TSTP Solution File: PUZ039-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ039-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:49:44 EDT 2024

% Result   : Unsatisfiable 2.55s 0.75s
% Output   : Refutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  946
% Syntax   : Number of formulae    : 3193 (  89 unt;   0 def)
%            Number of atoms       : 8015 (2288 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives : 8747 (3925   ~;3920   |;   0   &)
%                                         ( 902 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :  904 ( 902 usr; 903 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   2 con; 0-12 aty)
%            Number of variables   : 1394 (1394   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7437,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f52,f56,f60,f64,f68,f72,f76,f80,f84,f88,f92,f96,f100,f104,f108,f112,f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f160,f164,f168,f172,f176,f180,f184,f188,f192,f196,f200,f204,f208,f212,f216,f221,f232,f237,f244,f249,f254,f259,f268,f285,f290,f317,f322,f329,f334,f339,f344,f349,f358,f363,f368,f379,f384,f389,f394,f399,f404,f409,f416,f429,f452,f457,f462,f467,f472,f519,f524,f529,f534,f539,f544,f549,f554,f563,f572,f577,f582,f587,f592,f597,f602,f613,f618,f623,f628,f641,f646,f651,f656,f661,f666,f671,f676,f681,f686,f691,f696,f701,f706,f711,f716,f721,f730,f775,f780,f785,f818,f823,f828,f833,f838,f843,f848,f853,f858,f863,f948,f953,f958,f963,f968,f973,f980,f989,f994,f999,f1004,f1009,f1014,f1019,f1034,f1039,f1044,f1049,f1054,f1059,f1064,f1071,f1086,f1093,f1098,f1103,f1108,f1113,f1118,f1123,f1128,f1133,f1144,f1149,f1154,f1159,f1164,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1276,f1281,f1286,f1291,f1296,f1301,f1306,f1311,f1316,f1321,f1326,f1331,f1336,f1341,f1346,f1351,f1356,f1371,f1386,f1401,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1565,f1570,f1575,f1580,f1585,f1590,f1595,f1600,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1762,f1767,f1772,f1777,f1786,f1791,f1796,f1801,f1806,f1811,f1816,f1821,f1826,f1839,f1844,f1849,f1854,f1859,f1864,f1869,f1874,f1879,f1884,f1889,f1894,f1905,f1910,f1915,f1920,f1925,f1930,f1935,f1940,f1945,f1950,f1963,f1968,f1973,f1978,f1983,f1988,f1993,f2000,f2015,f2030,f2041,f2046,f2051,f2056,f2061,f2066,f2071,f2076,f2081,f2086,f2091,f2096,f2101,f2106,f2111,f2116,f2127,f2132,f2137,f2142,f2147,f2192,f2197,f2202,f2207,f2212,f2225,f2230,f2235,f2240,f2245,f2250,f2255,f2260,f2265,f2270,f2275,f2280,f2285,f2290,f2295,f2300,f2305,f2310,f2315,f2320,f2325,f2330,f2335,f2340,f2345,f2350,f2355,f2360,f2365,f2370,f2375,f2380,f2385,f2390,f2395,f2400,f2405,f2410,f2415,f2420,f2425,f2430,f2435,f2440,f2445,f2458,f2473,f2490,f2505,f2516,f2521,f2526,f2531,f2536,f2541,f2654,f2659,f2664,f2669,f2674,f2679,f2684,f2689,f2694,f2699,f2794,f2799,f2804,f2809,f2814,f2819,f2824,f2829,f2834,f2839,f2844,f2849,f2854,f2859,f2864,f2869,f2874,f2879,f2884,f2889,f2894,f2899,f2904,f3091,f3096,f3101,f3106,f3111,f3116,f3127,f3132,f3137,f3142,f3147,f3152,f3157,f3162,f3167,f3178,f3185,f3190,f3195,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3255,f3260,f3265,f3270,f3275,f3286,f3291,f3296,f3301,f3306,f3311,f3316,f3321,f3326,f3331,f3346,f3351,f3356,f3361,f3366,f3371,f3376,f3381,f3386,f3391,f3402,f3407,f3412,f3417,f3428,f3443,f3458,f3473,f3484,f3489,f3494,f3499,f3512,f3517,f3522,f3527,f3532,f3537,f3542,f3547,f3552,f3557,f3570,f3575,f3580,f3585,f3590,f3595,f3600,f3605,f3610,f3615,f3658,f3667,f3672,f3677,f3682,f3687,f3692,f3697,f3702,f3707,f3712,f3717,f3722,f3727,f3732,f3737,f3742,f3747,f3752,f3757,f3762,f3767,f3772,f3777,f3782,f3787,f3792,f3797,f3802,f3807,f3812,f3817,f3822,f3827,f3832,f3837,f3842,f3847,f3852,f3857,f3862,f3867,f3872,f3877,f3882,f3887,f3892,f3897,f3902,f3907,f3912,f3917,f3922,f3927,f3932,f3937,f3942,f3947,f3952,f3957,f3962,f3967,f3972,f3977,f3982,f3987,f3992,f3997,f4002,f4007,f4012,f4019,f4034,f4049,f4064,f4079,f4094,f4109,f4116,f4121,f4126,f4131,f4136,f4141,f4146,f4309,f4314,f4319,f4324,f4329,f4334,f4339,f4344,f4349,f4354,f4359,f4364,f4479,f4484,f4489,f4494,f4499,f4504,f4509,f4514,f4519,f4524,f4529,f4534,f4539,f4544,f4549,f4554,f4559,f4564,f4569,f4574,f4579,f4584,f4589,f4594,f4599,f4604,f4609,f4614,f4619,f4624,f4629,f4634,f4899,f4904,f4909,f4914,f4919,f4924,f4929,f4934,f4943,f4952,f4957,f4962,f4967,f4972,f4977,f4982,f4987,f4992,f4997,f5002,f5007,f5012,f5037,f5042,f5047,f5052,f5057,f5062,f5067,f5072,f5077,f5082,f5087,f5092,f5097,f5102,f5107,f5112,f5117,f5122,f5127,f5132,f5137,f5142,f5147,f5152,f5157,f5170,f5175,f5180,f5185,f5190,f5195,f5200,f5205,f5210,f5215,f5226,f5231,f5236,f5241,f5246,f5251,f5256,f5261,f5266,f5271,f5282,f5287,f5292,f5297,f5302,f5307,f5312,f5317,f5322,f5327,f5332,f5337,f5350,f5367,f5380,f5397,f5410,f5421,f5426,f5431,f5436,f5441,f5454,f5459,f5464,f5469,f5474,f5479,f5484,f5489,f5494,f5499,f5514,f5519,f5524,f5529,f5534,f5539,f5544,f5549,f5554,f5559,f5572,f5577,f5582,f5587,f5592,f5597,f5602,f5607,f5612,f5617,f5632,f5637,f5642,f5687,f5702,f5709,f5714,f5719,f5724,f5729,f5734,f5739,f5744,f5749,f5754,f5759,f5764,f5769,f5774,f5779,f5784,f5789,f5794,f5799,f5804,f5809,f5814,f5819,f5824,f5829,f5834,f5839,f5844,f5849,f5854,f5859,f5864,f5869,f5874,f5879,f5884,f5889,f5894,f5899,f5904,f5909,f5914,f5919,f5924,f5929,f5934,f5939,f5944,f5949,f5954,f5959,f5964,f5969,f5974,f5979,f5984,f5989,f5994,f5999,f6004,f6009,f6014,f6019,f6024,f6029,f6034,f6039,f6044,f6049,f6054,f6059,f6064,f6069,f6074,f6079,f6084,f6089,f6094,f6099,f6104,f6109,f6114,f6119,f6124,f6129,f6134,f6139,f6144,f6149,f6154,f6159,f6164,f6169,f6174,f6179,f6184,f6191,f6204,f6219,f6236,f6249,f6264,f6279,f6294,f6309,f6322,f6327,f6334,f6339,f6344,f6349,f6354,f6359,f6364,f6369,f6582,f6587,f6592,f6597,f6602,f6607,f6612,f6617,f6622,f6627,f6632,f6637,f6642,f6647,f6652,f6657,f6662,f6667,f6672,f6855,f6860,f6865,f6870,f6875,f6880,f6885,f6890,f6895,f6900,f6905,f6910,f6915,f6920,f6925,f6930,f6935,f6940,f6945,f6950,f6955,f6960,f6965,f6970,f6975,f6980,f6985,f6990,f6995,f7000,f7005,f7010,f7015,f7020,f7025,f7030,f7035,f7040,f7045,f7050,f7055,f7060,f7065,f7070,f7425,f7436]) ).

fof(f7436,plain,
    ( ~ spl0_1
    | ~ spl0_902 ),
    inference(avatar_contradiction_clause,[],[f7435]) ).

fof(f7435,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_902 ),
    inference(trivial_inequality_removal,[],[f7430]) ).

fof(f7430,plain,
    ( true != true
    | ~ spl0_1
    | ~ spl0_902 ),
    inference(superposition,[],[f47,f7424]) ).

fof(f7424,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o)))))
    | ~ spl0_902 ),
    inference(avatar_component_clause,[],[f7422]) ).

fof(f7422,plain,
    ( spl0_902
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).

fof(f47,plain,
    ( ! [X3,X10,X11,X1,X7,X14,X4,X17,X5,X12,X13] : true != state(X1,X3,X4,X5,v4(s(s(o)),s(s(o))),X7,X14,X10,X11,X12,X17,X13)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_1
  <=> ! [X3,X10,X11,X1,X7,X14,X4,X17,X5,X12,X13] : true != state(X1,X3,X4,X5,v4(s(s(o)),s(s(o))),X7,X14,X10,X11,X12,X17,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f7425,plain,
    ( spl0_902
    | ~ spl0_2
    | ~ spl0_829 ),
    inference(avatar_split_clause,[],[f6328,f6319,f50,f7422]) ).

fof(f50,plain,
    ( spl0_2
  <=> ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f6319,plain,
    ( spl0_829
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).

fof(f6328,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_829 ),
    inference(superposition,[],[f6321,f51]) ).

fof(f51,plain,
    ( ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f6321,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),true)
    | ~ spl0_829 ),
    inference(avatar_component_clause,[],[f6319]) ).

fof(f7070,plain,
    ( spl0_901
    | ~ spl0_2
    | ~ spl0_819 ),
    inference(avatar_split_clause,[],[f6316,f6181,f50,f7067]) ).

fof(f7067,plain,
    ( spl0_901
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).

fof(f6181,plain,
    ( spl0_819
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).

fof(f6316,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_819 ),
    inference(superposition,[],[f6183,f51]) ).

fof(f6183,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_819 ),
    inference(avatar_component_clause,[],[f6181]) ).

fof(f7065,plain,
    ( spl0_900
    | ~ spl0_2
    | ~ spl0_816 ),
    inference(avatar_split_clause,[],[f6314,f6166,f50,f7062]) ).

fof(f7062,plain,
    ( spl0_900
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).

fof(f6166,plain,
    ( spl0_816
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).

fof(f6314,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_816 ),
    inference(superposition,[],[f6168,f51]) ).

fof(f6168,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_816 ),
    inference(avatar_component_clause,[],[f6166]) ).

fof(f7060,plain,
    ( spl0_899
    | ~ spl0_2
    | ~ spl0_814 ),
    inference(avatar_split_clause,[],[f6312,f6156,f50,f7057]) ).

fof(f7057,plain,
    ( spl0_899
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).

fof(f6156,plain,
    ( spl0_814
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).

fof(f6312,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_814 ),
    inference(superposition,[],[f6158,f51]) ).

fof(f6158,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_814 ),
    inference(avatar_component_clause,[],[f6156]) ).

fof(f7055,plain,
    ( spl0_898
    | ~ spl0_2
    | ~ spl0_813 ),
    inference(avatar_split_clause,[],[f6310,f6151,f50,f7052]) ).

fof(f7052,plain,
    ( spl0_898
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).

fof(f6151,plain,
    ( spl0_813
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).

fof(f6310,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_813 ),
    inference(superposition,[],[f6153,f51]) ).

fof(f6153,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_813 ),
    inference(avatar_component_clause,[],[f6151]) ).

fof(f7050,plain,
    ( spl0_897
    | ~ spl0_2
    | ~ spl0_809 ),
    inference(avatar_split_clause,[],[f6303,f6131,f50,f7047]) ).

fof(f7047,plain,
    ( spl0_897
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).

fof(f6131,plain,
    ( spl0_809
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).

fof(f6303,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_809 ),
    inference(superposition,[],[f6133,f51]) ).

fof(f6133,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_809 ),
    inference(avatar_component_clause,[],[f6131]) ).

fof(f7045,plain,
    ( spl0_896
    | ~ spl0_2
    | ~ spl0_808 ),
    inference(avatar_split_clause,[],[f6301,f6126,f50,f7042]) ).

fof(f7042,plain,
    ( spl0_896
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).

fof(f6126,plain,
    ( spl0_808
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).

fof(f6301,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_808 ),
    inference(superposition,[],[f6128,f51]) ).

fof(f6128,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_808 ),
    inference(avatar_component_clause,[],[f6126]) ).

fof(f7040,plain,
    ( spl0_895
    | ~ spl0_2
    | ~ spl0_806 ),
    inference(avatar_split_clause,[],[f6299,f6116,f50,f7037]) ).

fof(f7037,plain,
    ( spl0_895
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).

fof(f6116,plain,
    ( spl0_806
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).

fof(f6299,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_806 ),
    inference(superposition,[],[f6118,f51]) ).

fof(f6118,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_806 ),
    inference(avatar_component_clause,[],[f6116]) ).

fof(f7035,plain,
    ( spl0_894
    | ~ spl0_2
    | ~ spl0_803 ),
    inference(avatar_split_clause,[],[f6297,f6101,f50,f7032]) ).

fof(f7032,plain,
    ( spl0_894
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).

fof(f6101,plain,
    ( spl0_803
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).

fof(f6297,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_803 ),
    inference(superposition,[],[f6103,f51]) ).

fof(f6103,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_803 ),
    inference(avatar_component_clause,[],[f6101]) ).

fof(f7030,plain,
    ( spl0_893
    | ~ spl0_2
    | ~ spl0_802 ),
    inference(avatar_split_clause,[],[f6295,f6096,f50,f7027]) ).

fof(f7027,plain,
    ( spl0_893
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).

fof(f6096,plain,
    ( spl0_802
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).

fof(f6295,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_802 ),
    inference(superposition,[],[f6098,f51]) ).

fof(f6098,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_802 ),
    inference(avatar_component_clause,[],[f6096]) ).

fof(f7025,plain,
    ( spl0_892
    | ~ spl0_2
    | ~ spl0_800 ),
    inference(avatar_split_clause,[],[f6288,f6086,f50,f7022]) ).

fof(f7022,plain,
    ( spl0_892
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).

fof(f6086,plain,
    ( spl0_800
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).

fof(f6288,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_800 ),
    inference(superposition,[],[f6088,f51]) ).

fof(f6088,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_800 ),
    inference(avatar_component_clause,[],[f6086]) ).

fof(f7020,plain,
    ( spl0_891
    | ~ spl0_2
    | ~ spl0_796 ),
    inference(avatar_split_clause,[],[f6286,f6066,f50,f7017]) ).

fof(f7017,plain,
    ( spl0_891
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).

fof(f6066,plain,
    ( spl0_796
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).

fof(f6286,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_796 ),
    inference(superposition,[],[f6068,f51]) ).

fof(f6068,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_796 ),
    inference(avatar_component_clause,[],[f6066]) ).

fof(f7015,plain,
    ( spl0_890
    | ~ spl0_2
    | ~ spl0_794 ),
    inference(avatar_split_clause,[],[f6284,f6056,f50,f7012]) ).

fof(f7012,plain,
    ( spl0_890
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).

fof(f6056,plain,
    ( spl0_794
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).

fof(f6284,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_794 ),
    inference(superposition,[],[f6058,f51]) ).

fof(f6058,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_794 ),
    inference(avatar_component_clause,[],[f6056]) ).

fof(f7010,plain,
    ( spl0_889
    | ~ spl0_2
    | ~ spl0_793 ),
    inference(avatar_split_clause,[],[f6282,f6051,f50,f7007]) ).

fof(f7007,plain,
    ( spl0_889
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).

fof(f6051,plain,
    ( spl0_793
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).

fof(f6282,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_793 ),
    inference(superposition,[],[f6053,f51]) ).

fof(f6053,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_793 ),
    inference(avatar_component_clause,[],[f6051]) ).

fof(f7005,plain,
    ( spl0_888
    | ~ spl0_2
    | ~ spl0_791 ),
    inference(avatar_split_clause,[],[f6280,f6041,f50,f7002]) ).

fof(f7002,plain,
    ( spl0_888
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).

fof(f6041,plain,
    ( spl0_791
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).

fof(f6280,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_791 ),
    inference(superposition,[],[f6043,f51]) ).

fof(f6043,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_791 ),
    inference(avatar_component_clause,[],[f6041]) ).

fof(f7000,plain,
    ( spl0_887
    | ~ spl0_2
    | ~ spl0_789 ),
    inference(avatar_split_clause,[],[f6273,f6031,f50,f6997]) ).

fof(f6997,plain,
    ( spl0_887
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).

fof(f6031,plain,
    ( spl0_789
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).

fof(f6273,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_789 ),
    inference(superposition,[],[f6033,f51]) ).

fof(f6033,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_789 ),
    inference(avatar_component_clause,[],[f6031]) ).

fof(f6995,plain,
    ( spl0_886
    | ~ spl0_2
    | ~ spl0_786 ),
    inference(avatar_split_clause,[],[f6271,f6016,f50,f6992]) ).

fof(f6992,plain,
    ( spl0_886
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).

fof(f6016,plain,
    ( spl0_786
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).

fof(f6271,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_786 ),
    inference(superposition,[],[f6018,f51]) ).

fof(f6018,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_786 ),
    inference(avatar_component_clause,[],[f6016]) ).

fof(f6990,plain,
    ( spl0_885
    | ~ spl0_2
    | ~ spl0_784 ),
    inference(avatar_split_clause,[],[f6269,f6006,f50,f6987]) ).

fof(f6987,plain,
    ( spl0_885
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).

fof(f6006,plain,
    ( spl0_784
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).

fof(f6269,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_784 ),
    inference(superposition,[],[f6008,f51]) ).

fof(f6008,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_784 ),
    inference(avatar_component_clause,[],[f6006]) ).

fof(f6985,plain,
    ( spl0_884
    | ~ spl0_2
    | ~ spl0_782 ),
    inference(avatar_split_clause,[],[f6267,f5996,f50,f6982]) ).

fof(f6982,plain,
    ( spl0_884
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).

fof(f5996,plain,
    ( spl0_782
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).

fof(f6267,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_782 ),
    inference(superposition,[],[f5998,f51]) ).

fof(f5998,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_782 ),
    inference(avatar_component_clause,[],[f5996]) ).

fof(f6980,plain,
    ( spl0_883
    | ~ spl0_2
    | ~ spl0_780 ),
    inference(avatar_split_clause,[],[f6265,f5986,f50,f6977]) ).

fof(f6977,plain,
    ( spl0_883
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).

fof(f5986,plain,
    ( spl0_780
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).

fof(f6265,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_780 ),
    inference(superposition,[],[f5988,f51]) ).

fof(f5988,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_780 ),
    inference(avatar_component_clause,[],[f5986]) ).

fof(f6975,plain,
    ( spl0_882
    | ~ spl0_2
    | ~ spl0_778 ),
    inference(avatar_split_clause,[],[f6258,f5976,f50,f6972]) ).

fof(f6972,plain,
    ( spl0_882
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).

fof(f5976,plain,
    ( spl0_778
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).

fof(f6258,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_778 ),
    inference(superposition,[],[f5978,f51]) ).

fof(f5978,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_778 ),
    inference(avatar_component_clause,[],[f5976]) ).

fof(f6970,plain,
    ( spl0_881
    | ~ spl0_2
    | ~ spl0_775 ),
    inference(avatar_split_clause,[],[f6256,f5961,f50,f6967]) ).

fof(f6967,plain,
    ( spl0_881
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).

fof(f5961,plain,
    ( spl0_775
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).

fof(f6256,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_775 ),
    inference(superposition,[],[f5963,f51]) ).

fof(f5963,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_775 ),
    inference(avatar_component_clause,[],[f5961]) ).

fof(f6965,plain,
    ( spl0_880
    | ~ spl0_2
    | ~ spl0_773 ),
    inference(avatar_split_clause,[],[f6254,f5951,f50,f6962]) ).

fof(f6962,plain,
    ( spl0_880
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).

fof(f5951,plain,
    ( spl0_773
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).

fof(f6254,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_773 ),
    inference(superposition,[],[f5953,f51]) ).

fof(f5953,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_773 ),
    inference(avatar_component_clause,[],[f5951]) ).

fof(f6960,plain,
    ( spl0_879
    | ~ spl0_2
    | ~ spl0_771 ),
    inference(avatar_split_clause,[],[f6252,f5941,f50,f6957]) ).

fof(f6957,plain,
    ( spl0_879
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).

fof(f5941,plain,
    ( spl0_771
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).

fof(f6252,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_771 ),
    inference(superposition,[],[f5943,f51]) ).

fof(f5943,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_771 ),
    inference(avatar_component_clause,[],[f5941]) ).

fof(f6955,plain,
    ( spl0_878
    | ~ spl0_2
    | ~ spl0_769 ),
    inference(avatar_split_clause,[],[f6250,f5931,f50,f6952]) ).

fof(f6952,plain,
    ( spl0_878
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).

fof(f5931,plain,
    ( spl0_769
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).

fof(f6250,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_769 ),
    inference(superposition,[],[f5933,f51]) ).

fof(f5933,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_769 ),
    inference(avatar_component_clause,[],[f5931]) ).

fof(f6950,plain,
    ( spl0_877
    | ~ spl0_2
    | ~ spl0_767 ),
    inference(avatar_split_clause,[],[f6243,f5921,f50,f6947]) ).

fof(f6947,plain,
    ( spl0_877
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).

fof(f5921,plain,
    ( spl0_767
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).

fof(f6243,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_767 ),
    inference(superposition,[],[f5923,f51]) ).

fof(f5923,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_767 ),
    inference(avatar_component_clause,[],[f5921]) ).

fof(f6945,plain,
    ( spl0_876
    | ~ spl0_2
    | ~ spl0_764 ),
    inference(avatar_split_clause,[],[f6241,f5906,f50,f6942]) ).

fof(f6942,plain,
    ( spl0_876
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).

fof(f5906,plain,
    ( spl0_764
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).

fof(f6241,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_764 ),
    inference(superposition,[],[f5908,f51]) ).

fof(f5908,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_764 ),
    inference(avatar_component_clause,[],[f5906]) ).

fof(f6940,plain,
    ( spl0_875
    | ~ spl0_2
    | ~ spl0_762 ),
    inference(avatar_split_clause,[],[f6239,f5896,f50,f6937]) ).

fof(f6937,plain,
    ( spl0_875
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).

fof(f5896,plain,
    ( spl0_762
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).

fof(f6239,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_762 ),
    inference(superposition,[],[f5898,f51]) ).

fof(f5898,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_762 ),
    inference(avatar_component_clause,[],[f5896]) ).

fof(f6935,plain,
    ( spl0_874
    | ~ spl0_2
    | ~ spl0_760 ),
    inference(avatar_split_clause,[],[f6237,f5886,f50,f6932]) ).

fof(f6932,plain,
    ( spl0_874
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).

fof(f5886,plain,
    ( spl0_760
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).

fof(f6237,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_760 ),
    inference(superposition,[],[f5888,f51]) ).

fof(f5888,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_760 ),
    inference(avatar_component_clause,[],[f5886]) ).

fof(f6930,plain,
    ( spl0_873
    | ~ spl0_2
    | ~ spl0_757 ),
    inference(avatar_split_clause,[],[f6230,f5871,f50,f6927]) ).

fof(f6927,plain,
    ( spl0_873
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).

fof(f5871,plain,
    ( spl0_757
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).

fof(f6230,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_757 ),
    inference(superposition,[],[f5873,f51]) ).

fof(f5873,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_757 ),
    inference(avatar_component_clause,[],[f5871]) ).

fof(f6925,plain,
    ( spl0_872
    | ~ spl0_2
    | ~ spl0_754 ),
    inference(avatar_split_clause,[],[f6228,f5856,f50,f6922]) ).

fof(f6922,plain,
    ( spl0_872
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).

fof(f5856,plain,
    ( spl0_754
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).

fof(f6228,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_754 ),
    inference(superposition,[],[f5858,f51]) ).

fof(f5858,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_754 ),
    inference(avatar_component_clause,[],[f5856]) ).

fof(f6920,plain,
    ( spl0_871
    | ~ spl0_2
    | ~ spl0_752 ),
    inference(avatar_split_clause,[],[f6226,f5846,f50,f6917]) ).

fof(f6917,plain,
    ( spl0_871
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).

fof(f5846,plain,
    ( spl0_752
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).

fof(f6226,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_752 ),
    inference(superposition,[],[f5848,f51]) ).

fof(f5848,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_752 ),
    inference(avatar_component_clause,[],[f5846]) ).

fof(f6915,plain,
    ( spl0_870
    | ~ spl0_2
    | ~ spl0_751 ),
    inference(avatar_split_clause,[],[f6224,f5841,f50,f6912]) ).

fof(f6912,plain,
    ( spl0_870
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).

fof(f5841,plain,
    ( spl0_751
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).

fof(f6224,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_751 ),
    inference(superposition,[],[f5843,f51]) ).

fof(f5843,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_751 ),
    inference(avatar_component_clause,[],[f5841]) ).

fof(f6910,plain,
    ( spl0_869
    | ~ spl0_2
    | ~ spl0_749 ),
    inference(avatar_split_clause,[],[f6222,f5831,f50,f6907]) ).

fof(f6907,plain,
    ( spl0_869
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).

fof(f5831,plain,
    ( spl0_749
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).

fof(f6222,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_749 ),
    inference(superposition,[],[f5833,f51]) ).

fof(f5833,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_749 ),
    inference(avatar_component_clause,[],[f5831]) ).

fof(f6905,plain,
    ( spl0_868
    | ~ spl0_2
    | ~ spl0_747 ),
    inference(avatar_split_clause,[],[f6220,f5821,f50,f6902]) ).

fof(f6902,plain,
    ( spl0_868
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).

fof(f5821,plain,
    ( spl0_747
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).

fof(f6220,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_747 ),
    inference(superposition,[],[f5823,f51]) ).

fof(f5823,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_747 ),
    inference(avatar_component_clause,[],[f5821]) ).

fof(f6900,plain,
    ( spl0_867
    | ~ spl0_2
    | ~ spl0_743 ),
    inference(avatar_split_clause,[],[f6213,f5801,f50,f6897]) ).

fof(f6897,plain,
    ( spl0_867
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).

fof(f5801,plain,
    ( spl0_743
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).

fof(f6213,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_743 ),
    inference(superposition,[],[f5803,f51]) ).

fof(f5803,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_743 ),
    inference(avatar_component_clause,[],[f5801]) ).

fof(f6895,plain,
    ( spl0_866
    | ~ spl0_2
    | ~ spl0_742 ),
    inference(avatar_split_clause,[],[f6211,f5796,f50,f6892]) ).

fof(f6892,plain,
    ( spl0_866
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).

fof(f5796,plain,
    ( spl0_742
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).

fof(f6211,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_742 ),
    inference(superposition,[],[f5798,f51]) ).

fof(f5798,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_742 ),
    inference(avatar_component_clause,[],[f5796]) ).

fof(f6890,plain,
    ( spl0_865
    | ~ spl0_2
    | ~ spl0_740 ),
    inference(avatar_split_clause,[],[f6209,f5786,f50,f6887]) ).

fof(f6887,plain,
    ( spl0_865
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).

fof(f5786,plain,
    ( spl0_740
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).

fof(f6209,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_740 ),
    inference(superposition,[],[f5788,f51]) ).

fof(f5788,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_740 ),
    inference(avatar_component_clause,[],[f5786]) ).

fof(f6885,plain,
    ( spl0_864
    | ~ spl0_2
    | ~ spl0_738 ),
    inference(avatar_split_clause,[],[f6207,f5776,f50,f6882]) ).

fof(f6882,plain,
    ( spl0_864
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).

fof(f5776,plain,
    ( spl0_738
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).

fof(f6207,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_738 ),
    inference(superposition,[],[f5778,f51]) ).

fof(f5778,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_738 ),
    inference(avatar_component_clause,[],[f5776]) ).

fof(f6880,plain,
    ( spl0_863
    | ~ spl0_2
    | ~ spl0_736 ),
    inference(avatar_split_clause,[],[f6205,f5766,f50,f6877]) ).

fof(f6877,plain,
    ( spl0_863
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).

fof(f5766,plain,
    ( spl0_736
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).

fof(f6205,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_736 ),
    inference(superposition,[],[f5768,f51]) ).

fof(f5768,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_736 ),
    inference(avatar_component_clause,[],[f5766]) ).

fof(f6875,plain,
    ( spl0_862
    | ~ spl0_2
    | ~ spl0_734 ),
    inference(avatar_split_clause,[],[f6198,f5756,f50,f6872]) ).

fof(f6872,plain,
    ( spl0_862
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).

fof(f5756,plain,
    ( spl0_734
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).

fof(f6198,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_734 ),
    inference(superposition,[],[f5758,f51]) ).

fof(f5758,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_734 ),
    inference(avatar_component_clause,[],[f5756]) ).

fof(f6870,plain,
    ( spl0_861
    | ~ spl0_2
    | ~ spl0_731 ),
    inference(avatar_split_clause,[],[f6196,f5741,f50,f6867]) ).

fof(f6867,plain,
    ( spl0_861
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).

fof(f5741,plain,
    ( spl0_731
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f6196,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_731 ),
    inference(superposition,[],[f5743,f51]) ).

fof(f5743,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_731 ),
    inference(avatar_component_clause,[],[f5741]) ).

fof(f6865,plain,
    ( spl0_860
    | ~ spl0_2
    | ~ spl0_728 ),
    inference(avatar_split_clause,[],[f6194,f5726,f50,f6862]) ).

fof(f6862,plain,
    ( spl0_860
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).

fof(f5726,plain,
    ( spl0_728
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f6194,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_728 ),
    inference(superposition,[],[f5728,f51]) ).

fof(f5728,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_728 ),
    inference(avatar_component_clause,[],[f5726]) ).

fof(f6860,plain,
    ( spl0_859
    | ~ spl0_2
    | ~ spl0_726 ),
    inference(avatar_split_clause,[],[f6192,f5716,f50,f6857]) ).

fof(f6857,plain,
    ( spl0_859
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).

fof(f5716,plain,
    ( spl0_726
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f6192,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_726 ),
    inference(superposition,[],[f5718,f51]) ).

fof(f5718,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_726 ),
    inference(avatar_component_clause,[],[f5716]) ).

fof(f6855,plain,
    ( spl0_858
    | ~ spl0_2
    | ~ spl0_724 ),
    inference(avatar_split_clause,[],[f6185,f5706,f50,f6852]) ).

fof(f6852,plain,
    ( spl0_858
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).

fof(f5706,plain,
    ( spl0_724
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f6185,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_724 ),
    inference(superposition,[],[f5708,f51]) ).

fof(f5708,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_724 ),
    inference(avatar_component_clause,[],[f5706]) ).

fof(f6672,plain,
    ( spl0_857
    | ~ spl0_2
    | ~ spl0_721 ),
    inference(avatar_split_clause,[],[f5703,f5639,f50,f6669]) ).

fof(f6669,plain,
    ( spl0_857
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).

fof(f5639,plain,
    ( spl0_721
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f5703,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_721 ),
    inference(superposition,[],[f5641,f51]) ).

fof(f5641,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_721 ),
    inference(avatar_component_clause,[],[f5639]) ).

fof(f6667,plain,
    ( spl0_856
    | ~ spl0_2
    | ~ spl0_719 ),
    inference(avatar_split_clause,[],[f5696,f5629,f50,f6664]) ).

fof(f6664,plain,
    ( spl0_856
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).

fof(f5629,plain,
    ( spl0_719
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f5696,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_719 ),
    inference(superposition,[],[f5631,f51]) ).

fof(f5631,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_719 ),
    inference(avatar_component_clause,[],[f5629]) ).

fof(f6662,plain,
    ( spl0_855
    | ~ spl0_2
    | ~ spl0_717 ),
    inference(avatar_split_clause,[],[f5694,f5609,f50,f6659]) ).

fof(f6659,plain,
    ( spl0_855
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).

fof(f5609,plain,
    ( spl0_717
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f5694,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_717 ),
    inference(superposition,[],[f5611,f51]) ).

fof(f5611,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_717 ),
    inference(avatar_component_clause,[],[f5609]) ).

fof(f6657,plain,
    ( spl0_854
    | ~ spl0_2
    | ~ spl0_715 ),
    inference(avatar_split_clause,[],[f5692,f5599,f50,f6654]) ).

fof(f6654,plain,
    ( spl0_854
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).

fof(f5599,plain,
    ( spl0_715
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f5692,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_715 ),
    inference(superposition,[],[f5601,f51]) ).

fof(f5601,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_715 ),
    inference(avatar_component_clause,[],[f5599]) ).

fof(f6652,plain,
    ( spl0_853
    | ~ spl0_2
    | ~ spl0_713 ),
    inference(avatar_split_clause,[],[f5690,f5589,f50,f6649]) ).

fof(f6649,plain,
    ( spl0_853
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).

fof(f5589,plain,
    ( spl0_713
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f5690,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_713 ),
    inference(superposition,[],[f5591,f51]) ).

fof(f5591,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_713 ),
    inference(avatar_component_clause,[],[f5589]) ).

fof(f6647,plain,
    ( spl0_852
    | ~ spl0_2
    | ~ spl0_711 ),
    inference(avatar_split_clause,[],[f5688,f5579,f50,f6644]) ).

fof(f6644,plain,
    ( spl0_852
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).

fof(f5579,plain,
    ( spl0_711
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f5688,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_711 ),
    inference(superposition,[],[f5581,f51]) ).

fof(f5581,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_711 ),
    inference(avatar_component_clause,[],[f5579]) ).

fof(f6642,plain,
    ( spl0_851
    | ~ spl0_2
    | ~ spl0_709 ),
    inference(avatar_split_clause,[],[f5681,f5569,f50,f6639]) ).

fof(f6639,plain,
    ( spl0_851
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).

fof(f5569,plain,
    ( spl0_709
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f5681,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_709 ),
    inference(superposition,[],[f5571,f51]) ).

fof(f5571,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_709 ),
    inference(avatar_component_clause,[],[f5569]) ).

