ssList(sK66(X0,X1))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_172])]) ).

fof(f2405,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ frontsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_172
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1798]) ).

fof(f1798,plain,
    ( ! [X0,X1] :
        ( ssList(sK66(X0,X1))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_172 ),
    inference(avatar_component_clause,[],[f1797]) ).

fof(f18092,plain,
    ( spl69_1094
    | ~ spl69_171
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2404,f2327,f1793,f18090]) ).

fof(f18090,plain,
    ( spl69_1094
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1094])]) ).

fof(f1793,plain,
    ( spl69_171
  <=> ! [X0,X1] :
        ( ssList(sK65(X0,X1))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_171])]) ).

fof(f2404,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_171
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1794]) ).

fof(f1794,plain,
    ( ! [X0,X1] :
        ( ssList(sK65(X0,X1))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_171 ),
    inference(avatar_component_clause,[],[f1793]) ).

fof(f18088,plain,
    ( spl69_1093
    | ~ spl69_170
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2403,f2327,f1789,f18086]) ).

fof(f18086,plain,
    ( spl69_1093
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1093])]) ).

fof(f1789,plain,
    ( spl69_170
  <=> ! [X0,X1] :
        ( ssList(sK64(X0,X1))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_170])]) ).

fof(f2403,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_170
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1790]) ).

fof(f1790,plain,
    ( ! [X0,X1] :
        ( ssList(sK64(X0,X1))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_170 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f18084,plain,
    ( spl69_1092
    | ~ spl69_169
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2402,f2327,f1785,f18082]) ).

fof(f18082,plain,
    ( spl69_1092
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ rearsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1092])]) ).

fof(f1785,plain,
    ( spl69_169
  <=> ! [X0,X1] :
        ( ssList(sK63(X0,X1))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_169])]) ).

fof(f2402,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ rearsegP(X2,X3)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_169
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1786]) ).

fof(f1786,plain,
    ( ! [X0,X1] :
        ( ssList(sK63(X0,X1))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_169 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f18059,plain,
    ( spl69_1091
    | ~ spl69_168
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2401,f2327,f1781,f18057]) ).

fof(f18057,plain,
    ( spl69_1091
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK62(X2,X3)) = app(X0,app(X1,sK62(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ memberP(X2,X3)
        | ~ ssItem(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1091])]) ).

fof(f1781,plain,
    ( spl69_168
  <=> ! [X0,X1] :
        ( ssList(sK62(X0,X1))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_168])]) ).

fof(f2401,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK62(X2,X3)) = app(X0,app(X1,sK62(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ memberP(X2,X3)
        | ~ ssItem(X3)
        | ~ ssList(X2) )
    | ~ spl69_168
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1782]) ).

fof(f1782,plain,
    ( ! [X0,X1] :
        ( ssList(sK62(X0,X1))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_168 ),
    inference(avatar_component_clause,[],[f1781]) ).

fof(f18055,plain,
    ( spl69_1090
    | ~ spl69_167
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2400,f2327,f1777,f18053]) ).

fof(f18053,plain,
    ( spl69_1090
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),sK61(X2,X3)) = app(X0,app(X1,sK61(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ memberP(X2,X3)
        | ~ ssItem(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1090])]) ).

fof(f1777,plain,
    ( spl69_167
  <=> ! [X0,X1] :
        ( ssList(sK61(X0,X1))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_167])]) ).

fof(f2400,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),sK61(X2,X3)) = app(X0,app(X1,sK61(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ memberP(X2,X3)
        | ~ ssItem(X3)
        | ~ ssList(X2) )
    | ~ spl69_167
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1778]) ).

fof(f1778,plain,
    ( ! [X0,X1] :
        ( ssList(sK61(X0,X1))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_167 ),
    inference(avatar_component_clause,[],[f1777]) ).

fof(f18051,plain,
    ( spl69_1089
    | ~ spl69_172
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2371,f2314,f1797,f18049]) ).

fof(f18049,plain,
    ( spl69_1089
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1089])]) ).

fof(f2371,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_172
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1798]) ).

fof(f18047,plain,
    ( spl69_1088
    | ~ spl69_171
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2370,f2314,f1793,f18045]) ).

fof(f18045,plain,
    ( spl69_1088
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1088])]) ).

fof(f2370,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_171
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1794]) ).

fof(f18043,plain,
    ( spl69_1087
    | ~ spl69_170
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2369,f2314,f1789,f18041]) ).

fof(f18041,plain,
    ( spl69_1087
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1087])]) ).

fof(f2369,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_170
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1790]) ).

fof(f18039,plain,
    ( spl69_1086
    | ~ spl69_169
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2368,f2314,f1785,f18037]) ).

fof(f18037,plain,
    ( spl69_1086
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1086])]) ).

fof(f2368,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_169
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1786]) ).

fof(f18035,plain,
    ( spl69_1085
    | ~ spl69_168
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2367,f2314,f1781,f18033]) ).

fof(f18033,plain,
    ( spl69_1085
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK62(X1,X2),X3)) = app(cons(X0,sK62(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1085])]) ).

fof(f2367,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK62(X1,X2),X3)) = app(cons(X0,sK62(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_168
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1782]) ).

fof(f18031,plain,
    ( spl69_1084
    | ~ spl69_167
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2366,f2314,f1777,f18029]) ).

fof(f18029,plain,
    ( spl69_1084
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK61(X1,X2),X3)) = app(cons(X0,sK61(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1084])]) ).

fof(f2366,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK61(X1,X2),X3)) = app(cons(X0,sK61(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_167
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1778]) ).

fof(f18008,plain,
    ( ~ spl69_305
    | ~ spl69_1083
    | ~ spl69_288
    | ~ spl69_648 ),
    inference(avatar_split_clause,[],[f6805,f6794,f3338,f18005,f3555]) ).

fof(f18005,plain,
    ( spl69_1083
  <=> sP6(app(sK20,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1083])]) ).

fof(f6794,plain,
    ( spl69_648
  <=> ! [X0] :
        ( ~ sP6(app(sK20,cons(sK24(sK20),X0)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_648])]) ).

fof(f6805,plain,
    ( ~ sP6(app(sK20,sK20))
    | ~ ssList(sK25(sK20))
    | ~ spl69_288
    | ~ spl69_648 ),
    inference(superposition,[],[f6795,f3340]) ).

fof(f6795,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(sK24(sK20),X0)))
        | ~ ssList(X0) )
    | ~ spl69_648 ),
    inference(avatar_component_clause,[],[f6794]) ).

fof(f17898,plain,
    ( spl69_1082
    | ~ spl69_1
    | ~ spl69_641 ),
    inference(avatar_split_clause,[],[f6160,f6151,f647,f17895]) ).

fof(f17895,plain,
    ( spl69_1082
  <=> sK20 = app(nil,sK66(sK20,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1082])]) ).

fof(f6160,plain,
    ( sK20 = app(nil,sK66(sK20,nil))
    | ~ spl69_1
    | ~ spl69_641 ),
    inference(resolution,[],[f6152,f649]) ).

fof(f17817,plain,
    ( spl69_1081
    | ~ spl69_145
    | ~ spl69_227 ),
    inference(avatar_split_clause,[],[f2480,f2439,f1538,f17815]) ).

fof(f17815,plain,
    ( spl69_1081
  <=> ! [X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1081])]) ).

fof(f2480,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,X1))
        | ~ ssList(X1) )
    | ~ spl69_145
    | ~ spl69_227 ),
    inference(duplicate_literal_removal,[],[f2473]) ).

fof(f2473,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,X1))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl69_145
    | ~ spl69_227 ),
    inference(resolution,[],[f2440,f1539]) ).

fof(f17813,plain,
    ( spl69_1080
    | ~ spl69_172
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2297,f2248,f1797,f17811]) ).

fof(f17811,plain,
    ( spl69_1080
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
        | ~ ssList(X0)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1080])]) ).

fof(f2297,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
        | ~ ssList(X0)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_172
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1798]) ).

fof(f17809,plain,
    ( spl69_1079
    | ~ spl69_171
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2296,f2248,f1793,f17807]) ).

fof(f17807,plain,
    ( spl69_1079
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1079])]) ).

fof(f2296,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_171
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1794]) ).

fof(f17805,plain,
    ( spl69_1078
    | ~ spl69_1
    | ~ spl69_640 ),
    inference(avatar_split_clause,[],[f6116,f6107,f647,f17802]) ).

fof(f17802,plain,
    ( spl69_1078
  <=> sK20 = app(sK63(sK20,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1078])]) ).

fof(f6116,plain,
    ( sK20 = app(sK63(sK20,nil),nil)
    | ~ spl69_1
    | ~ spl69_640 ),
    inference(resolution,[],[f6108,f649]) ).

fof(f17800,plain,
    ( spl69_1077
    | ~ spl69_170
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2295,f2248,f1789,f17798]) ).

fof(f17798,plain,
    ( spl69_1077
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1077])]) ).

fof(f2295,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_170
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1790]) ).

fof(f17796,plain,
    ( spl69_1076
    | ~ spl69_169
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2294,f2248,f1785,f17794]) ).

fof(f17794,plain,
    ( spl69_1076
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
        | ~ ssList(X0)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1076])]) ).

fof(f2294,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
        | ~ ssList(X0)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_169
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1786]) ).

fof(f17792,plain,
    ( spl69_1075
    | ~ spl69_168
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2293,f2248,f1781,f17790]) ).

fof(f17790,plain,
    ( spl69_1075
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK62(X1,X2))) = app(tl(X0),sK62(X1,X2))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1075])]) ).

fof(f2293,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK62(X1,X2))) = app(tl(X0),sK62(X1,X2))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_168
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1782]) ).

fof(f17788,plain,
    ( spl69_1074
    | ~ spl69_167
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2292,f2248,f1777,f17786]) ).

fof(f17786,plain,
    ( spl69_1074
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK61(X1,X2))) = app(tl(X0),sK61(X1,X2))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1074])]) ).

fof(f2292,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,sK61(X1,X2))) = app(tl(X0),sK61(X1,X2))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_167
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1778]) ).

fof(f17784,plain,
    ( spl69_1073
    | ~ spl69_172
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1978,f1893,f1797,f17782]) ).

fof(f17782,plain,
    ( spl69_1073
  <=> ! [X0,X1] :
        ( nil = sK66(X0,X1)
        | sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1073])]) ).

fof(f1978,plain,
    ( ! [X0,X1] :
        ( nil = sK66(X0,X1)
        | sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_172
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1798]) ).

fof(f17780,plain,
    ( spl69_1072
    | ~ spl69_171
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1977,f1893,f1793,f17778]) ).

fof(f17778,plain,
    ( spl69_1072
  <=> ! [X0,X1] :
        ( nil = sK65(X0,X1)
        | sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1072])]) ).

fof(f1977,plain,
    ( ! [X0,X1] :
        ( nil = sK65(X0,X1)
        | sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_171
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1794]) ).

fof(f17776,plain,
    ( spl69_1071
    | ~ spl69_170
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1976,f1893,f1789,f17774]) ).

fof(f17774,plain,
    ( spl69_1071
  <=> ! [X0,X1] :
        ( nil = sK64(X0,X1)
        | sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1071])]) ).

fof(f1976,plain,
    ( ! [X0,X1] :
        ( nil = sK64(X0,X1)
        | sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_170
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1790]) ).

fof(f17772,plain,
    ( spl69_1070
    | ~ spl69_169
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1975,f1893,f1785,f17770]) ).

fof(f17770,plain,
    ( spl69_1070
  <=> ! [X0,X1] :
        ( nil = sK63(X0,X1)
        | sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1070])]) ).

fof(f1975,plain,
    ( ! [X0,X1] :
        ( nil = sK63(X0,X1)
        | sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_169
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1786]) ).

fof(f17768,plain,
    ( spl69_1069
    | ~ spl69_168
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1974,f1893,f1781,f17766]) ).

fof(f17766,plain,
    ( spl69_1069
  <=> ! [X0,X1] :
        ( nil = sK62(X0,X1)
        | sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1069])]) ).

fof(f1974,plain,
    ( ! [X0,X1] :
        ( nil = sK62(X0,X1)
        | sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_168
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1782]) ).

fof(f17764,plain,
    ( spl69_1068
    | ~ spl69_167
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1973,f1893,f1777,f17762]) ).

fof(f17762,plain,
    ( spl69_1068
  <=> ! [X0,X1] :
        ( nil = sK61(X0,X1)
        | sK61(X0,X1) = cons(hd(sK61(X0,X1)),tl(sK61(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1068])]) ).

fof(f1973,plain,
    ( ! [X0,X1] :
        ( nil = sK61(X0,X1)
        | sK61(X0,X1) = cons(hd(sK61(X0,X1)),tl(sK61(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_167
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1778]) ).

fof(f17760,plain,
    ( spl69_1067
    | ~ spl69_1
    | ~ spl69_569 ),
    inference(avatar_split_clause,[],[f5781,f5624,f647,f17757]) ).

fof(f17757,plain,
    ( spl69_1067
  <=> sK20 = app(sK20,sK66(sK20,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1067])]) ).

fof(f5781,plain,
    ( sK20 = app(sK20,sK66(sK20,sK20))
    | ~ spl69_1
    | ~ spl69_569 ),
    inference(resolution,[],[f5625,f649]) ).

fof(f17755,plain,
    ( spl69_1066
    | ~ spl69_172
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1944,f1889,f1797,f17753]) ).

fof(f17753,plain,
    ( spl69_1066
  <=> ! [X0,X1] :
        ( nil = sK66(X0,X1)
        | sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1066])]) ).

fof(f1944,plain,
    ( ! [X0,X1] :
        ( nil = sK66(X0,X1)
        | sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
        | ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_172
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1798]) ).

fof(f17751,plain,
    ( spl69_1065
    | ~ spl69_171
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1943,f1889,f1793,f17749]) ).

fof(f17749,plain,
    ( spl69_1065
  <=> ! [X0,X1] :
        ( nil = sK65(X0,X1)
        | sK65(X0,X1) = cons(sK23(sK65(X0,X1)),sK22(sK65(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1065])]) ).

fof(f1943,plain,
    ( ! [X0,X1] :
        ( nil = sK65(X0,X1)
        | sK65(X0,X1) = cons(sK23(sK65(X0,X1)),sK22(sK65(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_171
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1794]) ).

fof(f17747,plain,
    ( spl69_1064
    | ~ spl69_170
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1942,f1889,f1789,f17745]) ).

fof(f17745,plain,
    ( spl69_1064
  <=> ! [X0,X1] :
        ( nil = sK64(X0,X1)
        | sK64(X0,X1) = cons(sK23(sK64(X0,X1)),sK22(sK64(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1064])]) ).

fof(f1942,plain,
    ( ! [X0,X1] :
        ( nil = sK64(X0,X1)
        | sK64(X0,X1) = cons(sK23(sK64(X0,X1)),sK22(sK64(X0,X1)))
        | ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_170
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1790]) ).

fof(f17743,plain,
    ( spl69_1063
    | ~ spl69_169
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1941,f1889,f1785,f17741]) ).

fof(f17741,plain,
    ( spl69_1063
  <=> ! [X0,X1] :
        ( nil = sK63(X0,X1)
        | sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1063])]) ).

fof(f1941,plain,
    ( ! [X0,X1] :
        ( nil = sK63(X0,X1)
        | sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_169
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1786]) ).

fof(f17739,plain,
    ( spl69_1062
    | ~ spl69_168
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1940,f1889,f1781,f17737]) ).

fof(f17737,plain,
    ( spl69_1062
  <=> ! [X0,X1] :
        ( nil = sK62(X0,X1)
        | sK62(X0,X1) = cons(sK23(sK62(X0,X1)),sK22(sK62(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1062])]) ).

fof(f1940,plain,
    ( ! [X0,X1] :
        ( nil = sK62(X0,X1)
        | sK62(X0,X1) = cons(sK23(sK62(X0,X1)),sK22(sK62(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_168
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1782]) ).

fof(f17735,plain,
    ( spl69_1061
    | ~ spl69_167
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1939,f1889,f1777,f17733]) ).

fof(f17733,plain,
    ( spl69_1061
  <=> ! [X0,X1] :
        ( nil = sK61(X0,X1)
        | sK61(X0,X1) = cons(sK23(sK61(X0,X1)),sK22(sK61(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1061])]) ).

fof(f1939,plain,
    ( ! [X0,X1] :
        ( nil = sK61(X0,X1)
        | sK61(X0,X1) = cons(sK23(sK61(X0,X1)),sK22(sK61(X0,X1)))
        | ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl69_167
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1778]) ).

fof(f17666,plain,
    ( spl69_1060
    | ~ spl69_206
    | ~ spl69_237 ),
    inference(avatar_split_clause,[],[f2527,f2515,f2206,f17664]) ).

fof(f17664,plain,
    ( spl69_1060
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | segmentP(X3,X2)
        | ~ segmentP(X3,app(app(X1,X2),X0))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1060])]) ).

fof(f2527,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | segmentP(X3,X2)
        | ~ segmentP(X3,app(app(X1,X2),X0))
        | ~ ssList(X3) )
    | ~ spl69_206
    | ~ spl69_237 ),
    inference(duplicate_literal_removal,[],[f2524]) ).

fof(f2524,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | segmentP(X3,X2)
        | ~ segmentP(X3,app(app(X1,X2),X0))
        | ~ ssList(X2)
        | ~ ssList(app(app(X1,X2),X0))
        | ~ ssList(X3) )
    | ~ spl69_206
    | ~ spl69_237 ),
    inference(resolution,[],[f2516,f2207]) ).

fof(f17662,plain,
    ( spl69_1059
    | ~ spl69_1
    | ~ spl69_568 ),
    inference(avatar_split_clause,[],[f5741,f5620,f647,f17659]) ).

fof(f17659,plain,
    ( spl69_1059
  <=> sK20 = app(sK63(sK20,sK20),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1059])]) ).

fof(f5741,plain,
    ( sK20 = app(sK63(sK20,sK20),sK20)
    | ~ spl69_1
    | ~ spl69_568 ),
    inference(resolution,[],[f5621,f649]) ).

fof(f17657,plain,
    ( spl69_1058
    | ~ spl69_195
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f2180,f2115,f2107,f17655]) ).

fof(f17655,plain,
    ( spl69_1058
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
        | ~ ssList(app(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1058])]) ).

fof(f2180,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
        | ~ ssList(app(X0,X2)) )
    | ~ spl69_195
    | ~ spl69_197 ),
    inference(duplicate_literal_removal,[],[f2177]) ).

fof(f2177,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
        | ~ ssList(X1)
        | ~ ssList(app(X0,X2)) )
    | ~ spl69_195
    | ~ spl69_197 ),
    inference(resolution,[],[f2116,f2108]) ).

fof(f17653,plain,
    ( spl69_1057
    | ~ spl69_194
    | ~ spl69_196 ),
    inference(avatar_split_clause,[],[f2167,f2111,f2103,f17651]) ).

fof(f17651,plain,
    ( spl69_1057
  <=> ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
        | ~ ssList(app(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1057])]) ).

fof(f2103,plain,
    ( spl69_194
  <=> ! [X0,X1] :
        ( app(sK63(X0,X1),X1) = X0
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_194])]) ).

fof(f2167,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
        | ~ ssList(app(X2,X0)) )
    | ~ spl69_194
    | ~ spl69_196 ),
    inference(duplicate_literal_removal,[],[f2164]) ).

fof(f2164,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
        | ~ ssList(X1)
        | ~ ssList(app(X2,X0)) )
    | ~ spl69_194
    | ~ spl69_196 ),
    inference(resolution,[],[f2112,f2104]) ).

fof(f2104,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | app(sK63(X0,X1),X1) = X0
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_194 ),
    inference(avatar_component_clause,[],[f2103]) ).

fof(f17381,plain,
    ( spl69_1056
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_525 ),
    inference(avatar_split_clause,[],[f5429,f5214,f3058,f2793,f17378]) ).

fof(f17378,plain,
    ( spl69_1056
  <=> nil = tl(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1056])]) ).

fof(f5429,plain,
    ( nil = tl(cons(sK24(sK20),nil))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_525 ),
    inference(forward_demodulation,[],[f5408,f3060]) ).

fof(f17376,plain,
    ( spl69_1055
    | ~ spl69_136
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2373,f2327,f1434,f17374]) ).

fof(f17374,plain,
    ( spl69_1055
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1055])]) ).

fof(f2373,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_136
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1435]) ).

fof(f17372,plain,
    ( spl69_1054
    | ~ spl69_135
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2372,f2327,f1430,f17370]) ).

fof(f17370,plain,
    ( spl69_1054
  <=> ! [X0,X3,X2,X1] :
        ( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1054])]) ).

fof(f2372,plain,
    ( ! [X2,X3,X0,X1] :
        ( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | ~ ssList(X3) )
    | ~ spl69_135
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1431]) ).

fof(f17368,plain,
    ( spl69_1053
    | ~ spl69_136
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2339,f2314,f1434,f17366]) ).

fof(f17366,plain,
    ( spl69_1053
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1053])]) ).

fof(f2339,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1435]) ).

fof(f17364,plain,
    ( spl69_1052
    | ~ spl69_135
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2338,f2314,f1430,f17362]) ).

fof(f17362,plain,
    ( spl69_1052
  <=> ! [X0,X3,X2,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1052])]) ).

fof(f2338,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
        | ~ ssList(X3)
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1431]) ).

fof(f17360,plain,
    ( spl69_1051
    | ~ spl69_197
    | ~ spl69_208 ),
    inference(avatar_split_clause,[],[f2243,f2214,f2115,f17358]) ).

fof(f17358,plain,
    ( spl69_1051
  <=> ! [X0,X3,X2,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ frontsegP(X2,X1)
        | ~ ssList(X3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1051])]) ).

fof(f2243,plain,
    ( ! [X2,X3,X0,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ frontsegP(X2,X1)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl69_197
    | ~ spl69_208 ),
    inference(duplicate_literal_removal,[],[f2242]) ).

fof(f2242,plain,
    ( ! [X2,X3,X0,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ frontsegP(X2,X1)
        | ~ ssList(X3)
        | ~ ssList(X1)
        | ~ ssList(X2) )
    | ~ spl69_197
    | ~ spl69_208 ),
    inference(resolution,[],[f2215,f2116]) ).

fof(f17356,plain,
    ( spl69_1050
    | ~ spl69_196
    | ~ spl69_207 ),
    inference(avatar_split_clause,[],[f2235,f2210,f2111,f17354]) ).

fof(f17354,plain,
    ( spl69_1050
  <=> ! [X0,X3,X2,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ rearsegP(X3,X1)
        | ~ ssList(X2)
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1050])]) ).

fof(f2210,plain,
    ( spl69_207
  <=> ! [X2,X0,X1] :
        ( rearsegP(X0,X2)
        | ~ rearsegP(X1,X2)
        | ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_207])]) ).

fof(f2235,plain,
    ( ! [X2,X3,X0,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ rearsegP(X3,X1)
        | ~ ssList(X2)
        | ~ ssList(X3) )
    | ~ spl69_196
    | ~ spl69_207 ),
    inference(duplicate_literal_removal,[],[f2234]) ).

fof(f2234,plain,
    ( ! [X2,X3,X0,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X3))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X3))
        | ~ ssList(X0)
        | ~ rearsegP(X3,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X3) )
    | ~ spl69_196
    | ~ spl69_207 ),
    inference(resolution,[],[f2211,f2112]) ).

fof(f2211,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X1,X2)
        | rearsegP(X0,X2)
        | ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_207 ),
    inference(avatar_component_clause,[],[f2210]) ).

fof(f17352,plain,
    ( spl69_1049
    | ~ spl69_187
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f2179,f2115,f2013,f17350]) ).

fof(f17350,plain,
    ( spl69_1049
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = X1
        | ~ frontsegP(X1,app(X0,X2))
        | ~ ssList(app(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1049])]) ).

fof(f2179,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = X1
        | ~ frontsegP(X1,app(X0,X2))
        | ~ ssList(app(X0,X2)) )
    | ~ spl69_187
    | ~ spl69_197 ),
    inference(duplicate_literal_removal,[],[f2178]) ).

fof(f2178,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X0,X2) = X1
        | ~ frontsegP(X1,app(X0,X2))
        | ~ ssList(app(X0,X2))
        | ~ ssList(X1) )
    | ~ spl69_187
    | ~ spl69_197 ),
    inference(resolution,[],[f2116,f2014]) ).

fof(f17348,plain,
    ( spl69_1048
    | ~ spl69_185
    | ~ spl69_196 ),
    inference(avatar_split_clause,[],[f2166,f2111,f2005,f17346]) ).

fof(f17346,plain,
    ( spl69_1048
  <=> ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = X1
        | ~ rearsegP(X1,app(X2,X0))
        | ~ ssList(app(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1048])]) ).

fof(f2005,plain,
    ( spl69_185
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ rearsegP(X1,X0)
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_185])]) ).

fof(f2166,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = X1
        | ~ rearsegP(X1,app(X2,X0))
        | ~ ssList(app(X2,X0)) )
    | ~ spl69_185
    | ~ spl69_196 ),
    inference(duplicate_literal_removal,[],[f2165]) ).

fof(f2165,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | app(X2,X0) = X1
        | ~ rearsegP(X1,app(X2,X0))
        | ~ ssList(app(X2,X0))
        | ~ ssList(X1) )
    | ~ spl69_185
    | ~ spl69_196 ),
    inference(resolution,[],[f2112,f2006]) ).

fof(f2006,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X1,X0)
        | X0 = X1
        | ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_185 ),
    inference(avatar_component_clause,[],[f2005]) ).

fof(f17256,plain,
    ( spl69_1047
    | ~ spl69_16
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3288,f3265,f721,f17253]) ).

fof(f17253,plain,
    ( spl69_1047
  <=> sK68 = hd(cons(sK68,sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1047])]) ).

fof(f3288,plain,
    ( sK68 = hd(cons(sK68,sK25(sK20)))
    | ~ spl69_16
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f723]) ).

fof(f16956,plain,
    ( spl69_1046
    | ~ spl69_15
    | ~ spl69_285 ),
    inference(avatar_split_clause,[],[f3287,f3265,f716,f16953]) ).

fof(f16953,plain,
    ( spl69_1046
  <=> sK67 = hd(cons(sK67,sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1046])]) ).

fof(f3287,plain,
    ( sK67 = hd(cons(sK67,sK25(sK20)))
    | ~ spl69_15
    | ~ spl69_285 ),
    inference(resolution,[],[f3266,f718]) ).

fof(f16751,plain,
    ( spl69_1045
    | ~ spl69_131
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2379,f2327,f1412,f16749]) ).

fof(f16749,plain,
    ( spl69_1045
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK25(X2)) = app(X0,app(X1,sK25(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1045])]) ).

fof(f1412,plain,
    ( spl69_131
  <=> ! [X0] :
        ( ssList(sK25(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_131])]) ).

fof(f2379,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK25(X2)) = app(X0,app(X1,sK25(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) )
    | ~ spl69_131
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1413]) ).

fof(f1413,plain,
    ( ! [X0] :
        ( ssList(sK25(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_131 ),
    inference(avatar_component_clause,[],[f1412]) ).

fof(f16747,plain,
    ( spl69_1044
    | ~ spl69_126
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2378,f2327,f1392,f16745]) ).

fof(f16745,plain,
    ( spl69_1044
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK22(X2)) = app(X0,app(X1,sK22(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1044])]) ).

fof(f2378,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK22(X2)) = app(X0,app(X1,sK22(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) )
    | ~ spl69_126
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1393]) ).

fof(f16743,plain,
    ( spl69_1043
    | ~ spl69_129
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2375,f2327,f1404,f16741]) ).

fof(f16741,plain,
    ( spl69_1043
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1043])]) ).

fof(f1404,plain,
    ( spl69_129
  <=> ! [X0] :
        ( ssList(tl(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_129])]) ).

fof(f2375,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = X2
        | ~ ssList(X2) )
    | ~ spl69_129
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f1405]) ).

fof(f1405,plain,
    ( ! [X0] :
        ( ssList(tl(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_129 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f16739,plain,
    ( spl69_1042
    | ~ spl69_131
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2345,f2314,f1412,f16737]) ).

fof(f16737,plain,
    ( spl69_1042
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK25(X1),X2)) = app(cons(X0,sK25(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1042])]) ).

fof(f2345,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK25(X1),X2)) = app(cons(X0,sK25(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1413]) ).

fof(f16735,plain,
    ( spl69_1041
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3174,f3090,f3058,f2793,f16732]) ).

fof(f16732,plain,
    ( spl69_1041
  <=> sK20 = tl(cons(sK24(sK20),sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1041])]) ).

fof(f3174,plain,
    ( sK20 = tl(cons(sK24(sK20),sK20))
    | ~ spl69_254
    | ~ spl69_268
    | ~ spl69_270 ),
    inference(forward_demodulation,[],[f3154,f3060]) ).

fof(f3154,plain,
    ( sK20 = tl(cons(hd(sK20),sK20))
    | ~ spl69_254
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f2794]) ).

fof(f16730,plain,
    ( spl69_1040
    | ~ spl69_126
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2344,f2314,f1392,f16728]) ).

fof(f16728,plain,
    ( spl69_1040
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK22(X1),X2)) = app(cons(X0,sK22(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1040])]) ).

fof(f2344,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK22(X1),X2)) = app(cons(X0,sK22(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1393]) ).

fof(f16726,plain,
    ( spl69_1039
    | ~ spl69_129
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2341,f2314,f1404,f16724]) ).

fof(f16724,plain,
    ( spl69_1039
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1039])]) ).

fof(f2341,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
        | ~ ssList(X2)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f1405]) ).

fof(f16722,plain,
    ( spl69_1038
    | ~ spl69_136
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2265,f2248,f1434,f16720]) ).

fof(f16720,plain,
    ( spl69_1038
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1038])]) ).

fof(f2265,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1435]) ).

fof(f16718,plain,
    ( spl69_1037
    | ~ spl69_135
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2264,f2248,f1430,f16716]) ).

fof(f16716,plain,
    ( spl69_1037
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1037])]) ).

fof(f2264,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1431]) ).

fof(f16714,plain,
    ( spl69_1036
    | ~ spl69_172
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2069,f2001,f1797,f16712]) ).

fof(f16712,plain,
    ( spl69_1036
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1036])]) ).

fof(f2069,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_172
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1798]) ).

fof(f16710,plain,
    ( spl69_1035
    | ~ spl69_171
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2068,f2001,f1793,f16708]) ).

fof(f16708,plain,
    ( spl69_1035
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1035])]) ).

fof(f2068,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_171
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1794]) ).

fof(f16706,plain,
    ( spl69_1034
    | ~ spl69_170
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2067,f2001,f1789,f16704]) ).

fof(f16704,plain,
    ( spl69_1034
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1034])]) ).

fof(f2067,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_170
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1790]) ).

fof(f16702,plain,
    ( spl69_1033
    | ~ spl69_169
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2066,f2001,f1785,f16700]) ).

fof(f16700,plain,
    ( spl69_1033
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1033])]) ).

fof(f2066,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_169
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1786]) ).

fof(f16698,plain,
    ( spl69_1032
    | ~ spl69_168
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2065,f2001,f1781,f16696]) ).

fof(f16696,plain,
    ( spl69_1032
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK62(X1,X2)) = app(cons(X0,nil),sK62(X1,X2))
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1032])]) ).

fof(f2065,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK62(X1,X2)) = app(cons(X0,nil),sK62(X1,X2))
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_168
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1782]) ).

fof(f16694,plain,
    ( spl69_1031
    | ~ spl69_167
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2064,f2001,f1777,f16692]) ).

fof(f16692,plain,
    ( spl69_1031
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK61(X1,X2)) = app(cons(X0,nil),sK61(X1,X2))
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1031])]) ).

fof(f2064,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK61(X1,X2)) = app(cons(X0,nil),sK61(X1,X2))
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_167
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1778]) ).

fof(f16690,plain,
    ( spl69_1030
    | ~ spl69_267
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3083,f3070,f3014,f16687]) ).

fof(f16687,plain,
    ( spl69_1030
  <=> sK25(sK20) = app(sK25(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1030])]) ).

fof(f3014,plain,
    ( spl69_267
  <=> tl(sK20) = app(tl(sK20),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_267])]) ).

fof(f3083,plain,
    ( sK25(sK20) = app(sK25(sK20),nil)
    | ~ spl69_267
    | ~ spl69_269 ),
    inference(superposition,[],[f3016,f3072]) ).

fof(f3016,plain,
    ( tl(sK20) = app(tl(sK20),nil)
    | ~ spl69_267 ),
    inference(avatar_component_clause,[],[f3014]) ).

fof(f16685,plain,
    ( spl69_1029
    | ~ spl69_136
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1946,f1893,f1434,f16683]) ).

fof(f16683,plain,
    ( spl69_1029
  <=> ! [X0,X1] :
        ( nil = app(X0,X1)
        | app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1029])]) ).

fof(f1946,plain,
    ( ! [X0,X1] :
        ( nil = app(X0,X1)
        | app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_136
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1435]) ).

fof(f16681,plain,
    ( spl69_1028
    | ~ spl69_135
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1945,f1893,f1430,f16679]) ).

fof(f16679,plain,
    ( spl69_1028
  <=> ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1028])]) ).

fof(f1945,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_135
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1431]) ).

fof(f16677,plain,
    ( spl69_1027
    | ~ spl69_136
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1912,f1889,f1434,f16675]) ).

fof(f16675,plain,
    ( spl69_1027
  <=> ! [X0,X1] :
        ( nil = app(X0,X1)
        | app(X0,X1) = cons(sK23(app(X0,X1)),sK22(app(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1027])]) ).

fof(f1912,plain,
    ( ! [X0,X1] :
        ( nil = app(X0,X1)
        | app(X0,X1) = cons(sK23(app(X0,X1)),sK22(app(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_136
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1435]) ).

fof(f16673,plain,
    ( spl69_1026
    | ~ spl69_135
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1911,f1889,f1430,f16671]) ).

fof(f16671,plain,
    ( spl69_1026
  <=> ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1026])]) ).

fof(f1911,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_135
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1431]) ).

fof(f16503,plain,
    ( spl69_1025
    | ~ spl69_266
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3082,f3070,f3009,f16500]) ).

fof(f16500,plain,
    ( spl69_1025
  <=> sK25(sK20) = app(nil,sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1025])]) ).

fof(f3009,plain,
    ( spl69_266
  <=> tl(sK20) = app(nil,tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_266])]) ).

fof(f3082,plain,
    ( sK25(sK20) = app(nil,sK25(sK20))
    | ~ spl69_266
    | ~ spl69_269 ),
    inference(superposition,[],[f3011,f3072]) ).

fof(f3011,plain,
    ( tl(sK20) = app(nil,tl(sK20))
    | ~ spl69_266 ),
    inference(avatar_component_clause,[],[f3009]) ).

fof(f16324,plain,
    ( spl69_1024
    | ~ spl69_131
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2271,f2248,f1412,f16322]) ).

fof(f16322,plain,
    ( spl69_1024
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1024])]) ).

fof(f2271,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1413]) ).

fof(f16320,plain,
    ( spl69_1023
    | ~ spl69_126
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2270,f2248,f1392,f16318]) ).

fof(f16318,plain,
    ( spl69_1023
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK22(X1))) = app(tl(X0),sK22(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1023])]) ).

fof(f2270,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK22(X1))) = app(tl(X0),sK22(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1393]) ).

fof(f16316,plain,
    ( spl69_1022
    | ~ spl69_129
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2267,f2248,f1404,f16314]) ).

fof(f16314,plain,
    ( spl69_1022
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1022])]) ).

fof(f2267,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f1405]) ).

fof(f16312,plain,
    ( spl69_1021
    | ~ spl69_172
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2151,f2099,f1797,f16310]) ).

fof(f16310,plain,
    ( spl69_1021
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK66(X1,X2)))
        | ~ ssList(X0)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1021])]) ).

fof(f2151,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK66(X1,X2)))
        | ~ ssList(X0)
        | ~ frontsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_172
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1798]) ).

fof(f16308,plain,
    ( spl69_1020
    | ~ spl69_171
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2150,f2099,f1793,f16306]) ).

fof(f16306,plain,
    ( spl69_1020
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK65(X1,X2)))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1020])]) ).

fof(f2150,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK65(X1,X2)))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_171
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1794]) ).

fof(f16291,plain,
    ( spl69_1019
    | ~ spl69_170
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2149,f2099,f1789,f16289]) ).

fof(f16289,plain,
    ( spl69_1019
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK64(X1,X2)))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1019])]) ).

fof(f2149,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK64(X1,X2)))
        | ~ ssList(X0)
        | ~ segmentP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_170
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1790]) ).

fof(f16287,plain,
    ( spl69_1018
    | ~ spl69_169
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2148,f2099,f1785,f16285]) ).

fof(f16285,plain,
    ( spl69_1018
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK63(X1,X2)))
        | ~ ssList(X0)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1018])]) ).

fof(f2148,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK63(X1,X2)))
        | ~ ssList(X0)
        | ~ rearsegP(X1,X2)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_169
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1786]) ).

fof(f16283,plain,
    ( spl69_1017
    | ~ spl69_168
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2147,f2099,f1781,f16281]) ).

fof(f16281,plain,
    ( spl69_1017
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK62(X1,X2)))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1017])]) ).

fof(f2147,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK62(X1,X2)))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_168
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1782]) ).

fof(f16279,plain,
    ( spl69_1016
    | ~ spl69_167
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2146,f2099,f1777,f16277]) ).

fof(f16277,plain,
    ( spl69_1016
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK61(X1,X2)))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1016])]) ).

fof(f2146,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK61(X1,X2)))
        | ~ ssList(X0)
        | ~ memberP(X1,X2)
        | ~ ssItem(X2)
        | ~ ssList(X1) )
    | ~ spl69_167
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1778]) ).

fof(f16275,plain,
    ( spl69_1015
    | ~ spl69_161
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1877,f1797,f1606,f16273]) ).

fof(f16273,plain,
    ( spl69_1015
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK66(X0,X1)
        | tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1015])]) ).

fof(f1877,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK66(X0,X1)
        | tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1607]) ).

fof(f16271,plain,
    ( spl69_1014
    | ~ spl69_160
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1876,f1797,f1602,f16269]) ).

fof(f16269,plain,
    ( spl69_1014
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK66(X0,X1)
        | hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1014])]) ).

fof(f1876,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK66(X0,X1)
        | hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1603]) ).

fof(f16267,plain,
    ( spl69_1013
    | ~ spl69_161
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1864,f1793,f1606,f16265]) ).

fof(f16265,plain,
    ( spl69_1013
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK65(X0,X1)
        | tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1013])]) ).

fof(f1864,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK65(X0,X1)
        | tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1607]) ).

fof(f16263,plain,
    ( spl69_1012
    | ~ spl69_160
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1863,f1793,f1602,f16261]) ).

fof(f16261,plain,
    ( spl69_1012
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK65(X0,X1)
        | hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1012])]) ).

fof(f1863,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK65(X0,X1)
        | hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1603]) ).

fof(f16259,plain,
    ( spl69_1011
    | ~ spl69_161
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1851,f1789,f1606,f16257]) ).

fof(f16257,plain,
    ( spl69_1011
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK64(X0,X1)
        | tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1011])]) ).

fof(f1851,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK64(X0,X1)
        | tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1607]) ).

fof(f16255,plain,
    ( spl69_1010
    | ~ spl69_160
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1850,f1789,f1602,f16253]) ).

fof(f16253,plain,
    ( spl69_1010
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK64(X0,X1)
        | hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1010])]) ).

fof(f1850,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK64(X0,X1)
        | hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1603]) ).

fof(f16239,plain,
    ( spl69_1009
    | ~ spl69_161
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1838,f1785,f1606,f16237]) ).

fof(f16237,plain,
    ( spl69_1009
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK63(X0,X1)
        | tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1009])]) ).

fof(f1838,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK63(X0,X1)
        | tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1607]) ).

fof(f16235,plain,
    ( spl69_1008
    | ~ spl69_160
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1837,f1785,f1602,f16233]) ).

fof(f16233,plain,
    ( spl69_1008
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK63(X0,X1)
        | hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1008])]) ).

fof(f1837,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | nil = sK63(X0,X1)
        | hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1603]) ).

fof(f16231,plain,
    ( spl69_1007
    | ~ spl69_161
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1825,f1781,f1606,f16229]) ).

fof(f16229,plain,
    ( spl69_1007
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK62(X0,X1)
        | tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1007])]) ).

fof(f1825,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK62(X0,X1)
        | tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1607]) ).

fof(f16227,plain,
    ( spl69_1006
    | ~ spl69_160
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1824,f1781,f1602,f16225]) ).

fof(f16225,plain,
    ( spl69_1006
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK62(X0,X1)
        | hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1006])]) ).

fof(f1824,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK62(X0,X1)
        | hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1603]) ).

fof(f16223,plain,
    ( spl69_1005
    | ~ spl69_161
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1810,f1777,f1606,f16221]) ).

fof(f16221,plain,
    ( spl69_1005
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK61(X0,X1)
        | tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1005])]) ).

fof(f1810,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK61(X0,X1)
        | tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) )
    | ~ spl69_161
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1607]) ).

fof(f16219,plain,
    ( spl69_1004
    | ~ spl69_160
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1809,f1777,f1602,f16217]) ).

fof(f16217,plain,
    ( spl69_1004
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK61(X0,X1)
        | hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1004])]) ).

fof(f1809,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | nil = sK61(X0,X1)
        | hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) )
    | ~ spl69_160
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1603]) ).

fof(f16210,plain,
    ( spl69_1003
    | ~ spl69_159
    | ~ spl69_204 ),
    inference(avatar_split_clause,[],[f2225,f2198,f1598,f16208]) ).

fof(f16208,plain,
    ( spl69_1003
  <=> ! [X2,X0,X1] :
        ( lt(X0,hd(X1))
        | ~ lt(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1003])]) ).

fof(f2198,plain,
    ( spl69_204
  <=> ! [X2,X0,X1] :
        ( lt(X0,X2)
        | ~ lt(X1,X2)
        | ~ lt(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_204])]) ).

fof(f2225,plain,
    ( ! [X2,X0,X1] :
        ( lt(X0,hd(X1))
        | ~ lt(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP2(X1,X2) )
    | ~ spl69_159
    | ~ spl69_204 ),
    inference(resolution,[],[f2199,f1599]) ).

fof(f2199,plain,
    ( ! [X2,X0,X1] :
        ( ~ lt(X1,X2)
        | lt(X0,X2)
        | ~ lt(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_204 ),
    inference(avatar_component_clause,[],[f2198]) ).

fof(f16194,plain,
    ( spl69_1002
    | ~ spl69_159
    | ~ spl69_203 ),
    inference(avatar_split_clause,[],[f2224,f2194,f1598,f16192]) ).

fof(f16192,plain,
    ( spl69_1002
  <=> ! [X2,X0,X1] :
        ( lt(X0,hd(X1))
        | ~ leq(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1002])]) ).

fof(f2194,plain,
    ( spl69_203
  <=> ! [X2,X0,X1] :
        ( lt(X0,X2)
        | ~ lt(X1,X2)
        | ~ leq(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_203])]) ).

fof(f2224,plain,
    ( ! [X2,X0,X1] :
        ( lt(X0,hd(X1))
        | ~ leq(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP2(X1,X2) )
    | ~ spl69_159
    | ~ spl69_203 ),
    inference(resolution,[],[f2195,f1599]) ).

fof(f2195,plain,
    ( ! [X2,X0,X1] :
        ( ~ lt(X1,X2)
        | lt(X0,X2)
        | ~ leq(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_203 ),
    inference(avatar_component_clause,[],[f2194]) ).

fof(f16190,plain,
    ( spl69_1001
    | ~ spl69_156
    | ~ spl69_202 ),
    inference(avatar_split_clause,[],[f2220,f2190,f1586,f16188]) ).

fof(f16188,plain,
    ( spl69_1001
  <=> ! [X2,X0,X1] :
        ( leq(X0,hd(X1))
        | ~ leq(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1001])]) ).

fof(f2190,plain,
    ( spl69_202
  <=> ! [X2,X0,X1] :
        ( leq(X0,X2)
        | ~ leq(X1,X2)
        | ~ leq(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_202])]) ).

fof(f2220,plain,
    ( ! [X2,X0,X1] :
        ( leq(X0,hd(X1))
        | ~ leq(X0,X2)
        | ~ ssItem(hd(X1))
        | ~ ssItem(X2)
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP0(X1,X2) )
    | ~ spl69_156
    | ~ spl69_202 ),
    inference(resolution,[],[f2191,f1587]) ).

fof(f2191,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X1,X2)
        | leq(X0,X2)
        | ~ leq(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_202 ),
    inference(avatar_component_clause,[],[f2190]) ).

fof(f15858,plain,
    ( spl69_1000
    | ~ spl69_16
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3195,f3099,f721,f15855]) ).

fof(f15855,plain,
    ( spl69_1000
  <=> sK68 = hd(cons(sK68,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1000])]) ).

fof(f3195,plain,
    ( sK68 = hd(cons(sK68,sK20))
    | ~ spl69_16
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f723]) ).

fof(f15443,plain,
    ( spl69_999
    | ~ spl69_15
    | ~ spl69_272 ),
    inference(avatar_split_clause,[],[f3194,f3099,f716,f15440]) ).

fof(f15440,plain,
    ( spl69_999
  <=> sK67 = hd(cons(sK67,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_999])]) ).

fof(f3194,plain,
    ( sK67 = hd(cons(sK67,sK20))
    | ~ spl69_15
    | ~ spl69_272 ),
    inference(resolution,[],[f3100,f718]) ).

fof(f15028,plain,
    ( spl69_998
    | ~ spl69_16
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3173,f3090,f721,f15025]) ).

fof(f15025,plain,
    ( spl69_998
  <=> sK20 = tl(cons(sK68,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_998])]) ).

fof(f3173,plain,
    ( sK20 = tl(cons(sK68,sK20))
    | ~ spl69_16
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f723]) ).

fof(f14613,plain,
    ( spl69_997
    | ~ spl69_15
    | ~ spl69_270 ),
    inference(avatar_split_clause,[],[f3172,f3090,f716,f14610]) ).

fof(f14610,plain,
    ( spl69_997
  <=> sK20 = tl(cons(sK67,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_997])]) ).

fof(f3172,plain,
    ( sK20 = tl(cons(sK67,sK20))
    | ~ spl69_15
    | ~ spl69_270 ),
    inference(resolution,[],[f3091,f718]) ).

fof(f14289,plain,
    ( spl69_954
    | ~ spl69_953
    | ~ spl69_93
    | ~ spl69_262 ),
    inference(avatar_split_clause,[],[f2853,f2833,f1202,f13824,f13828]) ).

fof(f13828,plain,
    ( spl69_954
  <=> sP6(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_954])]) ).

fof(f13824,plain,
    ( spl69_953
  <=> duplicatefreeP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_953])]) ).

fof(f1202,plain,
    ( spl69_93
  <=> ! [X0] :
        ( sP6(X0)
        | ~ duplicatefreeP(X0)
        | ~ sP7(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_93])]) ).

fof(f2833,plain,
    ( spl69_262
  <=> sP7(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_262])]) ).

fof(f2853,plain,
    ( ~ duplicatefreeP(tl(sK20))
    | sP6(tl(sK20))
    | ~ spl69_93
    | ~ spl69_262 ),
    inference(resolution,[],[f2835,f1203]) ).

fof(f1203,plain,
    ( ! [X0] :
        ( ~ sP7(X0)
        | ~ duplicatefreeP(X0)
        | sP6(X0) )
    | ~ spl69_93 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f2835,plain,
    ( sP7(tl(sK20))
    | ~ spl69_262 ),
    inference(avatar_component_clause,[],[f2833]) ).

fof(f14024,plain,
    ( spl69_996
    | ~ spl69_74
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2399,f2327,f980,f14022]) ).

fof(f14022,plain,
    ( spl69_996
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_996])]) ).

fof(f980,plain,
    ( spl69_74
  <=> ! [X0] :
        ( sP16(X0)
        | ssList(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_74])]) ).

fof(f2399,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) )
    | ~ spl69_74
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f981]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ssList(sK60(X0))
        | sP16(X0) )
    | ~ spl69_74 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f14020,plain,
    ( spl69_995
    | ~ spl69_73
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2398,f2327,f976,f14018]) ).

fof(f14018,plain,
    ( spl69_995
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK59(X2)) = app(X0,app(X1,sK59(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_995])]) ).

fof(f976,plain,
    ( spl69_73
  <=> ! [X0] :
        ( sP16(X0)
        | ssList(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_73])]) ).

fof(f2398,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK59(X2)) = app(X0,app(X1,sK59(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) )
    | ~ spl69_73
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f977]) ).

fof(f977,plain,
    ( ! [X0] :
        ( ssList(sK59(X0))
        | sP16(X0) )
    | ~ spl69_73 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f14016,plain,
    ( spl69_994
    | ~ spl69_72
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2397,f2327,f972,f14014]) ).

fof(f14014,plain,
    ( spl69_994
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK58(X2)) = app(X0,app(X1,sK58(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_994])]) ).

fof(f972,plain,
    ( spl69_72
  <=> ! [X0] :
        ( sP16(X0)
        | ssList(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_72])]) ).

fof(f2397,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK58(X2)) = app(X0,app(X1,sK58(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP16(X2) )
    | ~ spl69_72
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f973]) ).

fof(f973,plain,
    ( ! [X0] :
        ( ssList(sK58(X0))
        | sP16(X0) )
    | ~ spl69_72 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f14012,plain,
    ( spl69_993
    | ~ spl69_69
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2396,f2327,f960,f14010]) ).

fof(f14010,plain,
    ( spl69_993
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_993])]) ).

fof(f960,plain,
    ( spl69_69
  <=> ! [X0] :
        ( sP14(X0)
        | ssList(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_69])]) ).

fof(f2396,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) )
    | ~ spl69_69
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f961]) ).

fof(f961,plain,
    ( ! [X0] :
        ( ssList(sK55(X0))
        | sP14(X0) )
    | ~ spl69_69 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f14008,plain,
    ( spl69_992
    | ~ spl69_68
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2395,f2327,f956,f14006]) ).

fof(f14006,plain,
    ( spl69_992
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK54(X2)) = app(X0,app(X1,sK54(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_992])]) ).

fof(f956,plain,
    ( spl69_68
  <=> ! [X0] :
        ( sP14(X0)
        | ssList(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_68])]) ).

fof(f2395,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK54(X2)) = app(X0,app(X1,sK54(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) )
    | ~ spl69_68
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f957]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ssList(sK54(X0))
        | sP14(X0) )
    | ~ spl69_68 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f14004,plain,
    ( spl69_991
    | ~ spl69_67
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2394,f2327,f952,f14002]) ).

fof(f14002,plain,
    ( spl69_991
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK53(X2)) = app(X0,app(X1,sK53(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_991])]) ).

fof(f952,plain,
    ( spl69_67
  <=> ! [X0] :
        ( sP14(X0)
        | ssList(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_67])]) ).

fof(f2394,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK53(X2)) = app(X0,app(X1,sK53(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP14(X2) )
    | ~ spl69_67
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f953]) ).

fof(f953,plain,
    ( ! [X0] :
        ( ssList(sK53(X0))
        | sP14(X0) )
    | ~ spl69_67 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f14000,plain,
    ( spl69_990
    | ~ spl69_63
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2393,f2327,f935,f13998]) ).

fof(f13998,plain,
    ( spl69_990
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_990])]) ).

fof(f935,plain,
    ( spl69_63
  <=> ! [X0] :
        ( sP12(X0)
        | ssList(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_63])]) ).

fof(f2393,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) )
    | ~ spl69_63
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f936]) ).

fof(f936,plain,
    ( ! [X0] :
        ( ssList(sK50(X0))
        | sP12(X0) )
    | ~ spl69_63 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f13996,plain,
    ( spl69_989
    | ~ spl69_62
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2392,f2327,f931,f13994]) ).

fof(f13994,plain,
    ( spl69_989
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK49(X2)) = app(X0,app(X1,sK49(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_989])]) ).

fof(f931,plain,
    ( spl69_62
  <=> ! [X0] :
        ( sP12(X0)
        | ssList(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_62])]) ).

fof(f2392,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK49(X2)) = app(X0,app(X1,sK49(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) )
    | ~ spl69_62
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f932]) ).

fof(f932,plain,
    ( ! [X0] :
        ( ssList(sK49(X0))
        | sP12(X0) )
    | ~ spl69_62 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f13992,plain,
    ( spl69_988
    | ~ spl69_61
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2391,f2327,f927,f13990]) ).

fof(f13990,plain,
    ( spl69_988
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK48(X2)) = app(X0,app(X1,sK48(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_988])]) ).

fof(f927,plain,
    ( spl69_61
  <=> ! [X0] :
        ( sP12(X0)
        | ssList(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).

fof(f2391,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK48(X2)) = app(X0,app(X1,sK48(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP12(X2) )
    | ~ spl69_61
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f928]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ssList(sK48(X0))
        | sP12(X0) )
    | ~ spl69_61 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f13988,plain,
    ( spl69_987
    | ~ spl69_58
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2390,f2327,f915,f13986]) ).

fof(f13986,plain,
    ( spl69_987
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_987])]) ).

fof(f915,plain,
    ( spl69_58
  <=> ! [X0] :
        ( sP10(X0)
        | ssList(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).

fof(f2390,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) )
    | ~ spl69_58
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f916]) ).

fof(f916,plain,
    ( ! [X0] :
        ( ssList(sK45(X0))
        | sP10(X0) )
    | ~ spl69_58 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f13963,plain,
    ( spl69_986
    | ~ spl69_57
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2389,f2327,f911,f13961]) ).

fof(f13961,plain,
    ( spl69_986
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK44(X2)) = app(X0,app(X1,sK44(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_986])]) ).

fof(f911,plain,
    ( spl69_57
  <=> ! [X0] :
        ( sP10(X0)
        | ssList(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_57])]) ).

fof(f2389,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK44(X2)) = app(X0,app(X1,sK44(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) )
    | ~ spl69_57
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f912]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ssList(sK44(X0))
        | sP10(X0) )
    | ~ spl69_57 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f13959,plain,
    ( spl69_985
    | ~ spl69_56
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2388,f2327,f907,f13957]) ).

fof(f13957,plain,
    ( spl69_985
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK43(X2)) = app(X0,app(X1,sK43(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_985])]) ).

fof(f907,plain,
    ( spl69_56
  <=> ! [X0] :
        ( sP10(X0)
        | ssList(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).

fof(f2388,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK43(X2)) = app(X0,app(X1,sK43(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP10(X2) )
    | ~ spl69_56
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f908]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ssList(sK43(X0))
        | sP10(X0) )
    | ~ spl69_56 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f13955,plain,
    ( spl69_984
    | ~ spl69_52
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2387,f2327,f890,f13953]) ).

fof(f13953,plain,
    ( spl69_984
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_984])]) ).

fof(f890,plain,
    ( spl69_52
  <=> ! [X0] :
        ( sP8(X0)
        | ssList(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).

fof(f2387,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) )
    | ~ spl69_52
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f891]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ssList(sK40(X0))
        | sP8(X0) )
    | ~ spl69_52 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f13951,plain,
    ( spl69_983
    | ~ spl69_51
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2386,f2327,f886,f13949]) ).

fof(f13949,plain,
    ( spl69_983
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK39(X2)) = app(X0,app(X1,sK39(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_983])]) ).

fof(f886,plain,
    ( spl69_51
  <=> ! [X0] :
        ( sP8(X0)
        | ssList(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).

fof(f2386,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK39(X2)) = app(X0,app(X1,sK39(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) )
    | ~ spl69_51
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f887]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ssList(sK39(X0))
        | sP8(X0) )
    | ~ spl69_51 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f13947,plain,
    ( spl69_982
    | ~ spl69_50
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2385,f2327,f882,f13945]) ).

fof(f13945,plain,
    ( spl69_982
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK38(X2)) = app(X0,app(X1,sK38(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_982])]) ).

fof(f882,plain,
    ( spl69_50
  <=> ! [X0] :
        ( sP8(X0)
        | ssList(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).

fof(f2385,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK38(X2)) = app(X0,app(X1,sK38(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP8(X2) )
    | ~ spl69_50
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f883]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ssList(sK38(X0))
        | sP8(X0) )
    | ~ spl69_50 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f13943,plain,
    ( spl69_981
    | ~ spl69_47
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2384,f2327,f870,f13941]) ).

fof(f13941,plain,
    ( spl69_981
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_981])]) ).