fof(f6637,plain,
    ( spl0_850
    | ~ spl0_2
    | ~ spl0_707 ),
    inference(avatar_split_clause,[],[f5679,f5551,f50,f6634]) ).

fof(f6634,plain,
    ( spl0_850
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).

fof(f5551,plain,
    ( spl0_707
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f5679,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_707 ),
    inference(superposition,[],[f5553,f51]) ).

fof(f5553,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_707 ),
    inference(avatar_component_clause,[],[f5551]) ).

fof(f6632,plain,
    ( spl0_849
    | ~ spl0_2
    | ~ spl0_705 ),
    inference(avatar_split_clause,[],[f5677,f5541,f50,f6629]) ).

fof(f6629,plain,
    ( spl0_849
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).

fof(f5541,plain,
    ( spl0_705
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f5677,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_705 ),
    inference(superposition,[],[f5543,f51]) ).

fof(f5543,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_705 ),
    inference(avatar_component_clause,[],[f5541]) ).

fof(f6627,plain,
    ( spl0_848
    | ~ spl0_2
    | ~ spl0_703 ),
    inference(avatar_split_clause,[],[f5675,f5531,f50,f6624]) ).

fof(f6624,plain,
    ( spl0_848
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).

fof(f5531,plain,
    ( spl0_703
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f5675,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_703 ),
    inference(superposition,[],[f5533,f51]) ).

fof(f5533,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_703 ),
    inference(avatar_component_clause,[],[f5531]) ).

fof(f6622,plain,
    ( spl0_847
    | ~ spl0_2
    | ~ spl0_701 ),
    inference(avatar_split_clause,[],[f5673,f5521,f50,f6619]) ).

fof(f6619,plain,
    ( spl0_847
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).

fof(f5521,plain,
    ( spl0_701
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f5673,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_701 ),
    inference(superposition,[],[f5523,f51]) ).

fof(f5523,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_701 ),
    inference(avatar_component_clause,[],[f5521]) ).

fof(f6617,plain,
    ( spl0_846
    | ~ spl0_2
    | ~ spl0_699 ),
    inference(avatar_split_clause,[],[f5665,f5511,f50,f6614]) ).

fof(f6614,plain,
    ( spl0_846
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).

fof(f5511,plain,
    ( spl0_699
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f5665,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_699 ),
    inference(superposition,[],[f5513,f51]) ).

fof(f5513,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_699 ),
    inference(avatar_component_clause,[],[f5511]) ).

fof(f6612,plain,
    ( spl0_845
    | ~ spl0_2
    | ~ spl0_696 ),
    inference(avatar_split_clause,[],[f5663,f5486,f50,f6609]) ).

fof(f6609,plain,
    ( spl0_845
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).

fof(f5486,plain,
    ( spl0_696
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f5663,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_696 ),
    inference(superposition,[],[f5488,f51]) ).

fof(f5488,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_696 ),
    inference(avatar_component_clause,[],[f5486]) ).

fof(f6607,plain,
    ( spl0_844
    | ~ spl0_2
    | ~ spl0_695 ),
    inference(avatar_split_clause,[],[f5661,f5481,f50,f6604]) ).

fof(f6604,plain,
    ( spl0_844
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).

fof(f5481,plain,
    ( spl0_695
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f5661,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_695 ),
    inference(superposition,[],[f5483,f51]) ).

fof(f5483,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_695 ),
    inference(avatar_component_clause,[],[f5481]) ).

fof(f6602,plain,
    ( spl0_843
    | ~ spl0_2
    | ~ spl0_692 ),
    inference(avatar_split_clause,[],[f5659,f5466,f50,f6599]) ).

fof(f6599,plain,
    ( spl0_843
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).

fof(f5466,plain,
    ( spl0_692
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f5659,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_692 ),
    inference(superposition,[],[f5468,f51]) ).

fof(f5468,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_692 ),
    inference(avatar_component_clause,[],[f5466]) ).

fof(f6597,plain,
    ( spl0_842
    | ~ spl0_2
    | ~ spl0_691 ),
    inference(avatar_split_clause,[],[f5657,f5461,f50,f6594]) ).

fof(f6594,plain,
    ( spl0_842
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).

fof(f5461,plain,
    ( spl0_691
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f5657,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_691 ),
    inference(superposition,[],[f5463,f51]) ).

fof(f5463,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_691 ),
    inference(avatar_component_clause,[],[f5461]) ).

fof(f6592,plain,
    ( spl0_841
    | ~ spl0_2
    | ~ spl0_688 ),
    inference(avatar_split_clause,[],[f5647,f5438,f50,f6589]) ).

fof(f6589,plain,
    ( spl0_841
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).

fof(f5438,plain,
    ( spl0_688
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f5647,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_688 ),
    inference(superposition,[],[f5440,f51]) ).

fof(f5440,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_688 ),
    inference(avatar_component_clause,[],[f5438]) ).

fof(f6587,plain,
    ( spl0_840
    | ~ spl0_2
    | ~ spl0_686 ),
    inference(avatar_split_clause,[],[f5645,f5428,f50,f6584]) ).

fof(f6584,plain,
    ( spl0_840
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).

fof(f5428,plain,
    ( spl0_686
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f5645,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_686 ),
    inference(superposition,[],[f5430,f51]) ).

fof(f5430,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_686 ),
    inference(avatar_component_clause,[],[f5428]) ).

fof(f6582,plain,
    ( spl0_839
    | ~ spl0_2
    | ~ spl0_685 ),
    inference(avatar_split_clause,[],[f5643,f5423,f50,f6579]) ).

fof(f6579,plain,
    ( spl0_839
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).

fof(f5423,plain,
    ( spl0_685
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f5643,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_685 ),
    inference(superposition,[],[f5425,f51]) ).

fof(f5425,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_685 ),
    inference(avatar_component_clause,[],[f5423]) ).

fof(f6369,plain,
    ( spl0_838
    | ~ spl0_2
    | ~ spl0_678 ),
    inference(avatar_split_clause,[],[f5415,f5334,f50,f6366]) ).

fof(f6366,plain,
    ( spl0_838
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).

fof(f5334,plain,
    ( spl0_678
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f5415,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_678 ),
    inference(superposition,[],[f5336,f51]) ).

fof(f5336,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_678 ),
    inference(avatar_component_clause,[],[f5334]) ).

fof(f6364,plain,
    ( spl0_837
    | ~ spl0_2
    | ~ spl0_675 ),
    inference(avatar_split_clause,[],[f5413,f5319,f50,f6361]) ).

fof(f6361,plain,
    ( spl0_837
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).

fof(f5319,plain,
    ( spl0_675
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f5413,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_675 ),
    inference(superposition,[],[f5321,f51]) ).

fof(f5321,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_675 ),
    inference(avatar_component_clause,[],[f5319]) ).

fof(f6359,plain,
    ( spl0_836
    | ~ spl0_2
    | ~ spl0_673 ),
    inference(avatar_split_clause,[],[f5411,f5309,f50,f6356]) ).

fof(f6356,plain,
    ( spl0_836
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).

fof(f5309,plain,
    ( spl0_673
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f5411,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_673 ),
    inference(superposition,[],[f5311,f51]) ).

fof(f5311,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_673 ),
    inference(avatar_component_clause,[],[f5309]) ).

fof(f6354,plain,
    ( spl0_835
    | ~ spl0_2
    | ~ spl0_671 ),
    inference(avatar_split_clause,[],[f5404,f5299,f50,f6351]) ).

fof(f6351,plain,
    ( spl0_835
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).

fof(f5299,plain,
    ( spl0_671
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f5404,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_671 ),
    inference(superposition,[],[f5301,f51]) ).

fof(f5301,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_671 ),
    inference(avatar_component_clause,[],[f5299]) ).

fof(f6349,plain,
    ( spl0_834
    | ~ spl0_2
    | ~ spl0_669 ),
    inference(avatar_split_clause,[],[f5402,f5289,f50,f6346]) ).

fof(f6346,plain,
    ( spl0_834
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).

fof(f5289,plain,
    ( spl0_669
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f5402,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_669 ),
    inference(superposition,[],[f5291,f51]) ).

fof(f5291,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_669 ),
    inference(avatar_component_clause,[],[f5289]) ).

fof(f6344,plain,
    ( spl0_833
    | ~ spl0_2
    | ~ spl0_667 ),
    inference(avatar_split_clause,[],[f5400,f5279,f50,f6341]) ).

fof(f6341,plain,
    ( spl0_833
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).

fof(f5279,plain,
    ( spl0_667
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f5400,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_667 ),
    inference(superposition,[],[f5281,f51]) ).

fof(f5281,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_667 ),
    inference(avatar_component_clause,[],[f5279]) ).

fof(f6339,plain,
    ( spl0_832
    | ~ spl0_2
    | ~ spl0_665 ),
    inference(avatar_split_clause,[],[f5398,f5263,f50,f6336]) ).

fof(f6336,plain,
    ( spl0_832
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).

fof(f5263,plain,
    ( spl0_665
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f5398,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_665 ),
    inference(superposition,[],[f5265,f51]) ).

fof(f5265,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_665 ),
    inference(avatar_component_clause,[],[f5263]) ).

fof(f6334,plain,
    ( spl0_831
    | ~ spl0_2
    | ~ spl0_662 ),
    inference(avatar_split_clause,[],[f5391,f5248,f50,f6331]) ).

fof(f6331,plain,
    ( spl0_831
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).

fof(f5248,plain,
    ( spl0_662
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f5391,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_662 ),
    inference(superposition,[],[f5250,f51]) ).

fof(f5250,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_662 ),
    inference(avatar_component_clause,[],[f5248]) ).

fof(f6327,plain,
    ( spl0_830
    | ~ spl0_36
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f4638,f4476,f186,f6324]) ).

fof(f6324,plain,
    ( spl0_830
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).

fof(f186,plain,
    ( spl0_36
  <=> ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f4476,plain,
    ( spl0_568
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f4638,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),true,true,true)
    | ~ spl0_36
    | ~ spl0_568 ),
    inference(superposition,[],[f187,f4478]) ).

fof(f4478,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_568 ),
    inference(avatar_component_clause,[],[f4476]) ).

fof(f187,plain,
    ( ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f6322,plain,
    ( spl0_829
    | ~ spl0_37
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f4637,f4476,f190,f6319]) ).

fof(f190,plain,
    ( spl0_37
  <=> ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f4637,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),true)
    | ~ spl0_37
    | ~ spl0_568 ),
    inference(superposition,[],[f191,f4478]) ).

fof(f191,plain,
    ( ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f6309,plain,
    ( spl0_828
    | ~ spl0_2
    | ~ spl0_660 ),
    inference(avatar_split_clause,[],[f5389,f5238,f50,f6306]) ).

fof(f6306,plain,
    ( spl0_828
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).

fof(f5238,plain,
    ( spl0_660
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f5389,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_660 ),
    inference(superposition,[],[f5240,f51]) ).

fof(f5240,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_660 ),
    inference(avatar_component_clause,[],[f5238]) ).

fof(f6294,plain,
    ( spl0_827
    | ~ spl0_2
    | ~ spl0_658 ),
    inference(avatar_split_clause,[],[f5387,f5228,f50,f6291]) ).

fof(f6291,plain,
    ( spl0_827
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).

fof(f5228,plain,
    ( spl0_658
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f5387,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_658 ),
    inference(superposition,[],[f5230,f51]) ).

fof(f5230,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_658 ),
    inference(avatar_component_clause,[],[f5228]) ).

fof(f6279,plain,
    ( spl0_826
    | ~ spl0_2
    | ~ spl0_656 ),
    inference(avatar_split_clause,[],[f5385,f5212,f50,f6276]) ).

fof(f6276,plain,
    ( spl0_826
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).

fof(f5212,plain,
    ( spl0_656
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f5385,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_656 ),
    inference(superposition,[],[f5214,f51]) ).

fof(f5214,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_656 ),
    inference(avatar_component_clause,[],[f5212]) ).

fof(f6264,plain,
    ( spl0_825
    | ~ spl0_2
    | ~ spl0_654 ),
    inference(avatar_split_clause,[],[f5383,f5202,f50,f6261]) ).

fof(f6261,plain,
    ( spl0_825
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).

fof(f5202,plain,
    ( spl0_654
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f5383,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_654 ),
    inference(superposition,[],[f5204,f51]) ).

fof(f5204,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_654 ),
    inference(avatar_component_clause,[],[f5202]) ).

fof(f6249,plain,
    ( spl0_824
    | ~ spl0_2
    | ~ spl0_653 ),
    inference(avatar_split_clause,[],[f5381,f5197,f50,f6246]) ).

fof(f6246,plain,
    ( spl0_824
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).

fof(f5197,plain,
    ( spl0_653
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f5381,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_653 ),
    inference(superposition,[],[f5199,f51]) ).

fof(f5199,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_653 ),
    inference(avatar_component_clause,[],[f5197]) ).

fof(f6236,plain,
    ( spl0_823
    | ~ spl0_2
    | ~ spl0_650 ),
    inference(avatar_split_clause,[],[f5374,f5182,f50,f6233]) ).

fof(f6233,plain,
    ( spl0_823
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).

fof(f5182,plain,
    ( spl0_650
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f5374,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_650 ),
    inference(superposition,[],[f5184,f51]) ).

fof(f5184,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_650 ),
    inference(avatar_component_clause,[],[f5182]) ).

fof(f6219,plain,
    ( spl0_822
    | ~ spl0_2
    | ~ spl0_648 ),
    inference(avatar_split_clause,[],[f5372,f5172,f50,f6216]) ).

fof(f6216,plain,
    ( spl0_822
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).

fof(f5172,plain,
    ( spl0_648
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f5372,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_648 ),
    inference(superposition,[],[f5174,f51]) ).

fof(f5174,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_648 ),
    inference(avatar_component_clause,[],[f5172]) ).

fof(f6204,plain,
    ( spl0_821
    | ~ spl0_2
    | ~ spl0_647 ),
    inference(avatar_split_clause,[],[f5370,f5167,f50,f6201]) ).

fof(f6201,plain,
    ( spl0_821
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).

fof(f5167,plain,
    ( spl0_647
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f5370,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_647 ),
    inference(superposition,[],[f5169,f51]) ).

fof(f5169,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_647 ),
    inference(avatar_component_clause,[],[f5167]) ).

fof(f6191,plain,
    ( spl0_820
    | ~ spl0_2
    | ~ spl0_645 ),
    inference(avatar_split_clause,[],[f5368,f5149,f50,f6188]) ).

fof(f6188,plain,
    ( spl0_820
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).

fof(f5149,plain,
    ( spl0_645
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f5368,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_645 ),
    inference(superposition,[],[f5151,f51]) ).

fof(f5151,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_645 ),
    inference(avatar_component_clause,[],[f5149]) ).

fof(f6184,plain,
    ( spl0_819
    | ~ spl0_3
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f4894,f4631,f54,f6181]) ).

fof(f54,plain,
    ( spl0_3
  <=> ! [X7,X3,X10,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X15,X16)),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X15,X16),e2(X8,X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f4631,plain,
    ( spl0_599
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f4894,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_599 ),
    inference(superposition,[],[f55,f4633]) ).

fof(f4633,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_599 ),
    inference(avatar_component_clause,[],[f4631]) ).

fof(f55,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X15,X16)),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X15,X16),e2(X8,X9)),true)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f6179,plain,
    ( spl0_818
    | ~ spl0_3
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f4893,f4631,f54,f6176]) ).

fof(f6176,plain,
    ( spl0_818
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).

fof(f4893,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_599 ),
    inference(superposition,[],[f55,f4633]) ).

fof(f6174,plain,
    ( spl0_817
    | ~ spl0_12
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f4892,f4631,f90,f6171]) ).

fof(f6171,plain,
    ( spl0_817
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).

fof(f90,plain,
    ( spl0_12
  <=> ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f4892,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_12
    | ~ spl0_599 ),
    inference(superposition,[],[f91,f4633]) ).

fof(f91,plain,
    ( ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f6169,plain,
    ( spl0_816
    | ~ spl0_13
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f4891,f4631,f94,f6166]) ).

fof(f94,plain,
    ( spl0_13
  <=> ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f4891,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_13
    | ~ spl0_599 ),
    inference(superposition,[],[f95,f4633]) ).

fof(f95,plain,
    ( ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f6164,plain,
    ( spl0_815
    | ~ spl0_4
    | ~ spl0_598 ),
    inference(avatar_split_clause,[],[f4884,f4626,f58,f6161]) ).

fof(f6161,plain,
    ( spl0_815
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).

fof(f58,plain,
    ( spl0_4
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f4626,plain,
    ( spl0_598
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f4884,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_4
    | ~ spl0_598 ),
    inference(superposition,[],[f59,f4628]) ).

fof(f4628,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_598 ),
    inference(avatar_component_clause,[],[f4626]) ).

fof(f59,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f6159,plain,
    ( spl0_814
    | ~ spl0_5
    | ~ spl0_598 ),
    inference(avatar_split_clause,[],[f4883,f4626,f62,f6156]) ).

fof(f62,plain,
    ( spl0_5
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f4883,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_5
    | ~ spl0_598 ),
    inference(superposition,[],[f63,f4628]) ).

fof(f63,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f6154,plain,
    ( spl0_813
    | ~ spl0_3
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4878,f4621,f54,f6151]) ).

fof(f4621,plain,
    ( spl0_597
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f4878,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_597 ),
    inference(superposition,[],[f55,f4623]) ).

fof(f4623,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_597 ),
    inference(avatar_component_clause,[],[f4621]) ).

fof(f6149,plain,
    ( spl0_812
    | ~ spl0_3
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4877,f4621,f54,f6146]) ).

fof(f6146,plain,
    ( spl0_812
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).

fof(f4877,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_597 ),
    inference(superposition,[],[f55,f4623]) ).

fof(f6144,plain,
    ( spl0_811
    | ~ spl0_16
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4876,f4621,f106,f6141]) ).

fof(f6141,plain,
    ( spl0_811
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).

fof(f106,plain,
    ( spl0_16
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f4876,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_16
    | ~ spl0_597 ),
    inference(superposition,[],[f107,f4623]) ).

fof(f107,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f6139,plain,
    ( spl0_810
    | ~ spl0_2
    | ~ spl0_642 ),
    inference(avatar_split_clause,[],[f5361,f5134,f50,f6136]) ).

fof(f6136,plain,
    ( spl0_810
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).

fof(f5134,plain,
    ( spl0_642
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f5361,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_642 ),
    inference(superposition,[],[f5136,f51]) ).

fof(f5136,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_642 ),
    inference(avatar_component_clause,[],[f5134]) ).

fof(f6134,plain,
    ( spl0_809
    | ~ spl0_17
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4875,f4621,f110,f6131]) ).

fof(f110,plain,
    ( spl0_17
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f4875,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_17
    | ~ spl0_597 ),
    inference(superposition,[],[f111,f4623]) ).

fof(f111,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f6129,plain,
    ( spl0_808
    | ~ spl0_4
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4872,f4621,f58,f6126]) ).

fof(f4872,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_4
    | ~ spl0_597 ),
    inference(superposition,[],[f59,f4623]) ).

fof(f6124,plain,
    ( spl0_807
    | ~ spl0_5
    | ~ spl0_597 ),
    inference(avatar_split_clause,[],[f4871,f4621,f62,f6121]) ).

fof(f6121,plain,
    ( spl0_807
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).

fof(f4871,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_5
    | ~ spl0_597 ),
    inference(superposition,[],[f63,f4623]) ).

fof(f6119,plain,
    ( spl0_806
    | ~ spl0_3
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4862,f4611,f54,f6116]) ).

fof(f4611,plain,
    ( spl0_595
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f4862,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_595 ),
    inference(superposition,[],[f55,f4613]) ).

fof(f4613,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_595 ),
    inference(avatar_component_clause,[],[f4611]) ).

fof(f6114,plain,
    ( spl0_805
    | ~ spl0_3
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4861,f4611,f54,f6111]) ).

fof(f6111,plain,
    ( spl0_805
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).

fof(f4861,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_595 ),
    inference(superposition,[],[f55,f4613]) ).

fof(f6109,plain,
    ( spl0_804
    | ~ spl0_16
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4860,f4611,f106,f6106]) ).

fof(f6106,plain,
    ( spl0_804
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).

fof(f4860,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_16
    | ~ spl0_595 ),
    inference(superposition,[],[f107,f4613]) ).

fof(f6104,plain,
    ( spl0_803
    | ~ spl0_17
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4859,f4611,f110,f6101]) ).

fof(f4859,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_17
    | ~ spl0_595 ),
    inference(superposition,[],[f111,f4613]) ).

fof(f6099,plain,
    ( spl0_802
    | ~ spl0_6
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4856,f4611,f66,f6096]) ).

fof(f66,plain,
    ( spl0_6
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f4856,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_6
    | ~ spl0_595 ),
    inference(superposition,[],[f67,f4613]) ).

fof(f67,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f6094,plain,
    ( spl0_801
    | ~ spl0_7
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f4855,f4611,f70,f6091]) ).

fof(f6091,plain,
    ( spl0_801
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).

fof(f70,plain,
    ( spl0_7
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f4855,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_7
    | ~ spl0_595 ),
    inference(superposition,[],[f71,f4613]) ).

fof(f71,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f6089,plain,
    ( spl0_800
    | ~ spl0_3
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f4852,f4606,f54,f6086]) ).

fof(f4606,plain,
    ( spl0_594
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f4852,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_594 ),
    inference(superposition,[],[f55,f4608]) ).

fof(f4608,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_594 ),
    inference(avatar_component_clause,[],[f4606]) ).

fof(f6084,plain,
    ( spl0_799
    | ~ spl0_2
    | ~ spl0_641 ),
    inference(avatar_split_clause,[],[f5359,f5129,f50,f6081]) ).

fof(f6081,plain,
    ( spl0_799
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).

fof(f5129,plain,
    ( spl0_641
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f5359,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_641 ),
    inference(superposition,[],[f5131,f51]) ).

fof(f5131,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_641 ),
    inference(avatar_component_clause,[],[f5129]) ).

fof(f6079,plain,
    ( spl0_798
    | ~ spl0_3
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f4851,f4606,f54,f6076]) ).

fof(f6076,plain,
    ( spl0_798
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).

fof(f4851,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_594 ),
    inference(superposition,[],[f55,f4608]) ).

fof(f6074,plain,
    ( spl0_797
    | ~ spl0_16
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f4850,f4606,f106,f6071]) ).

fof(f6071,plain,
    ( spl0_797
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).

fof(f4850,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_16
    | ~ spl0_594 ),
    inference(superposition,[],[f107,f4608]) ).

fof(f6069,plain,
    ( spl0_796
    | ~ spl0_17
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f4849,f4606,f110,f6066]) ).

fof(f4849,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_17
    | ~ spl0_594 ),
    inference(superposition,[],[f111,f4608]) ).

fof(f6064,plain,
    ( spl0_795
    | ~ spl0_8
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f4840,f4601,f74,f6061]) ).

fof(f6061,plain,
    ( spl0_795
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).

fof(f74,plain,
    ( spl0_8
  <=> ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f4601,plain,
    ( spl0_593
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f4840,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_8
    | ~ spl0_593 ),
    inference(superposition,[],[f75,f4603]) ).

fof(f4603,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_593 ),
    inference(avatar_component_clause,[],[f4601]) ).

fof(f75,plain,
    ( ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f6059,plain,
    ( spl0_794
    | ~ spl0_9
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f4839,f4601,f78,f6056]) ).

fof(f78,plain,
    ( spl0_9
  <=> ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f4839,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_9
    | ~ spl0_593 ),
    inference(superposition,[],[f79,f4603]) ).

fof(f79,plain,
    ( ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f6054,plain,
    ( spl0_793
    | ~ spl0_3
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4830,f4591,f54,f6051]) ).

fof(f4591,plain,
    ( spl0_591
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f4830,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_591 ),
    inference(superposition,[],[f55,f4593]) ).

fof(f4593,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_591 ),
    inference(avatar_component_clause,[],[f4591]) ).

fof(f6049,plain,
    ( spl0_792
    | ~ spl0_3
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4829,f4591,f54,f6046]) ).

fof(f6046,plain,
    ( spl0_792
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).

fof(f4829,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_591 ),
    inference(superposition,[],[f55,f4593]) ).

fof(f6044,plain,
    ( spl0_791
    | ~ spl0_12
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4826,f4591,f90,f6041]) ).

fof(f4826,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_12
    | ~ spl0_591 ),
    inference(superposition,[],[f91,f4593]) ).

fof(f6039,plain,
    ( spl0_790
    | ~ spl0_13
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4825,f4591,f94,f6036]) ).

fof(f6036,plain,
    ( spl0_790
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).

fof(f4825,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_591 ),
    inference(superposition,[],[f95,f4593]) ).

fof(f6034,plain,
    ( spl0_789
    | ~ spl0_6
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4824,f4591,f66,f6031]) ).

fof(f4824,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_6
    | ~ spl0_591 ),
    inference(superposition,[],[f67,f4593]) ).

fof(f6029,plain,
    ( spl0_788
    | ~ spl0_2
    | ~ spl0_639 ),
    inference(avatar_split_clause,[],[f5357,f5119,f50,f6026]) ).

fof(f6026,plain,
    ( spl0_788
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).

fof(f5119,plain,
    ( spl0_639
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f5357,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_639 ),
    inference(superposition,[],[f5121,f51]) ).

fof(f5121,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_639 ),
    inference(avatar_component_clause,[],[f5119]) ).

fof(f6024,plain,
    ( spl0_787
    | ~ spl0_7
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f4823,f4591,f70,f6021]) ).

fof(f6021,plain,
    ( spl0_787
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).

fof(f4823,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_7
    | ~ spl0_591 ),
    inference(superposition,[],[f71,f4593]) ).

fof(f6019,plain,
    ( spl0_786
    | ~ spl0_3
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4820,f4586,f54,f6016]) ).

fof(f4586,plain,
    ( spl0_590
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f4820,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_590 ),
    inference(superposition,[],[f55,f4588]) ).

fof(f4588,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_590 ),
    inference(avatar_component_clause,[],[f4586]) ).

fof(f6014,plain,
    ( spl0_785
    | ~ spl0_3
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4819,f4586,f54,f6011]) ).

fof(f6011,plain,
    ( spl0_785
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).

fof(f4819,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_590 ),
    inference(superposition,[],[f55,f4588]) ).

fof(f6009,plain,
    ( spl0_784
    | ~ spl0_16
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4818,f4586,f106,f6006]) ).

fof(f4818,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_16
    | ~ spl0_590 ),
    inference(superposition,[],[f107,f4588]) ).

fof(f6004,plain,
    ( spl0_783
    | ~ spl0_17
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4817,f4586,f110,f6001]) ).

fof(f6001,plain,
    ( spl0_783
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).

fof(f4817,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_17
    | ~ spl0_590 ),
    inference(superposition,[],[f111,f4588]) ).

fof(f5999,plain,
    ( spl0_782
    | ~ spl0_6
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4814,f4586,f66,f5996]) ).

fof(f4814,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_6
    | ~ spl0_590 ),
    inference(superposition,[],[f67,f4588]) ).

fof(f5994,plain,
    ( spl0_781
    | ~ spl0_7
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f4813,f4586,f70,f5991]) ).

fof(f5991,plain,
    ( spl0_781
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).

fof(f4813,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_7
    | ~ spl0_590 ),
    inference(superposition,[],[f71,f4588]) ).

fof(f5989,plain,
    ( spl0_780
    | ~ spl0_8
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f4808,f4581,f74,f5986]) ).

fof(f4581,plain,
    ( spl0_589
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f4808,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_8
    | ~ spl0_589 ),
    inference(superposition,[],[f75,f4583]) ).

fof(f4583,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_589 ),
    inference(avatar_component_clause,[],[f4581]) ).

fof(f5984,plain,
    ( spl0_779
    | ~ spl0_9
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f4807,f4581,f78,f5981]) ).

fof(f5981,plain,
    ( spl0_779
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).

fof(f4807,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_9
    | ~ spl0_589 ),
    inference(superposition,[],[f79,f4583]) ).

fof(f5979,plain,
    ( spl0_778
    | ~ spl0_3
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f4802,f4576,f54,f5976]) ).

fof(f4576,plain,
    ( spl0_588
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f4802,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_3
    | ~ spl0_588 ),
    inference(superposition,[],[f55,f4578]) ).

fof(f4578,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_588 ),
    inference(avatar_component_clause,[],[f4576]) ).

fof(f5974,plain,
    ( spl0_777
    | ~ spl0_2
    | ~ spl0_637 ),
    inference(avatar_split_clause,[],[f5355,f5109,f50,f5971]) ).

fof(f5971,plain,
    ( spl0_777
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).

fof(f5109,plain,
    ( spl0_637
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f5355,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_637 ),
    inference(superposition,[],[f5111,f51]) ).

fof(f5111,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_637 ),
    inference(avatar_component_clause,[],[f5109]) ).

fof(f5969,plain,
    ( spl0_776
    | ~ spl0_3
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f4801,f4576,f54,f5966]) ).

fof(f5966,plain,
    ( spl0_776
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).

fof(f4801,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_588 ),
    inference(superposition,[],[f55,f4578]) ).

fof(f5964,plain,
    ( spl0_775
    | ~ spl0_3
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f4794,f4571,f54,f5961]) ).

fof(f4571,plain,
    ( spl0_587
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f4794,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_587 ),
    inference(superposition,[],[f55,f4573]) ).

fof(f4573,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_587 ),
    inference(avatar_component_clause,[],[f4571]) ).

fof(f5959,plain,
    ( spl0_774
    | ~ spl0_3
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f4793,f4571,f54,f5956]) ).

fof(f5956,plain,
    ( spl0_774
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).

fof(f4793,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_587 ),
    inference(superposition,[],[f55,f4573]) ).

fof(f5954,plain,
    ( spl0_773
    | ~ spl0_3
    | ~ spl0_584 ),
    inference(avatar_split_clause,[],[f4772,f4556,f54,f5951]) ).

fof(f4556,plain,
    ( spl0_584
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f4772,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_3
    | ~ spl0_584 ),
    inference(superposition,[],[f55,f4558]) ).

fof(f4558,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_584 ),
    inference(avatar_component_clause,[],[f4556]) ).

fof(f5949,plain,
    ( spl0_772
    | ~ spl0_3
    | ~ spl0_584 ),
    inference(avatar_split_clause,[],[f4771,f4556,f54,f5946]) ).

fof(f5946,plain,
    ( spl0_772
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).

fof(f4771,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_584 ),
    inference(superposition,[],[f55,f4558]) ).

fof(f5944,plain,
    ( spl0_771
    | ~ spl0_3
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4758,f4546,f54,f5941]) ).

fof(f4546,plain,
    ( spl0_582
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f4758,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_582 ),
    inference(superposition,[],[f55,f4548]) ).

fof(f4548,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_582 ),
    inference(avatar_component_clause,[],[f4546]) ).

fof(f5939,plain,
    ( spl0_770
    | ~ spl0_3
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4757,f4546,f54,f5936]) ).

fof(f5936,plain,
    ( spl0_770
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).

fof(f4757,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_582 ),
    inference(superposition,[],[f55,f4548]) ).

fof(f5934,plain,
    ( spl0_769
    | ~ spl0_12
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4756,f4546,f90,f5931]) ).

fof(f4756,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_12
    | ~ spl0_582 ),
    inference(superposition,[],[f91,f4548]) ).

fof(f5929,plain,
    ( spl0_768
    | ~ spl0_13
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4755,f4546,f94,f5926]) ).

fof(f5926,plain,
    ( spl0_768
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).

fof(f4755,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_582 ),
    inference(superposition,[],[f95,f4548]) ).

fof(f5924,plain,
    ( spl0_767
    | ~ spl0_10
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4754,f4546,f82,f5921]) ).

fof(f82,plain,
    ( spl0_10
  <=> ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f4754,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_10
    | ~ spl0_582 ),
    inference(superposition,[],[f83,f4548]) ).

fof(f83,plain,
    ( ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f5919,plain,
    ( spl0_766
    | ~ spl0_2
    | ~ spl0_633 ),
    inference(avatar_split_clause,[],[f5353,f5089,f50,f5916]) ).

fof(f5916,plain,
    ( spl0_766
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).

fof(f5089,plain,
    ( spl0_633
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f5353,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_633 ),
    inference(superposition,[],[f5091,f51]) ).

fof(f5091,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_633 ),
    inference(avatar_component_clause,[],[f5089]) ).

fof(f5914,plain,
    ( spl0_765
    | ~ spl0_11
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f4753,f4546,f86,f5911]) ).

fof(f5911,plain,
    ( spl0_765
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).

fof(f86,plain,
    ( spl0_11
  <=> ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4753,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_11
    | ~ spl0_582 ),
    inference(superposition,[],[f87,f4548]) ).

fof(f87,plain,
    ( ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f5909,plain,
    ( spl0_764
    | ~ spl0_4
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f4746,f4541,f58,f5906]) ).

fof(f4541,plain,
    ( spl0_581
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f4746,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_4
    | ~ spl0_581 ),
    inference(superposition,[],[f59,f4543]) ).

fof(f4543,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_581 ),
    inference(avatar_component_clause,[],[f4541]) ).

fof(f5904,plain,
    ( spl0_763
    | ~ spl0_5
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f4745,f4541,f62,f5901]) ).

fof(f5901,plain,
    ( spl0_763
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).

fof(f4745,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(s(o)))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_5
    | ~ spl0_581 ),
    inference(superposition,[],[f63,f4543]) ).

fof(f5899,plain,
    ( spl0_762
    | ~ spl0_3
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f4740,f4536,f54,f5896]) ).

fof(f4536,plain,
    ( spl0_580
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f4740,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_3
    | ~ spl0_580 ),
    inference(superposition,[],[f55,f4538]) ).

fof(f4538,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_580 ),
    inference(avatar_component_clause,[],[f4536]) ).

fof(f5894,plain,
    ( spl0_761
    | ~ spl0_3
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f4739,f4536,f54,f5891]) ).

fof(f5891,plain,
    ( spl0_761
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).

fof(f4739,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_580 ),
    inference(superposition,[],[f55,f4538]) ).

fof(f5889,plain,
    ( spl0_760
    | ~ spl0_3
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f4732,f4531,f54,f5886]) ).

fof(f4531,plain,
    ( spl0_579
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f4732,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_579 ),
    inference(superposition,[],[f55,f4533]) ).

fof(f4533,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_579 ),
    inference(avatar_component_clause,[],[f4531]) ).

fof(f5884,plain,
    ( spl0_759
    | ~ spl0_3
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f4731,f4531,f54,f5881]) ).

fof(f5881,plain,
    ( spl0_759
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).

fof(f4731,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_579 ),
    inference(superposition,[],[f55,f4533]) ).