fof(f870,plain,
    ( spl69_47
  <=> ! [X0] :
        ( sP6(X0)
        | ssList(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).

fof(f2384,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) )
    | ~ spl69_47
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f871]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ssList(sK35(X0))
        | sP6(X0) )
    | ~ spl69_47 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f13939,plain,
    ( spl69_980
    | ~ spl69_46
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2383,f2327,f866,f13937]) ).

fof(f13937,plain,
    ( spl69_980
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK34(X2)) = app(X0,app(X1,sK34(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_980])]) ).

fof(f866,plain,
    ( spl69_46
  <=> ! [X0] :
        ( sP6(X0)
        | ssList(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).

fof(f2383,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK34(X2)) = app(X0,app(X1,sK34(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) )
    | ~ spl69_46
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f867]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ssList(sK34(X0))
        | sP6(X0) )
    | ~ spl69_46 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f13935,plain,
    ( spl69_979
    | ~ spl69_45
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2382,f2327,f862,f13933]) ).

fof(f13933,plain,
    ( spl69_979
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK33(X2)) = app(X0,app(X1,sK33(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_979])]) ).

fof(f862,plain,
    ( spl69_45
  <=> ! [X0] :
        ( sP6(X0)
        | ssList(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).

fof(f2382,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK33(X2)) = app(X0,app(X1,sK33(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP6(X2) )
    | ~ spl69_45
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f863]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ssList(sK33(X0))
        | sP6(X0) )
    | ~ spl69_45 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f13931,plain,
    ( spl69_978
    | ~ spl69_42
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2381,f2327,f850,f13929]) ).

fof(f13929,plain,
    ( spl69_978
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK30(X2)) = app(X0,app(X1,sK30(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP4(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_978])]) ).

fof(f850,plain,
    ( spl69_42
  <=> ! [X0] :
        ( sP4(X0)
        | ssList(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).

fof(f2381,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK30(X2)) = app(X0,app(X1,sK30(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP4(X2) )
    | ~ spl69_42
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f851]) ).

fof(f851,plain,
    ( ! [X0] :
        ( ssList(sK30(X0))
        | sP4(X0) )
    | ~ spl69_42 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f13927,plain,
    ( spl69_977
    | ~ spl69_41
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2380,f2327,f846,f13925]) ).

fof(f13925,plain,
    ( spl69_977
  <=> ! [X2,X0,X1] :
        ( app(app(X0,X1),sK29(X2)) = app(X0,app(X1,sK29(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP4(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_977])]) ).

fof(f846,plain,
    ( spl69_41
  <=> ! [X0] :
        ( sP4(X0)
        | ssList(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).

fof(f2380,plain,
    ( ! [X2,X0,X1] :
        ( app(app(X0,X1),sK29(X2)) = app(X0,app(X1,sK29(X2)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP4(X2) )
    | ~ spl69_41
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f847]) ).

fof(f847,plain,
    ( ! [X0] :
        ( ssList(sK29(X0))
        | sP4(X0) )
    | ~ spl69_41 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f13923,plain,
    ( ~ spl69_976
    | ~ spl69_269
    | spl69_953 ),
    inference(avatar_split_clause,[],[f13833,f13824,f3070,f13920]) ).

fof(f13920,plain,
    ( spl69_976
  <=> duplicatefreeP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_976])]) ).

fof(f13833,plain,
    ( ~ duplicatefreeP(sK25(sK20))
    | ~ spl69_269
    | spl69_953 ),
    inference(forward_demodulation,[],[f13825,f3072]) ).

fof(f13825,plain,
    ( ~ duplicatefreeP(tl(sK20))
    | spl69_953 ),
    inference(avatar_component_clause,[],[f13824]) ).

fof(f13918,plain,
    ( spl69_975
    | ~ spl69_74
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2365,f2314,f980,f13916]) ).

fof(f13916,plain,
    ( spl69_975
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_975])]) ).

fof(f2365,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f981]) ).

fof(f13914,plain,
    ( spl69_974
    | ~ spl69_73
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2364,f2314,f976,f13912]) ).

fof(f13912,plain,
    ( spl69_974
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK59(X1),X2)) = app(cons(X0,sK59(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_974])]) ).

fof(f2364,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK59(X1),X2)) = app(cons(X0,sK59(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f977]) ).

fof(f13910,plain,
    ( spl69_973
    | ~ spl69_72
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2363,f2314,f972,f13908]) ).

fof(f13908,plain,
    ( spl69_973
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK58(X1),X2)) = app(cons(X0,sK58(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_973])]) ).

fof(f2363,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK58(X1),X2)) = app(cons(X0,sK58(X1)),X2)
        | ~ ssList(X2)
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f973]) ).

fof(f13906,plain,
    ( spl69_972
    | ~ spl69_69
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2362,f2314,f960,f13904]) ).

fof(f13904,plain,
    ( spl69_972
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_972])]) ).

fof(f2362,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f961]) ).

fof(f13902,plain,
    ( spl69_971
    | ~ spl69_68
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2361,f2314,f956,f13900]) ).

fof(f13900,plain,
    ( spl69_971
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK54(X1),X2)) = app(cons(X0,sK54(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_971])]) ).

fof(f2361,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK54(X1),X2)) = app(cons(X0,sK54(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f957]) ).

fof(f13898,plain,
    ( spl69_970
    | ~ spl69_67
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2360,f2314,f952,f13896]) ).

fof(f13896,plain,
    ( spl69_970
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK53(X1),X2)) = app(cons(X0,sK53(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_970])]) ).

fof(f2360,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK53(X1),X2)) = app(cons(X0,sK53(X1)),X2)
        | ~ ssList(X2)
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f953]) ).

fof(f13894,plain,
    ( spl69_969
    | ~ spl69_63
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2359,f2314,f935,f13892]) ).

fof(f13892,plain,
    ( spl69_969
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_969])]) ).

fof(f2359,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f936]) ).

fof(f13890,plain,
    ( spl69_968
    | ~ spl69_62
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2358,f2314,f931,f13888]) ).

fof(f13888,plain,
    ( spl69_968
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK49(X1),X2)) = app(cons(X0,sK49(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_968])]) ).

fof(f2358,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK49(X1),X2)) = app(cons(X0,sK49(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f932]) ).

fof(f13886,plain,
    ( spl69_967
    | ~ spl69_61
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2357,f2314,f927,f13884]) ).

fof(f13884,plain,
    ( spl69_967
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK48(X1),X2)) = app(cons(X0,sK48(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_967])]) ).

fof(f2357,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK48(X1),X2)) = app(cons(X0,sK48(X1)),X2)
        | ~ ssList(X2)
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f928]) ).

fof(f13882,plain,
    ( spl69_966
    | ~ spl69_58
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2356,f2314,f915,f13880]) ).

fof(f13880,plain,
    ( spl69_966
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_966])]) ).

fof(f2356,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f916]) ).

fof(f13878,plain,
    ( ~ spl69_965
    | ~ spl69_269
    | spl69_954 ),
    inference(avatar_split_clause,[],[f13832,f13828,f3070,f13875]) ).

fof(f13875,plain,
    ( spl69_965
  <=> sP6(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_965])]) ).

fof(f13832,plain,
    ( ~ sP6(sK25(sK20))
    | ~ spl69_269
    | spl69_954 ),
    inference(forward_demodulation,[],[f13830,f3072]) ).

fof(f13830,plain,
    ( ~ sP6(tl(sK20))
    | spl69_954 ),
    inference(avatar_component_clause,[],[f13828]) ).

fof(f13873,plain,
    ( spl69_964
    | ~ spl69_57
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2355,f2314,f911,f13871]) ).

fof(f13871,plain,
    ( spl69_964
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK44(X1),X2)) = app(cons(X0,sK44(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_964])]) ).

fof(f2355,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK44(X1),X2)) = app(cons(X0,sK44(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f912]) ).

fof(f13869,plain,
    ( spl69_963
    | ~ spl69_56
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2354,f2314,f907,f13867]) ).

fof(f13867,plain,
    ( spl69_963
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK43(X1),X2)) = app(cons(X0,sK43(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_963])]) ).

fof(f2354,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK43(X1),X2)) = app(cons(X0,sK43(X1)),X2)
        | ~ ssList(X2)
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f908]) ).

fof(f13865,plain,
    ( spl69_962
    | ~ spl69_52
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2353,f2314,f890,f13863]) ).

fof(f13863,plain,
    ( spl69_962
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_962])]) ).

fof(f2353,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f891]) ).

fof(f13861,plain,
    ( spl69_961
    | ~ spl69_51
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2352,f2314,f886,f13859]) ).

fof(f13859,plain,
    ( spl69_961
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK39(X1),X2)) = app(cons(X0,sK39(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_961])]) ).

fof(f2352,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK39(X1),X2)) = app(cons(X0,sK39(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f887]) ).

fof(f13857,plain,
    ( spl69_960
    | ~ spl69_50
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2351,f2314,f882,f13855]) ).

fof(f13855,plain,
    ( spl69_960
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK38(X1),X2)) = app(cons(X0,sK38(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_960])]) ).

fof(f2351,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK38(X1),X2)) = app(cons(X0,sK38(X1)),X2)
        | ~ ssList(X2)
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f883]) ).

fof(f13853,plain,
    ( spl69_959
    | ~ spl69_47
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2350,f2314,f870,f13851]) ).

fof(f13851,plain,
    ( spl69_959
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_959])]) ).

fof(f2350,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f871]) ).

fof(f13849,plain,
    ( spl69_958
    | ~ spl69_46
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2349,f2314,f866,f13847]) ).

fof(f13847,plain,
    ( spl69_958
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK34(X1),X2)) = app(cons(X0,sK34(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_958])]) ).

fof(f2349,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK34(X1),X2)) = app(cons(X0,sK34(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f867]) ).

fof(f13845,plain,
    ( spl69_957
    | ~ spl69_45
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2348,f2314,f862,f13843]) ).

fof(f13843,plain,
    ( spl69_957
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK33(X1),X2)) = app(cons(X0,sK33(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_957])]) ).

fof(f2348,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK33(X1),X2)) = app(cons(X0,sK33(X1)),X2)
        | ~ ssList(X2)
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f863]) ).

fof(f13841,plain,
    ( spl69_956
    | ~ spl69_42
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2347,f2314,f850,f13839]) ).

fof(f13839,plain,
    ( spl69_956
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK30(X1),X2)) = app(cons(X0,sK30(X1)),X2)
        | ~ ssList(X2)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_956])]) ).

fof(f2347,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK30(X1),X2)) = app(cons(X0,sK30(X1)),X2)
        | ~ ssList(X2)
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f851]) ).

fof(f13837,plain,
    ( spl69_955
    | ~ spl69_41
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2346,f2314,f846,f13835]) ).

fof(f13835,plain,
    ( spl69_955
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK29(X1),X2)) = app(cons(X0,sK29(X1)),X2)
        | ~ ssList(X2)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_955])]) ).

fof(f2346,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK29(X1),X2)) = app(cons(X0,sK29(X1)),X2)
        | ~ ssList(X2)
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f847]) ).

fof(f13831,plain,
    ( spl69_953
    | ~ spl69_954
    | ~ spl69_95
    | ~ spl69_262 ),
    inference(avatar_split_clause,[],[f2852,f2833,f1211,f13828,f13824]) ).

fof(f1211,plain,
    ( spl69_95
  <=> ! [X0] :
        ( duplicatefreeP(X0)
        | ~ sP6(X0)
        | ~ sP7(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_95])]) ).

fof(f2852,plain,
    ( ~ sP6(tl(sK20))
    | duplicatefreeP(tl(sK20))
    | ~ spl69_95
    | ~ spl69_262 ),
    inference(resolution,[],[f2835,f1212]) ).

fof(f1212,plain,
    ( ! [X0] :
        ( ~ sP7(X0)
        | ~ sP6(X0)
        | duplicatefreeP(X0) )
    | ~ spl69_95 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f13822,plain,
    ( spl69_952
    | ~ spl69_189
    | ~ spl69_195 ),
    inference(avatar_split_clause,[],[f2161,f2107,f2021,f13820]) ).

fof(f13820,plain,
    ( spl69_952
  <=> ! [X0,X1] :
        ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
        | ~ ssList(X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_952])]) ).

fof(f2161,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
        | ~ ssList(X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X1) )
    | ~ spl69_189
    | ~ spl69_195 ),
    inference(duplicate_literal_removal,[],[f2160]) ).

fof(f2160,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
        | ~ ssList(X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(app(X0,X1)) )
    | ~ spl69_189
    | ~ spl69_195 ),
    inference(resolution,[],[f2108,f2022]) ).

fof(f13818,plain,
    ( spl69_951
    | ~ spl69_188
    | ~ spl69_194 ),
    inference(avatar_split_clause,[],[f2155,f2103,f2017,f13816]) ).

fof(f13816,plain,
    ( spl69_951
  <=> ! [X0,X1] :
        ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_951])]) ).

fof(f2155,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0) )
    | ~ spl69_188
    | ~ spl69_194 ),
    inference(duplicate_literal_removal,[],[f2154]) ).

fof(f2154,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1)) )
    | ~ spl69_188
    | ~ spl69_194 ),
    inference(resolution,[],[f2104,f2018]) ).

fof(f13814,plain,
    ( spl69_950
    | ~ spl69_136
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2037,f2001,f1434,f13812]) ).

fof(f13812,plain,
    ( spl69_950
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_950])]) ).

fof(f2037,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1435]) ).

fof(f13810,plain,
    ( spl69_949
    | ~ spl69_135
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2036,f2001,f1430,f13808]) ).

fof(f13808,plain,
    ( spl69_949
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_949])]) ).

fof(f2036,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1431]) ).

fof(f13806,plain,
    ( spl69_948
    | ~ spl69_156
    | ~ spl69_181 ),
    inference(avatar_split_clause,[],[f2032,f1988,f1586,f13804]) ).

fof(f13804,plain,
    ( spl69_948
  <=> ! [X0,X1] :
        ( hd(X0) = X1
        | ~ leq(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0))
        | nil = X0
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_948])]) ).

fof(f1988,plain,
    ( spl69_181
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_181])]) ).

fof(f2032,plain,
    ( ! [X0,X1] :
        ( hd(X0) = X1
        | ~ leq(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0))
        | nil = X0
        | ~ sP0(X0,X1) )
    | ~ spl69_156
    | ~ spl69_181 ),
    inference(resolution,[],[f1989,f1587]) ).

fof(f1989,plain,
    ( ! [X0,X1] :
        ( ~ leq(X1,X0)
        | X0 = X1
        | ~ leq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_181 ),
    inference(avatar_component_clause,[],[f1988]) ).

fof(f13802,plain,
    ( spl69_947
    | ~ spl69_156
    | ~ spl69_179 ),
    inference(avatar_split_clause,[],[f2025,f1980,f1586,f13800]) ).

fof(f13800,plain,
    ( spl69_947
  <=> ! [X0,X1] :
        ( hd(X1) = X0
        | lt(X0,hd(X1))
        | ~ ssItem(hd(X1))
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP0(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_947])]) ).

fof(f1980,plain,
    ( spl69_179
  <=> ! [X0,X1] :
        ( lt(X0,X1)
        | X0 = X1
        | ~ leq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_179])]) ).

fof(f2025,plain,
    ( ! [X0,X1] :
        ( hd(X1) = X0
        | lt(X0,hd(X1))
        | ~ ssItem(hd(X1))
        | ~ ssItem(X0)
        | nil = X1
        | ~ sP0(X1,X0) )
    | ~ spl69_156
    | ~ spl69_179 ),
    inference(resolution,[],[f1981,f1587]) ).

fof(f1981,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | X0 = X1
        | lt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_179 ),
    inference(avatar_component_clause,[],[f1980]) ).

fof(f13798,plain,
    ( spl69_946
    | ~ spl69_131
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1952,f1893,f1412,f13796]) ).

fof(f13796,plain,
    ( spl69_946
  <=> ! [X0] :
        ( nil = sK25(X0)
        | sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_946])]) ).

fof(f1952,plain,
    ( ! [X0] :
        ( nil = sK25(X0)
        | sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_131
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1413]) ).

fof(f13794,plain,
    ( spl69_945
    | ~ spl69_126
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1951,f1893,f1392,f13792]) ).

fof(f13792,plain,
    ( spl69_945
  <=> ! [X0] :
        ( nil = sK22(X0)
        | sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_945])]) ).

fof(f1951,plain,
    ( ! [X0] :
        ( nil = sK22(X0)
        | sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_126
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1393]) ).

fof(f13790,plain,
    ( spl69_944
    | ~ spl69_129
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1948,f1893,f1404,f13788]) ).

fof(f13788,plain,
    ( spl69_944
  <=> ! [X0] :
        ( nil = tl(X0)
        | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_944])]) ).

fof(f1948,plain,
    ( ! [X0] :
        ( nil = tl(X0)
        | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_129
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f1405]) ).

fof(f13786,plain,
    ( spl69_943
    | ~ spl69_131
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1918,f1889,f1412,f13784]) ).

fof(f13784,plain,
    ( spl69_943
  <=> ! [X0] :
        ( nil = sK25(X0)
        | sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_943])]) ).

fof(f1918,plain,
    ( ! [X0] :
        ( nil = sK25(X0)
        | sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_131
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1413]) ).

fof(f13782,plain,
    ( spl69_931
    | ~ spl69_930
    | ~ spl69_96
    | ~ spl69_261 ),
    inference(avatar_split_clause,[],[f2851,f2828,f1215,f12081,f12085]) ).

fof(f12085,plain,
    ( spl69_931
  <=> sP8(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_931])]) ).

fof(f12081,plain,
    ( spl69_930
  <=> totalorderP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_930])]) ).

fof(f1215,plain,
    ( spl69_96
  <=> ! [X0] :
        ( sP8(X0)
        | ~ totalorderP(X0)
        | ~ sP9(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_96])]) ).

fof(f2828,plain,
    ( spl69_261
  <=> sP9(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_261])]) ).

fof(f2851,plain,
    ( ~ totalorderP(tl(sK20))
    | sP8(tl(sK20))
    | ~ spl69_96
    | ~ spl69_261 ),
    inference(resolution,[],[f2830,f1216]) ).

fof(f1216,plain,
    ( ! [X0] :
        ( ~ sP9(X0)
        | ~ totalorderP(X0)
        | sP8(X0) )
    | ~ spl69_96 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f2830,plain,
    ( sP9(tl(sK20))
    | ~ spl69_261 ),
    inference(avatar_component_clause,[],[f2828]) ).

fof(f13781,plain,
    ( spl69_942
    | ~ spl69_126
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1917,f1889,f1392,f13779]) ).

fof(f13779,plain,
    ( spl69_942
  <=> ! [X0] :
        ( nil = sK22(X0)
        | sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_942])]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( nil = sK22(X0)
        | sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_126
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1393]) ).

fof(f13777,plain,
    ( spl69_941
    | ~ spl69_129
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1914,f1889,f1404,f13775]) ).

fof(f13775,plain,
    ( spl69_941
  <=> ! [X0] :
        ( nil = tl(X0)
        | tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_941])]) ).

fof(f1914,plain,
    ( ! [X0] :
        ( nil = tl(X0)
        | tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_129
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f1405]) ).

fof(f13773,plain,
    ( spl69_940
    | ~ spl69_163
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1878,f1797,f1614,f13771]) ).

fof(f13771,plain,
    ( spl69_940
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_940])]) ).

fof(f1878,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1615]) ).

fof(f13769,plain,
    ( spl69_939
    | ~ spl69_163
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1865,f1793,f1614,f13767]) ).

fof(f13767,plain,
    ( spl69_939
  <=> ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_939])]) ).

fof(f1865,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1615]) ).

fof(f13765,plain,
    ( spl69_938
    | ~ spl69_163
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1852,f1789,f1614,f13763]) ).

fof(f13763,plain,
    ( spl69_938
  <=> ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_938])]) ).

fof(f1852,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1615]) ).

fof(f13761,plain,
    ( spl69_937
    | ~ spl69_163
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1839,f1785,f1614,f13759]) ).

fof(f13759,plain,
    ( spl69_937
  <=> ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_937])]) ).

fof(f1839,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1615]) ).

fof(f13757,plain,
    ( spl69_936
    | ~ spl69_163
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1826,f1781,f1614,f13755]) ).

fof(f13755,plain,
    ( spl69_936
  <=> ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_936])]) ).

fof(f1826,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1615]) ).

fof(f13753,plain,
    ( spl69_935
    | ~ spl69_163
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1811,f1777,f1614,f13751]) ).

fof(f13751,plain,
    ( spl69_935
  <=> ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_935])]) ).

fof(f1811,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) )
    | ~ spl69_163
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1615]) ).

fof(f12688,plain,
    ( ~ spl69_934
    | ~ spl69_269
    | spl69_930 ),
    inference(avatar_split_clause,[],[f12090,f12081,f3070,f12685]) ).

fof(f12685,plain,
    ( spl69_934
  <=> totalorderP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_934])]) ).

fof(f12090,plain,
    ( ~ totalorderP(sK25(sK20))
    | ~ spl69_269
    | spl69_930 ),
    inference(forward_demodulation,[],[f12082,f3072]) ).

fof(f12082,plain,
    ( ~ totalorderP(tl(sK20))
    | spl69_930 ),
    inference(avatar_component_clause,[],[f12081]) ).

fof(f12389,plain,
    ( ~ spl69_933
    | ~ spl69_269
    | spl69_931 ),
    inference(avatar_split_clause,[],[f12089,f12085,f3070,f12386]) ).

fof(f12386,plain,
    ( spl69_933
  <=> sP8(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_933])]) ).

fof(f12089,plain,
    ( ~ sP8(sK25(sK20))
    | ~ spl69_269
    | spl69_931 ),
    inference(forward_demodulation,[],[f12087,f3072]) ).

fof(f12087,plain,
    ( ~ sP8(tl(sK20))
    | spl69_931 ),
    inference(avatar_component_clause,[],[f12085]) ).

fof(f12094,plain,
    ( spl69_932
    | ~ spl69_74
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2291,f2248,f980,f12092]) ).

fof(f12092,plain,
    ( spl69_932
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_932])]) ).

fof(f2291,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f981]) ).

fof(f12088,plain,
    ( spl69_930
    | ~ spl69_931
    | ~ spl69_97
    | ~ spl69_261 ),
    inference(avatar_split_clause,[],[f2850,f2828,f1219,f12085,f12081]) ).

fof(f1219,plain,
    ( spl69_97
  <=> ! [X0] :
        ( totalorderP(X0)
        | ~ sP8(X0)
        | ~ sP9(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_97])]) ).

fof(f2850,plain,
    ( ~ sP8(tl(sK20))
    | totalorderP(tl(sK20))
    | ~ spl69_97
    | ~ spl69_261 ),
    inference(resolution,[],[f2830,f1220]) ).

fof(f1220,plain,
    ( ! [X0] :
        ( ~ sP9(X0)
        | ~ sP8(X0)
        | totalorderP(X0) )
    | ~ spl69_97 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f12079,plain,
    ( spl69_929
    | ~ spl69_73
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2290,f2248,f976,f12077]) ).

fof(f12077,plain,
    ( spl69_929
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK59(X1))) = app(tl(X0),sK59(X1))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_929])]) ).

fof(f2290,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK59(X1))) = app(tl(X0),sK59(X1))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f977]) ).

fof(f12075,plain,
    ( spl69_928
    | ~ spl69_72
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2289,f2248,f972,f12073]) ).

fof(f12073,plain,
    ( spl69_928
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_928])]) ).

fof(f2289,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f973]) ).

fof(f12071,plain,
    ( spl69_927
    | ~ spl69_69
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2288,f2248,f960,f12069]) ).

fof(f12069,plain,
    ( spl69_927
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_927])]) ).

fof(f2288,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f961]) ).

fof(f12067,plain,
    ( spl69_926
    | ~ spl69_68
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2287,f2248,f956,f12065]) ).

fof(f12065,plain,
    ( spl69_926
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK54(X1))) = app(tl(X0),sK54(X1))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_926])]) ).

fof(f2287,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK54(X1))) = app(tl(X0),sK54(X1))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f957]) ).

fof(f12063,plain,
    ( spl69_925
    | ~ spl69_67
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2286,f2248,f952,f12061]) ).

fof(f12061,plain,
    ( spl69_925
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_925])]) ).

fof(f2286,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f953]) ).

fof(f12059,plain,
    ( spl69_924
    | ~ spl69_63
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2285,f2248,f935,f12057]) ).

fof(f12057,plain,
    ( spl69_924
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_924])]) ).

fof(f2285,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f936]) ).

fof(f12055,plain,
    ( spl69_923
    | ~ spl69_62
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2284,f2248,f931,f12053]) ).

fof(f12053,plain,
    ( spl69_923
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK49(X1))) = app(tl(X0),sK49(X1))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_923])]) ).

fof(f2284,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK49(X1))) = app(tl(X0),sK49(X1))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f932]) ).

fof(f12051,plain,
    ( spl69_922
    | ~ spl69_61
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2283,f2248,f927,f12049]) ).

fof(f12049,plain,
    ( spl69_922
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_922])]) ).

fof(f2283,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f928]) ).

fof(f12047,plain,
    ( spl69_921
    | ~ spl69_58
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2282,f2248,f915,f12045]) ).

fof(f12045,plain,
    ( spl69_921
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_921])]) ).

fof(f2282,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f916]) ).

fof(f12043,plain,
    ( spl69_920
    | ~ spl69_57
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2281,f2248,f911,f12041]) ).

fof(f12041,plain,
    ( spl69_920
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK44(X1))) = app(tl(X0),sK44(X1))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_920])]) ).

fof(f2281,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK44(X1))) = app(tl(X0),sK44(X1))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f912]) ).

fof(f12039,plain,
    ( spl69_880
    | ~ spl69_879
    | ~ spl69_98
    | ~ spl69_260 ),
    inference(avatar_split_clause,[],[f2849,f2823,f1223,f11760,f11764]) ).

fof(f11764,plain,
    ( spl69_880
  <=> sP10(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_880])]) ).

fof(f11760,plain,
    ( spl69_879
  <=> strictorderP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_879])]) ).

fof(f1223,plain,
    ( spl69_98
  <=> ! [X0] :
        ( sP10(X0)
        | ~ strictorderP(X0)
        | ~ sP11(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_98])]) ).

fof(f2823,plain,
    ( spl69_260
  <=> sP11(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_260])]) ).

fof(f2849,plain,
    ( ~ strictorderP(tl(sK20))
    | sP10(tl(sK20))
    | ~ spl69_98
    | ~ spl69_260 ),
    inference(resolution,[],[f2825,f1224]) ).

fof(f1224,plain,
    ( ! [X0] :
        ( ~ sP11(X0)
        | ~ strictorderP(X0)
        | sP10(X0) )
    | ~ spl69_98 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f2825,plain,
    ( sP11(tl(sK20))
    | ~ spl69_260 ),
    inference(avatar_component_clause,[],[f2823]) ).

fof(f12038,plain,
    ( spl69_919
    | ~ spl69_56
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2280,f2248,f907,f12036]) ).

fof(f12036,plain,
    ( spl69_919
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_919])]) ).

fof(f2280,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f908]) ).

fof(f12034,plain,
    ( spl69_918
    | ~ spl69_52
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2279,f2248,f890,f12032]) ).

fof(f12032,plain,
    ( spl69_918
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_918])]) ).

fof(f2279,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f891]) ).

fof(f12030,plain,
    ( spl69_917
    | ~ spl69_51
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2278,f2248,f886,f12028]) ).

fof(f12028,plain,
    ( spl69_917
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK39(X1))) = app(tl(X0),sK39(X1))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_917])]) ).

fof(f2278,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK39(X1))) = app(tl(X0),sK39(X1))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f887]) ).

fof(f12026,plain,
    ( spl69_916
    | ~ spl69_50
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2277,f2248,f882,f12024]) ).

fof(f12024,plain,
    ( spl69_916
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_916])]) ).

fof(f2277,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f883]) ).

fof(f12022,plain,
    ( spl69_915
    | ~ spl69_47
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2276,f2248,f870,f12020]) ).

fof(f12020,plain,
    ( spl69_915
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_915])]) ).

fof(f2276,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f871]) ).

fof(f12018,plain,
    ( spl69_914
    | ~ spl69_46
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2275,f2248,f866,f12016]) ).

fof(f12016,plain,
    ( spl69_914
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK34(X1))) = app(tl(X0),sK34(X1))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_914])]) ).

fof(f2275,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK34(X1))) = app(tl(X0),sK34(X1))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f867]) ).

fof(f12014,plain,
    ( spl69_913
    | ~ spl69_45
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2274,f2248,f862,f12012]) ).

fof(f12012,plain,
    ( spl69_913
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_913])]) ).

fof(f2274,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f863]) ).

fof(f12010,plain,
    ( spl69_912
    | ~ spl69_42
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2273,f2248,f850,f12008]) ).

fof(f12008,plain,
    ( spl69_912
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK30(X1))) = app(tl(X0),sK30(X1))
        | ~ ssList(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_912])]) ).

fof(f2273,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK30(X1))) = app(tl(X0),sK30(X1))
        | ~ ssList(X0)
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f851]) ).

fof(f12006,plain,
    ( spl69_911
    | ~ spl69_41
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2272,f2248,f846,f12004]) ).

fof(f12004,plain,
    ( spl69_911
  <=> ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK29(X1))) = app(tl(X0),sK29(X1))
        | ~ ssList(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_911])]) ).

fof(f2272,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | tl(app(X0,sK29(X1))) = app(tl(X0),sK29(X1))
        | ~ ssList(X0)
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f847]) ).

fof(f12002,plain,
    ( spl69_910
    | ~ spl69_189
    | ~ spl69_208 ),
    inference(avatar_split_clause,[],[f2244,f2214,f2021,f12000]) ).

fof(f12000,plain,
    ( spl69_910
  <=> ! [X2,X0,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2))
        | ~ ssList(X0)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_910])]) ).

fof(f2244,plain,
    ( ! [X2,X0,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2))
        | ~ ssList(X0)
        | ~ ssList(X2) )
    | ~ spl69_189
    | ~ spl69_208 ),
    inference(duplicate_literal_removal,[],[f2241]) ).

fof(f2241,plain,
    ( ! [X2,X0,X1] :
        ( frontsegP(X0,X1)
        | ~ frontsegP(X0,app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X2)) )
    | ~ spl69_189
    | ~ spl69_208 ),
    inference(resolution,[],[f2215,f2022]) ).

fof(f11998,plain,
    ( spl69_909
    | ~ spl69_188
    | ~ spl69_207 ),
    inference(avatar_split_clause,[],[f2236,f2210,f2017,f11996]) ).

fof(f11996,plain,
    ( spl69_909
  <=> ! [X2,X0,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X1))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1))
        | ~ ssList(X0)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_909])]) ).

fof(f2236,plain,
    ( ! [X2,X0,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X1))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1))
        | ~ ssList(X0)
        | ~ ssList(X2) )
    | ~ spl69_188
    | ~ spl69_207 ),
    inference(duplicate_literal_removal,[],[f2233]) ).

fof(f2233,plain,
    ( ! [X2,X0,X1] :
        ( rearsegP(X0,X1)
        | ~ rearsegP(X0,app(X2,X1))
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(app(X2,X1)) )
    | ~ spl69_188
    | ~ spl69_207 ),
    inference(resolution,[],[f2211,f2018]) ).

fof(f11994,plain,
    ( spl69_908
    | ~ spl69_121
    | ~ spl69_202 ),
    inference(avatar_split_clause,[],[f2222,f2190,f1322,f11992]) ).

fof(f11992,plain,
    ( spl69_908
  <=> ! [X0,X1] :
        ( leq(X0,sK46(X1))
        | ~ leq(X0,sK47(X1))
        | ~ ssItem(sK46(X1))
        | ~ ssItem(sK47(X1))
        | ~ ssItem(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_908])]) ).

fof(f1322,plain,
    ( spl69_121
  <=> ! [X0] :
        ( sP12(X0)
        | leq(sK47(X0),sK46(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_121])]) ).

fof(f2222,plain,
    ( ! [X0,X1] :
        ( leq(X0,sK46(X1))
        | ~ leq(X0,sK47(X1))
        | ~ ssItem(sK46(X1))
        | ~ ssItem(sK47(X1))
        | ~ ssItem(X0)
        | sP12(X1) )
    | ~ spl69_121
    | ~ spl69_202 ),
    inference(resolution,[],[f2191,f1323]) ).

fof(f1323,plain,
    ( ! [X0] :
        ( leq(sK47(X0),sK46(X0))
        | sP12(X0) )
    | ~ spl69_121 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f11990,plain,
    ( spl69_907
    | ~ spl69_120
    | ~ spl69_202 ),
    inference(avatar_split_clause,[],[f2221,f2190,f1318,f11988]) ).

fof(f11988,plain,
    ( spl69_907
  <=> ! [X0,X1] :
        ( leq(X0,sK47(X1))
        | ~ leq(X0,sK46(X1))
        | ~ ssItem(sK47(X1))
        | ~ ssItem(sK46(X1))
        | ~ ssItem(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_907])]) ).

fof(f1318,plain,
    ( spl69_120
  <=> ! [X0] :
        ( sP12(X0)
        | leq(sK46(X0),sK47(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_120])]) ).

fof(f2221,plain,
    ( ! [X0,X1] :
        ( leq(X0,sK47(X1))
        | ~ leq(X0,sK46(X1))
        | ~ ssItem(sK47(X1))
        | ~ ssItem(sK46(X1))
        | ~ ssItem(X0)
        | sP12(X1) )
    | ~ spl69_120
    | ~ spl69_202 ),
    inference(resolution,[],[f2191,f1319]) ).

fof(f1319,plain,
    ( ! [X0] :
        ( leq(sK46(X0),sK47(X0))
        | sP12(X0) )
    | ~ spl69_120 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f11986,plain,
    ( spl69_906
    | ~ spl69_131
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2125,f2099,f1412,f11984]) ).

fof(f11984,plain,
    ( spl69_906
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK25(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_906])]) ).

fof(f2125,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK25(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1413]) ).

fof(f11982,plain,
    ( spl69_905
    | ~ spl69_126
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2124,f2099,f1392,f11980]) ).

fof(f11980,plain,
    ( spl69_905
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK22(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_905])]) ).

fof(f2124,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK22(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1393]) ).

fof(f11978,plain,
    ( spl69_904
    | ~ spl69_129
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2121,f2099,f1404,f11976]) ).

fof(f11976,plain,
    ( spl69_904
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,tl(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_904])]) ).

fof(f2121,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,tl(X1)))
        | ~ ssList(X0)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1405]) ).

fof(f11974,plain,
    ( spl69_903
    | ~ spl69_136
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2119,f2099,f1434,f11972]) ).

fof(f11972,plain,
    ( spl69_903
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,app(X1,X2)))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_903])]) ).

fof(f2119,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,app(X1,X2)))
        | ~ ssList(X0)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1435]) ).

fof(f11970,plain,
    ( spl69_902
    | ~ spl69_135
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2118,f2099,f1430,f11968]) ).

fof(f11968,plain,
    ( spl69_902
  <=> ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,cons(X1,X2)))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_902])]) ).

fof(f2118,plain,
    ( ! [X2,X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,cons(X1,X2)))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f1431]) ).

fof(f11966,plain,
    ( spl69_901
    | ~ spl69_187
    | ~ spl69_189 ),
    inference(avatar_split_clause,[],[f2085,f2021,f2013,f11964]) ).

fof(f11964,plain,
    ( spl69_901
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X0))
        | app(X1,X0) = X1
        | ~ frontsegP(X1,app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_901])]) ).

fof(f2085,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X0))
        | app(X1,X0) = X1
        | ~ frontsegP(X1,app(X1,X0)) )
    | ~ spl69_187
    | ~ spl69_189 ),
    inference(duplicate_literal_removal,[],[f2084]) ).

fof(f2084,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,X0))
        | app(X1,X0) = X1
        | ~ frontsegP(X1,app(X1,X0))
        | ~ ssList(app(X1,X0))
        | ~ ssList(X1) )
    | ~ spl69_187
    | ~ spl69_189 ),
    inference(resolution,[],[f2022,f2014]) ).

fof(f11962,plain,
    ( spl69_900
    | ~ spl69_185
    | ~ spl69_188 ),
    inference(avatar_split_clause,[],[f2083,f2017,f2005,f11960]) ).

fof(f11960,plain,
    ( spl69_900
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | app(X0,X1) = X1
        | ~ rearsegP(X1,app(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_900])]) ).

fof(f2083,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | app(X0,X1) = X1
        | ~ rearsegP(X1,app(X0,X1)) )
    | ~ spl69_185
    | ~ spl69_188 ),
    inference(duplicate_literal_removal,[],[f2082]) ).

fof(f2082,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X0,X1))
        | app(X0,X1) = X1
        | ~ rearsegP(X1,app(X0,X1))
        | ~ ssList(app(X0,X1))
        | ~ ssList(X1) )
    | ~ spl69_185
    | ~ spl69_188 ),
    inference(resolution,[],[f2018,f2006]) ).

fof(f11939,plain,
    ( spl69_899
    | ~ spl69_131
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2043,f2001,f1412,f11937]) ).

fof(f11937,plain,
    ( spl69_899
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_899])]) ).

fof(f2043,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1413]) ).

fof(f11935,plain,
    ( spl69_898
    | ~ spl69_126
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2042,f2001,f1392,f11933]) ).

fof(f11933,plain,
    ( spl69_898
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK22(X1)) = app(cons(X0,nil),sK22(X1))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_898])]) ).

fof(f2042,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK22(X1)) = app(cons(X0,nil),sK22(X1))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1393]) ).

fof(f11931,plain,
    ( spl69_897
    | ~ spl69_129
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2039,f2001,f1404,f11929]) ).

fof(f11929,plain,
    ( spl69_897
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_897])]) ).

fof(f2039,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f1405]) ).

fof(f11927,plain,
    ( spl69_896
    | ~ spl69_121
    | ~ spl69_181 ),
    inference(avatar_split_clause,[],[f2034,f1988,f1322,f11925]) ).

fof(f11925,plain,
    ( spl69_896
  <=> ! [X0] :
        ( sK46(X0) = sK47(X0)
        | ~ leq(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_896])]) ).

fof(f2034,plain,
    ( ! [X0] :
        ( sK46(X0) = sK47(X0)
        | ~ leq(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) )
    | ~ spl69_121
    | ~ spl69_181 ),
    inference(resolution,[],[f1989,f1323]) ).

fof(f11923,plain,
    ( spl69_895
    | ~ spl69_120
    | ~ spl69_181 ),
    inference(avatar_split_clause,[],[f2033,f1988,f1318,f11921]) ).

fof(f11921,plain,
    ( spl69_895
  <=> ! [X0] :
        ( sK46(X0) = sK47(X0)
        | ~ leq(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_895])]) ).

fof(f2033,plain,
    ( ! [X0] :
        ( sK46(X0) = sK47(X0)
        | ~ leq(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) )
    | ~ spl69_120
    | ~ spl69_181 ),
    inference(resolution,[],[f1989,f1319]) ).

fof(f11919,plain,
    ( spl69_894
    | ~ spl69_121
    | ~ spl69_179 ),
    inference(avatar_split_clause,[],[f2027,f1980,f1322,f11917]) ).

fof(f11917,plain,
    ( spl69_894
  <=> ! [X0] :
        ( sK46(X0) = sK47(X0)
        | lt(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_894])]) ).

fof(f2027,plain,
    ( ! [X0] :
        ( sK46(X0) = sK47(X0)
        | lt(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) )
    | ~ spl69_121
    | ~ spl69_179 ),
    inference(resolution,[],[f1981,f1323]) ).

fof(f11915,plain,
    ( spl69_893
    | ~ spl69_120
    | ~ spl69_179 ),
    inference(avatar_split_clause,[],[f2026,f1980,f1318,f11913]) ).

fof(f11913,plain,
    ( spl69_893
  <=> ! [X0] :
        ( sK46(X0) = sK47(X0)
        | lt(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_893])]) ).

fof(f2026,plain,
    ( ! [X0] :
        ( sK46(X0) = sK47(X0)
        | lt(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) )
    | ~ spl69_120
    | ~ spl69_179 ),
    inference(resolution,[],[f1981,f1319]) ).

fof(f11911,plain,
    ( spl69_892
    | ~ spl69_136
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1684,f1606,f1434,f11909]) ).

fof(f11909,plain,
    ( spl69_892
  <=> ! [X0,X1] :
        ( nil = app(X0,X1)
        | tl(app(X0,X1)) = sK25(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_892])]) ).

fof(f1684,plain,
    ( ! [X0,X1] :
        ( nil = app(X0,X1)
        | tl(app(X0,X1)) = sK25(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_136
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f1435]) ).

fof(f11907,plain,
    ( spl69_891
    | ~ spl69_135
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1683,f1606,f1430,f11905]) ).

fof(f11905,plain,
    ( spl69_891
  <=> ! [X0,X1] :
        ( nil = cons(X0,X1)
        | tl(cons(X0,X1)) = sK25(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_891])]) ).

fof(f1683,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | tl(cons(X0,X1)) = sK25(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_135
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f1431]) ).

fof(f11903,plain,
    ( spl69_890
    | ~ spl69_136
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1656,f1602,f1434,f11901]) ).

fof(f11901,plain,
    ( spl69_890
  <=> ! [X0,X1] :
        ( nil = app(X0,X1)
        | hd(app(X0,X1)) = sK24(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_890])]) ).

fof(f1656,plain,
    ( ! [X0,X1] :
        ( nil = app(X0,X1)
        | hd(app(X0,X1)) = sK24(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_136
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f1435]) ).

fof(f11899,plain,
    ( ~ spl69_889
    | ~ spl69_269
    | spl69_879 ),
    inference(avatar_split_clause,[],[f11769,f11760,f3070,f11896]) ).

fof(f11896,plain,
    ( spl69_889
  <=> strictorderP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_889])]) ).

fof(f11769,plain,
    ( ~ strictorderP(sK25(sK20))
    | ~ spl69_269
    | spl69_879 ),
    inference(forward_demodulation,[],[f11761,f3072]) ).

fof(f11761,plain,
    ( ~ strictorderP(tl(sK20))
    | spl69_879 ),
    inference(avatar_component_clause,[],[f11760]) ).

fof(f11894,plain,
    ( spl69_888
    | ~ spl69_135
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1655,f1602,f1430,f11892]) ).

fof(f11892,plain,
    ( spl69_888
  <=> ! [X0,X1] :
        ( nil = cons(X0,X1)
        | hd(cons(X0,X1)) = sK24(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_888])]) ).

fof(f1655,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | hd(cons(X0,X1)) = sK24(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_135
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f1431]) ).

fof(f11826,plain,
    ( spl69_887
    | ~ spl69_164
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1879,f1797,f1618,f11824]) ).

fof(f11824,plain,
    ( spl69_887
  <=> ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK66(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_887])]) ).

fof(f1879,plain,
    ( ! [X2,X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK66(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1619]) ).

fof(f11822,plain,
    ( spl69_886
    | ~ spl69_164
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1866,f1793,f1618,f11820]) ).

fof(f11820,plain,
    ( spl69_886
  <=> ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK65(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_886])]) ).

fof(f1866,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK65(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1619]) ).

fof(f11818,plain,
    ( spl69_885
    | ~ spl69_164
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1853,f1789,f1618,f11816]) ).

fof(f11816,plain,
    ( spl69_885
  <=> ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK64(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_885])]) ).

fof(f1853,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK64(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1619]) ).

fof(f11814,plain,
    ( ~ spl69_884
    | ~ spl69_269
    | spl69_880 ),
    inference(avatar_split_clause,[],[f11768,f11764,f3070,f11811]) ).

fof(f11811,plain,
    ( spl69_884
  <=> sP10(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_884])]) ).

fof(f11768,plain,
    ( ~ sP10(sK25(sK20))
    | ~ spl69_269
    | spl69_880 ),
    inference(forward_demodulation,[],[f11766,f3072]) ).

fof(f11766,plain,
    ( ~ sP10(tl(sK20))
    | spl69_880 ),
    inference(avatar_component_clause,[],[f11764]) ).

fof(f11809,plain,
    ( spl69_883
    | ~ spl69_164
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1840,f1785,f1618,f11807]) ).

fof(f11807,plain,
    ( spl69_883
  <=> ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK63(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_883])]) ).

fof(f1840,plain,
    ( ! [X2,X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK63(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1619]) ).

fof(f11805,plain,
    ( spl69_882
    | ~ spl69_164
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1827,f1781,f1618,f11803]) ).

fof(f11803,plain,
    ( spl69_882
  <=> ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK62(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_882])]) ).

fof(f1827,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK62(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1619]) ).

fof(f11801,plain,
    ( spl69_881
    | ~ spl69_164
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1812,f1777,f1618,f11799]) ).

fof(f11799,plain,
    ( spl69_881
  <=> ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK61(X0,X1))) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_881])]) ).

fof(f1812,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2)
        | hd(cons(X2,sK61(X0,X1))) = X2 )
    | ~ spl69_164
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1619]) ).

fof(f11767,plain,
    ( spl69_879
    | ~ spl69_880
    | ~ spl69_99
    | ~ spl69_260 ),
    inference(avatar_split_clause,[],[f2848,f2823,f1227,f11764,f11760]) ).

fof(f1227,plain,
    ( spl69_99
  <=> ! [X0] :
        ( strictorderP(X0)
        | ~ sP10(X0)
        | ~ sP11(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_99])]) ).

fof(f2848,plain,
    ( ~ sP10(tl(sK20))
    | strictorderP(tl(sK20))
    | ~ spl69_99
    | ~ spl69_260 ),
    inference(resolution,[],[f2825,f1228]) ).

fof(f1228,plain,
    ( ! [X0] :
        ( ~ sP11(X0)
        | ~ sP10(X0)
        | strictorderP(X0) )
    | ~ spl69_99 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f11720,plain,
    ( spl69_869
    | ~ spl69_868
    | ~ spl69_100
    | ~ spl69_259 ),
    inference(avatar_split_clause,[],[f2847,f2818,f1231,f11059,f11063]) ).

fof(f11063,plain,
    ( spl69_869
  <=> sP12(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_869])]) ).

fof(f11059,plain,
    ( spl69_868
  <=> cyclefreeP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_868])]) ).

fof(f1231,plain,
    ( spl69_100
  <=> ! [X0] :
        ( sP12(X0)
        | ~ cyclefreeP(X0)
        | ~ sP13(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_100])]) ).

fof(f2818,plain,
    ( spl69_259
  <=> sP13(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_259])]) ).

fof(f2847,plain,
    ( ~ cyclefreeP(tl(sK20))
    | sP12(tl(sK20))
    | ~ spl69_100
    | ~ spl69_259 ),
    inference(resolution,[],[f2820,f1232]) ).

fof(f1232,plain,
    ( ! [X0] :
        ( ~ sP13(X0)
        | ~ cyclefreeP(X0)
        | sP12(X0) )
    | ~ spl69_100 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f2820,plain,
    ( sP13(tl(sK20))
    | ~ spl69_259 ),
    inference(avatar_component_clause,[],[f2818]) ).

fof(f11533,plain,
    ( ~ spl69_878
    | ~ spl69_269
    | spl69_868 ),
    inference(avatar_split_clause,[],[f11068,f11059,f3070,f11530]) ).

fof(f11530,plain,
    ( spl69_878
  <=> cyclefreeP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_878])]) ).

fof(f11068,plain,
    ( ~ cyclefreeP(sK25(sK20))
    | ~ spl69_269
    | spl69_868 ),
    inference(forward_demodulation,[],[f11060,f3072]) ).

fof(f11060,plain,
    ( ~ cyclefreeP(tl(sK20))
    | spl69_868 ),
    inference(avatar_component_clause,[],[f11059]) ).

fof(f11245,plain,
    ( ~ spl69_877
    | ~ spl69_269
    | spl69_869 ),
    inference(avatar_split_clause,[],[f11067,f11063,f3070,f11242]) ).

fof(f11242,plain,
    ( spl69_877
  <=> sP12(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_877])]) ).

fof(f11067,plain,
    ( ~ sP12(sK25(sK20))
    | ~ spl69_269
    | spl69_869 ),
    inference(forward_demodulation,[],[f11065,f3072]) ).

fof(f11065,plain,
    ( ~ sP12(tl(sK20))
    | spl69_869 ),
    inference(avatar_component_clause,[],[f11063]) ).

fof(f11096,plain,
    ( spl69_876
    | ~ spl69_74
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1972,f1893,f980,f11094]) ).

fof(f11094,plain,
    ( spl69_876
  <=> ! [X0] :
        ( nil = sK60(X0)
        | sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_876])]) ).

fof(f1972,plain,
    ( ! [X0] :
        ( nil = sK60(X0)
        | sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f981]) ).

fof(f11092,plain,
    ( spl69_875
    | ~ spl69_73
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1971,f1893,f976,f11090]) ).

fof(f11090,plain,
    ( spl69_875
  <=> ! [X0] :
        ( nil = sK59(X0)
        | sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_875])]) ).

fof(f1971,plain,
    ( ! [X0] :
        ( nil = sK59(X0)
        | sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f977]) ).

fof(f11088,plain,
    ( spl69_874
    | ~ spl69_72
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1970,f1893,f972,f11086]) ).

fof(f11086,plain,
    ( spl69_874
  <=> ! [X0] :
        ( nil = sK58(X0)
        | sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_874])]) ).

fof(f1970,plain,
    ( ! [X0] :
        ( nil = sK58(X0)
        | sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f973]) ).

fof(f11084,plain,
    ( spl69_873
    | ~ spl69_69
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1969,f1893,f960,f11082]) ).

fof(f11082,plain,
    ( spl69_873
  <=> ! [X0] :
        ( nil = sK55(X0)
        | sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_873])]) ).

fof(f1969,plain,
    ( ! [X0] :
        ( nil = sK55(X0)
        | sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f961]) ).

fof(f11080,plain,
    ( spl69_872
    | ~ spl69_68
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1968,f1893,f956,f11078]) ).

fof(f11078,plain,
    ( spl69_872
  <=> ! [X0] :
        ( nil = sK54(X0)
        | sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_872])]) ).

fof(f1968,plain,
    ( ! [X0] :
        ( nil = sK54(X0)
        | sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f957]) ).

fof(f11076,plain,
    ( spl69_871
    | ~ spl69_67
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1967,f1893,f952,f11074]) ).

fof(f11074,plain,
    ( spl69_871
  <=> ! [X0] :
        ( nil = sK53(X0)
        | sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_871])]) ).

fof(f1967,plain,
    ( ! [X0] :
        ( nil = sK53(X0)
        | sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f953]) ).

fof(f11072,plain,
    ( spl69_870
    | ~ spl69_63
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1966,f1893,f935,f11070]) ).

fof(f11070,plain,
    ( spl69_870
  <=> ! [X0] :
        ( nil = sK50(X0)
        | sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_870])]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( nil = sK50(X0)
        | sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f936]) ).

fof(f11066,plain,
    ( spl69_868
    | ~ spl69_869
    | ~ spl69_101
    | ~ spl69_259 ),
    inference(avatar_split_clause,[],[f2846,f2818,f1235,f11063,f11059]) ).

fof(f1235,plain,
    ( spl69_101
  <=> ! [X0] :
        ( cyclefreeP(X0)
        | ~ sP12(X0)
        | ~ sP13(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_101])]) ).

fof(f2846,plain,
    ( ~ sP12(tl(sK20))
    | cyclefreeP(tl(sK20))
    | ~ spl69_101
    | ~ spl69_259 ),
    inference(resolution,[],[f2820,f1236]) ).

fof(f1236,plain,
    ( ! [X0] :
        ( ~ sP13(X0)
        | ~ sP12(X0)
        | cyclefreeP(X0) )
    | ~ spl69_101 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f11057,plain,
    ( spl69_867
    | ~ spl69_62
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1965,f1893,f931,f11055]) ).

fof(f11055,plain,
    ( spl69_867
  <=> ! [X0] :
        ( nil = sK49(X0)
        | sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_867])]) ).

fof(f1965,plain,
    ( ! [X0] :
        ( nil = sK49(X0)
        | sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f932]) ).

fof(f11053,plain,
    ( spl69_866
    | ~ spl69_61
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1964,f1893,f927,f11051]) ).

fof(f11051,plain,
    ( spl69_866
  <=> ! [X0] :
        ( nil = sK48(X0)
        | sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_866])]) ).

fof(f1964,plain,
    ( ! [X0] :
        ( nil = sK48(X0)
        | sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f928]) ).

fof(f11049,plain,
    ( spl69_865
    | ~ spl69_58
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1963,f1893,f915,f11047]) ).

fof(f11047,plain,
    ( spl69_865
  <=> ! [X0] :
        ( nil = sK45(X0)
        | sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_865])]) ).

fof(f1963,plain,
    ( ! [X0] :
        ( nil = sK45(X0)
        | sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f916]) ).

fof(f11045,plain,
    ( spl69_864
    | ~ spl69_57
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1962,f1893,f911,f11043]) ).

fof(f11043,plain,
    ( spl69_864
  <=> ! [X0] :
        ( nil = sK44(X0)
        | sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_864])]) ).

fof(f1962,plain,
    ( ! [X0] :
        ( nil = sK44(X0)
        | sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f912]) ).

fof(f11041,plain,
    ( spl69_863
    | ~ spl69_56
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1961,f1893,f907,f11039]) ).

fof(f11039,plain,
    ( spl69_863
  <=> ! [X0] :
        ( nil = sK43(X0)
        | sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_863])]) ).

fof(f1961,plain,
    ( ! [X0] :
        ( nil = sK43(X0)
        | sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f908]) ).

fof(f11037,plain,
    ( spl69_862
    | ~ spl69_52
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1960,f1893,f890,f11035]) ).

fof(f11035,plain,
    ( spl69_862
  <=> ! [X0] :
        ( nil = sK40(X0)
        | sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_862])]) ).

fof(f1960,plain,
    ( ! [X0] :
        ( nil = sK40(X0)
        | sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f891]) ).

fof(f11033,plain,
    ( spl69_861
    | ~ spl69_51
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1959,f1893,f886,f11031]) ).

fof(f11031,plain,
    ( spl69_861
  <=> ! [X0] :
        ( nil = sK39(X0)
        | sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_861])]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( nil = sK39(X0)
        | sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f887]) ).

fof(f11029,plain,
    ( spl69_860
    | ~ spl69_50
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1958,f1893,f882,f11027]) ).

fof(f11027,plain,
    ( spl69_860
  <=> ! [X0] :
        ( nil = sK38(X0)
        | sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_860])]) ).

fof(f1958,plain,
    ( ! [X0] :
        ( nil = sK38(X0)
        | sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f883]) ).

fof(f11025,plain,
    ( spl69_859
    | ~ spl69_47
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1957,f1893,f870,f11023]) ).

fof(f11023,plain,
    ( spl69_859
  <=> ! [X0] :
        ( nil = sK35(X0)
        | sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_859])]) ).

fof(f1957,plain,
    ( ! [X0] :
        ( nil = sK35(X0)
        | sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f871]) ).

fof(f11021,plain,
    ( spl69_858
    | ~ spl69_46
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1956,f1893,f866,f11019]) ).

fof(f11019,plain,
    ( spl69_858
  <=> ! [X0] :
        ( nil = sK34(X0)
        | sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_858])]) ).

fof(f1956,plain,
    ( ! [X0] :
        ( nil = sK34(X0)
        | sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f867]) ).

fof(f11017,plain,
    ( spl69_812
    | ~ spl69_811
    | ~ spl69_102
    | ~ spl69_258 ),
    inference(avatar_split_clause,[],[f2845,f2813,f1239,f10467,f10471]) ).

fof(f10471,plain,
    ( spl69_812
  <=> sP14(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_812])]) ).

fof(f10467,plain,
    ( spl69_811
  <=> totalorderedP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_811])]) ).

fof(f1239,plain,
    ( spl69_102
  <=> ! [X0] :
        ( sP14(X0)
        | ~ totalorderedP(X0)
        | ~ sP15(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_102])]) ).

fof(f2813,plain,
    ( spl69_258
  <=> sP15(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_258])]) ).

fof(f2845,plain,
    ( ~ totalorderedP(tl(sK20))
    | sP14(tl(sK20))
    | ~ spl69_102
    | ~ spl69_258 ),
    inference(resolution,[],[f2815,f1240]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( ~ sP15(X0)
        | ~ totalorderedP(X0)
        | sP14(X0) )
    | ~ spl69_102 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f2815,plain,
    ( sP15(tl(sK20))
    | ~ spl69_258 ),
    inference(avatar_component_clause,[],[f2813]) ).