fof(f5879,plain,
    ( spl0_758
    | ~ spl0_16
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f4730,f4531,f106,f5876]) ).

fof(f5876,plain,
    ( spl0_758
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).

fof(f4730,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_579 ),
    inference(superposition,[],[f107,f4533]) ).

fof(f5874,plain,
    ( spl0_757
    | ~ spl0_17
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f4729,f4531,f110,f5871]) ).

fof(f4729,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_579 ),
    inference(superposition,[],[f111,f4533]) ).

fof(f5869,plain,
    ( spl0_756
    | ~ spl0_8
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f4722,f4526,f74,f5866]) ).

fof(f5866,plain,
    ( spl0_756
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).

fof(f4526,plain,
    ( spl0_578
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f4722,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_578 ),
    inference(superposition,[],[f75,f4528]) ).

fof(f4528,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_578 ),
    inference(avatar_component_clause,[],[f4526]) ).

fof(f5864,plain,
    ( spl0_755
    | ~ spl0_2
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f5351,f5084,f50,f5861]) ).

fof(f5861,plain,
    ( spl0_755
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).

fof(f5084,plain,
    ( spl0_632
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f5351,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_632 ),
    inference(superposition,[],[f5086,f51]) ).

fof(f5086,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_632 ),
    inference(avatar_component_clause,[],[f5084]) ).

fof(f5859,plain,
    ( spl0_754
    | ~ spl0_9
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f4721,f4526,f78,f5856]) ).

fof(f4721,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_9
    | ~ spl0_578 ),
    inference(superposition,[],[f79,f4528]) ).

fof(f5854,plain,
    ( spl0_753
    | ~ spl0_14
    | ~ spl0_577 ),
    inference(avatar_split_clause,[],[f4714,f4521,f98,f5851]) ).

fof(f5851,plain,
    ( spl0_753
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).

fof(f98,plain,
    ( spl0_14
  <=> ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f4521,plain,
    ( spl0_577
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f4714,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_14
    | ~ spl0_577 ),
    inference(superposition,[],[f99,f4523]) ).

fof(f4523,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_577 ),
    inference(avatar_component_clause,[],[f4521]) ).

fof(f99,plain,
    ( ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f5849,plain,
    ( spl0_752
    | ~ spl0_15
    | ~ spl0_577 ),
    inference(avatar_split_clause,[],[f4713,f4521,f102,f5846]) ).

fof(f102,plain,
    ( spl0_15
  <=> ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f4713,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_15
    | ~ spl0_577 ),
    inference(superposition,[],[f103,f4523]) ).

fof(f103,plain,
    ( ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f5844,plain,
    ( spl0_751
    | ~ spl0_6
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f4704,f4516,f66,f5841]) ).

fof(f4516,plain,
    ( spl0_576
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f4704,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_6
    | ~ spl0_576 ),
    inference(superposition,[],[f67,f4518]) ).

fof(f4518,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_576 ),
    inference(avatar_component_clause,[],[f4516]) ).

fof(f5839,plain,
    ( spl0_750
    | ~ spl0_7
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f4703,f4516,f70,f5836]) ).

fof(f5836,plain,
    ( spl0_750
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).

fof(f4703,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_7
    | ~ spl0_576 ),
    inference(superposition,[],[f71,f4518]) ).

fof(f5834,plain,
    ( spl0_749
    | ~ spl0_12
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f4698,f4511,f90,f5831]) ).

fof(f4511,plain,
    ( spl0_575
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f4698,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_12
    | ~ spl0_575 ),
    inference(superposition,[],[f91,f4513]) ).

fof(f4513,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_575 ),
    inference(avatar_component_clause,[],[f4511]) ).

fof(f5829,plain,
    ( spl0_748
    | ~ spl0_13
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f4697,f4511,f94,f5826]) ).

fof(f5826,plain,
    ( spl0_748
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).

fof(f4697,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(s(o)))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_13
    | ~ spl0_575 ),
    inference(superposition,[],[f95,f4513]) ).

fof(f5824,plain,
    ( spl0_747
    | ~ spl0_3
    | ~ spl0_574 ),
    inference(avatar_split_clause,[],[f4692,f4506,f54,f5821]) ).

fof(f4506,plain,
    ( spl0_574
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f4692,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_574 ),
    inference(superposition,[],[f55,f4508]) ).

fof(f4508,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_574 ),
    inference(avatar_component_clause,[],[f4506]) ).

fof(f5819,plain,
    ( spl0_746
    | ~ spl0_3
    | ~ spl0_574 ),
    inference(avatar_split_clause,[],[f4691,f4506,f54,f5816]) ).

fof(f5816,plain,
    ( spl0_746
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).

fof(f4691,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_574 ),
    inference(superposition,[],[f55,f4508]) ).

fof(f5814,plain,
    ( spl0_745
    | ~ spl0_16
    | ~ spl0_574 ),
    inference(avatar_split_clause,[],[f4690,f4506,f106,f5811]) ).

fof(f5811,plain,
    ( spl0_745
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).

fof(f4690,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_574 ),
    inference(superposition,[],[f107,f4508]) ).

fof(f5809,plain,
    ( spl0_744
    | ~ spl0_2
    | ~ spl0_629 ),
    inference(avatar_split_clause,[],[f5344,f5069,f50,f5806]) ).

fof(f5806,plain,
    ( spl0_744
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).

fof(f5069,plain,
    ( spl0_629
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f5344,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_629 ),
    inference(superposition,[],[f5071,f51]) ).

fof(f5071,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_629 ),
    inference(avatar_component_clause,[],[f5069]) ).

fof(f5804,plain,
    ( spl0_743
    | ~ spl0_17
    | ~ spl0_574 ),
    inference(avatar_split_clause,[],[f4689,f4506,f110,f5801]) ).

fof(f4689,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_574 ),
    inference(superposition,[],[f111,f4508]) ).

fof(f5799,plain,
    ( spl0_742
    | ~ spl0_12
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f4680,f4501,f90,f5796]) ).

fof(f4501,plain,
    ( spl0_573
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f4680,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_12
    | ~ spl0_573 ),
    inference(superposition,[],[f91,f4503]) ).

fof(f4503,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_573 ),
    inference(avatar_component_clause,[],[f4501]) ).

fof(f5794,plain,
    ( spl0_741
    | ~ spl0_13
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f4679,f4501,f94,f5791]) ).

fof(f5791,plain,
    ( spl0_741
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).

fof(f4679,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_13
    | ~ spl0_573 ),
    inference(superposition,[],[f95,f4503]) ).

fof(f5789,plain,
    ( spl0_740
    | ~ spl0_6
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f4678,f4501,f66,f5786]) ).

fof(f4678,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_6
    | ~ spl0_573 ),
    inference(superposition,[],[f67,f4503]) ).

fof(f5784,plain,
    ( spl0_739
    | ~ spl0_7
    | ~ spl0_573 ),
    inference(avatar_split_clause,[],[f4677,f4501,f70,f5781]) ).

fof(f5781,plain,
    ( spl0_739
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).

fof(f4677,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_7
    | ~ spl0_573 ),
    inference(superposition,[],[f71,f4503]) ).

fof(f5779,plain,
    ( spl0_738
    | ~ spl0_16
    | ~ spl0_572 ),
    inference(avatar_split_clause,[],[f4672,f4496,f106,f5776]) ).

fof(f4496,plain,
    ( spl0_572
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f4672,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_16
    | ~ spl0_572 ),
    inference(superposition,[],[f107,f4498]) ).

fof(f4498,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_572 ),
    inference(avatar_component_clause,[],[f4496]) ).

fof(f5774,plain,
    ( spl0_737
    | ~ spl0_17
    | ~ spl0_572 ),
    inference(avatar_split_clause,[],[f4671,f4496,f110,f5771]) ).

fof(f5771,plain,
    ( spl0_737
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).

fof(f4671,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_17
    | ~ spl0_572 ),
    inference(superposition,[],[f111,f4498]) ).

fof(f5769,plain,
    ( spl0_736
    | ~ spl0_3
    | ~ spl0_571 ),
    inference(avatar_split_clause,[],[f4666,f4491,f54,f5766]) ).

fof(f4491,plain,
    ( spl0_571
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f4666,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_571 ),
    inference(superposition,[],[f55,f4493]) ).

fof(f4493,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_571 ),
    inference(avatar_component_clause,[],[f4491]) ).

fof(f5764,plain,
    ( spl0_735
    | ~ spl0_3
    | ~ spl0_571 ),
    inference(avatar_split_clause,[],[f4665,f4491,f54,f5761]) ).

fof(f5761,plain,
    ( spl0_735
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).

fof(f4665,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_571 ),
    inference(superposition,[],[f55,f4493]) ).

fof(f5759,plain,
    ( spl0_734
    | ~ spl0_6
    | ~ spl0_571 ),
    inference(avatar_split_clause,[],[f4662,f4491,f66,f5756]) ).

fof(f4662,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_6
    | ~ spl0_571 ),
    inference(superposition,[],[f67,f4493]) ).

fof(f5754,plain,
    ( spl0_733
    | ~ spl0_2
    | ~ spl0_628 ),
    inference(avatar_split_clause,[],[f5342,f5064,f50,f5751]) ).

fof(f5751,plain,
    ( spl0_733
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).

fof(f5064,plain,
    ( spl0_628
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f5342,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_628 ),
    inference(superposition,[],[f5066,f51]) ).

fof(f5066,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_628 ),
    inference(avatar_component_clause,[],[f5064]) ).

fof(f5749,plain,
    ( spl0_732
    | ~ spl0_7
    | ~ spl0_571 ),
    inference(avatar_split_clause,[],[f4661,f4491,f70,f5746]) ).

fof(f5746,plain,
    ( spl0_732
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f4661,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_7
    | ~ spl0_571 ),
    inference(superposition,[],[f71,f4493]) ).

fof(f5744,plain,
    ( spl0_731
    | ~ spl0_4
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f4654,f4486,f58,f5741]) ).

fof(f4486,plain,
    ( spl0_570
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f4654,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_4
    | ~ spl0_570 ),
    inference(superposition,[],[f59,f4488]) ).

fof(f4488,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_570 ),
    inference(avatar_component_clause,[],[f4486]) ).

fof(f5739,plain,
    ( spl0_730
    | ~ spl0_5
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f4653,f4486,f62,f5736]) ).

fof(f5736,plain,
    ( spl0_730
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f4653,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_5
    | ~ spl0_570 ),
    inference(superposition,[],[f63,f4488]) ).

fof(f5734,plain,
    ( spl0_729
    | ~ spl0_10
    | ~ spl0_569 ),
    inference(avatar_split_clause,[],[f4648,f4481,f82,f5731]) ).

fof(f5731,plain,
    ( spl0_729
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f4481,plain,
    ( spl0_569
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f4648,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_10
    | ~ spl0_569 ),
    inference(superposition,[],[f83,f4483]) ).

fof(f4483,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_569 ),
    inference(avatar_component_clause,[],[f4481]) ).

fof(f5729,plain,
    ( spl0_728
    | ~ spl0_11
    | ~ spl0_569 ),
    inference(avatar_split_clause,[],[f4647,f4481,f86,f5726]) ).

fof(f4647,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_11
    | ~ spl0_569 ),
    inference(superposition,[],[f87,f4483]) ).

fof(f5724,plain,
    ( spl0_727
    | ~ spl0_28
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f4408,f4326,f154,f5721]) ).

fof(f5721,plain,
    ( spl0_727
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f154,plain,
    ( spl0_28
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true,state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f4326,plain,
    ( spl0_560
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f4408,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_28
    | ~ spl0_560 ),
    inference(superposition,[],[f155,f4328]) ).

fof(f4328,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_560 ),
    inference(avatar_component_clause,[],[f4326]) ).

fof(f155,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true,state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f5719,plain,
    ( spl0_726
    | ~ spl0_29
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f4407,f4326,f158,f5716]) ).

fof(f158,plain,
    ( spl0_29
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f4407,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_29
    | ~ spl0_560 ),
    inference(superposition,[],[f159,f4328]) ).

fof(f159,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f5714,plain,
    ( spl0_725
    | ~ spl0_28
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f4390,f4316,f154,f5711]) ).

fof(f5711,plain,
    ( spl0_725
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f4316,plain,
    ( spl0_558
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f4390,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_28
    | ~ spl0_558 ),
    inference(superposition,[],[f155,f4318]) ).

fof(f4318,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_558 ),
    inference(avatar_component_clause,[],[f4316]) ).

fof(f5709,plain,
    ( spl0_724
    | ~ spl0_29
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f4389,f4316,f158,f5706]) ).

fof(f4389,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_29
    | ~ spl0_558 ),
    inference(superposition,[],[f159,f4318]) ).

fof(f5702,plain,
    ( spl0_723
    | ~ spl0_2
    | ~ spl0_624 ),
    inference(avatar_split_clause,[],[f5340,f5044,f50,f5699]) ).

fof(f5699,plain,
    ( spl0_723
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f5044,plain,
    ( spl0_624
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f5340,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_624 ),
    inference(superposition,[],[f5046,f51]) ).

fof(f5046,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_624 ),
    inference(avatar_component_clause,[],[f5044]) ).

fof(f5687,plain,
    ( spl0_722
    | ~ spl0_2
    | ~ spl0_622 ),
    inference(avatar_split_clause,[],[f5338,f5034,f50,f5684]) ).

fof(f5684,plain,
    ( spl0_722
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f5034,plain,
    ( spl0_622
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f5338,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_622 ),
    inference(superposition,[],[f5036,f51]) ).

fof(f5036,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_622 ),
    inference(avatar_component_clause,[],[f5034]) ).

fof(f5642,plain,
    ( spl0_721
    | ~ spl0_26
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f4806,f4581,f146,f5639]) ).

fof(f146,plain,
    ( spl0_26
  <=> ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f4806,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_589 ),
    inference(superposition,[],[f147,f4583]) ).

fof(f147,plain,
    ( ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f5637,plain,
    ( spl0_720
    | ~ spl0_27
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f4805,f4581,f150,f5634]) ).

fof(f5634,plain,
    ( spl0_720
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f150,plain,
    ( spl0_27
  <=> ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f4805,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_589 ),
    inference(superposition,[],[f151,f4583]) ).

fof(f151,plain,
    ( ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f5632,plain,
    ( spl0_719
    | ~ spl0_24
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f4798,f4576,f138,f5629]) ).

fof(f138,plain,
    ( spl0_24
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f4798,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_24
    | ~ spl0_588 ),
    inference(superposition,[],[f139,f4578]) ).

fof(f139,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f5617,plain,
    ( spl0_718
    | ~ spl0_25
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f4797,f4576,f142,f5614]) ).

fof(f5614,plain,
    ( spl0_718
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f142,plain,
    ( spl0_25
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f4797,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_25
    | ~ spl0_588 ),
    inference(superposition,[],[f143,f4578]) ).

fof(f143,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f5612,plain,
    ( spl0_717
    | ~ spl0_38
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f4782,f4566,f194,f5609]) ).

fof(f194,plain,
    ( spl0_38
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f4566,plain,
    ( spl0_586
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f4782,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_38
    | ~ spl0_586 ),
    inference(superposition,[],[f195,f4568]) ).

fof(f4568,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_586 ),
    inference(avatar_component_clause,[],[f4566]) ).

fof(f195,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f5607,plain,
    ( spl0_716
    | ~ spl0_39
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f4781,f4566,f198,f5604]) ).

fof(f5604,plain,
    ( spl0_716
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f198,plain,
    ( spl0_39
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f4781,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_39
    | ~ spl0_586 ),
    inference(superposition,[],[f199,f4568]) ).

fof(f199,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f5602,plain,
    ( spl0_715
    | ~ spl0_24
    | ~ spl0_584 ),
    inference(avatar_split_clause,[],[f4768,f4556,f138,f5599]) ).

fof(f4768,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_24
    | ~ spl0_584 ),
    inference(superposition,[],[f139,f4558]) ).

fof(f5597,plain,
    ( spl0_714
    | ~ spl0_25
    | ~ spl0_584 ),
    inference(avatar_split_clause,[],[f4767,f4556,f142,f5594]) ).

fof(f5594,plain,
    ( spl0_714
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f4767,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_25
    | ~ spl0_584 ),
    inference(superposition,[],[f143,f4558]) ).

fof(f5592,plain,
    ( spl0_713
    | ~ spl0_26
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f4744,f4541,f146,f5589]) ).

fof(f4744,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_581 ),
    inference(superposition,[],[f147,f4543]) ).

fof(f5587,plain,
    ( spl0_712
    | ~ spl0_27
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f4743,f4541,f150,f5584]) ).

fof(f5584,plain,
    ( spl0_712
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f4743,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_581 ),
    inference(superposition,[],[f151,f4543]) ).

fof(f5582,plain,
    ( spl0_711
    | ~ spl0_24
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f4736,f4536,f138,f5579]) ).

fof(f4736,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_24
    | ~ spl0_580 ),
    inference(superposition,[],[f139,f4538]) ).

fof(f5577,plain,
    ( spl0_710
    | ~ spl0_25
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f4735,f4536,f142,f5574]) ).

fof(f5574,plain,
    ( spl0_710
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f4735,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_25
    | ~ spl0_580 ),
    inference(superposition,[],[f143,f4538]) ).

fof(f5572,plain,
    ( spl0_709
    | ~ spl0_26
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f4696,f4511,f146,f5569]) ).

fof(f4696,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_575 ),
    inference(superposition,[],[f147,f4513]) ).

fof(f5559,plain,
    ( spl0_708
    | ~ spl0_27
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f4695,f4511,f150,f5556]) ).

fof(f5556,plain,
    ( spl0_708
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f4695,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_575 ),
    inference(superposition,[],[f151,f4513]) ).

fof(f5554,plain,
    ( spl0_707
    | ~ spl0_26
    | ~ spl0_572 ),
    inference(avatar_split_clause,[],[f4670,f4496,f146,f5551]) ).

fof(f4670,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_572 ),
    inference(superposition,[],[f147,f4498]) ).

fof(f5549,plain,
    ( spl0_706
    | ~ spl0_27
    | ~ spl0_572 ),
    inference(avatar_split_clause,[],[f4669,f4496,f150,f5546]) ).

fof(f5546,plain,
    ( spl0_706
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f4669,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_572 ),
    inference(superposition,[],[f151,f4498]) ).

fof(f5544,plain,
    ( spl0_705
    | ~ spl0_8
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f4452,f4351,f74,f5541]) ).

fof(f4351,plain,
    ( spl0_565
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f4452,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_8
    | ~ spl0_565 ),
    inference(superposition,[],[f75,f4353]) ).

fof(f4353,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_565 ),
    inference(avatar_component_clause,[],[f4351]) ).

fof(f5539,plain,
    ( spl0_704
    | ~ spl0_9
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f4451,f4351,f78,f5536]) ).

fof(f5536,plain,
    ( spl0_704
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f4451,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_9
    | ~ spl0_565 ),
    inference(superposition,[],[f79,f4353]) ).

fof(f5534,plain,
    ( spl0_703
    | ~ spl0_8
    | ~ spl0_564 ),
    inference(avatar_split_clause,[],[f4442,f4346,f74,f5531]) ).

fof(f4346,plain,
    ( spl0_564
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f4442,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_8
    | ~ spl0_564 ),
    inference(superposition,[],[f75,f4348]) ).

fof(f4348,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_564 ),
    inference(avatar_component_clause,[],[f4346]) ).

fof(f5529,plain,
    ( spl0_702
    | ~ spl0_9
    | ~ spl0_564 ),
    inference(avatar_split_clause,[],[f4441,f4346,f78,f5526]) ).

fof(f5526,plain,
    ( spl0_702
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f4441,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_9
    | ~ spl0_564 ),
    inference(superposition,[],[f79,f4348]) ).

fof(f5524,plain,
    ( spl0_701
    | ~ spl0_3
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f4434,f4341,f54,f5521]) ).

fof(f4341,plain,
    ( spl0_563
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f4434,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_563 ),
    inference(superposition,[],[f55,f4343]) ).

fof(f4343,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_563 ),
    inference(avatar_component_clause,[],[f4341]) ).

fof(f5519,plain,
    ( spl0_700
    | ~ spl0_3
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f4433,f4341,f54,f5516]) ).

fof(f5516,plain,
    ( spl0_700
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f4433,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_563 ),
    inference(superposition,[],[f55,f4343]) ).

fof(f5514,plain,
    ( spl0_699
    | ~ spl0_4
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f4422,f4336,f58,f5511]) ).

fof(f4336,plain,
    ( spl0_562
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f4422,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_4
    | ~ spl0_562 ),
    inference(superposition,[],[f59,f4338]) ).

fof(f4338,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_562 ),
    inference(avatar_component_clause,[],[f4336]) ).

fof(f5499,plain,
    ( spl0_698
    | ~ spl0_5
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f4421,f4336,f62,f5496]) ).

fof(f5496,plain,
    ( spl0_698
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f4421,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_5
    | ~ spl0_562 ),
    inference(superposition,[],[f63,f4338]) ).

fof(f5494,plain,
    ( spl0_697
    | ~ spl0_18
    | ~ spl0_561 ),
    inference(avatar_split_clause,[],[f4416,f4331,f114,f5491]) ).

fof(f5491,plain,
    ( spl0_697
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f114,plain,
    ( spl0_18
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f4331,plain,
    ( spl0_561
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f4416,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_18
    | ~ spl0_561 ),
    inference(superposition,[],[f115,f4333]) ).

fof(f4333,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_561 ),
    inference(avatar_component_clause,[],[f4331]) ).

fof(f115,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f5489,plain,
    ( spl0_696
    | ~ spl0_19
    | ~ spl0_561 ),
    inference(avatar_split_clause,[],[f4415,f4331,f118,f5486]) ).

fof(f118,plain,
    ( spl0_19
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f4415,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_19
    | ~ spl0_561 ),
    inference(superposition,[],[f119,f4333]) ).

fof(f119,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f5484,plain,
    ( spl0_695
    | ~ spl0_3
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f4400,f4321,f54,f5481]) ).

fof(f4321,plain,
    ( spl0_559
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f4400,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_559 ),
    inference(superposition,[],[f55,f4323]) ).

fof(f4323,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_559 ),
    inference(avatar_component_clause,[],[f4321]) ).

fof(f5479,plain,
    ( spl0_694
    | ~ spl0_3
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f4399,f4321,f54,f5476]) ).

fof(f5476,plain,
    ( spl0_694
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f4399,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_559 ),
    inference(superposition,[],[f55,f4323]) ).

fof(f5474,plain,
    ( spl0_693
    | ~ spl0_14
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f4398,f4321,f98,f5471]) ).

fof(f5471,plain,
    ( spl0_693
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f4398,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_559 ),
    inference(superposition,[],[f99,f4323]) ).

fof(f5469,plain,
    ( spl0_692
    | ~ spl0_15
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f4397,f4321,f102,f5466]) ).

fof(f4397,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_15
    | ~ spl0_559 ),
    inference(superposition,[],[f103,f4323]) ).

fof(f5464,plain,
    ( spl0_691
    | ~ spl0_3
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f4382,f4311,f54,f5461]) ).

fof(f4311,plain,
    ( spl0_557
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f4382,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_557 ),
    inference(superposition,[],[f55,f4313]) ).

fof(f4313,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_557 ),
    inference(avatar_component_clause,[],[f4311]) ).

fof(f5459,plain,
    ( spl0_690
    | ~ spl0_3
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f4381,f4311,f54,f5456]) ).

fof(f5456,plain,
    ( spl0_690
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f4381,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_557 ),
    inference(superposition,[],[f55,f4313]) ).

fof(f5454,plain,
    ( spl0_689
    | ~ spl0_8
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f4378,f4311,f74,f5451]) ).

fof(f5451,plain,
    ( spl0_689
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f4378,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_557 ),
    inference(superposition,[],[f75,f4313]) ).

fof(f5441,plain,
    ( spl0_688
    | ~ spl0_9
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f4377,f4311,f78,f5438]) ).

fof(f4377,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_9
    | ~ spl0_557 ),
    inference(superposition,[],[f79,f4313]) ).

fof(f5436,plain,
    ( spl0_687
    | ~ spl0_18
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f4372,f4306,f114,f5433]) ).

fof(f5433,plain,
    ( spl0_687
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f4306,plain,
    ( spl0_556
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f4372,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_18
    | ~ spl0_556 ),
    inference(superposition,[],[f115,f4308]) ).

fof(f4308,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_556 ),
    inference(avatar_component_clause,[],[f4306]) ).

fof(f5431,plain,
    ( spl0_686
    | ~ spl0_19
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f4371,f4306,f118,f5428]) ).

fof(f4371,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_19
    | ~ spl0_556 ),
    inference(superposition,[],[f119,f4308]) ).

fof(f5426,plain,
    ( spl0_685
    | ~ spl0_4
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f4368,f4306,f58,f5423]) ).

fof(f4368,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_4
    | ~ spl0_556 ),
    inference(superposition,[],[f59,f4308]) ).

fof(f5421,plain,
    ( spl0_684
    | ~ spl0_5
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f4367,f4306,f62,f5418]) ).

fof(f5418,plain,
    ( spl0_684
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f4367,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_5
    | ~ spl0_556 ),
    inference(superposition,[],[f63,f4308]) ).

fof(f5410,plain,
    ( spl0_683
    | ~ spl0_2
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f5031,f5009,f50,f5407]) ).

fof(f5407,plain,
    ( spl0_683
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f5009,plain,
    ( spl0_621
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f5031,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_621 ),
    inference(superposition,[],[f5011,f51]) ).

fof(f5011,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true)
    | ~ spl0_621 ),
    inference(avatar_component_clause,[],[f5009]) ).

fof(f5397,plain,
    ( spl0_682
    | ~ spl0_2
    | ~ spl0_618 ),
    inference(avatar_split_clause,[],[f5029,f4994,f50,f5394]) ).

fof(f5394,plain,
    ( spl0_682
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f4994,plain,
    ( spl0_618
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f5029,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_618 ),
    inference(superposition,[],[f4996,f51]) ).

fof(f4996,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_618 ),
    inference(avatar_component_clause,[],[f4994]) ).

fof(f5380,plain,
    ( spl0_681
    | ~ spl0_2
    | ~ spl0_617 ),
    inference(avatar_split_clause,[],[f5027,f4989,f50,f5377]) ).

fof(f5377,plain,
    ( spl0_681
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f4989,plain,
    ( spl0_617
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f5027,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_617 ),
    inference(superposition,[],[f4991,f51]) ).

fof(f4991,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_617 ),
    inference(avatar_component_clause,[],[f4989]) ).

fof(f5367,plain,
    ( spl0_680
    | ~ spl0_2
    | ~ spl0_613 ),
    inference(avatar_split_clause,[],[f5017,f4969,f50,f5364]) ).

fof(f5364,plain,
    ( spl0_680
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f4969,plain,
    ( spl0_613
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f5017,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_613 ),
    inference(superposition,[],[f4971,f51]) ).

fof(f4971,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_613 ),
    inference(avatar_component_clause,[],[f4969]) ).

fof(f5350,plain,
    ( spl0_679
    | ~ spl0_2
    | ~ spl0_612 ),
    inference(avatar_split_clause,[],[f5015,f4964,f50,f5347]) ).

fof(f5347,plain,
    ( spl0_679
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f4964,plain,
    ( spl0_612
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f5015,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_612 ),
    inference(superposition,[],[f4966,f51]) ).

fof(f4966,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_612 ),
    inference(avatar_component_clause,[],[f4964]) ).

fof(f5337,plain,
    ( spl0_678
    | ~ spl0_28
    | ~ spl0_567 ),
    inference(avatar_split_clause,[],[f4472,f4361,f154,f5334]) ).

fof(f4361,plain,
    ( spl0_567
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f4472,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_28
    | ~ spl0_567 ),
    inference(superposition,[],[f155,f4363]) ).

fof(f4363,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_567 ),
    inference(avatar_component_clause,[],[f4361]) ).

fof(f5332,plain,
    ( spl0_677
    | ~ spl0_2
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f5013,f4949,f50,f5329]) ).

fof(f5329,plain,
    ( spl0_677
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f4949,plain,
    ( spl0_609
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f5013,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_609 ),
    inference(superposition,[],[f4951,f51]) ).

fof(f4951,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_609 ),
    inference(avatar_component_clause,[],[f4949]) ).

fof(f5327,plain,
    ( spl0_676
    | ~ spl0_29
    | ~ spl0_567 ),
    inference(avatar_split_clause,[],[f4471,f4361,f158,f5324]) ).

fof(f5324,plain,
    ( spl0_676
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f4471,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_29
    | ~ spl0_567 ),
    inference(superposition,[],[f159,f4363]) ).

fof(f5322,plain,
    ( spl0_675
    | ~ spl0_22
    | ~ spl0_567 ),
    inference(avatar_split_clause,[],[f4468,f4361,f130,f5319]) ).

fof(f130,plain,
    ( spl0_22
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f4468,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_22
    | ~ spl0_567 ),
    inference(superposition,[],[f131,f4363]) ).

fof(f131,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f5317,plain,
    ( spl0_674
    | ~ spl0_23
    | ~ spl0_567 ),
    inference(avatar_split_clause,[],[f4467,f4361,f134,f5314]) ).

fof(f5314,plain,
    ( spl0_674
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f134,plain,
    ( spl0_23
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f4467,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_23
    | ~ spl0_567 ),
    inference(superposition,[],[f135,f4363]) ).

fof(f135,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f5312,plain,
    ( spl0_673
    | ~ spl0_28
    | ~ spl0_566 ),
    inference(avatar_split_clause,[],[f4462,f4356,f154,f5309]) ).

fof(f4356,plain,
    ( spl0_566
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f4462,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_28
    | ~ spl0_566 ),
    inference(superposition,[],[f155,f4358]) ).

fof(f4358,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_566 ),
    inference(avatar_component_clause,[],[f4356]) ).

fof(f5307,plain,
    ( spl0_672
    | ~ spl0_29
    | ~ spl0_566 ),
    inference(avatar_split_clause,[],[f4461,f4356,f158,f5304]) ).

fof(f5304,plain,
    ( spl0_672
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f4461,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_29
    | ~ spl0_566 ),
    inference(superposition,[],[f159,f4358]) ).

fof(f5302,plain,
    ( spl0_671
    | ~ spl0_22
    | ~ spl0_566 ),
    inference(avatar_split_clause,[],[f4458,f4356,f130,f5299]) ).

fof(f4458,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_566 ),
    inference(superposition,[],[f131,f4358]) ).

fof(f5297,plain,
    ( spl0_670
    | ~ spl0_23
    | ~ spl0_566 ),
    inference(avatar_split_clause,[],[f4457,f4356,f134,f5294]) ).

fof(f5294,plain,
    ( spl0_670
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f4457,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_566 ),
    inference(superposition,[],[f135,f4358]) ).

fof(f5292,plain,
    ( spl0_669
    | ~ spl0_22
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f4448,f4351,f130,f5289]) ).

fof(f4448,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_565 ),
    inference(superposition,[],[f131,f4353]) ).

fof(f5287,plain,
    ( spl0_668
    | ~ spl0_23
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f4447,f4351,f134,f5284]) ).

fof(f5284,plain,
    ( spl0_668
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f4447,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_565 ),
    inference(superposition,[],[f135,f4353]) ).

fof(f5282,plain,
    ( spl0_667
    | ~ spl0_22
    | ~ spl0_564 ),
    inference(avatar_split_clause,[],[f4438,f4346,f130,f5279]) ).

fof(f4438,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_22
    | ~ spl0_564 ),
    inference(superposition,[],[f131,f4348]) ).

fof(f5271,plain,
    ( spl0_666
    | ~ spl0_23
    | ~ spl0_564 ),
    inference(avatar_split_clause,[],[f4437,f4346,f134,f5268]) ).

fof(f5268,plain,
    ( spl0_666
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f4437,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_23
    | ~ spl0_564 ),
    inference(superposition,[],[f135,f4348]) ).

fof(f5266,plain,
    ( spl0_665
    | ~ spl0_28
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f4430,f4341,f154,f5263]) ).

fof(f4430,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_28
    | ~ spl0_563 ),
    inference(superposition,[],[f155,f4343]) ).

fof(f5261,plain,
    ( spl0_664
    | ~ spl0_29
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f4429,f4341,f158,f5258]) ).

fof(f5258,plain,
    ( spl0_664
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f4429,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_29
    | ~ spl0_563 ),
    inference(superposition,[],[f159,f4343]) ).

fof(f5256,plain,
    ( spl0_663
    | ~ spl0_6
    | ~ spl0_555 ),
    inference(avatar_split_clause,[],[f4302,f4143,f66,f5253]) ).

fof(f5253,plain,
    ( spl0_663
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f4143,plain,
    ( spl0_555
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f4302,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_6
    | ~ spl0_555 ),
    inference(superposition,[],[f67,f4145]) ).

fof(f4145,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_555 ),
    inference(avatar_component_clause,[],[f4143]) ).

fof(f5251,plain,
    ( spl0_662
    | ~ spl0_7
    | ~ spl0_555 ),
    inference(avatar_split_clause,[],[f4301,f4143,f70,f5248]) ).

fof(f4301,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_7
    | ~ spl0_555 ),
    inference(superposition,[],[f71,f4145]) ).

fof(f5246,plain,
    ( spl0_661
    | ~ spl0_10
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f4288,f4133,f82,f5243]) ).

fof(f5243,plain,
    ( spl0_661
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f4133,plain,
    ( spl0_553
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f4288,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_10
    | ~ spl0_553 ),
    inference(superposition,[],[f83,f4135]) ).

fof(f4135,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_553 ),
    inference(avatar_component_clause,[],[f4133]) ).

fof(f5241,plain,
    ( spl0_660
    | ~ spl0_11
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f4287,f4133,f86,f5238]) ).

fof(f4287,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_11
    | ~ spl0_553 ),
    inference(superposition,[],[f87,f4135]) ).

fof(f5236,plain,
    ( spl0_659
    | ~ spl0_18
    | ~ spl0_550 ),
    inference(avatar_split_clause,[],[f4268,f4118,f114,f5233]) ).

fof(f5233,plain,
    ( spl0_659
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f4118,plain,
    ( spl0_550
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f4268,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_18
    | ~ spl0_550 ),
    inference(superposition,[],[f115,f4120]) ).

fof(f4120,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_550 ),
    inference(avatar_component_clause,[],[f4118]) ).

fof(f5231,plain,
    ( spl0_658
    | ~ spl0_19
    | ~ spl0_550 ),
    inference(avatar_split_clause,[],[f4267,f4118,f118,f5228]) ).

fof(f4267,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_19
    | ~ spl0_550 ),
    inference(superposition,[],[f119,f4120]) ).

fof(f5226,plain,
    ( spl0_657
    | ~ spl0_8
    | ~ spl0_550 ),
    inference(avatar_split_clause,[],[f4266,f4118,f74,f5223]) ).

fof(f5223,plain,
    ( spl0_657
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f4266,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_550 ),
    inference(superposition,[],[f75,f4120]) ).

fof(f5215,plain,
    ( spl0_656
    | ~ spl0_9
    | ~ spl0_550 ),
    inference(avatar_split_clause,[],[f4265,f4118,f78,f5212]) ).

fof(f4265,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_9
    | ~ spl0_550 ),
    inference(superposition,[],[f79,f4120]) ).

fof(f5210,plain,
    ( spl0_655
    | ~ spl0_18
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f4258,f4113,f114,f5207]) ).

fof(f5207,plain,
    ( spl0_655
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f4113,plain,
    ( spl0_549
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f4258,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_18
    | ~ spl0_549 ),
    inference(superposition,[],[f115,f4115]) ).

fof(f4115,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_549 ),
    inference(avatar_component_clause,[],[f4113]) ).

fof(f5205,plain,
    ( spl0_654
    | ~ spl0_19
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f4257,f4113,f118,f5202]) ).

fof(f4257,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_19
    | ~ spl0_549 ),
    inference(superposition,[],[f119,f4115]) ).

fof(f5200,plain,
    ( spl0_653
    | ~ spl0_10
    | ~ spl0_548 ),
    inference(avatar_split_clause,[],[f4248,f4106,f82,f5197]) ).

fof(f4106,plain,
    ( spl0_548
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f4248,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_10
    | ~ spl0_548 ),
    inference(superposition,[],[f83,f4108]) ).

fof(f4108,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o)))
    | ~ spl0_548 ),
    inference(avatar_component_clause,[],[f4106]) ).

fof(f5195,plain,
    ( spl0_652
    | ~ spl0_11
    | ~ spl0_548 ),
    inference(avatar_split_clause,[],[f4247,f4106,f86,f5192]) ).

fof(f5192,plain,
    ( spl0_652
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f4247,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_11
    | ~ spl0_548 ),
    inference(superposition,[],[f87,f4108]) ).

fof(f5190,plain,
    ( spl0_651
    | ~ spl0_8
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f4242,f4091,f74,f5187]) ).

fof(f5187,plain,
    ( spl0_651
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f4091,plain,
    ( spl0_547
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f4242,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_8
    | ~ spl0_547 ),
    inference(superposition,[],[f75,f4093]) ).

fof(f4093,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o)))
    | ~ spl0_547 ),
    inference(avatar_component_clause,[],[f4091]) ).

fof(f5185,plain,
    ( spl0_650
    | ~ spl0_9
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f4241,f4091,f78,f5182]) ).

fof(f4241,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_9
    | ~ spl0_547 ),
    inference(superposition,[],[f79,f4093]) ).

fof(f5180,plain,
    ( spl0_649
    | ~ spl0_16
    | ~ spl0_546 ),
    inference(avatar_split_clause,[],[f4234,f4076,f106,f5177]) ).

fof(f5177,plain,
    ( spl0_649
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f4076,plain,
    ( spl0_546
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f4234,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_16
    | ~ spl0_546 ),
    inference(superposition,[],[f107,f4078]) ).

fof(f4078,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_546 ),
    inference(avatar_component_clause,[],[f4076]) ).

fof(f5175,plain,
    ( spl0_648
    | ~ spl0_17
    | ~ spl0_546 ),
    inference(avatar_split_clause,[],[f4233,f4076,f110,f5172]) ).

fof(f4233,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_17
    | ~ spl0_546 ),
    inference(superposition,[],[f111,f4078]) ).

fof(f5170,plain,
    ( spl0_647
    | ~ spl0_3
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f4222,f4046,f54,f5167]) ).

fof(f4046,plain,
    ( spl0_544
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f4222,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_544 ),
    inference(superposition,[],[f55,f4048]) ).

fof(f4048,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_544 ),
    inference(avatar_component_clause,[],[f4046]) ).

fof(f5157,plain,
    ( spl0_646
    | ~ spl0_3
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f4221,f4046,f54,f5154]) ).

fof(f5154,plain,
    ( spl0_646
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f4221,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_544 ),
    inference(superposition,[],[f55,f4048]) ).

fof(f5152,plain,
    ( spl0_645
    | ~ spl0_10
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f4218,f4046,f82,f5149]) ).

fof(f4218,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_10
    | ~ spl0_544 ),
    inference(superposition,[],[f83,f4048]) ).

fof(f5147,plain,
    ( spl0_644
    | ~ spl0_11
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f4217,f4046,f86,f5144]) ).

fof(f5144,plain,
    ( spl0_644
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f4217,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_11
    | ~ spl0_544 ),
    inference(superposition,[],[f87,f4048]) ).

fof(f5142,plain,
    ( spl0_643
    | ~ spl0_12
    | ~ spl0_543 ),
    inference(avatar_split_clause,[],[f4212,f4031,f90,f5139]) ).

fof(f5139,plain,
    ( spl0_643
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f4031,plain,
    ( spl0_543
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f4212,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_12
    | ~ spl0_543 ),
    inference(superposition,[],[f91,f4033]) ).

fof(f4033,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_543 ),
    inference(avatar_component_clause,[],[f4031]) ).

fof(f5137,plain,
    ( spl0_642
    | ~ spl0_13
    | ~ spl0_543 ),
    inference(avatar_split_clause,[],[f4211,f4031,f94,f5134]) ).

fof(f4211,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_13
    | ~ spl0_543 ),
    inference(superposition,[],[f95,f4033]) ).

fof(f5132,plain,
    ( spl0_641
    | ~ spl0_3
    | ~ spl0_542 ),
    inference(avatar_split_clause,[],[f4206,f4016,f54,f5129]) ).

fof(f4016,plain,
    ( spl0_542
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f4206,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_542 ),
    inference(superposition,[],[f55,f4018]) ).

fof(f4018,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_542 ),
    inference(avatar_component_clause,[],[f4016]) ).

fof(f5127,plain,
    ( spl0_640
    | ~ spl0_3
    | ~ spl0_542 ),
    inference(avatar_split_clause,[],[f4205,f4016,f54,f5124]) ).

fof(f5124,plain,
    ( spl0_640
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f4205,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_542 ),
    inference(superposition,[],[f55,f4018]) ).

fof(f5122,plain,
    ( spl0_639
    | ~ spl0_12
    | ~ spl0_542 ),
    inference(avatar_split_clause,[],[f4202,f4016,f90,f5119]) ).

fof(f4202,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_12
    | ~ spl0_542 ),
    inference(superposition,[],[f91,f4018]) ).

fof(f5117,plain,
    ( spl0_638
    | ~ spl0_13
    | ~ spl0_542 ),
    inference(avatar_split_clause,[],[f4201,f4016,f94,f5114]) ).

fof(f5114,plain,
    ( spl0_638
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f4201,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_13
    | ~ spl0_542 ),
    inference(superposition,[],[f95,f4018]) ).

fof(f5112,plain,
    ( spl0_637
    | ~ spl0_10
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f4194,f3969,f82,f5109]) ).

fof(f3969,plain,
    ( spl0_533
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f4194,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_10
    | ~ spl0_533 ),
    inference(superposition,[],[f83,f3971]) ).

fof(f3971,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_533 ),
    inference(avatar_component_clause,[],[f3969]) ).

fof(f5107,plain,
    ( spl0_636
    | ~ spl0_2
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f4946,f4931,f50,f5104]) ).

fof(f5104,plain,
    ( spl0_636
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f4931,plain,
    ( spl0_607
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f4946,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o))
    | ~ spl0_2
    | ~ spl0_607 ),
    inference(superposition,[],[f4933,f51]) ).

fof(f4933,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)),true)
    | ~ spl0_607 ),
    inference(avatar_component_clause,[],[f4931]) ).

fof(f5102,plain,
    ( spl0_635
    | ~ spl0_11
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f4193,f3969,f86,f5099]) ).

fof(f5099,plain,
    ( spl0_635
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f4193,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_533 ),
    inference(superposition,[],[f87,f3971]) ).

fof(f5097,plain,
    ( spl0_634
    | ~ spl0_8
    | ~ spl0_522 ),
    inference(avatar_split_clause,[],[f4188,f3914,f74,f5094]) ).

fof(f5094,plain,
    ( spl0_634
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f3914,plain,
    ( spl0_522
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f4188,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_522 ),
    inference(superposition,[],[f75,f3916]) ).

fof(f3916,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o)))))
    | ~ spl0_522 ),
    inference(avatar_component_clause,[],[f3914]) ).

fof(f5092,plain,
    ( spl0_633
    | ~ spl0_9
    | ~ spl0_522 ),
    inference(avatar_split_clause,[],[f4187,f3914,f78,f5089]) ).

fof(f4187,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_9
    | ~ spl0_522 ),
    inference(superposition,[],[f79,f3916]) ).

fof(f5087,plain,
    ( spl0_632
    | ~ spl0_3
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f4176,f3804,f54,f5084]) ).

fof(f3804,plain,
    ( spl0_500
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f4176,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_500 ),
    inference(superposition,[],[f55,f3806]) ).

fof(f3806,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_500 ),
    inference(avatar_component_clause,[],[f3804]) ).

fof(f5082,plain,
    ( spl0_631
    | ~ spl0_3
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f4175,f3804,f54,f5079]) ).

fof(f5079,plain,
    ( spl0_631
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f4175,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_500 ),
    inference(superposition,[],[f55,f3806]) ).

fof(f5077,plain,
    ( spl0_630
    | ~ spl0_8
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f4174,f3804,f74,f5074]) ).

fof(f5074,plain,
    ( spl0_630
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f4174,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_500 ),
    inference(superposition,[],[f75,f3806]) ).

fof(f5072,plain,
    ( spl0_629
    | ~ spl0_9
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f4173,f3804,f78,f5069]) ).

fof(f4173,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_9
    | ~ spl0_500 ),
    inference(superposition,[],[f79,f3806]) ).

fof(f5067,plain,
    ( spl0_628
    | ~ spl0_3
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f4162,f3694,f54,f5064]) ).

fof(f3694,plain,
    ( spl0_478
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f4162,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_478 ),
    inference(superposition,[],[f55,f3696]) ).

fof(f3696,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_478 ),
    inference(avatar_component_clause,[],[f3694]) ).

fof(f5062,plain,
    ( spl0_627
    | ~ spl0_3
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f4161,f3694,f54,f5059]) ).

fof(f5059,plain,
    ( spl0_627
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f4161,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_478 ),
    inference(superposition,[],[f55,f3696]) ).

fof(f5057,plain,
    ( spl0_626
    | ~ spl0_14
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f4160,f3694,f98,f5054]) ).

fof(f5054,plain,
    ( spl0_626
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f4160,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_478 ),
    inference(superposition,[],[f99,f3696]) ).

fof(f5052,plain,
    ( spl0_625
    | ~ spl0_2
    | ~ spl0_605 ),
    inference(avatar_split_clause,[],[f4944,f4921,f50,f5049]) ).

fof(f5049,plain,
    ( spl0_625
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f4921,plain,
    ( spl0_605
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f4944,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_605 ),
    inference(superposition,[],[f4923,f51]) ).

fof(f4923,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_605 ),
    inference(avatar_component_clause,[],[f4921]) ).

fof(f5047,plain,
    ( spl0_624
    | ~ spl0_15
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f4159,f3694,f102,f5044]) ).

fof(f4159,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_15
    | ~ spl0_478 ),
    inference(superposition,[],[f103,f3696]) ).

fof(f5042,plain,
    ( spl0_623
    | ~ spl0_10
    | ~ spl0_471 ),
    inference(avatar_split_clause,[],[f4152,f3655,f82,f5039]) ).

fof(f5039,plain,
    ( spl0_623
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f3655,plain,
    ( spl0_471
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f4152,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_10
    | ~ spl0_471 ),
    inference(superposition,[],[f83,f3657]) ).

fof(f3657,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_471 ),
    inference(avatar_component_clause,[],[f3655]) ).

fof(f5037,plain,
    ( spl0_622
    | ~ spl0_11
    | ~ spl0_471 ),
    inference(avatar_split_clause,[],[f4151,f3655,f86,f5034]) ).

fof(f4151,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_11
    | ~ spl0_471 ),
    inference(superposition,[],[f87,f3657]) ).

fof(f5012,plain,
    ( spl0_621
    | ~ spl0_3
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f3643,f3470,f54,f5009]) ).

fof(f3470,plain,
    ( spl0_446
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f3643,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true)
    | ~ spl0_3
    | ~ spl0_446 ),
    inference(superposition,[],[f55,f3472]) ).

fof(f3472,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o))
    | ~ spl0_446 ),
    inference(avatar_component_clause,[],[f3470]) ).

fof(f5007,plain,
    ( spl0_620
    | ~ spl0_3
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f3642,f3470,f54,f5004]) ).

fof(f5004,plain,
    ( spl0_620
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f3642,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_446 ),
    inference(superposition,[],[f55,f3472]) ).

fof(f5002,plain,
    ( spl0_619
    | ~ spl0_4
    | ~ spl0_445 ),
    inference(avatar_split_clause,[],[f3623,f3455,f58,f4999]) ).

fof(f4999,plain,
    ( spl0_619
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f3455,plain,
    ( spl0_445
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f3623,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_4
    | ~ spl0_445 ),
    inference(superposition,[],[f59,f3457]) ).

fof(f3457,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_445 ),
    inference(avatar_component_clause,[],[f3455]) ).

fof(f4997,plain,
    ( spl0_618
    | ~ spl0_5
    | ~ spl0_445 ),
    inference(avatar_split_clause,[],[f3622,f3455,f62,f4994]) ).

fof(f3622,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_5
    | ~ spl0_445 ),
    inference(superposition,[],[f63,f3457]) ).

fof(f4992,plain,
    ( spl0_617
    | ~ spl0_3
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f3565,f3440,f54,f4989]) ).

fof(f3440,plain,
    ( spl0_444
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f3565,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_444 ),
    inference(superposition,[],[f55,f3442]) ).

fof(f3442,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_444 ),
    inference(avatar_component_clause,[],[f3440]) ).

fof(f4987,plain,
    ( spl0_616
    | ~ spl0_2
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f4937,f4906,f50,f4984]) ).

fof(f4984,plain,
    ( spl0_616
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f4906,plain,
    ( spl0_602
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f4937,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_602 ),
    inference(superposition,[],[f4908,f51]) ).

fof(f4908,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_602 ),
    inference(avatar_component_clause,[],[f4906]) ).

fof(f4982,plain,
    ( spl0_615
    | ~ spl0_3
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f3564,f3440,f54,f4979]) ).

fof(f4979,plain,
    ( spl0_615
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f3564,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_444 ),
    inference(superposition,[],[f55,f3442]) ).

fof(f4977,plain,
    ( spl0_614
    | ~ spl0_16
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f3563,f3440,f106,f4974]) ).

fof(f4974,plain,
    ( spl0_614
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f3563,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_16
    | ~ spl0_444 ),
    inference(superposition,[],[f107,f3442]) ).

fof(f4972,plain,
    ( spl0_613
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f3562,f3440,f110,f4969]) ).

fof(f3562,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(superposition,[],[f111,f3442]) ).

fof(f4967,plain,
    ( spl0_612
    | ~ spl0_3
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f3507,f3425,f54,f4964]) ).

fof(f3425,plain,
    ( spl0_443
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f3507,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_443 ),
    inference(superposition,[],[f55,f3427]) ).

fof(f3427,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_443 ),
    inference(avatar_component_clause,[],[f3425]) ).

fof(f4962,plain,
    ( spl0_611
    | ~ spl0_3
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f3506,f3425,f54,f4959]) ).

fof(f4959,plain,
    ( spl0_611
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f3506,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_443 ),
    inference(superposition,[],[f55,f3427]) ).

fof(f4957,plain,
    ( spl0_610
    | ~ spl0_18
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f3505,f3425,f114,f4954]) ).

fof(f4954,plain,
    ( spl0_610
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f3505,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_18
    | ~ spl0_443 ),
    inference(superposition,[],[f115,f3427]) ).

fof(f4952,plain,
    ( spl0_609
    | ~ spl0_19
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f3504,f3425,f118,f4949]) ).

fof(f3504,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_19
    | ~ spl0_443 ),
    inference(superposition,[],[f119,f3427]) ).

fof(f4943,plain,
    ( spl0_608
    | ~ spl0_2
    | ~ spl0_600 ),
    inference(avatar_split_clause,[],[f4935,f4896,f50,f4940]) ).

fof(f4940,plain,
    ( spl0_608
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f4896,plain,
    ( spl0_600
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f4935,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_600 ),
    inference(superposition,[],[f4898,f51]) ).

fof(f4898,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_600 ),
    inference(avatar_component_clause,[],[f4896]) ).

fof(f4934,plain,
    ( spl0_607
    | ~ spl0_20
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f3639,f3470,f122,f4931]) ).

fof(f122,plain,
    ( spl0_20
  <=> ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f3639,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)),true)
    | ~ spl0_20
    | ~ spl0_446 ),
    inference(superposition,[],[f123,f3472]) ).

fof(f123,plain,
    ( ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f4929,plain,
    ( spl0_606
    | ~ spl0_21
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f3638,f3470,f126,f4926]) ).

fof(f4926,plain,
    ( spl0_606
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f126,plain,
    ( spl0_21
  <=> ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3638,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),o)),true,true,true)
    | ~ spl0_21
    | ~ spl0_446 ),
    inference(superposition,[],[f127,f3472]) ).

fof(f127,plain,
    ( ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f4924,plain,
    ( spl0_605
    | ~ spl0_3
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3341,f3175,f54,f4921]) ).

fof(f3175,plain,
    ( spl0_399
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f3341,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_399 ),
    inference(superposition,[],[f55,f3177]) ).

fof(f3177,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_399 ),
    inference(avatar_component_clause,[],[f3175]) ).

fof(f4919,plain,
    ( spl0_604
    | ~ spl0_3
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3340,f3175,f54,f4916]) ).

fof(f4916,plain,
    ( spl0_604
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f3340,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_399 ),
    inference(superposition,[],[f55,f3177]) ).

fof(f4914,plain,
    ( spl0_603
    | ~ spl0_14
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3339,f3175,f98,f4911]) ).

fof(f4911,plain,
    ( spl0_603
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f3339,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_399 ),
    inference(superposition,[],[f99,f3177]) ).

fof(f4909,plain,
    ( spl0_602
    | ~ spl0_15
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3338,f3175,f102,f4906]) ).

fof(f3338,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_15
    | ~ spl0_399 ),
    inference(superposition,[],[f103,f3177]) ).

fof(f4904,plain,
    ( spl0_601
    | ~ spl0_8
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3337,f3175,f74,f4901]) ).

fof(f4901,plain,
    ( spl0_601
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f3337,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_399 ),
    inference(superposition,[],[f75,f3177]) ).

fof(f4899,plain,
    ( spl0_600
    | ~ spl0_9
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f3336,f3175,f78,f4896]) ).

fof(f3336,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_9
    | ~ spl0_399 ),
    inference(superposition,[],[f79,f3177]) ).

fof(f4634,plain,
    ( spl0_599
    | ~ spl0_2
    | ~ spl0_540 ),
    inference(avatar_split_clause,[],[f4110,f4004,f50,f4631]) ).

fof(f4004,plain,
    ( spl0_540
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f4110,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_540 ),
    inference(superposition,[],[f4006,f51]) ).

fof(f4006,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_540 ),
    inference(avatar_component_clause,[],[f4004]) ).

fof(f4629,plain,
    ( spl0_598
    | ~ spl0_2
    | ~ spl0_539 ),
    inference(avatar_split_clause,[],[f4103,f3999,f50,f4626]) ).

fof(f3999,plain,
    ( spl0_539
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f4103,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_539 ),
    inference(superposition,[],[f4001,f51]) ).

fof(f4001,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_539 ),
    inference(avatar_component_clause,[],[f3999]) ).

fof(f4624,plain,
    ( spl0_597
    | ~ spl0_2
    | ~ spl0_536 ),
    inference(avatar_split_clause,[],[f4101,f3984,f50,f4621]) ).

fof(f3984,plain,
    ( spl0_536
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f4101,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_536 ),
    inference(superposition,[],[f3986,f51]) ).

fof(f3986,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_536 ),
    inference(avatar_component_clause,[],[f3984]) ).

fof(f4619,plain,
    ( spl0_596
    | ~ spl0_2
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f4099,f3979,f50,f4616]) ).

fof(f4616,plain,
    ( spl0_596
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f3979,plain,
    ( spl0_535
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f4099,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_535 ),
    inference(superposition,[],[f3981,f51]) ).

fof(f3981,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_535 ),
    inference(avatar_component_clause,[],[f3979]) ).

fof(f4614,plain,
    ( spl0_595
    | ~ spl0_2
    | ~ spl0_531 ),
    inference(avatar_split_clause,[],[f4097,f3959,f50,f4611]) ).

fof(f3959,plain,
    ( spl0_531
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f4097,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_531 ),
    inference(superposition,[],[f3961,f51]) ).

fof(f3961,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_531 ),
    inference(avatar_component_clause,[],[f3959]) ).

fof(f4609,plain,
    ( spl0_594
    | ~ spl0_2
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f4095,f3949,f50,f4606]) ).

fof(f3949,plain,
    ( spl0_529
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f4095,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_529 ),
    inference(superposition,[],[f3951,f51]) ).

fof(f3951,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_529 ),
    inference(avatar_component_clause,[],[f3949]) ).

fof(f4604,plain,
    ( spl0_593
    | ~ spl0_2
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f4088,f3944,f50,f4601]) ).

fof(f3944,plain,
    ( spl0_528
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f4088,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_528 ),
    inference(superposition,[],[f3946,f51]) ).

fof(f3946,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_528 ),
    inference(avatar_component_clause,[],[f3944]) ).

fof(f4599,plain,
    ( spl0_592
    | ~ spl0_2
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f4086,f3934,f50,f4596]) ).

fof(f4596,plain,
    ( spl0_592
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f3934,plain,
    ( spl0_526
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f4086,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_526 ),
    inference(superposition,[],[f3936,f51]) ).

fof(f3936,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_526 ),
    inference(avatar_component_clause,[],[f3934]) ).

fof(f4594,plain,
    ( spl0_591
    | ~ spl0_2
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f4084,f3924,f50,f4591]) ).

fof(f3924,plain,
    ( spl0_524
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f4084,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_524 ),
    inference(superposition,[],[f3926,f51]) ).

fof(f3926,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_524 ),
    inference(avatar_component_clause,[],[f3924]) ).

fof(f4589,plain,
    ( spl0_590
    | ~ spl0_2
    | ~ spl0_521 ),
    inference(avatar_split_clause,[],[f4082,f3909,f50,f4586]) ).

fof(f3909,plain,
    ( spl0_521
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f4082,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_521 ),
    inference(superposition,[],[f3911,f51]) ).

fof(f3911,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_521 ),
    inference(avatar_component_clause,[],[f3909]) ).

fof(f4584,plain,
    ( spl0_589
    | ~ spl0_2
    | ~ spl0_519 ),
    inference(avatar_split_clause,[],[f4080,f3899,f50,f4581]) ).

fof(f3899,plain,
    ( spl0_519
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f4080,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_519 ),
    inference(superposition,[],[f3901,f51]) ).

fof(f3901,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_519 ),
    inference(avatar_component_clause,[],[f3899]) ).

fof(f4579,plain,
    ( spl0_588
    | ~ spl0_2
    | ~ spl0_517 ),
    inference(avatar_split_clause,[],[f4073,f3889,f50,f4576]) ).

fof(f3889,plain,
    ( spl0_517
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f4073,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_517 ),
    inference(superposition,[],[f3891,f51]) ).

fof(f3891,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_517 ),
    inference(avatar_component_clause,[],[f3889]) ).

fof(f4574,plain,
    ( spl0_587
    | ~ spl0_2
    | ~ spl0_514 ),
    inference(avatar_split_clause,[],[f4071,f3874,f50,f4571]) ).

fof(f3874,plain,
    ( spl0_514
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f4071,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_514 ),
    inference(superposition,[],[f3876,f51]) ).

fof(f3876,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_514 ),
    inference(avatar_component_clause,[],[f3874]) ).

fof(f4569,plain,
    ( spl0_586
    | ~ spl0_2
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f4069,f3869,f50,f4566]) ).

fof(f3869,plain,
    ( spl0_513
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f4069,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_513 ),
    inference(superposition,[],[f3871,f51]) ).

fof(f3871,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_513 ),
    inference(avatar_component_clause,[],[f3869]) ).

fof(f4564,plain,
    ( spl0_585
    | ~ spl0_2
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f4067,f3854,f50,f4561]) ).

fof(f4561,plain,
    ( spl0_585
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f3854,plain,
    ( spl0_510
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f4067,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_510 ),
    inference(superposition,[],[f3856,f51]) ).

fof(f3856,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_510 ),
    inference(avatar_component_clause,[],[f3854]) ).

fof(f4559,plain,
    ( spl0_584
    | ~ spl0_2
    | ~ spl0_508 ),
    inference(avatar_split_clause,[],[f4065,f3844,f50,f4556]) ).

fof(f3844,plain,
    ( spl0_508
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f4065,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_508 ),
    inference(superposition,[],[f3846,f51]) ).

fof(f3846,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_508 ),
    inference(avatar_component_clause,[],[f3844]) ).

fof(f4554,plain,
    ( spl0_583
    | ~ spl0_2
    | ~ spl0_506 ),
    inference(avatar_split_clause,[],[f4058,f3834,f50,f4551]) ).

fof(f4551,plain,
    ( spl0_583
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f3834,plain,
    ( spl0_506
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f4058,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_506 ),
    inference(superposition,[],[f3836,f51]) ).

fof(f3836,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_506 ),
    inference(avatar_component_clause,[],[f3834]) ).

fof(f4549,plain,
    ( spl0_582
    | ~ spl0_2
    | ~ spl0_504 ),
    inference(avatar_split_clause,[],[f4056,f3824,f50,f4546]) ).

fof(f3824,plain,
    ( spl0_504
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f4056,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_504 ),
    inference(superposition,[],[f3826,f51]) ).

fof(f3826,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_504 ),
    inference(avatar_component_clause,[],[f3824]) ).

fof(f4544,plain,
    ( spl0_581
    | ~ spl0_2
    | ~ spl0_502 ),
    inference(avatar_split_clause,[],[f4054,f3814,f50,f4541]) ).

fof(f3814,plain,
    ( spl0_502
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f4054,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_502 ),
    inference(superposition,[],[f3816,f51]) ).

fof(f3816,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_502 ),
    inference(avatar_component_clause,[],[f3814]) ).

fof(f4539,plain,
    ( spl0_580
    | ~ spl0_2
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f4052,f3799,f50,f4536]) ).

fof(f3799,plain,
    ( spl0_499
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f4052,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_499 ),
    inference(superposition,[],[f3801,f51]) ).

fof(f3801,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_499 ),
    inference(avatar_component_clause,[],[f3799]) ).

fof(f4534,plain,
    ( spl0_579
    | ~ spl0_2
    | ~ spl0_497 ),
    inference(avatar_split_clause,[],[f4050,f3789,f50,f4531]) ).

fof(f3789,plain,
    ( spl0_497
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f4050,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_497 ),
    inference(superposition,[],[f3791,f51]) ).

fof(f3791,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_497 ),
    inference(avatar_component_clause,[],[f3789]) ).

fof(f4529,plain,
    ( spl0_578
    | ~ spl0_2
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f4043,f3779,f50,f4526]) ).

fof(f3779,plain,
    ( spl0_495
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f4043,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_495 ),
    inference(superposition,[],[f3781,f51]) ).

fof(f3781,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_495 ),
    inference(avatar_component_clause,[],[f3779]) ).

fof(f4524,plain,
    ( spl0_577
    | ~ spl0_2
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f4041,f3769,f50,f4521]) ).

fof(f3769,plain,
    ( spl0_493
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f4041,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_493 ),
    inference(superposition,[],[f3771,f51]) ).

fof(f3771,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_493 ),
    inference(avatar_component_clause,[],[f3769]) ).

fof(f4519,plain,
    ( spl0_576
    | ~ spl0_2
    | ~ spl0_491 ),
    inference(avatar_split_clause,[],[f4039,f3759,f50,f4516]) ).

fof(f3759,plain,
    ( spl0_491
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f4039,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_491 ),
    inference(superposition,[],[f3761,f51]) ).

fof(f3761,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_491 ),
    inference(avatar_component_clause,[],[f3759]) ).

fof(f4514,plain,
    ( spl0_575
    | ~ spl0_2
    | ~ spl0_488 ),
    inference(avatar_split_clause,[],[f4037,f3744,f50,f4511]) ).

fof(f3744,plain,
    ( spl0_488
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f4037,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_488 ),
    inference(superposition,[],[f3746,f51]) ).

fof(f3746,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_488 ),
    inference(avatar_component_clause,[],[f3744]) ).

fof(f4509,plain,
    ( spl0_574
    | ~ spl0_2
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f4035,f3734,f50,f4506]) ).

fof(f3734,plain,
    ( spl0_486
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f4035,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_486 ),
    inference(superposition,[],[f3736,f51]) ).

fof(f3736,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_486 ),
    inference(avatar_component_clause,[],[f3734]) ).

fof(f4504,plain,
    ( spl0_573
    | ~ spl0_2
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f4028,f3724,f50,f4501]) ).

fof(f3724,plain,
    ( spl0_484
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f4028,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_484 ),
    inference(superposition,[],[f3726,f51]) ).

fof(f3726,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_484 ),
    inference(avatar_component_clause,[],[f3724]) ).

fof(f4499,plain,
    ( spl0_572
    | ~ spl0_2
    | ~ spl0_482 ),
    inference(avatar_split_clause,[],[f4026,f3714,f50,f4496]) ).

fof(f3714,plain,
    ( spl0_482
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f4026,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_482 ),
    inference(superposition,[],[f3716,f51]) ).

fof(f3716,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_482 ),
    inference(avatar_component_clause,[],[f3714]) ).

fof(f4494,plain,
    ( spl0_571
    | ~ spl0_2
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f4024,f3699,f50,f4491]) ).

fof(f3699,plain,
    ( spl0_479
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f4024,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_479 ),
    inference(superposition,[],[f3701,f51]) ).

fof(f3701,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_479 ),
    inference(avatar_component_clause,[],[f3699]) ).

fof(f4489,plain,
    ( spl0_570
    | ~ spl0_2
    | ~ spl0_476 ),
    inference(avatar_split_clause,[],[f4022,f3684,f50,f4486]) ).

fof(f3684,plain,
    ( spl0_476
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f4022,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_476 ),
    inference(superposition,[],[f3686,f51]) ).

fof(f3686,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_476 ),
    inference(avatar_component_clause,[],[f3684]) ).

fof(f4484,plain,
    ( spl0_569
    | ~ spl0_2
    | ~ spl0_474 ),
    inference(avatar_split_clause,[],[f4020,f3674,f50,f4481]) ).

fof(f3674,plain,
    ( spl0_474
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f4020,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_474 ),
    inference(superposition,[],[f3676,f51]) ).

fof(f3676,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_474 ),
    inference(avatar_component_clause,[],[f3674]) ).

fof(f4479,plain,
    ( spl0_568
    | ~ spl0_2
    | ~ spl0_472 ),
    inference(avatar_split_clause,[],[f4013,f3664,f50,f4476]) ).

fof(f3664,plain,
    ( spl0_472
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f4013,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_472 ),
    inference(superposition,[],[f3666,f51]) ).

fof(f3666,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_472 ),
    inference(avatar_component_clause,[],[f3664]) ).

fof(f4364,plain,
    ( spl0_567
    | ~ spl0_2
    | ~ spl0_470 ),
    inference(avatar_split_clause,[],[f3661,f3612,f50,f4361]) ).

fof(f3612,plain,
    ( spl0_470
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f3661,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_470 ),
    inference(superposition,[],[f3614,f51]) ).

fof(f3614,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_470 ),
    inference(avatar_component_clause,[],[f3612]) ).

fof(f4359,plain,
    ( spl0_566
    | ~ spl0_2
    | ~ spl0_468 ),
    inference(avatar_split_clause,[],[f3659,f3602,f50,f4356]) ).

fof(f3602,plain,
    ( spl0_468
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f3659,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_468 ),
    inference(superposition,[],[f3604,f51]) ).

fof(f3604,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_468 ),
    inference(avatar_component_clause,[],[f3602]) ).

fof(f4354,plain,
    ( spl0_565
    | ~ spl0_2
    | ~ spl0_466 ),
    inference(avatar_split_clause,[],[f3652,f3592,f50,f4351]) ).

fof(f3592,plain,
    ( spl0_466
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f3652,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_466 ),
    inference(superposition,[],[f3594,f51]) ).

fof(f3594,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_466 ),
    inference(avatar_component_clause,[],[f3592]) ).

fof(f4349,plain,
    ( spl0_564
    | ~ spl0_2
    | ~ spl0_464 ),
    inference(avatar_split_clause,[],[f3650,f3582,f50,f4346]) ).

fof(f3582,plain,
    ( spl0_464
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f3650,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_464 ),
    inference(superposition,[],[f3584,f51]) ).

fof(f3584,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_464 ),
    inference(avatar_component_clause,[],[f3582]) ).

fof(f4344,plain,
    ( spl0_563
    | ~ spl0_2
    | ~ spl0_462 ),
    inference(avatar_split_clause,[],[f3648,f3572,f50,f4341]) ).

fof(f3572,plain,
    ( spl0_462
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f3648,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_462 ),
    inference(superposition,[],[f3574,f51]) ).

fof(f3574,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_462 ),
    inference(avatar_component_clause,[],[f3572]) ).

fof(f4339,plain,
    ( spl0_562
    | ~ spl0_2
    | ~ spl0_460 ),
    inference(avatar_split_clause,[],[f3646,f3554,f50,f4336]) ).

fof(f3554,plain,
    ( spl0_460
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f3646,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_460 ),
    inference(superposition,[],[f3556,f51]) ).

fof(f3556,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_460 ),
    inference(avatar_component_clause,[],[f3554]) ).

fof(f4334,plain,
    ( spl0_561
    | ~ spl0_2
    | ~ spl0_457 ),
    inference(avatar_split_clause,[],[f3644,f3539,f50,f4331]) ).

fof(f3539,plain,
    ( spl0_457
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f3644,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_457 ),
    inference(superposition,[],[f3541,f51]) ).

fof(f3541,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_457 ),
    inference(avatar_component_clause,[],[f3539]) ).