fof(f11016,plain,
    ( spl69_857
    | ~ spl69_45
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1955,f1893,f862,f11014]) ).

fof(f11014,plain,
    ( spl69_857
  <=> ! [X0] :
        ( nil = sK33(X0)
        | sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_857])]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( nil = sK33(X0)
        | sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f863]) ).

fof(f11012,plain,
    ( spl69_856
    | ~ spl69_42
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1954,f1893,f850,f11010]) ).

fof(f11010,plain,
    ( spl69_856
  <=> ! [X0] :
        ( nil = sK30(X0)
        | sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_856])]) ).

fof(f1954,plain,
    ( ! [X0] :
        ( nil = sK30(X0)
        | sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f851]) ).

fof(f11008,plain,
    ( spl69_855
    | ~ spl69_41
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1953,f1893,f846,f11006]) ).

fof(f11006,plain,
    ( spl69_855
  <=> ! [X0] :
        ( nil = sK29(X0)
        | sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_855])]) ).

fof(f1953,plain,
    ( ! [X0] :
        ( nil = sK29(X0)
        | sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f847]) ).

fof(f11004,plain,
    ( spl69_854
    | ~ spl69_74
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1938,f1889,f980,f11002]) ).

fof(f11002,plain,
    ( spl69_854
  <=> ! [X0] :
        ( nil = sK60(X0)
        | sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_854])]) ).

fof(f1938,plain,
    ( ! [X0] :
        ( nil = sK60(X0)
        | sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f981]) ).

fof(f11000,plain,
    ( spl69_853
    | ~ spl69_73
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1937,f1889,f976,f10998]) ).

fof(f10998,plain,
    ( spl69_853
  <=> ! [X0] :
        ( nil = sK59(X0)
        | sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_853])]) ).

fof(f1937,plain,
    ( ! [X0] :
        ( nil = sK59(X0)
        | sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f977]) ).

fof(f10996,plain,
    ( spl69_852
    | ~ spl69_72
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1936,f1889,f972,f10994]) ).

fof(f10994,plain,
    ( spl69_852
  <=> ! [X0] :
        ( nil = sK58(X0)
        | sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_852])]) ).

fof(f1936,plain,
    ( ! [X0] :
        ( nil = sK58(X0)
        | sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f973]) ).

fof(f10992,plain,
    ( spl69_851
    | ~ spl69_69
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1935,f1889,f960,f10990]) ).

fof(f10990,plain,
    ( spl69_851
  <=> ! [X0] :
        ( nil = sK55(X0)
        | sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_851])]) ).

fof(f1935,plain,
    ( ! [X0] :
        ( nil = sK55(X0)
        | sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f961]) ).

fof(f10988,plain,
    ( spl69_850
    | ~ spl69_68
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1934,f1889,f956,f10986]) ).

fof(f10986,plain,
    ( spl69_850
  <=> ! [X0] :
        ( nil = sK54(X0)
        | sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_850])]) ).

fof(f1934,plain,
    ( ! [X0] :
        ( nil = sK54(X0)
        | sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f957]) ).

fof(f10984,plain,
    ( spl69_849
    | ~ spl69_67
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1933,f1889,f952,f10982]) ).

fof(f10982,plain,
    ( spl69_849
  <=> ! [X0] :
        ( nil = sK53(X0)
        | sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_849])]) ).

fof(f1933,plain,
    ( ! [X0] :
        ( nil = sK53(X0)
        | sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f953]) ).

fof(f10980,plain,
    ( spl69_848
    | ~ spl69_63
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1932,f1889,f935,f10978]) ).

fof(f10978,plain,
    ( spl69_848
  <=> ! [X0] :
        ( nil = sK50(X0)
        | sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_848])]) ).

fof(f1932,plain,
    ( ! [X0] :
        ( nil = sK50(X0)
        | sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f936]) ).

fof(f10976,plain,
    ( spl69_847
    | ~ spl69_62
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1931,f1889,f931,f10974]) ).

fof(f10974,plain,
    ( spl69_847
  <=> ! [X0] :
        ( nil = sK49(X0)
        | sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_847])]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( nil = sK49(X0)
        | sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f932]) ).

fof(f10972,plain,
    ( spl69_846
    | ~ spl69_61
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1930,f1889,f927,f10970]) ).

fof(f10970,plain,
    ( spl69_846
  <=> ! [X0] :
        ( nil = sK48(X0)
        | sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_846])]) ).

fof(f1930,plain,
    ( ! [X0] :
        ( nil = sK48(X0)
        | sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f928]) ).

fof(f10968,plain,
    ( spl69_845
    | ~ spl69_58
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1929,f1889,f915,f10966]) ).

fof(f10966,plain,
    ( spl69_845
  <=> ! [X0] :
        ( nil = sK45(X0)
        | sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_845])]) ).

fof(f1929,plain,
    ( ! [X0] :
        ( nil = sK45(X0)
        | sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f916]) ).

fof(f10964,plain,
    ( spl69_844
    | ~ spl69_57
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1928,f1889,f911,f10962]) ).

fof(f10962,plain,
    ( spl69_844
  <=> ! [X0] :
        ( nil = sK44(X0)
        | sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_844])]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( nil = sK44(X0)
        | sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f912]) ).

fof(f10960,plain,
    ( spl69_843
    | ~ spl69_56
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1927,f1889,f907,f10958]) ).

fof(f10958,plain,
    ( spl69_843
  <=> ! [X0] :
        ( nil = sK43(X0)
        | sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_843])]) ).

fof(f1927,plain,
    ( ! [X0] :
        ( nil = sK43(X0)
        | sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f908]) ).

fof(f10956,plain,
    ( spl69_842
    | ~ spl69_52
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1926,f1889,f890,f10954]) ).

fof(f10954,plain,
    ( spl69_842
  <=> ! [X0] :
        ( nil = sK40(X0)
        | sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_842])]) ).

fof(f1926,plain,
    ( ! [X0] :
        ( nil = sK40(X0)
        | sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f891]) ).

fof(f10952,plain,
    ( spl69_841
    | ~ spl69_51
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1925,f1889,f886,f10950]) ).

fof(f10950,plain,
    ( spl69_841
  <=> ! [X0] :
        ( nil = sK39(X0)
        | sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_841])]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( nil = sK39(X0)
        | sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f887]) ).

fof(f10948,plain,
    ( spl69_840
    | ~ spl69_50
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1924,f1889,f882,f10946]) ).

fof(f10946,plain,
    ( spl69_840
  <=> ! [X0] :
        ( nil = sK38(X0)
        | sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_840])]) ).

fof(f1924,plain,
    ( ! [X0] :
        ( nil = sK38(X0)
        | sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f883]) ).

fof(f10944,plain,
    ( spl69_839
    | ~ spl69_47
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1923,f1889,f870,f10942]) ).

fof(f10942,plain,
    ( spl69_839
  <=> ! [X0] :
        ( nil = sK35(X0)
        | sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_839])]) ).

fof(f1923,plain,
    ( ! [X0] :
        ( nil = sK35(X0)
        | sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f871]) ).

fof(f10940,plain,
    ( spl69_838
    | ~ spl69_46
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1922,f1889,f866,f10938]) ).

fof(f10938,plain,
    ( spl69_838
  <=> ! [X0] :
        ( nil = sK34(X0)
        | sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_838])]) ).

fof(f1922,plain,
    ( ! [X0] :
        ( nil = sK34(X0)
        | sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f867]) ).

fof(f10923,plain,
    ( spl69_837
    | ~ spl69_45
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1921,f1889,f862,f10921]) ).

fof(f10921,plain,
    ( spl69_837
  <=> ! [X0] :
        ( nil = sK33(X0)
        | sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_837])]) ).

fof(f1921,plain,
    ( ! [X0] :
        ( nil = sK33(X0)
        | sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f863]) ).

fof(f10919,plain,
    ( spl69_836
    | ~ spl69_42
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1920,f1889,f850,f10917]) ).

fof(f10917,plain,
    ( spl69_836
  <=> ! [X0] :
        ( nil = sK30(X0)
        | sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_836])]) ).

fof(f1920,plain,
    ( ! [X0] :
        ( nil = sK30(X0)
        | sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f851]) ).

fof(f10915,plain,
    ( spl69_835
    | ~ spl69_41
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1919,f1889,f846,f10913]) ).

fof(f10913,plain,
    ( spl69_835
  <=> ! [X0] :
        ( nil = sK29(X0)
        | sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_835])]) ).

fof(f1919,plain,
    ( ! [X0] :
        ( nil = sK29(X0)
        | sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f847]) ).

fof(f10911,plain,
    ( spl69_834
    | ~ spl69_112
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1875,f1797,f1284,f10909]) ).

fof(f10909,plain,
    ( spl69_834
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK66(X0,X1) = app(nil,sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_834])]) ).

fof(f1875,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK66(X0,X1) = app(nil,sK66(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1285]) ).

fof(f10907,plain,
    ( spl69_833
    | ~ spl69_111
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1874,f1797,f1280,f10905]) ).

fof(f10905,plain,
    ( spl69_833
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK66(X0,X1) = app(sK66(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_833])]) ).

fof(f1874,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK66(X0,X1) = app(sK66(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f1281]) ).

fof(f10903,plain,
    ( spl69_832
    | ~ spl69_112
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1862,f1793,f1284,f10901]) ).

fof(f10901,plain,
    ( spl69_832
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK65(X0,X1) = app(nil,sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_832])]) ).

fof(f1862,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK65(X0,X1) = app(nil,sK65(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1285]) ).

fof(f10899,plain,
    ( spl69_831
    | ~ spl69_111
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1861,f1793,f1280,f10897]) ).

fof(f10897,plain,
    ( spl69_831
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK65(X0,X1) = app(sK65(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_831])]) ).

fof(f1861,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK65(X0,X1) = app(sK65(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f1281]) ).

fof(f10895,plain,
    ( spl69_830
    | ~ spl69_112
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1849,f1789,f1284,f10893]) ).

fof(f10893,plain,
    ( spl69_830
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK64(X0,X1) = app(nil,sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_830])]) ).

fof(f1849,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK64(X0,X1) = app(nil,sK64(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1285]) ).

fof(f10891,plain,
    ( spl69_829
    | ~ spl69_111
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1848,f1789,f1280,f10889]) ).

fof(f10889,plain,
    ( spl69_829
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK64(X0,X1) = app(sK64(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_829])]) ).

fof(f1848,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK64(X0,X1) = app(sK64(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f1281]) ).

fof(f10887,plain,
    ( spl69_828
    | ~ spl69_112
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1836,f1785,f1284,f10885]) ).

fof(f10885,plain,
    ( spl69_828
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK63(X0,X1) = app(nil,sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_828])]) ).

fof(f1836,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK63(X0,X1) = app(nil,sK63(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1285]) ).

fof(f10883,plain,
    ( ~ spl69_827
    | ~ spl69_269
    | spl69_811 ),
    inference(avatar_split_clause,[],[f10476,f10467,f3070,f10880]) ).

fof(f10880,plain,
    ( spl69_827
  <=> totalorderedP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_827])]) ).

fof(f10476,plain,
    ( ~ totalorderedP(sK25(sK20))
    | ~ spl69_269
    | spl69_811 ),
    inference(forward_demodulation,[],[f10468,f3072]) ).

fof(f10468,plain,
    ( ~ totalorderedP(tl(sK20))
    | spl69_811 ),
    inference(avatar_component_clause,[],[f10467]) ).

fof(f10878,plain,
    ( spl69_826
    | ~ spl69_111
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1835,f1785,f1280,f10876]) ).

fof(f10876,plain,
    ( spl69_826
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK63(X0,X1) = app(sK63(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_826])]) ).

fof(f1835,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sK63(X0,X1) = app(sK63(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f1281]) ).

fof(f10874,plain,
    ( spl69_825
    | ~ spl69_112
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1823,f1781,f1284,f10872]) ).

fof(f10872,plain,
    ( spl69_825
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK62(X0,X1) = app(nil,sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_825])]) ).

fof(f1823,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK62(X0,X1) = app(nil,sK62(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1285]) ).

fof(f10870,plain,
    ( spl69_824
    | ~ spl69_111
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1822,f1781,f1280,f10868]) ).

fof(f10868,plain,
    ( spl69_824
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK62(X0,X1) = app(sK62(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_824])]) ).

fof(f1822,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK62(X0,X1) = app(sK62(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f1281]) ).

fof(f10866,plain,
    ( spl69_823
    | ~ spl69_112
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1808,f1777,f1284,f10864]) ).

fof(f10864,plain,
    ( spl69_823
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK61(X0,X1) = app(nil,sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_823])]) ).

fof(f1808,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK61(X0,X1) = app(nil,sK61(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1285]) ).

fof(f10862,plain,
    ( spl69_822
    | ~ spl69_111
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1807,f1777,f1280,f10860]) ).

fof(f10860,plain,
    ( spl69_822
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK61(X0,X1) = app(sK61(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_822])]) ).

fof(f1807,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sK61(X0,X1) = app(sK61(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f1281]) ).

fof(f10858,plain,
    ( spl69_821
    | ~ spl69_136
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1712,f1614,f1434,f10856]) ).

fof(f10856,plain,
    ( spl69_821
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | app(X1,X2) = tl(cons(X0,app(X1,X2)))
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_821])]) ).

fof(f1712,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | app(X1,X2) = tl(cons(X0,app(X1,X2)))
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f1435]) ).

fof(f10854,plain,
    ( spl69_820
    | ~ spl69_135
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1711,f1614,f1430,f10852]) ).

fof(f10852,plain,
    ( spl69_820
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_820])]) ).

fof(f1711,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f1431]) ).

fof(f10850,plain,
    ( spl69_819
    | ~ spl69_131
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1690,f1606,f1412,f10848]) ).

fof(f10848,plain,
    ( spl69_819
  <=> ! [X0] :
        ( nil = sK25(X0)
        | tl(sK25(X0)) = sK25(sK25(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_819])]) ).

fof(f1690,plain,
    ( ! [X0] :
        ( nil = sK25(X0)
        | tl(sK25(X0)) = sK25(sK25(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_131
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f1413]) ).

fof(f10846,plain,
    ( spl69_818
    | ~ spl69_126
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1689,f1606,f1392,f10844]) ).

fof(f10844,plain,
    ( spl69_818
  <=> ! [X0] :
        ( nil = sK22(X0)
        | tl(sK22(X0)) = sK25(sK22(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_818])]) ).

fof(f1689,plain,
    ( ! [X0] :
        ( nil = sK22(X0)
        | tl(sK22(X0)) = sK25(sK22(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_126
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f1393]) ).

fof(f10842,plain,
    ( spl69_817
    | ~ spl69_129
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1686,f1606,f1404,f10840]) ).

fof(f10840,plain,
    ( spl69_817
  <=> ! [X0] :
        ( nil = tl(X0)
        | tl(tl(X0)) = sK25(tl(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_817])]) ).

fof(f1686,plain,
    ( ! [X0] :
        ( nil = tl(X0)
        | tl(tl(X0)) = sK25(tl(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_129
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f1405]) ).

fof(f10838,plain,
    ( ~ spl69_816
    | ~ spl69_269
    | spl69_812 ),
    inference(avatar_split_clause,[],[f10475,f10471,f3070,f10835]) ).

fof(f10835,plain,
    ( spl69_816
  <=> sP14(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_816])]) ).

fof(f10475,plain,
    ( ~ sP14(sK25(sK20))
    | ~ spl69_269
    | spl69_812 ),
    inference(forward_demodulation,[],[f10473,f3072]) ).

fof(f10473,plain,
    ( ~ sP14(tl(sK20))
    | spl69_812 ),
    inference(avatar_component_clause,[],[f10471]) ).

fof(f10833,plain,
    ( spl69_815
    | ~ spl69_131
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1662,f1602,f1412,f10831]) ).

fof(f10831,plain,
    ( spl69_815
  <=> ! [X0] :
        ( nil = sK25(X0)
        | hd(sK25(X0)) = sK24(sK25(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_815])]) ).

fof(f1662,plain,
    ( ! [X0] :
        ( nil = sK25(X0)
        | hd(sK25(X0)) = sK24(sK25(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_131
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f1413]) ).

fof(f10829,plain,
    ( spl69_814
    | ~ spl69_126
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1661,f1602,f1392,f10827]) ).

fof(f10827,plain,
    ( spl69_814
  <=> ! [X0] :
        ( nil = sK22(X0)
        | hd(sK22(X0)) = sK24(sK22(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_814])]) ).

fof(f1661,plain,
    ( ! [X0] :
        ( nil = sK22(X0)
        | hd(sK22(X0)) = sK24(sK22(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_126
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f1393]) ).

fof(f10825,plain,
    ( spl69_813
    | ~ spl69_129
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1658,f1602,f1404,f10823]) ).

fof(f10823,plain,
    ( spl69_813
  <=> ! [X0] :
        ( nil = tl(X0)
        | hd(tl(X0)) = sK24(tl(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_813])]) ).

fof(f1658,plain,
    ( ! [X0] :
        ( nil = tl(X0)
        | hd(tl(X0)) = sK24(tl(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_129
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f1405]) ).

fof(f10474,plain,
    ( spl69_811
    | ~ spl69_812
    | ~ spl69_103
    | ~ spl69_258 ),
    inference(avatar_split_clause,[],[f2844,f2813,f1243,f10471,f10467]) ).

fof(f1243,plain,
    ( spl69_103
  <=> ! [X0] :
        ( totalorderedP(X0)
        | ~ sP14(X0)
        | ~ sP15(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_103])]) ).

fof(f2844,plain,
    ( ~ sP14(tl(sK20))
    | totalorderedP(tl(sK20))
    | ~ spl69_103
    | ~ spl69_258 ),
    inference(resolution,[],[f2815,f1244]) ).

fof(f1244,plain,
    ( ! [X0] :
        ( ~ sP15(X0)
        | ~ sP14(X0)
        | totalorderedP(X0) )
    | ~ spl69_103 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f9965,plain,
    ( spl69_791
    | ~ spl69_790
    | ~ spl69_104
    | ~ spl69_257 ),
    inference(avatar_split_clause,[],[f2843,f2808,f1247,f8947,f8951]) ).

fof(f8951,plain,
    ( spl69_791
  <=> sP16(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_791])]) ).

fof(f8947,plain,
    ( spl69_790
  <=> strictorderedP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_790])]) ).

fof(f1247,plain,
    ( spl69_104
  <=> ! [X0] :
        ( sP16(X0)
        | ~ strictorderedP(X0)
        | ~ sP17(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_104])]) ).

fof(f2808,plain,
    ( spl69_257
  <=> sP17(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_257])]) ).

fof(f2843,plain,
    ( ~ strictorderedP(tl(sK20))
    | sP16(tl(sK20))
    | ~ spl69_104
    | ~ spl69_257 ),
    inference(resolution,[],[f2810,f1248]) ).

fof(f1248,plain,
    ( ! [X0] :
        ( ~ sP17(X0)
        | ~ strictorderedP(X0)
        | sP16(X0) )
    | ~ spl69_104 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f2810,plain,
    ( sP17(tl(sK20))
    | ~ spl69_257 ),
    inference(avatar_component_clause,[],[f2808]) ).

fof(f9095,plain,
    ( ~ spl69_810
    | ~ spl69_269
    | spl69_790 ),
    inference(avatar_split_clause,[],[f8956,f8947,f3070,f9092]) ).

fof(f9092,plain,
    ( spl69_810
  <=> strictorderedP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_810])]) ).

fof(f8956,plain,
    ( ~ strictorderedP(sK25(sK20))
    | ~ spl69_269
    | spl69_790 ),
    inference(forward_demodulation,[],[f8948,f3072]) ).

fof(f8948,plain,
    ( ~ strictorderedP(tl(sK20))
    | spl69_790 ),
    inference(avatar_component_clause,[],[f8947]) ).

fof(f9029,plain,
    ( ~ spl69_14
    | spl69_809
    | ~ spl69_33
    | ~ spl69_228 ),
    inference(avatar_split_clause,[],[f2484,f2443,f814,f9027,f711]) ).

fof(f2484,plain,
    ( ! [X0] :
        ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl69_33
    | ~ spl69_228 ),
    inference(duplicate_literal_removal,[],[f2481]) ).

fof(f2481,plain,
    ( ! [X0] :
        ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
        | ~ ssList(nil)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_33
    | ~ spl69_228 ),
    inference(resolution,[],[f2444,f815]) ).

fof(f9025,plain,
    ( spl69_808
    | ~ spl69_14
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2374,f2327,f711,f9023]) ).

fof(f2374,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),nil) = app(X0,app(X1,nil))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_14
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f713]) ).

fof(f9021,plain,
    ( spl69_807
    | ~ spl69_14
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2340,f2314,f711,f9019]) ).

fof(f9019,plain,
    ( spl69_807
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_807])]) ).

fof(f2340,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
        | ~ ssList(X1) )
    | ~ spl69_14
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f713]) ).

fof(f9017,plain,
    ( spl69_806
    | ~ spl69_74
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2145,f2099,f980,f9015]) ).

fof(f9015,plain,
    ( spl69_806
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK60(X1)))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_806])]) ).

fof(f2145,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK60(X1)))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f981]) ).

fof(f9013,plain,
    ( spl69_805
    | ~ spl69_73
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2144,f2099,f976,f9011]) ).

fof(f9011,plain,
    ( spl69_805
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK59(X1)))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_805])]) ).

fof(f2144,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK59(X1)))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f977]) ).

fof(f9009,plain,
    ( spl69_804
    | ~ spl69_72
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2143,f2099,f972,f9007]) ).

fof(f9007,plain,
    ( spl69_804
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK58(X1)))
        | ~ ssList(X0)
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_804])]) ).

fof(f2143,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK58(X1)))
        | ~ ssList(X0)
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f973]) ).

fof(f9005,plain,
    ( spl69_803
    | ~ spl69_69
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2142,f2099,f960,f9003]) ).

fof(f9003,plain,
    ( spl69_803
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK55(X1)))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_803])]) ).

fof(f2142,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK55(X1)))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f961]) ).

fof(f9001,plain,
    ( ~ spl69_802
    | ~ spl69_269
    | spl69_791 ),
    inference(avatar_split_clause,[],[f8955,f8951,f3070,f8998]) ).

fof(f8998,plain,
    ( spl69_802
  <=> sP16(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_802])]) ).

fof(f8955,plain,
    ( ~ sP16(sK25(sK20))
    | ~ spl69_269
    | spl69_791 ),
    inference(forward_demodulation,[],[f8953,f3072]) ).

fof(f8953,plain,
    ( ~ sP16(tl(sK20))
    | spl69_791 ),
    inference(avatar_component_clause,[],[f8951]) ).

fof(f8996,plain,
    ( spl69_801
    | ~ spl69_68
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2141,f2099,f956,f8994]) ).

fof(f8994,plain,
    ( spl69_801
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK54(X1)))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_801])]) ).

fof(f2141,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK54(X1)))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f957]) ).

fof(f8992,plain,
    ( spl69_800
    | ~ spl69_67
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2140,f2099,f952,f8990]) ).

fof(f8990,plain,
    ( spl69_800
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK53(X1)))
        | ~ ssList(X0)
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_800])]) ).

fof(f2140,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK53(X1)))
        | ~ ssList(X0)
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f953]) ).

fof(f8988,plain,
    ( spl69_799
    | ~ spl69_63
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2139,f2099,f935,f8986]) ).

fof(f8986,plain,
    ( spl69_799
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK50(X1)))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_799])]) ).

fof(f2139,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK50(X1)))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f936]) ).

fof(f8984,plain,
    ( spl69_798
    | ~ spl69_62
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2138,f2099,f931,f8982]) ).

fof(f8982,plain,
    ( spl69_798
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK49(X1)))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_798])]) ).

fof(f2138,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK49(X1)))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f932]) ).

fof(f8980,plain,
    ( spl69_797
    | ~ spl69_61
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2137,f2099,f927,f8978]) ).

fof(f8978,plain,
    ( spl69_797
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK48(X1)))
        | ~ ssList(X0)
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_797])]) ).

fof(f2137,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK48(X1)))
        | ~ ssList(X0)
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f928]) ).

fof(f8976,plain,
    ( spl69_796
    | ~ spl69_58
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2136,f2099,f915,f8974]) ).

fof(f8974,plain,
    ( spl69_796
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK45(X1)))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_796])]) ).

fof(f2136,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK45(X1)))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f916]) ).

fof(f8972,plain,
    ( spl69_795
    | ~ spl69_57
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2135,f2099,f911,f8970]) ).

fof(f8970,plain,
    ( spl69_795
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK44(X1)))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_795])]) ).

fof(f2135,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK44(X1)))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f912]) ).

fof(f8968,plain,
    ( spl69_794
    | ~ spl69_56
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2134,f2099,f907,f8966]) ).

fof(f8966,plain,
    ( spl69_794
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK43(X1)))
        | ~ ssList(X0)
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_794])]) ).

fof(f2134,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK43(X1)))
        | ~ ssList(X0)
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f908]) ).

fof(f8964,plain,
    ( spl69_793
    | ~ spl69_52
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2133,f2099,f890,f8962]) ).

fof(f8962,plain,
    ( spl69_793
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK40(X1)))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_793])]) ).

fof(f2133,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK40(X1)))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f891]) ).

fof(f8960,plain,
    ( spl69_792
    | ~ spl69_51
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2132,f2099,f886,f8958]) ).

fof(f8958,plain,
    ( spl69_792
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK39(X1)))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_792])]) ).

fof(f2132,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK39(X1)))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f887]) ).

fof(f8954,plain,
    ( spl69_790
    | ~ spl69_791
    | ~ spl69_106
    | ~ spl69_257 ),
    inference(avatar_split_clause,[],[f2842,f2808,f1256,f8951,f8947]) ).

fof(f1256,plain,
    ( spl69_106
  <=> ! [X0] :
        ( strictorderedP(X0)
        | ~ sP16(X0)
        | ~ sP17(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_106])]) ).

fof(f2842,plain,
    ( ~ sP16(tl(sK20))
    | strictorderedP(tl(sK20))
    | ~ spl69_106
    | ~ spl69_257 ),
    inference(resolution,[],[f2810,f1257]) ).

fof(f1257,plain,
    ( ! [X0] :
        ( ~ sP17(X0)
        | ~ sP16(X0)
        | strictorderedP(X0) )
    | ~ spl69_106 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f8945,plain,
    ( spl69_789
    | ~ spl69_50
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2131,f2099,f882,f8943]) ).

fof(f8943,plain,
    ( spl69_789
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK38(X1)))
        | ~ ssList(X0)
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_789])]) ).

fof(f2131,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK38(X1)))
        | ~ ssList(X0)
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f883]) ).

fof(f8941,plain,
    ( spl69_788
    | ~ spl69_47
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2130,f2099,f870,f8939]) ).

fof(f8939,plain,
    ( spl69_788
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK35(X1)))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_788])]) ).

fof(f2130,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK35(X1)))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f871]) ).

fof(f8937,plain,
    ( spl69_787
    | ~ spl69_46
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2129,f2099,f866,f8935]) ).

fof(f8935,plain,
    ( spl69_787
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK34(X1)))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_787])]) ).

fof(f2129,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK34(X1)))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f867]) ).

fof(f8933,plain,
    ( spl69_786
    | ~ spl69_45
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2128,f2099,f862,f8931]) ).

fof(f8931,plain,
    ( spl69_786
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK33(X1)))
        | ~ ssList(X0)
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_786])]) ).

fof(f2128,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK33(X1)))
        | ~ ssList(X0)
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f863]) ).

fof(f8929,plain,
    ( spl69_785
    | ~ spl69_42
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2127,f2099,f850,f8927]) ).

fof(f8927,plain,
    ( spl69_785
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK30(X1)))
        | ~ ssList(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_785])]) ).

fof(f2127,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK30(X1)))
        | ~ ssList(X0)
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f851]) ).

fof(f8925,plain,
    ( spl69_784
    | ~ spl69_41
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2126,f2099,f846,f8923]) ).

fof(f8923,plain,
    ( spl69_784
  <=> ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK29(X1)))
        | ~ ssList(X0)
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_784])]) ).

fof(f2126,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK29(X1)))
        | ~ ssList(X0)
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f847]) ).

fof(f8921,plain,
    ( spl69_783
    | ~ spl69_74
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2063,f2001,f980,f8919]) ).

fof(f8919,plain,
    ( spl69_783
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_783])]) ).

fof(f2063,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f981]) ).

fof(f8917,plain,
    ( spl69_782
    | ~ spl69_73
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2062,f2001,f976,f8915]) ).

fof(f8915,plain,
    ( spl69_782
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK59(X1)) = app(cons(X0,nil),sK59(X1))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_782])]) ).

fof(f2062,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK59(X1)) = app(cons(X0,nil),sK59(X1))
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f977]) ).

fof(f8913,plain,
    ( spl69_781
    | ~ spl69_72
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2061,f2001,f972,f8911]) ).

fof(f8911,plain,
    ( spl69_781
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
        | sP16(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_781])]) ).

fof(f2061,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f973]) ).

fof(f8909,plain,
    ( spl69_780
    | ~ spl69_69
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2060,f2001,f960,f8907]) ).

fof(f8907,plain,
    ( spl69_780
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_780])]) ).

fof(f2060,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f961]) ).

fof(f8905,plain,
    ( spl69_748
    | ~ spl69_747
    | ~ spl69_91
    | ~ spl69_256 ),
    inference(avatar_split_clause,[],[f2841,f2803,f1194,f8408,f8412]) ).

fof(f8412,plain,
    ( spl69_748
  <=> sP4(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_748])]) ).

fof(f8408,plain,
    ( spl69_747
  <=> equalelemsP(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_747])]) ).

fof(f1194,plain,
    ( spl69_91
  <=> ! [X0] :
        ( sP4(X0)
        | ~ equalelemsP(X0)
        | ~ sP5(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_91])]) ).

fof(f2803,plain,
    ( spl69_256
  <=> sP5(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_256])]) ).

fof(f2841,plain,
    ( ~ equalelemsP(tl(sK20))
    | sP4(tl(sK20))
    | ~ spl69_91
    | ~ spl69_256 ),
    inference(resolution,[],[f2805,f1195]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( ~ sP5(X0)
        | ~ equalelemsP(X0)
        | sP4(X0) )
    | ~ spl69_91 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f2805,plain,
    ( sP5(tl(sK20))
    | ~ spl69_256 ),
    inference(avatar_component_clause,[],[f2803]) ).

fof(f8904,plain,
    ( spl69_779
    | ~ spl69_68
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2059,f2001,f956,f8902]) ).

fof(f8902,plain,
    ( spl69_779
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK54(X1)) = app(cons(X0,nil),sK54(X1))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_779])]) ).

fof(f2059,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK54(X1)) = app(cons(X0,nil),sK54(X1))
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f957]) ).

fof(f8900,plain,
    ( spl69_778
    | ~ spl69_67
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2058,f2001,f952,f8898]) ).

fof(f8898,plain,
    ( spl69_778
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
        | sP14(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_778])]) ).

fof(f2058,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f953]) ).

fof(f8896,plain,
    ( spl69_777
    | ~ spl69_63
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2057,f2001,f935,f8894]) ).

fof(f8894,plain,
    ( spl69_777
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_777])]) ).

fof(f2057,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f936]) ).

fof(f8892,plain,
    ( spl69_776
    | ~ spl69_62
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2056,f2001,f931,f8890]) ).

fof(f8890,plain,
    ( spl69_776
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK49(X1)) = app(cons(X0,nil),sK49(X1))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_776])]) ).

fof(f2056,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK49(X1)) = app(cons(X0,nil),sK49(X1))
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f932]) ).

fof(f8888,plain,
    ( spl69_775
    | ~ spl69_61
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2055,f2001,f927,f8886]) ).

fof(f8886,plain,
    ( spl69_775
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
        | sP12(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_775])]) ).

fof(f2055,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f928]) ).

fof(f8884,plain,
    ( spl69_774
    | ~ spl69_58
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2054,f2001,f915,f8882]) ).

fof(f8882,plain,
    ( spl69_774
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_774])]) ).

fof(f2054,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f916]) ).

fof(f8880,plain,
    ( spl69_773
    | ~ spl69_57
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2053,f2001,f911,f8878]) ).

fof(f8878,plain,
    ( spl69_773
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK44(X1)) = app(cons(X0,nil),sK44(X1))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_773])]) ).

fof(f2053,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK44(X1)) = app(cons(X0,nil),sK44(X1))
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f912]) ).

fof(f8876,plain,
    ( spl69_772
    | ~ spl69_56
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2052,f2001,f907,f8874]) ).

fof(f8874,plain,
    ( spl69_772
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
        | sP10(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_772])]) ).

fof(f2052,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f908]) ).

fof(f8872,plain,
    ( spl69_771
    | ~ spl69_52
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2051,f2001,f890,f8870]) ).

fof(f8870,plain,
    ( spl69_771
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_771])]) ).

fof(f2051,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f891]) ).

fof(f8868,plain,
    ( spl69_770
    | ~ spl69_51
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2050,f2001,f886,f8866]) ).

fof(f8866,plain,
    ( spl69_770
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK39(X1)) = app(cons(X0,nil),sK39(X1))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_770])]) ).

fof(f2050,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK39(X1)) = app(cons(X0,nil),sK39(X1))
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f887]) ).

fof(f8864,plain,
    ( spl69_769
    | ~ spl69_50
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2049,f2001,f882,f8862]) ).

fof(f8862,plain,
    ( spl69_769
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
        | sP8(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_769])]) ).

fof(f2049,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f883]) ).

fof(f8860,plain,
    ( spl69_768
    | ~ spl69_47
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2048,f2001,f870,f8858]) ).

fof(f8858,plain,
    ( spl69_768
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_768])]) ).

fof(f2048,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f871]) ).

fof(f8856,plain,
    ( spl69_767
    | ~ spl69_46
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2047,f2001,f866,f8854]) ).

fof(f8854,plain,
    ( spl69_767
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK34(X1)) = app(cons(X0,nil),sK34(X1))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_767])]) ).

fof(f2047,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK34(X1)) = app(cons(X0,nil),sK34(X1))
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f867]) ).

fof(f8852,plain,
    ( spl69_766
    | ~ spl69_45
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2046,f2001,f862,f8850]) ).

fof(f8850,plain,
    ( spl69_766
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
        | sP6(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_766])]) ).

fof(f2046,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f863]) ).

fof(f8848,plain,
    ( spl69_765
    | ~ spl69_42
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2045,f2001,f850,f8846]) ).

fof(f8846,plain,
    ( spl69_765
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK30(X1)) = app(cons(X0,nil),sK30(X1))
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_765])]) ).

fof(f2045,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK30(X1)) = app(cons(X0,nil),sK30(X1))
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f851]) ).

fof(f8844,plain,
    ( spl69_764
    | ~ spl69_41
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2044,f2001,f846,f8842]) ).

fof(f8842,plain,
    ( spl69_764
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK29(X1)) = app(cons(X0,nil),sK29(X1))
        | sP4(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_764])]) ).

fof(f2044,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,sK29(X1)) = app(cons(X0,nil),sK29(X1))
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f847]) ).

fof(f8840,plain,
    ( spl69_763
    | ~ spl69_131
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1718,f1614,f1412,f8838]) ).

fof(f8838,plain,
    ( spl69_763
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK25(X1) = tl(cons(X0,sK25(X1)))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_763])]) ).

fof(f1718,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK25(X1) = tl(cons(X0,sK25(X1)))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f1413]) ).

fof(f8836,plain,
    ( spl69_762
    | ~ spl69_126
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1717,f1614,f1392,f8834]) ).

fof(f8834,plain,
    ( spl69_762
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK22(X1) = tl(cons(X0,sK22(X1)))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_762])]) ).

fof(f1717,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK22(X1) = tl(cons(X0,sK22(X1)))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f1393]) ).

fof(f8832,plain,
    ( spl69_761
    | ~ spl69_129
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1714,f1614,f1404,f8830]) ).

fof(f8830,plain,
    ( spl69_761
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | tl(X1) = tl(cons(X0,tl(X1)))
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_761])]) ).

fof(f1714,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | tl(X1) = tl(cons(X0,tl(X1)))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f1405]) ).

fof(f8828,plain,
    ( spl69_760
    | ~ spl69_147
    | ~ spl69_159 ),
    inference(avatar_split_clause,[],[f1654,f1598,f1548,f8826]) ).

fof(f8826,plain,
    ( spl69_760
  <=> ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | ~ lt(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_760])]) ).

fof(f1548,plain,
    ( spl69_147
  <=> ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ lt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_147])]) ).

fof(f1654,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | ~ lt(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) )
    | ~ spl69_147
    | ~ spl69_159 ),
    inference(resolution,[],[f1599,f1549]) ).

fof(f1549,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ lt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_147 ),
    inference(avatar_component_clause,[],[f1548]) ).

fof(f8815,plain,
    ( spl69_759
    | ~ spl69_150
    | ~ spl69_159 ),
    inference(avatar_split_clause,[],[f1653,f1598,f1560,f8813]) ).

fof(f8813,plain,
    ( spl69_759
  <=> ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | gt(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_759])]) ).

fof(f1560,plain,
    ( spl69_150
  <=> ! [X0,X1] :
        ( gt(X0,X1)
        | ~ lt(X1,X0)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_150])]) ).

fof(f1653,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | gt(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) )
    | ~ spl69_150
    | ~ spl69_159 ),
    inference(resolution,[],[f1599,f1561]) ).

fof(f1561,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | gt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_150 ),
    inference(avatar_component_clause,[],[f1560]) ).

fof(f8811,plain,
    ( spl69_758
    | ~ spl69_153
    | ~ spl69_159 ),
    inference(avatar_split_clause,[],[f1652,f1598,f1572,f8809]) ).

fof(f8809,plain,
    ( spl69_758
  <=> ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | leq(X1,hd(X0))
        | ~ ssItem(hd(X0))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_758])]) ).

fof(f1572,plain,
    ( spl69_153
  <=> ! [X0,X1] :
        ( leq(X0,X1)
        | ~ lt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_153])]) ).

fof(f1652,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | ~ sP2(X0,X1)
        | leq(X1,hd(X0))
        | ~ ssItem(hd(X0))
        | ~ ssItem(X1) )
    | ~ spl69_153
    | ~ spl69_159 ),
    inference(resolution,[],[f1599,f1573]) ).

fof(f1573,plain,
    ( ! [X0,X1] :
        ( ~ lt(X0,X1)
        | leq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_153 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f8807,plain,
    ( spl69_757
    | ~ spl69_152
    | ~ spl69_156 ),
    inference(avatar_split_clause,[],[f1647,f1586,f1568,f8805]) ).

fof(f8805,plain,
    ( spl69_757
  <=> ! [X0,X1] :
        ( nil = X0
        | ~ sP0(X0,X1)
        | geq(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_757])]) ).

fof(f1568,plain,
    ( spl69_152
  <=> ! [X0,X1] :
        ( geq(X0,X1)
        | ~ leq(X1,X0)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_152])]) ).

fof(f1647,plain,
    ( ! [X0,X1] :
        ( nil = X0
        | ~ sP0(X0,X1)
        | geq(hd(X0),X1)
        | ~ ssItem(X1)
        | ~ ssItem(hd(X0)) )
    | ~ spl69_152
    | ~ spl69_156 ),
    inference(resolution,[],[f1587,f1569]) ).

fof(f1569,plain,
    ( ! [X0,X1] :
        ( ~ leq(X1,X0)
        | geq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_152 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f8534,plain,
    ( spl69_756
    | ~ spl69_14
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2266,f2248,f711,f8532]) ).

fof(f8532,plain,
    ( spl69_756
  <=> ! [X0] :
        ( nil = X0
        | app(tl(X0),nil) = tl(app(X0,nil))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_756])]) ).

fof(f2266,plain,
    ( ! [X0] :
        ( nil = X0
        | app(tl(X0),nil) = tl(app(X0,nil))
        | ~ ssList(X0) )
    | ~ spl69_14
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f713]) ).

fof(f8530,plain,
    ( ~ spl69_755
    | ~ spl69_269
    | spl69_747 ),
    inference(avatar_split_clause,[],[f8417,f8408,f3070,f8527]) ).

fof(f8527,plain,
    ( spl69_755
  <=> equalelemsP(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_755])]) ).

fof(f8417,plain,
    ( ~ equalelemsP(sK25(sK20))
    | ~ spl69_269
    | spl69_747 ),
    inference(forward_demodulation,[],[f8409,f3072]) ).

fof(f8409,plain,
    ( ~ equalelemsP(tl(sK20))
    | spl69_747 ),
    inference(avatar_component_clause,[],[f8408]) ).

fof(f8525,plain,
    ( spl69_754
    | ~ spl69_131
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1748,f1618,f1412,f8523]) ).

fof(f8523,plain,
    ( spl69_754
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK25(X1))) = X0
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_754])]) ).

fof(f1748,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK25(X1))) = X0
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_131
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f1413]) ).

fof(f8521,plain,
    ( spl69_753
    | ~ spl69_126
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1747,f1618,f1392,f8519]) ).

fof(f8519,plain,
    ( spl69_753
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(X1))) = X0
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_753])]) ).

fof(f1747,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(X1))) = X0
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_126
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f1393]) ).

fof(f8517,plain,
    ( spl69_752
    | ~ spl69_129
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1744,f1618,f1404,f8515]) ).

fof(f8515,plain,
    ( spl69_752
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,tl(X1))) = X0
        | nil = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_752])]) ).

fof(f1744,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,tl(X1))) = X0
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl69_129
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f1405]) ).

fof(f8513,plain,
    ( spl69_751
    | ~ spl69_136
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1742,f1618,f1434,f8511]) ).

fof(f8511,plain,
    ( spl69_751
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,app(X1,X2))) = X0
        | ~ ssList(X2)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_751])]) ).

fof(f1742,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,app(X1,X2))) = X0
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl69_136
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f1435]) ).

fof(f8509,plain,
    ( spl69_750
    | ~ spl69_135
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1741,f1618,f1430,f8507]) ).

fof(f8507,plain,
    ( spl69_750
  <=> ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(X1,X2))) = X0
        | ~ ssItem(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_750])]) ).

fof(f1741,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,cons(X1,X2))) = X0
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl69_135
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f1431]) ).

fof(f8452,plain,
    ( ~ spl69_749
    | ~ spl69_269
    | spl69_748 ),
    inference(avatar_split_clause,[],[f8416,f8412,f3070,f8449]) ).

fof(f8449,plain,
    ( spl69_749
  <=> sP4(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_749])]) ).

fof(f8416,plain,
    ( ~ sP4(sK25(sK20))
    | ~ spl69_269
    | spl69_748 ),
    inference(forward_demodulation,[],[f8414,f3072]) ).

fof(f8414,plain,
    ( ~ sP4(tl(sK20))
    | spl69_748 ),
    inference(avatar_component_clause,[],[f8412]) ).

fof(f8415,plain,
    ( spl69_747
    | ~ spl69_748
    | ~ spl69_92
    | ~ spl69_256 ),
    inference(avatar_split_clause,[],[f2840,f2803,f1198,f8412,f8408]) ).

fof(f2840,plain,
    ( ~ sP4(tl(sK20))
    | equalelemsP(tl(sK20))
    | ~ spl69_92
    | ~ spl69_256 ),
    inference(resolution,[],[f2805,f1199]) ).

fof(f8331,plain,
    ( spl69_746
    | ~ spl69_115
    | spl69_234 ),
    inference(avatar_split_clause,[],[f2560,f2492,f1296,f8328]) ).

fof(f8328,plain,
    ( spl69_746
  <=> sK31(sK21) = sK32(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_746])]) ).

fof(f2492,plain,
    ( spl69_234
  <=> sP6(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_234])]) ).

fof(f2560,plain,
    ( sK31(sK21) = sK32(sK21)
    | ~ spl69_115
    | spl69_234 ),
    inference(resolution,[],[f2494,f1297]) ).

fof(f2494,plain,
    ( ~ sP6(sK21)
    | spl69_234 ),
    inference(avatar_component_clause,[],[f2492]) ).

fof(f8201,plain,
    ( spl69_745
    | ~ spl69_115
    | spl69_217 ),
    inference(avatar_split_clause,[],[f2466,f2322,f1296,f8198]) ).

fof(f8198,plain,
    ( spl69_745
  <=> sK31(sK20) = sK32(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_745])]) ).

fof(f2466,plain,
    ( sK31(sK20) = sK32(sK20)
    | ~ spl69_115
    | spl69_217 ),
    inference(resolution,[],[f2324,f1297]) ).

fof(f8114,plain,
    ( spl69_744
    | ~ spl69_37
    | ~ spl69_228 ),
    inference(avatar_split_clause,[],[f2483,f2443,f830,f8112]) ).

fof(f830,plain,
    ( spl69_37
  <=> ! [X0] :
        ( segmentP(X0,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).

fof(f2483,plain,
    ( ! [X0] :
        ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
        | ~ ssList(X0) )
    | ~ spl69_37
    | ~ spl69_228 ),
    inference(duplicate_literal_removal,[],[f2482]) ).

fof(f2482,plain,
    ( ! [X0] :
        ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_37
    | ~ spl69_228 ),
    inference(resolution,[],[f2444,f831]) ).

fof(f831,plain,
    ( ! [X0] :
        ( segmentP(X0,X0)
        | ~ ssList(X0) )
    | ~ spl69_37 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f8110,plain,
    ( spl69_743
    | ~ spl69_74
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1710,f1606,f980,f8108]) ).

fof(f8108,plain,
    ( spl69_743
  <=> ! [X0] :
        ( nil = sK60(X0)
        | tl(sK60(X0)) = sK25(sK60(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_743])]) ).

fof(f1710,plain,
    ( ! [X0] :
        ( nil = sK60(X0)
        | tl(sK60(X0)) = sK25(sK60(X0))
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f981]) ).

fof(f8106,plain,
    ( spl69_742
    | ~ spl69_73
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1709,f1606,f976,f8104]) ).

fof(f8104,plain,
    ( spl69_742
  <=> ! [X0] :
        ( nil = sK59(X0)
        | tl(sK59(X0)) = sK25(sK59(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_742])]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( nil = sK59(X0)
        | tl(sK59(X0)) = sK25(sK59(X0))
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f977]) ).

fof(f8102,plain,
    ( spl69_741
    | ~ spl69_72
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1708,f1606,f972,f8100]) ).

fof(f8100,plain,
    ( spl69_741
  <=> ! [X0] :
        ( nil = sK58(X0)
        | tl(sK58(X0)) = sK25(sK58(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_741])]) ).

fof(f1708,plain,
    ( ! [X0] :
        ( nil = sK58(X0)
        | tl(sK58(X0)) = sK25(sK58(X0))
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f973]) ).

fof(f8098,plain,
    ( spl69_740
    | ~ spl69_69
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1707,f1606,f960,f8096]) ).

fof(f8096,plain,
    ( spl69_740
  <=> ! [X0] :
        ( nil = sK55(X0)
        | tl(sK55(X0)) = sK25(sK55(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_740])]) ).

fof(f1707,plain,
    ( ! [X0] :
        ( nil = sK55(X0)
        | tl(sK55(X0)) = sK25(sK55(X0))
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f961]) ).

fof(f8094,plain,
    ( spl69_739
    | ~ spl69_68
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1706,f1606,f956,f8092]) ).

fof(f8092,plain,
    ( spl69_739
  <=> ! [X0] :
        ( nil = sK54(X0)
        | tl(sK54(X0)) = sK25(sK54(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_739])]) ).

fof(f1706,plain,
    ( ! [X0] :
        ( nil = sK54(X0)
        | tl(sK54(X0)) = sK25(sK54(X0))
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f957]) ).

fof(f8090,plain,
    ( spl69_738
    | ~ spl69_67
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1705,f1606,f952,f8088]) ).

fof(f8088,plain,
    ( spl69_738
  <=> ! [X0] :
        ( nil = sK53(X0)
        | tl(sK53(X0)) = sK25(sK53(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_738])]) ).

fof(f1705,plain,
    ( ! [X0] :
        ( nil = sK53(X0)
        | tl(sK53(X0)) = sK25(sK53(X0))
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f953]) ).

fof(f8086,plain,
    ( spl69_737
    | ~ spl69_63
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1704,f1606,f935,f8084]) ).

fof(f8084,plain,
    ( spl69_737
  <=> ! [X0] :
        ( nil = sK50(X0)
        | tl(sK50(X0)) = sK25(sK50(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_737])]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( nil = sK50(X0)
        | tl(sK50(X0)) = sK25(sK50(X0))
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f936]) ).

fof(f8080,plain,
    ( spl69_736
    | ~ spl69_62
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1703,f1606,f931,f8078]) ).

fof(f8078,plain,
    ( spl69_736
  <=> ! [X0] :
        ( nil = sK49(X0)
        | tl(sK49(X0)) = sK25(sK49(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_736])]) ).

fof(f1703,plain,
    ( ! [X0] :
        ( nil = sK49(X0)
        | tl(sK49(X0)) = sK25(sK49(X0))
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f932]) ).

fof(f8076,plain,
    ( spl69_735
    | ~ spl69_61
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1702,f1606,f927,f8074]) ).

fof(f8074,plain,
    ( spl69_735
  <=> ! [X0] :
        ( nil = sK48(X0)
        | tl(sK48(X0)) = sK25(sK48(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_735])]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( nil = sK48(X0)
        | tl(sK48(X0)) = sK25(sK48(X0))
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f928]) ).

fof(f8072,plain,
    ( spl69_734
    | ~ spl69_58
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1701,f1606,f915,f8070]) ).

fof(f8070,plain,
    ( spl69_734
  <=> ! [X0] :
        ( nil = sK45(X0)
        | tl(sK45(X0)) = sK25(sK45(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_734])]) ).

fof(f1701,plain,
    ( ! [X0] :
        ( nil = sK45(X0)
        | tl(sK45(X0)) = sK25(sK45(X0))
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f916]) ).

fof(f8068,plain,
    ( spl69_733
    | ~ spl69_57
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1700,f1606,f911,f8066]) ).

fof(f8066,plain,
    ( spl69_733
  <=> ! [X0] :
        ( nil = sK44(X0)
        | tl(sK44(X0)) = sK25(sK44(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_733])]) ).

fof(f1700,plain,
    ( ! [X0] :
        ( nil = sK44(X0)
        | tl(sK44(X0)) = sK25(sK44(X0))
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f912]) ).

fof(f8064,plain,
    ( spl69_732
    | ~ spl69_56
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1699,f1606,f907,f8062]) ).

fof(f8062,plain,
    ( spl69_732
  <=> ! [X0] :
        ( nil = sK43(X0)
        | tl(sK43(X0)) = sK25(sK43(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_732])]) ).

fof(f1699,plain,
    ( ! [X0] :
        ( nil = sK43(X0)
        | tl(sK43(X0)) = sK25(sK43(X0))
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f908]) ).

fof(f8060,plain,
    ( spl69_731
    | ~ spl69_52
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1698,f1606,f890,f8058]) ).

fof(f8058,plain,
    ( spl69_731
  <=> ! [X0] :
        ( nil = sK40(X0)
        | tl(sK40(X0)) = sK25(sK40(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_731])]) ).

fof(f1698,plain,
    ( ! [X0] :
        ( nil = sK40(X0)
        | tl(sK40(X0)) = sK25(sK40(X0))
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f891]) ).

fof(f8056,plain,
    ( spl69_730
    | ~ spl69_51
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1697,f1606,f886,f8054]) ).

fof(f8054,plain,
    ( spl69_730
  <=> ! [X0] :
        ( nil = sK39(X0)
        | tl(sK39(X0)) = sK25(sK39(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_730])]) ).

fof(f1697,plain,
    ( ! [X0] :
        ( nil = sK39(X0)
        | tl(sK39(X0)) = sK25(sK39(X0))
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f887]) ).

fof(f8052,plain,
    ( spl69_729
    | ~ spl69_50
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1696,f1606,f882,f8050]) ).

fof(f8050,plain,
    ( spl69_729
  <=> ! [X0] :
        ( nil = sK38(X0)
        | tl(sK38(X0)) = sK25(sK38(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_729])]) ).

fof(f1696,plain,
    ( ! [X0] :
        ( nil = sK38(X0)
        | tl(sK38(X0)) = sK25(sK38(X0))
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f883]) ).

fof(f8048,plain,
    ( spl69_728
    | ~ spl69_47
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1695,f1606,f870,f8046]) ).

fof(f8046,plain,
    ( spl69_728
  <=> ! [X0] :
        ( nil = sK35(X0)
        | tl(sK35(X0)) = sK25(sK35(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_728])]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( nil = sK35(X0)
        | tl(sK35(X0)) = sK25(sK35(X0))
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f871]) ).

fof(f8044,plain,
    ( spl69_727
    | ~ spl69_46
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1694,f1606,f866,f8042]) ).

fof(f8042,plain,
    ( spl69_727
  <=> ! [X0] :
        ( nil = sK34(X0)
        | tl(sK34(X0)) = sK25(sK34(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_727])]) ).

fof(f1694,plain,
    ( ! [X0] :
        ( nil = sK34(X0)
        | tl(sK34(X0)) = sK25(sK34(X0))
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f867]) ).

fof(f8038,plain,
    ( spl69_726
    | ~ spl69_45
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1693,f1606,f862,f8036]) ).

fof(f8036,plain,
    ( spl69_726
  <=> ! [X0] :
        ( nil = sK33(X0)
        | tl(sK33(X0)) = sK25(sK33(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_726])]) ).

fof(f1693,plain,
    ( ! [X0] :
        ( nil = sK33(X0)
        | tl(sK33(X0)) = sK25(sK33(X0))
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f863]) ).

fof(f8034,plain,
    ( spl69_725
    | ~ spl69_42
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1692,f1606,f850,f8032]) ).

fof(f8032,plain,
    ( spl69_725
  <=> ! [X0] :
        ( nil = sK30(X0)
        | tl(sK30(X0)) = sK25(sK30(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_725])]) ).

fof(f1692,plain,
    ( ! [X0] :
        ( nil = sK30(X0)
        | tl(sK30(X0)) = sK25(sK30(X0))
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f851]) ).

fof(f8030,plain,
    ( spl69_724
    | ~ spl69_41
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1691,f1606,f846,f8028]) ).

fof(f8028,plain,
    ( spl69_724
  <=> ! [X0] :
        ( nil = sK29(X0)
        | tl(sK29(X0)) = sK25(sK29(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_724])]) ).

fof(f1691,plain,
    ( ! [X0] :
        ( nil = sK29(X0)
        | tl(sK29(X0)) = sK25(sK29(X0))
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f847]) ).

fof(f8026,plain,
    ( spl69_723
    | ~ spl69_74
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1682,f1602,f980,f8024]) ).

fof(f8024,plain,
    ( spl69_723
  <=> ! [X0] :
        ( nil = sK60(X0)
        | hd(sK60(X0)) = sK24(sK60(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_723])]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( nil = sK60(X0)
        | hd(sK60(X0)) = sK24(sK60(X0))
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f981]) ).

fof(f8022,plain,
    ( spl69_722
    | ~ spl69_73
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1681,f1602,f976,f8020]) ).

fof(f8020,plain,
    ( spl69_722
  <=> ! [X0] :
        ( nil = sK59(X0)
        | hd(sK59(X0)) = sK24(sK59(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_722])]) ).

fof(f1681,plain,
    ( ! [X0] :
        ( nil = sK59(X0)
        | hd(sK59(X0)) = sK24(sK59(X0))
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f977]) ).

fof(f8018,plain,
    ( spl69_721
    | ~ spl69_72
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1680,f1602,f972,f8016]) ).

fof(f8016,plain,
    ( spl69_721
  <=> ! [X0] :
        ( nil = sK58(X0)
        | hd(sK58(X0)) = sK24(sK58(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_721])]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( nil = sK58(X0)
        | hd(sK58(X0)) = sK24(sK58(X0))
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f973]) ).

fof(f8014,plain,
    ( spl69_720
    | ~ spl69_69
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1679,f1602,f960,f8012]) ).

fof(f8012,plain,
    ( spl69_720
  <=> ! [X0] :
        ( nil = sK55(X0)
        | hd(sK55(X0)) = sK24(sK55(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_720])]) ).

fof(f1679,plain,
    ( ! [X0] :
        ( nil = sK55(X0)
        | hd(sK55(X0)) = sK24(sK55(X0))
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f961]) ).

fof(f8010,plain,
    ( spl69_719
    | ~ spl69_68
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1678,f1602,f956,f8008]) ).