fof(f4329,plain,
    ( spl0_560
    | ~ spl0_2
    | ~ spl0_456 ),
    inference(avatar_split_clause,[],[f3634,f3534,f50,f4326]) ).

fof(f3534,plain,
    ( spl0_456
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f3634,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_456 ),
    inference(superposition,[],[f3536,f51]) ).

fof(f3536,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_456 ),
    inference(avatar_component_clause,[],[f3534]) ).

fof(f4324,plain,
    ( spl0_559
    | ~ spl0_2
    | ~ spl0_453 ),
    inference(avatar_split_clause,[],[f3632,f3519,f50,f4321]) ).

fof(f3519,plain,
    ( spl0_453
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f3632,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_453 ),
    inference(superposition,[],[f3521,f51]) ).

fof(f3521,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_453 ),
    inference(avatar_component_clause,[],[f3519]) ).

fof(f4319,plain,
    ( spl0_558
    | ~ spl0_2
    | ~ spl0_452 ),
    inference(avatar_split_clause,[],[f3630,f3514,f50,f4316]) ).

fof(f3514,plain,
    ( spl0_452
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f3630,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_452 ),
    inference(superposition,[],[f3516,f51]) ).

fof(f3516,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_452 ),
    inference(avatar_component_clause,[],[f3514]) ).

fof(f4314,plain,
    ( spl0_557
    | ~ spl0_2
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f3628,f3491,f50,f4311]) ).

fof(f3491,plain,
    ( spl0_449
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f3628,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_449 ),
    inference(superposition,[],[f3493,f51]) ).

fof(f3493,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_449 ),
    inference(avatar_component_clause,[],[f3491]) ).

fof(f4309,plain,
    ( spl0_556
    | ~ spl0_2
    | ~ spl0_447 ),
    inference(avatar_split_clause,[],[f3626,f3481,f50,f4306]) ).

fof(f3481,plain,
    ( spl0_447
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f3626,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_447 ),
    inference(superposition,[],[f3483,f51]) ).

fof(f3483,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_447 ),
    inference(avatar_component_clause,[],[f3481]) ).

fof(f4146,plain,
    ( spl0_555
    | ~ spl0_2
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f3478,f3414,f50,f4143]) ).

fof(f3414,plain,
    ( spl0_442
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f3478,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_442 ),
    inference(superposition,[],[f3416,f51]) ).

fof(f3416,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_442 ),
    inference(avatar_component_clause,[],[f3414]) ).

fof(f4141,plain,
    ( spl0_554
    | ~ spl0_2
    | ~ spl0_440 ),
    inference(avatar_split_clause,[],[f3476,f3404,f50,f4138]) ).

fof(f4138,plain,
    ( spl0_554
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f3404,plain,
    ( spl0_440
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f3476,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_440 ),
    inference(superposition,[],[f3406,f51]) ).

fof(f3406,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_440 ),
    inference(avatar_component_clause,[],[f3404]) ).

fof(f4136,plain,
    ( spl0_553
    | ~ spl0_2
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f3474,f3388,f50,f4133]) ).

fof(f3388,plain,
    ( spl0_438
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f3474,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_438 ),
    inference(superposition,[],[f3390,f51]) ).

fof(f3390,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_438 ),
    inference(avatar_component_clause,[],[f3388]) ).

fof(f4131,plain,
    ( spl0_552
    | ~ spl0_2
    | ~ spl0_436 ),
    inference(avatar_split_clause,[],[f3467,f3378,f50,f4128]) ).

fof(f4128,plain,
    ( spl0_552
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f3378,plain,
    ( spl0_436
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f3467,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_436 ),
    inference(superposition,[],[f3380,f51]) ).

fof(f3380,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_436 ),
    inference(avatar_component_clause,[],[f3378]) ).

fof(f4126,plain,
    ( spl0_551
    | ~ spl0_2
    | ~ spl0_434 ),
    inference(avatar_split_clause,[],[f3465,f3368,f50,f4123]) ).

fof(f4123,plain,
    ( spl0_551
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f3368,plain,
    ( spl0_434
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f3465,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_434 ),
    inference(superposition,[],[f3370,f51]) ).

fof(f3370,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_434 ),
    inference(avatar_component_clause,[],[f3368]) ).

fof(f4121,plain,
    ( spl0_550
    | ~ spl0_2
    | ~ spl0_431 ),
    inference(avatar_split_clause,[],[f3463,f3353,f50,f4118]) ).

fof(f3353,plain,
    ( spl0_431
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f3463,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_431 ),
    inference(superposition,[],[f3355,f51]) ).

fof(f3355,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_431 ),
    inference(avatar_component_clause,[],[f3353]) ).

fof(f4116,plain,
    ( spl0_549
    | ~ spl0_2
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f3461,f3343,f50,f4113]) ).

fof(f3343,plain,
    ( spl0_429
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f3461,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_429 ),
    inference(superposition,[],[f3345,f51]) ).

fof(f3345,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_429 ),
    inference(avatar_component_clause,[],[f3343]) ).

fof(f4109,plain,
    ( spl0_548
    | ~ spl0_2
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f3459,f3323,f50,f4106]) ).

fof(f3323,plain,
    ( spl0_427
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f3459,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_427 ),
    inference(superposition,[],[f3325,f51]) ).

fof(f3325,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_427 ),
    inference(avatar_component_clause,[],[f3323]) ).

fof(f4094,plain,
    ( spl0_547
    | ~ spl0_2
    | ~ spl0_426 ),
    inference(avatar_split_clause,[],[f3452,f3318,f50,f4091]) ).

fof(f3318,plain,
    ( spl0_426
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f3452,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_426 ),
    inference(superposition,[],[f3320,f51]) ).

fof(f3320,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))),true)
    | ~ spl0_426 ),
    inference(avatar_component_clause,[],[f3318]) ).

fof(f4079,plain,
    ( spl0_546
    | ~ spl0_2
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f3450,f3303,f50,f4076]) ).

fof(f3303,plain,
    ( spl0_423
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f3450,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_423 ),
    inference(superposition,[],[f3305,f51]) ).

fof(f3305,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_423 ),
    inference(avatar_component_clause,[],[f3303]) ).

fof(f4064,plain,
    ( spl0_545
    | ~ spl0_2
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f3448,f3298,f50,f4061]) ).

fof(f4061,plain,
    ( spl0_545
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f3298,plain,
    ( spl0_422
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f3448,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_422 ),
    inference(superposition,[],[f3300,f51]) ).

fof(f3300,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_422 ),
    inference(avatar_component_clause,[],[f3298]) ).

fof(f4049,plain,
    ( spl0_544
    | ~ spl0_2
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f3446,f3283,f50,f4046]) ).

fof(f3283,plain,
    ( spl0_419
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f3446,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_419 ),
    inference(superposition,[],[f3285,f51]) ).

fof(f3285,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_419 ),
    inference(avatar_component_clause,[],[f3283]) ).

fof(f4034,plain,
    ( spl0_543
    | ~ spl0_2
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f3444,f3272,f50,f4031]) ).

fof(f3272,plain,
    ( spl0_418
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f3444,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_418 ),
    inference(superposition,[],[f3274,f51]) ).

fof(f3274,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_418 ),
    inference(avatar_component_clause,[],[f3272]) ).

fof(f4019,plain,
    ( spl0_542
    | ~ spl0_2
    | ~ spl0_415 ),
    inference(avatar_split_clause,[],[f3437,f3257,f50,f4016]) ).

fof(f3257,plain,
    ( spl0_415
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f3437,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_415 ),
    inference(superposition,[],[f3259,f51]) ).

fof(f3259,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_415 ),
    inference(avatar_component_clause,[],[f3257]) ).

fof(f4012,plain,
    ( spl0_541
    | ~ spl0_4
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f3084,f2901,f58,f4009]) ).

fof(f4009,plain,
    ( spl0_541
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f2901,plain,
    ( spl0_383
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f3084,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_4
    | ~ spl0_383 ),
    inference(superposition,[],[f59,f2903]) ).

fof(f2903,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_383 ),
    inference(avatar_component_clause,[],[f2901]) ).

fof(f4007,plain,
    ( spl0_540
    | ~ spl0_5
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f3083,f2901,f62,f4004]) ).

fof(f3083,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_5
    | ~ spl0_383 ),
    inference(superposition,[],[f63,f2903]) ).

fof(f4002,plain,
    ( spl0_539
    | ~ spl0_3
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f3078,f2896,f54,f3999]) ).

fof(f2896,plain,
    ( spl0_382
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f3078,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_382 ),
    inference(superposition,[],[f55,f2898]) ).

fof(f2898,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_382 ),
    inference(avatar_component_clause,[],[f2896]) ).

fof(f3997,plain,
    ( spl0_538
    | ~ spl0_3
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f3077,f2896,f54,f3994]) ).

fof(f3994,plain,
    ( spl0_538
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f3077,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_382 ),
    inference(superposition,[],[f55,f2898]) ).

fof(f3992,plain,
    ( spl0_537
    | ~ spl0_14
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f3076,f2896,f98,f3989]) ).

fof(f3989,plain,
    ( spl0_537
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f3076,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_382 ),
    inference(superposition,[],[f99,f2898]) ).

fof(f3987,plain,
    ( spl0_536
    | ~ spl0_15
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f3075,f2896,f102,f3984]) ).

fof(f3075,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(o))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_15
    | ~ spl0_382 ),
    inference(superposition,[],[f103,f2898]) ).

fof(f3982,plain,
    ( spl0_535
    | ~ spl0_3
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f3062,f2886,f54,f3979]) ).

fof(f2886,plain,
    ( spl0_380
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f3062,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_380 ),
    inference(superposition,[],[f55,f2888]) ).

fof(f2888,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_380 ),
    inference(avatar_component_clause,[],[f2886]) ).

fof(f3977,plain,
    ( spl0_534
    | ~ spl0_3
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f3061,f2886,f54,f3974]) ).

fof(f3974,plain,
    ( spl0_534
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f3061,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_380 ),
    inference(superposition,[],[f55,f2888]) ).

fof(f3972,plain,
    ( spl0_533
    | ~ spl0_2
    | ~ spl0_413 ),
    inference(avatar_split_clause,[],[f3435,f3247,f50,f3969]) ).

fof(f3247,plain,
    ( spl0_413
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f3435,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_413 ),
    inference(superposition,[],[f3249,f51]) ).

fof(f3249,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_413 ),
    inference(avatar_component_clause,[],[f3247]) ).

fof(f3967,plain,
    ( spl0_532
    | ~ spl0_8
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f3058,f2886,f74,f3964]) ).

fof(f3964,plain,
    ( spl0_532
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f3058,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_380 ),
    inference(superposition,[],[f75,f2888]) ).

fof(f3962,plain,
    ( spl0_531
    | ~ spl0_9
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f3057,f2886,f78,f3959]) ).

fof(f3057,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_9
    | ~ spl0_380 ),
    inference(superposition,[],[f79,f2888]) ).

fof(f3957,plain,
    ( spl0_530
    | ~ spl0_8
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f3050,f2881,f74,f3954]) ).

fof(f3954,plain,
    ( spl0_530
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f2881,plain,
    ( spl0_379
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f3050,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_379 ),
    inference(superposition,[],[f75,f2883]) ).

fof(f2883,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_379 ),
    inference(avatar_component_clause,[],[f2881]) ).

fof(f3952,plain,
    ( spl0_529
    | ~ spl0_9
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f3049,f2881,f78,f3949]) ).

fof(f3049,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_9
    | ~ spl0_379 ),
    inference(superposition,[],[f79,f2883]) ).

fof(f3947,plain,
    ( spl0_528
    | ~ spl0_3
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f3044,f2876,f54,f3944]) ).

fof(f2876,plain,
    ( spl0_378
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f3044,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_378 ),
    inference(superposition,[],[f55,f2878]) ).

fof(f2878,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_378 ),
    inference(avatar_component_clause,[],[f2876]) ).

fof(f3942,plain,
    ( spl0_527
    | ~ spl0_3
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f3043,f2876,f54,f3939]) ).

fof(f3939,plain,
    ( spl0_527
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f3043,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_378 ),
    inference(superposition,[],[f55,f2878]) ).

fof(f3937,plain,
    ( spl0_526
    | ~ spl0_3
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f3038,f2871,f54,f3934]) ).

fof(f2871,plain,
    ( spl0_377
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f3038,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_377 ),
    inference(superposition,[],[f55,f2873]) ).

fof(f2873,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_377 ),
    inference(avatar_component_clause,[],[f2871]) ).

fof(f3932,plain,
    ( spl0_525
    | ~ spl0_3
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f3037,f2871,f54,f3929]) ).

fof(f3929,plain,
    ( spl0_525
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f3037,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_377 ),
    inference(superposition,[],[f55,f2873]) ).

fof(f3927,plain,
    ( spl0_524
    | ~ spl0_16
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f3036,f2871,f106,f3924]) ).

fof(f3036,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_16
    | ~ spl0_377 ),
    inference(superposition,[],[f107,f2873]) ).

fof(f3922,plain,
    ( spl0_523
    | ~ spl0_17
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f3035,f2871,f110,f3919]) ).

fof(f3919,plain,
    ( spl0_523
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f3035,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_377 ),
    inference(superposition,[],[f111,f2873]) ).

fof(f3917,plain,
    ( spl0_522
    | ~ spl0_2
    | ~ spl0_412 ),
    inference(avatar_split_clause,[],[f3433,f3242,f50,f3914]) ).

fof(f3242,plain,
    ( spl0_412
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f3433,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_412 ),
    inference(superposition,[],[f3244,f51]) ).

fof(f3244,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))),true)
    | ~ spl0_412 ),
    inference(avatar_component_clause,[],[f3242]) ).

fof(f3912,plain,
    ( spl0_521
    | ~ spl0_8
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f3028,f2866,f74,f3909]) ).

fof(f2866,plain,
    ( spl0_376
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f3028,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_8
    | ~ spl0_376 ),
    inference(superposition,[],[f75,f2868]) ).

fof(f2868,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_376 ),
    inference(avatar_component_clause,[],[f2866]) ).

fof(f3907,plain,
    ( spl0_520
    | ~ spl0_9
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f3027,f2866,f78,f3904]) ).

fof(f3904,plain,
    ( spl0_520
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f3027,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_9
    | ~ spl0_376 ),
    inference(superposition,[],[f79,f2868]) ).

fof(f3902,plain,
    ( spl0_519
    | ~ spl0_3
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3022,f2861,f54,f3899]) ).

fof(f2861,plain,
    ( spl0_375
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f3022,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_375 ),
    inference(superposition,[],[f55,f2863]) ).

fof(f2863,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_375 ),
    inference(avatar_component_clause,[],[f2861]) ).

fof(f3897,plain,
    ( spl0_518
    | ~ spl0_3
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3021,f2861,f54,f3894]) ).

fof(f3894,plain,
    ( spl0_518
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f3021,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_375 ),
    inference(superposition,[],[f55,f2863]) ).

fof(f3892,plain,
    ( spl0_517
    | ~ spl0_12
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3018,f2861,f90,f3889]) ).

fof(f3018,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_12
    | ~ spl0_375 ),
    inference(superposition,[],[f91,f2863]) ).

fof(f3887,plain,
    ( spl0_516
    | ~ spl0_13
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3017,f2861,f94,f3884]) ).

fof(f3884,plain,
    ( spl0_516
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f3017,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_375 ),
    inference(superposition,[],[f95,f2863]) ).

fof(f3882,plain,
    ( spl0_515
    | ~ spl0_8
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3016,f2861,f74,f3879]) ).

fof(f3879,plain,
    ( spl0_515
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f3016,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_375 ),
    inference(superposition,[],[f75,f2863]) ).

fof(f3877,plain,
    ( spl0_514
    | ~ spl0_9
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f3015,f2861,f78,f3874]) ).

fof(f3015,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_9
    | ~ spl0_375 ),
    inference(superposition,[],[f79,f2863]) ).

fof(f3872,plain,
    ( spl0_513
    | ~ spl0_3
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f3004,f2851,f54,f3869]) ).

fof(f2851,plain,
    ( spl0_373
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f3004,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_373 ),
    inference(superposition,[],[f55,f2853]) ).

fof(f2853,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_373 ),
    inference(avatar_component_clause,[],[f2851]) ).

fof(f3867,plain,
    ( spl0_512
    | ~ spl0_3
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f3003,f2851,f54,f3864]) ).

fof(f3864,plain,
    ( spl0_512
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f3003,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_373 ),
    inference(superposition,[],[f55,f2853]) ).

fof(f3862,plain,
    ( spl0_511
    | ~ spl0_2
    | ~ spl0_410 ),
    inference(avatar_split_clause,[],[f3431,f3232,f50,f3859]) ).

fof(f3859,plain,
    ( spl0_511
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f3232,plain,
    ( spl0_410
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f3431,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_410 ),
    inference(superposition,[],[f3234,f51]) ).

fof(f3234,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_410 ),
    inference(avatar_component_clause,[],[f3232]) ).

fof(f3857,plain,
    ( spl0_510
    | ~ spl0_3
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f2998,f2846,f54,f3854]) ).

fof(f2846,plain,
    ( spl0_372
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f2998,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_372 ),
    inference(superposition,[],[f55,f2848]) ).

fof(f2848,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_372 ),
    inference(avatar_component_clause,[],[f2846]) ).

fof(f3852,plain,
    ( spl0_509
    | ~ spl0_3
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f2997,f2846,f54,f3849]) ).

fof(f3849,plain,
    ( spl0_509
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f2997,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_372 ),
    inference(superposition,[],[f55,f2848]) ).

fof(f3847,plain,
    ( spl0_508
    | ~ spl0_12
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f2996,f2846,f90,f3844]) ).

fof(f2996,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_12
    | ~ spl0_372 ),
    inference(superposition,[],[f91,f2848]) ).

fof(f3842,plain,
    ( spl0_507
    | ~ spl0_13
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f2995,f2846,f94,f3839]) ).

fof(f3839,plain,
    ( spl0_507
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f2995,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_13
    | ~ spl0_372 ),
    inference(superposition,[],[f95,f2848]) ).

fof(f3837,plain,
    ( spl0_506
    | ~ spl0_3
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f2990,f2841,f54,f3834]) ).

fof(f2841,plain,
    ( spl0_371
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f2990,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_371 ),
    inference(superposition,[],[f55,f2843]) ).

fof(f2843,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_371 ),
    inference(avatar_component_clause,[],[f2841]) ).

fof(f3832,plain,
    ( spl0_505
    | ~ spl0_3
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f2989,f2841,f54,f3829]) ).

fof(f3829,plain,
    ( spl0_505
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f2989,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_371 ),
    inference(superposition,[],[f55,f2843]) ).

fof(f3827,plain,
    ( spl0_504
    | ~ spl0_4
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f2986,f2841,f58,f3824]) ).

fof(f2986,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_4
    | ~ spl0_371 ),
    inference(superposition,[],[f59,f2843]) ).

fof(f3822,plain,
    ( spl0_503
    | ~ spl0_5
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f2985,f2841,f62,f3819]) ).

fof(f3819,plain,
    ( spl0_503
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f2985,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_5
    | ~ spl0_371 ),
    inference(superposition,[],[f63,f2843]) ).

fof(f3817,plain,
    ( spl0_502
    | ~ spl0_3
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2976,f2831,f54,f3814]) ).

fof(f2831,plain,
    ( spl0_369
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f2976,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_369 ),
    inference(superposition,[],[f55,f2833]) ).

fof(f2833,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_369 ),
    inference(avatar_component_clause,[],[f2831]) ).

fof(f3812,plain,
    ( spl0_501
    | ~ spl0_3
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2975,f2831,f54,f3809]) ).

fof(f3809,plain,
    ( spl0_501
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f2975,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_369 ),
    inference(superposition,[],[f55,f2833]) ).

fof(f3807,plain,
    ( spl0_500
    | ~ spl0_2
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f3429,f3217,f50,f3804]) ).

fof(f3217,plain,
    ( spl0_407
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f3429,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_407 ),
    inference(superposition,[],[f3219,f51]) ).

fof(f3219,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_407 ),
    inference(avatar_component_clause,[],[f3217]) ).

fof(f3802,plain,
    ( spl0_499
    | ~ spl0_12
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2974,f2831,f90,f3799]) ).

fof(f2974,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_12
    | ~ spl0_369 ),
    inference(superposition,[],[f91,f2833]) ).

fof(f3797,plain,
    ( spl0_498
    | ~ spl0_13
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2973,f2831,f94,f3794]) ).

fof(f3794,plain,
    ( spl0_498
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f2973,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_369 ),
    inference(superposition,[],[f95,f2833]) ).

fof(f3792,plain,
    ( spl0_497
    | ~ spl0_10
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2972,f2831,f82,f3789]) ).

fof(f2972,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_10
    | ~ spl0_369 ),
    inference(superposition,[],[f83,f2833]) ).

fof(f3787,plain,
    ( spl0_496
    | ~ spl0_11
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f2971,f2831,f86,f3784]) ).

fof(f3784,plain,
    ( spl0_496
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f2971,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(s(o)))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_369 ),
    inference(superposition,[],[f87,f2833]) ).

fof(f3782,plain,
    ( spl0_495
    | ~ spl0_6
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f2962,f2826,f66,f3779]) ).

fof(f2826,plain,
    ( spl0_368
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f2962,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_6
    | ~ spl0_368 ),
    inference(superposition,[],[f67,f2828]) ).

fof(f2828,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_368 ),
    inference(avatar_component_clause,[],[f2826]) ).

fof(f3777,plain,
    ( spl0_494
    | ~ spl0_7
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f2961,f2826,f70,f3774]) ).

fof(f3774,plain,
    ( spl0_494
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f2961,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_7
    | ~ spl0_368 ),
    inference(superposition,[],[f71,f2828]) ).

fof(f3772,plain,
    ( spl0_493
    | ~ spl0_4
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f2954,f2821,f58,f3769]) ).

fof(f2821,plain,
    ( spl0_367
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f2954,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_4
    | ~ spl0_367 ),
    inference(superposition,[],[f59,f2823]) ).

fof(f2823,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_367 ),
    inference(avatar_component_clause,[],[f2821]) ).

fof(f3767,plain,
    ( spl0_492
    | ~ spl0_5
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f2953,f2821,f62,f3764]) ).

fof(f3764,plain,
    ( spl0_492
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f2953,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_5
    | ~ spl0_367 ),
    inference(superposition,[],[f63,f2823]) ).

fof(f3762,plain,
    ( spl0_491
    | ~ spl0_12
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f2946,f2816,f90,f3759]) ).

fof(f2816,plain,
    ( spl0_366
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f2946,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_12
    | ~ spl0_366 ),
    inference(superposition,[],[f91,f2818]) ).

fof(f2818,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_366 ),
    inference(avatar_component_clause,[],[f2816]) ).

fof(f3757,plain,
    ( spl0_490
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f2945,f2816,f94,f3754]) ).

fof(f3754,plain,
    ( spl0_490
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f2945,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(superposition,[],[f95,f2818]) ).

fof(f3752,plain,
    ( spl0_489
    | ~ spl0_2
    | ~ spl0_405 ),
    inference(avatar_split_clause,[],[f3422,f3207,f50,f3749]) ).

fof(f3749,plain,
    ( spl0_489
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f3207,plain,
    ( spl0_405
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f3422,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_405 ),
    inference(superposition,[],[f3209,f51]) ).

fof(f3209,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_405 ),
    inference(avatar_component_clause,[],[f3207]) ).

fof(f3747,plain,
    ( spl0_488
    | ~ spl0_3
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2936,f2806,f54,f3744]) ).

fof(f2806,plain,
    ( spl0_364
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f2936,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_364 ),
    inference(superposition,[],[f55,f2808]) ).

fof(f2808,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_364 ),
    inference(avatar_component_clause,[],[f2806]) ).

fof(f3742,plain,
    ( spl0_487
    | ~ spl0_3
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2935,f2806,f54,f3739]) ).

fof(f3739,plain,
    ( spl0_487
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f2935,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_364 ),
    inference(superposition,[],[f55,f2808]) ).

fof(f3737,plain,
    ( spl0_486
    | ~ spl0_6
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2932,f2806,f66,f3734]) ).

fof(f2932,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_6
    | ~ spl0_364 ),
    inference(superposition,[],[f67,f2808]) ).

fof(f3732,plain,
    ( spl0_485
    | ~ spl0_7
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2931,f2806,f70,f3729]) ).

fof(f3729,plain,
    ( spl0_485
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f2931,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(s(o)))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_7
    | ~ spl0_364 ),
    inference(superposition,[],[f71,f2808]) ).

fof(f3727,plain,
    ( spl0_484
    | ~ spl0_16
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2926,f2801,f106,f3724]) ).

fof(f2801,plain,
    ( spl0_363
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f2926,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_16
    | ~ spl0_363 ),
    inference(superposition,[],[f107,f2803]) ).

fof(f2803,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_363 ),
    inference(avatar_component_clause,[],[f2801]) ).

fof(f3722,plain,
    ( spl0_483
    | ~ spl0_17
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2925,f2801,f110,f3719]) ).

fof(f3719,plain,
    ( spl0_483
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f2925,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_17
    | ~ spl0_363 ),
    inference(superposition,[],[f111,f2803]) ).

fof(f3717,plain,
    ( spl0_482
    | ~ spl0_3
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f2920,f2796,f54,f3714]) ).

fof(f2796,plain,
    ( spl0_362
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f2920,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_362 ),
    inference(superposition,[],[f55,f2798]) ).

fof(f2798,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_362 ),
    inference(avatar_component_clause,[],[f2796]) ).

fof(f3712,plain,
    ( spl0_481
    | ~ spl0_3
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f2919,f2796,f54,f3709]) ).

fof(f3709,plain,
    ( spl0_481
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f2919,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_362 ),
    inference(superposition,[],[f55,f2798]) ).

fof(f3707,plain,
    ( spl0_480
    | ~ spl0_16
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f2918,f2796,f106,f3704]) ).

fof(f3704,plain,
    ( spl0_480
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f2918,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_362 ),
    inference(superposition,[],[f107,f2798]) ).

fof(f3702,plain,
    ( spl0_479
    | ~ spl0_17
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f2917,f2796,f110,f3699]) ).

fof(f2917,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_362 ),
    inference(superposition,[],[f111,f2798]) ).

fof(f3697,plain,
    ( spl0_478
    | ~ spl0_2
    | ~ spl0_403 ),
    inference(avatar_split_clause,[],[f3420,f3197,f50,f3694]) ).

fof(f3197,plain,
    ( spl0_403
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f3420,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_403 ),
    inference(superposition,[],[f3199,f51]) ).

fof(f3199,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_403 ),
    inference(avatar_component_clause,[],[f3197]) ).

fof(f3692,plain,
    ( spl0_477
    | ~ spl0_10
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f2910,f2791,f82,f3689]) ).

fof(f3689,plain,
    ( spl0_477
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f2791,plain,
    ( spl0_361
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f2910,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_10
    | ~ spl0_361 ),
    inference(superposition,[],[f83,f2793]) ).

fof(f2793,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_361 ),
    inference(avatar_component_clause,[],[f2791]) ).

fof(f3687,plain,
    ( spl0_476
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f2909,f2791,f86,f3684]) ).

fof(f2909,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(superposition,[],[f87,f2793]) ).

fof(f3682,plain,
    ( spl0_475
    | ~ spl0_28
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f2741,f2671,f154,f3679]) ).

fof(f3679,plain,
    ( spl0_475
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f2671,plain,
    ( spl0_355
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f2741,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_28
    | ~ spl0_355 ),
    inference(superposition,[],[f155,f2673]) ).

fof(f2673,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_355 ),
    inference(avatar_component_clause,[],[f2671]) ).

fof(f3677,plain,
    ( spl0_474
    | ~ spl0_29
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f2740,f2671,f158,f3674]) ).

fof(f2740,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_29
    | ~ spl0_355 ),
    inference(superposition,[],[f159,f2673]) ).

fof(f3672,plain,
    ( spl0_473
    | ~ spl0_28
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f2723,f2661,f154,f3669]) ).

fof(f3669,plain,
    ( spl0_473
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f2661,plain,
    ( spl0_353
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f2723,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_28
    | ~ spl0_353 ),
    inference(superposition,[],[f155,f2663]) ).

fof(f2663,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_353 ),
    inference(avatar_component_clause,[],[f2661]) ).

fof(f3667,plain,
    ( spl0_472
    | ~ spl0_29
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f2722,f2661,f158,f3664]) ).

fof(f2722,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_29
    | ~ spl0_353 ),
    inference(superposition,[],[f159,f2663]) ).

fof(f3658,plain,
    ( spl0_471
    | ~ spl0_2
    | ~ spl0_400 ),
    inference(avatar_split_clause,[],[f3418,f3182,f50,f3655]) ).

fof(f3182,plain,
    ( spl0_400
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f3418,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_400 ),
    inference(superposition,[],[f3184,f51]) ).

fof(f3184,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_400 ),
    inference(avatar_component_clause,[],[f3182]) ).

fof(f3615,plain,
    ( spl0_470
    | ~ spl0_26
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f3026,f2866,f146,f3612]) ).

fof(f3026,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_376 ),
    inference(superposition,[],[f147,f2868]) ).

fof(f3610,plain,
    ( spl0_469
    | ~ spl0_27
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f3025,f2866,f150,f3607]) ).

fof(f3607,plain,
    ( spl0_469
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f3025,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_376 ),
    inference(superposition,[],[f151,f2868]) ).

fof(f3605,plain,
    ( spl0_468
    | ~ spl0_26
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f2980,f2836,f146,f3602]) ).

fof(f2836,plain,
    ( spl0_370
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f2980,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_370 ),
    inference(superposition,[],[f147,f2838]) ).

fof(f2838,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_370 ),
    inference(avatar_component_clause,[],[f2836]) ).

fof(f3600,plain,
    ( spl0_467
    | ~ spl0_27
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f2979,f2836,f150,f3597]) ).

fof(f3597,plain,
    ( spl0_467
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f2979,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_370 ),
    inference(superposition,[],[f151,f2838]) ).

fof(f3595,plain,
    ( spl0_466
    | ~ spl0_26
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f2940,f2811,f146,f3592]) ).

fof(f2811,plain,
    ( spl0_365
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f2940,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_365 ),
    inference(superposition,[],[f147,f2813]) ).

fof(f2813,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_365 ),
    inference(avatar_component_clause,[],[f2811]) ).

fof(f3590,plain,
    ( spl0_465
    | ~ spl0_27
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f2939,f2811,f150,f3587]) ).

fof(f3587,plain,
    ( spl0_465
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f2939,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_365 ),
    inference(superposition,[],[f151,f2813]) ).

fof(f3585,plain,
    ( spl0_464
    | ~ spl0_26
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2924,f2801,f146,f3582]) ).

fof(f2924,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_363 ),
    inference(superposition,[],[f147,f2803]) ).

fof(f3580,plain,
    ( spl0_463
    | ~ spl0_27
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2923,f2801,f150,f3577]) ).

fof(f3577,plain,
    ( spl0_463
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f2923,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_363 ),
    inference(superposition,[],[f151,f2803]) ).

fof(f3575,plain,
    ( spl0_462
    | ~ spl0_8
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f2767,f2686,f74,f3572]) ).

fof(f2686,plain,
    ( spl0_358
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f2767,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_8
    | ~ spl0_358 ),
    inference(superposition,[],[f75,f2688]) ).

fof(f2688,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f2686]) ).

fof(f3570,plain,
    ( spl0_461
    | ~ spl0_9
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f2766,f2686,f78,f3567]) ).

fof(f3567,plain,
    ( spl0_461
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f2766,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(s(o)))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_9
    | ~ spl0_358 ),
    inference(superposition,[],[f79,f2688]) ).

fof(f3557,plain,
    ( spl0_460
    | ~ spl0_10
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f2755,f2681,f82,f3554]) ).

fof(f2681,plain,
    ( spl0_357
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f2755,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_10
    | ~ spl0_357 ),
    inference(superposition,[],[f83,f2683]) ).

fof(f2683,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_357 ),
    inference(avatar_component_clause,[],[f2681]) ).

fof(f3552,plain,
    ( spl0_459
    | ~ spl0_11
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f2754,f2681,f86,f3549]) ).

fof(f3549,plain,
    ( spl0_459
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f2754,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_357 ),
    inference(superposition,[],[f87,f2683]) ).

fof(f3547,plain,
    ( spl0_458
    | ~ spl0_8
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f2749,f2676,f74,f3544]) ).

fof(f3544,plain,
    ( spl0_458
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f2676,plain,
    ( spl0_356
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f2749,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_356 ),
    inference(superposition,[],[f75,f2678]) ).

fof(f2678,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_356 ),
    inference(avatar_component_clause,[],[f2676]) ).

fof(f3542,plain,
    ( spl0_457
    | ~ spl0_9
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f2748,f2676,f78,f3539]) ).

fof(f2748,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_9
    | ~ spl0_356 ),
    inference(superposition,[],[f79,f2678]) ).

fof(f3537,plain,
    ( spl0_456
    | ~ spl0_3
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f2733,f2666,f54,f3534]) ).

fof(f2666,plain,
    ( spl0_354
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f2733,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_354 ),
    inference(superposition,[],[f55,f2668]) ).

fof(f2668,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_354 ),
    inference(avatar_component_clause,[],[f2666]) ).

fof(f3532,plain,
    ( spl0_455
    | ~ spl0_3
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f2732,f2666,f54,f3529]) ).

fof(f3529,plain,
    ( spl0_455
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f2732,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_354 ),
    inference(superposition,[],[f55,f2668]) ).

fof(f3527,plain,
    ( spl0_454
    | ~ spl0_8
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f2731,f2666,f74,f3524]) ).

fof(f3524,plain,
    ( spl0_454
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f2731,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_354 ),
    inference(superposition,[],[f75,f2668]) ).

fof(f3522,plain,
    ( spl0_453
    | ~ spl0_9
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f2730,f2666,f78,f3519]) ).

fof(f2730,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_9
    | ~ spl0_354 ),
    inference(superposition,[],[f79,f2668]) ).

fof(f3517,plain,
    ( spl0_452
    | ~ spl0_3
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f2715,f2656,f54,f3514]) ).

fof(f2656,plain,
    ( spl0_352
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f2715,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_352 ),
    inference(superposition,[],[f55,f2658]) ).

fof(f2658,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_352 ),
    inference(avatar_component_clause,[],[f2656]) ).

fof(f3512,plain,
    ( spl0_451
    | ~ spl0_3
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f2714,f2656,f54,f3509]) ).

fof(f3509,plain,
    ( spl0_451
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f2714,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_352 ),
    inference(superposition,[],[f55,f2658]) ).

fof(f3499,plain,
    ( spl0_450
    | ~ spl0_14
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f2713,f2656,f98,f3496]) ).