fof(f8008,plain,
    ( spl69_719
  <=> ! [X0] :
        ( nil = sK54(X0)
        | hd(sK54(X0)) = sK24(sK54(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_719])]) ).

fof(f1678,plain,
    ( ! [X0] :
        ( nil = sK54(X0)
        | hd(sK54(X0)) = sK24(sK54(X0))
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f957]) ).

fof(f8006,plain,
    ( spl69_718
    | ~ spl69_67
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1677,f1602,f952,f8004]) ).

fof(f8004,plain,
    ( spl69_718
  <=> ! [X0] :
        ( nil = sK53(X0)
        | hd(sK53(X0)) = sK24(sK53(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_718])]) ).

fof(f1677,plain,
    ( ! [X0] :
        ( nil = sK53(X0)
        | hd(sK53(X0)) = sK24(sK53(X0))
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f953]) ).

fof(f8002,plain,
    ( spl69_717
    | ~ spl69_63
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1676,f1602,f935,f8000]) ).

fof(f8000,plain,
    ( spl69_717
  <=> ! [X0] :
        ( nil = sK50(X0)
        | hd(sK50(X0)) = sK24(sK50(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_717])]) ).

fof(f1676,plain,
    ( ! [X0] :
        ( nil = sK50(X0)
        | hd(sK50(X0)) = sK24(sK50(X0))
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f936]) ).

fof(f7996,plain,
    ( spl69_716
    | ~ spl69_62
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1675,f1602,f931,f7994]) ).

fof(f7994,plain,
    ( spl69_716
  <=> ! [X0] :
        ( nil = sK49(X0)
        | hd(sK49(X0)) = sK24(sK49(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_716])]) ).

fof(f1675,plain,
    ( ! [X0] :
        ( nil = sK49(X0)
        | hd(sK49(X0)) = sK24(sK49(X0))
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f932]) ).

fof(f7992,plain,
    ( spl69_715
    | ~ spl69_61
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1674,f1602,f927,f7990]) ).

fof(f7990,plain,
    ( spl69_715
  <=> ! [X0] :
        ( nil = sK48(X0)
        | hd(sK48(X0)) = sK24(sK48(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_715])]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( nil = sK48(X0)
        | hd(sK48(X0)) = sK24(sK48(X0))
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f928]) ).

fof(f7988,plain,
    ( spl69_714
    | ~ spl69_58
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1673,f1602,f915,f7986]) ).

fof(f7986,plain,
    ( spl69_714
  <=> ! [X0] :
        ( nil = sK45(X0)
        | hd(sK45(X0)) = sK24(sK45(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_714])]) ).

fof(f1673,plain,
    ( ! [X0] :
        ( nil = sK45(X0)
        | hd(sK45(X0)) = sK24(sK45(X0))
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f916]) ).

fof(f7984,plain,
    ( spl69_713
    | ~ spl69_57
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1672,f1602,f911,f7982]) ).

fof(f7982,plain,
    ( spl69_713
  <=> ! [X0] :
        ( nil = sK44(X0)
        | hd(sK44(X0)) = sK24(sK44(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_713])]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( nil = sK44(X0)
        | hd(sK44(X0)) = sK24(sK44(X0))
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f912]) ).

fof(f7980,plain,
    ( spl69_712
    | ~ spl69_56
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1671,f1602,f907,f7978]) ).

fof(f7978,plain,
    ( spl69_712
  <=> ! [X0] :
        ( nil = sK43(X0)
        | hd(sK43(X0)) = sK24(sK43(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_712])]) ).

fof(f1671,plain,
    ( ! [X0] :
        ( nil = sK43(X0)
        | hd(sK43(X0)) = sK24(sK43(X0))
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f908]) ).

fof(f7976,plain,
    ( spl69_711
    | ~ spl69_52
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1670,f1602,f890,f7974]) ).

fof(f7974,plain,
    ( spl69_711
  <=> ! [X0] :
        ( nil = sK40(X0)
        | hd(sK40(X0)) = sK24(sK40(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_711])]) ).

fof(f1670,plain,
    ( ! [X0] :
        ( nil = sK40(X0)
        | hd(sK40(X0)) = sK24(sK40(X0))
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f891]) ).

fof(f7972,plain,
    ( spl69_710
    | ~ spl69_51
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1669,f1602,f886,f7970]) ).

fof(f7970,plain,
    ( spl69_710
  <=> ! [X0] :
        ( nil = sK39(X0)
        | hd(sK39(X0)) = sK24(sK39(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_710])]) ).

fof(f1669,plain,
    ( ! [X0] :
        ( nil = sK39(X0)
        | hd(sK39(X0)) = sK24(sK39(X0))
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f887]) ).

fof(f7968,plain,
    ( spl69_709
    | ~ spl69_50
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1668,f1602,f882,f7966]) ).

fof(f7966,plain,
    ( spl69_709
  <=> ! [X0] :
        ( nil = sK38(X0)
        | hd(sK38(X0)) = sK24(sK38(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_709])]) ).

fof(f1668,plain,
    ( ! [X0] :
        ( nil = sK38(X0)
        | hd(sK38(X0)) = sK24(sK38(X0))
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f883]) ).

fof(f7964,plain,
    ( spl69_708
    | ~ spl69_47
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1667,f1602,f870,f7962]) ).

fof(f7962,plain,
    ( spl69_708
  <=> ! [X0] :
        ( nil = sK35(X0)
        | hd(sK35(X0)) = sK24(sK35(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_708])]) ).

fof(f1667,plain,
    ( ! [X0] :
        ( nil = sK35(X0)
        | hd(sK35(X0)) = sK24(sK35(X0))
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f871]) ).

fof(f7960,plain,
    ( spl69_707
    | ~ spl69_46
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1666,f1602,f866,f7958]) ).

fof(f7958,plain,
    ( spl69_707
  <=> ! [X0] :
        ( nil = sK34(X0)
        | hd(sK34(X0)) = sK24(sK34(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_707])]) ).

fof(f1666,plain,
    ( ! [X0] :
        ( nil = sK34(X0)
        | hd(sK34(X0)) = sK24(sK34(X0))
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f867]) ).

fof(f7954,plain,
    ( spl69_706
    | ~ spl69_45
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1665,f1602,f862,f7952]) ).

fof(f7952,plain,
    ( spl69_706
  <=> ! [X0] :
        ( nil = sK33(X0)
        | hd(sK33(X0)) = sK24(sK33(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_706])]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( nil = sK33(X0)
        | hd(sK33(X0)) = sK24(sK33(X0))
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f863]) ).

fof(f7950,plain,
    ( spl69_705
    | ~ spl69_42
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1664,f1602,f850,f7948]) ).

fof(f7948,plain,
    ( spl69_705
  <=> ! [X0] :
        ( nil = sK30(X0)
        | hd(sK30(X0)) = sK24(sK30(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_705])]) ).

fof(f1664,plain,
    ( ! [X0] :
        ( nil = sK30(X0)
        | hd(sK30(X0)) = sK24(sK30(X0))
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f851]) ).

fof(f7946,plain,
    ( spl69_704
    | ~ spl69_41
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1663,f1602,f846,f7944]) ).

fof(f7944,plain,
    ( spl69_704
  <=> ! [X0] :
        ( nil = sK29(X0)
        | hd(sK29(X0)) = sK24(sK29(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_704])]) ).

fof(f1663,plain,
    ( ! [X0] :
        ( nil = sK29(X0)
        | hd(sK29(X0)) = sK24(sK29(X0))
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f847]) ).

fof(f7942,plain,
    ( spl69_703
    | ~ spl69_121
    | ~ spl69_152 ),
    inference(avatar_split_clause,[],[f1640,f1568,f1322,f7940]) ).

fof(f7940,plain,
    ( spl69_703
  <=> ! [X0] :
        ( geq(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_703])]) ).

fof(f1640,plain,
    ( ! [X0] :
        ( geq(sK46(X0),sK47(X0))
        | ~ ssItem(sK47(X0))
        | ~ ssItem(sK46(X0))
        | sP12(X0) )
    | ~ spl69_121
    | ~ spl69_152 ),
    inference(resolution,[],[f1569,f1323]) ).

fof(f7938,plain,
    ( spl69_702
    | ~ spl69_120
    | ~ spl69_152 ),
    inference(avatar_split_clause,[],[f1639,f1568,f1318,f7936]) ).

fof(f7936,plain,
    ( spl69_702
  <=> ! [X0] :
        ( geq(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_702])]) ).

fof(f1639,plain,
    ( ! [X0] :
        ( geq(sK47(X0),sK46(X0))
        | ~ ssItem(sK46(X0))
        | ~ ssItem(sK47(X0))
        | sP12(X0) )
    | ~ spl69_120
    | ~ spl69_152 ),
    inference(resolution,[],[f1569,f1319]) ).

fof(f7934,plain,
    ( spl69_701
    | ~ spl69_112
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1497,f1434,f1284,f7932]) ).

fof(f1497,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | app(X1,X0) = app(nil,app(X1,X0)) )
    | ~ spl69_112
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f1285]) ).

fof(f7930,plain,
    ( spl69_700
    | ~ spl69_111
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1496,f1434,f1280,f7928]) ).

fof(f1496,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | app(X1,X0) = app(app(X1,X0),nil) )
    | ~ spl69_111
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f1281]) ).

fof(f7926,plain,
    ( spl69_699
    | ~ spl69_112
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1488,f1430,f1284,f7924]) ).

fof(f1488,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | cons(X0,X1) = app(nil,cons(X0,X1)) )
    | ~ spl69_112
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f1285]) ).

fof(f7922,plain,
    ( spl69_698
    | ~ spl69_111
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1487,f1430,f1280,f7920]) ).

fof(f7920,plain,
    ( spl69_698
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | cons(X0,X1) = app(cons(X0,X1),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_698])]) ).

fof(f1487,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | cons(X0,X1) = app(cons(X0,X1),nil) )
    | ~ spl69_111
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f1281]) ).

fof(f7138,plain,
    ( spl69_697
    | ~ spl69_14
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2120,f2099,f711,f7136]) ).

fof(f7136,plain,
    ( spl69_697
  <=> ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,nil))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_697])]) ).

fof(f2120,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,nil))
        | ~ ssList(X0) )
    | ~ spl69_14
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f713]) ).

fof(f7134,plain,
    ( spl69_696
    | ~ spl69_31
    | ~ spl69_173 ),
    inference(avatar_split_clause,[],[f1907,f1881,f805,f7132]) ).

fof(f7132,plain,
    ( spl69_696
  <=> ! [X0] :
        ( sP0(X0,hd(X0))
        | ~ totalorderedP(X0)
        | nil = X0
        | ~ ssItem(hd(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_696])]) ).

fof(f805,plain,
    ( spl69_31
  <=> ! [X0] :
        ( leq(X0,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).

fof(f1881,plain,
    ( spl69_173
  <=> ! [X0,X1] :
        ( sP0(X0,X1)
        | ~ leq(X1,hd(X0))
        | ~ totalorderedP(X0)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_173])]) ).

fof(f1907,plain,
    ( ! [X0] :
        ( sP0(X0,hd(X0))
        | ~ totalorderedP(X0)
        | nil = X0
        | ~ ssItem(hd(X0)) )
    | ~ spl69_31
    | ~ spl69_173 ),
    inference(resolution,[],[f1882,f806]) ).

fof(f806,plain,
    ( ! [X0] :
        ( leq(X0,X0)
        | ~ ssItem(X0) )
    | ~ spl69_31 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f1882,plain,
    ( ! [X0,X1] :
        ( ~ leq(X1,hd(X0))
        | sP0(X0,X1)
        | ~ totalorderedP(X0)
        | nil = X0 )
    | ~ spl69_173 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f7130,plain,
    ( spl69_695
    | ~ spl69_74
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1738,f1614,f980,f7128]) ).

fof(f1738,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK60(X1) = tl(cons(X0,sK60(X1)))
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f981]) ).

fof(f7126,plain,
    ( spl69_694
    | ~ spl69_268
    | ~ spl69_646 ),
    inference(avatar_split_clause,[],[f6725,f6721,f3058,f7123]) ).

fof(f7123,plain,
    ( spl69_694
  <=> sP17(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_694])]) ).

fof(f6721,plain,
    ( spl69_646
  <=> sP17(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_646])]) ).

fof(f6725,plain,
    ( sP17(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_646 ),
    inference(forward_demodulation,[],[f6723,f3060]) ).

fof(f6723,plain,
    ( sP17(cons(hd(sK20),nil))
    | ~ spl69_646 ),
    inference(avatar_component_clause,[],[f6721]) ).

fof(f7121,plain,
    ( spl69_693
    | ~ spl69_73
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1737,f1614,f976,f7119]) ).

fof(f1737,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK59(X1) = tl(cons(X0,sK59(X1)))
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f977]) ).

fof(f7117,plain,
    ( spl69_692
    | ~ spl69_72
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1736,f1614,f972,f7115]) ).

fof(f1736,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK58(X1) = tl(cons(X0,sK58(X1)))
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f973]) ).

fof(f7113,plain,
    ( spl69_691
    | ~ spl69_69
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1735,f1614,f960,f7111]) ).

fof(f1735,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK55(X1) = tl(cons(X0,sK55(X1)))
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f961]) ).

fof(f7109,plain,
    ( spl69_690
    | ~ spl69_68
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1734,f1614,f956,f7107]) ).

fof(f1734,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK54(X1) = tl(cons(X0,sK54(X1)))
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f957]) ).

fof(f7105,plain,
    ( spl69_689
    | ~ spl69_67
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1733,f1614,f952,f7103]) ).

fof(f1733,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK53(X1) = tl(cons(X0,sK53(X1)))
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f953]) ).

fof(f7101,plain,
    ( spl69_688
    | ~ spl69_63
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1732,f1614,f935,f7099]) ).

fof(f1732,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK50(X1) = tl(cons(X0,sK50(X1)))
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f936]) ).

fof(f7097,plain,
    ( spl69_687
    | ~ spl69_62
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1731,f1614,f931,f7095]) ).

fof(f1731,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK49(X1) = tl(cons(X0,sK49(X1)))
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f932]) ).

fof(f7093,plain,
    ( spl69_686
    | ~ spl69_61
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1730,f1614,f927,f7091]) ).

fof(f1730,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK48(X1) = tl(cons(X0,sK48(X1)))
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f928]) ).

fof(f7089,plain,
    ( spl69_685
    | ~ spl69_58
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1729,f1614,f915,f7087]) ).

fof(f1729,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK45(X1) = tl(cons(X0,sK45(X1)))
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f916]) ).

fof(f7085,plain,
    ( spl69_684
    | ~ spl69_57
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1728,f1614,f911,f7083]) ).

fof(f1728,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK44(X1) = tl(cons(X0,sK44(X1)))
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f912]) ).

fof(f7081,plain,
    ( spl69_683
    | ~ spl69_268
    | ~ spl69_645 ),
    inference(avatar_split_clause,[],[f6699,f6695,f3058,f7078]) ).

fof(f7078,plain,
    ( spl69_683
  <=> sP15(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_683])]) ).

fof(f6695,plain,
    ( spl69_645
  <=> sP15(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_645])]) ).

fof(f6699,plain,
    ( sP15(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_645 ),
    inference(forward_demodulation,[],[f6697,f3060]) ).

fof(f6697,plain,
    ( sP15(cons(hd(sK20),nil))
    | ~ spl69_645 ),
    inference(avatar_component_clause,[],[f6695]) ).

fof(f7076,plain,
    ( spl69_682
    | ~ spl69_56
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1727,f1614,f907,f7074]) ).

fof(f1727,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK43(X1) = tl(cons(X0,sK43(X1)))
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f908]) ).

fof(f7072,plain,
    ( spl69_681
    | ~ spl69_52
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1726,f1614,f890,f7070]) ).

fof(f1726,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK40(X1) = tl(cons(X0,sK40(X1)))
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f891]) ).

fof(f7068,plain,
    ( spl69_680
    | ~ spl69_51
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1725,f1614,f886,f7066]) ).

fof(f1725,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK39(X1) = tl(cons(X0,sK39(X1)))
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f887]) ).

fof(f7064,plain,
    ( spl69_679
    | ~ spl69_50
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1724,f1614,f882,f7062]) ).

fof(f1724,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK38(X1) = tl(cons(X0,sK38(X1)))
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f883]) ).

fof(f7060,plain,
    ( spl69_678
    | ~ spl69_47
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1723,f1614,f870,f7058]) ).

fof(f1723,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK35(X1) = tl(cons(X0,sK35(X1)))
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f871]) ).

fof(f7056,plain,
    ( spl69_677
    | ~ spl69_46
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1722,f1614,f866,f7054]) ).

fof(f1722,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK34(X1) = tl(cons(X0,sK34(X1)))
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f867]) ).

fof(f7052,plain,
    ( spl69_676
    | ~ spl69_45
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1721,f1614,f862,f7050]) ).

fof(f1721,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK33(X1) = tl(cons(X0,sK33(X1)))
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f863]) ).

fof(f7048,plain,
    ( spl69_675
    | ~ spl69_42
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1720,f1614,f850,f7046]) ).

fof(f1720,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK30(X1) = tl(cons(X0,sK30(X1)))
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f851]) ).

fof(f7044,plain,
    ( spl69_674
    | ~ spl69_41
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1719,f1614,f846,f7042]) ).

fof(f1719,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | sK29(X1) = tl(cons(X0,sK29(X1)))
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f847]) ).

fof(f7040,plain,
    ( spl69_673
    | ~ spl69_112
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1467,f1412,f1284,f7038]) ).

fof(f7038,plain,
    ( spl69_673
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK25(X0) = app(nil,sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_673])]) ).

fof(f1467,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK25(X0) = app(nil,sK25(X0)) )
    | ~ spl69_112
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f1285]) ).

fof(f7036,plain,
    ( spl69_672
    | ~ spl69_268
    | ~ spl69_644 ),
    inference(avatar_split_clause,[],[f6673,f6669,f3058,f7033]) ).

fof(f7033,plain,
    ( spl69_672
  <=> sP13(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_672])]) ).

fof(f6669,plain,
    ( spl69_644
  <=> sP13(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_644])]) ).

fof(f6673,plain,
    ( sP13(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_644 ),
    inference(forward_demodulation,[],[f6671,f3060]) ).

fof(f6671,plain,
    ( sP13(cons(hd(sK20),nil))
    | ~ spl69_644 ),
    inference(avatar_component_clause,[],[f6669]) ).

fof(f7031,plain,
    ( spl69_671
    | ~ spl69_111
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1466,f1412,f1280,f7029]) ).

fof(f7029,plain,
    ( spl69_671
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK25(X0) = app(sK25(X0),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_671])]) ).

fof(f1466,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK25(X0) = app(sK25(X0),nil) )
    | ~ spl69_111
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f1281]) ).

fof(f7027,plain,
    ( spl69_670
    | ~ spl69_112
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1458,f1404,f1284,f7025]) ).

fof(f7025,plain,
    ( spl69_670
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | tl(X0) = app(nil,tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_670])]) ).

fof(f1458,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | tl(X0) = app(nil,tl(X0)) )
    | ~ spl69_112
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f1285]) ).

fof(f7023,plain,
    ( spl69_669
    | ~ spl69_111
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1457,f1404,f1280,f7021]) ).

fof(f7021,plain,
    ( spl69_669
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | tl(X0) = app(tl(X0),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_669])]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | tl(X0) = app(tl(X0),nil) )
    | ~ spl69_111
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f1281]) ).

fof(f7019,plain,
    ( spl69_668
    | ~ spl69_112
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1447,f1392,f1284,f7017]) ).

fof(f7017,plain,
    ( spl69_668
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK22(X0) = app(nil,sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_668])]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK22(X0) = app(nil,sK22(X0)) )
    | ~ spl69_112
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f1285]) ).

fof(f7015,plain,
    ( spl69_667
    | ~ spl69_111
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1446,f1392,f1280,f7013]) ).

fof(f7013,plain,
    ( spl69_667
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK22(X0) = app(sK22(X0),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_667])]) ).

fof(f1446,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sK22(X0) = app(sK22(X0),nil) )
    | ~ spl69_111
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f1281]) ).

fof(f6981,plain,
    ( spl69_666
    | ~ spl69_268
    | ~ spl69_643 ),
    inference(avatar_split_clause,[],[f6458,f6454,f3058,f6978]) ).

fof(f6978,plain,
    ( spl69_666
  <=> sP11(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_666])]) ).

fof(f6454,plain,
    ( spl69_643
  <=> sP11(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_643])]) ).

fof(f6458,plain,
    ( sP11(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_643 ),
    inference(forward_demodulation,[],[f6456,f3060]) ).

fof(f6456,plain,
    ( sP11(cons(hd(sK20),nil))
    | ~ spl69_643 ),
    inference(avatar_component_clause,[],[f6454]) ).

fof(f6950,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_665
    | ~ spl69_243
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3135,f3124,f2554,f6948,f711,f3555,f3444]) ).

fof(f6948,plain,
    ( spl69_665
  <=> ! [X0,X1] :
        ( ~ sP12(app(sK20,cons(X0,X1)))
        | ~ leq(X0,sK24(sK20))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ leq(sK24(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_665])]) ).

fof(f3135,plain,
    ( ! [X0,X1] :
        ( ~ sP12(app(sK20,cons(X0,X1)))
        | ~ leq(sK24(sK20),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0)
        | ~ ssItem(sK24(sK20))
        | ~ leq(X0,sK24(sK20)) )
    | ~ spl69_243
    | ~ spl69_275 ),
    inference(superposition,[],[f2555,f3126]) ).

fof(f6934,plain,
    ( spl69_664
    | ~ spl69_268
    | ~ spl69_642 ),
    inference(avatar_split_clause,[],[f6222,f6218,f3058,f6931]) ).

fof(f6931,plain,
    ( spl69_664
  <=> sP9(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_664])]) ).

fof(f6218,plain,
    ( spl69_642
  <=> sP9(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_642])]) ).

fof(f6222,plain,
    ( sP9(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_642 ),
    inference(forward_demodulation,[],[f6220,f3060]) ).

fof(f6220,plain,
    ( sP9(cons(hd(sK20),nil))
    | ~ spl69_642 ),
    inference(avatar_component_clause,[],[f6218]) ).

fof(f6929,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_663
    | ~ spl69_242
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3134,f3124,f2550,f6927,f711,f3555,f3444]) ).

fof(f6927,plain,
    ( spl69_663
  <=> ! [X0,X1] :
        ( ~ sP10(app(sK20,cons(X0,X1)))
        | lt(X0,sK24(sK20))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | lt(sK24(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_663])]) ).

fof(f3134,plain,
    ( ! [X0,X1] :
        ( ~ sP10(app(sK20,cons(X0,X1)))
        | lt(sK24(sK20),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0)
        | ~ ssItem(sK24(sK20))
        | lt(X0,sK24(sK20)) )
    | ~ spl69_242
    | ~ spl69_275 ),
    inference(superposition,[],[f2551,f3126]) ).

fof(f6913,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_662
    | ~ spl69_241
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3133,f3124,f2546,f6911,f711,f3555,f3444]) ).

fof(f6911,plain,
    ( spl69_662
  <=> ! [X0,X1] :
        ( ~ sP8(app(sK20,cons(X0,X1)))
        | leq(X0,sK24(sK20))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(sK24(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_662])]) ).

fof(f3133,plain,
    ( ! [X0,X1] :
        ( ~ sP8(app(sK20,cons(X0,X1)))
        | leq(sK24(sK20),X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0)
        | ~ ssItem(sK24(sK20))
        | leq(X0,sK24(sK20)) )
    | ~ spl69_241
    | ~ spl69_275 ),
    inference(superposition,[],[f2547,f3126]) ).

fof(f6906,plain,
    ( ~ spl69_310
    | ~ spl69_305
    | spl69_661
    | ~ spl69_231
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3150,f3124,f2455,f6904,f3555,f3670]) ).

fof(f6904,plain,
    ( spl69_661
  <=> ! [X0,X1] :
        ( segmentP(app(sK20,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ segmentP(cons(sK24(sK20),nil),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_661])]) ).

fof(f3150,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sK20,X0),X1)
        | ~ segmentP(cons(sK24(sK20),nil),X1)
        | ~ ssList(X0)
        | ~ ssList(sK25(sK20))
        | ~ ssList(X1)
        | ~ ssList(cons(sK24(sK20),nil)) )
    | ~ spl69_231
    | ~ spl69_275 ),
    inference(superposition,[],[f2456,f3126]) ).

fof(f6896,plain,
    ( ~ spl69_305
    | ~ spl69_310
    | spl69_660
    | ~ spl69_214
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3149,f3124,f2310,f6894,f3670,f3555]) ).

fof(f6894,plain,
    ( spl69_660
  <=> ! [X0] :
        ( ~ memberP(sK20,X0)
        | ~ ssItem(X0)
        | memberP(cons(sK24(sK20),nil),X0)
        | memberP(sK25(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_660])]) ).

fof(f3149,plain,
    ( ! [X0] :
        ( ~ memberP(sK20,X0)
        | memberP(sK25(sK20),X0)
        | memberP(cons(sK24(sK20),nil),X0)
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_214
    | ~ spl69_275 ),
    inference(superposition,[],[f2311,f3126]) ).

fof(f6885,plain,
    ( ~ spl69_310
    | ~ spl69_305
    | spl69_659
    | ~ spl69_237
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3151,f3124,f2515,f6883,f3555,f3670]) ).

fof(f3151,plain,
    ( ! [X0] :
        ( segmentP(app(sK20,X0),cons(sK24(sK20),nil))
        | ~ ssList(X0)
        | ~ ssList(sK25(sK20))
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(app(sK20,X0)) )
    | ~ spl69_237
    | ~ spl69_275 ),
    inference(superposition,[],[f2516,f3126]) ).

fof(f6880,plain,
    ( spl69_658
    | ~ spl69_268
    | ~ spl69_634 ),
    inference(avatar_split_clause,[],[f6085,f6081,f3058,f6877]) ).

fof(f6877,plain,
    ( spl69_658
  <=> sP7(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_658])]) ).

fof(f6081,plain,
    ( spl69_634
  <=> sP7(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_634])]) ).

fof(f6085,plain,
    ( sP7(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_634 ),
    inference(forward_demodulation,[],[f6083,f3060]) ).

fof(f6083,plain,
    ( sP7(cons(hd(sK20),nil))
    | ~ spl69_634 ),
    inference(avatar_component_clause,[],[f6081]) ).

fof(f6875,plain,
    ( ~ spl69_305
    | ~ spl69_310
    | spl69_657
    | ~ spl69_211
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3147,f3124,f2257,f6873,f3670,f3555]) ).

fof(f6873,plain,
    ( spl69_657
  <=> ! [X0] :
        ( sK20 != app(sK25(sK20),X0)
        | ~ ssList(X0)
        | cons(sK24(sK20),nil) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_657])]) ).

fof(f3147,plain,
    ( ! [X0] :
        ( sK20 != app(sK25(sK20),X0)
        | cons(sK24(sK20),nil) = X0
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(sK25(sK20))
        | ~ ssList(X0) )
    | ~ spl69_211
    | ~ spl69_275 ),
    inference(superposition,[],[f2258,f3126]) ).

fof(f6870,plain,
    ( ~ spl69_310
    | ~ spl69_305
    | spl69_656
    | ~ spl69_210
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3145,f3124,f2253,f6868,f3555,f3670]) ).

fof(f6868,plain,
    ( spl69_656
  <=> ! [X0] :
        ( sK20 != app(X0,cons(sK24(sK20),nil))
        | ~ ssList(X0)
        | sK25(sK20) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_656])]) ).

fof(f3145,plain,
    ( ! [X0] :
        ( sK20 != app(X0,cons(sK24(sK20),nil))
        | sK25(sK20) = X0
        | ~ ssList(sK25(sK20))
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(X0) )
    | ~ spl69_210
    | ~ spl69_275 ),
    inference(superposition,[],[f2254,f3126]) ).

fof(f6855,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_655
    | ~ spl69_240
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3132,f3124,f2538,f6853,f711,f3555,f3444]) ).

fof(f6853,plain,
    ( spl69_655
  <=> ! [X0,X1] :
        ( ~ sP16(app(sK20,cons(X0,X1)))
        | lt(sK24(sK20),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_655])]) ).

fof(f3132,plain,
    ( ! [X0,X1] :
        ( ~ sP16(app(sK20,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0)
        | ~ ssItem(sK24(sK20))
        | lt(sK24(sK20),X0) )
    | ~ spl69_240
    | ~ spl69_275 ),
    inference(superposition,[],[f2539,f3126]) ).

fof(f6840,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_654
    | ~ spl69_239
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3131,f3124,f2534,f6838,f711,f3555,f3444]) ).

fof(f6838,plain,
    ( spl69_654
  <=> ! [X0,X1] :
        ( ~ sP14(app(sK20,cons(X0,X1)))
        | leq(sK24(sK20),X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_654])]) ).

fof(f3131,plain,
    ( ! [X0,X1] :
        ( ~ sP14(app(sK20,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0)
        | ~ ssItem(sK24(sK20))
        | leq(sK24(sK20),X0) )
    | ~ spl69_239
    | ~ spl69_275 ),
    inference(superposition,[],[f2535,f3126]) ).

fof(f6833,plain,
    ( ~ spl69_310
    | ~ spl69_305
    | spl69_653
    | ~ spl69_196
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3143,f3124,f2111,f6831,f3555,f3670]) ).

fof(f3143,plain,
    ( ! [X0] :
        ( rearsegP(sK20,X0)
        | ~ rearsegP(cons(sK24(sK20),nil),X0)
        | ~ ssList(sK25(sK20))
        | ~ ssList(X0)
        | ~ ssList(cons(sK24(sK20),nil)) )
    | ~ spl69_196
    | ~ spl69_275 ),
    inference(superposition,[],[f2112,f3126]) ).

fof(f6825,plain,
    ( spl69_652
    | ~ spl69_268
    | ~ spl69_623 ),
    inference(avatar_split_clause,[],[f6039,f6035,f3058,f6822]) ).

fof(f6822,plain,
    ( spl69_652
  <=> sP5(cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_652])]) ).

fof(f6035,plain,
    ( spl69_623
  <=> sP5(cons(hd(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_623])]) ).

fof(f6039,plain,
    ( sP5(cons(sK24(sK20),nil))
    | ~ spl69_268
    | ~ spl69_623 ),
    inference(forward_demodulation,[],[f6037,f3060]) ).

fof(f6037,plain,
    ( sP5(cons(hd(sK20),nil))
    | ~ spl69_623 ),
    inference(avatar_component_clause,[],[f6035]) ).

fof(f6820,plain,
    ( ~ spl69_305
    | ~ spl69_310
    | spl69_651
    | ~ spl69_192
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3142,f3124,f2095,f6818,f3670,f3555]) ).

fof(f3142,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ memberP(cons(sK24(sK20),nil),X0)
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_192
    | ~ spl69_275 ),
    inference(superposition,[],[f2096,f3126]) ).

fof(f6813,plain,
    ( ~ spl69_305
    | ~ spl69_310
    | spl69_650
    | ~ spl69_197
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3144,f3124,f2115,f6811,f3670,f3555]) ).

fof(f6811,plain,
    ( spl69_650
  <=> ! [X0] :
        ( frontsegP(sK20,X0)
        | ~ ssList(X0)
        | ~ frontsegP(sK25(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_650])]) ).

fof(f3144,plain,
    ( ! [X0] :
        ( frontsegP(sK20,X0)
        | ~ frontsegP(sK25(sK20),X0)
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(X0)
        | ~ ssList(sK25(sK20)) )
    | ~ spl69_197
    | ~ spl69_275 ),
    inference(superposition,[],[f2116,f3126]) ).

fof(f6809,plain,
    ( ~ spl69_305
    | ~ spl69_310
    | spl69_649
    | ~ spl69_191
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3141,f3124,f2091,f6807,f3670,f3555]) ).

fof(f6807,plain,
    ( spl69_649
  <=> ! [X0] :
        ( memberP(sK20,X0)
        | ~ ssItem(X0)
        | ~ memberP(sK25(sK20),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_649])]) ).

fof(f3141,plain,
    ( ! [X0] :
        ( memberP(sK20,X0)
        | ~ memberP(sK25(sK20),X0)
        | ~ ssList(cons(sK24(sK20),nil))
        | ~ ssList(sK25(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_191
    | ~ spl69_275 ),
    inference(superposition,[],[f2092,f3126]) ).

fof(f6796,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | ~ spl69_14
    | spl69_648
    | ~ spl69_232
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3129,f3124,f2459,f6794,f711,f3555,f3444]) ).

fof(f3129,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK20,cons(sK24(sK20),X0)))
        | ~ ssList(nil)
        | ~ ssList(sK25(sK20))
        | ~ ssItem(sK24(sK20))
        | ~ ssList(X0) )
    | ~ spl69_232
    | ~ spl69_275 ),
    inference(superposition,[],[f2460,f3126]) ).

fof(f6789,plain,
    ( ~ spl69_1
    | ~ spl69_310
    | ~ spl69_305
    | spl69_647
    | ~ spl69_188
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3139,f3124,f2017,f6786,f3555,f3670,f647]) ).

fof(f6786,plain,
    ( spl69_647
  <=> rearsegP(sK20,cons(sK24(sK20),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_647])]) ).

fof(f3139,plain,
    ( rearsegP(sK20,cons(sK24(sK20),nil))
    | ~ ssList(sK25(sK20))
    | ~ ssList(cons(sK24(sK20),nil))
    | ~ ssList(sK20)
    | ~ spl69_188
    | ~ spl69_275 ),
    inference(superposition,[],[f2018,f3126]) ).

fof(f6746,plain,
    ( spl69_310
    | ~ spl69_263
    | ~ spl69_268 ),
    inference(avatar_split_clause,[],[f3062,f3058,f2961,f3670]) ).

fof(f3062,plain,
    ( ssList(cons(sK24(sK20),nil))
    | ~ spl69_263
    | ~ spl69_268 ),
    inference(superposition,[],[f2962,f3060]) ).

fof(f6724,plain,
    ( spl69_646
    | ~ spl69_26
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2985,f2961,f763,f6721]) ).

fof(f2985,plain,
    ( sP17(cons(hd(sK20),nil))
    | ~ spl69_26
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f764]) ).

fof(f6698,plain,
    ( spl69_645
    | ~ spl69_25
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2984,f2961,f759,f6695]) ).

fof(f2984,plain,
    ( sP15(cons(hd(sK20),nil))
    | ~ spl69_25
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f760]) ).

fof(f6672,plain,
    ( spl69_644
    | ~ spl69_24
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2983,f2961,f755,f6669]) ).

fof(f2983,plain,
    ( sP13(cons(hd(sK20),nil))
    | ~ spl69_24
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f756]) ).

fof(f6457,plain,
    ( spl69_643
    | ~ spl69_23
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2982,f2961,f751,f6454]) ).

fof(f2982,plain,
    ( sP11(cons(hd(sK20),nil))
    | ~ spl69_23
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f752]) ).

fof(f6221,plain,
    ( spl69_642
    | ~ spl69_22
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2981,f2961,f747,f6218]) ).

fof(f2981,plain,
    ( sP9(cons(hd(sK20),nil))
    | ~ spl69_22
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f748]) ).

fof(f6153,plain,
    ( ~ spl69_14
    | spl69_641
    | ~ spl69_36
    | ~ spl69_195 ),
    inference(avatar_split_clause,[],[f2162,f2107,f826,f6151,f711]) ).

fof(f2162,plain,
    ( ! [X0] :
        ( app(nil,sK66(X0,nil)) = X0
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl69_36
    | ~ spl69_195 ),
    inference(duplicate_literal_removal,[],[f2159]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( app(nil,sK66(X0,nil)) = X0
        | ~ ssList(nil)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_36
    | ~ spl69_195 ),
    inference(resolution,[],[f2108,f827]) ).

fof(f6109,plain,
    ( ~ spl69_14
    | spl69_640
    | ~ spl69_34
    | ~ spl69_194 ),
    inference(avatar_split_clause,[],[f2157,f2103,f818,f6107,f711]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( app(sK63(X0,nil),nil) = X0
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl69_34
    | ~ spl69_194 ),
    inference(duplicate_literal_removal,[],[f2152]) ).

fof(f2152,plain,
    ( ! [X0] :
        ( app(sK63(X0,nil),nil) = X0
        | ~ ssList(nil)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_34
    | ~ spl69_194 ),
    inference(resolution,[],[f2104,f819]) ).

fof(f6105,plain,
    ( spl69_639
    | ~ spl69_14
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2038,f2001,f711,f6103]) ).

fof(f6103,plain,
    ( spl69_639
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,nil) = app(cons(X0,nil),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_639])]) ).

fof(f2038,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,nil) = app(cons(X0,nil),nil) )
    | ~ spl69_14
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f713]) ).

fof(f6101,plain,
    ( spl69_638
    | ~ spl69_26
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1873,f1797,f763,f6099]) ).

fof(f6099,plain,
    ( spl69_638
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_638])]) ).

fof(f1873,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK66(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f764]) ).

fof(f6097,plain,
    ( spl69_637
    | ~ spl69_25
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1872,f1797,f759,f6095]) ).

fof(f6095,plain,
    ( spl69_637
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_637])]) ).

fof(f1872,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK66(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f760]) ).

fof(f6093,plain,
    ( spl69_636
    | ~ spl69_24
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1871,f1797,f755,f6091]) ).

fof(f6091,plain,
    ( spl69_636
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_636])]) ).

fof(f1871,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK66(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f756]) ).

fof(f6089,plain,
    ( spl69_635
    | ~ spl69_23
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1870,f1797,f751,f6087]) ).

fof(f6087,plain,
    ( spl69_635
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_635])]) ).

fof(f1870,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK66(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f752]) ).

fof(f6084,plain,
    ( spl69_634
    | ~ spl69_21
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2980,f2961,f743,f6081]) ).

fof(f2980,plain,
    ( sP7(cons(hd(sK20),nil))
    | ~ spl69_21
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f744]) ).

fof(f6079,plain,
    ( spl69_633
    | ~ spl69_22
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1869,f1797,f747,f6077]) ).

fof(f6077,plain,
    ( spl69_633
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_633])]) ).

fof(f1869,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK66(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f748]) ).

fof(f6075,plain,
    ( spl69_632
    | ~ spl69_21
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1868,f1797,f743,f6073]) ).

fof(f6073,plain,
    ( spl69_632
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_632])]) ).

fof(f1868,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK66(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f744]) ).

fof(f6071,plain,
    ( spl69_631
    | ~ spl69_20
    | ~ spl69_172 ),
    inference(avatar_split_clause,[],[f1867,f1797,f739,f6069]) ).

fof(f6069,plain,
    ( spl69_631
  <=> ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK66(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_631])]) ).

fof(f1867,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK66(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_172 ),
    inference(resolution,[],[f1798,f740]) ).

fof(f6067,plain,
    ( spl69_630
    | ~ spl69_26
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1860,f1793,f763,f6065]) ).

fof(f6065,plain,
    ( spl69_630
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_630])]) ).

fof(f1860,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK65(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f764]) ).

fof(f6063,plain,
    ( spl69_629
    | ~ spl69_25
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1859,f1793,f759,f6061]) ).

fof(f6061,plain,
    ( spl69_629
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_629])]) ).

fof(f1859,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK65(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f760]) ).

fof(f6059,plain,
    ( spl69_628
    | ~ spl69_24
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1858,f1793,f755,f6057]) ).

fof(f6057,plain,
    ( spl69_628
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_628])]) ).

fof(f1858,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK65(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f756]) ).

fof(f6055,plain,
    ( spl69_627
    | ~ spl69_23
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1857,f1793,f751,f6053]) ).

fof(f6053,plain,
    ( spl69_627
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_627])]) ).

fof(f1857,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK65(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f752]) ).

fof(f6051,plain,
    ( spl69_626
    | ~ spl69_22
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1856,f1793,f747,f6049]) ).

fof(f6049,plain,
    ( spl69_626
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_626])]) ).

fof(f1856,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK65(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f748]) ).

fof(f6047,plain,
    ( spl69_625
    | ~ spl69_21
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1855,f1793,f743,f6045]) ).

fof(f6045,plain,
    ( spl69_625
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_625])]) ).

fof(f1855,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK65(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f744]) ).

fof(f6043,plain,
    ( spl69_624
    | ~ spl69_20
    | ~ spl69_171 ),
    inference(avatar_split_clause,[],[f1854,f1793,f739,f6041]) ).

fof(f6041,plain,
    ( spl69_624
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK65(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_624])]) ).

fof(f1854,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK65(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_171 ),
    inference(resolution,[],[f1794,f740]) ).

fof(f6038,plain,
    ( spl69_623
    | ~ spl69_20
    | ~ spl69_263 ),
    inference(avatar_split_clause,[],[f2979,f2961,f739,f6035]) ).

fof(f2979,plain,
    ( sP5(cons(hd(sK20),nil))
    | ~ spl69_20
    | ~ spl69_263 ),
    inference(resolution,[],[f2962,f740]) ).

fof(f6033,plain,
    ( spl69_622
    | ~ spl69_26
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1847,f1789,f763,f6031]) ).

fof(f6031,plain,
    ( spl69_622
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_622])]) ).

fof(f1847,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK64(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f764]) ).

fof(f6029,plain,
    ( spl69_621
    | ~ spl69_25
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1846,f1789,f759,f6027]) ).

fof(f6027,plain,
    ( spl69_621
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_621])]) ).

fof(f1846,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK64(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f760]) ).

fof(f6025,plain,
    ( spl69_620
    | ~ spl69_24
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1845,f1789,f755,f6023]) ).

fof(f6023,plain,
    ( spl69_620
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_620])]) ).

fof(f1845,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK64(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f756]) ).

fof(f6021,plain,
    ( spl69_619
    | ~ spl69_23
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1844,f1789,f751,f6019]) ).

fof(f6019,plain,
    ( spl69_619
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_619])]) ).

fof(f1844,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK64(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f752]) ).

fof(f6017,plain,
    ( spl69_618
    | ~ spl69_22
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1843,f1789,f747,f6015]) ).

fof(f6015,plain,
    ( spl69_618
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_618])]) ).

fof(f1843,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK64(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f748]) ).

fof(f6013,plain,
    ( spl69_617
    | ~ spl69_21
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1842,f1789,f743,f6011]) ).

fof(f6011,plain,
    ( spl69_617
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_617])]) ).

fof(f1842,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK64(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f744]) ).

fof(f6009,plain,
    ( spl69_616
    | ~ spl69_20
    | ~ spl69_170 ),
    inference(avatar_split_clause,[],[f1841,f1789,f739,f6007]) ).

fof(f6007,plain,
    ( spl69_616
  <=> ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK64(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_616])]) ).

fof(f1841,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK64(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_170 ),
    inference(resolution,[],[f1790,f740]) ).

fof(f6005,plain,
    ( spl69_615
    | ~ spl69_26
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1834,f1785,f763,f6003]) ).

fof(f6003,plain,
    ( spl69_615
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_615])]) ).

fof(f1834,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP17(sK63(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f764]) ).

fof(f6001,plain,
    ( spl69_614
    | ~ spl69_25
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1833,f1785,f759,f5999]) ).

fof(f5999,plain,
    ( spl69_614
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_614])]) ).

fof(f1833,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP15(sK63(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f760]) ).

fof(f5997,plain,
    ( ~ spl69_320
    | ~ spl69_269
    | spl69_293 ),
    inference(avatar_split_clause,[],[f3428,f3419,f3070,f3907]) ).

fof(f3907,plain,
    ( spl69_320
  <=> nil = sK25(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_320])]) ).

fof(f3419,plain,
    ( spl69_293
  <=> nil = tl(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_293])]) ).

fof(f3428,plain,
    ( nil != sK25(sK20)
    | ~ spl69_269
    | spl69_293 ),
    inference(superposition,[],[f3420,f3072]) ).

fof(f3420,plain,
    ( nil != tl(sK20)
    | spl69_293 ),
    inference(avatar_component_clause,[],[f3419]) ).

fof(f5996,plain,
    ( spl69_613
    | ~ spl69_24
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1832,f1785,f755,f5994]) ).

fof(f5994,plain,
    ( spl69_613
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_613])]) ).

fof(f1832,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP13(sK63(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f756]) ).

fof(f5992,plain,
    ( spl69_612
    | ~ spl69_23
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1831,f1785,f751,f5990]) ).

fof(f5990,plain,
    ( spl69_612
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_612])]) ).

fof(f1831,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP11(sK63(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f752]) ).

fof(f5988,plain,
    ( spl69_611
    | ~ spl69_22
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1830,f1785,f747,f5986]) ).

fof(f5986,plain,
    ( spl69_611
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_611])]) ).

fof(f1830,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP9(sK63(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f748]) ).

fof(f5984,plain,
    ( spl69_610
    | ~ spl69_21
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1829,f1785,f743,f5982]) ).

fof(f5982,plain,
    ( spl69_610
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_610])]) ).

fof(f1829,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP7(sK63(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f744]) ).

fof(f5980,plain,
    ( spl69_609
    | ~ spl69_20
    | ~ spl69_169 ),
    inference(avatar_split_clause,[],[f1828,f1785,f739,f5978]) ).

fof(f5978,plain,
    ( spl69_609
  <=> ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK63(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_609])]) ).

fof(f1828,plain,
    ( ! [X0,X1] :
        ( ~ rearsegP(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | sP5(sK63(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_169 ),
    inference(resolution,[],[f1786,f740]) ).

fof(f5976,plain,
    ( spl69_608
    | ~ spl69_26
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1821,f1781,f763,f5974]) ).

fof(f5974,plain,
    ( spl69_608
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP17(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_608])]) ).

fof(f1821,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP17(sK62(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f764]) ).

fof(f5972,plain,
    ( spl69_607
    | ~ spl69_25
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1820,f1781,f759,f5970]) ).

fof(f5970,plain,
    ( spl69_607
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP15(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_607])]) ).

fof(f1820,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP15(sK62(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f760]) ).

fof(f5968,plain,
    ( spl69_606
    | ~ spl69_24
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1819,f1781,f755,f5966]) ).

fof(f5966,plain,
    ( spl69_606
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP13(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_606])]) ).

fof(f1819,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP13(sK62(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f756]) ).

fof(f5964,plain,
    ( spl69_605
    | ~ spl69_23
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1818,f1781,f751,f5962]) ).

fof(f5962,plain,
    ( spl69_605
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP11(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_605])]) ).

fof(f1818,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP11(sK62(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f752]) ).

fof(f5960,plain,
    ( spl69_604
    | ~ spl69_22
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1817,f1781,f747,f5958]) ).

fof(f5958,plain,
    ( spl69_604
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP9(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_604])]) ).

fof(f1817,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP9(sK62(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f748]) ).

fof(f5956,plain,
    ( spl69_593
    | ~ spl69_592
    | ~ spl69_104
    | ~ spl69_108 ),
    inference(avatar_split_clause,[],[f1901,f1267,f1247,f5906,f5910]) ).

fof(f1267,plain,
    ( spl69_108
  <=> sP17(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_108])]) ).

fof(f1901,plain,
    ( ~ strictorderedP(sK21)
    | sP16(sK21)
    | ~ spl69_104
    | ~ spl69_108 ),
    inference(resolution,[],[f1269,f1248]) ).

fof(f1269,plain,
    ( sP17(sK21)
    | ~ spl69_108 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f5955,plain,
    ( spl69_603
    | ~ spl69_21
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1816,f1781,f743,f5953]) ).

fof(f5953,plain,
    ( spl69_603
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP7(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_603])]) ).

fof(f1816,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP7(sK62(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f744]) ).

fof(f5951,plain,
    ( spl69_602
    | ~ spl69_20
    | ~ spl69_168 ),
    inference(avatar_split_clause,[],[f1815,f1781,f739,f5949]) ).

fof(f5949,plain,
    ( spl69_602
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP5(sK62(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_602])]) ).

fof(f1815,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP5(sK62(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_168 ),
    inference(resolution,[],[f1782,f740]) ).

fof(f5947,plain,
    ( spl69_601
    | ~ spl69_26
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1806,f1777,f763,f5945]) ).

fof(f5945,plain,
    ( spl69_601
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP17(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_601])]) ).

fof(f1806,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP17(sK61(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f764]) ).

fof(f5943,plain,
    ( spl69_600
    | ~ spl69_25
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1805,f1777,f759,f5941]) ).

fof(f5941,plain,
    ( spl69_600
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP15(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_600])]) ).

fof(f1805,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP15(sK61(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f760]) ).

fof(f5939,plain,
    ( spl69_599
    | ~ spl69_24
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1804,f1777,f755,f5937]) ).

fof(f5937,plain,
    ( spl69_599
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP13(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_599])]) ).

fof(f1804,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP13(sK61(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f756]) ).

fof(f5935,plain,
    ( spl69_598
    | ~ spl69_23
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1803,f1777,f751,f5933]) ).

fof(f5933,plain,
    ( spl69_598
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP11(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_598])]) ).

fof(f1803,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP11(sK61(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f752]) ).

fof(f5931,plain,
    ( spl69_597
    | ~ spl69_22
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1802,f1777,f747,f5929]) ).

fof(f5929,plain,
    ( spl69_597
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP9(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_597])]) ).

fof(f1802,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP9(sK61(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f748]) ).

fof(f5927,plain,
    ( spl69_596
    | ~ spl69_21
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1801,f1777,f743,f5925]) ).

fof(f5925,plain,
    ( spl69_596
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP7(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_596])]) ).

fof(f1801,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP7(sK61(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f744]) ).

fof(f5923,plain,
    ( spl69_595
    | ~ spl69_20
    | ~ spl69_167 ),
    inference(avatar_split_clause,[],[f1800,f1777,f739,f5921]) ).

fof(f5921,plain,
    ( spl69_595
  <=> ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP5(sK61(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_595])]) ).

fof(f1800,plain,
    ( ! [X0,X1] :
        ( ~ memberP(X0,X1)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | sP5(sK61(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_167 ),
    inference(resolution,[],[f1778,f740]) ).

fof(f5919,plain,
    ( spl69_594
    | ~ spl69_74
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1768,f1618,f980,f5917]) ).

fof(f1768,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK60(X1))) = X0
        | sP16(X1) )
    | ~ spl69_74
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f981]) ).

fof(f5913,plain,
    ( spl69_592
    | ~ spl69_593
    | ~ spl69_106
    | ~ spl69_108 ),
    inference(avatar_split_clause,[],[f1900,f1267,f1256,f5910,f5906]) ).

fof(f1900,plain,
    ( ~ sP16(sK21)
    | strictorderedP(sK21)
    | ~ spl69_106
    | ~ spl69_108 ),
    inference(resolution,[],[f1269,f1257]) ).

fof(f5904,plain,
    ( spl69_591
    | ~ spl69_73
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1767,f1618,f976,f5902]) ).

fof(f1767,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK59(X1))) = X0
        | sP16(X1) )
    | ~ spl69_73
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f977]) ).

fof(f5900,plain,
    ( spl69_590
    | ~ spl69_72
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1766,f1618,f972,f5898]) ).

fof(f1766,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK58(X1))) = X0
        | sP16(X1) )
    | ~ spl69_72
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f973]) ).

fof(f5896,plain,
    ( spl69_589
    | ~ spl69_69
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1765,f1618,f960,f5894]) ).

fof(f1765,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK55(X1))) = X0
        | sP14(X1) )
    | ~ spl69_69
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f961]) ).

fof(f5892,plain,
    ( spl69_588
    | ~ spl69_68
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1764,f1618,f956,f5890]) ).

fof(f1764,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK54(X1))) = X0
        | sP14(X1) )
    | ~ spl69_68
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f957]) ).

fof(f5888,plain,
    ( spl69_587
    | ~ spl69_67
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1763,f1618,f952,f5886]) ).

fof(f1763,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK53(X1))) = X0
        | sP14(X1) )
    | ~ spl69_67
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f953]) ).

fof(f5884,plain,
    ( spl69_586
    | ~ spl69_63
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1762,f1618,f935,f5882]) ).

fof(f1762,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK50(X1))) = X0
        | sP12(X1) )
    | ~ spl69_63
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f936]) ).

fof(f5880,plain,
    ( spl69_585
    | ~ spl69_62
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1761,f1618,f931,f5878]) ).

fof(f1761,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK49(X1))) = X0
        | sP12(X1) )
    | ~ spl69_62
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f932]) ).

fof(f5876,plain,
    ( spl69_584
    | ~ spl69_61
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1760,f1618,f927,f5874]) ).

fof(f1760,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK48(X1))) = X0
        | sP12(X1) )
    | ~ spl69_61
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f928]) ).

fof(f5872,plain,
    ( spl69_583
    | ~ spl69_58
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1759,f1618,f915,f5870]) ).

fof(f1759,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK45(X1))) = X0
        | sP10(X1) )
    | ~ spl69_58
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f916]) ).

fof(f5868,plain,
    ( spl69_582
    | ~ spl69_57
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1758,f1618,f911,f5866]) ).

fof(f1758,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK44(X1))) = X0
        | sP10(X1) )
    | ~ spl69_57
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f912]) ).

fof(f5857,plain,
    ( spl69_581
    | ~ spl69_56
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1757,f1618,f907,f5855]) ).

fof(f1757,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK43(X1))) = X0
        | sP10(X1) )
    | ~ spl69_56
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f908]) ).

fof(f5853,plain,
    ( spl69_580
    | ~ spl69_52
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1756,f1618,f890,f5851]) ).

fof(f1756,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK40(X1))) = X0
        | sP8(X1) )
    | ~ spl69_52
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f891]) ).

fof(f5849,plain,
    ( spl69_579
    | ~ spl69_51
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1755,f1618,f886,f5847]) ).

fof(f1755,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK39(X1))) = X0
        | sP8(X1) )
    | ~ spl69_51
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f887]) ).

fof(f5845,plain,
    ( spl69_578
    | ~ spl69_50
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1754,f1618,f882,f5843]) ).

fof(f1754,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK38(X1))) = X0
        | sP8(X1) )
    | ~ spl69_50
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f883]) ).

fof(f5841,plain,
    ( spl69_577
    | ~ spl69_47
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1753,f1618,f870,f5839]) ).

fof(f1753,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK35(X1))) = X0
        | sP6(X1) )
    | ~ spl69_47
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f871]) ).

fof(f5837,plain,
    ( spl69_576
    | ~ spl69_46
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1752,f1618,f866,f5835]) ).

fof(f1752,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK34(X1))) = X0
        | sP6(X1) )
    | ~ spl69_46
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f867]) ).

fof(f5833,plain,
    ( spl69_575
    | ~ spl69_45
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1751,f1618,f862,f5831]) ).

fof(f1751,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK33(X1))) = X0
        | sP6(X1) )
    | ~ spl69_45
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f863]) ).

fof(f5829,plain,
    ( spl69_574
    | ~ spl69_42
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1750,f1618,f850,f5827]) ).

fof(f1750,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK30(X1))) = X0
        | sP4(X1) )
    | ~ spl69_42
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f851]) ).

fof(f5825,plain,
    ( spl69_573
    | ~ spl69_41
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1749,f1618,f846,f5823]) ).

fof(f1749,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK29(X1))) = X0
        | sP4(X1) )
    | ~ spl69_41
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f847]) ).

fof(f5818,plain,
    ( spl69_572
    | ~ spl69_29
    | ~ spl69_159 ),
    inference(avatar_split_clause,[],[f1651,f1598,f797,f5816]) ).

fof(f5816,plain,
    ( spl69_572
  <=> ! [X0] :
        ( nil = X0
        | ~ sP2(X0,hd(X0))
        | ~ ssItem(hd(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_572])]) ).

fof(f797,plain,
    ( spl69_29
  <=> ! [X0] :
        ( ~ lt(X0,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).

fof(f1651,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ sP2(X0,hd(X0))
        | ~ ssItem(hd(X0)) )
    | ~ spl69_29
    | ~ spl69_159 ),
    inference(resolution,[],[f1599,f798]) ).

fof(f798,plain,
    ( ! [X0] :
        ( ~ lt(X0,X0)
        | ~ ssItem(X0) )
    | ~ spl69_29 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f5723,plain,
    ( spl69_570
    | ~ spl69_571
    | ~ spl69_106
    | ~ spl69_107 ),
    inference(avatar_split_clause,[],[f1813,f1262,f1256,f5720,f5716]) ).

fof(f1262,plain,
    ( spl69_107
  <=> sP17(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_107])]) ).

fof(f1813,plain,
    ( ~ sP16(sK20)
    | strictorderedP(sK20)
    | ~ spl69_106
    | ~ spl69_107 ),
    inference(resolution,[],[f1264,f1257]) ).