fof(f3496,plain,
    ( spl0_450
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f2713,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_352 ),
    inference(superposition,[],[f99,f2658]) ).

fof(f3494,plain,
    ( spl0_449
    | ~ spl0_15
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f2712,f2656,f102,f3491]) ).

fof(f2712,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_15
    | ~ spl0_352 ),
    inference(superposition,[],[f103,f2658]) ).

fof(f3489,plain,
    ( spl0_448
    | ~ spl0_10
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f2705,f2651,f82,f3486]) ).

fof(f3486,plain,
    ( spl0_448
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f2651,plain,
    ( spl0_351
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f2705,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_10
    | ~ spl0_351 ),
    inference(superposition,[],[f83,f2653]) ).

fof(f2653,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_351 ),
    inference(avatar_component_clause,[],[f2651]) ).

fof(f3484,plain,
    ( spl0_447
    | ~ spl0_11
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f2704,f2651,f86,f3481]) ).

fof(f2704,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_11
    | ~ spl0_351 ),
    inference(superposition,[],[f87,f2653]) ).

fof(f3473,plain,
    ( spl0_446
    | ~ spl0_2
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f3179,f3164,f50,f3470]) ).

fof(f3164,plain,
    ( spl0_398
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f3179,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o))
    | ~ spl0_2
    | ~ spl0_398 ),
    inference(superposition,[],[f3166,f51]) ).

fof(f3166,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true)
    | ~ spl0_398 ),
    inference(avatar_component_clause,[],[f3164]) ).

fof(f3458,plain,
    ( spl0_445
    | ~ spl0_2
    | ~ spl0_396 ),
    inference(avatar_split_clause,[],[f3172,f3154,f50,f3455]) ).

fof(f3154,plain,
    ( spl0_396
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f3172,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_396 ),
    inference(superposition,[],[f3156,f51]) ).

fof(f3156,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_396 ),
    inference(avatar_component_clause,[],[f3154]) ).

fof(f3443,plain,
    ( spl0_444
    | ~ spl0_2
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f3170,f3134,f50,f3440]) ).

fof(f3134,plain,
    ( spl0_392
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f3170,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_392 ),
    inference(superposition,[],[f3136,f51]) ).

fof(f3136,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_392 ),
    inference(avatar_component_clause,[],[f3134]) ).

fof(f3428,plain,
    ( spl0_443
    | ~ spl0_2
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f3168,f3124,f50,f3425]) ).

fof(f3124,plain,
    ( spl0_390
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f3168,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_390 ),
    inference(superposition,[],[f3126,f51]) ).

fof(f3126,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_390 ),
    inference(avatar_component_clause,[],[f3124]) ).

fof(f3417,plain,
    ( spl0_442
    | ~ spl0_28
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2787,f2696,f154,f3414]) ).

fof(f2696,plain,
    ( spl0_360
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f2787,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_28
    | ~ spl0_360 ),
    inference(superposition,[],[f155,f2698]) ).

fof(f2698,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_360 ),
    inference(avatar_component_clause,[],[f2696]) ).

fof(f3412,plain,
    ( spl0_441
    | ~ spl0_29
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2786,f2696,f158,f3409]) ).

fof(f3409,plain,
    ( spl0_441
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f2786,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_29
    | ~ spl0_360 ),
    inference(superposition,[],[f159,f2698]) ).

fof(f3407,plain,
    ( spl0_440
    | ~ spl0_22
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2783,f2696,f130,f3404]) ).

fof(f2783,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_360 ),
    inference(superposition,[],[f131,f2698]) ).

fof(f3402,plain,
    ( spl0_439
    | ~ spl0_23
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2782,f2696,f134,f3399]) ).

fof(f3399,plain,
    ( spl0_439
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f2782,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_360 ),
    inference(superposition,[],[f135,f2698]) ).

fof(f3391,plain,
    ( spl0_438
    | ~ spl0_28
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f2777,f2691,f154,f3388]) ).

fof(f2691,plain,
    ( spl0_359
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f2777,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_28
    | ~ spl0_359 ),
    inference(superposition,[],[f155,f2693]) ).

fof(f2693,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f2691]) ).

fof(f3386,plain,
    ( spl0_437
    | ~ spl0_29
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f2776,f2691,f158,f3383]) ).

fof(f3383,plain,
    ( spl0_437
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f2776,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_29
    | ~ spl0_359 ),
    inference(superposition,[],[f159,f2693]) ).

fof(f3381,plain,
    ( spl0_436
    | ~ spl0_22
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f2773,f2691,f130,f3378]) ).

fof(f2773,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_359 ),
    inference(superposition,[],[f131,f2693]) ).

fof(f3376,plain,
    ( spl0_435
    | ~ spl0_23
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f2772,f2691,f134,f3373]) ).

fof(f3373,plain,
    ( spl0_435
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f2772,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_359 ),
    inference(superposition,[],[f135,f2693]) ).

fof(f3371,plain,
    ( spl0_434
    | ~ spl0_22
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f2763,f2686,f130,f3368]) ).

fof(f2763,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_358 ),
    inference(superposition,[],[f131,f2688]) ).

fof(f3366,plain,
    ( spl0_433
    | ~ spl0_23
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f2762,f2686,f134,f3363]) ).

fof(f3363,plain,
    ( spl0_433
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f2762,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_358 ),
    inference(superposition,[],[f135,f2688]) ).

fof(f3361,plain,
    ( spl0_432
    | ~ spl0_6
    | ~ spl0_350 ),
    inference(avatar_split_clause,[],[f2647,f2538,f66,f3358]) ).

fof(f3358,plain,
    ( spl0_432
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f2538,plain,
    ( spl0_350
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f2647,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_6
    | ~ spl0_350 ),
    inference(superposition,[],[f67,f2540]) ).

fof(f2540,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_350 ),
    inference(avatar_component_clause,[],[f2538]) ).

fof(f3356,plain,
    ( spl0_431
    | ~ spl0_7
    | ~ spl0_350 ),
    inference(avatar_split_clause,[],[f2646,f2538,f70,f3353]) ).

fof(f2646,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_7
    | ~ spl0_350 ),
    inference(superposition,[],[f71,f2540]) ).

fof(f3351,plain,
    ( spl0_430
    | ~ spl0_8
    | ~ spl0_345 ),
    inference(avatar_split_clause,[],[f2613,f2513,f74,f3348]) ).

fof(f3348,plain,
    ( spl0_430
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f2513,plain,
    ( spl0_345
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f2613,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_8
    | ~ spl0_345 ),
    inference(superposition,[],[f75,f2515]) ).

fof(f2515,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_345 ),
    inference(avatar_component_clause,[],[f2513]) ).

fof(f3346,plain,
    ( spl0_429
    | ~ spl0_9
    | ~ spl0_345 ),
    inference(avatar_split_clause,[],[f2612,f2513,f78,f3343]) ).

fof(f2612,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_9
    | ~ spl0_345 ),
    inference(superposition,[],[f79,f2515]) ).

fof(f3331,plain,
    ( spl0_428
    | ~ spl0_16
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f2605,f2502,f106,f3328]) ).

fof(f3328,plain,
    ( spl0_428
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f2502,plain,
    ( spl0_344
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f2605,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_16
    | ~ spl0_344 ),
    inference(superposition,[],[f107,f2504]) ).

fof(f2504,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o)))
    | ~ spl0_344 ),
    inference(avatar_component_clause,[],[f2502]) ).

fof(f3326,plain,
    ( spl0_427
    | ~ spl0_17
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f2604,f2502,f110,f3323]) ).

fof(f2604,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true)
    | ~ spl0_17
    | ~ spl0_344 ),
    inference(superposition,[],[f111,f2504]) ).

fof(f3321,plain,
    ( spl0_426
    | ~ spl0_6
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f2601,f2502,f66,f3318]) ).

fof(f2601,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))),true)
    | ~ spl0_6
    | ~ spl0_344 ),
    inference(superposition,[],[f67,f2504]) ).

fof(f3316,plain,
    ( spl0_425
    | ~ spl0_7
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f2600,f2502,f70,f3313]) ).

fof(f3313,plain,
    ( spl0_425
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f2600,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_7
    | ~ spl0_344 ),
    inference(superposition,[],[f71,f2504]) ).

fof(f3311,plain,
    ( spl0_424
    | ~ spl0_12
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f2595,f2487,f90,f3308]) ).

fof(f3308,plain,
    ( spl0_424
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f2487,plain,
    ( spl0_343
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f2595,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_12
    | ~ spl0_343 ),
    inference(superposition,[],[f91,f2489]) ).

fof(f2489,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f2487]) ).

fof(f3306,plain,
    ( spl0_423
    | ~ spl0_13
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f2594,f2487,f94,f3303]) ).

fof(f2594,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_13
    | ~ spl0_343 ),
    inference(superposition,[],[f95,f2489]) ).

fof(f3301,plain,
    ( spl0_422
    | ~ spl0_3
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f2589,f2470,f54,f3298]) ).

fof(f2470,plain,
    ( spl0_342
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f2589,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_342 ),
    inference(superposition,[],[f55,f2472]) ).

fof(f2472,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_342 ),
    inference(avatar_component_clause,[],[f2470]) ).

fof(f3296,plain,
    ( spl0_421
    | ~ spl0_3
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f2588,f2470,f54,f3293]) ).

fof(f3293,plain,
    ( spl0_421
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f2588,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_342 ),
    inference(superposition,[],[f55,f2472]) ).

fof(f3291,plain,
    ( spl0_420
    | ~ spl0_16
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f2587,f2470,f106,f3288]) ).

fof(f3288,plain,
    ( spl0_420
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f2587,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_16
    | ~ spl0_342 ),
    inference(superposition,[],[f107,f2472]) ).

fof(f3286,plain,
    ( spl0_419
    | ~ spl0_17
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f2586,f2470,f110,f3283]) ).

fof(f2586,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_17
    | ~ spl0_342 ),
    inference(superposition,[],[f111,f2472]) ).

fof(f3275,plain,
    ( spl0_418
    | ~ spl0_3
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f2581,f2455,f54,f3272]) ).

fof(f2455,plain,
    ( spl0_341
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f2581,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_341 ),
    inference(superposition,[],[f55,f2457]) ).

fof(f2457,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_341 ),
    inference(avatar_component_clause,[],[f2455]) ).

fof(f3270,plain,
    ( spl0_417
    | ~ spl0_3
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f2580,f2455,f54,f3267]) ).

fof(f3267,plain,
    ( spl0_417
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f2580,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_341 ),
    inference(superposition,[],[f55,f2457]) ).

fof(f3265,plain,
    ( spl0_416
    | ~ spl0_18
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f2579,f2455,f114,f3262]) ).

fof(f3262,plain,
    ( spl0_416
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f2579,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_18
    | ~ spl0_341 ),
    inference(superposition,[],[f115,f2457]) ).

fof(f3260,plain,
    ( spl0_415
    | ~ spl0_19
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f2578,f2455,f118,f3257]) ).

fof(f2578,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_19
    | ~ spl0_341 ),
    inference(superposition,[],[f119,f2457]) ).

fof(f3255,plain,
    ( spl0_414
    | ~ spl0_16
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f2571,f2437,f106,f3252]) ).

fof(f3252,plain,
    ( spl0_414
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f2437,plain,
    ( spl0_339
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f2571,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_339 ),
    inference(superposition,[],[f107,f2439]) ).

fof(f2439,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o)))))
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f2437]) ).

fof(f3250,plain,
    ( spl0_413
    | ~ spl0_17
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f2570,f2437,f110,f3247]) ).

fof(f2570,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_339 ),
    inference(superposition,[],[f111,f2439]) ).

fof(f3245,plain,
    ( spl0_412
    | ~ spl0_6
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f2567,f2437,f66,f3242]) ).

fof(f2567,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))),true)
    | ~ spl0_6
    | ~ spl0_339 ),
    inference(superposition,[],[f67,f2439]) ).

fof(f3240,plain,
    ( spl0_411
    | ~ spl0_7
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f2566,f2437,f70,f3237]) ).

fof(f3237,plain,
    ( spl0_411
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f2566,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_7
    | ~ spl0_339 ),
    inference(superposition,[],[f71,f2439]) ).

fof(f3235,plain,
    ( spl0_410
    | ~ spl0_3
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f2557,f2327,f54,f3232]) ).

fof(f2327,plain,
    ( spl0_317
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f2557,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_317 ),
    inference(superposition,[],[f55,f2329]) ).

fof(f2329,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o))
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f2327]) ).

fof(f3230,plain,
    ( spl0_409
    | ~ spl0_3
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f2556,f2327,f54,f3227]) ).

fof(f3227,plain,
    ( spl0_409
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f2556,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_317 ),
    inference(superposition,[],[f55,f2329]) ).

fof(f3225,plain,
    ( spl0_408
    | ~ spl0_2
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f3121,f3113,f50,f3222]) ).

fof(f3222,plain,
    ( spl0_408
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f3113,plain,
    ( spl0_389
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f3121,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_389 ),
    inference(superposition,[],[f3115,f51]) ).

fof(f3115,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))),true)
    | ~ spl0_389 ),
    inference(avatar_component_clause,[],[f3113]) ).

fof(f3220,plain,
    ( spl0_407
    | ~ spl0_6
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f2553,f2327,f66,f3217]) ).

fof(f2553,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_6
    | ~ spl0_317 ),
    inference(superposition,[],[f67,f2329]) ).

fof(f3215,plain,
    ( spl0_406
    | ~ spl0_7
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f2552,f2327,f70,f3212]) ).

fof(f3212,plain,
    ( spl0_406
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f2552,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_7
    | ~ spl0_317 ),
    inference(superposition,[],[f71,f2329]) ).

fof(f3210,plain,
    ( spl0_405
    | ~ spl0_3
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2549,f2272,f54,f3207]) ).

fof(f2272,plain,
    ( spl0_306
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f2549,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_306 ),
    inference(superposition,[],[f55,f2274]) ).

fof(f2274,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o))
    | ~ spl0_306 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f3205,plain,
    ( spl0_404
    | ~ spl0_3
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2548,f2272,f54,f3202]) ).

fof(f3202,plain,
    ( spl0_404
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f2548,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_306 ),
    inference(superposition,[],[f55,f2274]) ).

fof(f3200,plain,
    ( spl0_403
    | ~ spl0_4
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2545,f2272,f58,f3197]) ).

fof(f2545,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_4
    | ~ spl0_306 ),
    inference(superposition,[],[f59,f2274]) ).

fof(f3195,plain,
    ( spl0_402
    | ~ spl0_5
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2544,f2272,f62,f3192]) ).

fof(f3192,plain,
    ( spl0_402
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f2544,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_5
    | ~ spl0_306 ),
    inference(superposition,[],[f63,f2274]) ).

fof(f3190,plain,
    ( spl0_401
    | ~ spl0_28
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f2159,f2012,f154,f3187]) ).

fof(f3187,plain,
    ( spl0_401
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f2012,plain,
    ( spl0_268
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f2159,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_28
    | ~ spl0_268 ),
    inference(superposition,[],[f155,f2014]) ).

fof(f2014,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o)))))
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f2012]) ).

fof(f3185,plain,
    ( spl0_400
    | ~ spl0_29
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f2158,f2012,f158,f3182]) ).

fof(f2158,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(o,s(s(s(o))))),true)
    | ~ spl0_29
    | ~ spl0_268 ),
    inference(superposition,[],[f159,f2014]) ).

fof(f3178,plain,
    ( spl0_399
    | ~ spl0_2
    | ~ spl0_386 ),
    inference(avatar_split_clause,[],[f3119,f3098,f50,f3175]) ).

fof(f3098,plain,
    ( spl0_386
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f3119,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_386 ),
    inference(superposition,[],[f3100,f51]) ).

fof(f3100,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_386 ),
    inference(avatar_component_clause,[],[f3098]) ).

fof(f3167,plain,
    ( spl0_398
    | ~ spl0_34
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f2631,f2528,f178,f3164]) ).

fof(f178,plain,
    ( spl0_34
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2528,plain,
    ( spl0_348
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f2631,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true)
    | ~ spl0_34
    | ~ spl0_348 ),
    inference(superposition,[],[f179,f2530]) ).

fof(f2530,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_348 ),
    inference(avatar_component_clause,[],[f2528]) ).

fof(f179,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f3162,plain,
    ( spl0_397
    | ~ spl0_35
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f2630,f2528,f182,f3159]) ).

fof(f3159,plain,
    ( spl0_397
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f182,plain,
    ( spl0_35
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2630,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true,true,true)
    | ~ spl0_35
    | ~ spl0_348 ),
    inference(superposition,[],[f183,f2530]) ).

fof(f183,plain,
    ( ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f3157,plain,
    ( spl0_396
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2181,f2027,f54,f3154]) ).

fof(f2027,plain,
    ( spl0_269
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f2181,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(superposition,[],[f55,f2029]) ).

fof(f2029,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f2027]) ).

fof(f3152,plain,
    ( spl0_395
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2180,f2027,f54,f3149]) ).

fof(f3149,plain,
    ( spl0_395
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f2180,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(superposition,[],[f55,f2029]) ).

fof(f3147,plain,
    ( spl0_394
    | ~ spl0_2
    | ~ spl0_385 ),
    inference(avatar_split_clause,[],[f3117,f3093,f50,f3144]) ).

fof(f3144,plain,
    ( spl0_394
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f3093,plain,
    ( spl0_385
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f3117,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_385 ),
    inference(superposition,[],[f3095,f51]) ).

fof(f3095,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))),true)
    | ~ spl0_385 ),
    inference(avatar_component_clause,[],[f3093]) ).

fof(f3142,plain,
    ( spl0_393
    | ~ spl0_14
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2179,f2027,f98,f3139]) ).

fof(f3139,plain,
    ( spl0_393
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f2179,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_269 ),
    inference(superposition,[],[f99,f2029]) ).

fof(f3137,plain,
    ( spl0_392
    | ~ spl0_15
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2178,f2027,f102,f3134]) ).

fof(f2178,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_15
    | ~ spl0_269 ),
    inference(superposition,[],[f103,f2029]) ).

fof(f3132,plain,
    ( spl0_391
    | ~ spl0_8
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2177,f2027,f74,f3129]) ).

fof(f3129,plain,
    ( spl0_391
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f2177,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_269 ),
    inference(superposition,[],[f75,f2029]) ).

fof(f3127,plain,
    ( spl0_390
    | ~ spl0_9
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2176,f2027,f78,f3124]) ).

fof(f2176,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_9
    | ~ spl0_269 ),
    inference(superposition,[],[f79,f2029]) ).

fof(f3116,plain,
    ( spl0_389
    | ~ spl0_3
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f1958,f1841,f54,f3113]) ).

fof(f1841,plain,
    ( spl0_239
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f1958,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))),true)
    | ~ spl0_3
    | ~ spl0_239 ),
    inference(superposition,[],[f55,f1843]) ).

fof(f1843,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o))
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f1841]) ).

fof(f3111,plain,
    ( spl0_388
    | ~ spl0_3
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f1957,f1841,f54,f3108]) ).

fof(f3108,plain,
    ( spl0_388
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f1957,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_239 ),
    inference(superposition,[],[f55,f1843]) ).

fof(f3106,plain,
    ( spl0_387
    | ~ spl0_6
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f1956,f1841,f66,f3103]) ).

fof(f3103,plain,
    ( spl0_387
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f1956,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_6
    | ~ spl0_239 ),
    inference(superposition,[],[f67,f1843]) ).

fof(f3101,plain,
    ( spl0_386
    | ~ spl0_7
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f1955,f1841,f70,f3098]) ).

fof(f1955,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),true)
    | ~ spl0_7
    | ~ spl0_239 ),
    inference(superposition,[],[f71,f1843]) ).

fof(f3096,plain,
    ( spl0_385
    | ~ spl0_3
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f1900,f1818,f54,f3093]) ).

fof(f1818,plain,
    ( spl0_236
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f1900,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_236 ),
    inference(superposition,[],[f55,f1820]) ).

fof(f1820,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o))
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f1818]) ).

fof(f3091,plain,
    ( spl0_384
    | ~ spl0_3
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f1899,f1818,f54,f3088]) ).

fof(f3088,plain,
    ( spl0_384
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f1899,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_236 ),
    inference(superposition,[],[f55,f1820]) ).

fof(f2904,plain,
    ( spl0_383
    | ~ spl0_2
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f2510,f2442,f50,f2901]) ).

fof(f2442,plain,
    ( spl0_340
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f2510,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_340 ),
    inference(superposition,[],[f2444,f51]) ).

fof(f2444,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f2899,plain,
    ( spl0_382
    | ~ spl0_2
    | ~ spl0_336 ),
    inference(avatar_split_clause,[],[f2508,f2422,f50,f2896]) ).

fof(f2422,plain,
    ( spl0_336
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f2508,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_336 ),
    inference(superposition,[],[f2424,f51]) ).

fof(f2424,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_336 ),
    inference(avatar_component_clause,[],[f2422]) ).

fof(f2894,plain,
    ( spl0_381
    | ~ spl0_2
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f2506,f2417,f50,f2891]) ).

fof(f2891,plain,
    ( spl0_381
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f2417,plain,
    ( spl0_335
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f2506,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_335 ),
    inference(superposition,[],[f2419,f51]) ).

fof(f2419,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f2417]) ).

fof(f2889,plain,
    ( spl0_380
    | ~ spl0_2
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f2499,f2402,f50,f2886]) ).

fof(f2402,plain,
    ( spl0_332
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f2499,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_332 ),
    inference(superposition,[],[f2404,f51]) ).

fof(f2404,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_332 ),
    inference(avatar_component_clause,[],[f2402]) ).

fof(f2884,plain,
    ( spl0_379
    | ~ spl0_2
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f2497,f2397,f50,f2881]) ).

fof(f2397,plain,
    ( spl0_331
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f2497,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_331 ),
    inference(superposition,[],[f2399,f51]) ).

fof(f2399,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_331 ),
    inference(avatar_component_clause,[],[f2397]) ).

fof(f2879,plain,
    ( spl0_378
    | ~ spl0_2
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f2495,f2387,f50,f2876]) ).

fof(f2387,plain,
    ( spl0_329
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f2495,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_329 ),
    inference(superposition,[],[f2389,f51]) ).

fof(f2389,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_329 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f2874,plain,
    ( spl0_377
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f2493,f2372,f50,f2871]) ).

fof(f2372,plain,
    ( spl0_326
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f2493,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(superposition,[],[f2374,f51]) ).

fof(f2374,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f2372]) ).

fof(f2869,plain,
    ( spl0_376
    | ~ spl0_2
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f2491,f2362,f50,f2866]) ).

fof(f2362,plain,
    ( spl0_324
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f2491,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_324 ),
    inference(superposition,[],[f2364,f51]) ).

fof(f2364,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_324 ),
    inference(avatar_component_clause,[],[f2362]) ).

fof(f2864,plain,
    ( spl0_375
    | ~ spl0_2
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f2484,f2347,f50,f2861]) ).

fof(f2347,plain,
    ( spl0_321
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f2484,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_321 ),
    inference(superposition,[],[f2349,f51]) ).

fof(f2349,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f2347]) ).

fof(f2859,plain,
    ( spl0_374
    | ~ spl0_2
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f2482,f2342,f50,f2856]) ).

fof(f2856,plain,
    ( spl0_374
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f2342,plain,
    ( spl0_320
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f2482,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_320 ),
    inference(superposition,[],[f2344,f51]) ).

fof(f2344,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f2342]) ).

fof(f2854,plain,
    ( spl0_373
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f2480,f2332,f50,f2851]) ).

fof(f2332,plain,
    ( spl0_318
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f2480,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(superposition,[],[f2334,f51]) ).

fof(f2334,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f2332]) ).

fof(f2849,plain,
    ( spl0_372
    | ~ spl0_2
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f2478,f2317,f50,f2846]) ).

fof(f2317,plain,
    ( spl0_315
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f2478,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_315 ),
    inference(superposition,[],[f2319,f51]) ).

fof(f2319,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_315 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f2844,plain,
    ( spl0_371
    | ~ spl0_2
    | ~ spl0_313 ),
    inference(avatar_split_clause,[],[f2476,f2307,f50,f2841]) ).

fof(f2307,plain,
    ( spl0_313
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f2476,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_313 ),
    inference(superposition,[],[f2309,f51]) ).

fof(f2309,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_313 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2839,plain,
    ( spl0_370
    | ~ spl0_2
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f2474,f2297,f50,f2836]) ).

fof(f2297,plain,
    ( spl0_311
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2474,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_311 ),
    inference(superposition,[],[f2299,f51]) ).

fof(f2299,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f2297]) ).

fof(f2834,plain,
    ( spl0_369
    | ~ spl0_2
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f2467,f2287,f50,f2831]) ).

fof(f2287,plain,
    ( spl0_309
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f2467,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_309 ),
    inference(superposition,[],[f2289,f51]) ).

fof(f2289,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f2287]) ).

fof(f2829,plain,
    ( spl0_368
    | ~ spl0_2
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f2465,f2277,f50,f2826]) ).

fof(f2277,plain,
    ( spl0_307
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f2465,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_307 ),
    inference(superposition,[],[f2279,f51]) ).

fof(f2279,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f2277]) ).

fof(f2824,plain,
    ( spl0_367
    | ~ spl0_2
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f2463,f2262,f50,f2821]) ).

fof(f2262,plain,
    ( spl0_304
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f2463,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_304 ),
    inference(superposition,[],[f2264,f51]) ).

fof(f2264,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f2262]) ).

fof(f2819,plain,
    ( spl0_366
    | ~ spl0_2
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f2461,f2252,f50,f2816]) ).

fof(f2252,plain,
    ( spl0_302
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f2461,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_302 ),
    inference(superposition,[],[f2254,f51]) ).

fof(f2254,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_302 ),
    inference(avatar_component_clause,[],[f2252]) ).

fof(f2814,plain,
    ( spl0_365
    | ~ spl0_2
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f2459,f2242,f50,f2811]) ).

fof(f2242,plain,
    ( spl0_300
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f2459,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_300 ),
    inference(superposition,[],[f2244,f51]) ).

fof(f2244,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f2242]) ).

fof(f2809,plain,
    ( spl0_364
    | ~ spl0_2
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f2452,f2232,f50,f2806]) ).

fof(f2232,plain,
    ( spl0_298
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f2452,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_298 ),
    inference(superposition,[],[f2234,f51]) ).

fof(f2234,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_298 ),
    inference(avatar_component_clause,[],[f2232]) ).

fof(f2804,plain,
    ( spl0_363
    | ~ spl0_2
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f2450,f2222,f50,f2801]) ).

fof(f2222,plain,
    ( spl0_296
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f2450,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_296 ),
    inference(superposition,[],[f2224,f51]) ).

fof(f2224,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_296 ),
    inference(avatar_component_clause,[],[f2222]) ).

fof(f2799,plain,
    ( spl0_362
    | ~ spl0_2
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f2448,f2199,f50,f2796]) ).

fof(f2199,plain,
    ( spl0_293
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f2448,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_293 ),
    inference(superposition,[],[f2201,f51]) ).

fof(f2201,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f2199]) ).

fof(f2794,plain,
    ( spl0_361
    | ~ spl0_2
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f2446,f2189,f50,f2791]) ).

fof(f2189,plain,
    ( spl0_291
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2446,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_291 ),
    inference(superposition,[],[f2191,f51]) ).

fof(f2191,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f2189]) ).

fof(f2699,plain,
    ( spl0_360
    | ~ spl0_2
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f2186,f2144,f50,f2696]) ).

fof(f2144,plain,
    ( spl0_290
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f2186,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_290 ),
    inference(superposition,[],[f2146,f51]) ).

fof(f2146,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f2144]) ).

fof(f2694,plain,
    ( spl0_359
    | ~ spl0_2
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f2184,f2134,f50,f2691]) ).

fof(f2134,plain,
    ( spl0_288
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f2184,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_288 ),
    inference(superposition,[],[f2136,f51]) ).

fof(f2136,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f2134]) ).

fof(f2689,plain,
    ( spl0_358
    | ~ spl0_2
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f2182,f2124,f50,f2686]) ).

fof(f2124,plain,
    ( spl0_286
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f2182,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_286 ),
    inference(superposition,[],[f2126,f51]) ).

fof(f2126,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f2124]) ).

fof(f2684,plain,
    ( spl0_357
    | ~ spl0_2
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f2170,f2103,f50,f2681]) ).

fof(f2103,plain,
    ( spl0_283
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f2170,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_283 ),
    inference(superposition,[],[f2105,f51]) ).

fof(f2105,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f2103]) ).

fof(f2679,plain,
    ( spl0_356
    | ~ spl0_2
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f2168,f2098,f50,f2676]) ).

fof(f2098,plain,
    ( spl0_282
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f2168,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_282 ),
    inference(superposition,[],[f2100,f51]) ).

fof(f2100,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f2098]) ).

fof(f2674,plain,
    ( spl0_355
    | ~ spl0_2
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f2166,f2088,f50,f2671]) ).

fof(f2088,plain,
    ( spl0_280
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f2166,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_280 ),
    inference(superposition,[],[f2090,f51]) ).

fof(f2090,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f2088]) ).

fof(f2669,plain,
    ( spl0_354
    | ~ spl0_2
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2164,f2078,f50,f2666]) ).

fof(f2078,plain,
    ( spl0_278
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2164,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_278 ),
    inference(superposition,[],[f2080,f51]) ).

fof(f2080,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f2078]) ).

fof(f2664,plain,
    ( spl0_353
    | ~ spl0_2
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f2162,f2068,f50,f2661]) ).

fof(f2068,plain,
    ( spl0_276
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f2162,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_276 ),
    inference(superposition,[],[f2070,f51]) ).

fof(f2070,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_276 ),
    inference(avatar_component_clause,[],[f2068]) ).

fof(f2659,plain,
    ( spl0_352
    | ~ spl0_2
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f2150,f2053,f50,f2656]) ).

fof(f2053,plain,
    ( spl0_273
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2150,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_273 ),
    inference(superposition,[],[f2055,f51]) ).

fof(f2055,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f2053]) ).

fof(f2654,plain,
    ( spl0_351
    | ~ spl0_2
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f2148,f2038,f50,f2651]) ).

fof(f2038,plain,
    ( spl0_270
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f2148,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_270 ),
    inference(superposition,[],[f2040,f51]) ).

fof(f2040,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f2038]) ).

fof(f2541,plain,
    ( spl0_350
    | ~ spl0_2
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f2035,f1990,f50,f2538]) ).

fof(f1990,plain,
    ( spl0_266
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f2035,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_266 ),
    inference(superposition,[],[f1992,f51]) ).

fof(f1992,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f1990]) ).

fof(f2536,plain,
    ( spl0_349
    | ~ spl0_2
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f2033,f1980,f50,f2533]) ).

fof(f2533,plain,
    ( spl0_349
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f1980,plain,
    ( spl0_264
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f2033,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_264 ),
    inference(superposition,[],[f1982,f51]) ).

fof(f1982,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f1980]) ).

fof(f2531,plain,
    ( spl0_348
    | ~ spl0_2
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2031,f1970,f50,f2528]) ).

fof(f1970,plain,
    ( spl0_262
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f2031,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_262 ),
    inference(superposition,[],[f1972,f51]) ).

fof(f1972,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f1970]) ).

fof(f2526,plain,
    ( spl0_347
    | ~ spl0_2
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f2024,f1960,f50,f2523]) ).

fof(f2523,plain,
    ( spl0_347
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f1960,plain,
    ( spl0_260
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f2024,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_260 ),
    inference(superposition,[],[f1962,f51]) ).

fof(f1962,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1960]) ).

fof(f2521,plain,
    ( spl0_346
    | ~ spl0_2
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f2022,f1942,f50,f2518]) ).

fof(f2518,plain,
    ( spl0_346
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1942,plain,
    ( spl0_258
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f2022,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_258 ),
    inference(superposition,[],[f1944,f51]) ).

fof(f1944,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_258 ),
    inference(avatar_component_clause,[],[f1942]) ).

fof(f2516,plain,
    ( spl0_345
    | ~ spl0_2
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f2020,f1927,f50,f2513]) ).

fof(f1927,plain,
    ( spl0_255
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f2020,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_255 ),
    inference(superposition,[],[f1929,f51]) ).

fof(f1929,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_255 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f2505,plain,
    ( spl0_344
    | ~ spl0_2
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f2018,f1917,f50,f2502]) ).

fof(f1917,plain,
    ( spl0_253
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f2018,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_253 ),
    inference(superposition,[],[f1919,f51]) ).

fof(f1919,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))),true)
    | ~ spl0_253 ),
    inference(avatar_component_clause,[],[f1917]) ).

fof(f2490,plain,
    ( spl0_343
    | ~ spl0_2
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2016,f1912,f50,f2487]) ).

fof(f1912,plain,
    ( spl0_252
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f2016,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_252 ),
    inference(superposition,[],[f1914,f51]) ).

fof(f1914,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f1912]) ).

fof(f2473,plain,
    ( spl0_342
    | ~ spl0_2
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2009,f1891,f50,f2470]) ).

fof(f1891,plain,
    ( spl0_249
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2009,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_249 ),
    inference(superposition,[],[f1893,f51]) ).

fof(f1893,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f1891]) ).

fof(f2458,plain,
    ( spl0_341
    | ~ spl0_2
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f2007,f1881,f50,f2455]) ).

fof(f1881,plain,
    ( spl0_247
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f2007,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_247 ),
    inference(superposition,[],[f1883,f51]) ).

fof(f1883,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f2445,plain,
    ( spl0_340
    | ~ spl0_3
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1751,f1627,f54,f2442]) ).

fof(f1627,plain,
    ( spl0_223
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1751,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_223 ),
    inference(superposition,[],[f55,f1629]) ).

fof(f1629,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f2440,plain,
    ( spl0_339
    | ~ spl0_2
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f2005,f1871,f50,f2437]) ).

fof(f1871,plain,
    ( spl0_245
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f2005,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_245 ),
    inference(superposition,[],[f1873,f51]) ).

fof(f1873,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))),true)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1871]) ).

fof(f2435,plain,
    ( spl0_338
    | ~ spl0_3
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1750,f1627,f54,f2432]) ).

fof(f2432,plain,
    ( spl0_338
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f1750,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_223 ),
    inference(superposition,[],[f55,f1629]) ).

fof(f2430,plain,
    ( spl0_337
    | ~ spl0_8
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1749,f1627,f74,f2427]) ).

fof(f2427,plain,
    ( spl0_337
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f1749,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_223 ),
    inference(superposition,[],[f75,f1629]) ).

fof(f2425,plain,
    ( spl0_336
    | ~ spl0_9
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1748,f1627,f78,f2422]) ).

fof(f1748,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_9
    | ~ spl0_223 ),
    inference(superposition,[],[f79,f1629]) ).

fof(f2420,plain,
    ( spl0_335
    | ~ spl0_3
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1735,f1617,f54,f2417]) ).

fof(f1617,plain,
    ( spl0_221
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f1735,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_221 ),
    inference(superposition,[],[f55,f1619]) ).

fof(f1619,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1617]) ).

fof(f2415,plain,
    ( spl0_334
    | ~ spl0_3
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1734,f1617,f54,f2412]) ).

fof(f2412,plain,
    ( spl0_334
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f1734,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_221 ),
    inference(superposition,[],[f55,f1619]) ).

fof(f2410,plain,
    ( spl0_333
    | ~ spl0_14
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1733,f1617,f98,f2407]) ).

fof(f2407,plain,
    ( spl0_333
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f1733,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_221 ),
    inference(superposition,[],[f99,f1619]) ).

fof(f2405,plain,
    ( spl0_332
    | ~ spl0_15
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1732,f1617,f102,f2402]) ).

fof(f1732,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_15
    | ~ spl0_221 ),
    inference(superposition,[],[f103,f1619]) ).

fof(f2400,plain,
    ( spl0_331
    | ~ spl0_3
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f1719,f1607,f54,f2397]) ).

fof(f1607,plain,
    ( spl0_219
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1719,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_219 ),
    inference(superposition,[],[f55,f1609]) ).

fof(f1609,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f1607]) ).

fof(f2395,plain,
    ( spl0_330
    | ~ spl0_3
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f1718,f1607,f54,f2392]) ).

fof(f2392,plain,
    ( spl0_330
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f1718,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_219 ),
    inference(superposition,[],[f55,f1609]) ).

fof(f2390,plain,
    ( spl0_329
    | ~ spl0_4
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f1715,f1607,f58,f2387]) ).

fof(f1715,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_4
    | ~ spl0_219 ),
    inference(superposition,[],[f59,f1609]) ).

fof(f2385,plain,
    ( spl0_328
    | ~ spl0_2
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f2003,f1866,f50,f2382]) ).

fof(f2382,plain,
    ( spl0_328
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f1866,plain,
    ( spl0_244
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f2003,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_244 ),
    inference(superposition,[],[f1868,f51]) ).

fof(f1868,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1866]) ).

fof(f2380,plain,
    ( spl0_327
    | ~ spl0_5
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f1714,f1607,f62,f2377]) ).

fof(f2377,plain,
    ( spl0_327
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f1714,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_5
    | ~ spl0_219 ),
    inference(superposition,[],[f63,f1609]) ).

fof(f2375,plain,
    ( spl0_326
    | ~ spl0_8
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f1709,f1602,f74,f2372]) ).

fof(f1602,plain,
    ( spl0_218
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f1709,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_8
    | ~ spl0_218 ),
    inference(superposition,[],[f75,f1604]) ).

fof(f1604,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f2370,plain,
    ( spl0_325
    | ~ spl0_9
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f1708,f1602,f78,f2367]) ).

fof(f2367,plain,
    ( spl0_325
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f1708,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(s(o)))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_9
    | ~ spl0_218 ),
    inference(superposition,[],[f79,f1604]) ).

fof(f2365,plain,
    ( spl0_324
    | ~ spl0_3
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f1703,f1597,f54,f2362]) ).

fof(f1597,plain,
    ( spl0_217
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f1703,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_217 ),
    inference(superposition,[],[f55,f1599]) ).

fof(f1599,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f2360,plain,
    ( spl0_323
    | ~ spl0_3
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f1702,f1597,f54,f2357]) ).

fof(f2357,plain,
    ( spl0_323
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f1702,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_217 ),
    inference(superposition,[],[f55,f1599]) ).

fof(f2355,plain,
    ( spl0_322
    | ~ spl0_18
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f1701,f1597,f114,f2352]) ).

fof(f2352,plain,
    ( spl0_322
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f1701,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_18
    | ~ spl0_217 ),
    inference(superposition,[],[f115,f1599]) ).

fof(f2350,plain,
    ( spl0_321
    | ~ spl0_19
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f1700,f1597,f118,f2347]) ).

fof(f1700,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(o)),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_19
    | ~ spl0_217 ),
    inference(superposition,[],[f119,f1599]) ).

fof(f2345,plain,
    ( spl0_320
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1695,f1592,f54,f2342]) ).

fof(f1592,plain,
    ( spl0_216
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f1695,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(superposition,[],[f55,f1594]) ).

fof(f1594,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f2340,plain,
    ( spl0_319
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1694,f1592,f54,f2337]) ).

fof(f2337,plain,
    ( spl0_319
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f1694,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(superposition,[],[f55,f1594]) ).

fof(f2335,plain,
    ( spl0_318
    | ~ spl0_10
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1691,f1592,f82,f2332]) ).

fof(f1691,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_10
    | ~ spl0_216 ),
    inference(superposition,[],[f83,f1594]) ).

fof(f2330,plain,
    ( spl0_317
    | ~ spl0_2
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2001,f1856,f50,f2327]) ).

fof(f1856,plain,
    ( spl0_242
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f2001,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_242 ),
    inference(superposition,[],[f1858,f51]) ).

fof(f1858,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1856]) ).

fof(f2325,plain,
    ( spl0_316
    | ~ spl0_11
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1690,f1592,f86,f2322]) ).

fof(f2322,plain,
    ( spl0_316
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f1690,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_11
    | ~ spl0_216 ),
    inference(superposition,[],[f87,f1594]) ).

fof(f2320,plain,
    ( spl0_315
    | ~ spl0_4
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1689,f1592,f58,f2317]) ).

fof(f1689,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_4
    | ~ spl0_216 ),
    inference(superposition,[],[f59,f1594]) ).

fof(f2315,plain,
    ( spl0_314
    | ~ spl0_5
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f1688,f1592,f62,f2312]) ).

fof(f2312,plain,
    ( spl0_314
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f1688,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_5
    | ~ spl0_216 ),
    inference(superposition,[],[f63,f1594]) ).

fof(f2310,plain,
    ( spl0_313
    | ~ spl0_16
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f1683,f1587,f106,f2307]) ).

fof(f1587,plain,
    ( spl0_215
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f1683,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_16
    | ~ spl0_215 ),
    inference(superposition,[],[f107,f1589]) ).

fof(f1589,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1587]) ).

fof(f2305,plain,
    ( spl0_312
    | ~ spl0_17
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f1682,f1587,f110,f2302]) ).

fof(f2302,plain,
    ( spl0_312
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f1682,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_215 ),
    inference(superposition,[],[f111,f1589]) ).

fof(f2300,plain,
    ( spl0_311
    | ~ spl0_3
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f1677,f1582,f54,f2297]) ).

fof(f1582,plain,
    ( spl0_214
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f1677,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_214 ),
    inference(superposition,[],[f55,f1584]) ).

fof(f1584,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1582]) ).

fof(f2295,plain,
    ( spl0_310
    | ~ spl0_3
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f1676,f1582,f54,f2292]) ).

fof(f2292,plain,
    ( spl0_310
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f1676,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_214 ),
    inference(superposition,[],[f55,f1584]) ).

fof(f2290,plain,
    ( spl0_309
    | ~ spl0_4
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f1673,f1582,f58,f2287]) ).

fof(f1673,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_4
    | ~ spl0_214 ),
    inference(superposition,[],[f59,f1584]) ).

fof(f2285,plain,
    ( spl0_308
    | ~ spl0_5
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f1672,f1582,f62,f2282]) ).

fof(f2282,plain,
    ( spl0_308
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f1672,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(s(o))),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_5
    | ~ spl0_214 ),
    inference(superposition,[],[f63,f1584]) ).

fof(f2280,plain,
    ( spl0_307
    | ~ spl0_12
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1665,f1577,f90,f2277]) ).

fof(f1577,plain,
    ( spl0_213
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f1665,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_12
    | ~ spl0_213 ),
    inference(superposition,[],[f91,f1579]) ).

fof(f1579,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f2275,plain,
    ( spl0_306
    | ~ spl0_2
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f1994,f1846,f50,f2272]) ).

fof(f1846,plain,
    ( spl0_240
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1994,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_240 ),
    inference(superposition,[],[f1848,f51]) ).

fof(f1848,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f1846]) ).

fof(f2270,plain,
    ( spl0_305
    | ~ spl0_13
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1664,f1577,f94,f2267]) ).

fof(f2267,plain,
    ( spl0_305
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f1664,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_213 ),
    inference(superposition,[],[f95,f1579]) ).

fof(f2265,plain,
    ( spl0_304
    | ~ spl0_10
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1663,f1577,f82,f2262]) ).

fof(f1663,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_10
    | ~ spl0_213 ),
    inference(superposition,[],[f83,f1579]) ).

fof(f2260,plain,
    ( spl0_303
    | ~ spl0_11
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1662,f1577,f86,f2257]) ).

fof(f2257,plain,
    ( spl0_303
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1662,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_11
    | ~ spl0_213 ),
    inference(superposition,[],[f87,f1579]) ).

fof(f2255,plain,
    ( spl0_302
    | ~ spl0_16
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1657,f1572,f106,f2252]) ).

fof(f1572,plain,
    ( spl0_212
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1657,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_16
    | ~ spl0_212 ),
    inference(superposition,[],[f107,f1574]) ).

fof(f1574,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f2250,plain,
    ( spl0_301
    | ~ spl0_17
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1656,f1572,f110,f2247]) ).

fof(f2247,plain,
    ( spl0_301
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f1656,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_212 ),
    inference(superposition,[],[f111,f1574]) ).

fof(f2245,plain,
    ( spl0_300
    | ~ spl0_3
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1651,f1567,f54,f2242]) ).

fof(f1567,plain,
    ( spl0_211
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f1651,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_211 ),
    inference(superposition,[],[f55,f1569]) ).

fof(f1569,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_211 ),
    inference(avatar_component_clause,[],[f1567]) ).

fof(f2240,plain,
    ( spl0_299
    | ~ spl0_3
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1650,f1567,f54,f2237]) ).

fof(f2237,plain,
    ( spl0_299
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f1650,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_211 ),
    inference(superposition,[],[f55,f1569]) ).

fof(f2235,plain,
    ( spl0_298
    | ~ spl0_12
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1647,f1567,f90,f2232]) ).

fof(f1647,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_12
    | ~ spl0_211 ),
    inference(superposition,[],[f91,f1569]) ).

fof(f2230,plain,
    ( spl0_297
    | ~ spl0_13
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1646,f1567,f94,f2227]) ).

fof(f2227,plain,
    ( spl0_297
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1646,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_211 ),
    inference(superposition,[],[f95,f1569]) ).

fof(f2225,plain,
    ( spl0_296
    | ~ spl0_3
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f1643,f1562,f54,f2222]) ).

fof(f1562,plain,
    ( spl0_210
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f1643,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_210 ),
    inference(superposition,[],[f55,f1564]) ).

fof(f1564,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1562]) ).

fof(f2212,plain,
    ( spl0_295
    | ~ spl0_3
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f1642,f1562,f54,f2209]) ).

fof(f2209,plain,
    ( spl0_295
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f1642,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_210 ),
    inference(superposition,[],[f55,f1564]) ).

fof(f2207,plain,
    ( spl0_294
    | ~ spl0_14
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f1641,f1562,f98,f2204]) ).

fof(f2204,plain,
    ( spl0_294
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f1641,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_14
    | ~ spl0_210 ),
    inference(superposition,[],[f99,f1564]) ).

fof(f2202,plain,
    ( spl0_293
    | ~ spl0_15
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f1640,f1562,f102,f2199]) ).

fof(f1640,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_15
    | ~ spl0_210 ),
    inference(superposition,[],[f103,f1564]) ).

fof(f2197,plain,
    ( spl0_292
    | ~ spl0_28
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1520,f1473,f154,f2194]) ).

fof(f2194,plain,
    ( spl0_292
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f1473,plain,
    ( spl0_205
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f1520,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_28
    | ~ spl0_205 ),
    inference(superposition,[],[f155,f1475]) ).

fof(f1475,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f2192,plain,
    ( spl0_291
    | ~ spl0_29
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1519,f1473,f158,f2189]) ).

fof(f1519,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_29
    | ~ spl0_205 ),
    inference(superposition,[],[f159,f1475]) ).

fof(f2147,plain,
    ( spl0_290
    | ~ spl0_26
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f1707,f1602,f146,f2144]) ).

fof(f1707,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_218 ),
    inference(superposition,[],[f147,f1604]) ).

fof(f2142,plain,
    ( spl0_289
    | ~ spl0_27
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f1706,f1602,f150,f2139]) ).

fof(f2139,plain,
    ( spl0_289
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f1706,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_218 ),
    inference(superposition,[],[f151,f1604]) ).

fof(f2137,plain,
    ( spl0_288
    | ~ spl0_26
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f1681,f1587,f146,f2134]) ).

fof(f1681,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_215 ),
    inference(superposition,[],[f147,f1589]) ).

fof(f2132,plain,
    ( spl0_287
    | ~ spl0_27
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f1680,f1587,f150,f2129]) ).

fof(f2129,plain,
    ( spl0_287
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f1680,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_215 ),
    inference(superposition,[],[f151,f1589]) ).

fof(f2127,plain,
    ( spl0_286
    | ~ spl0_26
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1655,f1572,f146,f2124]) ).

fof(f1655,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_212 ),
    inference(superposition,[],[f147,f1574]) ).

fof(f2116,plain,
    ( spl0_285
    | ~ spl0_27
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1654,f1572,f150,f2113]) ).

fof(f2113,plain,
    ( spl0_285
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f1654,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_212 ),
    inference(superposition,[],[f151,f1574]) ).

fof(f2111,plain,
    ( spl0_284
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1530,f1478,f106,f2108]) ).

fof(f2108,plain,
    ( spl0_284
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1478,plain,
    ( spl0_206
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f1530,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(superposition,[],[f107,f1480]) ).

fof(f1480,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f2106,plain,
    ( spl0_283
    | ~ spl0_17
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1529,f1478,f110,f2103]) ).

fof(f1529,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_206 ),
    inference(superposition,[],[f111,f1480]) ).

fof(f2101,plain,
    ( spl0_282
    | ~ spl0_6
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1526,f1478,f66,f2098]) ).

fof(f1526,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_6
    | ~ spl0_206 ),
    inference(superposition,[],[f67,f1480]) ).

fof(f2096,plain,
    ( spl0_281
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1525,f1478,f70,f2093]) ).

fof(f2093,plain,
    ( spl0_281
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f1525,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(superposition,[],[f71,f1480]) ).

fof(f2091,plain,
    ( spl0_280
    | ~ spl0_3
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f1512,f1468,f54,f2088]) ).

fof(f1468,plain,
    ( spl0_204
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f1512,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_204 ),
    inference(superposition,[],[f55,f1470]) ).

fof(f1470,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_204 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f2086,plain,
    ( spl0_279
    | ~ spl0_3
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f1511,f1468,f54,f2083]) ).

fof(f2083,plain,
    ( spl0_279
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f1511,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_204 ),
    inference(superposition,[],[f55,f1470]) ).

fof(f2081,plain,
    ( spl0_278
    | ~ spl0_6
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f1508,f1468,f66,f2078]) ).

fof(f1508,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_6
    | ~ spl0_204 ),
    inference(superposition,[],[f67,f1470]) ).

fof(f2076,plain,
    ( spl0_277
    | ~ spl0_7
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f1507,f1468,f70,f2073]) ).

fof(f2073,plain,
    ( spl0_277
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f1507,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_7
    | ~ spl0_204 ),
    inference(superposition,[],[f71,f1470]) ).

fof(f2071,plain,
    ( spl0_276
    | ~ spl0_3
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1504,f1463,f54,f2068]) ).

fof(f1463,plain,
    ( spl0_203
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f1504,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_203 ),
    inference(superposition,[],[f55,f1465]) ).

fof(f1465,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1463]) ).

fof(f2066,plain,
    ( spl0_275
    | ~ spl0_2
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f1833,f1823,f50,f2063]) ).

fof(f2063,plain,
    ( spl0_275
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1823,plain,
    ( spl0_237
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f1833,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_237 ),
    inference(superposition,[],[f1825,f51]) ).

fof(f1825,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true)
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f1823]) ).

fof(f2061,plain,
    ( spl0_274
    | ~ spl0_3
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1503,f1463,f54,f2058]) ).

fof(f2058,plain,
    ( spl0_274
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f1503,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_203 ),
    inference(superposition,[],[f55,f1465]) ).

fof(f2056,plain,
    ( spl0_273
    | ~ spl0_4
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1500,f1463,f58,f2053]) ).

fof(f1500,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_4
    | ~ spl0_203 ),
    inference(superposition,[],[f59,f1465]) ).

fof(f2051,plain,
    ( spl0_272
    | ~ spl0_5
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1499,f1463,f62,f2048]) ).

fof(f2048,plain,
    ( spl0_272
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f1499,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_5
    | ~ spl0_203 ),
    inference(superposition,[],[f63,f1465]) ).

fof(f2046,plain,
    ( spl0_271
    | ~ spl0_28
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1419,f1248,f154,f2043]) ).

fof(f2043,plain,
    ( spl0_271
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f1248,plain,
    ( spl0_178
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1419,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_28
    | ~ spl0_178 ),
    inference(superposition,[],[f155,f1250]) ).

fof(f1250,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f2041,plain,
    ( spl0_270
    | ~ spl0_29
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1418,f1248,f158,f2038]) ).

fof(f1418,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_29
    | ~ spl0_178 ),
    inference(superposition,[],[f159,f1250]) ).

fof(f2030,plain,
    ( spl0_269
    | ~ spl0_2
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f1831,f1803,f50,f2027]) ).

fof(f1803,plain,
    ( spl0_233
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f1831,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_233 ),
    inference(superposition,[],[f1805,f51]) ).

fof(f1805,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f1803]) ).

fof(f2015,plain,
    ( spl0_268
    | ~ spl0_2
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f1829,f1798,f50,f2012]) ).

fof(f1798,plain,
    ( spl0_232
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f1829,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_232 ),
    inference(superposition,[],[f1800,f51]) ).

fof(f1800,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))),true)
    | ~ spl0_232 ),
    inference(avatar_component_clause,[],[f1798]) ).

fof(f2000,plain,
    ( spl0_267
    | ~ spl0_2
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f1827,f1788,f50,f1997]) ).

fof(f1997,plain,
    ( spl0_267
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f1788,plain,
    ( spl0_230
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f1827,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_230 ),
    inference(superposition,[],[f1790,f51]) ).

fof(f1790,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f1788]) ).

fof(f1993,plain,
    ( spl0_266
    | ~ spl0_28
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1558,f1493,f154,f1990]) ).

fof(f1493,plain,
    ( spl0_209
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f1558,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_28
    | ~ spl0_209 ),
    inference(superposition,[],[f155,f1495]) ).

fof(f1495,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1493]) ).

fof(f1988,plain,
    ( spl0_265
    | ~ spl0_29
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1557,f1493,f158,f1985]) ).

fof(f1985,plain,
    ( spl0_265
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f1557,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_29
    | ~ spl0_209 ),
    inference(superposition,[],[f159,f1495]) ).

fof(f1983,plain,
    ( spl0_264
    | ~ spl0_22
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1554,f1493,f130,f1980]) ).

fof(f1554,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_209 ),
    inference(superposition,[],[f131,f1495]) ).

fof(f1978,plain,
    ( spl0_263
    | ~ spl0_23
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1553,f1493,f134,f1975]) ).

fof(f1975,plain,
    ( spl0_263
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f1553,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_209 ),
    inference(superposition,[],[f135,f1495]) ).

fof(f1973,plain,
    ( spl0_262
    | ~ spl0_28
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f1548,f1488,f154,f1970]) ).

fof(f1488,plain,
    ( spl0_208
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f1548,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_28
    | ~ spl0_208 ),
    inference(superposition,[],[f155,f1490]) ).

fof(f1490,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1488]) ).

fof(f1968,plain,
    ( spl0_261
    | ~ spl0_29
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f1547,f1488,f158,f1965]) ).

fof(f1965,plain,
    ( spl0_261
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f1547,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_29
    | ~ spl0_208 ),
    inference(superposition,[],[f159,f1490]) ).

fof(f1963,plain,
    ( spl0_260
    | ~ spl0_22
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f1544,f1488,f130,f1960]) ).

fof(f1544,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_22
    | ~ spl0_208 ),
    inference(superposition,[],[f131,f1490]) ).

fof(f1950,plain,
    ( spl0_259
    | ~ spl0_23
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f1543,f1488,f134,f1947]) ).

fof(f1947,plain,
    ( spl0_259
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f1543,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_23
    | ~ spl0_208 ),
    inference(superposition,[],[f135,f1490]) ).

fof(f1945,plain,
    ( spl0_258
    | ~ spl0_22
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f1536,f1483,f130,f1942]) ).

fof(f1483,plain,
    ( spl0_207
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f1536,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_22
    | ~ spl0_207 ),
    inference(superposition,[],[f131,f1485]) ).

fof(f1485,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o))))
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1483]) ).

fof(f1940,plain,
    ( spl0_257
    | ~ spl0_23
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f1535,f1483,f134,f1937]) ).

fof(f1937,plain,
    ( spl0_257
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f1535,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_23
    | ~ spl0_207 ),
    inference(superposition,[],[f135,f1485]) ).

fof(f1935,plain,
    ( spl0_256
    | ~ spl0_6
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f1459,f1398,f66,f1932]) ).

fof(f1932,plain,
    ( spl0_256
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f1398,plain,
    ( spl0_202
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f1459,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_6
    | ~ spl0_202 ),
    inference(superposition,[],[f67,f1400]) ).

fof(f1400,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1930,plain,
    ( spl0_255
    | ~ spl0_7
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f1458,f1398,f70,f1927]) ).

fof(f1458,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_7
    | ~ spl0_202 ),
    inference(superposition,[],[f71,f1400]) ).

fof(f1925,plain,
    ( spl0_254
    | ~ spl0_12
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f1445,f1368,f90,f1922]) ).

fof(f1922,plain,
    ( spl0_254
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1368,plain,
    ( spl0_200
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f1445,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_12
    | ~ spl0_200 ),
    inference(superposition,[],[f91,f1370]) ).

fof(f1370,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o)))
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f1920,plain,
    ( spl0_253
    | ~ spl0_13
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f1444,f1368,f94,f1917]) ).

fof(f1444,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(o))),true)
    | ~ spl0_13
    | ~ spl0_200 ),
    inference(superposition,[],[f95,f1370]) ).

fof(f1915,plain,
    ( spl0_252
    | ~ spl0_3
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1439,f1353,f54,f1912]) ).

fof(f1353,plain,
    ( spl0_199
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f1439,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_199 ),
    inference(superposition,[],[f55,f1355]) ).

fof(f1355,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1353]) ).

fof(f1910,plain,
    ( spl0_251
    | ~ spl0_3
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1438,f1353,f54,f1907]) ).

fof(f1907,plain,
    ( spl0_251
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f1438,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_199 ),
    inference(superposition,[],[f55,f1355]) ).

fof(f1905,plain,
    ( spl0_250
    | ~ spl0_14
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1437,f1353,f98,f1902]) ).

fof(f1902,plain,
    ( spl0_250
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f1437,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_14
    | ~ spl0_199 ),
    inference(superposition,[],[f99,f1355]) ).

fof(f1894,plain,
    ( spl0_249
    | ~ spl0_15
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1436,f1353,f102,f1891]) ).

fof(f1436,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_15
    | ~ spl0_199 ),
    inference(superposition,[],[f103,f1355]) ).

fof(f1889,plain,
    ( spl0_248
    | ~ spl0_8
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1435,f1353,f74,f1886]) ).

fof(f1886,plain,
    ( spl0_248
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f1435,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_8
    | ~ spl0_199 ),
    inference(superposition,[],[f75,f1355]) ).

fof(f1884,plain,
    ( spl0_247
    | ~ spl0_9
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f1434,f1353,f78,f1881]) ).

fof(f1434,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_9
    | ~ spl0_199 ),
    inference(superposition,[],[f79,f1355]) ).

fof(f1879,plain,
    ( spl0_246
    | ~ spl0_12
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1427,f1303,f90,f1876]) ).

fof(f1876,plain,
    ( spl0_246
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f1303,plain,
    ( spl0_189
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1427,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_12
    | ~ spl0_189 ),
    inference(superposition,[],[f91,f1305]) ).

fof(f1305,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o)))))
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f1874,plain,
    ( spl0_245
    | ~ spl0_13
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1426,f1303,f94,f1871]) ).

fof(f1426,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,s(s(s(o))))),true)
    | ~ spl0_13
    | ~ spl0_189 ),
    inference(superposition,[],[f95,f1305]) ).

fof(f1869,plain,
    ( spl0_244
    | ~ spl0_3
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1411,f1193,f54,f1866]) ).

fof(f1193,plain,
    ( spl0_167
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1411,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_167 ),
    inference(superposition,[],[f55,f1195]) ).

fof(f1195,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o))
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1864,plain,
    ( spl0_243
    | ~ spl0_3
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1410,f1193,f54,f1861]) ).

fof(f1861,plain,
    ( spl0_243
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1410,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_167 ),
    inference(superposition,[],[f55,f1195]) ).

fof(f1859,plain,
    ( spl0_242
    | ~ spl0_12
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1407,f1193,f90,f1856]) ).

fof(f1407,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true)
    | ~ spl0_12
    | ~ spl0_167 ),
    inference(superposition,[],[f91,f1195]) ).

fof(f1854,plain,
    ( spl0_241
    | ~ spl0_13
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1406,f1193,f94,f1851]) ).

fof(f1851,plain,
    ( spl0_241
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1406,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_13
    | ~ spl0_167 ),
    inference(superposition,[],[f95,f1195]) ).

fof(f1849,plain,
    ( spl0_240
    | ~ spl0_10
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1405,f1193,f82,f1846]) ).

fof(f1405,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true)
    | ~ spl0_10
    | ~ spl0_167 ),
    inference(superposition,[],[f83,f1195]) ).

fof(f1844,plain,
    ( spl0_239
    | ~ spl0_2
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f1780,f1774,f50,f1841]) ).

fof(f1774,plain,
    ( spl0_228
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f1780,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o))
    | ~ spl0_2
    | ~ spl0_228 ),
    inference(superposition,[],[f1776,f51]) ).

fof(f1776,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),true)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f1774]) ).

fof(f1839,plain,
    ( spl0_238
    | ~ spl0_11
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1404,f1193,f86,f1836]) ).

fof(f1836,plain,
    ( spl0_238
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f1404,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),true,true,true)
    | ~ spl0_11
    | ~ spl0_167 ),
    inference(superposition,[],[f87,f1195]) ).

fof(f1826,plain,
    ( spl0_237
    | ~ spl0_3
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1176,f1083,f54,f1823]) ).

fof(f1083,plain,
    ( spl0_151
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1176,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true)
    | ~ spl0_3
    | ~ spl0_151 ),
    inference(superposition,[],[f55,f1085]) ).

fof(f1085,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o))
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1821,plain,
    ( spl0_236
    | ~ spl0_2
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f1778,f1764,f50,f1818]) ).

fof(f1764,plain,
    ( spl0_226
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f1778,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_226 ),
    inference(superposition,[],[f1766,f51]) ).

fof(f1766,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f1764]) ).

fof(f1816,plain,
    ( spl0_235
    | ~ spl0_3
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1175,f1083,f54,f1813]) ).

fof(f1813,plain,
    ( spl0_235
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f1175,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_151 ),
    inference(superposition,[],[f55,f1085]) ).

fof(f1811,plain,
    ( spl0_234
    | ~ spl0_6
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1174,f1083,f66,f1808]) ).

fof(f1808,plain,
    ( spl0_234
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f1174,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_6
    | ~ spl0_151 ),
    inference(superposition,[],[f67,f1085]) ).

fof(f1806,plain,
    ( spl0_233
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1173,f1083,f70,f1803]) ).

fof(f1173,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(superposition,[],[f71,f1085]) ).

fof(f1801,plain,
    ( spl0_232
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1139,f1068,f54,f1798]) ).

fof(f1068,plain,
    ( spl0_150
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1139,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(superposition,[],[f55,f1070]) ).

fof(f1070,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1796,plain,
    ( spl0_231
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1138,f1068,f54,f1793]) ).

fof(f1793,plain,
    ( spl0_231
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f1138,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(superposition,[],[f55,f1070]) ).

fof(f1791,plain,
    ( spl0_230
    | ~ spl0_3
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1029,f977,f54,f1788]) ).

fof(f977,plain,
    ( spl0_135
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1029,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_135 ),
    inference(superposition,[],[f55,f979]) ).

fof(f979,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o))
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f1786,plain,
    ( spl0_229
    | ~ spl0_3
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1028,f977,f54,f1783]) ).

fof(f1783,plain,
    ( spl0_229
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f1028,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_135 ),
    inference(superposition,[],[f55,f979]) ).

fof(f1777,plain,
    ( spl0_228
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1027,f977,f154,f1774]) ).

fof(f1027,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),true)
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(superposition,[],[f155,f979]) ).

fof(f1772,plain,
    ( spl0_227
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1026,f977,f158,f1769]) ).

fof(f1769,plain,
    ( spl0_227
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f1026,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),true,true,true)
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(superposition,[],[f159,f979]) ).

fof(f1767,plain,
    ( spl0_226
    | ~ spl0_22
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1023,f977,f130,f1764]) ).

fof(f1023,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_22
    | ~ spl0_135 ),
    inference(superposition,[],[f131,f979]) ).

fof(f1762,plain,
    ( spl0_225
    | ~ spl0_23
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1022,f977,f134,f1759]) ).

fof(f1759,plain,
    ( spl0_225
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f1022,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(o,o)),true,true,true)
    | ~ spl0_23
    | ~ spl0_135 ),
    inference(superposition,[],[f135,f979]) ).

fof(f1635,plain,
    ( spl0_224
    | ~ spl0_2
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f1395,f1348,f50,f1632]) ).

fof(f1632,plain,
    ( spl0_224
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f1348,plain,
    ( spl0_198
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f1395,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_198 ),
    inference(superposition,[],[f1350,f51]) ).

fof(f1350,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f1630,plain,
    ( spl0_223
    | ~ spl0_2
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f1393,f1338,f50,f1627]) ).

fof(f1338,plain,
    ( spl0_196
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f1393,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_196 ),
    inference(superposition,[],[f1340,f51]) ).

fof(f1340,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1625,plain,
    ( spl0_222
    | ~ spl0_2
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f1391,f1328,f50,f1622]) ).

fof(f1622,plain,
    ( spl0_222
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f1328,plain,
    ( spl0_194
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f1391,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_194 ),
    inference(superposition,[],[f1330,f51]) ).

fof(f1330,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1620,plain,
    ( spl0_221
    | ~ spl0_2
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f1389,f1318,f50,f1617]) ).

fof(f1318,plain,
    ( spl0_192
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1389,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_192 ),
    inference(superposition,[],[f1320,f51]) ).

fof(f1320,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1615,plain,
    ( spl0_220
    | ~ spl0_2
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f1387,f1308,f50,f1612]) ).

fof(f1612,plain,
    ( spl0_220
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f1308,plain,
    ( spl0_190
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1387,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_190 ),
    inference(superposition,[],[f1310,f51]) ).

fof(f1310,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f1610,plain,
    ( spl0_219
    | ~ spl0_2
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1380,f1293,f50,f1607]) ).

fof(f1293,plain,
    ( spl0_187
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1380,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_187 ),
    inference(superposition,[],[f1295,f51]) ).

fof(f1295,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1605,plain,
    ( spl0_218
    | ~ spl0_2
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1378,f1283,f50,f1602]) ).

fof(f1283,plain,
    ( spl0_185
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1378,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_185 ),
    inference(superposition,[],[f1285,f51]) ).

fof(f1285,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1283]) ).

fof(f1600,plain,
    ( spl0_217
    | ~ spl0_2
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1376,f1273,f50,f1597]) ).

fof(f1273,plain,
    ( spl0_183
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1376,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_183 ),
    inference(superposition,[],[f1275,f51]) ).

fof(f1275,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1273]) ).

fof(f1595,plain,
    ( spl0_216
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1374,f1263,f50,f1592]) ).

fof(f1263,plain,
    ( spl0_181
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1374,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(superposition,[],[f1265,f51]) ).

fof(f1265,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1590,plain,
    ( spl0_215
    | ~ spl0_2
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1372,f1253,f50,f1587]) ).

fof(f1253,plain,
    ( spl0_179
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1372,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_179 ),
    inference(superposition,[],[f1255,f51]) ).

fof(f1255,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1253]) ).

fof(f1585,plain,
    ( spl0_214
    | ~ spl0_2
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1365,f1233,f50,f1582]) ).

fof(f1233,plain,
    ( spl0_175
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1365,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_175 ),
    inference(superposition,[],[f1235,f51]) ).

fof(f1235,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1580,plain,
    ( spl0_213
    | ~ spl0_2
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1363,f1228,f50,f1577]) ).

fof(f1228,plain,
    ( spl0_174
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1363,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_174 ),
    inference(superposition,[],[f1230,f51]) ).

fof(f1230,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1575,plain,
    ( spl0_212
    | ~ spl0_2
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1361,f1218,f50,f1572]) ).

fof(f1218,plain,
    ( spl0_172
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1361,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_172 ),
    inference(superposition,[],[f1220,f51]) ).

fof(f1220,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1570,plain,
    ( spl0_211
    | ~ spl0_2
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1359,f1203,f50,f1567]) ).

fof(f1203,plain,
    ( spl0_169
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1359,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_169 ),
    inference(superposition,[],[f1205,f51]) ).

fof(f1205,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1203]) ).

fof(f1565,plain,
    ( spl0_210
    | ~ spl0_2
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1357,f1198,f50,f1562]) ).

fof(f1198,plain,
    ( spl0_168
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1357,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_168 ),
    inference(superposition,[],[f1200,f51]) ).

fof(f1200,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1496,plain,
    ( spl0_209
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1185,f1161,f50,f1493]) ).

fof(f1161,plain,
    ( spl0_165
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1185,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(superposition,[],[f1163,f51]) ).

fof(f1163,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f1491,plain,
    ( spl0_208
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1183,f1151,f50,f1488]) ).

fof(f1151,plain,
    ( spl0_163
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1183,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(superposition,[],[f1153,f51]) ).

fof(f1153,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1486,plain,
    ( spl0_207
    | ~ spl0_2
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1181,f1141,f50,f1483]) ).

fof(f1141,plain,
    ( spl0_161
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1181,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_161 ),
    inference(superposition,[],[f1143,f51]) ).