fof(f1264,plain,
    ( sP17(sK20)
    | ~ spl69_107 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f5665,plain,
    ( spl69_335
    | ~ spl69_26
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4312,f3555,f763,f3983]) ).

fof(f3983,plain,
    ( spl69_335
  <=> sP17(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_335])]) ).

fof(f4312,plain,
    ( sP17(sK25(sK20))
    | ~ spl69_26
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f764]) ).

fof(f3557,plain,
    ( ssList(sK25(sK20))
    | ~ spl69_305 ),
    inference(avatar_component_clause,[],[f3555]) ).

fof(f5626,plain,
    ( spl69_569
    | ~ spl69_35
    | ~ spl69_195 ),
    inference(avatar_split_clause,[],[f2163,f2107,f822,f5624]) ).

fof(f822,plain,
    ( spl69_35
  <=> ! [X0] :
        ( frontsegP(X0,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).

fof(f2163,plain,
    ( ! [X0] :
        ( app(X0,sK66(X0,X0)) = X0
        | ~ ssList(X0) )
    | ~ spl69_35
    | ~ spl69_195 ),
    inference(duplicate_literal_removal,[],[f2158]) ).

fof(f2158,plain,
    ( ! [X0] :
        ( app(X0,sK66(X0,X0)) = X0
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_35
    | ~ spl69_195 ),
    inference(resolution,[],[f2108,f823]) ).

fof(f823,plain,
    ( ! [X0] :
        ( frontsegP(X0,X0)
        | ~ ssList(X0) )
    | ~ spl69_35 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f5622,plain,
    ( spl69_568
    | ~ spl69_38
    | ~ spl69_194 ),
    inference(avatar_split_clause,[],[f2156,f2103,f834,f5620]) ).

fof(f834,plain,
    ( spl69_38
  <=> ! [X0] :
        ( rearsegP(X0,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).

fof(f2156,plain,
    ( ! [X0] :
        ( app(sK63(X0,X0),X0) = X0
        | ~ ssList(X0) )
    | ~ spl69_38
    | ~ spl69_194 ),
    inference(duplicate_literal_removal,[],[f2153]) ).

fof(f2153,plain,
    ( ! [X0] :
        ( app(sK63(X0,X0),X0) = X0
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl69_38
    | ~ spl69_194 ),
    inference(resolution,[],[f2104,f835]) ).

fof(f835,plain,
    ( ! [X0] :
        ( rearsegP(X0,X0)
        | ~ ssList(X0) )
    | ~ spl69_38 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f5618,plain,
    ( spl69_567
    | ~ spl69_74
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1380,f1284,f980,f5616]) ).

fof(f5616,plain,
    ( spl69_567
  <=> ! [X0] :
        ( sK60(X0) = app(nil,sK60(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_567])]) ).

fof(f1380,plain,
    ( ! [X0] :
        ( sK60(X0) = app(nil,sK60(X0))
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f981]) ).

fof(f5614,plain,
    ( spl69_566
    | ~ spl69_73
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1379,f1284,f976,f5612]) ).

fof(f5612,plain,
    ( spl69_566
  <=> ! [X0] :
        ( sK59(X0) = app(nil,sK59(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_566])]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( sK59(X0) = app(nil,sK59(X0))
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f977]) ).

fof(f5610,plain,
    ( spl69_565
    | ~ spl69_72
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1378,f1284,f972,f5608]) ).

fof(f5608,plain,
    ( spl69_565
  <=> ! [X0] :
        ( sK58(X0) = app(nil,sK58(X0))
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_565])]) ).

fof(f1378,plain,
    ( ! [X0] :
        ( sK58(X0) = app(nil,sK58(X0))
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f973]) ).

fof(f5606,plain,
    ( spl69_564
    | ~ spl69_69
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1377,f1284,f960,f5604]) ).

fof(f5604,plain,
    ( spl69_564
  <=> ! [X0] :
        ( sK55(X0) = app(nil,sK55(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_564])]) ).

fof(f1377,plain,
    ( ! [X0] :
        ( sK55(X0) = app(nil,sK55(X0))
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f961]) ).

fof(f5602,plain,
    ( spl69_563
    | ~ spl69_68
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1376,f1284,f956,f5600]) ).

fof(f5600,plain,
    ( spl69_563
  <=> ! [X0] :
        ( sK54(X0) = app(nil,sK54(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_563])]) ).

fof(f1376,plain,
    ( ! [X0] :
        ( sK54(X0) = app(nil,sK54(X0))
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f957]) ).

fof(f5598,plain,
    ( spl69_346
    | ~ spl69_25
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4311,f3555,f759,f4029]) ).

fof(f4029,plain,
    ( spl69_346
  <=> sP15(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_346])]) ).

fof(f4311,plain,
    ( sP15(sK25(sK20))
    | ~ spl69_25
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f760]) ).

fof(f5597,plain,
    ( spl69_562
    | ~ spl69_67
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1375,f1284,f952,f5595]) ).

fof(f5595,plain,
    ( spl69_562
  <=> ! [X0] :
        ( sK53(X0) = app(nil,sK53(X0))
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_562])]) ).

fof(f1375,plain,
    ( ! [X0] :
        ( sK53(X0) = app(nil,sK53(X0))
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f953]) ).

fof(f5593,plain,
    ( spl69_561
    | ~ spl69_63
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1374,f1284,f935,f5591]) ).

fof(f5591,plain,
    ( spl69_561
  <=> ! [X0] :
        ( sK50(X0) = app(nil,sK50(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_561])]) ).

fof(f1374,plain,
    ( ! [X0] :
        ( sK50(X0) = app(nil,sK50(X0))
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f936]) ).

fof(f5589,plain,
    ( spl69_560
    | ~ spl69_62
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1373,f1284,f931,f5587]) ).

fof(f5587,plain,
    ( spl69_560
  <=> ! [X0] :
        ( sK49(X0) = app(nil,sK49(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_560])]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( sK49(X0) = app(nil,sK49(X0))
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f932]) ).

fof(f5585,plain,
    ( spl69_559
    | ~ spl69_61
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1372,f1284,f927,f5583]) ).

fof(f5583,plain,
    ( spl69_559
  <=> ! [X0] :
        ( sK48(X0) = app(nil,sK48(X0))
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_559])]) ).

fof(f1372,plain,
    ( ! [X0] :
        ( sK48(X0) = app(nil,sK48(X0))
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f928]) ).

fof(f5581,plain,
    ( spl69_558
    | ~ spl69_58
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1371,f1284,f915,f5579]) ).

fof(f5579,plain,
    ( spl69_558
  <=> ! [X0] :
        ( sK45(X0) = app(nil,sK45(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_558])]) ).

fof(f1371,plain,
    ( ! [X0] :
        ( sK45(X0) = app(nil,sK45(X0))
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f916]) ).

fof(f5577,plain,
    ( spl69_557
    | ~ spl69_57
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1370,f1284,f911,f5575]) ).

fof(f5575,plain,
    ( spl69_557
  <=> ! [X0] :
        ( sK44(X0) = app(nil,sK44(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_557])]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( sK44(X0) = app(nil,sK44(X0))
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f912]) ).

fof(f5573,plain,
    ( spl69_556
    | ~ spl69_56
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1369,f1284,f907,f5571]) ).

fof(f5571,plain,
    ( spl69_556
  <=> ! [X0] :
        ( sK43(X0) = app(nil,sK43(X0))
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_556])]) ).

fof(f1369,plain,
    ( ! [X0] :
        ( sK43(X0) = app(nil,sK43(X0))
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f908]) ).

fof(f5569,plain,
    ( spl69_555
    | ~ spl69_52
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1368,f1284,f890,f5567]) ).

fof(f5567,plain,
    ( spl69_555
  <=> ! [X0] :
        ( sK40(X0) = app(nil,sK40(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_555])]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( sK40(X0) = app(nil,sK40(X0))
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f891]) ).

fof(f5565,plain,
    ( spl69_554
    | ~ spl69_51
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1367,f1284,f886,f5563]) ).

fof(f5563,plain,
    ( spl69_554
  <=> ! [X0] :
        ( sK39(X0) = app(nil,sK39(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_554])]) ).

fof(f1367,plain,
    ( ! [X0] :
        ( sK39(X0) = app(nil,sK39(X0))
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f887]) ).

fof(f5561,plain,
    ( spl69_553
    | ~ spl69_50
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1366,f1284,f882,f5559]) ).

fof(f5559,plain,
    ( spl69_553
  <=> ! [X0] :
        ( sK38(X0) = app(nil,sK38(X0))
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_553])]) ).

fof(f1366,plain,
    ( ! [X0] :
        ( sK38(X0) = app(nil,sK38(X0))
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f883]) ).

fof(f5555,plain,
    ( spl69_552
    | ~ spl69_47
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1365,f1284,f870,f5553]) ).

fof(f5553,plain,
    ( spl69_552
  <=> ! [X0] :
        ( sK35(X0) = app(nil,sK35(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_552])]) ).

fof(f1365,plain,
    ( ! [X0] :
        ( sK35(X0) = app(nil,sK35(X0))
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f871]) ).

fof(f5551,plain,
    ( spl69_551
    | ~ spl69_46
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1364,f1284,f866,f5549]) ).

fof(f5549,plain,
    ( spl69_551
  <=> ! [X0] :
        ( sK34(X0) = app(nil,sK34(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_551])]) ).

fof(f1364,plain,
    ( ! [X0] :
        ( sK34(X0) = app(nil,sK34(X0))
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f867]) ).

fof(f5547,plain,
    ( spl69_550
    | ~ spl69_45
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1363,f1284,f862,f5545]) ).

fof(f5545,plain,
    ( spl69_550
  <=> ! [X0] :
        ( sK33(X0) = app(nil,sK33(X0))
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_550])]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( sK33(X0) = app(nil,sK33(X0))
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f863]) ).

fof(f5543,plain,
    ( spl69_549
    | ~ spl69_42
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1362,f1284,f850,f5541]) ).

fof(f5541,plain,
    ( spl69_549
  <=> ! [X0] :
        ( sK30(X0) = app(nil,sK30(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_549])]) ).

fof(f1362,plain,
    ( ! [X0] :
        ( sK30(X0) = app(nil,sK30(X0))
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f851]) ).

fof(f5539,plain,
    ( spl69_548
    | ~ spl69_41
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1361,f1284,f846,f5537]) ).

fof(f5537,plain,
    ( spl69_548
  <=> ! [X0] :
        ( sK29(X0) = app(nil,sK29(X0))
        | sP4(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_548])]) ).

fof(f1361,plain,
    ( ! [X0] :
        ( sK29(X0) = app(nil,sK29(X0))
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f847]) ).

fof(f5535,plain,
    ( spl69_547
    | ~ spl69_74
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1355,f1280,f980,f5533]) ).

fof(f5533,plain,
    ( spl69_547
  <=> ! [X0] :
        ( sK60(X0) = app(sK60(X0),nil)
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_547])]) ).

fof(f1355,plain,
    ( ! [X0] :
        ( sK60(X0) = app(sK60(X0),nil)
        | sP16(X0) )
    | ~ spl69_74
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f981]) ).

fof(f5531,plain,
    ( spl69_546
    | ~ spl69_73
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1354,f1280,f976,f5529]) ).

fof(f5529,plain,
    ( spl69_546
  <=> ! [X0] :
        ( sK59(X0) = app(sK59(X0),nil)
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_546])]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( sK59(X0) = app(sK59(X0),nil)
        | sP16(X0) )
    | ~ spl69_73
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f977]) ).

fof(f5527,plain,
    ( spl69_545
    | ~ spl69_72
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1353,f1280,f972,f5525]) ).

fof(f5525,plain,
    ( spl69_545
  <=> ! [X0] :
        ( sK58(X0) = app(sK58(X0),nil)
        | sP16(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_545])]) ).

fof(f1353,plain,
    ( ! [X0] :
        ( sK58(X0) = app(sK58(X0),nil)
        | sP16(X0) )
    | ~ spl69_72
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f973]) ).

fof(f5523,plain,
    ( spl69_544
    | ~ spl69_69
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1352,f1280,f960,f5521]) ).

fof(f5521,plain,
    ( spl69_544
  <=> ! [X0] :
        ( sK55(X0) = app(sK55(X0),nil)
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_544])]) ).

fof(f1352,plain,
    ( ! [X0] :
        ( sK55(X0) = app(sK55(X0),nil)
        | sP14(X0) )
    | ~ spl69_69
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f961]) ).

fof(f5519,plain,
    ( spl69_543
    | ~ spl69_68
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1351,f1280,f956,f5517]) ).

fof(f5517,plain,
    ( spl69_543
  <=> ! [X0] :
        ( sK54(X0) = app(sK54(X0),nil)
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_543])]) ).

fof(f1351,plain,
    ( ! [X0] :
        ( sK54(X0) = app(sK54(X0),nil)
        | sP14(X0) )
    | ~ spl69_68
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f957]) ).

fof(f5515,plain,
    ( spl69_357
    | ~ spl69_24
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4310,f3555,f755,f4075]) ).

fof(f4075,plain,
    ( spl69_357
  <=> sP13(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_357])]) ).

fof(f4310,plain,
    ( sP13(sK25(sK20))
    | ~ spl69_24
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f756]) ).

fof(f5514,plain,
    ( spl69_542
    | ~ spl69_67
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1350,f1280,f952,f5512]) ).

fof(f5512,plain,
    ( spl69_542
  <=> ! [X0] :
        ( sK53(X0) = app(sK53(X0),nil)
        | sP14(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_542])]) ).

fof(f1350,plain,
    ( ! [X0] :
        ( sK53(X0) = app(sK53(X0),nil)
        | sP14(X0) )
    | ~ spl69_67
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f953]) ).

fof(f5510,plain,
    ( spl69_541
    | ~ spl69_63
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1349,f1280,f935,f5508]) ).

fof(f5508,plain,
    ( spl69_541
  <=> ! [X0] :
        ( sK50(X0) = app(sK50(X0),nil)
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_541])]) ).

fof(f1349,plain,
    ( ! [X0] :
        ( sK50(X0) = app(sK50(X0),nil)
        | sP12(X0) )
    | ~ spl69_63
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f936]) ).

fof(f5506,plain,
    ( spl69_540
    | ~ spl69_62
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1348,f1280,f931,f5504]) ).

fof(f5504,plain,
    ( spl69_540
  <=> ! [X0] :
        ( sK49(X0) = app(sK49(X0),nil)
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_540])]) ).

fof(f1348,plain,
    ( ! [X0] :
        ( sK49(X0) = app(sK49(X0),nil)
        | sP12(X0) )
    | ~ spl69_62
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f932]) ).

fof(f5502,plain,
    ( spl69_539
    | ~ spl69_61
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1347,f1280,f927,f5500]) ).

fof(f5500,plain,
    ( spl69_539
  <=> ! [X0] :
        ( sK48(X0) = app(sK48(X0),nil)
        | sP12(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_539])]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( sK48(X0) = app(sK48(X0),nil)
        | sP12(X0) )
    | ~ spl69_61
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f928]) ).

fof(f5498,plain,
    ( spl69_538
    | ~ spl69_58
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1346,f1280,f915,f5496]) ).

fof(f5496,plain,
    ( spl69_538
  <=> ! [X0] :
        ( sK45(X0) = app(sK45(X0),nil)
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_538])]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( sK45(X0) = app(sK45(X0),nil)
        | sP10(X0) )
    | ~ spl69_58
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f916]) ).

fof(f5494,plain,
    ( spl69_537
    | ~ spl69_57
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1345,f1280,f911,f5492]) ).

fof(f5492,plain,
    ( spl69_537
  <=> ! [X0] :
        ( sK44(X0) = app(sK44(X0),nil)
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_537])]) ).

fof(f1345,plain,
    ( ! [X0] :
        ( sK44(X0) = app(sK44(X0),nil)
        | sP10(X0) )
    | ~ spl69_57
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f912]) ).

fof(f5490,plain,
    ( spl69_536
    | ~ spl69_56
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1344,f1280,f907,f5488]) ).

fof(f5488,plain,
    ( spl69_536
  <=> ! [X0] :
        ( sK43(X0) = app(sK43(X0),nil)
        | sP10(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_536])]) ).

fof(f1344,plain,
    ( ! [X0] :
        ( sK43(X0) = app(sK43(X0),nil)
        | sP10(X0) )
    | ~ spl69_56
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f908]) ).

fof(f5486,plain,
    ( spl69_535
    | ~ spl69_52
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1343,f1280,f890,f5484]) ).

fof(f5484,plain,
    ( spl69_535
  <=> ! [X0] :
        ( sK40(X0) = app(sK40(X0),nil)
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_535])]) ).

fof(f1343,plain,
    ( ! [X0] :
        ( sK40(X0) = app(sK40(X0),nil)
        | sP8(X0) )
    | ~ spl69_52
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f891]) ).

fof(f5482,plain,
    ( spl69_534
    | ~ spl69_51
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1342,f1280,f886,f5480]) ).

fof(f5480,plain,
    ( spl69_534
  <=> ! [X0] :
        ( sK39(X0) = app(sK39(X0),nil)
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_534])]) ).

fof(f1342,plain,
    ( ! [X0] :
        ( sK39(X0) = app(sK39(X0),nil)
        | sP8(X0) )
    | ~ spl69_51
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f887]) ).

fof(f5478,plain,
    ( spl69_533
    | ~ spl69_50
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1341,f1280,f882,f5476]) ).

fof(f5476,plain,
    ( spl69_533
  <=> ! [X0] :
        ( sK38(X0) = app(sK38(X0),nil)
        | sP8(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_533])]) ).

fof(f1341,plain,
    ( ! [X0] :
        ( sK38(X0) = app(sK38(X0),nil)
        | sP8(X0) )
    | ~ spl69_50
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f883]) ).

fof(f5472,plain,
    ( spl69_532
    | ~ spl69_47
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1340,f1280,f870,f5470]) ).

fof(f5470,plain,
    ( spl69_532
  <=> ! [X0] :
        ( sK35(X0) = app(sK35(X0),nil)
        | sP6(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_532])]) ).

fof(f1340,plain,
    ( ! [X0] :
        ( sK35(X0) = app(sK35(X0),nil)
        | sP6(X0) )
    | ~ spl69_47
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f871]) ).

fof(f5468,plain,
    ( spl69_531
    | ~ spl69_46
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1339,f1280,f866,f5466]) ).

fof(f1339,plain,
    ( ! [X0] :
        ( sK34(X0) = app(sK34(X0),nil)
        | sP6(X0) )
    | ~ spl69_46
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f867]) ).

fof(f5464,plain,
    ( spl69_530
    | ~ spl69_45
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1338,f1280,f862,f5462]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( sK33(X0) = app(sK33(X0),nil)
        | sP6(X0) )
    | ~ spl69_45
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f863]) ).

fof(f5460,plain,
    ( spl69_529
    | ~ spl69_42
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1337,f1280,f850,f5458]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( sK30(X0) = app(sK30(X0),nil)
        | sP4(X0) )
    | ~ spl69_42
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f851]) ).

fof(f5456,plain,
    ( spl69_528
    | ~ spl69_41
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1336,f1280,f846,f5454]) ).

fof(f1336,plain,
    ( ! [X0] :
        ( sK29(X0) = app(sK29(X0),nil)
        | sP4(X0) )
    | ~ spl69_41
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f847]) ).

fof(f5373,plain,
    ( spl69_368
    | ~ spl69_23
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4309,f3555,f751,f4121]) ).

fof(f4121,plain,
    ( spl69_368
  <=> sP11(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_368])]) ).

fof(f4309,plain,
    ( sP11(sK25(sK20))
    | ~ spl69_23
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f752]) ).

fof(f5262,plain,
    ( spl69_379
    | ~ spl69_22
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4308,f3555,f747,f4167]) ).

fof(f4167,plain,
    ( spl69_379
  <=> sP9(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_379])]) ).

fof(f4308,plain,
    ( sP9(sK25(sK20))
    | ~ spl69_22
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f748]) ).

fof(f5224,plain,
    ( ~ spl69_14
    | spl69_527
    | ~ spl69_135
    | ~ spl69_166 ),
    inference(avatar_split_clause,[],[f1775,f1628,f1430,f5222,f711]) ).

fof(f1775,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | singletonP(cons(X0,nil))
        | ~ ssList(nil) )
    | ~ spl69_135
    | ~ spl69_166 ),
    inference(duplicate_literal_removal,[],[f1774]) ).

fof(f1774,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | singletonP(cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(nil) )
    | ~ spl69_135
    | ~ spl69_166 ),
    inference(resolution,[],[f1629,f1431]) ).

fof(f5220,plain,
    ( spl69_526
    | ~ spl69_14
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1743,f1618,f711,f5218]) ).

fof(f1743,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,nil)) = X0 )
    | ~ spl69_14
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f713]) ).

fof(f5216,plain,
    ( spl69_525
    | ~ spl69_14
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1713,f1614,f711,f5214]) ).

fof(f1713,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | nil = tl(cons(X0,nil)) )
    | ~ spl69_14
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f713]) ).

fof(f5212,plain,
    ( spl69_524
    | ~ spl69_26
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1495,f1434,f763,f5210]) ).

fof(f5210,plain,
    ( spl69_524
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP17(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_524])]) ).

fof(f1495,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP17(app(X1,X0)) )
    | ~ spl69_26
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f764]) ).

fof(f5208,plain,
    ( spl69_523
    | ~ spl69_25
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1494,f1434,f759,f5206]) ).

fof(f5206,plain,
    ( spl69_523
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP15(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_523])]) ).

fof(f1494,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP15(app(X1,X0)) )
    | ~ spl69_25
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f760]) ).

fof(f5204,plain,
    ( spl69_522
    | ~ spl69_24
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1493,f1434,f755,f5202]) ).

fof(f5202,plain,
    ( spl69_522
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP13(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_522])]) ).

fof(f1493,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP13(app(X1,X0)) )
    | ~ spl69_24
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f756]) ).

fof(f5200,plain,
    ( spl69_521
    | ~ spl69_23
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1492,f1434,f751,f5198]) ).

fof(f5198,plain,
    ( spl69_521
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP11(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_521])]) ).

fof(f1492,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP11(app(X1,X0)) )
    | ~ spl69_23
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f752]) ).

fof(f5196,plain,
    ( spl69_390
    | ~ spl69_21
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4307,f3555,f743,f4213]) ).

fof(f4213,plain,
    ( spl69_390
  <=> sP7(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_390])]) ).

fof(f4307,plain,
    ( sP7(sK25(sK20))
    | ~ spl69_21
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f744]) ).

fof(f5195,plain,
    ( spl69_520
    | ~ spl69_22
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1491,f1434,f747,f5193]) ).

fof(f5193,plain,
    ( spl69_520
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP9(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_520])]) ).

fof(f1491,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP9(app(X1,X0)) )
    | ~ spl69_22
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f748]) ).

fof(f5191,plain,
    ( spl69_519
    | ~ spl69_21
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1490,f1434,f743,f5189]) ).

fof(f5189,plain,
    ( spl69_519
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP7(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_519])]) ).

fof(f1490,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP7(app(X1,X0)) )
    | ~ spl69_21
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f744]) ).

fof(f5187,plain,
    ( spl69_518
    | ~ spl69_20
    | ~ spl69_136 ),
    inference(avatar_split_clause,[],[f1489,f1434,f739,f5185]) ).

fof(f5185,plain,
    ( spl69_518
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP5(app(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_518])]) ).

fof(f1489,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | sP5(app(X1,X0)) )
    | ~ spl69_20
    | ~ spl69_136 ),
    inference(resolution,[],[f1435,f740]) ).

fof(f5183,plain,
    ( spl69_517
    | ~ spl69_26
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1486,f1430,f763,f5181]) ).

fof(f5181,plain,
    ( spl69_517
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP17(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_517])]) ).

fof(f1486,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP17(cons(X0,X1)) )
    | ~ spl69_26
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f764]) ).

fof(f5179,plain,
    ( spl69_516
    | ~ spl69_25
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1485,f1430,f759,f5177]) ).

fof(f5177,plain,
    ( spl69_516
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP15(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_516])]) ).

fof(f1485,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP15(cons(X0,X1)) )
    | ~ spl69_25
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f760]) ).

fof(f5175,plain,
    ( spl69_515
    | ~ spl69_24
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1484,f1430,f755,f5173]) ).

fof(f5173,plain,
    ( spl69_515
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP13(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_515])]) ).

fof(f1484,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP13(cons(X0,X1)) )
    | ~ spl69_24
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f756]) ).

fof(f5171,plain,
    ( spl69_514
    | ~ spl69_23
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1483,f1430,f751,f5169]) ).

fof(f5169,plain,
    ( spl69_514
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP11(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_514])]) ).

fof(f1483,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP11(cons(X0,X1)) )
    | ~ spl69_23
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f752]) ).

fof(f5167,plain,
    ( spl69_513
    | ~ spl69_22
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1482,f1430,f747,f5165]) ).

fof(f5165,plain,
    ( spl69_513
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP9(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_513])]) ).

fof(f1482,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP9(cons(X0,X1)) )
    | ~ spl69_22
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f748]) ).

fof(f5163,plain,
    ( spl69_512
    | ~ spl69_21
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1481,f1430,f743,f5161]) ).

fof(f5161,plain,
    ( spl69_512
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP7(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_512])]) ).

fof(f1481,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP7(cons(X0,X1)) )
    | ~ spl69_21
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f744]) ).

fof(f5159,plain,
    ( spl69_511
    | ~ spl69_20
    | ~ spl69_135 ),
    inference(avatar_split_clause,[],[f1480,f1430,f739,f5157]) ).

fof(f5157,plain,
    ( spl69_511
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP5(cons(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_511])]) ).

fof(f1480,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sP5(cons(X0,X1)) )
    | ~ spl69_20
    | ~ spl69_135 ),
    inference(resolution,[],[f1431,f740]) ).

fof(f5153,plain,
    ( spl69_510
    | ~ spl69_26
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1465,f1412,f763,f5151]) ).

fof(f5151,plain,
    ( spl69_510
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_510])]) ).

fof(f1465,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(sK25(X0)) )
    | ~ spl69_26
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f764]) ).

fof(f5149,plain,
    ( spl69_509
    | ~ spl69_25
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1464,f1412,f759,f5147]) ).

fof(f5147,plain,
    ( spl69_509
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_509])]) ).

fof(f1464,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(sK25(X0)) )
    | ~ spl69_25
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f760]) ).

fof(f5145,plain,
    ( spl69_508
    | ~ spl69_24
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1463,f1412,f755,f5143]) ).

fof(f5143,plain,
    ( spl69_508
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_508])]) ).

fof(f1463,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(sK25(X0)) )
    | ~ spl69_24
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f756]) ).

fof(f5141,plain,
    ( spl69_507
    | ~ spl69_23
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1462,f1412,f751,f5139]) ).

fof(f5139,plain,
    ( spl69_507
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_507])]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(sK25(X0)) )
    | ~ spl69_23
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f752]) ).

fof(f5137,plain,
    ( spl69_506
    | ~ spl69_22
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1461,f1412,f747,f5135]) ).

fof(f5135,plain,
    ( spl69_506
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_506])]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(sK25(X0)) )
    | ~ spl69_22
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f748]) ).

fof(f5133,plain,
    ( spl69_505
    | ~ spl69_21
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1460,f1412,f743,f5131]) ).

fof(f5131,plain,
    ( spl69_505
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_505])]) ).

fof(f1460,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(sK25(X0)) )
    | ~ spl69_21
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f744]) ).

fof(f5129,plain,
    ( spl69_504
    | ~ spl69_20
    | ~ spl69_131 ),
    inference(avatar_split_clause,[],[f1459,f1412,f739,f5127]) ).

fof(f5127,plain,
    ( spl69_504
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(sK25(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_504])]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(sK25(X0)) )
    | ~ spl69_20
    | ~ spl69_131 ),
    inference(resolution,[],[f1413,f740]) ).

fof(f5125,plain,
    ( spl69_503
    | ~ spl69_26
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1456,f1404,f763,f5123]) ).

fof(f5123,plain,
    ( spl69_503
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_503])]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(tl(X0)) )
    | ~ spl69_26
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f764]) ).

fof(f5121,plain,
    ( spl69_502
    | ~ spl69_25
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1455,f1404,f759,f5119]) ).

fof(f5119,plain,
    ( spl69_502
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_502])]) ).

fof(f1455,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(tl(X0)) )
    | ~ spl69_25
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f760]) ).

fof(f5117,plain,
    ( spl69_501
    | ~ spl69_24
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1454,f1404,f755,f5115]) ).

fof(f5115,plain,
    ( spl69_501
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_501])]) ).

fof(f1454,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(tl(X0)) )
    | ~ spl69_24
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f756]) ).

fof(f5113,plain,
    ( spl69_324
    | ~ spl69_20
    | ~ spl69_305 ),
    inference(avatar_split_clause,[],[f4306,f3555,f739,f3936]) ).

fof(f3936,plain,
    ( spl69_324
  <=> sP5(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_324])]) ).

fof(f4306,plain,
    ( sP5(sK25(sK20))
    | ~ spl69_20
    | ~ spl69_305 ),
    inference(resolution,[],[f3557,f740]) ).

fof(f5112,plain,
    ( spl69_500
    | ~ spl69_23
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1453,f1404,f751,f5110]) ).

fof(f5110,plain,
    ( spl69_500
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_500])]) ).

fof(f1453,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(tl(X0)) )
    | ~ spl69_23
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f752]) ).

fof(f5108,plain,
    ( spl69_499
    | ~ spl69_22
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1452,f1404,f747,f5106]) ).

fof(f5106,plain,
    ( spl69_499
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_499])]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(tl(X0)) )
    | ~ spl69_22
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f748]) ).

fof(f5104,plain,
    ( spl69_498
    | ~ spl69_21
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1451,f1404,f743,f5102]) ).

fof(f5102,plain,
    ( spl69_498
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_498])]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(tl(X0)) )
    | ~ spl69_21
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f744]) ).

fof(f5100,plain,
    ( spl69_497
    | ~ spl69_20
    | ~ spl69_129 ),
    inference(avatar_split_clause,[],[f1450,f1404,f739,f5098]) ).

fof(f5098,plain,
    ( spl69_497
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(tl(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_497])]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(tl(X0)) )
    | ~ spl69_20
    | ~ spl69_129 ),
    inference(resolution,[],[f1405,f740]) ).

fof(f5096,plain,
    ( spl69_496
    | ~ spl69_26
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1445,f1392,f763,f5094]) ).

fof(f5094,plain,
    ( spl69_496
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_496])]) ).

fof(f1445,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP17(sK22(X0)) )
    | ~ spl69_26
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f764]) ).

fof(f5092,plain,
    ( spl69_495
    | ~ spl69_25
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1444,f1392,f759,f5090]) ).

fof(f5090,plain,
    ( spl69_495
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_495])]) ).

fof(f1444,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP15(sK22(X0)) )
    | ~ spl69_25
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f760]) ).

fof(f5088,plain,
    ( spl69_494
    | ~ spl69_24
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1443,f1392,f755,f5086]) ).

fof(f5086,plain,
    ( spl69_494
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_494])]) ).

fof(f1443,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP13(sK22(X0)) )
    | ~ spl69_24
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f756]) ).

fof(f5017,plain,
    ( ~ spl69_14
    | ~ spl69_244
    | ~ spl69_246
    | ~ spl69_489 ),
    inference(avatar_split_clause,[],[f5000,f4994,f2573,f2563,f711]) ).

fof(f4994,plain,
    ( spl69_489
  <=> ! [X0] :
        ( sK20 != app(app(X0,sK20),nil)
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_489])]) ).

fof(f5000,plain,
    ( ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_246
    | ~ spl69_489 ),
    inference(trivial_inequality_removal,[],[f4999]) ).

fof(f4999,plain,
    ( sK20 != sK20
    | ~ ssList(nil)
    | ~ spl69_244
    | ~ spl69_246
    | ~ spl69_489 ),
    inference(forward_demodulation,[],[f4998,f2565]) ).

fof(f4998,plain,
    ( sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | ~ spl69_246
    | ~ spl69_489 ),
    inference(duplicate_literal_removal,[],[f4997]) ).

fof(f4997,plain,
    ( sK20 != app(sK20,nil)
    | ~ ssList(nil)
    | sK20 != app(sK20,nil)
    | ~ spl69_246
    | ~ spl69_489 ),
    inference(superposition,[],[f4995,f2575]) ).

fof(f4995,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,sK20),nil)
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) )
    | ~ spl69_489 ),
    inference(avatar_component_clause,[],[f4994]) ).

fof(f5016,plain,
    ( spl69_493
    | ~ spl69_23
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1442,f1392,f751,f5014]) ).

fof(f5014,plain,
    ( spl69_493
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_493])]) ).

fof(f1442,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP11(sK22(X0)) )
    | ~ spl69_23
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f752]) ).

fof(f5012,plain,
    ( spl69_492
    | ~ spl69_22
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1441,f1392,f747,f5010]) ).

fof(f5010,plain,
    ( spl69_492
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_492])]) ).

fof(f1441,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP9(sK22(X0)) )
    | ~ spl69_22
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f748]) ).

fof(f5008,plain,
    ( spl69_491
    | ~ spl69_21
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1440,f1392,f743,f5006]) ).

fof(f5006,plain,
    ( spl69_491
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_491])]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP7(sK22(X0)) )
    | ~ spl69_21
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f744]) ).

fof(f5004,plain,
    ( spl69_490
    | ~ spl69_20
    | ~ spl69_126 ),
    inference(avatar_split_clause,[],[f1439,f1392,f739,f5002]) ).

fof(f5002,plain,
    ( spl69_490
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(sK22(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_490])]) ).

fof(f1439,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sP5(sK22(X0)) )
    | ~ spl69_20
    | ~ spl69_126 ),
    inference(resolution,[],[f1393,f740]) ).

fof(f4996,plain,
    ( spl69_489
    | ~ spl69_288
    | ~ spl69_320
    | ~ spl69_488 ),
    inference(avatar_split_clause,[],[f4992,f4988,f3907,f3338,f4994]) ).

fof(f4992,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,sK20),nil)
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) )
    | ~ spl69_288
    | ~ spl69_320
    | ~ spl69_488 ),
    inference(forward_demodulation,[],[f4991,f3913]) ).

fof(f3913,plain,
    ( sK20 = cons(sK24(sK20),nil)
    | ~ spl69_288
    | ~ spl69_320 ),
    inference(superposition,[],[f3340,f3909]) ).

fof(f3909,plain,
    ( nil = sK25(sK20)
    | ~ spl69_320 ),
    inference(avatar_component_clause,[],[f3907]) ).

fof(f4991,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,cons(sK24(sK20),nil)),nil)
        | ~ ssList(X0)
        | sK20 != app(sK20,X0) )
    | ~ spl69_320
    | ~ spl69_488 ),
    inference(forward_demodulation,[],[f4989,f3909]) ).

fof(f4990,plain,
    ( ~ spl69_297
    | ~ spl69_305
    | spl69_488
    | ~ spl69_4
    | ~ spl69_82
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3152,f3124,f1157,f662,f4988,f3555,f3444]) ).

fof(f3152,plain,
    ( ! [X0] :
        ( sK20 != app(app(X0,cons(sK24(sK20),nil)),sK25(sK20))
        | sK20 != app(sK20,X0)
        | ~ ssList(sK25(sK20))
        | ~ ssList(X0)
        | ~ ssItem(sK24(sK20)) )
    | ~ spl69_4
    | ~ spl69_82
    | ~ spl69_275 ),
    inference(forward_demodulation,[],[f3128,f664]) ).

fof(f4952,plain,
    ( spl69_487
    | ~ spl69_486
    | ~ spl69_102
    | ~ spl69_105 ),
    inference(avatar_split_clause,[],[f1740,f1251,f1239,f4922,f4926]) ).

fof(f1251,plain,
    ( spl69_105
  <=> sP15(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_105])]) ).

fof(f1740,plain,
    ( ~ totalorderedP(sK21)
    | sP14(sK21)
    | ~ spl69_102
    | ~ spl69_105 ),
    inference(resolution,[],[f1253,f1240]) ).

fof(f1253,plain,
    ( sP15(sK21)
    | ~ spl69_105 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f4929,plain,
    ( spl69_486
    | ~ spl69_487
    | ~ spl69_103
    | ~ spl69_105 ),
    inference(avatar_split_clause,[],[f1739,f1251,f1243,f4926,f4922]) ).

fof(f1739,plain,
    ( ~ sP14(sK21)
    | totalorderedP(sK21)
    | ~ spl69_103
    | ~ spl69_105 ),
    inference(resolution,[],[f1253,f1244]) ).

fof(f4859,plain,
    ( spl69_484
    | ~ spl69_485
    | ~ spl69_94
    | ~ spl69_103 ),
    inference(avatar_split_clause,[],[f1642,f1243,f1206,f4856,f4852]) ).

fof(f1206,plain,
    ( spl69_94
  <=> sP15(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_94])]) ).

fof(f1642,plain,
    ( ~ sP14(sK20)
    | totalorderedP(sK20)
    | ~ spl69_94
    | ~ spl69_103 ),
    inference(resolution,[],[f1208,f1244]) ).

fof(f1208,plain,
    ( sP15(sK20)
    | ~ spl69_94 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f4830,plain,
    ( spl69_483
    | ~ spl69_482
    | ~ spl69_83
    | ~ spl69_100 ),
    inference(avatar_split_clause,[],[f1622,f1231,f1161,f4800,f4804]) ).

fof(f1161,plain,
    ( spl69_83
  <=> sP13(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_83])]) ).

fof(f1622,plain,
    ( ~ cyclefreeP(sK21)
    | sP12(sK21)
    | ~ spl69_83
    | ~ spl69_100 ),
    inference(resolution,[],[f1163,f1232]) ).

fof(f1163,plain,
    ( sP13(sK21)
    | ~ spl69_83 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f4807,plain,
    ( spl69_482
    | ~ spl69_483
    | ~ spl69_83
    | ~ spl69_101 ),
    inference(avatar_split_clause,[],[f1621,f1235,f1161,f4804,f4800]) ).

fof(f1621,plain,
    ( ~ sP12(sK21)
    | cyclefreeP(sK21)
    | ~ spl69_83
    | ~ spl69_101 ),
    inference(resolution,[],[f1163,f1236]) ).

fof(f4757,plain,
    ( spl69_250
    | ~ spl69_481
    | ~ spl69_81
    | ~ spl69_101 ),
    inference(avatar_split_clause,[],[f1579,f1235,f1124,f4754,f2714]) ).

fof(f2714,plain,
    ( spl69_250
  <=> cyclefreeP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_250])]) ).

fof(f1124,plain,
    ( spl69_81
  <=> sP13(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_81])]) ).

fof(f1579,plain,
    ( ~ sP12(sK20)
    | cyclefreeP(sK20)
    | ~ spl69_81
    | ~ spl69_101 ),
    inference(resolution,[],[f1126,f1236]) ).

fof(f1126,plain,
    ( sP13(sK20)
    | ~ spl69_81 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f4732,plain,
    ( spl69_480
    | ~ spl69_479
    | ~ spl69_80
    | ~ spl69_98 ),
    inference(avatar_split_clause,[],[f1542,f1223,f1077,f4702,f4706]) ).

fof(f1077,plain,
    ( spl69_80
  <=> sP11(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_80])]) ).

fof(f1542,plain,
    ( ~ strictorderP(sK21)
    | sP10(sK21)
    | ~ spl69_80
    | ~ spl69_98 ),
    inference(resolution,[],[f1079,f1224]) ).

fof(f1079,plain,
    ( sP11(sK21)
    | ~ spl69_80 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f4709,plain,
    ( spl69_479
    | ~ spl69_480
    | ~ spl69_80
    | ~ spl69_99 ),
    inference(avatar_split_clause,[],[f1541,f1227,f1077,f4706,f4702]) ).

fof(f1541,plain,
    ( ~ sP10(sK21)
    | strictorderP(sK21)
    | ~ spl69_80
    | ~ spl69_99 ),
    inference(resolution,[],[f1079,f1228]) ).

fof(f4639,plain,
    ( spl69_477
    | ~ spl69_478
    | ~ spl69_79
    | ~ spl69_99 ),
    inference(avatar_split_clause,[],[f1524,f1227,f1030,f4636,f4632]) ).

fof(f1030,plain,
    ( spl69_79
  <=> sP11(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_79])]) ).

fof(f1524,plain,
    ( ~ sP10(sK20)
    | strictorderP(sK20)
    | ~ spl69_79
    | ~ spl69_99 ),
    inference(resolution,[],[f1032,f1228]) ).

fof(f1032,plain,
    ( sP11(sK20)
    | ~ spl69_79 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f4614,plain,
    ( spl69_476
    | ~ spl69_14
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1333,f1280,f711,f4611]) ).

fof(f4611,plain,
    ( spl69_476
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_476])]) ).

fof(f1333,plain,
    ( nil = app(nil,nil)
    | ~ spl69_14
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f713]) ).

fof(f4609,plain,
    ( spl69_475
    | ~ spl69_26
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1155,f980,f763,f4607]) ).

fof(f4607,plain,
    ( spl69_475
  <=> ! [X0] :
        ( sP16(X0)
        | sP17(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_475])]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP17(sK60(X0)) )
    | ~ spl69_26
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f764]) ).

fof(f4605,plain,
    ( spl69_464
    | ~ spl69_463
    | ~ spl69_78
    | ~ spl69_96 ),
    inference(avatar_split_clause,[],[f1449,f1215,f997,f4555,f4559]) ).

fof(f997,plain,
    ( spl69_78
  <=> sP9(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_78])]) ).

fof(f1449,plain,
    ( ~ totalorderP(sK21)
    | sP8(sK21)
    | ~ spl69_78
    | ~ spl69_96 ),
    inference(resolution,[],[f999,f1216]) ).

fof(f999,plain,
    ( sP9(sK21)
    | ~ spl69_78 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f4604,plain,
    ( spl69_474
    | ~ spl69_25
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1154,f980,f759,f4602]) ).

fof(f4602,plain,
    ( spl69_474
  <=> ! [X0] :
        ( sP16(X0)
        | sP15(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_474])]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP15(sK60(X0)) )
    | ~ spl69_25
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f760]) ).

fof(f4600,plain,
    ( spl69_473
    | ~ spl69_24
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1153,f980,f755,f4598]) ).

fof(f4598,plain,
    ( spl69_473
  <=> ! [X0] :
        ( sP16(X0)
        | sP13(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_473])]) ).

fof(f1153,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP13(sK60(X0)) )
    | ~ spl69_24
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f756]) ).

fof(f4596,plain,
    ( spl69_472
    | ~ spl69_23
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1152,f980,f751,f4594]) ).

fof(f4594,plain,
    ( spl69_472
  <=> ! [X0] :
        ( sP16(X0)
        | sP11(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_472])]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP11(sK60(X0)) )
    | ~ spl69_23
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f752]) ).

fof(f4592,plain,
    ( spl69_471
    | ~ spl69_22
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1151,f980,f747,f4590]) ).

fof(f4590,plain,
    ( spl69_471
  <=> ! [X0] :
        ( sP16(X0)
        | sP9(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_471])]) ).

fof(f1151,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP9(sK60(X0)) )
    | ~ spl69_22
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f748]) ).

fof(f4588,plain,
    ( spl69_470
    | ~ spl69_21
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1150,f980,f743,f4586]) ).

fof(f4586,plain,
    ( spl69_470
  <=> ! [X0] :
        ( sP16(X0)
        | sP7(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_470])]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP7(sK60(X0)) )
    | ~ spl69_21
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f744]) ).

fof(f4584,plain,
    ( spl69_469
    | ~ spl69_20
    | ~ spl69_74 ),
    inference(avatar_split_clause,[],[f1149,f980,f739,f4582]) ).

fof(f4582,plain,
    ( spl69_469
  <=> ! [X0] :
        ( sP16(X0)
        | sP5(sK60(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_469])]) ).

fof(f1149,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP5(sK60(X0)) )
    | ~ spl69_20
    | ~ spl69_74 ),
    inference(resolution,[],[f981,f740]) ).

fof(f4580,plain,
    ( spl69_468
    | ~ spl69_26
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1148,f976,f763,f4578]) ).

fof(f4578,plain,
    ( spl69_468
  <=> ! [X0] :
        ( sP16(X0)
        | sP17(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_468])]) ).

fof(f1148,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP17(sK59(X0)) )
    | ~ spl69_26
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f764]) ).

fof(f4576,plain,
    ( spl69_467
    | ~ spl69_25
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1147,f976,f759,f4574]) ).

fof(f4574,plain,
    ( spl69_467
  <=> ! [X0] :
        ( sP16(X0)
        | sP15(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_467])]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP15(sK59(X0)) )
    | ~ spl69_25
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f760]) ).

fof(f4572,plain,
    ( spl69_466
    | ~ spl69_24
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1146,f976,f755,f4570]) ).

fof(f4570,plain,
    ( spl69_466
  <=> ! [X0] :
        ( sP16(X0)
        | sP13(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_466])]) ).

fof(f1146,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP13(sK59(X0)) )
    | ~ spl69_24
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f756]) ).

fof(f4568,plain,
    ( spl69_465
    | ~ spl69_23
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1145,f976,f751,f4566]) ).

fof(f4566,plain,
    ( spl69_465
  <=> ! [X0] :
        ( sP16(X0)
        | sP11(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_465])]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP11(sK59(X0)) )
    | ~ spl69_23
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f752]) ).

fof(f4562,plain,
    ( spl69_463
    | ~ spl69_464
    | ~ spl69_78
    | ~ spl69_97 ),
    inference(avatar_split_clause,[],[f1448,f1219,f997,f4559,f4555]) ).

fof(f1448,plain,
    ( ~ sP8(sK21)
    | totalorderP(sK21)
    | ~ spl69_78
    | ~ spl69_97 ),
    inference(resolution,[],[f999,f1220]) ).

fof(f4553,plain,
    ( spl69_462
    | ~ spl69_22
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1144,f976,f747,f4551]) ).

fof(f4551,plain,
    ( spl69_462
  <=> ! [X0] :
        ( sP16(X0)
        | sP9(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_462])]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP9(sK59(X0)) )
    | ~ spl69_22
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f748]) ).

fof(f4549,plain,
    ( spl69_461
    | ~ spl69_21
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1143,f976,f743,f4547]) ).

fof(f4547,plain,
    ( spl69_461
  <=> ! [X0] :
        ( sP16(X0)
        | sP7(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_461])]) ).

fof(f1143,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP7(sK59(X0)) )
    | ~ spl69_21
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f744]) ).

fof(f4545,plain,
    ( spl69_460
    | ~ spl69_20
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1142,f976,f739,f4543]) ).

fof(f4543,plain,
    ( spl69_460
  <=> ! [X0] :
        ( sP16(X0)
        | sP5(sK59(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_460])]) ).

fof(f1142,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP5(sK59(X0)) )
    | ~ spl69_20
    | ~ spl69_73 ),
    inference(resolution,[],[f977,f740]) ).

fof(f4541,plain,
    ( spl69_459
    | ~ spl69_26
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1141,f972,f763,f4539]) ).

fof(f4539,plain,
    ( spl69_459
  <=> ! [X0] :
        ( sP16(X0)
        | sP17(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_459])]) ).

fof(f1141,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP17(sK58(X0)) )
    | ~ spl69_26
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f764]) ).

fof(f4537,plain,
    ( spl69_458
    | ~ spl69_25
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1140,f972,f759,f4535]) ).

fof(f4535,plain,
    ( spl69_458
  <=> ! [X0] :
        ( sP16(X0)
        | sP15(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_458])]) ).

fof(f1140,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP15(sK58(X0)) )
    | ~ spl69_25
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f760]) ).

fof(f4533,plain,
    ( spl69_457
    | ~ spl69_24
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1139,f972,f755,f4531]) ).

fof(f4531,plain,
    ( spl69_457
  <=> ! [X0] :
        ( sP16(X0)
        | sP13(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_457])]) ).

fof(f1139,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP13(sK58(X0)) )
    | ~ spl69_24
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f756]) ).

fof(f4529,plain,
    ( spl69_456
    | ~ spl69_23
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1138,f972,f751,f4527]) ).

fof(f4527,plain,
    ( spl69_456
  <=> ! [X0] :
        ( sP16(X0)
        | sP11(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_456])]) ).

fof(f1138,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP11(sK58(X0)) )
    | ~ spl69_23
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f752]) ).

fof(f4525,plain,
    ( spl69_455
    | ~ spl69_22
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1137,f972,f747,f4523]) ).

fof(f4523,plain,
    ( spl69_455
  <=> ! [X0] :
        ( sP16(X0)
        | sP9(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_455])]) ).

fof(f1137,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP9(sK58(X0)) )
    | ~ spl69_22
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f748]) ).

fof(f4521,plain,
    ( spl69_454
    | ~ spl69_21
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1136,f972,f743,f4519]) ).

fof(f4519,plain,
    ( spl69_454
  <=> ! [X0] :
        ( sP16(X0)
        | sP7(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_454])]) ).

fof(f1136,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP7(sK58(X0)) )
    | ~ spl69_21
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f744]) ).

fof(f4517,plain,
    ( spl69_453
    | ~ spl69_20
    | ~ spl69_72 ),
    inference(avatar_split_clause,[],[f1135,f972,f739,f4515]) ).

fof(f4515,plain,
    ( spl69_453
  <=> ! [X0] :
        ( sP16(X0)
        | sP5(sK58(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_453])]) ).

fof(f1135,plain,
    ( ! [X0] :
        ( sP16(X0)
        | sP5(sK58(X0)) )
    | ~ spl69_20
    | ~ spl69_72 ),
    inference(resolution,[],[f973,f740]) ).

fof(f4512,plain,
    ( spl69_452
    | ~ spl69_26
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1134,f960,f763,f4510]) ).

fof(f4510,plain,
    ( spl69_452
  <=> ! [X0] :
        ( sP14(X0)
        | sP17(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_452])]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP17(sK55(X0)) )
    | ~ spl69_26
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f764]) ).

fof(f4508,plain,
    ( spl69_451
    | ~ spl69_25
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1133,f960,f759,f4506]) ).

fof(f4506,plain,
    ( spl69_451
  <=> ! [X0] :
        ( sP14(X0)
        | sP15(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_451])]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP15(sK55(X0)) )
    | ~ spl69_25
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f760]) ).

fof(f4504,plain,
    ( spl69_450
    | ~ spl69_24
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1132,f960,f755,f4502]) ).

fof(f4502,plain,
    ( spl69_450
  <=> ! [X0] :
        ( sP14(X0)
        | sP13(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_450])]) ).

fof(f1132,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP13(sK55(X0)) )
    | ~ spl69_24
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f756]) ).

fof(f4500,plain,
    ( spl69_449
    | ~ spl69_23
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1131,f960,f751,f4498]) ).

fof(f4498,plain,
    ( spl69_449
  <=> ! [X0] :
        ( sP14(X0)
        | sP11(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_449])]) ).

fof(f1131,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP11(sK55(X0)) )
    | ~ spl69_23
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f752]) ).

fof(f4496,plain,
    ( spl69_448
    | ~ spl69_22
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1130,f960,f747,f4494]) ).

fof(f4494,plain,
    ( spl69_448
  <=> ! [X0] :
        ( sP14(X0)
        | sP9(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_448])]) ).

fof(f1130,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP9(sK55(X0)) )
    | ~ spl69_22
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f748]) ).

fof(f4492,plain,
    ( spl69_447
    | ~ spl69_21
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1129,f960,f743,f4490]) ).

fof(f4490,plain,
    ( spl69_447
  <=> ! [X0] :
        ( sP14(X0)
        | sP7(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_447])]) ).

fof(f1129,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP7(sK55(X0)) )
    | ~ spl69_21
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f744]) ).

fof(f4488,plain,
    ( spl69_446
    | ~ spl69_20
    | ~ spl69_69 ),
    inference(avatar_split_clause,[],[f1128,f960,f739,f4486]) ).

fof(f4486,plain,
    ( spl69_446
  <=> ! [X0] :
        ( sP14(X0)
        | sP5(sK55(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_446])]) ).

fof(f1128,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP5(sK55(X0)) )
    | ~ spl69_20
    | ~ spl69_69 ),
    inference(resolution,[],[f961,f740]) ).

fof(f4484,plain,
    ( spl69_445
    | ~ spl69_26
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1122,f956,f763,f4482]) ).

fof(f4482,plain,
    ( spl69_445
  <=> ! [X0] :
        ( sP14(X0)
        | sP17(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_445])]) ).

fof(f1122,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP17(sK54(X0)) )
    | ~ spl69_26
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f764]) ).

fof(f4480,plain,
    ( spl69_444
    | ~ spl69_25
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1121,f956,f759,f4478]) ).

fof(f4478,plain,
    ( spl69_444
  <=> ! [X0] :
        ( sP14(X0)
        | sP15(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_444])]) ).

fof(f1121,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP15(sK54(X0)) )
    | ~ spl69_25
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f760]) ).

fof(f4476,plain,
    ( spl69_443
    | ~ spl69_24
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1120,f956,f755,f4474]) ).

fof(f4474,plain,
    ( spl69_443
  <=> ! [X0] :
        ( sP14(X0)
        | sP13(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_443])]) ).

fof(f1120,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP13(sK54(X0)) )
    | ~ spl69_24
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f756]) ).

fof(f4472,plain,
    ( spl69_442
    | ~ spl69_23
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1119,f956,f751,f4470]) ).

fof(f4470,plain,
    ( spl69_442
  <=> ! [X0] :
        ( sP14(X0)
        | sP11(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_442])]) ).

fof(f1119,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP11(sK54(X0)) )
    | ~ spl69_23
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f752]) ).

fof(f4468,plain,
    ( spl69_441
    | ~ spl69_22
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1118,f956,f747,f4466]) ).

fof(f4466,plain,
    ( spl69_441
  <=> ! [X0] :
        ( sP14(X0)
        | sP9(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_441])]) ).

fof(f1118,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP9(sK54(X0)) )
    | ~ spl69_22
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f748]) ).

fof(f4464,plain,
    ( spl69_440
    | ~ spl69_21
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1117,f956,f743,f4462]) ).

fof(f4462,plain,
    ( spl69_440
  <=> ! [X0] :
        ( sP14(X0)
        | sP7(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_440])]) ).

fof(f1117,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP7(sK54(X0)) )
    | ~ spl69_21
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f744]) ).

fof(f4460,plain,
    ( spl69_439
    | ~ spl69_20
    | ~ spl69_68 ),
    inference(avatar_split_clause,[],[f1116,f956,f739,f4458]) ).

fof(f4458,plain,
    ( spl69_439
  <=> ! [X0] :
        ( sP14(X0)
        | sP5(sK54(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_439])]) ).

fof(f1116,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP5(sK54(X0)) )
    | ~ spl69_20
    | ~ spl69_68 ),
    inference(resolution,[],[f957,f740]) ).

fof(f4456,plain,
    ( spl69_438
    | ~ spl69_26
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1115,f952,f763,f4454]) ).

fof(f4454,plain,
    ( spl69_438
  <=> ! [X0] :
        ( sP14(X0)
        | sP17(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_438])]) ).

fof(f1115,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP17(sK53(X0)) )
    | ~ spl69_26
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f764]) ).

fof(f4452,plain,
    ( spl69_437
    | ~ spl69_25
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1114,f952,f759,f4450]) ).

fof(f4450,plain,
    ( spl69_437
  <=> ! [X0] :
        ( sP14(X0)
        | sP15(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_437])]) ).

fof(f1114,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP15(sK53(X0)) )
    | ~ spl69_25
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f760]) ).

fof(f4448,plain,
    ( spl69_436
    | ~ spl69_24
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1113,f952,f755,f4446]) ).

fof(f4446,plain,
    ( spl69_436
  <=> ! [X0] :
        ( sP14(X0)
        | sP13(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_436])]) ).

fof(f1113,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP13(sK53(X0)) )
    | ~ spl69_24
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f756]) ).

fof(f4444,plain,
    ( spl69_435
    | ~ spl69_23
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1112,f952,f751,f4442]) ).

fof(f4442,plain,
    ( spl69_435
  <=> ! [X0] :
        ( sP14(X0)
        | sP11(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_435])]) ).

fof(f1112,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP11(sK53(X0)) )
    | ~ spl69_23
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f752]) ).

fof(f4440,plain,
    ( spl69_434
    | ~ spl69_22
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1111,f952,f747,f4438]) ).

fof(f4438,plain,
    ( spl69_434
  <=> ! [X0] :
        ( sP14(X0)
        | sP9(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_434])]) ).

fof(f1111,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP9(sK53(X0)) )
    | ~ spl69_22
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f748]) ).

fof(f4436,plain,
    ( spl69_433
    | ~ spl69_21
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1110,f952,f743,f4434]) ).

fof(f4434,plain,
    ( spl69_433
  <=> ! [X0] :
        ( sP14(X0)
        | sP7(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_433])]) ).

fof(f1110,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP7(sK53(X0)) )
    | ~ spl69_21
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f744]) ).

fof(f4432,plain,
    ( spl69_431
    | ~ spl69_432
    | ~ spl69_75
    | ~ spl69_97 ),
    inference(avatar_split_clause,[],[f1415,f1219,f984,f4429,f4425]) ).

fof(f984,plain,
    ( spl69_75
  <=> sP9(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_75])]) ).

fof(f1415,plain,
    ( ~ sP8(sK20)
    | totalorderP(sK20)
    | ~ spl69_75
    | ~ spl69_97 ),
    inference(resolution,[],[f986,f1220]) ).

fof(f986,plain,
    ( sP9(sK20)
    | ~ spl69_75 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f4423,plain,
    ( spl69_430
    | ~ spl69_20
    | ~ spl69_67 ),
    inference(avatar_split_clause,[],[f1109,f952,f739,f4421]) ).

fof(f4421,plain,
    ( spl69_430
  <=> ! [X0] :
        ( sP14(X0)
        | sP5(sK53(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_430])]) ).

fof(f1109,plain,
    ( ! [X0] :
        ( sP14(X0)
        | sP5(sK53(X0)) )
    | ~ spl69_20
    | ~ spl69_67 ),
    inference(resolution,[],[f953,f740]) ).

fof(f4419,plain,
    ( spl69_429
    | ~ spl69_26
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1108,f935,f763,f4417]) ).

fof(f4417,plain,
    ( spl69_429
  <=> ! [X0] :
        ( sP12(X0)
        | sP17(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_429])]) ).

fof(f1108,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP17(sK50(X0)) )
    | ~ spl69_26
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f764]) ).

fof(f4415,plain,
    ( spl69_428
    | ~ spl69_25
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1107,f935,f759,f4413]) ).

fof(f4413,plain,
    ( spl69_428
  <=> ! [X0] :
        ( sP12(X0)
        | sP15(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_428])]) ).

fof(f1107,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP15(sK50(X0)) )
    | ~ spl69_25
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f760]) ).

fof(f4411,plain,
    ( spl69_427
    | ~ spl69_24
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1106,f935,f755,f4409]) ).

fof(f4409,plain,
    ( spl69_427
  <=> ! [X0] :
        ( sP12(X0)
        | sP13(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_427])]) ).

fof(f1106,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP13(sK50(X0)) )
    | ~ spl69_24
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f756]) ).

fof(f4407,plain,
    ( spl69_426
    | ~ spl69_23
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1105,f935,f751,f4405]) ).

fof(f4405,plain,
    ( spl69_426
  <=> ! [X0] :
        ( sP12(X0)
        | sP11(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_426])]) ).

fof(f1105,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP11(sK50(X0)) )
    | ~ spl69_23
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f752]) ).

fof(f4403,plain,
    ( spl69_425
    | ~ spl69_22
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1104,f935,f747,f4401]) ).

fof(f4401,plain,
    ( spl69_425
  <=> ! [X0] :
        ( sP12(X0)
        | sP9(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_425])]) ).

fof(f1104,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP9(sK50(X0)) )
    | ~ spl69_22
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f748]) ).

fof(f4399,plain,
    ( spl69_424
    | ~ spl69_21
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1103,f935,f743,f4397]) ).

fof(f4397,plain,
    ( spl69_424
  <=> ! [X0] :
        ( sP12(X0)
        | sP7(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_424])]) ).

fof(f1103,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP7(sK50(X0)) )
    | ~ spl69_21
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f744]) ).

fof(f4395,plain,
    ( spl69_423
    | ~ spl69_20
    | ~ spl69_63 ),
    inference(avatar_split_clause,[],[f1102,f935,f739,f4393]) ).

fof(f4393,plain,
    ( spl69_423
  <=> ! [X0] :
        ( sP12(X0)
        | sP5(sK50(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_423])]) ).

fof(f1102,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP5(sK50(X0)) )
    | ~ spl69_20
    | ~ spl69_63 ),
    inference(resolution,[],[f936,f740]) ).

fof(f4391,plain,
    ( spl69_422
    | ~ spl69_26
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1101,f931,f763,f4389]) ).

fof(f4389,plain,
    ( spl69_422
  <=> ! [X0] :
        ( sP12(X0)
        | sP17(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_422])]) ).

fof(f1101,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP17(sK49(X0)) )
    | ~ spl69_26
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f764]) ).

fof(f4387,plain,
    ( spl69_421
    | ~ spl69_25
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1100,f931,f759,f4385]) ).

fof(f4385,plain,
    ( spl69_421
  <=> ! [X0] :
        ( sP12(X0)
        | sP15(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_421])]) ).

fof(f1100,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP15(sK49(X0)) )
    | ~ spl69_25
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f760]) ).

fof(f4382,plain,
    ( ~ spl69_312
    | spl69_311
    | ~ spl69_320 ),
    inference(avatar_split_clause,[],[f3917,f3907,f3674,f3680]) ).

fof(f3680,plain,
    ( spl69_312
  <=> frontsegP(sK20,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_312])]) ).

fof(f3674,plain,
    ( spl69_311
  <=> frontsegP(sK20,sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_311])]) ).

fof(f3917,plain,
    ( ~ frontsegP(sK20,nil)
    | spl69_311
    | ~ spl69_320 ),
    inference(superposition,[],[f3675,f3909]) ).

fof(f3675,plain,
    ( ~ frontsegP(sK20,sK25(sK20))
    | spl69_311 ),
    inference(avatar_component_clause,[],[f3674]) ).

fof(f4381,plain,
    ( spl69_420
    | ~ spl69_24
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1099,f931,f755,f4379]) ).

fof(f4379,plain,
    ( spl69_420
  <=> ! [X0] :
        ( sP12(X0)
        | sP13(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_420])]) ).

fof(f1099,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP13(sK49(X0)) )
    | ~ spl69_24
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f756]) ).

fof(f4377,plain,
    ( spl69_419
    | ~ spl69_23
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1098,f931,f751,f4375]) ).

fof(f4375,plain,
    ( spl69_419
  <=> ! [X0] :
        ( sP12(X0)
        | sP11(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_419])]) ).

fof(f1098,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP11(sK49(X0)) )
    | ~ spl69_23
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f752]) ).

fof(f4373,plain,
    ( spl69_418
    | ~ spl69_22
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1097,f931,f747,f4371]) ).

fof(f4371,plain,
    ( spl69_418
  <=> ! [X0] :
        ( sP12(X0)
        | sP9(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_418])]) ).

fof(f1097,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP9(sK49(X0)) )
    | ~ spl69_22
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f748]) ).

fof(f4369,plain,
    ( spl69_417
    | ~ spl69_21
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1096,f931,f743,f4367]) ).

fof(f4367,plain,
    ( spl69_417
  <=> ! [X0] :
        ( sP12(X0)
        | sP7(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_417])]) ).

fof(f1096,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP7(sK49(X0)) )
    | ~ spl69_21
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f744]) ).

fof(f4365,plain,
    ( spl69_416
    | ~ spl69_20
    | ~ spl69_62 ),
    inference(avatar_split_clause,[],[f1095,f931,f739,f4363]) ).

fof(f4363,plain,
    ( spl69_416
  <=> ! [X0] :
        ( sP12(X0)
        | sP5(sK49(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_416])]) ).

fof(f1095,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP5(sK49(X0)) )
    | ~ spl69_20
    | ~ spl69_62 ),
    inference(resolution,[],[f932,f740]) ).

fof(f4361,plain,
    ( spl69_415
    | ~ spl69_26
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1094,f927,f763,f4359]) ).

fof(f4359,plain,
    ( spl69_415
  <=> ! [X0] :
        ( sP12(X0)
        | sP17(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_415])]) ).

fof(f1094,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP17(sK48(X0)) )
    | ~ spl69_26
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f764]) ).

fof(f4357,plain,
    ( spl69_414
    | ~ spl69_25
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1093,f927,f759,f4355]) ).

fof(f4355,plain,
    ( spl69_414
  <=> ! [X0] :
        ( sP12(X0)
        | sP15(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_414])]) ).

fof(f1093,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP15(sK48(X0)) )
    | ~ spl69_25
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f760]) ).

fof(f4353,plain,
    ( spl69_413
    | ~ spl69_24
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1092,f927,f755,f4351]) ).

fof(f4351,plain,
    ( spl69_413
  <=> ! [X0] :
        ( sP12(X0)
        | sP13(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_413])]) ).

fof(f1092,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP13(sK48(X0)) )
    | ~ spl69_24
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f756]) ).

fof(f4349,plain,
    ( spl69_412
    | ~ spl69_23
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1091,f927,f751,f4347]) ).

fof(f4347,plain,
    ( spl69_412
  <=> ! [X0] :
        ( sP12(X0)
        | sP11(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_412])]) ).

fof(f1091,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP11(sK48(X0)) )
    | ~ spl69_23
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f752]) ).

fof(f4345,plain,
    ( spl69_411
    | ~ spl69_22
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1090,f927,f747,f4343]) ).

fof(f4343,plain,
    ( spl69_411
  <=> ! [X0] :
        ( sP12(X0)
        | sP9(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_411])]) ).

fof(f1090,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP9(sK48(X0)) )
    | ~ spl69_22
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f748]) ).

fof(f4305,plain,
    ( spl69_410
    | ~ spl69_21
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1089,f927,f743,f4303]) ).

fof(f4303,plain,
    ( spl69_410
  <=> ! [X0] :
        ( sP12(X0)
        | sP7(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_410])]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP7(sK48(X0)) )
    | ~ spl69_21
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f744]) ).

fof(f4301,plain,
    ( spl69_409
    | ~ spl69_20
    | ~ spl69_61 ),
    inference(avatar_split_clause,[],[f1088,f927,f739,f4299]) ).

fof(f4299,plain,
    ( spl69_409
  <=> ! [X0] :
        ( sP12(X0)
        | sP5(sK48(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_409])]) ).

fof(f1088,plain,
    ( ! [X0] :
        ( sP12(X0)
        | sP5(sK48(X0)) )
    | ~ spl69_20
    | ~ spl69_61 ),
    inference(resolution,[],[f928,f740]) ).

fof(f4297,plain,
    ( spl69_408
    | ~ spl69_26
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1087,f915,f763,f4295]) ).

fof(f4295,plain,
    ( spl69_408
  <=> ! [X0] :
        ( sP10(X0)
        | sP17(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_408])]) ).

fof(f1087,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP17(sK45(X0)) )
    | ~ spl69_26
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f764]) ).

fof(f4293,plain,
    ( spl69_407
    | ~ spl69_25
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1086,f915,f759,f4291]) ).

fof(f4291,plain,
    ( spl69_407
  <=> ! [X0] :
        ( sP10(X0)
        | sP15(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_407])]) ).

fof(f1086,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP15(sK45(X0)) )
    | ~ spl69_25
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f760]) ).

fof(f4289,plain,
    ( spl69_406
    | ~ spl69_24
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1085,f915,f755,f4287]) ).

fof(f4287,plain,
    ( spl69_406
  <=> ! [X0] :
        ( sP10(X0)
        | sP13(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_406])]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP13(sK45(X0)) )
    | ~ spl69_24
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f756]) ).

fof(f4285,plain,
    ( spl69_405
    | ~ spl69_23
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1084,f915,f751,f4283]) ).

fof(f4283,plain,
    ( spl69_405
  <=> ! [X0] :
        ( sP10(X0)
        | sP11(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_405])]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP11(sK45(X0)) )
    | ~ spl69_23
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f752]) ).

fof(f4281,plain,
    ( spl69_404
    | ~ spl69_22
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1083,f915,f747,f4279]) ).

fof(f4279,plain,
    ( spl69_404
  <=> ! [X0] :
        ( sP10(X0)
        | sP9(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_404])]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP9(sK45(X0)) )
    | ~ spl69_22
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f748]) ).

fof(f4277,plain,
    ( spl69_403
    | ~ spl69_21
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1082,f915,f743,f4275]) ).

fof(f4275,plain,
    ( spl69_403
  <=> ! [X0] :
        ( sP10(X0)
        | sP7(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_403])]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP7(sK45(X0)) )
    | ~ spl69_21
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f744]) ).

fof(f4273,plain,
    ( spl69_402
    | ~ spl69_20
    | ~ spl69_58 ),
    inference(avatar_split_clause,[],[f1081,f915,f739,f4271]) ).

fof(f4271,plain,
    ( spl69_402
  <=> ! [X0] :
        ( sP10(X0)
        | sP5(sK45(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_402])]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP5(sK45(X0)) )
    | ~ spl69_20
    | ~ spl69_58 ),
    inference(resolution,[],[f916,f740]) ).

fof(f4269,plain,
    ( spl69_401
    | ~ spl69_26
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1075,f911,f763,f4267]) ).

fof(f4267,plain,
    ( spl69_401
  <=> ! [X0] :
        ( sP10(X0)
        | sP17(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_401])]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP17(sK44(X0)) )
    | ~ spl69_26
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f764]) ).

fof(f4257,plain,
    ( spl69_400
    | ~ spl69_25
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1074,f911,f759,f4255]) ).

fof(f4255,plain,
    ( spl69_400
  <=> ! [X0] :
        ( sP10(X0)
        | sP15(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_400])]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP15(sK44(X0)) )
    | ~ spl69_25
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f760]) ).

fof(f4253,plain,
    ( spl69_399
    | ~ spl69_24
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1073,f911,f755,f4251]) ).

fof(f4251,plain,
    ( spl69_399
  <=> ! [X0] :
        ( sP10(X0)
        | sP13(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_399])]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP13(sK44(X0)) )
    | ~ spl69_24
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f756]) ).

fof(f4249,plain,
    ( spl69_398
    | ~ spl69_23
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1072,f911,f751,f4247]) ).

fof(f4247,plain,
    ( spl69_398
  <=> ! [X0] :
        ( sP10(X0)
        | sP11(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_398])]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP11(sK44(X0)) )
    | ~ spl69_23
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f752]) ).

fof(f4245,plain,
    ( spl69_397
    | ~ spl69_22
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1071,f911,f747,f4243]) ).

fof(f4243,plain,
    ( spl69_397
  <=> ! [X0] :
        ( sP10(X0)
        | sP9(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_397])]) ).

fof(f1071,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP9(sK44(X0)) )
    | ~ spl69_22
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f748]) ).

fof(f4241,plain,
    ( spl69_396
    | ~ spl69_21
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1070,f911,f743,f4239]) ).

fof(f4239,plain,
    ( spl69_396
  <=> ! [X0] :
        ( sP10(X0)
        | sP7(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_396])]) ).

fof(f1070,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP7(sK44(X0)) )
    | ~ spl69_21
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f744]) ).

fof(f4237,plain,
    ( spl69_395
    | ~ spl69_20
    | ~ spl69_57 ),
    inference(avatar_split_clause,[],[f1069,f911,f739,f4235]) ).

fof(f4235,plain,
    ( spl69_395
  <=> ! [X0] :
        ( sP10(X0)
        | sP5(sK44(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_395])]) ).

fof(f1069,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP5(sK44(X0)) )
    | ~ spl69_20
    | ~ spl69_57 ),
    inference(resolution,[],[f912,f740]) ).

fof(f4233,plain,
    ( spl69_394
    | ~ spl69_26
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1068,f907,f763,f4231]) ).

fof(f4231,plain,
    ( spl69_394
  <=> ! [X0] :
        ( sP10(X0)
        | sP17(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_394])]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP17(sK43(X0)) )
    | ~ spl69_26
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f764]) ).

fof(f4229,plain,
    ( spl69_393
    | ~ spl69_25
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1067,f907,f759,f4227]) ).

fof(f4227,plain,
    ( spl69_393
  <=> ! [X0] :
        ( sP10(X0)
        | sP15(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_393])]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP15(sK43(X0)) )
    | ~ spl69_25
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f760]) ).

fof(f4225,plain,
    ( spl69_392
    | ~ spl69_24
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1066,f907,f755,f4223]) ).

fof(f4223,plain,
    ( spl69_392
  <=> ! [X0] :
        ( sP10(X0)
        | sP13(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_392])]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP13(sK43(X0)) )
    | ~ spl69_24
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f756]) ).

fof(f4221,plain,
    ( spl69_391
    | ~ spl69_23
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1065,f907,f751,f4219]) ).

fof(f4219,plain,
    ( spl69_391
  <=> ! [X0] :
        ( sP10(X0)
        | sP11(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_391])]) ).

fof(f1065,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP11(sK43(X0)) )
    | ~ spl69_23
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f752]) ).

fof(f4216,plain,
    ( spl69_390
    | ~ spl69_262
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3081,f3070,f2833,f4213]) ).

fof(f3081,plain,
    ( sP7(sK25(sK20))
    | ~ spl69_262
    | ~ spl69_269 ),
    inference(superposition,[],[f2835,f3072]) ).

fof(f4211,plain,
    ( spl69_389
    | ~ spl69_22
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1064,f907,f747,f4209]) ).

fof(f4209,plain,
    ( spl69_389
  <=> ! [X0] :
        ( sP10(X0)
        | sP9(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_389])]) ).

fof(f1064,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP9(sK43(X0)) )
    | ~ spl69_22
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f748]) ).

fof(f4207,plain,
    ( spl69_388
    | ~ spl69_21
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1063,f907,f743,f4205]) ).

fof(f4205,plain,
    ( spl69_388
  <=> ! [X0] :
        ( sP10(X0)
        | sP7(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_388])]) ).

fof(f1063,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP7(sK43(X0)) )
    | ~ spl69_21
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f744]) ).

fof(f4203,plain,
    ( spl69_387
    | ~ spl69_20
    | ~ spl69_56 ),
    inference(avatar_split_clause,[],[f1062,f907,f739,f4201]) ).

fof(f4201,plain,
    ( spl69_387
  <=> ! [X0] :
        ( sP10(X0)
        | sP5(sK43(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_387])]) ).

fof(f1062,plain,
    ( ! [X0] :
        ( sP10(X0)
        | sP5(sK43(X0)) )
    | ~ spl69_20
    | ~ spl69_56 ),
    inference(resolution,[],[f908,f740]) ).

fof(f4199,plain,
    ( spl69_386
    | ~ spl69_26
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1061,f890,f763,f4197]) ).

fof(f4197,plain,
    ( spl69_386
  <=> ! [X0] :
        ( sP8(X0)
        | sP17(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_386])]) ).

fof(f1061,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP17(sK40(X0)) )
    | ~ spl69_26
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f764]) ).

fof(f4195,plain,
    ( spl69_385
    | ~ spl69_25
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1060,f890,f759,f4193]) ).

fof(f4193,plain,
    ( spl69_385
  <=> ! [X0] :
        ( sP8(X0)
        | sP15(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_385])]) ).

fof(f1060,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP15(sK40(X0)) )
    | ~ spl69_25
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f760]) ).

fof(f4191,plain,
    ( spl69_384
    | ~ spl69_24
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1059,f890,f755,f4189]) ).

fof(f4189,plain,
    ( spl69_384
  <=> ! [X0] :
        ( sP8(X0)
        | sP13(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_384])]) ).

fof(f1059,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP13(sK40(X0)) )
    | ~ spl69_24
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f756]) ).

fof(f4187,plain,
    ( spl69_383
    | ~ spl69_23
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1058,f890,f751,f4185]) ).

fof(f4185,plain,
    ( spl69_383
  <=> ! [X0] :
        ( sP8(X0)
        | sP11(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_383])]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP11(sK40(X0)) )
    | ~ spl69_23
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f752]) ).

fof(f4183,plain,
    ( spl69_382
    | ~ spl69_22
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1057,f890,f747,f4181]) ).

fof(f4181,plain,
    ( spl69_382
  <=> ! [X0] :
        ( sP8(X0)
        | sP9(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_382])]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP9(sK40(X0)) )
    | ~ spl69_22
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f748]) ).

fof(f4179,plain,
    ( spl69_381
    | ~ spl69_21
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1056,f890,f743,f4177]) ).

fof(f4177,plain,
    ( spl69_381
  <=> ! [X0] :
        ( sP8(X0)
        | sP7(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_381])]) ).

fof(f1056,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP7(sK40(X0)) )
    | ~ spl69_21
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f744]) ).

fof(f4175,plain,
    ( spl69_380
    | ~ spl69_20
    | ~ spl69_52 ),
    inference(avatar_split_clause,[],[f1055,f890,f739,f4173]) ).

fof(f4173,plain,
    ( spl69_380
  <=> ! [X0] :
        ( sP8(X0)
        | sP5(sK40(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_380])]) ).

fof(f1055,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP5(sK40(X0)) )
    | ~ spl69_20
    | ~ spl69_52 ),
    inference(resolution,[],[f891,f740]) ).

fof(f4170,plain,
    ( spl69_379
    | ~ spl69_261
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3080,f3070,f2828,f4167]) ).

fof(f3080,plain,
    ( sP9(sK25(sK20))
    | ~ spl69_261
    | ~ spl69_269 ),
    inference(superposition,[],[f2830,f3072]) ).

fof(f4165,plain,
    ( spl69_378
    | ~ spl69_26
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1054,f886,f763,f4163]) ).

fof(f4163,plain,
    ( spl69_378
  <=> ! [X0] :
        ( sP8(X0)
        | sP17(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_378])]) ).

fof(f1054,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP17(sK39(X0)) )
    | ~ spl69_26
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f764]) ).

fof(f4161,plain,
    ( spl69_377
    | ~ spl69_25
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1053,f886,f759,f4159]) ).

fof(f4159,plain,
    ( spl69_377
  <=> ! [X0] :
        ( sP8(X0)
        | sP15(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_377])]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP15(sK39(X0)) )
    | ~ spl69_25
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f760]) ).

fof(f4157,plain,
    ( spl69_376
    | ~ spl69_24
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1052,f886,f755,f4155]) ).

fof(f4155,plain,
    ( spl69_376
  <=> ! [X0] :
        ( sP8(X0)
        | sP13(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_376])]) ).

fof(f1052,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP13(sK39(X0)) )
    | ~ spl69_24
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f756]) ).

fof(f4153,plain,
    ( spl69_375
    | ~ spl69_23
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1051,f886,f751,f4151]) ).

fof(f4151,plain,
    ( spl69_375
  <=> ! [X0] :
        ( sP8(X0)
        | sP11(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_375])]) ).

fof(f1051,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP11(sK39(X0)) )
    | ~ spl69_23
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f752]) ).

fof(f4149,plain,
    ( spl69_374
    | ~ spl69_22
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1050,f886,f747,f4147]) ).

fof(f4147,plain,
    ( spl69_374
  <=> ! [X0] :
        ( sP8(X0)
        | sP9(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_374])]) ).

fof(f1050,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP9(sK39(X0)) )
    | ~ spl69_22
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f748]) ).

fof(f4145,plain,
    ( spl69_373
    | ~ spl69_21
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1049,f886,f743,f4143]) ).

fof(f4143,plain,
    ( spl69_373
  <=> ! [X0] :
        ( sP8(X0)
        | sP7(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_373])]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP7(sK39(X0)) )
    | ~ spl69_21
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f744]) ).

fof(f4141,plain,
    ( spl69_372
    | ~ spl69_20
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f1048,f886,f739,f4139]) ).

fof(f4139,plain,
    ( spl69_372
  <=> ! [X0] :
        ( sP8(X0)
        | sP5(sK39(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_372])]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP5(sK39(X0)) )
    | ~ spl69_20
    | ~ spl69_51 ),
    inference(resolution,[],[f887,f740]) ).

fof(f4137,plain,
    ( spl69_371
    | ~ spl69_26
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1047,f882,f763,f4135]) ).

fof(f4135,plain,
    ( spl69_371
  <=> ! [X0] :
        ( sP8(X0)
        | sP17(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_371])]) ).

fof(f1047,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP17(sK38(X0)) )
    | ~ spl69_26
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f764]) ).

fof(f4133,plain,
    ( spl69_370
    | ~ spl69_25
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1046,f882,f759,f4131]) ).

fof(f4131,plain,
    ( spl69_370
  <=> ! [X0] :
        ( sP8(X0)
        | sP15(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_370])]) ).

fof(f1046,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP15(sK38(X0)) )
    | ~ spl69_25
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f760]) ).

fof(f4129,plain,
    ( spl69_369
    | ~ spl69_24
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1045,f882,f755,f4127]) ).

fof(f4127,plain,
    ( spl69_369
  <=> ! [X0] :
        ( sP8(X0)
        | sP13(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_369])]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP13(sK38(X0)) )
    | ~ spl69_24
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f756]) ).

fof(f4124,plain,
    ( spl69_368
    | ~ spl69_260
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3079,f3070,f2823,f4121]) ).

fof(f3079,plain,
    ( sP11(sK25(sK20))
    | ~ spl69_260
    | ~ spl69_269 ),
    inference(superposition,[],[f2825,f3072]) ).

fof(f4119,plain,
    ( spl69_367
    | ~ spl69_23
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1044,f882,f751,f4117]) ).

fof(f4117,plain,
    ( spl69_367
  <=> ! [X0] :
        ( sP8(X0)
        | sP11(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_367])]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP11(sK38(X0)) )
    | ~ spl69_23
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f752]) ).

fof(f4115,plain,
    ( spl69_366
    | ~ spl69_22
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1043,f882,f747,f4113]) ).

fof(f4113,plain,
    ( spl69_366
  <=> ! [X0] :
        ( sP8(X0)
        | sP9(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_366])]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP9(sK38(X0)) )
    | ~ spl69_22
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f748]) ).

fof(f4111,plain,
    ( spl69_365
    | ~ spl69_21
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1042,f882,f743,f4109]) ).

fof(f4109,plain,
    ( spl69_365
  <=> ! [X0] :
        ( sP8(X0)
        | sP7(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_365])]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP7(sK38(X0)) )
    | ~ spl69_21
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f744]) ).

fof(f4107,plain,
    ( spl69_364
    | ~ spl69_20
    | ~ spl69_50 ),
    inference(avatar_split_clause,[],[f1041,f882,f739,f4105]) ).

fof(f4105,plain,
    ( spl69_364
  <=> ! [X0] :
        ( sP8(X0)
        | sP5(sK38(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_364])]) ).

fof(f1041,plain,
    ( ! [X0] :
        ( sP8(X0)
        | sP5(sK38(X0)) )
    | ~ spl69_20
    | ~ spl69_50 ),
    inference(resolution,[],[f883,f740]) ).

fof(f4103,plain,
    ( spl69_363
    | ~ spl69_26
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1040,f870,f763,f4101]) ).

fof(f4101,plain,
    ( spl69_363
  <=> ! [X0] :
        ( sP6(X0)
        | sP17(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_363])]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP17(sK35(X0)) )
    | ~ spl69_26
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f764]) ).

fof(f4099,plain,
    ( spl69_362
    | ~ spl69_25
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1039,f870,f759,f4097]) ).

fof(f4097,plain,
    ( spl69_362
  <=> ! [X0] :
        ( sP6(X0)
        | sP15(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_362])]) ).

fof(f1039,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP15(sK35(X0)) )
    | ~ spl69_25
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f760]) ).

fof(f4095,plain,
    ( spl69_361
    | ~ spl69_24
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1038,f870,f755,f4093]) ).

fof(f4093,plain,
    ( spl69_361
  <=> ! [X0] :
        ( sP6(X0)
        | sP13(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_361])]) ).

fof(f1038,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP13(sK35(X0)) )
    | ~ spl69_24
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f756]) ).

fof(f4091,plain,
    ( spl69_360
    | ~ spl69_23
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1037,f870,f751,f4089]) ).

fof(f4089,plain,
    ( spl69_360
  <=> ! [X0] :
        ( sP6(X0)
        | sP11(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_360])]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP11(sK35(X0)) )
    | ~ spl69_23
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f752]) ).

fof(f4087,plain,
    ( spl69_359
    | ~ spl69_22
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1036,f870,f747,f4085]) ).

fof(f4085,plain,
    ( spl69_359
  <=> ! [X0] :
        ( sP6(X0)
        | sP9(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_359])]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP9(sK35(X0)) )
    | ~ spl69_22
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f748]) ).

fof(f4083,plain,
    ( spl69_358
    | ~ spl69_21
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1035,f870,f743,f4081]) ).

fof(f4081,plain,
    ( spl69_358
  <=> ! [X0] :
        ( sP6(X0)
        | sP7(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_358])]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP7(sK35(X0)) )
    | ~ spl69_21
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f744]) ).

fof(f4078,plain,
    ( spl69_357
    | ~ spl69_259
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3078,f3070,f2818,f4075]) ).

fof(f3078,plain,
    ( sP13(sK25(sK20))
    | ~ spl69_259
    | ~ spl69_269 ),
    inference(superposition,[],[f2820,f3072]) ).

fof(f4073,plain,
    ( spl69_356
    | ~ spl69_20
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f1034,f870,f739,f4071]) ).

fof(f4071,plain,
    ( spl69_356
  <=> ! [X0] :
        ( sP6(X0)
        | sP5(sK35(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_356])]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP5(sK35(X0)) )
    | ~ spl69_20
    | ~ spl69_47 ),
    inference(resolution,[],[f871,f740]) ).

fof(f4069,plain,
    ( spl69_355
    | ~ spl69_26
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1028,f866,f763,f4067]) ).

fof(f4067,plain,
    ( spl69_355
  <=> ! [X0] :
        ( sP6(X0)
        | sP17(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_355])]) ).

fof(f1028,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP17(sK34(X0)) )
    | ~ spl69_26
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f764]) ).

fof(f4065,plain,
    ( spl69_354
    | ~ spl69_25
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1027,f866,f759,f4063]) ).

fof(f4063,plain,
    ( spl69_354
  <=> ! [X0] :
        ( sP6(X0)
        | sP15(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_354])]) ).

fof(f1027,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP15(sK34(X0)) )
    | ~ spl69_25
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f760]) ).

fof(f4061,plain,
    ( spl69_353
    | ~ spl69_24
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1026,f866,f755,f4059]) ).

fof(f4059,plain,
    ( spl69_353
  <=> ! [X0] :
        ( sP6(X0)
        | sP13(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_353])]) ).

fof(f1026,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP13(sK34(X0)) )
    | ~ spl69_24
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f756]) ).

fof(f4057,plain,
    ( spl69_352
    | ~ spl69_23
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1025,f866,f751,f4055]) ).

fof(f4055,plain,
    ( spl69_352
  <=> ! [X0] :
        ( sP6(X0)
        | sP11(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_352])]) ).

fof(f1025,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP11(sK34(X0)) )
    | ~ spl69_23
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f752]) ).

fof(f4053,plain,
    ( spl69_351
    | ~ spl69_22
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1024,f866,f747,f4051]) ).

fof(f4051,plain,
    ( spl69_351
  <=> ! [X0] :
        ( sP6(X0)
        | sP9(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_351])]) ).

fof(f1024,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP9(sK34(X0)) )
    | ~ spl69_22
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f748]) ).

fof(f4049,plain,
    ( spl69_350
    | ~ spl69_21
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1023,f866,f743,f4047]) ).

fof(f4047,plain,
    ( spl69_350
  <=> ! [X0] :
        ( sP6(X0)
        | sP7(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_350])]) ).

fof(f1023,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP7(sK34(X0)) )
    | ~ spl69_21
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f744]) ).

fof(f4045,plain,
    ( spl69_349
    | ~ spl69_20
    | ~ spl69_46 ),
    inference(avatar_split_clause,[],[f1022,f866,f739,f4043]) ).

fof(f4043,plain,
    ( spl69_349
  <=> ! [X0] :
        ( sP6(X0)
        | sP5(sK34(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_349])]) ).

fof(f1022,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP5(sK34(X0)) )
    | ~ spl69_20
    | ~ spl69_46 ),
    inference(resolution,[],[f867,f740]) ).

fof(f4041,plain,
    ( spl69_348
    | ~ spl69_26
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1021,f862,f763,f4039]) ).

fof(f4039,plain,
    ( spl69_348
  <=> ! [X0] :
        ( sP6(X0)
        | sP17(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_348])]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP17(sK33(X0)) )
    | ~ spl69_26
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f764]) ).

fof(f4037,plain,
    ( spl69_347
    | ~ spl69_25
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1020,f862,f759,f4035]) ).

fof(f4035,plain,
    ( spl69_347
  <=> ! [X0] :
        ( sP6(X0)
        | sP15(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_347])]) ).

fof(f1020,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP15(sK33(X0)) )
    | ~ spl69_25
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f760]) ).

fof(f4032,plain,
    ( spl69_346
    | ~ spl69_258
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3077,f3070,f2813,f4029]) ).

fof(f3077,plain,
    ( sP15(sK25(sK20))
    | ~ spl69_258
    | ~ spl69_269 ),
    inference(superposition,[],[f2815,f3072]) ).

fof(f4027,plain,
    ( spl69_345
    | ~ spl69_24
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1019,f862,f755,f4025]) ).

fof(f4025,plain,
    ( spl69_345
  <=> ! [X0] :
        ( sP6(X0)
        | sP13(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_345])]) ).

fof(f1019,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP13(sK33(X0)) )
    | ~ spl69_24
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f756]) ).

fof(f4023,plain,
    ( spl69_344
    | ~ spl69_23
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1018,f862,f751,f4021]) ).

fof(f4021,plain,
    ( spl69_344
  <=> ! [X0] :
        ( sP6(X0)
        | sP11(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_344])]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP11(sK33(X0)) )
    | ~ spl69_23
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f752]) ).

fof(f4019,plain,
    ( spl69_343
    | ~ spl69_22
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1017,f862,f747,f4017]) ).

fof(f4017,plain,
    ( spl69_343
  <=> ! [X0] :
        ( sP6(X0)
        | sP9(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_343])]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP9(sK33(X0)) )
    | ~ spl69_22
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f748]) ).

fof(f4015,plain,
    ( spl69_342
    | ~ spl69_21
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1016,f862,f743,f4013]) ).

fof(f4013,plain,
    ( spl69_342
  <=> ! [X0] :
        ( sP6(X0)
        | sP7(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_342])]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP7(sK33(X0)) )
    | ~ spl69_21
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f744]) ).

fof(f4011,plain,
    ( spl69_341
    | ~ spl69_20
    | ~ spl69_45 ),
    inference(avatar_split_clause,[],[f1015,f862,f739,f4009]) ).

fof(f4009,plain,
    ( spl69_341
  <=> ! [X0] :
        ( sP6(X0)
        | sP5(sK33(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_341])]) ).

fof(f1015,plain,
    ( ! [X0] :
        ( sP6(X0)
        | sP5(sK33(X0)) )
    | ~ spl69_20
    | ~ spl69_45 ),
    inference(resolution,[],[f863,f740]) ).

fof(f4007,plain,
    ( spl69_340
    | ~ spl69_26
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1014,f850,f763,f4005]) ).

fof(f4005,plain,
    ( spl69_340
  <=> ! [X0] :
        ( sP4(X0)
        | sP17(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_340])]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP17(sK30(X0)) )
    | ~ spl69_26
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f764]) ).

fof(f4003,plain,
    ( spl69_339
    | ~ spl69_25
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1013,f850,f759,f4001]) ).

fof(f4001,plain,
    ( spl69_339
  <=> ! [X0] :
        ( sP4(X0)
        | sP15(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_339])]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP15(sK30(X0)) )
    | ~ spl69_25
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f760]) ).

fof(f3999,plain,
    ( spl69_338
    | ~ spl69_24
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1012,f850,f755,f3997]) ).

fof(f3997,plain,
    ( spl69_338
  <=> ! [X0] :
        ( sP4(X0)
        | sP13(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_338])]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP13(sK30(X0)) )
    | ~ spl69_24
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f756]) ).

fof(f3995,plain,
    ( spl69_337
    | ~ spl69_23
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1011,f850,f751,f3993]) ).

fof(f3993,plain,
    ( spl69_337
  <=> ! [X0] :
        ( sP4(X0)
        | sP11(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_337])]) ).

fof(f1011,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP11(sK30(X0)) )
    | ~ spl69_23
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f752]) ).

fof(f3991,plain,
    ( spl69_336
    | ~ spl69_22
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1010,f850,f747,f3989]) ).

fof(f3989,plain,
    ( spl69_336
  <=> ! [X0] :
        ( sP4(X0)
        | sP9(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_336])]) ).

fof(f1010,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP9(sK30(X0)) )
    | ~ spl69_22
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f748]) ).

fof(f3986,plain,
    ( spl69_335
    | ~ spl69_257
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3076,f3070,f2808,f3983]) ).

fof(f3076,plain,
    ( sP17(sK25(sK20))
    | ~ spl69_257
    | ~ spl69_269 ),
    inference(superposition,[],[f2810,f3072]) ).

fof(f3981,plain,
    ( spl69_334
    | ~ spl69_21
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1009,f850,f743,f3979]) ).

fof(f3979,plain,
    ( spl69_334
  <=> ! [X0] :
        ( sP4(X0)
        | sP7(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_334])]) ).

fof(f1009,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP7(sK30(X0)) )
    | ~ spl69_21
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f744]) ).

fof(f3977,plain,
    ( spl69_333
    | ~ spl69_20
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f1008,f850,f739,f3975]) ).

fof(f3975,plain,
    ( spl69_333
  <=> ! [X0] :
        ( sP4(X0)
        | sP5(sK30(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_333])]) ).

fof(f1008,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP5(sK30(X0)) )
    | ~ spl69_20
    | ~ spl69_42 ),
    inference(resolution,[],[f851,f740]) ).

fof(f3973,plain,
    ( spl69_332
    | ~ spl69_26
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1007,f846,f763,f3971]) ).

fof(f3971,plain,
    ( spl69_332
  <=> ! [X0] :
        ( sP4(X0)
        | sP17(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_332])]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP17(sK29(X0)) )
    | ~ spl69_26
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f764]) ).

fof(f3969,plain,
    ( spl69_331
    | ~ spl69_25
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1006,f846,f759,f3967]) ).

fof(f3967,plain,
    ( spl69_331
  <=> ! [X0] :
        ( sP4(X0)
        | sP15(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_331])]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP15(sK29(X0)) )
    | ~ spl69_25
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f760]) ).

fof(f3965,plain,
    ( spl69_330
    | ~ spl69_24
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1005,f846,f755,f3963]) ).

fof(f3963,plain,
    ( spl69_330
  <=> ! [X0] :
        ( sP4(X0)
        | sP13(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_330])]) ).

fof(f1005,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP13(sK29(X0)) )
    | ~ spl69_24
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f756]) ).

fof(f3961,plain,
    ( spl69_329
    | ~ spl69_23
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1004,f846,f751,f3959]) ).

fof(f3959,plain,
    ( spl69_329
  <=> ! [X0] :
        ( sP4(X0)
        | sP11(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_329])]) ).

fof(f1004,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP11(sK29(X0)) )
    | ~ spl69_23
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f752]) ).

fof(f3957,plain,
    ( spl69_328
    | ~ spl69_22
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1003,f846,f747,f3955]) ).

fof(f3955,plain,
    ( spl69_328
  <=> ! [X0] :
        ( sP4(X0)
        | sP9(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_328])]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP9(sK29(X0)) )
    | ~ spl69_22
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f748]) ).

fof(f3953,plain,
    ( spl69_327
    | ~ spl69_21
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1002,f846,f743,f3951]) ).

fof(f3951,plain,
    ( spl69_327
  <=> ! [X0] :
        ( sP4(X0)
        | sP7(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_327])]) ).

fof(f1002,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP7(sK29(X0)) )
    | ~ spl69_21
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f744]) ).

fof(f3949,plain,
    ( spl69_326
    | ~ spl69_20
    | ~ spl69_41 ),
    inference(avatar_split_clause,[],[f1001,f846,f739,f3947]) ).

fof(f3947,plain,
    ( spl69_326
  <=> ! [X0] :
        ( sP4(X0)
        | sP5(sK29(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_326])]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP5(sK29(X0)) )
    | ~ spl69_20
    | ~ spl69_41 ),
    inference(resolution,[],[f847,f740]) ).

fof(f3944,plain,
    ( spl69_325
    | ~ spl69_269
    | ~ spl69_318 ),
    inference(avatar_split_clause,[],[f3847,f3844,f3070,f3942]) ).

fof(f3942,plain,
    ( spl69_325
  <=> ! [X0,X1] :
        ( app(app(X0,X1),sK25(sK20)) = app(X0,app(X1,sK25(sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_325])]) ).

fof(f3844,plain,
    ( spl69_318
  <=> ! [X0,X1] :
        ( app(app(X0,X1),tl(sK20)) = app(X0,app(X1,tl(sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_318])]) ).

fof(f3847,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),sK25(sK20)) = app(X0,app(X1,sK25(sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_269
    | ~ spl69_318 ),
    inference(forward_demodulation,[],[f3845,f3072]) ).

fof(f3845,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),tl(sK20)) = app(X0,app(X1,tl(sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_318 ),
    inference(avatar_component_clause,[],[f3844]) ).

fof(f3939,plain,
    ( spl69_324
    | ~ spl69_256
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3075,f3070,f2803,f3936]) ).

fof(f3075,plain,
    ( sP5(sK25(sK20))
    | ~ spl69_256
    | ~ spl69_269 ),
    inference(superposition,[],[f2805,f3072]) ).

fof(f3932,plain,
    ( spl69_323
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2732,f2314,f1507,f662,f3930]) ).

fof(f3930,plain,
    ( spl69_323
  <=> ! [X0,X1] :
        ( cons(X0,app(tl(sK20),X1)) = app(cons(X0,tl(sK20)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_323])]) ).

fof(f2732,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(tl(sK20),X1)) = app(cons(X0,tl(sK20)),X1)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_215 ),
    inference(forward_demodulation,[],[f2601,f664]) ).

fof(f3927,plain,
    ( spl69_322
    | ~ spl69_269
    | ~ spl69_317 ),
    inference(avatar_split_clause,[],[f3841,f3838,f3070,f3925]) ).

fof(f3925,plain,
    ( spl69_322
  <=> ! [X0] :
        ( app(tl(X0),sK25(sK20)) = tl(app(X0,sK25(sK20)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_322])]) ).

fof(f3838,plain,
    ( spl69_317
  <=> ! [X0] :
        ( tl(app(X0,tl(sK20))) = app(tl(X0),tl(sK20))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_317])]) ).

fof(f3841,plain,
    ( ! [X0] :
        ( app(tl(X0),sK25(sK20)) = tl(app(X0,sK25(sK20)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_269
    | ~ spl69_317 ),
    inference(forward_demodulation,[],[f3839,f3072]) ).

fof(f3839,plain,
    ( ! [X0] :
        ( tl(app(X0,tl(sK20))) = app(tl(X0),tl(sK20))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_317 ),
    inference(avatar_component_clause,[],[f3838]) ).

fof(f3923,plain,
    ( ~ spl69_321
    | spl69_319
    | ~ spl69_320 ),
    inference(avatar_split_clause,[],[f3911,f3907,f3903,f3920]) ).

fof(f3903,plain,
    ( spl69_319
  <=> sK25(sK20) = cons(sK23(sK25(sK20)),sK22(sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_319])]) ).

fof(f3911,plain,
    ( nil != cons(sK23(nil),sK22(nil))
    | spl69_319
    | ~ spl69_320 ),
    inference(forward_demodulation,[],[f3904,f3909]) ).

fof(f3904,plain,
    ( sK25(sK20) != cons(sK23(sK25(sK20)),sK22(sK25(sK20)))
    | spl69_319 ),
    inference(avatar_component_clause,[],[f3903]) ).

fof(f3910,plain,
    ( spl69_319
    | spl69_320
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_175
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3856,f3070,f1889,f1507,f662,f3907,f3903]) ).

fof(f3856,plain,
    ( nil = sK25(sK20)
    | sK25(sK20) = cons(sK23(sK25(sK20)),sK22(sK25(sK20)))
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_175
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f3855,f3072]) ).

fof(f3855,plain,
    ( sK25(sK20) = cons(sK23(sK25(sK20)),sK22(sK25(sK20)))
    | nil = tl(sK20)
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_175
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f2739,f3072]) ).

fof(f2739,plain,
    ( tl(sK20) = cons(sK23(tl(sK20)),sK22(tl(sK20)))
    | nil = tl(sK20)
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_175 ),
    inference(forward_demodulation,[],[f2738,f664]) ).

fof(f2738,plain,
    ( nil = tl(sK20)
    | tl(sK21) = cons(sK23(tl(sK21)),sK22(tl(sK21)))
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_175 ),
    inference(forward_demodulation,[],[f2596,f664]) ).

fof(f3849,plain,
    ( ~ spl69_1
    | ~ spl69_36
    | spl69_312 ),
    inference(avatar_split_clause,[],[f3684,f3680,f826,f647]) ).

fof(f3684,plain,
    ( ~ ssList(sK20)
    | ~ spl69_36
    | spl69_312 ),
    inference(resolution,[],[f3682,f827]) ).

fof(f3682,plain,
    ( ~ frontsegP(sK20,nil)
    | spl69_312 ),
    inference(avatar_component_clause,[],[f3680]) ).

fof(f3846,plain,
    ( spl69_318
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2731,f2327,f1507,f662,f3844]) ).

fof(f2731,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),tl(sK20)) = app(X0,app(X1,tl(sK20)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_218 ),
    inference(forward_demodulation,[],[f2602,f664]) ).

fof(f3840,plain,
    ( spl69_317
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2733,f2248,f1507,f662,f3838]) ).

fof(f2733,plain,
    ( ! [X0] :
        ( tl(app(X0,tl(sK20))) = app(tl(X0),tl(sK20))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_209 ),
    inference(forward_demodulation,[],[f2600,f664]) ).

fof(f3750,plain,
    ( spl69_316
    | ~ spl69_2
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2377,f2327,f652,f3748]) ).

fof(f3748,plain,
    ( spl69_316
  <=> ! [X0,X1] :
        ( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_316])]) ).

fof(f2377,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_2
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f654]) ).

fof(f3746,plain,
    ( spl69_315
    | ~ spl69_1
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2376,f2327,f647,f3744]) ).

fof(f2376,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_1
    | ~ spl69_218 ),
    inference(resolution,[],[f2328,f649]) ).

fof(f3741,plain,
    ( spl69_314
    | ~ spl69_2
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2343,f2314,f652,f3739]) ).

fof(f3739,plain,
    ( spl69_314
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_314])]) ).

fof(f2343,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
        | ~ ssList(X1) )
    | ~ spl69_2
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f654]) ).

fof(f3737,plain,
    ( spl69_313
    | ~ spl69_1
    | ~ spl69_215 ),
    inference(avatar_split_clause,[],[f2342,f2314,f647,f3735]) ).

fof(f2342,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
        | ~ ssList(X1) )
    | ~ spl69_1
    | ~ spl69_215 ),
    inference(resolution,[],[f2315,f649]) ).

fof(f3683,plain,
    ( ~ spl69_312
    | ~ spl69_269
    | ~ spl69_293
    | spl69_311 ),
    inference(avatar_split_clause,[],[f3678,f3674,f3419,f3070,f3680]) ).

fof(f3678,plain,
    ( ~ frontsegP(sK20,nil)
    | ~ spl69_269
    | ~ spl69_293
    | spl69_311 ),
    inference(forward_demodulation,[],[f3675,f3652]) ).

fof(f3652,plain,
    ( nil = sK25(sK20)
    | ~ spl69_269
    | ~ spl69_293 ),
    inference(superposition,[],[f3421,f3072]) ).

fof(f3421,plain,
    ( nil = tl(sK20)
    | ~ spl69_293 ),
    inference(avatar_component_clause,[],[f3419]) ).

fof(f3677,plain,
    ( ~ spl69_1
    | ~ spl69_305
    | ~ spl69_310
    | spl69_311
    | ~ spl69_189
    | ~ spl69_275 ),
    inference(avatar_split_clause,[],[f3140,f3124,f2021,f3674,f3670,f3555,f647]) ).

fof(f3140,plain,
    ( frontsegP(sK20,sK25(sK20))
    | ~ ssList(cons(sK24(sK20),nil))
    | ~ ssList(sK25(sK20))
    | ~ ssList(sK20)
    | ~ spl69_189
    | ~ spl69_275 ),
    inference(superposition,[],[f2022,f3126]) ).

fof(f3648,plain,
    ( spl69_309
    | ~ spl69_269
    | ~ spl69_295
    | ~ spl69_298
    | ~ spl69_308 ),
    inference(avatar_split_clause,[],[f3643,f3637,f3449,f3430,f3070,f3645]) ).

fof(f3645,plain,
    ( spl69_309
  <=> sK25(sK20) = cons(sK24(sK25(sK20)),sK25(sK25(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_309])]) ).

fof(f3430,plain,
    ( spl69_295
  <=> tl(sK25(sK20)) = sK25(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_295])]) ).

fof(f3449,plain,
    ( spl69_298
  <=> hd(sK25(sK20)) = sK24(sK25(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_298])]) ).

fof(f3637,plain,
    ( spl69_308
  <=> tl(sK20) = cons(hd(tl(sK20)),tl(tl(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_308])]) ).

fof(f3643,plain,
    ( sK25(sK20) = cons(sK24(sK25(sK20)),sK25(sK25(sK20)))
    | ~ spl69_269
    | ~ spl69_295
    | ~ spl69_298
    | ~ spl69_308 ),
    inference(forward_demodulation,[],[f3642,f3451]) ).

fof(f3451,plain,
    ( hd(sK25(sK20)) = sK24(sK25(sK20))
    | ~ spl69_298 ),
    inference(avatar_component_clause,[],[f3449]) ).

fof(f3642,plain,
    ( sK25(sK20) = cons(hd(sK25(sK20)),sK25(sK25(sK20)))
    | ~ spl69_269
    | ~ spl69_295
    | ~ spl69_308 ),
    inference(forward_demodulation,[],[f3641,f3432]) ).

fof(f3432,plain,
    ( tl(sK25(sK20)) = sK25(sK25(sK20))
    | ~ spl69_295 ),
    inference(avatar_component_clause,[],[f3430]) ).

fof(f3641,plain,
    ( sK25(sK20) = cons(hd(sK25(sK20)),tl(sK25(sK20)))
    | ~ spl69_269
    | ~ spl69_308 ),
    inference(forward_demodulation,[],[f3639,f3072]) ).

fof(f3639,plain,
    ( tl(sK20) = cons(hd(tl(sK20)),tl(tl(sK20)))
    | ~ spl69_308 ),
    inference(avatar_component_clause,[],[f3637]) ).

fof(f3640,plain,
    ( spl69_293
    | spl69_308
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f2737,f1893,f1507,f662,f3637,f3419]) ).

fof(f2737,plain,
    ( tl(sK20) = cons(hd(tl(sK20)),tl(tl(sK20)))
    | nil = tl(sK20)
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_176 ),
    inference(forward_demodulation,[],[f2736,f664]) ).

fof(f2736,plain,
    ( nil = tl(sK20)
    | tl(sK21) = cons(hd(tl(sK21)),tl(tl(sK21)))
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_176 ),
    inference(forward_demodulation,[],[f2597,f664]) ).

fof(f3634,plain,
    ( spl69_307
    | ~ spl69_2
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2269,f2248,f652,f3632]) ).

fof(f3632,plain,
    ( spl69_307
  <=> ! [X0] :
        ( nil = X0
        | tl(app(X0,sK21)) = app(tl(X0),sK21)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_307])]) ).

fof(f2269,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,sK21)) = app(tl(X0),sK21)
        | ~ ssList(X0) )
    | ~ spl69_2
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f654]) ).

fof(f3630,plain,
    ( spl69_306
    | ~ spl69_1
    | ~ spl69_209 ),
    inference(avatar_split_clause,[],[f2268,f2248,f647,f3628]) ).

fof(f3628,plain,
    ( spl69_306
  <=> ! [X0] :
        ( nil = X0
        | tl(app(X0,sK20)) = app(tl(X0),sK20)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_306])]) ).

fof(f2268,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,sK20)) = app(tl(X0),sK20)
        | ~ ssList(X0) )
    | ~ spl69_1
    | ~ spl69_209 ),
    inference(resolution,[],[f2249,f649]) ).

fof(f3558,plain,
    ( spl69_305
    | ~ spl69_251
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3074,f3070,f2758,f3555]) ).

fof(f3074,plain,
    ( ssList(sK25(sK20))
    | ~ spl69_251
    | ~ spl69_269 ),
    inference(superposition,[],[f2760,f3072]) ).

fof(f3553,plain,
    ( spl69_304
    | ~ spl69_269
    | ~ spl69_302 ),
    inference(avatar_split_clause,[],[f3545,f3542,f3070,f3551]) ).

fof(f3542,plain,
    ( spl69_302
  <=> ! [X0] :
        ( cons(X0,tl(sK20)) = app(cons(X0,nil),tl(sK20))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_302])]) ).

fof(f3545,plain,
    ( ! [X0] :
        ( cons(X0,sK25(sK20)) = app(cons(X0,nil),sK25(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_269
    | ~ spl69_302 ),
    inference(forward_demodulation,[],[f3543,f3072]) ).

fof(f3543,plain,
    ( ! [X0] :
        ( cons(X0,tl(sK20)) = app(cons(X0,nil),tl(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_302 ),
    inference(avatar_component_clause,[],[f3542]) ).

fof(f3549,plain,
    ( spl69_303
    | ~ spl69_269
    | ~ spl69_301 ),
    inference(avatar_split_clause,[],[f3540,f3537,f3070,f3547]) ).

fof(f3537,plain,
    ( spl69_301
  <=> ! [X0] :
        ( hd(X0) = hd(app(X0,tl(sK20)))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_301])]) ).

fof(f3540,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,sK25(sK20)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_269
    | ~ spl69_301 ),
    inference(forward_demodulation,[],[f3538,f3072]) ).

fof(f3538,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,tl(sK20)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_301 ),
    inference(avatar_component_clause,[],[f3537]) ).

fof(f3544,plain,
    ( spl69_302
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2735,f2001,f1507,f662,f3542]) ).

fof(f2735,plain,
    ( ! [X0] :
        ( cons(X0,tl(sK20)) = app(cons(X0,nil),tl(sK20))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_184 ),
    inference(forward_demodulation,[],[f2598,f664]) ).

fof(f3539,plain,
    ( spl69_301
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2734,f2099,f1507,f662,f3537]) ).

fof(f2734,plain,
    ( ! [X0] :
        ( hd(X0) = hd(app(X0,tl(sK20)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_193 ),
    inference(forward_demodulation,[],[f2599,f664]) ).

fof(f3487,plain,
    ( spl69_300
    | ~ spl69_2
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2123,f2099,f652,f3485]) ).

fof(f3485,plain,
    ( spl69_300
  <=> ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK21))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_300])]) ).

fof(f2123,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK21))
        | ~ ssList(X0) )
    | ~ spl69_2
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f654]) ).

fof(f3483,plain,
    ( spl69_299
    | ~ spl69_1
    | ~ spl69_193 ),
    inference(avatar_split_clause,[],[f2122,f2099,f647,f3481]) ).

fof(f2122,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,sK20))
        | ~ ssList(X0) )
    | ~ spl69_1
    | ~ spl69_193 ),
    inference(resolution,[],[f2100,f649]) ).

fof(f3452,plain,
    ( spl69_298
    | ~ spl69_269
    | ~ spl69_296 ),
    inference(avatar_split_clause,[],[f3442,f3438,f3070,f3449]) ).

fof(f3438,plain,
    ( spl69_296
  <=> hd(tl(sK20)) = sK24(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_296])]) ).

fof(f3442,plain,
    ( hd(sK25(sK20)) = sK24(sK25(sK20))
    | ~ spl69_269
    | ~ spl69_296 ),
    inference(forward_demodulation,[],[f3440,f3072]) ).

fof(f3440,plain,
    ( hd(tl(sK20)) = sK24(tl(sK20))
    | ~ spl69_296 ),
    inference(avatar_component_clause,[],[f3438]) ).

fof(f3447,plain,
    ( spl69_297
    | ~ spl69_254
    | ~ spl69_268 ),
    inference(avatar_split_clause,[],[f3063,f3058,f2793,f3444]) ).

fof(f3063,plain,
    ( ssItem(sK24(sK20))
    | ~ spl69_254
    | ~ spl69_268 ),
    inference(superposition,[],[f2794,f3060]) ).

fof(f3441,plain,
    ( spl69_293
    | spl69_296
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f2745,f1602,f1507,f662,f3438,f3419]) ).

fof(f2745,plain,
    ( hd(tl(sK20)) = sK24(tl(sK20))
    | nil = tl(sK20)
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_160 ),
    inference(forward_demodulation,[],[f2744,f664]) ).

fof(f2744,plain,
    ( nil = tl(sK20)
    | hd(tl(sK21)) = sK24(tl(sK21))
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_160 ),
    inference(forward_demodulation,[],[f2592,f664]) ).

fof(f3433,plain,
    ( spl69_295
    | ~ spl69_269
    | ~ spl69_294 ),
    inference(avatar_split_clause,[],[f3427,f3423,f3070,f3430]) ).

fof(f3423,plain,
    ( spl69_294
  <=> tl(tl(sK20)) = sK25(tl(sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_294])]) ).

fof(f3427,plain,
    ( tl(sK25(sK20)) = sK25(sK25(sK20))
    | ~ spl69_269
    | ~ spl69_294 ),
    inference(forward_demodulation,[],[f3425,f3072]) ).

fof(f3425,plain,
    ( tl(tl(sK20)) = sK25(tl(sK20))
    | ~ spl69_294 ),
    inference(avatar_component_clause,[],[f3423]) ).

fof(f3426,plain,
    ( spl69_293
    | spl69_294
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f2743,f1606,f1507,f662,f3423,f3419]) ).

fof(f2743,plain,
    ( tl(tl(sK20)) = sK25(tl(sK20))
    | nil = tl(sK20)
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_161 ),
    inference(forward_demodulation,[],[f2742,f664]) ).

fof(f2742,plain,
    ( nil = tl(sK20)
    | tl(tl(sK21)) = sK25(tl(sK21))
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_161 ),
    inference(forward_demodulation,[],[f2593,f664]) ).

fof(f3416,plain,
    ( spl69_292
    | ~ spl69_2
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2041,f2001,f652,f3414]) ).

fof(f3414,plain,
    ( spl69_292
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK21) = app(cons(X0,nil),sK21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_292])]) ).

fof(f2041,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK21) = app(cons(X0,nil),sK21) )
    | ~ spl69_2
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f654]) ).

fof(f3412,plain,
    ( spl69_291
    | ~ spl69_1
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2040,f2001,f647,f3410]) ).

fof(f2040,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK20) = app(cons(X0,nil),sK20) )
    | ~ spl69_1
    | ~ spl69_184 ),
    inference(resolution,[],[f2002,f649]) ).

fof(f3385,plain,
    ( spl69_290
    | ~ spl69_269
    | ~ spl69_289 ),
    inference(avatar_split_clause,[],[f3381,f3378,f3070,f3383]) ).

fof(f3378,plain,
    ( spl69_289
  <=> ! [X0] :
        ( tl(sK20) = tl(cons(X0,tl(sK20)))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_289])]) ).

fof(f3381,plain,
    ( ! [X0] :
        ( sK25(sK20) = tl(cons(X0,sK25(sK20)))
        | ~ ssItem(X0) )
    | ~ spl69_269
    | ~ spl69_289 ),
    inference(forward_demodulation,[],[f3379,f3072]) ).

fof(f3379,plain,
    ( ! [X0] :
        ( tl(sK20) = tl(cons(X0,tl(sK20)))
        | ~ ssItem(X0) )
    | ~ spl69_289 ),
    inference(avatar_component_clause,[],[f3378]) ).

fof(f3380,plain,
    ( spl69_289
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f2741,f1614,f1507,f662,f3378]) ).

fof(f2741,plain,
    ( ! [X0] :
        ( tl(sK20) = tl(cons(X0,tl(sK20)))
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_163 ),
    inference(forward_demodulation,[],[f2594,f664]) ).

fof(f3341,plain,
    ( spl69_288
    | ~ spl69_268
    | ~ spl69_269
    | ~ spl69_287 ),
    inference(avatar_split_clause,[],[f3336,f3331,f3070,f3058,f3338]) ).

fof(f3336,plain,
    ( sK20 = cons(sK24(sK20),sK25(sK20))
    | ~ spl69_268
    | ~ spl69_269
    | ~ spl69_287 ),
    inference(forward_demodulation,[],[f3335,f3060]) ).

fof(f3334,plain,
    ( spl69_287
    | spl69_252
    | ~ spl69_1
    | ~ spl69_176 ),
    inference(avatar_split_clause,[],[f1949,f1893,f647,f2763,f3331]) ).

fof(f1949,plain,
    ( nil = sK20
    | sK20 = cons(hd(sK20),tl(sK20))
    | ~ spl69_1
    | ~ spl69_176 ),
    inference(resolution,[],[f1894,f649]) ).

fof(f3294,plain,
    ( spl69_286
    | spl69_252
    | ~ spl69_1
    | ~ spl69_175 ),
    inference(avatar_split_clause,[],[f1915,f1889,f647,f2763,f3291]) ).

fof(f1915,plain,
    ( nil = sK20
    | sK20 = cons(sK23(sK20),sK22(sK20))
    | ~ spl69_1
    | ~ spl69_175 ),
    inference(resolution,[],[f1890,f649]) ).

fof(f3267,plain,
    ( spl69_285
    | ~ spl69_269
    | ~ spl69_284 ),
    inference(avatar_split_clause,[],[f3263,f3260,f3070,f3265]) ).

fof(f3260,plain,
    ( spl69_284
  <=> ! [X0] :
        ( hd(cons(X0,tl(sK20))) = X0
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_284])]) ).

fof(f3263,plain,
    ( ! [X0] :
        ( hd(cons(X0,sK25(sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_269
    | ~ spl69_284 ),
    inference(forward_demodulation,[],[f3261,f3072]) ).

fof(f3261,plain,
    ( ! [X0] :
        ( hd(cons(X0,tl(sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_284 ),
    inference(avatar_component_clause,[],[f3260]) ).

fof(f3262,plain,
    ( spl69_284
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f2740,f1618,f1507,f662,f3260]) ).

fof(f2740,plain,
    ( ! [X0] :
        ( hd(cons(X0,tl(sK20))) = X0
        | ~ ssItem(X0) )
    | ~ spl69_4
    | ~ spl69_139
    | ~ spl69_164 ),
    inference(forward_demodulation,[],[f2595,f664]) ).

fof(f3254,plain,
    ( ~ spl69_216
    | ~ spl69_4
    | spl69_233 ),
    inference(avatar_split_clause,[],[f2624,f2488,f662,f2318]) ).

fof(f2318,plain,
    ( spl69_216
  <=> duplicatefreeP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_216])]) ).

fof(f2488,plain,
    ( spl69_233
  <=> duplicatefreeP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_233])]) ).

fof(f2624,plain,
    ( ~ duplicatefreeP(sK20)
    | ~ spl69_4
    | spl69_233 ),
    inference(superposition,[],[f2489,f664]) ).

fof(f2489,plain,
    ( ~ duplicatefreeP(sK21)
    | spl69_233 ),
    inference(avatar_component_clause,[],[f2488]) ).

fof(f3243,plain,
    ( spl69_283
    | ~ spl69_14
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f791,f763,f711,f3240]) ).

fof(f3240,plain,
    ( spl69_283
  <=> sP17(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_283])]) ).

fof(f791,plain,
    ( sP17(nil)
    | ~ spl69_14
    | ~ spl69_26 ),
    inference(resolution,[],[f764,f713]) ).

fof(f3238,plain,
    ( spl69_282
    | ~ spl69_14
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f788,f759,f711,f3235]) ).

fof(f3235,plain,
    ( spl69_282
  <=> sP15(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_282])]) ).

fof(f788,plain,
    ( sP15(nil)
    | ~ spl69_14
    | ~ spl69_25 ),
    inference(resolution,[],[f760,f713]) ).

fof(f3233,plain,
    ( spl69_281
    | ~ spl69_14
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f785,f755,f711,f3230]) ).

fof(f3230,plain,
    ( spl69_281
  <=> sP13(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_281])]) ).

fof(f785,plain,
    ( sP13(nil)
    | ~ spl69_14
    | ~ spl69_24 ),
    inference(resolution,[],[f756,f713]) ).

fof(f3228,plain,
    ( spl69_280
    | ~ spl69_14
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f782,f751,f711,f3225]) ).

fof(f3225,plain,
    ( spl69_280
  <=> sP11(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_280])]) ).

fof(f782,plain,
    ( sP11(nil)
    | ~ spl69_14
    | ~ spl69_23 ),
    inference(resolution,[],[f752,f713]) ).

fof(f3223,plain,
    ( spl69_279
    | ~ spl69_14
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f779,f747,f711,f3220]) ).

fof(f3220,plain,
    ( spl69_279
  <=> sP9(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_279])]) ).

fof(f779,plain,
    ( sP9(nil)
    | ~ spl69_14
    | ~ spl69_22 ),
    inference(resolution,[],[f748,f713]) ).

fof(f3217,plain,
    ( spl69_278
    | ~ spl69_14
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f776,f743,f711,f3214]) ).

fof(f3214,plain,
    ( spl69_278
  <=> sP7(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_278])]) ).

fof(f776,plain,
    ( sP7(nil)
    | ~ spl69_14
    | ~ spl69_21 ),
    inference(resolution,[],[f744,f713]) ).

fof(f3212,plain,
    ( spl69_277
    | ~ spl69_14
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f768,f739,f711,f3209]) ).

fof(f3209,plain,
    ( spl69_277
  <=> sP5(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_277])]) ).

fof(f768,plain,
    ( sP5(nil)
    | ~ spl69_14
    | ~ spl69_20 ),
    inference(resolution,[],[f740,f713]) ).

fof(f3203,plain,
    ( ~ spl69_1
    | ~ spl69_275
    | spl69_276 ),
    inference(avatar_split_clause,[],[f3202,f3198,f3124,f647]) ).

fof(f3202,plain,
    ( ~ ssList(sK20)
    | ~ spl69_275
    | spl69_276 ),
    inference(forward_demodulation,[],[f3200,f3126]) ).

fof(f3200,plain,
    ( ~ ssList(app(sK25(sK20),cons(sK24(sK20),nil)))
    | spl69_276 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f3201,plain,
    ( ~ spl69_276
    | ~ spl69_268
    | ~ spl69_269
    | spl69_274 ),
    inference(avatar_split_clause,[],[f3114,f3109,f3070,f3058,f3198]) ).

fof(f3109,plain,
    ( spl69_274
  <=> ssList(app(tl(sK20),cons(hd(sK20),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_274])]) ).

fof(f3114,plain,
    ( ~ ssList(app(sK25(sK20),cons(sK24(sK20),nil)))
    | ~ spl69_268
    | ~ spl69_269
    | spl69_274 ),
    inference(forward_demodulation,[],[f3113,f3072]) ).

fof(f3113,plain,
    ( ~ ssList(app(tl(sK20),cons(sK24(sK20),nil)))
    | ~ spl69_268
    | spl69_274 ),
    inference(forward_demodulation,[],[f3111,f3060]) ).

fof(f3111,plain,
    ( ~ ssList(app(tl(sK20),cons(hd(sK20),nil)))
    | spl69_274 ),
    inference(avatar_component_clause,[],[f3109]) ).

fof(f3127,plain,
    ( spl69_275
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_268
    | ~ spl69_269 ),
    inference(avatar_split_clause,[],[f3118,f3070,f3058,f1503,f662,f3124]) ).

fof(f3118,plain,
    ( sK20 = app(sK25(sK20),cons(sK24(sK20),nil))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_268
    | ~ spl69_269 ),
    inference(forward_demodulation,[],[f3117,f3072]) ).

fof(f3117,plain,
    ( sK20 = app(tl(sK20),cons(sK24(sK20),nil))
    | ~ spl69_4
    | ~ spl69_138
    | ~ spl69_268 ),
    inference(forward_demodulation,[],[f3116,f3060]) ).

fof(f3115,plain,
    ( ~ spl69_263
    | ~ spl69_251
    | ~ spl69_4
    | ~ spl69_136
    | spl69_137 ),
    inference(avatar_split_clause,[],[f2977,f1499,f1434,f662,f2758,f2961]) ).

fof(f2977,plain,
    ( ~ ssList(tl(sK20))
    | ~ ssList(cons(hd(sK20),nil))
    | ~ spl69_4
    | ~ spl69_136
    | spl69_137 ),
    inference(forward_demodulation,[],[f2973,f664]) ).

fof(f2973,plain,
    ( ~ ssList(cons(hd(sK20),nil))
    | ~ ssList(tl(sK21))
    | ~ spl69_4
    | ~ spl69_136
    | spl69_137 ),
    inference(forward_demodulation,[],[f1528,f664]) ).

fof(f3112,plain,
    ( ~ spl69_274
    | ~ spl69_4
    | spl69_137 ),
    inference(avatar_split_clause,[],[f2617,f1499,f662,f3109]) ).

fof(f2617,plain,
    ( ~ ssList(app(tl(sK20),cons(hd(sK20),nil)))
    | ~ spl69_4
    | spl69_137 ),
    inference(superposition,[],[f1501,f664]) ).

fof(f3107,plain,
    ( ~ spl69_182
    | ~ spl69_4
    | spl69_199 ),
    inference(avatar_split_clause,[],[f2623,f2173,f662,f1992]) ).

fof(f2623,plain,
    ( ~ sP4(sK20)
    | ~ spl69_4
    | spl69_199 ),
    inference(superposition,[],[f2175,f664]) ).

fof(f3105,plain,
    ( spl69_273
    | ~ spl69_2
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1746,f1618,f652,f3103]) ).

fof(f3103,plain,
    ( spl69_273
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK21)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_273])]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK21)) = X0 )
    | ~ spl69_2
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f654]) ).

fof(f3101,plain,
    ( spl69_272
    | ~ spl69_1
    | ~ spl69_164 ),
    inference(avatar_split_clause,[],[f1745,f1618,f647,f3099]) ).

fof(f1745,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK20)) = X0 )
    | ~ spl69_1
    | ~ spl69_164 ),
    inference(resolution,[],[f1619,f649]) ).

fof(f3096,plain,
    ( spl69_271
    | ~ spl69_2
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1716,f1614,f652,f3094]) ).

fof(f3094,plain,
    ( spl69_271
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | sK21 = tl(cons(X0,sK21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_271])]) ).

fof(f1716,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK21 = tl(cons(X0,sK21)) )
    | ~ spl69_2
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f654]) ).

fof(f3092,plain,
    ( spl69_270
    | ~ spl69_1
    | ~ spl69_163 ),
    inference(avatar_split_clause,[],[f1715,f1614,f647,f3090]) ).

fof(f1715,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK20 = tl(cons(X0,sK20)) )
    | ~ spl69_1
    | ~ spl69_163 ),
    inference(resolution,[],[f1615,f649]) ).

fof(f3073,plain,
    ( spl69_269
    | spl69_252
    | ~ spl69_1
    | ~ spl69_161 ),
    inference(avatar_split_clause,[],[f1687,f1606,f647,f2763,f3070]) ).

fof(f1687,plain,
    ( nil = sK20
    | tl(sK20) = sK25(sK20)
    | ~ spl69_1
    | ~ spl69_161 ),
    inference(resolution,[],[f1607,f649]) ).

fof(f3061,plain,
    ( spl69_268
    | spl69_252
    | ~ spl69_1
    | ~ spl69_160 ),
    inference(avatar_split_clause,[],[f1659,f1602,f647,f2763,f3058]) ).

fof(f1659,plain,
    ( nil = sK20
    | hd(sK20) = sK24(sK20)
    | ~ spl69_1
    | ~ spl69_160 ),
    inference(resolution,[],[f1603,f649]) ).

fof(f3020,plain,
    ( spl69_255
    | ~ spl69_4
    | ~ spl69_142 ),
    inference(avatar_split_clause,[],[f3019,f1519,f662,f2798]) ).

fof(f2798,plain,
    ( spl69_255
  <=> neq(nil,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_255])]) ).

fof(f3019,plain,
    ( neq(nil,sK20)
    | ~ spl69_4
    | ~ spl69_142 ),
    inference(forward_demodulation,[],[f1520,f664]) ).

fof(f1520,plain,
    ( neq(nil,sK21)
    | ~ spl69_142 ),
    inference(avatar_component_clause,[],[f1519]) ).

fof(f3018,plain,
    ( ~ spl69_14
    | spl69_252
    | ~ spl69_1
    | ~ spl69_4
    | spl69_142
    | ~ spl69_165 ),
    inference(avatar_split_clause,[],[f2967,f1624,f1519,f662,f647,f2763,f711]) ).

fof(f2967,plain,
    ( ~ ssList(sK20)
    | nil = sK20
    | ~ ssList(nil)
    | ~ spl69_4
    | spl69_142
    | ~ spl69_165 ),
    inference(forward_demodulation,[],[f2966,f664]) ).

fof(f2966,plain,
    ( nil = sK20
    | ~ ssList(sK21)
    | ~ ssList(nil)
    | ~ spl69_4
    | spl69_142
    | ~ spl69_165 ),
    inference(forward_demodulation,[],[f1771,f664]) ).

fof(f3017,plain,
    ( spl69_267
    | ~ spl69_4
    | ~ spl69_111
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2747,f1507,f1280,f662,f3014]) ).

fof(f2747,plain,
    ( tl(sK20) = app(tl(sK20),nil)
    | ~ spl69_4
    | ~ spl69_111
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2590,f664]) ).

fof(f3012,plain,
    ( spl69_266
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2746,f1507,f1284,f662,f3009]) ).

fof(f2746,plain,
    ( tl(sK20) = app(nil,tl(sK20))
    | ~ spl69_4
    | ~ spl69_112
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2591,f664]) ).

fof(f3007,plain,
    ( ~ spl69_264
    | spl69_252
    | ~ spl69_265
    | ~ spl69_4
    | spl69_142
    | ~ spl69_148 ),
    inference(avatar_split_clause,[],[f2729,f1552,f1519,f662,f3004,f2763,f3000]) ).

fof(f3000,plain,
    ( spl69_264
  <=> ssItem(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_264])]) ).

fof(f3004,plain,
    ( spl69_265
  <=> ssItem(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_265])]) ).

fof(f1552,plain,
    ( spl69_148
  <=> ! [X0,X1] :
        ( neq(X0,X1)
        | X0 = X1
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_148])]) ).

fof(f2729,plain,
    ( ~ ssItem(sK20)
    | nil = sK20
    | ~ ssItem(nil)
    | ~ spl69_4
    | spl69_142
    | ~ spl69_148 ),
    inference(forward_demodulation,[],[f2728,f664]) ).

fof(f2728,plain,
    ( nil = sK20
    | ~ ssItem(sK21)
    | ~ ssItem(nil)
    | ~ spl69_4
    | spl69_142
    | ~ spl69_148 ),
    inference(forward_demodulation,[],[f1633,f664]) ).

fof(f1633,plain,
    ( nil = sK21
    | ~ ssItem(sK21)
    | ~ ssItem(nil)
    | spl69_142
    | ~ spl69_148 ),
    inference(resolution,[],[f1553,f1521]) ).

fof(f1553,plain,
    ( ! [X0,X1] :
        ( neq(X0,X1)
        | X0 = X1
        | ~ ssItem(X1)
        | ~ ssItem(X0) )
    | ~ spl69_148 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f2976,plain,
    ( spl69_263
    | ~ spl69_4
    | ~ spl69_140 ),
    inference(avatar_split_clause,[],[f2974,f1511,f662,f2961]) ).

fof(f2974,plain,
    ( ssList(cons(hd(sK20),nil))
    | ~ spl69_4
    | ~ spl69_140 ),
    inference(forward_demodulation,[],[f1512,f664]) ).

fof(f2975,plain,
    ( ~ spl69_183
    | ~ spl69_4
    | spl69_198 ),
    inference(avatar_split_clause,[],[f2622,f2169,f662,f1996]) ).

fof(f2622,plain,
    ( ~ equalelemsP(sK20)
    | ~ spl69_4
    | spl69_198 ),
    inference(superposition,[],[f2170,f664]) ).

fof(f2170,plain,
    ( ~ equalelemsP(sK21)
    | spl69_198 ),
    inference(avatar_component_clause,[],[f2169]) ).

fof(f2972,plain,
    ( ~ spl69_14
    | ~ spl69_254
    | ~ spl69_4
    | ~ spl69_135
    | spl69_140 ),
    inference(avatar_split_clause,[],[f2968,f1511,f1430,f662,f2793,f711]) ).

fof(f2968,plain,
    ( ~ ssItem(hd(sK20))
    | ~ ssList(nil)
    | ~ spl69_4
    | ~ spl69_135
    | spl69_140 ),
    inference(forward_demodulation,[],[f1527,f664]) ).

fof(f2970,plain,
    ( spl69_254
    | ~ spl69_4
    | ~ spl69_141 ),
    inference(avatar_split_clause,[],[f2969,f1515,f662,f2793]) ).

fof(f2969,plain,
    ( ssItem(hd(sK20))
    | ~ spl69_4
    | ~ spl69_141 ),
    inference(forward_demodulation,[],[f1516,f664]) ).

fof(f2965,plain,
    ( spl69_252
    | ~ spl69_1
    | ~ spl69_4
    | ~ spl69_128
    | spl69_141 ),
    inference(avatar_split_clause,[],[f2719,f1515,f1400,f662,f647,f2763]) ).

fof(f2719,plain,
    ( ~ ssList(sK20)
    | nil = sK20
    | ~ spl69_4
    | ~ spl69_128
    | spl69_141 ),
    inference(forward_demodulation,[],[f2718,f664]) ).

fof(f2718,plain,
    ( nil = sK20
    | ~ ssList(sK21)
    | ~ spl69_4
    | ~ spl69_128
    | spl69_141 ),
    inference(forward_demodulation,[],[f1526,f664]) ).

fof(f2964,plain,
    ( ~ spl69_263
    | ~ spl69_4
    | spl69_140 ),
    inference(avatar_split_clause,[],[f2619,f1511,f662,f2961]) ).

fof(f2619,plain,
    ( ~ ssList(cons(hd(sK20),nil))
    | ~ spl69_4
    | spl69_140 ),
    inference(superposition,[],[f1513,f664]) ).

fof(f2836,plain,
    ( spl69_262
    | ~ spl69_4
    | ~ spl69_21
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2753,f1507,f743,f662,f2833]) ).

fof(f2753,plain,
    ( sP7(tl(sK20))
    | ~ spl69_4
    | ~ spl69_21
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2584,f664]) ).

fof(f2831,plain,
    ( spl69_261
    | ~ spl69_4
    | ~ spl69_22
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2752,f1507,f747,f662,f2828]) ).

fof(f2752,plain,
    ( sP9(tl(sK20))
    | ~ spl69_4
    | ~ spl69_22
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2585,f664]) ).

fof(f2826,plain,
    ( spl69_260
    | ~ spl69_4
    | ~ spl69_23
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2751,f1507,f751,f662,f2823]) ).

fof(f2751,plain,
    ( sP11(tl(sK20))
    | ~ spl69_4
    | ~ spl69_23
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2586,f664]) ).

fof(f2821,plain,
    ( spl69_259
    | ~ spl69_4
    | ~ spl69_24
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2750,f1507,f755,f662,f2818]) ).

fof(f2750,plain,
    ( sP13(tl(sK20))
    | ~ spl69_4
    | ~ spl69_24
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2587,f664]) ).

fof(f2816,plain,
    ( spl69_258
    | ~ spl69_4
    | ~ spl69_25
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2749,f1507,f759,f662,f2813]) ).

fof(f2749,plain,
    ( sP15(tl(sK20))
    | ~ spl69_4
    | ~ spl69_25
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2588,f664]) ).

fof(f2811,plain,
    ( spl69_257
    | ~ spl69_4
    | ~ spl69_26
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2748,f1507,f763,f662,f2808]) ).

fof(f2748,plain,
    ( sP17(tl(sK20))
    | ~ spl69_4
    | ~ spl69_26
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f2589,f664]) ).

fof(f2806,plain,
    ( spl69_256
    | ~ spl69_4
    | ~ spl69_248 ),
    inference(avatar_split_clause,[],[f2730,f2604,f662,f2803]) ).

fof(f2730,plain,
    ( sP5(tl(sK20))
    | ~ spl69_4
    | ~ spl69_248 ),
    inference(forward_demodulation,[],[f2606,f664]) ).

fof(f2801,plain,
    ( ~ spl69_255
    | ~ spl69_4
    | spl69_142 ),
    inference(avatar_split_clause,[],[f2621,f1519,f662,f2798]) ).

fof(f2621,plain,
    ( ~ neq(nil,sK20)
    | ~ spl69_4
    | spl69_142 ),
    inference(superposition,[],[f1521,f664]) ).

fof(f2796,plain,
    ( ~ spl69_254
    | ~ spl69_4
    | spl69_141 ),
    inference(avatar_split_clause,[],[f2620,f1515,f662,f2793]) ).

fof(f2620,plain,
    ( ~ ssItem(hd(sK20))
    | ~ spl69_4
    | spl69_141 ),
    inference(superposition,[],[f1517,f664]) ).

fof(f2791,plain,
    ( spl69_253
    | ~ spl69_3
    | ~ spl69_4 ),
    inference(avatar_split_clause,[],[f2609,f662,f657,f2788]) ).

fof(f2788,plain,
    ( spl69_253
  <=> neq(sK20,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_253])]) ).

fof(f2766,plain,
    ( ~ spl69_252
    | ~ spl69_4
    | spl69_5 ),
    inference(avatar_split_clause,[],[f2756,f666,f662,f2763]) ).

fof(f2756,plain,
    ( nil != sK20
    | ~ spl69_4
    | spl69_5 ),
    inference(forward_demodulation,[],[f668,f664]) ).

fof(f668,plain,
    ( nil != sK21
    | spl69_5 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2761,plain,
    ( spl69_251
    | ~ spl69_4
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2755,f1507,f662,f2758]) ).

fof(f2755,plain,
    ( ssList(tl(sK20))
    | ~ spl69_4
    | ~ spl69_139 ),
    inference(forward_demodulation,[],[f1508,f664]) ).

fof(f2717,plain,
    ( spl69_250
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_9 ),
    inference(avatar_split_clause,[],[f2672,f686,f666,f662,f2714]) ).

fof(f2672,plain,
    ( cyclefreeP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_9 ),
    inference(forward_demodulation,[],[f2640,f664]) ).

fof(f2712,plain,
    ( spl69_216
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_8 ),
    inference(avatar_split_clause,[],[f2671,f681,f666,f662,f2318]) ).

fof(f681,plain,
    ( spl69_8
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).

fof(f2671,plain,
    ( duplicatefreeP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_8 ),
    inference(forward_demodulation,[],[f2639,f664]) ).

fof(f2639,plain,
    ( duplicatefreeP(sK21)
    | ~ spl69_5
    | ~ spl69_8 ),
    inference(superposition,[],[f683,f667]) ).

fof(f683,plain,
    ( duplicatefreeP(nil)
    | ~ spl69_8 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f2711,plain,
    ( spl69_183
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_7 ),
    inference(avatar_split_clause,[],[f2670,f676,f666,f662,f1996]) ).

fof(f676,plain,
    ( spl69_7
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).

fof(f2670,plain,
    ( equalelemsP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_7 ),
    inference(forward_demodulation,[],[f2638,f664]) ).

fof(f2638,plain,
    ( equalelemsP(sK21)
    | ~ spl69_5
    | ~ spl69_7 ),
    inference(superposition,[],[f678,f667]) ).

fof(f678,plain,
    ( equalelemsP(nil)
    | ~ spl69_7 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f2708,plain,
    ( ~ spl69_249
    | ~ spl69_4
    | ~ spl69_5
    | spl69_6 ),
    inference(avatar_split_clause,[],[f2669,f671,f666,f662,f2705]) ).

fof(f2705,plain,
    ( spl69_249
  <=> singletonP(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_249])]) ).

fof(f2669,plain,
    ( ~ singletonP(sK20)
    | ~ spl69_4
    | ~ spl69_5
    | spl69_6 ),
    inference(forward_demodulation,[],[f2637,f664]) ).

fof(f2607,plain,
    ( spl69_248
    | ~ spl69_20
    | ~ spl69_139 ),
    inference(avatar_split_clause,[],[f2583,f1507,f739,f2604]) ).

fof(f2582,plain,
    ( ~ spl69_2
    | spl69_5
    | ~ spl69_129
    | spl69_139 ),
    inference(avatar_split_clause,[],[f1523,f1507,f1404,f666,f652]) ).

fof(f1523,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | ~ spl69_129
    | spl69_139 ),
    inference(resolution,[],[f1509,f1405]) ).

fof(f2581,plain,
    ( spl69_247
    | ~ spl69_2
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1360,f1284,f652,f2578]) ).

fof(f1360,plain,
    ( sK21 = app(nil,sK21)
    | ~ spl69_2
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f654]) ).

fof(f2576,plain,
    ( spl69_246
    | ~ spl69_1
    | ~ spl69_112 ),
    inference(avatar_split_clause,[],[f1359,f1284,f647,f2573]) ).

fof(f1359,plain,
    ( sK20 = app(nil,sK20)
    | ~ spl69_1
    | ~ spl69_112 ),
    inference(resolution,[],[f1285,f649]) ).

fof(f2571,plain,
    ( spl69_245
    | ~ spl69_2
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1335,f1280,f652,f2568]) ).

fof(f1335,plain,
    ( sK21 = app(sK21,nil)
    | ~ spl69_2
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f654]) ).

fof(f2566,plain,
    ( spl69_244
    | ~ spl69_1
    | ~ spl69_111 ),
    inference(avatar_split_clause,[],[f1334,f1280,f647,f2563]) ).

fof(f1334,plain,
    ( sK20 = app(sK20,nil)
    | ~ spl69_1
    | ~ spl69_111 ),
    inference(resolution,[],[f1281,f649]) ).

fof(f2556,plain,
    spl69_243,
    inference(avatar_split_clause,[],[f624,f2554]) ).

fof(f624,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ leq(X7,X6)
      | ~ leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f517]) ).

fof(f517,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( ~ leq(X7,X6)
      | ~ leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f329,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ( leq(sK47(X0),sK46(X0))
          & leq(sK46(X0),sK47(X0))
          & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
          & ssList(sK50(X0))
          & ssList(sK49(X0))
          & ssList(sK48(X0))
          & ssItem(sK47(X0))
          & ssItem(sK46(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ~ leq(X7,X6)
                            | ~ leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP12(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49,sK50])],[f323,f328,f327,f326,f325,f324]) ).

fof(f324,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( leq(X2,X1)
                          & leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( leq(X2,sK46(X0))
                        & leq(sK46(X0),X2)
                        & app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK46(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f325,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( leq(X2,sK46(X0))
                      & leq(sK46(X0),X2)
                      & app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( leq(sK47(X0),sK46(X0))
                    & leq(sK46(X0),sK47(X0))
                    & app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK47(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f326,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( leq(sK47(X0),sK46(X0))
                  & leq(sK46(X0),sK47(X0))
                  & app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( leq(sK47(X0),sK46(X0))
                & leq(sK46(X0),sK47(X0))
                & app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK48(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f327,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( leq(sK47(X0),sK46(X0))
              & leq(sK46(X0),sK47(X0))
              & app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( leq(sK47(X0),sK46(X0))
            & leq(sK46(X0),sK47(X0))
            & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK49(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f328,plain,
    ! [X0] :
      ( ? [X5] :
          ( leq(sK47(X0),sK46(X0))
          & leq(sK46(X0),sK47(X0))
          & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
          & ssList(X5) )
     => ( leq(sK47(X0),sK46(X0))
        & leq(sK46(X0),sK47(X0))
        & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
        & ssList(sK50(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f323,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( leq(X2,X1)
                            & leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ~ leq(X7,X6)
                            | ~ leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP12(X0) ) ),
    inference(rectify,[],[f322]) ).

fof(f322,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( leq(X2,X1)
                            & leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP12(X0) ) ),
    inference(nnf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0] :
      ( sP12(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ~ leq(X2,X1)
                          | ~ leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f2552,plain,
    spl69_242,
    inference(avatar_split_clause,[],[f623,f2550]) ).

fof(f623,plain,
    ! [X10,X8,X6,X9,X7] :
      ( lt(X7,X6)
      | lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f505]) ).

fof(f505,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( lt(X7,X6)
      | lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f320,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ( ~ lt(sK42(X0),sK41(X0))
          & ~ lt(sK41(X0),sK42(X0))
          & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
          & ssList(sK45(X0))
          & ssList(sK44(X0))
          & ssList(sK43(X0))
          & ssItem(sK42(X0))
          & ssItem(sK41(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X7,X6)
                            | lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP10(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45])],[f314,f319,f318,f317,f316,f315]) ).

fof(f315,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ lt(X2,X1)
                          & ~ lt(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ lt(X2,sK41(X0))
                        & ~ lt(sK41(X0),X2)
                        & app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK41(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f316,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ lt(X2,sK41(X0))
                      & ~ lt(sK41(X0),X2)
                      & app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ lt(sK42(X0),sK41(X0))
                    & ~ lt(sK41(X0),sK42(X0))
                    & app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK42(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f317,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ lt(sK42(X0),sK41(X0))
                  & ~ lt(sK41(X0),sK42(X0))
                  & app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ lt(sK42(X0),sK41(X0))
                & ~ lt(sK41(X0),sK42(X0))
                & app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK43(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f318,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ lt(sK42(X0),sK41(X0))
              & ~ lt(sK41(X0),sK42(X0))
              & app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ lt(sK42(X0),sK41(X0))
            & ~ lt(sK41(X0),sK42(X0))
            & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK44(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f319,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ lt(sK42(X0),sK41(X0))
          & ~ lt(sK41(X0),sK42(X0))
          & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ lt(sK42(X0),sK41(X0))
        & ~ lt(sK41(X0),sK42(X0))
        & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
        & ssList(sK45(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f314,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X2,X1)
                            & ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X7,X6)
                            | lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP10(X0) ) ),
    inference(rectify,[],[f313]) ).

fof(f313,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X2,X1)
                            & ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP10(X0) ) ),
    inference(nnf_transformation,[],[f239]) ).

fof(f239,plain,
    ! [X0] :
      ( sP10(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( lt(X2,X1)
                          | lt(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f2548,plain,
    spl69_241,
    inference(avatar_split_clause,[],[f622,f2546]) ).

fof(f622,plain,
    ! [X10,X8,X6,X9,X7] :
      ( leq(X7,X6)
      | leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f493]) ).

fof(f493,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( leq(X7,X6)
      | leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ( ~ leq(sK37(X0),sK36(X0))
          & ~ leq(sK36(X0),sK37(X0))
          & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
          & ssList(sK40(X0))
          & ssList(sK39(X0))
          & ssList(sK38(X0))
          & ssItem(sK37(X0))
          & ssItem(sK36(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X7,X6)
                            | leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP8(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f305,f310,f309,f308,f307,f306]) ).

fof(f306,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ leq(X2,X1)
                          & ~ leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ leq(X2,sK36(X0))
                        & ~ leq(sK36(X0),X2)
                        & app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK36(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f307,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ leq(X2,sK36(X0))
                      & ~ leq(sK36(X0),X2)
                      & app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ leq(sK37(X0),sK36(X0))
                    & ~ leq(sK36(X0),sK37(X0))
                    & app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK37(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f308,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ leq(sK37(X0),sK36(X0))
                  & ~ leq(sK36(X0),sK37(X0))
                  & app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ leq(sK37(X0),sK36(X0))
                & ~ leq(sK36(X0),sK37(X0))
                & app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK38(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ leq(sK37(X0),sK36(X0))
              & ~ leq(sK36(X0),sK37(X0))
              & app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ leq(sK37(X0),sK36(X0))
            & ~ leq(sK36(X0),sK37(X0))
            & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK39(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f310,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ leq(sK37(X0),sK36(X0))
          & ~ leq(sK36(X0),sK37(X0))
          & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ leq(sK37(X0),sK36(X0))
        & ~ leq(sK36(X0),sK37(X0))
        & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
        & ssList(sK40(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f305,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X2,X1)
                            & ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X7,X6)
                            | leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP8(X0) ) ),
    inference(rectify,[],[f304]) ).

fof(f304,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X2,X1)
                            & ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP8(X0) ) ),
    inference(nnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( sP8(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( leq(X2,X1)
                          | leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f2540,plain,
    spl69_240,
    inference(avatar_split_clause,[],[f626,f2538]) ).

fof(f626,plain,
    ! [X10,X8,X6,X9,X7] :
      ( lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f540]) ).

fof(f540,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ( ~ lt(sK56(X0),sK57(X0))
          & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
          & ssList(sK60(X0))
          & ssList(sK59(X0))
          & ssList(sK58(X0))
          & ssItem(sK57(X0))
          & ssItem(sK56(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP16(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59,sK60])],[f341,f346,f345,f344,f343,f342]) ).

fof(f342,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ lt(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ lt(sK56(X0),X2)
                        & app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK56(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f343,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ lt(sK56(X0),X2)
                      & app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ lt(sK56(X0),sK57(X0))
                    & app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK57(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ lt(sK56(X0),sK57(X0))
                  & app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ lt(sK56(X0),sK57(X0))
                & app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK58(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ lt(sK56(X0),sK57(X0))
              & app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ lt(sK56(X0),sK57(X0))
            & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK59(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ lt(sK56(X0),sK57(X0))
          & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ lt(sK56(X0),sK57(X0))
        & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
        & ssList(sK60(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f341,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP16(X0) ) ),
    inference(rectify,[],[f340]) ).

fof(f340,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP16(X0) ) ),
    inference(nnf_transformation,[],[f248]) ).

fof(f248,plain,
    ! [X0] :
      ( sP16(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( lt(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f2536,plain,
    spl69_239,
    inference(avatar_split_clause,[],[f625,f2534]) ).

fof(f625,plain,
    ! [X10,X8,X6,X9,X7] :
      ( leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f529]) ).

fof(f529,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f338,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ( ~ leq(sK51(X0),sK52(X0))
          & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
          & ssList(sK55(X0))
          & ssList(sK54(X0))
          & ssList(sK53(X0))
          & ssItem(sK52(X0))
          & ssItem(sK51(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP14(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55])],[f332,f337,f336,f335,f334,f333]) ).

fof(f333,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ leq(sK51(X0),X2)
                        & app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK51(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ leq(sK51(X0),X2)
                      & app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ leq(sK51(X0),sK52(X0))
                    & app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK52(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ leq(sK51(X0),sK52(X0))
                  & app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ leq(sK51(X0),sK52(X0))
                & app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK53(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ leq(sK51(X0),sK52(X0))
              & app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ leq(sK51(X0),sK52(X0))
            & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK54(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f337,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ leq(sK51(X0),sK52(X0))
          & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ leq(sK51(X0),sK52(X0))
        & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
        & ssList(sK55(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f332,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP14(X0) ) ),
    inference(rectify,[],[f331]) ).

fof(f331,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP14(X0) ) ),
    inference(nnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( sP14(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f2532,plain,
    spl69_238,
    inference(avatar_split_clause,[],[f568,f2530]) ).

fof(f2530,plain,
    ( spl69_238
  <=> ! [X0,X1] :
        ( X0 = X1
        | tl(X0) != tl(X1)
        | hd(X0) != hd(X1)
        | nil = X0
        | nil = X1
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_238])]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( X0 = X1
      | tl(X0) != tl(X1)
      | hd(X0) != hd(X1)
      | nil = X0
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | tl(X0) != tl(X1)
          | hd(X0) != hd(X1)
          | nil = X0
          | nil = X1
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | tl(X0) != tl(X1)
          | hd(X0) != hd(X1)
          | nil = X0
          | nil = X1
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( tl(X0) = tl(X1)
              & hd(X0) = hd(X1)
              & nil != X0
              & nil != X1 )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(f2517,plain,
    spl69_237,
    inference(avatar_split_clause,[],[f633,f2515]) ).

fof(f633,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f580]) ).

fof(f580,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f365,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
                & ssList(sK65(X0,X1))
                & ssList(sK64(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f362,f364,f363]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK64(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK64(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK64(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
        & ssList(sK65(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f362,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f361]) ).

fof(f361,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f2513,plain,
    spl69_236,
    inference(avatar_split_clause,[],[f630,f2511]) ).

fof(f630,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X2,cons(X1,X3))) ),
    inference(equality_resolution,[],[f564]) ).

fof(f564,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f355,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
                & ssList(sK62(X0,X1))
                & ssList(sK61(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f352,f354,f353]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X4,cons(X1,X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(sK61(X0,X1),cons(X1,X5)) = X0
            & ssList(X5) )
        & ssList(sK61(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(sK61(X0,X1),cons(X1,X5)) = X0
          & ssList(X5) )
     => ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
        & ssList(sK62(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f352,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(X4,cons(X1,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f351]) ).

fof(f351,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(X2,cons(X1,X3)) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f2509,plain,
    spl69_235,
    inference(avatar_split_clause,[],[f619,f2507]) ).

fof(f619,plain,
    ! [X8,X6,X7,X5] :
      ( X5 = X6
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssItem(X5)
      | ~ sP4(app(X7,cons(X5,cons(X6,X8)))) ),
    inference(equality_resolution,[],[f472]) ).

fof(f472,plain,
    ! [X0,X8,X6,X7,X5] :
      ( X5 = X6
      | app(X7,cons(X5,cons(X6,X8))) != X0
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssItem(X5)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f293,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( sK27(X0) != sK28(X0)
          & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
          & ssList(sK30(X0))
          & ssList(sK29(X0))
          & ssItem(sK28(X0))
          & ssItem(sK27(X0)) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( X5 = X6
                        | app(X7,cons(X5,cons(X6,X8))) != X0
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            | ~ ssItem(X5) )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f288,f292,f291,f290,f289]) ).

fof(f289,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( X1 != X2
                      & app(X3,cons(X1,cons(X2,X4))) = X0
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( sK27(X0) != X2
                    & app(X3,cons(sK27(X0),cons(X2,X4))) = X0
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK27(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f290,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( sK27(X0) != X2
                  & app(X3,cons(sK27(X0),cons(X2,X4))) = X0
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( sK27(X0) != sK28(X0)
                & app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK28(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f291,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( sK27(X0) != sK28(X0)
              & app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( sK27(X0) != sK28(X0)
            & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
            & ssList(X4) )
        & ssList(sK29(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f292,plain,
    ! [X0] :
      ( ? [X4] :
          ( sK27(X0) != sK28(X0)
          & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
          & ssList(X4) )
     => ( sK27(X0) != sK28(X0)
        & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
        & ssList(sK30(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f288,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( X1 != X2
                        & app(X3,cons(X1,cons(X2,X4))) = X0
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( X5 = X6
                        | app(X7,cons(X5,cons(X6,X8))) != X0
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            | ~ ssItem(X5) )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f287]) ).

fof(f287,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( X1 != X2
                        & app(X3,cons(X1,cons(X2,X4))) = X0
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( X1 = X2
                      | app(X3,cons(X1,cons(X2,X4))) != X0
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f2495,plain,
    ( spl69_233
    | ~ spl69_234
    | ~ spl69_64
    | ~ spl69_95 ),
    inference(avatar_split_clause,[],[f1381,f1211,f939,f2492,f2488]) ).

fof(f939,plain,
    ( spl69_64
  <=> sP7(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_64])]) ).

fof(f1381,plain,
    ( ~ sP6(sK21)
    | duplicatefreeP(sK21)
    | ~ spl69_64
    | ~ spl69_95 ),
    inference(resolution,[],[f941,f1212]) ).

fof(f941,plain,
    ( sP7(sK21)
    | ~ spl69_64 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f2461,plain,
    spl69_232,
    inference(avatar_split_clause,[],[f639,f2459]) ).

fof(f639,plain,
    ! [X10,X8,X9,X7] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(duplicate_literal_removal,[],[f621]) ).

fof(f621,plain,
    ! [X10,X8,X9,X7] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f620]) ).

fof(f620,plain,
    ! [X10,X0,X8,X9,X7] :
      ( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ sP6(X0) ),
    inference(equality_resolution,[],[f482]) ).

fof(f482,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( X6 != X7
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ( sK31(X0) = sK32(X0)
          & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
          & ssList(sK35(X0))
          & ssList(sK34(X0))
          & ssList(sK33(X0))
          & ssItem(sK32(X0))
          & ssItem(sK31(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( X6 != X7
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP6(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35])],[f296,f301,f300,f299,f298,f297]) ).

fof(f297,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( X1 = X2
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( sK31(X0) = X2
                        & app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK31(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f298,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( sK31(X0) = X2
                      & app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( sK31(X0) = sK32(X0)
                    & app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK32(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f299,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sK31(X0) = sK32(X0)
                  & app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( sK31(X0) = sK32(X0)
                & app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK33(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( sK31(X0) = sK32(X0)
              & app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( sK31(X0) = sK32(X0)
            & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK34(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f301,plain,
    ! [X0] :
      ( ? [X5] :
          ( sK31(X0) = sK32(X0)
          & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
          & ssList(X5) )
     => ( sK31(X0) = sK32(X0)
        & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
        & ssList(sK35(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f296,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( X1 = X2
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( X6 != X7
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP6(X0) ) ),
    inference(rectify,[],[f295]) ).

fof(f295,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( X1 = X2
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP6(X0) ) ),
    inference(nnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( sP6(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( X1 != X2
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f2457,plain,
    spl69_231,
    inference(avatar_split_clause,[],[f598,f2455]) ).

fof(f598,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X2,X0),X3),X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f223,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( segmentP(X0,X1)
                   => segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f2453,plain,
    spl69_230,
    inference(avatar_split_clause,[],[f589,f2451]) ).

fof(f2451,plain,
    ( spl69_230
  <=> ! [X0,X3,X2,X1] :
        ( X0 = X1
        | cons(X2,X0) != cons(X3,X1)
        | ~ ssItem(X3)
        | ~ ssItem(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_230])]) ).

fof(f589,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | cons(X2,X0) != cons(X3,X1)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ! [X3] :
                  ( ssItem(X3)
                 => ( cons(X2,X0) = cons(X3,X1)
                   => ( X0 = X1
                      & X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f2449,plain,
    spl69_229,
    inference(avatar_split_clause,[],[f588,f2447]) ).

fof(f2447,plain,
    ( spl69_229
  <=> ! [X0,X3,X2,X1] :
        ( X2 = X3
        | cons(X2,X0) != cons(X3,X1)
        | ~ ssItem(X3)
        | ~ ssItem(X2)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_229])]) ).

fof(f588,plain,
    ! [X2,X3,X0,X1] :
      ( X2 = X3
      | cons(X2,X0) != cons(X3,X1)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f2445,plain,
    spl69_228,
    inference(avatar_split_clause,[],[f579,f2443]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f2441,plain,
    spl69_227,
    inference(avatar_split_clause,[],[f563,f2439]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f2437,plain,
    spl69_226,
    inference(avatar_split_clause,[],[f546,f2435]) ).

fof(f546,plain,
    ! [X0] :
      ( sP16(X0)
      | app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f2433,plain,
    spl69_225,
    inference(avatar_split_clause,[],[f535,f2431]) ).

fof(f535,plain,
    ! [X0] :
      ( sP14(X0)
      | app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
    inference(cnf_transformation,[],[f338]) ).

fof(f2429,plain,
    spl69_224,
    inference(avatar_split_clause,[],[f523,f2427]) ).

fof(f523,plain,
    ! [X0] :
      ( sP12(X0)
      | app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
    inference(cnf_transformation,[],[f329]) ).

fof(f2425,plain,
    spl69_223,
    inference(avatar_split_clause,[],[f511,f2423]) ).

fof(f511,plain,
    ! [X0] :
      ( sP10(X0)
      | app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
    inference(cnf_transformation,[],[f320]) ).

fof(f2421,plain,
    spl69_222,
    inference(avatar_split_clause,[],[f499,f2419]) ).

fof(f499,plain,
    ! [X0] :
      ( sP8(X0)
      | app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
    inference(cnf_transformation,[],[f311]) ).

fof(f2417,plain,
    spl69_221,
    inference(avatar_split_clause,[],[f488,f2415]) ).

fof(f488,plain,
    ! [X0] :
      ( sP6(X0)
      | app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
    inference(cnf_transformation,[],[f302]) ).

fof(f2413,plain,
    spl69_220,
    inference(avatar_split_clause,[],[f428,f2411]) ).

fof(f2411,plain,
    ( spl69_220
  <=> ! [X0,X3,X2,X1] :
        ( frontsegP(X2,X3)
        | ~ frontsegP(cons(X0,X2),cons(X1,X3))
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_220])]) ).

fof(f428,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X2,X3)
      | ~ frontsegP(cons(X0,X2),cons(X1,X3))
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f2409,plain,
    spl69_219,
    inference(avatar_split_clause,[],[f427,f2407]) ).

fof(f2407,plain,
    ( spl69_219
  <=> ! [X0,X3,X2,X1] :
        ( X0 = X1
        | ~ frontsegP(cons(X0,X2),cons(X1,X3))
        | ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_219])]) ).

fof(f427,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ frontsegP(cons(X0,X2),cons(X1,X3))
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f2329,plain,
    spl69_218,
    inference(avatar_split_clause,[],[f590,f2327]) ).

fof(f590,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f2325,plain,
    ( spl69_216
    | ~ spl69_217
    | ~ spl69_53
    | ~ spl69_95 ),
    inference(avatar_split_clause,[],[f1356,f1211,f894,f2322,f2318]) ).

fof(f894,plain,
    ( spl69_53
  <=> sP7(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).

fof(f1356,plain,
    ( ~ sP6(sK20)
    | duplicatefreeP(sK20)
    | ~ spl69_53
    | ~ spl69_95 ),
    inference(resolution,[],[f896,f1212]) ).

fof(f896,plain,
    ( sP7(sK20)
    | ~ spl69_53 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f2316,plain,
    spl69_215,
    inference(avatar_split_clause,[],[f587,f2314]) ).

fof(f587,plain,
    ! [X2,X0,X1] :
      ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f2312,plain,
    spl69_214,
    inference(avatar_split_clause,[],[f446,f2310]) ).

fof(f446,plain,
    ! [X2,X0,X1] :
      ( memberP(X2,X0)
      | memberP(X1,X0)
      | ~ memberP(app(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f2308,plain,
    spl69_213,
    inference(avatar_split_clause,[],[f424,f2306]) ).

fof(f2306,plain,
    ( spl69_213
  <=> ! [X2,X0,X1] :
        ( memberP(X2,X0)
        | X0 = X1
        | ~ memberP(cons(X1,X2),X0)
        | ~ ssList(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_213])]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( memberP(X2,X0)
      | X0 = X1
      | ~ memberP(cons(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f2263,plain,
    spl69_212,
    inference(avatar_split_clause,[],[f640,f2261]) ).

fof(f640,plain,
    ! [X2,X3,X1] :
      ( frontsegP(cons(X1,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f613]) ).

fof(f613,plain,
    ! [X2,X3,X1] :
      ( frontsegP(cons(X1,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f429]) ).

fof(f429,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(cons(X0,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | X0 != X1
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f2259,plain,
    spl69_211,
    inference(avatar_split_clause,[],[f594,f2257]) ).

fof(f594,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | app(X1,X2) != app(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X1,X2) = app(X1,X0)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f2255,plain,
    spl69_210,
    inference(avatar_split_clause,[],[f593,f2253]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | app(X2,X1) != app(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X2,X1) = app(X0,X1)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f2250,plain,
    spl69_209,
    inference(avatar_split_clause,[],[f567,f2248]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( tl(app(X0,X1)) = app(tl(X0),X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(f2216,plain,
    spl69_208,
    inference(avatar_split_clause,[],[f597,f2214]) ).

fof(f597,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X2)
      | ~ frontsegP(X1,X2)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( frontsegP(X1,X2)
                  & frontsegP(X0,X1) )
               => frontsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f2212,plain,
    spl69_207,
    inference(avatar_split_clause,[],[f596,f2210]) ).

fof(f596,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X2)
      | ~ rearsegP(X1,X2)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( rearsegP(X1,X2)
                  & rearsegP(X0,X1) )
               => rearsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f2208,plain,
    spl69_206,
    inference(avatar_split_clause,[],[f595,f2206]) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( segmentP(X0,X2)
      | ~ segmentP(X1,X2)
      | ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( segmentP(X1,X2)
                  & segmentP(X0,X1) )
               => segmentP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f2204,plain,
    spl69_205,
    inference(avatar_split_clause,[],[f477,f2202]) ).

fof(f477,plain,
    ! [X0] :
      ( sP4(X0)
      | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
    inference(cnf_transformation,[],[f293]) ).

fof(f2200,plain,
    spl69_204,
    inference(avatar_split_clause,[],[f423,f2198]) ).

fof(f423,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X2)
      | ~ lt(X1,X2)
      | ~ lt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & lt(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f2196,plain,
    spl69_203,
    inference(avatar_split_clause,[],[f422,f2194]) ).

fof(f422,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X2)
      | ~ lt(X1,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & leq(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f2192,plain,
    spl69_202,
    inference(avatar_split_clause,[],[f421,f2190]) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( leq(X1,X2)
                  & leq(X0,X1) )
               => leq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f2188,plain,
    spl69_201,
    inference(avatar_split_clause,[],[f420,f2186]) ).

fof(f2186,plain,
    ( spl69_201
  <=> ! [X2,X0,X1] :
        ( geq(X0,X2)
        | ~ geq(X1,X2)
        | ~ geq(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_201])]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( geq(X0,X2)
      | ~ geq(X1,X2)
      | ~ geq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( geq(X1,X2)
                  & geq(X0,X1) )
               => geq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f2184,plain,
    spl69_200,
    inference(avatar_split_clause,[],[f419,f2182]) ).

fof(f2182,plain,
    ( spl69_200
  <=> ! [X2,X0,X1] :
        ( gt(X0,X2)
        | ~ gt(X1,X2)
        | ~ gt(X0,X1)
        | ~ ssItem(X2)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_200])]) ).

fof(f419,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( gt(X1,X2)
                  & gt(X0,X1) )
               => gt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f2176,plain,
    ( spl69_198
    | ~ spl69_199
    | ~ spl69_32
    | ~ spl69_92 ),
    inference(avatar_split_clause,[],[f1303,f1198,f809,f2173,f2169]) ).

fof(f809,plain,
    ( spl69_32
  <=> sP5(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).

fof(f1303,plain,
    ( ~ sP4(sK21)
    | equalelemsP(sK21)
    | ~ spl69_32
    | ~ spl69_92 ),
    inference(resolution,[],[f811,f1199]) ).

fof(f811,plain,
    ( sP5(sK21)
    | ~ spl69_32 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f2117,plain,
    spl69_197,
    inference(avatar_split_clause,[],[f592,f2115]) ).

fof(f592,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( frontsegP(X0,X1)
               => frontsegP(app(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f2113,plain,
    spl69_196,
    inference(avatar_split_clause,[],[f591,f2111]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( rearsegP(X0,X1)
               => rearsegP(app(X2,X0),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f2109,plain,
    spl69_195,
    inference(avatar_split_clause,[],[f582,f2107]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( app(X1,sK66(X0,X1)) = X0
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f369,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK66(X0,X1)) = X0
                & ssList(sK66(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f367,f368]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK66(X0,X1)) = X0
        & ssList(sK66(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f367,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f366]) ).

fof(f366,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f2105,plain,
    spl69_194,
    inference(avatar_split_clause,[],[f575,f2103]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( app(sK63(X0,X1),X1) = X0
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f360,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK63(X0,X1),X1) = X0
                & ssList(sK63(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f358,f359]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK63(X0,X1),X1) = X0
        & ssList(sK63(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f358,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f357]) ).

fof(f357,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f2101,plain,
    spl69_193,
    inference(avatar_split_clause,[],[f566,f2099]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( hd(X0) = hd(app(X0,X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f2097,plain,
    spl69_192,
    inference(avatar_split_clause,[],[f448,f2095]) ).

fof(f448,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f2093,plain,
    spl69_191,
    inference(avatar_split_clause,[],[f447,f2091]) ).

fof(f447,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f2089,plain,
    spl69_190,
    inference(avatar_split_clause,[],[f426,f2087]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f2023,plain,
    spl69_189,
    inference(avatar_split_clause,[],[f634,f2021]) ).

fof(f634,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f583]) ).

fof(f583,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f2019,plain,
    spl69_188,
    inference(avatar_split_clause,[],[f632,f2017]) ).

fof(f632,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f576]) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f2015,plain,
    spl69_187,
    inference(avatar_split_clause,[],[f571,f2013]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ frontsegP(X1,X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X1,X0)
              & frontsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f2011,plain,
    spl69_186,
    inference(avatar_split_clause,[],[f570,f2009]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ segmentP(X1,X0)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( segmentP(X1,X0)
              & segmentP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f2007,plain,
    spl69_185,
    inference(avatar_split_clause,[],[f569,f2005]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ rearsegP(X1,X0)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( rearsegP(X1,X0)
              & rearsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f2003,plain,
    spl69_184,
    inference(avatar_split_clause,[],[f560,f2001]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f1999,plain,
    ( spl69_182
    | ~ spl69_183
    | ~ spl69_27
    | ~ spl69_91 ),
    inference(avatar_split_clause,[],[f1259,f1194,f770,f1996,f1992]) ).

fof(f770,plain,
    ( spl69_27
  <=> sP5(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).

fof(f1259,plain,
    ( ~ equalelemsP(sK20)
    | sP4(sK20)
    | ~ spl69_27
    | ~ spl69_91 ),
    inference(resolution,[],[f1195,f772]) ).

fof(f772,plain,
    ( sP5(sK20)
    | ~ spl69_27 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f1990,plain,
    spl69_181,
    inference(avatar_split_clause,[],[f409,f1988]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X1,X0)
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( leq(X1,X0)
              & leq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f1986,plain,
    spl69_180,
    inference(avatar_split_clause,[],[f408,f1984]) ).

fof(f1984,plain,
    ( spl69_180
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ geq(X1,X0)
        | ~ geq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_180])]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X1,X0)
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( geq(X1,X0)
              & geq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

fof(f1982,plain,
    spl69_179,
    inference(avatar_split_clause,[],[f406,f1980]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( lt(X0,X1)
      | X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( leq(X0,X1)
           => ( lt(X0,X1)
              | X0 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

fof(f1905,plain,
    spl69_178,
    inference(avatar_split_clause,[],[f585,f1903]) ).

fof(f1903,plain,
    ( spl69_178
  <=> ! [X0,X1] :
        ( nil = X0
        | nil != app(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_178])]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f371,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f370]) ).

fof(f370,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f1899,plain,
    spl69_177,
    inference(avatar_split_clause,[],[f584,f1897]) ).

fof(f1897,plain,
    ( spl69_177
  <=> ! [X0,X1] :
        ( nil = X1
        | nil != app(X0,X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_177])]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f1895,plain,
    spl69_176,
    inference(avatar_split_clause,[],[f462,f1893]) ).

fof(f462,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f1891,plain,
    spl69_175,
    inference(avatar_split_clause,[],[f459,f1889]) ).

fof(f459,plain,
    ! [X0] :
      ( cons(sK23(X0),sK22(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0))
        & ssList(sK22(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f150,f276,f275]) ).

fof(f275,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK22(X0)) = X0
            & ssItem(X2) )
        & ssList(sK22(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f276,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK22(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f1887,plain,
    spl69_174,
    inference(avatar_split_clause,[],[f444,f1885]) ).

fof(f1885,plain,
    ( spl69_174
  <=> ! [X0,X1] :
        ( sP2(X0,X1)
        | ~ lt(X1,hd(X0))
        | ~ strictorderedP(X0)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_174])]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
      | ~ lt(X1,hd(X0))
      | ~ strictorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | ( ( ~ lt(X1,hd(X0))
            | ~ strictorderedP(X0)
            | nil = X0 )
          & nil != X0 ) )
      & ( ( lt(X1,hd(X0))
          & strictorderedP(X0)
          & nil != X0 )
        | nil = X0
        | ~ sP2(X0,X1) ) ),
    inference(rectify,[],[f271]) ).

fof(f271,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ( ( ~ lt(X0,hd(X1))
            | ~ strictorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP2(X1,X0) ) ),
    inference(flattening,[],[f270]) ).

fof(f270,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ( ( ~ lt(X0,hd(X1))
            | ~ strictorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP2(X1,X0) ) ),
    inference(nnf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X1,X0] :
      ( sP2(X1,X0)
    <=> ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1883,plain,
    spl69_173,
    inference(avatar_split_clause,[],[f436,f1881]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ~ leq(X1,hd(X0))
      | ~ totalorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ( ~ leq(X1,hd(X0))
            | ~ totalorderedP(X0)
            | nil = X0 )
          & nil != X0 ) )
      & ( ( leq(X1,hd(X0))
          & totalorderedP(X0)
          & nil != X0 )
        | nil = X0
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f267]) ).

fof(f267,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ( ( ~ leq(X0,hd(X1))
            | ~ totalorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f266]) ).

fof(f266,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ( ( ~ leq(X0,hd(X1))
            | ~ totalorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1799,plain,
    spl69_172,
    inference(avatar_split_clause,[],[f581,f1797]) ).

fof(f581,plain,
    ! [X0,X1] :
      ( ssList(sK66(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f1795,plain,
    spl69_171,
    inference(avatar_split_clause,[],[f578,f1793]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( ssList(sK65(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f1791,plain,
    spl69_170,
    inference(avatar_split_clause,[],[f577,f1789]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ssList(sK64(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f1787,plain,
    spl69_169,
    inference(avatar_split_clause,[],[f574,f1785]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( ssList(sK63(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f1783,plain,
    spl69_168,
    inference(avatar_split_clause,[],[f562,f1781]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ssList(sK62(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f1779,plain,
    spl69_167,
    inference(avatar_split_clause,[],[f561,f1777]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( ssList(sK61(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f1630,plain,
    spl69_166,
    inference(avatar_split_clause,[],[f618,f1628]) ).

fof(f618,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(equality_resolution,[],[f469]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( singletonP(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f285,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ( cons(sK26(X0),nil) = X0
            & ssItem(sK26(X0)) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f283,f284]) ).

fof(f284,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,nil) = X0
          & ssItem(X2) )
     => ( cons(sK26(X0),nil) = X0
        & ssItem(sK26(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f283,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X2] :
              ( cons(X2,nil) = X0
              & ssItem(X2) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f282]) ).

fof(f282,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f1626,plain,
    spl69_165,
    inference(avatar_split_clause,[],[f573,f1624]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f1620,plain,
    spl69_164,
    inference(avatar_split_clause,[],[f559,f1618]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f1616,plain,
    spl69_163,
    inference(avatar_split_clause,[],[f558,f1614]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f1612,plain,
    spl69_162,
    inference(avatar_split_clause,[],[f468,f1610]) ).

fof(f1610,plain,
    ( spl69_162
  <=> ! [X0] :
        ( cons(sK26(X0),nil) = X0
        | ~ singletonP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_162])]) ).

fof(f468,plain,
    ! [X0] :
      ( cons(sK26(X0),nil) = X0
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f1608,plain,
    spl69_161,
    inference(avatar_split_clause,[],[f466,f1606]) ).

fof(f466,plain,
    ! [X0] :
      ( tl(X0) = sK25(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f160,f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
     => ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( tl(X0) = X1
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f1604,plain,
    spl69_160,
    inference(avatar_split_clause,[],[f464,f1602]) ).

fof(f464,plain,
    ! [X0] :
      ( hd(X0) = sK24(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f158,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
     => ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( hd(X0) = X1
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(f1600,plain,
    spl69_159,
    inference(avatar_split_clause,[],[f442,f1598]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( lt(X1,hd(X0))
      | nil = X0
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f1596,plain,
    spl69_158,
    inference(avatar_split_clause,[],[f439,f1594]) ).

fof(f1594,plain,
    ( spl69_158
  <=> ! [X0,X1] :
        ( strictorderedP(cons(X0,X1))
        | ~ sP2(X1,X0)
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_158])]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | ~ sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ( ( strictorderedP(cons(X0,X1))
          | ~ sP2(X1,X0) )
        & ( sP2(X1,X0)
          | ~ strictorderedP(cons(X0,X1)) ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ( strictorderedP(cons(X0,X1))
      <=> sP2(X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1592,plain,
    spl69_157,
    inference(avatar_split_clause,[],[f438,f1590]) ).

fof(f1590,plain,
    ( spl69_157
  <=> ! [X0,X1] :
        ( sP2(X1,X0)
        | ~ strictorderedP(cons(X0,X1))
        | ~ sP3(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_157])]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( sP2(X1,X0)
      | ~ strictorderedP(cons(X0,X1))
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f1588,plain,
    spl69_156,
    inference(avatar_split_clause,[],[f434,f1586]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( leq(X1,hd(X0))
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f1584,plain,
    spl69_155,
    inference(avatar_split_clause,[],[f431,f1582]) ).

fof(f1582,plain,
    ( spl69_155
  <=> ! [X0,X1] :
        ( totalorderedP(cons(X0,X1))
        | ~ sP0(X1,X0)
        | ~ sP1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_155])]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( totalorderedP(cons(X0,X1))
      | ~ sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ( ( totalorderedP(cons(X0,X1))
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | ~ totalorderedP(cons(X0,X1)) ) )
      | ~ sP1(X0,X1) ),
    inference(nnf_transformation,[],[f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ( totalorderedP(cons(X0,X1))
      <=> sP0(X1,X0) )
      | ~ sP1(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1578,plain,
    spl69_154,
    inference(avatar_split_clause,[],[f430,f1576]) ).

fof(f1576,plain,
    ( spl69_154
  <=> ! [X0,X1] :
        ( sP0(X1,X0)
        | ~ totalorderedP(cons(X0,X1))
        | ~ sP1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_154])]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( sP0(X1,X0)
      | ~ totalorderedP(cons(X0,X1))
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f1574,plain,
    spl69_153,
    inference(avatar_split_clause,[],[f417,f1572]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f259]) ).

fof(f259,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f1570,plain,
    spl69_152,
    inference(avatar_split_clause,[],[f415,f1568]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
      | ~ leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( geq(X0,X1)
              | ~ leq(X1,X0) )
            & ( leq(X1,X0)
              | ~ geq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( geq(X0,X1)
          <=> leq(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( geq(X0,X1)
          <=> leq(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f1566,plain,
    spl69_151,
    inference(avatar_split_clause,[],[f414,f1564]) ).

fof(f1564,plain,
    ( spl69_151
  <=> ! [X0,X1] :
        ( leq(X1,X0)
        | ~ geq(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_151])]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f1562,plain,
    spl69_150,
    inference(avatar_split_clause,[],[f413,f1560]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( gt(X0,X1)
              | ~ lt(X1,X0) )
            & ( lt(X1,X0)
              | ~ gt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( gt(X0,X1)
          <=> lt(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
          <=> lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f1558,plain,
    spl69_149,
    inference(avatar_split_clause,[],[f412,f1556]) ).

fof(f1556,plain,
    ( spl69_149
  <=> ! [X0,X1] :
        ( lt(X1,X0)
        | ~ gt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_149])]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( lt(X1,X0)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f1554,plain,
    spl69_148,
    inference(avatar_split_clause,[],[f411,f1552]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f1550,plain,
    spl69_147,
    inference(avatar_split_clause,[],[f407,f1548]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
           => ~ lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f1546,plain,
    spl69_146,
    inference(avatar_split_clause,[],[f405,f1544]) ).

fof(f1544,plain,
    ( spl69_146
  <=> ! [X0,X1] :
        ( ~ gt(X1,X0)
        | ~ gt(X0,X1)
        | ~ ssItem(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_146])]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
           => ~ gt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f1540,plain,
    spl69_145,
    inference(avatar_split_clause,[],[f641,f1538]) ).

fof(f641,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f612]) ).

fof(f612,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f425]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f1536,plain,
    spl69_144,
    inference(avatar_split_clause,[],[f557,f1534]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f1532,plain,
    spl69_143,
    inference(avatar_split_clause,[],[f556,f1530]) ).

fof(f1530,plain,
    ( spl69_143
  <=> ! [X0,X1] :
        ( nil != cons(X1,X0)
        | ~ ssItem(X1)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_143])]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f1522,plain,
    ( ~ spl69_137
    | spl69_138
    | ~ spl69_139
    | ~ spl69_140
    | ~ spl69_141
    | ~ spl69_142
    | ~ spl69_3 ),
    inference(avatar_split_clause,[],[f644,f657,f1519,f1515,f1511,f1507,f1503,f1499]) ).

fof(f644,plain,
    ( ~ neq(sK21,nil)
    | ~ neq(nil,sK21)
    | ~ ssItem(hd(sK21))
    | ~ ssList(cons(hd(sK21),nil))
    | ~ ssList(tl(sK21))
    | sK20 = app(tl(sK21),cons(hd(sK21),nil))
    | ~ ssList(app(tl(sK21),cons(hd(sK21),nil))) ),
    inference(duplicate_literal_removal,[],[f609]) ).

fof(f609,plain,
    ( ~ neq(sK21,nil)
    | ~ neq(nil,sK21)
    | ~ neq(nil,sK21)
    | ~ ssItem(hd(sK21))
    | ~ ssList(cons(hd(sK21),nil))
    | ~ ssList(tl(sK21))
    | sK20 = app(tl(sK21),cons(hd(sK21),nil))
    | ~ ssList(app(tl(sK21),cons(hd(sK21),nil))) ),
    inference(equality_resolution,[],[f608]) ).

fof(f608,plain,
    ! [X5] :
      ( ~ neq(sK21,nil)
      | ~ neq(nil,sK21)
      | ~ neq(nil,sK21)
      | ~ ssItem(hd(sK21))
      | tl(sK21) != X5
      | ~ ssList(cons(hd(sK21),nil))
      | ~ ssList(X5)
      | sK20 = app(X5,cons(hd(sK21),nil))
      | ~ ssList(app(X5,cons(hd(sK21),nil))) ),
    inference(equality_resolution,[],[f607]) ).

fof(f607,plain,
    ! [X4,X5] :
      ( ~ neq(sK21,nil)
      | ~ neq(nil,sK21)
      | ~ neq(nil,sK21)
      | ~ ssItem(hd(sK21))
      | app(X5,cons(hd(sK21),nil)) != X4
      | tl(sK21) != X5
      | ~ ssList(cons(hd(sK21),nil))
      | ~ ssList(X5)
      | sK20 = X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f606]) ).

fof(f606,plain,
    ! [X6,X4,X5] :
      ( ~ neq(sK21,nil)
      | ~ neq(nil,sK21)
      | ~ neq(nil,sK21)
      | cons(hd(sK21),nil) != X6
      | ~ ssItem(hd(sK21))
      | app(X5,X6) != X4
      | tl(sK21) != X5
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sK20 = X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f384]) ).

fof(f384,plain,
    ! [X6,X7,X4,X5] :
      ( ~ neq(sK21,nil)
      | ~ neq(nil,sK21)
      | ~ neq(nil,sK21)
      | hd(sK21) != X7
      | cons(X7,nil) != X6
      | ~ ssItem(X7)
      | app(X5,X6) != X4
      | tl(sK21) != X5
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sK20 = X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f255,plain,
    ( ( ~ neq(sK21,nil)
      | ! [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( ~ neq(nil,sK21)
                  | ! [X7] :
                      ( ~ neq(nil,sK21)
                      | hd(sK21) != X7
                      | cons(X7,nil) != X6
                      | ~ ssItem(X7) )
                  | app(X5,X6) != X4
                  | tl(sK21) != X5
                  | ~ ssList(X6) )
              | ~ ssList(X5) )
          | sK20 = X4
          | ~ ssList(X4) ) )
    & ( nil != sK21
      | nil = sK20 )
    & ! [X8] :
        ( ! [X9] :
            ( ! [X10] :
                ( app(app(X10,cons(X8,nil)),X9) != sK18
                | app(app(X9,cons(X8,nil)),X10) != sK19
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        | ~ ssItem(X8) )
    & neq(sK19,nil)
    & sK18 = sK20
    & sK19 = sK21
    & ssList(sK21)
    & ssList(sK20)
    & ssList(sK19)
    & ssList(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f100,f254,f253,f252,f251]) ).

fof(f251,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | ! [X4] :
                          ( ! [X5] :
                              ( ! [X6] :
                                  ( ~ neq(nil,X3)
                                  | ! [X7] :
                                      ( ~ neq(nil,X3)
                                      | hd(X3) != X7
                                      | cons(X7,nil) != X6
                                      | ~ ssItem(X7) )
                                  | app(X5,X6) != X4
                                  | tl(X3) != X5
                                  | ~ ssList(X6) )
                              | ~ ssList(X5) )
                          | X2 = X4
                          | ~ ssList(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ! [X10] :
                                ( app(app(X10,cons(X8,nil)),X9) != X0
                                | app(app(X9,cons(X8,nil)),X10) != X1
                                | ~ ssList(X10) )
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ! [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ~ neq(nil,X3)
                                | ! [X7] :
                                    ( ~ neq(nil,X3)
                                    | hd(X3) != X7
                                    | cons(X7,nil) != X6
                                    | ~ ssItem(X7) )
                                | app(X5,X6) != X4
                                | tl(X3) != X5
                                | ~ ssList(X6) )
                            | ~ ssList(X5) )
                        | X2 = X4
                        | ~ ssList(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( app(app(X10,cons(X8,nil)),X9) != sK18
                              | app(app(X9,cons(X8,nil)),X10) != X1
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & neq(X1,nil)
                  & sK18 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ neq(nil,X3)
                              | ! [X7] :
                                  ( ~ neq(nil,X3)
                                  | hd(X3) != X7
                                  | cons(X7,nil) != X6
                                  | ~ ssItem(X7) )
                              | app(X5,X6) != X4
                              | tl(X3) != X5
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | X2 = X4
                      | ~ ssList(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( app(app(X10,cons(X8,nil)),X9) != sK18
                            | app(app(X9,cons(X8,nil)),X10) != X1
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                & neq(X1,nil)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ! [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( ~ neq(nil,X3)
                            | ! [X7] :
                                ( ~ neq(nil,X3)
                                | hd(X3) != X7
                                | cons(X7,nil) != X6
                                | ~ ssItem(X7) )
                            | app(X5,X6) != X4
                            | tl(X3) != X5
                            | ~ ssList(X6) )
                        | ~ ssList(X5) )
                    | X2 = X4
                    | ~ ssList(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( app(app(X10,cons(X8,nil)),X9) != sK18
                          | app(app(X9,cons(X8,nil)),X10) != sK19
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              & neq(sK19,nil)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ! [X4] :
                  ( ! [X5] :
                      ( ! [X6] :
                          ( ~ neq(nil,X3)
                          | ! [X7] :
                              ( ~ neq(nil,X3)
                              | hd(X3) != X7
                              | cons(X7,nil) != X6
                              | ~ ssItem(X7) )
                          | app(X5,X6) != X4
                          | tl(X3) != X5
                          | ~ ssList(X6) )
                      | ~ ssList(X5) )
                  | X2 = X4
                  | ~ ssList(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & ! [X8] :
                ( ! [X9] :
                    ( ! [X10] :
                        ( app(app(X10,cons(X8,nil)),X9) != sK18
                        | app(app(X9,cons(X8,nil)),X10) != sK19
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            & neq(sK19,nil)
            & sK18 = X2
            & sK19 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ! [X4] :
                ( ! [X5] :
                    ( ! [X6] :
                        ( ~ neq(nil,X3)
                        | ! [X7] :
                            ( ~ neq(nil,X3)
                            | hd(X3) != X7
                            | cons(X7,nil) != X6
                            | ~ ssItem(X7) )
                        | app(X5,X6) != X4
                        | tl(X3) != X5
                        | ~ ssList(X6) )
                    | ~ ssList(X5) )
                | sK20 = X4
                | ~ ssList(X4) ) )
          & ( nil != X3
            | nil = sK20 )
          & ! [X8] :
              ( ! [X9] :
                  ( ! [X10] :
                      ( app(app(X10,cons(X8,nil)),X9) != sK18
                      | app(app(X9,cons(X8,nil)),X10) != sK19
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              | ~ ssItem(X8) )
          & neq(sK19,nil)
          & sK18 = sK20
          & sK19 = X3
          & ssList(X3) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ! [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( ~ neq(nil,X3)
                      | ! [X7] :
                          ( ~ neq(nil,X3)
                          | hd(X3) != X7
                          | cons(X7,nil) != X6
                          | ~ ssItem(X7) )
                      | app(X5,X6) != X4
                      | tl(X3) != X5
                      | ~ ssList(X6) )
                  | ~ ssList(X5) )
              | sK20 = X4
              | ~ ssList(X4) ) )
        & ( nil != X3
          | nil = sK20 )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(app(X10,cons(X8,nil)),X9) != sK18
                    | app(app(X9,cons(X8,nil)),X10) != sK19
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(sK19,nil)
        & sK18 = sK20
        & sK19 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK21,nil)
        | ! [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( ~ neq(nil,sK21)
                    | ! [X7] :
                        ( ~ neq(nil,sK21)
                        | hd(sK21) != X7
                        | cons(X7,nil) != X6
                        | ~ ssItem(X7) )
                    | app(X5,X6) != X4
                    | tl(sK21) != X5
                    | ~ ssList(X6) )
                | ~ ssList(X5) )
            | sK20 = X4
            | ~ ssList(X4) ) )
      & ( nil != sK21
        | nil = sK20 )
      & ! [X8] :
          ( ! [X9] :
              ( ! [X10] :
                  ( app(app(X10,cons(X8,nil)),X9) != sK18
                  | app(app(X9,cons(X8,nil)),X10) != sK19
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          | ~ ssItem(X8) )
      & neq(sK19,nil)
      & sK18 = sK20
      & sK19 = sK21
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ! [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ~ neq(nil,X3)
                                | ! [X7] :
                                    ( ~ neq(nil,X3)
                                    | hd(X3) != X7
                                    | cons(X7,nil) != X6
                                    | ~ ssItem(X7) )
                                | app(X5,X6) != X4
                                | tl(X3) != X5
                                | ~ ssList(X6) )
                            | ~ ssList(X5) )
                        | X2 = X4
                        | ~ ssList(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( app(app(X10,cons(X8,nil)),X9) != X0
                              | app(app(X9,cons(X8,nil)),X10) != X1
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ! [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ~ neq(nil,X3)
                                | ! [X7] :
                                    ( ~ neq(nil,X3)
                                    | hd(X3) != X7
                                    | cons(X7,nil) != X6
                                    | ~ ssItem(X7) )
                                | app(X5,X6) != X4
                                | tl(X3) != X5
                                | ~ ssList(X6) )
                            | ~ ssList(X5) )
                        | X2 = X4
                        | ~ ssList(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( app(app(X10,cons(X8,nil)),X9) != X0
                              | app(app(X9,cons(X8,nil)),X10) != X1
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( neq(nil,X3)
                                    & ? [X7] :
                                        ( neq(nil,X3)
                                        & hd(X3) = X7
                                        & cons(X7,nil) = X6
                                        & ssItem(X7) )
                                    & app(X5,X6) = X4
                                    & tl(X3) = X5
                                    & ssList(X6) )
                                & ssList(X5) )
                            & X2 != X4
                            & ssList(X4) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X8] :
                          ( ? [X9] :
                              ( ? [X10] :
                                  ( app(app(X10,cons(X8,nil)),X9) = X0
                                  & app(app(X9,cons(X8,nil)),X10) = X1
                                  & ssList(X10) )
                              & ssList(X9) )
                          & ssItem(X8) )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ? [X7] :
                            ( ? [X8] :
                                ( ? [X9] :
                                    ( neq(nil,X3)
                                    & ? [X10] :
                                        ( neq(nil,X3)
                                        & hd(X3) = X10
                                        & cons(X10,nil) = X9
                                        & ssItem(X10) )
                                    & app(X8,X9) = X7
                                    & tl(X3) = X8
                                    & ssList(X9) )
                                & ssList(X8) )
                            & X2 != X7
                            & ssList(X7) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(X6,cons(X4,nil)),X5) = X0
                                  & app(app(X5,cons(X4,nil)),X6) = X1
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( neq(X3,nil)
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( neq(nil,X3)
                                  & ? [X10] :
                                      ( neq(nil,X3)
                                      & hd(X3) = X10
                                      & cons(X10,nil) = X9
                                      & ssItem(X10) )
                                  & app(X8,X9) = X7
                                  & tl(X3) = X8
                                  & ssList(X9) )
                              & ssList(X8) )
                          & X2 != X7
                          & ssList(X7) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(X6,cons(X4,nil)),X5) = X0
                                & app(app(X5,cons(X4,nil)),X6) = X1
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1436,plain,
    spl69_136,
    inference(avatar_split_clause,[],[f565,f1434]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f1432,plain,
    spl69_135,
    inference(avatar_split_clause,[],[f555,f1430]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f1428,plain,
    spl69_134,
    inference(avatar_split_clause,[],[f553,f1426]) ).

fof(f553,plain,
    ! [X0] :
      ( nil = X0
      | ~ frontsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f350,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f1424,plain,
    spl69_133,
    inference(avatar_split_clause,[],[f551,f1422]) ).

fof(f551,plain,
    ! [X0] :
      ( nil = X0
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f1420,plain,
    spl69_132,
    inference(avatar_split_clause,[],[f549,f1418]) ).

fof(f549,plain,
    ! [X0] :
      ( nil = X0
      | ~ segmentP(nil,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f348,plain,
    ! [X0] :
      ( ( ( segmentP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ segmentP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f1414,plain,
    spl69_131,
    inference(avatar_split_clause,[],[f465,f1412]) ).

fof(f465,plain,
    ! [X0] :
      ( ssList(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f1410,plain,
    spl69_130,
    inference(avatar_split_clause,[],[f463,f1408]) ).

fof(f1408,plain,
    ( spl69_130
  <=> ! [X0] :
        ( ssItem(sK24(X0))
        | nil = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_130])]) ).

fof(f463,plain,
    ! [X0] :
      ( ssItem(sK24(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f1406,plain,
    spl69_129,
    inference(avatar_split_clause,[],[f461,f1404]) ).

fof(f461,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f1402,plain,
    spl69_128,
    inference(avatar_split_clause,[],[f460,f1400]) ).

fof(f460,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f1398,plain,
    spl69_127,
    inference(avatar_split_clause,[],[f458,f1396]) ).

fof(f458,plain,
    ! [X0] :
      ( ssItem(sK23(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f1394,plain,
    spl69_126,
    inference(avatar_split_clause,[],[f457,f1392]) ).

fof(f457,plain,
    ! [X0] :
      ( ssList(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f1390,plain,
    spl69_125,
    inference(avatar_split_clause,[],[f441,f1388]) ).

fof(f1388,plain,
    ( spl69_125
  <=> ! [X0,X1] :
        ( strictorderedP(X0)
        | nil = X0
        | ~ sP2(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_125])]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( strictorderedP(X0)
      | nil = X0
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f1386,plain,
    spl69_124,
    inference(avatar_split_clause,[],[f433,f1384]) ).

fof(f1384,plain,
    ( spl69_124
  <=> ! [X0,X1] :
        ( totalorderedP(X0)
        | nil = X0
        | ~ sP0(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_124])]) ).

fof(f433,plain,
    ! [X0,X1] :
      ( totalorderedP(X0)
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f1332,plain,
    spl69_123,
    inference(avatar_split_clause,[],[f547,f1330]) ).

fof(f1330,plain,
    ( spl69_123
  <=> ! [X0] :
        ( sP16(X0)
        | ~ lt(sK56(X0),sK57(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_123])]) ).

fof(f547,plain,
    ! [X0] :
      ( sP16(X0)
      | ~ lt(sK56(X0),sK57(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f1328,plain,
    spl69_122,
    inference(avatar_split_clause,[],[f536,f1326]) ).

fof(f1326,plain,
    ( spl69_122
  <=> ! [X0] :
        ( sP14(X0)
        | ~ leq(sK51(X0),sK52(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_122])]) ).

fof(f536,plain,
    ! [X0] :
      ( sP14(X0)
      | ~ leq(sK51(X0),sK52(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f1324,plain,
    spl69_121,
    inference(avatar_split_clause,[],[f525,f1322]) ).

fof(f525,plain,
    ! [X0] :
      ( sP12(X0)
      | leq(sK47(X0),sK46(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f1320,plain,
    spl69_120,
    inference(avatar_split_clause,[],[f524,f1318]) ).

fof(f524,plain,
    ! [X0] :
      ( sP12(X0)
      | leq(sK46(X0),sK47(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f1316,plain,
    spl69_119,
    inference(avatar_split_clause,[],[f513,f1314]) ).

fof(f1314,plain,
    ( spl69_119
  <=> ! [X0] :
        ( sP10(X0)
        | ~ lt(sK42(X0),sK41(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_119])]) ).

fof(f513,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ lt(sK42(X0),sK41(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f1312,plain,
    spl69_118,
    inference(avatar_split_clause,[],[f512,f1310]) ).

fof(f1310,plain,
    ( spl69_118
  <=> ! [X0] :
        ( sP10(X0)
        | ~ lt(sK41(X0),sK42(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_118])]) ).

fof(f512,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ lt(sK41(X0),sK42(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f1308,plain,
    spl69_117,
    inference(avatar_split_clause,[],[f501,f1306]) ).

fof(f1306,plain,
    ( spl69_117
  <=> ! [X0] :
        ( sP8(X0)
        | ~ leq(sK37(X0),sK36(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_117])]) ).

fof(f501,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ leq(sK37(X0),sK36(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f1302,plain,
    spl69_116,
    inference(avatar_split_clause,[],[f500,f1300]) ).

fof(f1300,plain,
    ( spl69_116
  <=> ! [X0] :
        ( sP8(X0)
        | ~ leq(sK36(X0),sK37(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_116])]) ).

fof(f500,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ leq(sK36(X0),sK37(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f1298,plain,
    spl69_115,
    inference(avatar_split_clause,[],[f489,f1296]) ).

fof(f489,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = sK32(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f1294,plain,
    spl69_114,
    inference(avatar_split_clause,[],[f478,f1292]) ).

fof(f1292,plain,
    ( spl69_114
  <=> ! [X0] :
        ( sP4(X0)
        | sK27(X0) != sK28(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_114])]) ).

fof(f478,plain,
    ! [X0] :
      ( sP4(X0)
      | sK27(X0) != sK28(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f1290,plain,
    spl69_113,
    inference(avatar_split_clause,[],[f467,f1288]) ).

fof(f467,plain,
    ! [X0] :
      ( ssItem(sK26(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f1286,plain,
    spl69_112,
    inference(avatar_split_clause,[],[f456,f1284]) ).

fof(f456,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f1282,plain,
    spl69_111,
    inference(avatar_split_clause,[],[f455,f1280]) ).

fof(f455,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f1278,plain,
    spl69_110,
    inference(avatar_split_clause,[],[f445,f1276]) ).

fof(f1276,plain,
    ( spl69_110
  <=> ! [X0,X1] :
        ( sP3(X0,X1)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_110])]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f229,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP3(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f139,f228,f227]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f1274,plain,
    spl69_109,
    inference(avatar_split_clause,[],[f437,f1272]) ).

fof(f1272,plain,
    ( spl69_109
  <=> ! [X0,X1] :
        ( sP1(X0,X1)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_109])]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP1(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f138,f225,f224]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f1270,plain,
    ( spl69_108
    | ~ spl69_2
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f790,f763,f652,f1267]) ).

fof(f790,plain,
    ( sP17(sK21)
    | ~ spl69_2
    | ~ spl69_26 ),
    inference(resolution,[],[f764,f654]) ).

fof(f1265,plain,
    ( spl69_107
    | ~ spl69_1
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f789,f763,f647,f1262]) ).

fof(f789,plain,
    ( sP17(sK20)
    | ~ spl69_1
    | ~ spl69_26 ),
    inference(resolution,[],[f764,f649]) ).

fof(f1258,plain,
    spl69_106,
    inference(avatar_split_clause,[],[f539,f1256]) ).

fof(f539,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | ~ sP16(X0)
      | ~ sP17(X0) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ~ sP16(X0) )
        & ( sP16(X0)
          | ~ strictorderedP(X0) ) )
      | ~ sP17(X0) ),
    inference(nnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> sP16(X0) )
      | ~ sP17(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f1254,plain,
    ( spl69_105
    | ~ spl69_2
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f787,f759,f652,f1251]) ).

fof(f787,plain,
    ( sP15(sK21)
    | ~ spl69_2
    | ~ spl69_25 ),
    inference(resolution,[],[f760,f654]) ).

fof(f1249,plain,
    spl69_104,
    inference(avatar_split_clause,[],[f538,f1247]) ).

fof(f538,plain,
    ! [X0] :
      ( sP16(X0)
      | ~ strictorderedP(X0)
      | ~ sP17(X0) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f1245,plain,
    spl69_103,
    inference(avatar_split_clause,[],[f528,f1243]) ).

fof(f528,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | ~ sP14(X0)
      | ~ sP15(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ~ sP14(X0) )
        & ( sP14(X0)
          | ~ totalorderedP(X0) ) )
      | ~ sP15(X0) ),
    inference(nnf_transformation,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> sP14(X0) )
      | ~ sP15(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f1241,plain,
    spl69_102,
    inference(avatar_split_clause,[],[f527,f1239]) ).

fof(f527,plain,
    ! [X0] :
      ( sP14(X0)
      | ~ totalorderedP(X0)
      | ~ sP15(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f1237,plain,
    spl69_101,
    inference(avatar_split_clause,[],[f516,f1235]) ).

fof(f516,plain,
    ! [X0] :
      ( cyclefreeP(X0)
      | ~ sP12(X0)
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f321,plain,
    ! [X0] :
      ( ( ( cyclefreeP(X0)
          | ~ sP12(X0) )
        & ( sP12(X0)
          | ~ cyclefreeP(X0) ) )
      | ~ sP13(X0) ),
    inference(nnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> sP12(X0) )
      | ~ sP13(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f1233,plain,
    spl69_100,
    inference(avatar_split_clause,[],[f515,f1231]) ).

fof(f515,plain,
    ! [X0] :
      ( sP12(X0)
      | ~ cyclefreeP(X0)
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f1229,plain,
    spl69_99,
    inference(avatar_split_clause,[],[f504,f1227]) ).

fof(f504,plain,
    ! [X0] :
      ( strictorderP(X0)
      | ~ sP10(X0)
      | ~ sP11(X0) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ( ( strictorderP(X0)
          | ~ sP10(X0) )
        & ( sP10(X0)
          | ~ strictorderP(X0) ) )
      | ~ sP11(X0) ),
    inference(nnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> sP10(X0) )
      | ~ sP11(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f1225,plain,
    spl69_98,
    inference(avatar_split_clause,[],[f503,f1223]) ).

fof(f503,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ strictorderP(X0)
      | ~ sP11(X0) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f1221,plain,
    spl69_97,
    inference(avatar_split_clause,[],[f492,f1219]) ).

fof(f492,plain,
    ! [X0] :
      ( totalorderP(X0)
      | ~ sP8(X0)
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ( ( totalorderP(X0)
          | ~ sP8(X0) )
        & ( sP8(X0)
          | ~ totalorderP(X0) ) )
      | ~ sP9(X0) ),
    inference(nnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> sP8(X0) )
      | ~ sP9(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f1217,plain,
    spl69_96,
    inference(avatar_split_clause,[],[f491,f1215]) ).

fof(f491,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ totalorderP(X0)
      | ~ sP9(X0) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f1213,plain,
    spl69_95,
    inference(avatar_split_clause,[],[f481,f1211]) ).

fof(f481,plain,
    ! [X0] :
      ( duplicatefreeP(X0)
      | ~ sP6(X0)
      | ~ sP7(X0) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ~ sP6(X0) )
        & ( sP6(X0)
          | ~ duplicatefreeP(X0) ) )
      | ~ sP7(X0) ),
    inference(nnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> sP6(X0) )
      | ~ sP7(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1209,plain,
    ( spl69_94
    | ~ spl69_1
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f786,f759,f647,f1206]) ).

fof(f786,plain,
    ( sP15(sK20)
    | ~ spl69_1
    | ~ spl69_25 ),
    inference(resolution,[],[f760,f649]) ).

fof(f1204,plain,
    spl69_93,
    inference(avatar_split_clause,[],[f480,f1202]) ).

fof(f480,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ duplicatefreeP(X0)
      | ~ sP7(X0) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f1200,plain,
    spl69_92,
    inference(avatar_split_clause,[],[f471,f1198]) ).

fof(f471,plain,
    ! [X0] :
      ( equalelemsP(X0)
      | ~ sP4(X0)
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f286,plain,
    ! [X0] :
      ( ( ( equalelemsP(X0)
          | ~ sP4(X0) )
        & ( sP4(X0)
          | ~ equalelemsP(X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> sP4(X0) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1196,plain,
    spl69_91,
    inference(avatar_split_clause,[],[f470,f1194]) ).

fof(f470,plain,
    ! [X0] :
      ( sP4(X0)
      | ~ equalelemsP(X0)
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f1192,plain,
    spl69_90,
    inference(avatar_split_clause,[],[f404,f1190]) ).

fof(f404,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0] :
      ( ssItem(X0)
     => totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f1188,plain,
    spl69_89,
    inference(avatar_split_clause,[],[f403,f1186]) ).

fof(f403,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

fof(f1184,plain,
    spl69_88,
    inference(avatar_split_clause,[],[f402,f1182]) ).

fof(f402,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f1180,plain,
    spl69_87,
    inference(avatar_split_clause,[],[f401,f1178]) ).

fof(f401,plain,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( ssItem(X0)
     => totalorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f1176,plain,
    spl69_86,
    inference(avatar_split_clause,[],[f400,f1174]) ).

fof(f400,plain,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( ssItem(X0)
     => cyclefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f1172,plain,
    spl69_85,
    inference(avatar_split_clause,[],[f399,f1170]) ).

fof(f399,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ssItem(X0)
     => duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(f1168,plain,
    spl69_84,
    inference(avatar_split_clause,[],[f398,f1166]) ).

fof(f398,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ssItem(X0)
     => equalelemsP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

fof(f1164,plain,
    ( spl69_83
    | ~ spl69_2
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f784,f755,f652,f1161]) ).

fof(f784,plain,
    ( sP13(sK21)
    | ~ spl69_2
    | ~ spl69_24 ),
    inference(resolution,[],[f756,f654]) ).

fof(f1159,plain,
    spl69_82,
    inference(avatar_split_clause,[],[f602,f1157]) ).

fof(f602,plain,
    ! [X10,X8,X9] :
      ( app(app(X10,cons(X8,nil)),X9) != sK20
      | app(app(X9,cons(X8,nil)),X10) != sK21
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f382,f380,f379]) ).

fof(f379,plain,
    sK19 = sK21,
    inference(cnf_transformation,[],[f255]) ).

fof(f380,plain,
    sK18 = sK20,
    inference(cnf_transformation,[],[f255]) ).

fof(f382,plain,
    ! [X10,X8,X9] :
      ( app(app(X10,cons(X8,nil)),X9) != sK18
      | app(app(X9,cons(X8,nil)),X10) != sK19
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f1127,plain,
    ( spl69_81
    | ~ spl69_1
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f783,f755,f647,f1124]) ).

fof(f783,plain,
    ( sP13(sK20)
    | ~ spl69_1
    | ~ spl69_24 ),
    inference(resolution,[],[f756,f649]) ).

fof(f1080,plain,
    ( spl69_80
    | ~ spl69_2
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f781,f751,f652,f1077]) ).

fof(f781,plain,
    ( sP11(sK21)
    | ~ spl69_2
    | ~ spl69_23 ),
    inference(resolution,[],[f752,f654]) ).

fof(f1033,plain,
    ( spl69_79
    | ~ spl69_1
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f780,f751,f647,f1030]) ).

fof(f780,plain,
    ( sP11(sK20)
    | ~ spl69_1
    | ~ spl69_23 ),
    inference(resolution,[],[f752,f649]) ).

fof(f1000,plain,
    ( spl69_78
    | ~ spl69_2
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f778,f747,f652,f997]) ).

fof(f778,plain,
    ( sP9(sK21)
    | ~ spl69_2
    | ~ spl69_22 ),
    inference(resolution,[],[f748,f654]) ).

fof(f995,plain,
    spl69_77,
    inference(avatar_split_clause,[],[f643,f993]) ).

fof(f993,plain,
    ( spl69_77
  <=> ! [X1] :
        ( ~ neq(X1,X1)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_77])]) ).

fof(f643,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f610]) ).

fof(f610,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f410]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f991,plain,
    spl69_76,
    inference(avatar_split_clause,[],[f638,f989]) ).

fof(f638,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f631]) ).

fof(f631,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f572]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f987,plain,
    ( spl69_75
    | ~ spl69_1
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f777,f747,f647,f984]) ).

fof(f777,plain,
    ( sP9(sK20)
    | ~ spl69_1
    | ~ spl69_22 ),
    inference(resolution,[],[f748,f649]) ).

fof(f982,plain,
    spl69_74,
    inference(avatar_split_clause,[],[f545,f980]) ).

fof(f545,plain,
    ! [X0] :
      ( sP16(X0)
      | ssList(sK60(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f978,plain,
    spl69_73,
    inference(avatar_split_clause,[],[f544,f976]) ).

fof(f544,plain,
    ! [X0] :
      ( sP16(X0)
      | ssList(sK59(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f974,plain,
    spl69_72,
    inference(avatar_split_clause,[],[f543,f972]) ).

fof(f543,plain,
    ! [X0] :
      ( sP16(X0)
      | ssList(sK58(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f970,plain,
    spl69_71,
    inference(avatar_split_clause,[],[f542,f968]) ).

fof(f542,plain,
    ! [X0] :
      ( sP16(X0)
      | ssItem(sK57(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f966,plain,
    spl69_70,
    inference(avatar_split_clause,[],[f541,f964]) ).

fof(f541,plain,
    ! [X0] :
      ( sP16(X0)
      | ssItem(sK56(X0)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f962,plain,
    spl69_69,
    inference(avatar_split_clause,[],[f534,f960]) ).

fof(f534,plain,
    ! [X0] :
      ( sP14(X0)
      | ssList(sK55(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f958,plain,
    spl69_68,
    inference(avatar_split_clause,[],[f533,f956]) ).

fof(f533,plain,
    ! [X0] :
      ( sP14(X0)
      | ssList(sK54(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f954,plain,
    spl69_67,
    inference(avatar_split_clause,[],[f532,f952]) ).

fof(f532,plain,
    ! [X0] :
      ( sP14(X0)
      | ssList(sK53(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f950,plain,
    spl69_66,
    inference(avatar_split_clause,[],[f531,f948]) ).

fof(f531,plain,
    ! [X0] :
      ( sP14(X0)
      | ssItem(sK52(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f946,plain,
    spl69_65,
    inference(avatar_split_clause,[],[f530,f944]) ).

fof(f530,plain,
    ! [X0] :
      ( sP14(X0)
      | ssItem(sK51(X0)) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f942,plain,
    ( spl69_64
    | ~ spl69_2
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f775,f743,f652,f939]) ).

fof(f775,plain,
    ( sP7(sK21)
    | ~ spl69_2
    | ~ spl69_21 ),
    inference(resolution,[],[f744,f654]) ).

fof(f937,plain,
    spl69_63,
    inference(avatar_split_clause,[],[f522,f935]) ).

fof(f522,plain,
    ! [X0] :
      ( sP12(X0)
      | ssList(sK50(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f933,plain,
    spl69_62,
    inference(avatar_split_clause,[],[f521,f931]) ).

fof(f521,plain,
    ! [X0] :
      ( sP12(X0)
      | ssList(sK49(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f929,plain,
    spl69_61,
    inference(avatar_split_clause,[],[f520,f927]) ).

fof(f520,plain,
    ! [X0] :
      ( sP12(X0)
      | ssList(sK48(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f925,plain,
    spl69_60,
    inference(avatar_split_clause,[],[f519,f923]) ).

fof(f519,plain,
    ! [X0] :
      ( sP12(X0)
      | ssItem(sK47(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f921,plain,
    spl69_59,
    inference(avatar_split_clause,[],[f518,f919]) ).

fof(f518,plain,
    ! [X0] :
      ( sP12(X0)
      | ssItem(sK46(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f917,plain,
    spl69_58,
    inference(avatar_split_clause,[],[f510,f915]) ).

fof(f510,plain,
    ! [X0] :
      ( sP10(X0)
      | ssList(sK45(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f913,plain,
    spl69_57,
    inference(avatar_split_clause,[],[f509,f911]) ).

fof(f509,plain,
    ! [X0] :
      ( sP10(X0)
      | ssList(sK44(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f909,plain,
    spl69_56,
    inference(avatar_split_clause,[],[f508,f907]) ).

fof(f508,plain,
    ! [X0] :
      ( sP10(X0)
      | ssList(sK43(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f905,plain,
    spl69_55,
    inference(avatar_split_clause,[],[f507,f903]) ).

fof(f507,plain,
    ! [X0] :
      ( sP10(X0)
      | ssItem(sK42(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f901,plain,
    spl69_54,
    inference(avatar_split_clause,[],[f506,f899]) ).

fof(f506,plain,
    ! [X0] :
      ( sP10(X0)
      | ssItem(sK41(X0)) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f897,plain,
    ( spl69_53
    | ~ spl69_1
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f774,f743,f647,f894]) ).

fof(f774,plain,
    ( sP7(sK20)
    | ~ spl69_1
    | ~ spl69_21 ),
    inference(resolution,[],[f744,f649]) ).

fof(f892,plain,
    spl69_52,
    inference(avatar_split_clause,[],[f498,f890]) ).

fof(f498,plain,
    ! [X0] :
      ( sP8(X0)
      | ssList(sK40(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f888,plain,
    spl69_51,
    inference(avatar_split_clause,[],[f497,f886]) ).

fof(f497,plain,
    ! [X0] :
      ( sP8(X0)
      | ssList(sK39(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f884,plain,
    spl69_50,
    inference(avatar_split_clause,[],[f496,f882]) ).

fof(f496,plain,
    ! [X0] :
      ( sP8(X0)
      | ssList(sK38(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f880,plain,
    spl69_49,
    inference(avatar_split_clause,[],[f495,f878]) ).

fof(f495,plain,
    ! [X0] :
      ( sP8(X0)
      | ssItem(sK37(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f876,plain,
    spl69_48,
    inference(avatar_split_clause,[],[f494,f874]) ).

fof(f494,plain,
    ! [X0] :
      ( sP8(X0)
      | ssItem(sK36(X0)) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f872,plain,
    spl69_47,
    inference(avatar_split_clause,[],[f487,f870]) ).

fof(f487,plain,
    ! [X0] :
      ( sP6(X0)
      | ssList(sK35(X0)) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f868,plain,
    spl69_46,
    inference(avatar_split_clause,[],[f486,f866]) ).

fof(f486,plain,
    ! [X0] :
      ( sP6(X0)
      | ssList(sK34(X0)) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f864,plain,
    spl69_45,
    inference(avatar_split_clause,[],[f485,f862]) ).

fof(f485,plain,
    ! [X0] :
      ( sP6(X0)
      | ssList(sK33(X0)) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f860,plain,
    spl69_44,
    inference(avatar_split_clause,[],[f484,f858]) ).

fof(f484,plain,
    ! [X0] :
      ( sP6(X0)
      | ssItem(sK32(X0)) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f856,plain,
    spl69_43,
    inference(avatar_split_clause,[],[f483,f854]) ).

fof(f483,plain,
    ! [X0] :
      ( sP6(X0)
      | ssItem(sK31(X0)) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f852,plain,
    spl69_42,
    inference(avatar_split_clause,[],[f476,f850]) ).

fof(f476,plain,
    ! [X0] :
      ( sP4(X0)
      | ssList(sK30(X0)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f848,plain,
    spl69_41,
    inference(avatar_split_clause,[],[f475,f846]) ).

fof(f475,plain,
    ! [X0] :
      ( sP4(X0)
      | ssList(sK29(X0)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f844,plain,
    spl69_40,
    inference(avatar_split_clause,[],[f474,f842]) ).

fof(f474,plain,
    ! [X0] :
      ( sP4(X0)
      | ssItem(sK28(X0)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f840,plain,
    spl69_39,
    inference(avatar_split_clause,[],[f473,f838]) ).

fof(f473,plain,
    ! [X0] :
      ( sP4(X0)
      | ssItem(sK27(X0)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f836,plain,
    spl69_38,
    inference(avatar_split_clause,[],[f454,f834]) ).

fof(f454,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f832,plain,
    spl69_37,
    inference(avatar_split_clause,[],[f453,f830]) ).

fof(f453,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f828,plain,
    spl69_36,
    inference(avatar_split_clause,[],[f452,f826]) ).

fof(f452,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f824,plain,
    spl69_35,
    inference(avatar_split_clause,[],[f451,f822]) ).

fof(f451,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f820,plain,
    spl69_34,
    inference(avatar_split_clause,[],[f450,f818]) ).

fof(f450,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f816,plain,
    spl69_33,
    inference(avatar_split_clause,[],[f449,f814]) ).

fof(f449,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f812,plain,
    ( spl69_32
    | ~ spl69_2
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f767,f739,f652,f809]) ).

fof(f767,plain,
    ( sP5(sK21)
    | ~ spl69_2
    | ~ spl69_20 ),
    inference(resolution,[],[f740,f654]) ).

fof(f807,plain,
    spl69_31,
    inference(avatar_split_clause,[],[f397,f805]) ).

fof(f397,plain,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ssItem(X0)
     => leq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f803,plain,
    spl69_30,
    inference(avatar_split_clause,[],[f396,f801]) ).

fof(f801,plain,
    ( spl69_30
  <=> ! [X0] :
        ( geq(X0,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).

fof(f396,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ! [X0] :
      ( ssItem(X0)
     => geq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f799,plain,
    spl69_29,
    inference(avatar_split_clause,[],[f395,f797]) ).

fof(f395,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ lt(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f795,plain,
    spl69_28,
    inference(avatar_split_clause,[],[f394,f793]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f773,plain,
    ( spl69_27
    | ~ spl69_1
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f766,f739,f647,f770]) ).

fof(f766,plain,
    ( sP5(sK20)
    | ~ spl69_1
    | ~ spl69_20 ),
    inference(resolution,[],[f740,f649]) ).

fof(f765,plain,
    spl69_26,
    inference(avatar_split_clause,[],[f548,f763]) ).

fof(f548,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f250,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f175,f249,f248]) ).

fof(f175,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f761,plain,
    spl69_25,
    inference(avatar_split_clause,[],[f537,f759]) ).

fof(f537,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f173,f246,f245]) ).

fof(f173,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => leq(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f757,plain,
    spl69_24,
    inference(avatar_split_clause,[],[f526,f755]) ).

fof(f526,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f171,f243,f242]) ).

fof(f171,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ~ ( leq(X2,X1)
                                  & leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f753,plain,
    spl69_23,
    inference(avatar_split_clause,[],[f514,f751]) ).

fof(f514,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f169,f240,f239]) ).

fof(f169,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( lt(X2,X1)
                                | lt(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f749,plain,
    spl69_22,
    inference(avatar_split_clause,[],[f502,f747]) ).

fof(f502,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f167,f237,f236]) ).

fof(f167,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( leq(X2,X1)
                                | leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f745,plain,
    spl69_21,
    inference(avatar_split_clause,[],[f490,f743]) ).

fof(f490,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f165,f234,f233]) ).

fof(f165,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => X1 != X2 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f741,plain,
    spl69_20,
    inference(avatar_split_clause,[],[f479,f739]) ).

fof(f479,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f163,f231,f230]) ).

fof(f163,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( equalelemsP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ( app(X3,cons(X1,cons(X2,X4))) = X0
                         => X1 = X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f737,plain,
    spl69_19,
    inference(avatar_split_clause,[],[f616,f735]) ).

fof(f616,plain,
    ! [X1] : sP2(nil,X1),
    inference(equality_resolution,[],[f443]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f272]) ).

fof(f733,plain,
    spl69_18,
    inference(avatar_split_clause,[],[f614,f731]) ).

fof(f614,plain,
    ! [X1] : sP0(nil,X1),
    inference(equality_resolution,[],[f435]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f729,plain,
    ~ spl69_17,
    inference(avatar_split_clause,[],[f601,f726]) ).

fof(f726,plain,
    ( spl69_17
  <=> sK67 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).

fof(f601,plain,
    sK67 != sK68,
    inference(cnf_transformation,[],[f374]) ).

fof(f374,plain,
    ( sK67 != sK68
    & ssItem(sK68)
    & ssItem(sK67) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f373,f372]) ).

fof(f372,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( X0 != X1
            & ssItem(X1) )
        & ssItem(X0) )
   => ( ? [X1] :
          ( sK67 != X1
          & ssItem(X1) )
      & ssItem(sK67) ) ),
    introduced(choice_axiom,[]) ).

fof(f373,plain,
    ( ? [X1] :
        ( sK67 != X1
        & ssItem(X1) )
   => ( sK67 != sK68
      & ssItem(sK68) ) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ? [X0] :
      ( ? [X1] :
          ( X0 != X1
          & ssItem(X1) )
      & ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f724,plain,
    spl69_16,
    inference(avatar_split_clause,[],[f600,f721]) ).

fof(f600,plain,
    ssItem(sK68),
    inference(cnf_transformation,[],[f374]) ).

fof(f719,plain,
    spl69_15,
    inference(avatar_split_clause,[],[f599,f716]) ).

fof(f599,plain,
    ssItem(sK67),
    inference(cnf_transformation,[],[f374]) ).

fof(f714,plain,
    spl69_14,
    inference(avatar_split_clause,[],[f393,f711]) ).

fof(f393,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f709,plain,
    spl69_13,
    inference(avatar_split_clause,[],[f392,f706]) ).

fof(f392,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f704,plain,
    spl69_12,
    inference(avatar_split_clause,[],[f391,f701]) ).

fof(f391,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f699,plain,
    spl69_11,
    inference(avatar_split_clause,[],[f390,f696]) ).

fof(f390,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f694,plain,
    spl69_10,
    inference(avatar_split_clause,[],[f389,f691]) ).

fof(f389,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f689,plain,
    spl69_9,
    inference(avatar_split_clause,[],[f388,f686]) ).

fof(f388,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f684,plain,
    spl69_8,
    inference(avatar_split_clause,[],[f387,f681]) ).

fof(f387,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f679,plain,
    spl69_7,
    inference(avatar_split_clause,[],[f386,f676]) ).

fof(f386,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f674,plain,
    ~ spl69_6,
    inference(avatar_split_clause,[],[f385,f671]) ).

fof(f385,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f669,plain,
    ( spl69_4
    | ~ spl69_5 ),
    inference(avatar_split_clause,[],[f645,f666,f662]) ).

fof(f645,plain,
    ( nil != sK21
    | sK20 = sK21 ),
    inference(inner_rewriting,[],[f383]) ).

fof(f383,plain,
    ( nil != sK21
    | nil = sK20 ),
    inference(cnf_transformation,[],[f255]) ).

fof(f660,plain,
    spl69_3,
    inference(avatar_split_clause,[],[f603,f657]) ).

fof(f603,plain,
    neq(sK21,nil),
    inference(definition_unfolding,[],[f381,f379]) ).

fof(f381,plain,
    neq(sK19,nil),
    inference(cnf_transformation,[],[f255]) ).

fof(f655,plain,
    spl69_2,
    inference(avatar_split_clause,[],[f378,f652]) ).

fof(f378,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f255]) ).

fof(f650,plain,
    spl69_1,
    inference(avatar_split_clause,[],[f377,f647]) ).

fof(f377,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f255]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWC418+1 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n017.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 03:53:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.36  % (11981)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (11984)WARNING: value z3 for option sas not known
% 0.22/0.38  % (11982)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (11983)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (11985)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (11984)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (11986)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  % (11987)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (11988)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [2]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [3]
% 0.22/0.46  TRYING [4]
% 0.22/0.47  TRYING [4]
% 1.34/0.54  TRYING [5]
% 1.49/0.57  TRYING [5]
% 2.69/0.75  TRYING [6]
% 3.40/0.84  TRYING [6]
% 5.74/1.19  TRYING [7]
% 6.80/1.36  TRYING [7]
% 7.90/1.49  TRYING [1]
% 7.90/1.49  TRYING [2]
% 7.90/1.49  TRYING [3]
% 7.90/1.53  TRYING [4]
% 8.27/1.55  % (11986)First to succeed.
% 8.41/1.60  % (11986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11981"
% 8.41/1.60  % (11986)Refutation found. Thanks to Tanya!
% 8.41/1.60  % SZS status Theorem for theBenchmark
% 8.41/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 8.41/1.63  % (11986)------------------------------
% 8.41/1.63  % (11986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.41/1.63  % (11986)Termination reason: Refutation
% 8.41/1.63  
% 8.41/1.63  % (11986)Memory used [KB]: 25021
% 8.41/1.63  % (11986)Time elapsed: 1.214 s
% 8.41/1.63  % (11986)Instructions burned: 3857 (million)
% 8.41/1.63  % (11981)Success in time 1.113 s
%------------------------------------------------------------------------------