fof(f1143,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1481,plain,
    ( spl0_206
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1179,f1120,f50,f1478]) ).

fof(f1120,plain,
    ( spl0_158
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1179,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(superposition,[],[f1122,f51]) ).

fof(f1122,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1476,plain,
    ( spl0_205
    | ~ spl0_2
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1177,f1115,f50,f1473]) ).

fof(f1115,plain,
    ( spl0_157
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1177,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_157 ),
    inference(superposition,[],[f1117,f51]) ).

fof(f1117,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1471,plain,
    ( spl0_204
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1167,f1105,f50,f1468]) ).

fof(f1105,plain,
    ( spl0_155
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1167,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(superposition,[],[f1107,f51]) ).

fof(f1107,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1466,plain,
    ( spl0_203
    | ~ spl0_2
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1165,f1095,f50,f1463]) ).

fof(f1095,plain,
    ( spl0_153
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1165,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_153 ),
    inference(superposition,[],[f1097,f51]) ).

fof(f1097,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1401,plain,
    ( spl0_202
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1087,f1061,f50,f1398]) ).

fof(f1061,plain,
    ( spl0_149
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1087,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(superposition,[],[f1063,f51]) ).

fof(f1063,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1386,plain,
    ( spl0_201
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1080,f1051,f50,f1383]) ).

fof(f1383,plain,
    ( spl0_201
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f1051,plain,
    ( spl0_147
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1080,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(superposition,[],[f1053,f51]) ).

fof(f1053,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1371,plain,
    ( spl0_200
    | ~ spl0_2
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1078,f1041,f50,f1368]) ).

fof(f1041,plain,
    ( spl0_145
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1078,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o)))
    | ~ spl0_2
    | ~ spl0_145 ),
    inference(superposition,[],[f1043,f51]) ).

fof(f1043,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1356,plain,
    ( spl0_199
    | ~ spl0_2
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1076,f1016,f50,f1353]) ).

fof(f1016,plain,
    ( spl0_142
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1076,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_142 ),
    inference(superposition,[],[f1018,f51]) ).

fof(f1018,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1351,plain,
    ( spl0_198
    | ~ spl0_3
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f935,f855,f54,f1348]) ).

fof(f855,plain,
    ( spl0_127
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f935,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_127 ),
    inference(superposition,[],[f55,f857]) ).

fof(f857,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1346,plain,
    ( spl0_197
    | ~ spl0_3
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f934,f855,f54,f1343]) ).

fof(f1343,plain,
    ( spl0_197
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f934,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_127 ),
    inference(superposition,[],[f55,f857]) ).

fof(f1341,plain,
    ( spl0_196
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f931,f855,f66,f1338]) ).

fof(f931,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(superposition,[],[f67,f857]) ).

fof(f1336,plain,
    ( spl0_195
    | ~ spl0_7
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f930,f855,f70,f1333]) ).

fof(f1333,plain,
    ( spl0_195
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f930,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_7
    | ~ spl0_127 ),
    inference(superposition,[],[f71,f857]) ).

fof(f1331,plain,
    ( spl0_194
    | ~ spl0_3
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f927,f850,f54,f1328]) ).

fof(f850,plain,
    ( spl0_126
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f927,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_126 ),
    inference(superposition,[],[f55,f852]) ).

fof(f852,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1326,plain,
    ( spl0_193
    | ~ spl0_3
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f926,f850,f54,f1323]) ).

fof(f1323,plain,
    ( spl0_193
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f926,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_126 ),
    inference(superposition,[],[f55,f852]) ).

fof(f1321,plain,
    ( spl0_192
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f923,f850,f58,f1318]) ).

fof(f923,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(superposition,[],[f59,f852]) ).

fof(f1316,plain,
    ( spl0_191
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f922,f850,f62,f1313]) ).

fof(f1313,plain,
    ( spl0_191
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f922,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(superposition,[],[f63,f852]) ).

fof(f1311,plain,
    ( spl0_190
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f919,f845,f54,f1308]) ).

fof(f845,plain,
    ( spl0_125
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f919,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(superposition,[],[f55,f847]) ).

fof(f847,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f1306,plain,
    ( spl0_189
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1074,f1011,f50,f1303]) ).

fof(f1011,plain,
    ( spl0_141
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1074,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(superposition,[],[f1013,f51]) ).

fof(f1013,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))),true)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1301,plain,
    ( spl0_188
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f918,f845,f54,f1298]) ).

fof(f1298,plain,
    ( spl0_188
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f918,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(superposition,[],[f55,f847]) ).

fof(f1296,plain,
    ( spl0_187
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f915,f845,f82,f1293]) ).

fof(f915,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(superposition,[],[f83,f847]) ).

fof(f1291,plain,
    ( spl0_186
    | ~ spl0_11
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f914,f845,f86,f1288]) ).

fof(f1288,plain,
    ( spl0_186
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f914,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_11
    | ~ spl0_125 ),
    inference(superposition,[],[f87,f847]) ).

fof(f1286,plain,
    ( spl0_185
    | ~ spl0_3
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f905,f835,f54,f1283]) ).

fof(f835,plain,
    ( spl0_123
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f905,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_123 ),
    inference(superposition,[],[f55,f837]) ).

fof(f837,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f1281,plain,
    ( spl0_184
    | ~ spl0_3
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f904,f835,f54,f1278]) ).

fof(f1278,plain,
    ( spl0_184
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f904,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_123 ),
    inference(superposition,[],[f55,f837]) ).

fof(f1276,plain,
    ( spl0_183
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f901,f835,f58,f1273]) ).

fof(f901,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(superposition,[],[f59,f837]) ).

fof(f1271,plain,
    ( spl0_182
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f900,f835,f62,f1268]) ).

fof(f1268,plain,
    ( spl0_182
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f900,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(s(o))),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(superposition,[],[f63,f837]) ).

fof(f1266,plain,
    ( spl0_181
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f895,f830,f106,f1263]) ).

fof(f830,plain,
    ( spl0_122
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f895,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(superposition,[],[f107,f832]) ).

fof(f832,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f1261,plain,
    ( spl0_180
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f894,f830,f110,f1258]) ).

fof(f1258,plain,
    ( spl0_180
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f894,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(superposition,[],[f111,f832]) ).

fof(f1256,plain,
    ( spl0_179
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f889,f825,f54,f1253]) ).

fof(f825,plain,
    ( spl0_121
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f889,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(superposition,[],[f55,f827]) ).

fof(f827,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f1251,plain,
    ( spl0_178
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1072,f1001,f50,f1248]) ).

fof(f1001,plain,
    ( spl0_139
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1072,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(superposition,[],[f1003,f51]) ).

fof(f1003,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1246,plain,
    ( spl0_177
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f888,f825,f54,f1243]) ).

fof(f1243,plain,
    ( spl0_177
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f888,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(superposition,[],[f55,f827]) ).

fof(f1241,plain,
    ( spl0_176
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f887,f825,f114,f1238]) ).

fof(f1238,plain,
    ( spl0_176
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f887,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(superposition,[],[f115,f827]) ).

fof(f1236,plain,
    ( spl0_175
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f886,f825,f118,f1233]) ).

fof(f886,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(superposition,[],[f119,f827]) ).

fof(f1231,plain,
    ( spl0_174
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f879,f820,f106,f1228]) ).

fof(f820,plain,
    ( spl0_120
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f879,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(superposition,[],[f107,f822]) ).

fof(f822,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o))))
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f1226,plain,
    ( spl0_173
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f878,f820,f110,f1223]) ).

fof(f1223,plain,
    ( spl0_173
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f878,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(superposition,[],[f111,f822]) ).

fof(f1221,plain,
    ( spl0_172
    | ~ spl0_3
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f873,f815,f54,f1218]) ).

fof(f815,plain,
    ( spl0_119
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f873,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_119 ),
    inference(superposition,[],[f55,f817]) ).

fof(f817,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f1216,plain,
    ( spl0_171
    | ~ spl0_3
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f872,f815,f54,f1213]) ).

fof(f1213,plain,
    ( spl0_171
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f872,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_119 ),
    inference(superposition,[],[f55,f817]) ).

fof(f1211,plain,
    ( spl0_170
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f871,f815,f114,f1208]) ).

fof(f1208,plain,
    ( spl0_170
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f871,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(superposition,[],[f115,f817]) ).

fof(f1206,plain,
    ( spl0_169
    | ~ spl0_19
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f870,f815,f118,f1203]) ).

fof(f870,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(o))),s(s(o))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_19
    | ~ spl0_119 ),
    inference(superposition,[],[f119,f817]) ).

fof(f1201,plain,
    ( spl0_168
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f867,f815,f58,f1198]) ).

fof(f867,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(superposition,[],[f59,f817]) ).

fof(f1196,plain,
    ( spl0_167
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1065,f991,f50,f1193]) ).

fof(f991,plain,
    ( spl0_137
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1065,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(superposition,[],[f993,f51]) ).

fof(f993,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f1191,plain,
    ( spl0_166
    | ~ spl0_5
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f866,f815,f62,f1188]) ).

fof(f1188,plain,
    ( spl0_166
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f866,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(s(o))),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_5
    | ~ spl0_119 ),
    inference(superposition,[],[f63,f817]) ).

fof(f1164,plain,
    ( spl0_165
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f909,f840,f146,f1161]) ).

fof(f840,plain,
    ( spl0_124
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f909,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(superposition,[],[f147,f842]) ).

fof(f842,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f1159,plain,
    ( spl0_164
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f908,f840,f150,f1156]) ).

fof(f1156,plain,
    ( spl0_164
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f908,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(superposition,[],[f151,f842]) ).

fof(f1154,plain,
    ( spl0_163
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f893,f830,f146,f1151]) ).

fof(f893,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(superposition,[],[f147,f832]) ).

fof(f1149,plain,
    ( spl0_162
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f892,f830,f150,f1146]) ).

fof(f1146,plain,
    ( spl0_162
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f892,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_122 ),
    inference(superposition,[],[f151,f832]) ).

fof(f1144,plain,
    ( spl0_161
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f877,f820,f146,f1141]) ).

fof(f877,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(superposition,[],[f147,f822]) ).

fof(f1133,plain,
    ( spl0_160
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f876,f820,f150,f1130]) ).

fof(f1130,plain,
    ( spl0_160
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f876,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_27
    | ~ spl0_120 ),
    inference(superposition,[],[f151,f822]) ).

fof(f1128,plain,
    ( spl0_159
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f801,f777,f90,f1125]) ).

fof(f1125,plain,
    ( spl0_159
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f777,plain,
    ( spl0_117
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f801,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_12
    | ~ spl0_117 ),
    inference(superposition,[],[f91,f779]) ).

fof(f779,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1123,plain,
    ( spl0_158
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f800,f777,f94,f1120]) ).

fof(f800,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(superposition,[],[f95,f779]) ).

fof(f1118,plain,
    ( spl0_157
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f795,f772,f54,f1115]) ).

fof(f772,plain,
    ( spl0_116
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f795,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(superposition,[],[f55,f774]) ).

fof(f774,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1113,plain,
    ( spl0_156
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f794,f772,f54,f1110]) ).

fof(f1110,plain,
    ( spl0_156
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f794,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(superposition,[],[f55,f774]) ).

fof(f1108,plain,
    ( spl0_155
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f791,f772,f90,f1105]) ).

fof(f791,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_12
    | ~ spl0_116 ),
    inference(superposition,[],[f91,f774]) ).

fof(f1103,plain,
    ( spl0_154
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f790,f772,f94,f1100]) ).

fof(f1100,plain,
    ( spl0_154
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f790,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_13
    | ~ spl0_116 ),
    inference(superposition,[],[f95,f774]) ).

fof(f1098,plain,
    ( spl0_153
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f789,f772,f82,f1095]) ).

fof(f789,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(superposition,[],[f83,f774]) ).

fof(f1093,plain,
    ( spl0_152
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f788,f772,f86,f1090]) ).

fof(f1090,plain,
    ( spl0_152
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f788,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(superposition,[],[f87,f774]) ).

fof(f1086,plain,
    ( spl0_151
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f983,f970,f50,f1083]) ).

fof(f970,plain,
    ( spl0_134
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f983,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(superposition,[],[f972,f51]) ).

fof(f972,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f1071,plain,
    ( spl0_150
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f981,f960,f50,f1068]) ).

fof(f960,plain,
    ( spl0_132
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f981,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(superposition,[],[f962,f51]) ).

fof(f962,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1064,plain,
    ( spl0_149
    | ~ spl0_28
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f811,f782,f154,f1061]) ).

fof(f782,plain,
    ( spl0_118
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f811,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_28
    | ~ spl0_118 ),
    inference(superposition,[],[f155,f784]) ).

fof(f784,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f1059,plain,
    ( spl0_148
    | ~ spl0_29
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f810,f782,f158,f1056]) ).

fof(f1056,plain,
    ( spl0_148
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f810,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_29
    | ~ spl0_118 ),
    inference(superposition,[],[f159,f784]) ).

fof(f1054,plain,
    ( spl0_147
    | ~ spl0_22
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f807,f782,f130,f1051]) ).

fof(f807,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_22
    | ~ spl0_118 ),
    inference(superposition,[],[f131,f784]) ).

fof(f1049,plain,
    ( spl0_146
    | ~ spl0_23
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f806,f782,f134,f1046]) ).

fof(f1046,plain,
    ( spl0_146
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f806,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_23
    | ~ spl0_118 ),
    inference(superposition,[],[f135,f784]) ).

fof(f1044,plain,
    ( spl0_145
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f770,f727,f54,f1041]) ).

fof(f727,plain,
    ( spl0_115
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f770,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true)
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(superposition,[],[f55,f729]) ).

fof(f729,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1039,plain,
    ( spl0_144
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f769,f727,f54,f1036]) ).

fof(f1036,plain,
    ( spl0_144
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f769,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(superposition,[],[f55,f729]) ).

fof(f1034,plain,
    ( spl0_143
    | ~ spl0_6
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f768,f727,f66,f1031]) ).

fof(f1031,plain,
    ( spl0_143
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f768,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_6
    | ~ spl0_115 ),
    inference(superposition,[],[f67,f729]) ).

fof(f1019,plain,
    ( spl0_142
    | ~ spl0_7
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f767,f727,f70,f1016]) ).

fof(f767,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_7
    | ~ spl0_115 ),
    inference(superposition,[],[f71,f729]) ).

fof(f1014,plain,
    ( spl0_141
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f762,f688,f54,f1011]) ).

fof(f688,plain,
    ( spl0_108
  <=> true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f762,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(superposition,[],[f55,f690]) ).

fof(f690,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f1009,plain,
    ( spl0_140
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f761,f688,f54,f1006]) ).

fof(f1006,plain,
    ( spl0_140
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f761,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(superposition,[],[f55,f690]) ).

fof(f1004,plain,
    ( spl0_139
    | ~ spl0_3
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f750,f599,f54,f1001]) ).

fof(f599,plain,
    ( spl0_93
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f750,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_93 ),
    inference(superposition,[],[f55,f601]) ).

fof(f601,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f999,plain,
    ( spl0_138
    | ~ spl0_3
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f749,f599,f54,f996]) ).

fof(f996,plain,
    ( spl0_138
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f749,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_93 ),
    inference(superposition,[],[f55,f601]) ).

fof(f994,plain,
    ( spl0_137
    | ~ spl0_16
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f634,f560,f106,f991]) ).

fof(f560,plain,
    ( spl0_86
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f634,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true)
    | ~ spl0_16
    | ~ spl0_86 ),
    inference(superposition,[],[f107,f562]) ).

fof(f562,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o))
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f989,plain,
    ( spl0_136
    | ~ spl0_17
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f633,f560,f110,f986]) ).

fof(f986,plain,
    ( spl0_136
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f633,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true,true,true)
    | ~ spl0_17
    | ~ spl0_86 ),
    inference(superposition,[],[f111,f562]) ).

fof(f980,plain,
    ( spl0_135
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f974,f950,f50,f977]) ).

fof(f950,plain,
    ( spl0_130
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f974,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(superposition,[],[f952,f51]) ).

fof(f952,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f973,plain,
    ( spl0_134
    | ~ spl0_28
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f748,f599,f154,f970]) ).

fof(f748,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true)
    | ~ spl0_28
    | ~ spl0_93 ),
    inference(superposition,[],[f155,f601]) ).

fof(f968,plain,
    ( spl0_133
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f747,f599,f158,f965]) ).

fof(f965,plain,
    ( spl0_133
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f747,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(superposition,[],[f159,f601]) ).

fof(f963,plain,
    ( spl0_132
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f744,f599,f130,f960]) ).

fof(f744,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(superposition,[],[f131,f601]) ).

fof(f958,plain,
    ( spl0_131
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f743,f599,f134,f955]) ).

fof(f955,plain,
    ( spl0_131
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f743,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(superposition,[],[f135,f601]) ).

fof(f953,plain,
    ( spl0_130
    | ~ spl0_26
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f632,f560,f146,f950]) ).

fof(f632,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_26
    | ~ spl0_86 ),
    inference(superposition,[],[f147,f562]) ).

fof(f948,plain,
    ( spl0_129
    | ~ spl0_27
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f631,f560,f150,f945]) ).

fof(f945,plain,
    ( spl0_129
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f631,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),true,true,true)
    | ~ spl0_27
    | ~ spl0_86 ),
    inference(superposition,[],[f151,f562]) ).

fof(f863,plain,
    ( spl0_128
    | ~ spl0_2
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f755,f718,f50,f860]) ).

fof(f860,plain,
    ( spl0_128
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f718,plain,
    ( spl0_114
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f755,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_114 ),
    inference(superposition,[],[f720,f51]) ).

fof(f720,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f858,plain,
    ( spl0_127
    | ~ spl0_2
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f753,f708,f50,f855]) ).

fof(f708,plain,
    ( spl0_112
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f753,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_112 ),
    inference(superposition,[],[f710,f51]) ).

fof(f710,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f853,plain,
    ( spl0_126
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f751,f698,f50,f850]) ).

fof(f698,plain,
    ( spl0_110
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f751,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(superposition,[],[f700,f51]) ).

fof(f700,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f848,plain,
    ( spl0_125
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f739,f683,f50,f845]) ).

fof(f683,plain,
    ( spl0_107
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f739,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(superposition,[],[f685,f51]) ).

fof(f685,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f843,plain,
    ( spl0_124
    | ~ spl0_2
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f737,f673,f50,f840]) ).

fof(f673,plain,
    ( spl0_105
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f737,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o))))
    | ~ spl0_2
    | ~ spl0_105 ),
    inference(superposition,[],[f675,f51]) ).

fof(f675,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f838,plain,
    ( spl0_123
    | ~ spl0_2
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f735,f663,f50,f835]) ).

fof(f663,plain,
    ( spl0_103
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f735,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_103 ),
    inference(superposition,[],[f665,f51]) ).

fof(f665,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f833,plain,
    ( spl0_122
    | ~ spl0_2
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f733,f653,f50,f830]) ).

fof(f653,plain,
    ( spl0_101
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f733,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o)))
    | ~ spl0_2
    | ~ spl0_101 ),
    inference(superposition,[],[f655,f51]) ).

fof(f655,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f828,plain,
    ( spl0_121
    | ~ spl0_2
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f731,f638,f50,f825]) ).

fof(f638,plain,
    ( spl0_98
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f731,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_98 ),
    inference(superposition,[],[f640,f51]) ).

fof(f640,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f823,plain,
    ( spl0_120
    | ~ spl0_2
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f724,f625,f50,f820]) ).

fof(f625,plain,
    ( spl0_97
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f724,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o))))
    | ~ spl0_2
    | ~ spl0_97 ),
    inference(superposition,[],[f627,f51]) ).

fof(f627,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f818,plain,
    ( spl0_119
    | ~ spl0_2
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f722,f610,f50,f815]) ).

fof(f610,plain,
    ( spl0_94
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f722,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_94 ),
    inference(superposition,[],[f612,f51]) ).

fof(f612,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f785,plain,
    ( spl0_118
    | ~ spl0_2
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f607,f594,f50,f782]) ).

fof(f594,plain,
    ( spl0_92
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f607,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_92 ),
    inference(superposition,[],[f596,f51]) ).

fof(f596,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f780,plain,
    ( spl0_117
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f605,f584,f50,f777]) ).

fof(f584,plain,
    ( spl0_90
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f605,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(superposition,[],[f586,f51]) ).

fof(f586,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f775,plain,
    ( spl0_116
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f603,f574,f50,f772]) ).

fof(f574,plain,
    ( spl0_88
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f603,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(superposition,[],[f576,f51]) ).

fof(f576,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f730,plain,
    ( spl0_115
    | ~ spl0_2
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f566,f551,f50,f727]) ).

fof(f551,plain,
    ( spl0_85
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f566,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_85 ),
    inference(superposition,[],[f553,f51]) ).

fof(f553,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f721,plain,
    ( spl0_114
    | ~ spl0_3
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f514,f469,f54,f718]) ).

fof(f469,plain,
    ( spl0_77
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f514,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_77 ),
    inference(superposition,[],[f55,f471]) ).

fof(f471,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f716,plain,
    ( spl0_113
    | ~ spl0_3
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f513,f469,f54,f713]) ).

fof(f713,plain,
    ( spl0_113
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f513,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_77 ),
    inference(superposition,[],[f55,f471]) ).

fof(f711,plain,
    ( spl0_112
    | ~ spl0_12
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f510,f469,f90,f708]) ).

fof(f510,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_12
    | ~ spl0_77 ),
    inference(superposition,[],[f91,f471]) ).

fof(f706,plain,
    ( spl0_111
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f509,f469,f94,f703]) ).

fof(f703,plain,
    ( spl0_111
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f509,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(s(o))),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(superposition,[],[f95,f471]) ).

fof(f701,plain,
    ( spl0_110
    | ~ spl0_10
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f508,f469,f82,f698]) ).

fof(f508,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_10
    | ~ spl0_77 ),
    inference(superposition,[],[f83,f471]) ).

fof(f696,plain,
    ( spl0_109
    | ~ spl0_11
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f507,f469,f86,f693]) ).

fof(f693,plain,
    ( spl0_109
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f507,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_11
    | ~ spl0_77 ),
    inference(superposition,[],[f87,f471]) ).

fof(f691,plain,
    ( spl0_108
    | ~ spl0_2
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f564,f541,f50,f688]) ).

fof(f541,plain,
    ( spl0_83
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f564,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_83 ),
    inference(superposition,[],[f543,f51]) ).

fof(f543,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f686,plain,
    ( spl0_107
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f502,f464,f106,f683]) ).

fof(f464,plain,
    ( spl0_76
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f502,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(superposition,[],[f107,f466]) ).

fof(f466,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f681,plain,
    ( spl0_106
    | ~ spl0_17
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f501,f464,f110,f678]) ).

fof(f678,plain,
    ( spl0_106
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f501,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_17
    | ~ spl0_76 ),
    inference(superposition,[],[f111,f466]) ).

fof(f676,plain,
    ( spl0_105
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f496,f459,f54,f673]) ).

fof(f459,plain,
    ( spl0_75
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f496,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(superposition,[],[f55,f461]) ).

fof(f461,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f671,plain,
    ( spl0_104
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f495,f459,f54,f668]) ).

fof(f668,plain,
    ( spl0_104
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f495,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_75 ),
    inference(superposition,[],[f55,f461]) ).

fof(f666,plain,
    ( spl0_103
    | ~ spl0_10
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f492,f459,f82,f663]) ).

fof(f492,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_10
    | ~ spl0_75 ),
    inference(superposition,[],[f83,f461]) ).

fof(f661,plain,
    ( spl0_102
    | ~ spl0_11
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f491,f459,f86,f658]) ).

fof(f658,plain,
    ( spl0_102
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f491,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_75 ),
    inference(superposition,[],[f87,f461]) ).

fof(f656,plain,
    ( spl0_101
    | ~ spl0_3
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f488,f454,f54,f653]) ).

fof(f454,plain,
    ( spl0_74
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f488,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_74 ),
    inference(superposition,[],[f55,f456]) ).

fof(f456,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f651,plain,
    ( spl0_100
    | ~ spl0_3
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f487,f454,f54,f648]) ).

fof(f648,plain,
    ( spl0_100
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f487,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_74 ),
    inference(superposition,[],[f55,f456]) ).

fof(f646,plain,
    ( spl0_99
    | ~ spl0_8
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f486,f454,f74,f643]) ).

fof(f643,plain,
    ( spl0_99
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f486,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_74 ),
    inference(superposition,[],[f75,f456]) ).

fof(f641,plain,
    ( spl0_98
    | ~ spl0_9
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f485,f454,f78,f638]) ).

fof(f485,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_9
    | ~ spl0_74 ),
    inference(superposition,[],[f79,f456]) ).

fof(f628,plain,
    ( spl0_97
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f480,f449,f54,f625]) ).

fof(f449,plain,
    ( spl0_73
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f480,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true)
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(superposition,[],[f55,f451]) ).

fof(f451,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f623,plain,
    ( spl0_96
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f479,f449,f54,f620]) ).

fof(f620,plain,
    ( spl0_96
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f479,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(s(o)))),true,true,true)
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(superposition,[],[f55,f451]) ).

fof(f618,plain,
    ( spl0_95
    | ~ spl0_10
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f478,f449,f82,f615]) ).

fof(f615,plain,
    ( spl0_95
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f478,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_10
    | ~ spl0_73 ),
    inference(superposition,[],[f83,f451]) ).

fof(f613,plain,
    ( spl0_94
    | ~ spl0_11
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f477,f449,f86,f610]) ).

fof(f477,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(o)),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_11
    | ~ spl0_73 ),
    inference(superposition,[],[f87,f451]) ).

fof(f602,plain,
    ( spl0_93
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f557,f531,f50,f599]) ).

fof(f531,plain,
    ( spl0_81
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f557,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(superposition,[],[f533,f51]) ).

fof(f533,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f597,plain,
    ( spl0_92
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f500,f464,f146,f594]) ).

fof(f500,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(superposition,[],[f147,f466]) ).

fof(f592,plain,
    ( spl0_91
    | ~ spl0_27
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f499,f464,f150,f589]) ).

fof(f589,plain,
    ( spl0_91
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f499,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_27
    | ~ spl0_76 ),
    inference(superposition,[],[f151,f466]) ).

fof(f587,plain,
    ( spl0_90
    | ~ spl0_3
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f447,f426,f54,f584]) ).

fof(f426,plain,
    ( spl0_72
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f447,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))),true)
    | ~ spl0_3
    | ~ spl0_72 ),
    inference(superposition,[],[f55,f428]) ).

fof(f428,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f582,plain,
    ( spl0_89
    | ~ spl0_3
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f446,f426,f54,f579]) ).

fof(f579,plain,
    ( spl0_89
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f446,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(s(s(o))))),true,true,true)
    | ~ spl0_3
    | ~ spl0_72 ),
    inference(superposition,[],[f55,f428]) ).

fof(f577,plain,
    ( spl0_88
    | ~ spl0_16
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f435,f413,f106,f574]) ).

fof(f413,plain,
    ( spl0_71
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f435,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true)
    | ~ spl0_16
    | ~ spl0_71 ),
    inference(superposition,[],[f107,f415]) ).

fof(f415,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f572,plain,
    ( spl0_87
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f434,f413,f110,f569]) ).

fof(f569,plain,
    ( spl0_87
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f434,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(superposition,[],[f111,f415]) ).

fof(f563,plain,
    ( spl0_86
    | ~ spl0_2
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f555,f521,f50,f560]) ).

fof(f521,plain,
    ( spl0_79
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f555,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o))
    | ~ spl0_2
    | ~ spl0_79 ),
    inference(superposition,[],[f523,f51]) ).

fof(f523,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f554,plain,
    ( spl0_85
    | ~ spl0_28
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f445,f426,f154,f551]) ).

fof(f445,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_28
    | ~ spl0_72 ),
    inference(superposition,[],[f155,f428]) ).

fof(f549,plain,
    ( spl0_84
    | ~ spl0_29
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f444,f426,f158,f546]) ).

fof(f546,plain,
    ( spl0_84
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f444,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_29
    | ~ spl0_72 ),
    inference(superposition,[],[f159,f428]) ).

fof(f544,plain,
    ( spl0_83
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f441,f426,f130,f541]) ).

fof(f441,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(superposition,[],[f131,f428]) ).

fof(f539,plain,
    ( spl0_82
    | ~ spl0_23
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f440,f426,f134,f536]) ).

fof(f536,plain,
    ( spl0_82
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f440,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(s(o),s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_23
    | ~ spl0_72 ),
    inference(superposition,[],[f135,f428]) ).

fof(f534,plain,
    ( spl0_81
    | ~ spl0_26
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f433,f413,f146,f531]) ).

fof(f433,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_26
    | ~ spl0_71 ),
    inference(superposition,[],[f147,f415]) ).

fof(f529,plain,
    ( spl0_80
    | ~ spl0_27
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f432,f413,f150,f526]) ).

fof(f526,plain,
    ( spl0_80
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f432,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_27
    | ~ spl0_71 ),
    inference(superposition,[],[f151,f415]) ).

fof(f524,plain,
    ( spl0_79
    | ~ spl0_3
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f374,f331,f54,f521]) ).

fof(f331,plain,
    ( spl0_57
  <=> true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f374,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true)
    | ~ spl0_3
    | ~ spl0_57 ),
    inference(superposition,[],[f55,f333]) ).

fof(f333,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f519,plain,
    ( spl0_78
    | ~ spl0_3
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f373,f331,f54,f516]) ).

fof(f516,plain,
    ( spl0_78
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f373,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_57 ),
    inference(superposition,[],[f55,f333]) ).

fof(f472,plain,
    ( spl0_77
    | ~ spl0_2
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f423,f406,f50,f469]) ).

fof(f406,plain,
    ( spl0_70
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f423,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_70 ),
    inference(superposition,[],[f408,f51]) ).

fof(f408,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f467,plain,
    ( spl0_76
    | ~ spl0_2
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f421,f396,f50,f464]) ).

fof(f396,plain,
    ( spl0_68
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f421,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o)))
    | ~ spl0_2
    | ~ spl0_68 ),
    inference(superposition,[],[f398,f51]) ).

fof(f398,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f462,plain,
    ( spl0_75
    | ~ spl0_2
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f419,f381,f50,f459]) ).

fof(f381,plain,
    ( spl0_65
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f419,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_65 ),
    inference(superposition,[],[f383,f51]) ).

fof(f383,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f457,plain,
    ( spl0_74
    | ~ spl0_2
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f417,f376,f50,f454]) ).

fof(f376,plain,
    ( spl0_64
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f417,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_64 ),
    inference(superposition,[],[f378,f51]) ).

fof(f378,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f452,plain,
    ( spl0_73
    | ~ spl0_2
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f410,f355,f50,f449]) ).

fof(f355,plain,
    ( spl0_61
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f410,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_61 ),
    inference(superposition,[],[f357,f51]) ).

fof(f357,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f429,plain,
    ( spl0_72
    | ~ spl0_2
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f352,f346,f50,f426]) ).

fof(f346,plain,
    ( spl0_60
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f352,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_60 ),
    inference(superposition,[],[f348,f51]) ).

fof(f348,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f416,plain,
    ( spl0_71
    | ~ spl0_2
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f350,f336,f50,f413]) ).

fof(f336,plain,
    ( spl0_58
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f350,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o))
    | ~ spl0_2
    | ~ spl0_58 ),
    inference(superposition,[],[f338,f51]) ).

fof(f338,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f409,plain,
    ( spl0_70
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f308,f287,f106,f406]) ).

fof(f287,plain,
    ( spl0_53
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f308,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(superposition,[],[f107,f289]) ).

fof(f289,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f404,plain,
    ( spl0_69
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f307,f287,f110,f401]) ).

fof(f401,plain,
    ( spl0_69
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f307,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(superposition,[],[f111,f289]) ).

fof(f399,plain,
    ( spl0_68
    | ~ spl0_3
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f300,f282,f54,f396]) ).

fof(f282,plain,
    ( spl0_52
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f300,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true)
    | ~ spl0_3
    | ~ spl0_52 ),
    inference(superposition,[],[f55,f284]) ).

fof(f284,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f394,plain,
    ( spl0_67
    | ~ spl0_3
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f299,f282,f54,f391]) ).

fof(f391,plain,
    ( spl0_67
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f299,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),true,true,true)
    | ~ spl0_3
    | ~ spl0_52 ),
    inference(superposition,[],[f55,f284]) ).

fof(f389,plain,
    ( spl0_66
    | ~ spl0_16
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f298,f282,f106,f386]) ).

fof(f386,plain,
    ( spl0_66
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f298,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_52 ),
    inference(superposition,[],[f107,f284]) ).

fof(f384,plain,
    ( spl0_65
    | ~ spl0_17
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f297,f282,f110,f381]) ).

fof(f297,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(o)),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_17
    | ~ spl0_52 ),
    inference(superposition,[],[f111,f284]) ).

fof(f379,plain,
    ( spl0_64
    | ~ spl0_6
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f294,f282,f66,f376]) ).

fof(f294,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_6
    | ~ spl0_52 ),
    inference(superposition,[],[f67,f284]) ).

fof(f368,plain,
    ( spl0_63
    | ~ spl0_7
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f293,f282,f70,f365]) ).

fof(f365,plain,
    ( spl0_63
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f293,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_7
    | ~ spl0_52 ),
    inference(superposition,[],[f71,f284]) ).

fof(f363,plain,
    ( spl0_62
    | ~ spl0_28
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f276,f265,f154,f360]) ).

fof(f360,plain,
    ( spl0_62
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f265,plain,
    ( spl0_51
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f276,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_28
    | ~ spl0_51 ),
    inference(superposition,[],[f155,f267]) ).

fof(f267,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f358,plain,
    ( spl0_61
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f275,f265,f158,f355]) ).

fof(f275,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(o))),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(superposition,[],[f159,f267]) ).

fof(f349,plain,
    ( spl0_60
    | ~ spl0_26
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f306,f287,f146,f346]) ).

fof(f306,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_26
    | ~ spl0_53 ),
    inference(superposition,[],[f147,f289]) ).

fof(f344,plain,
    ( spl0_59
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f305,f287,f150,f341]) ).

fof(f341,plain,
    ( spl0_59
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f305,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(superposition,[],[f151,f289]) ).

fof(f339,plain,
    ( spl0_58
    | ~ spl0_3
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f278,f265,f54,f336]) ).

fof(f278,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true)
    | ~ spl0_3
    | ~ spl0_51 ),
    inference(superposition,[],[f55,f267]) ).

fof(f334,plain,
    ( spl0_57
    | ~ spl0_2
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f323,f319,f50,f331]) ).

fof(f319,plain,
    ( spl0_55
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f323,plain,
    ( true = state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_55 ),
    inference(superposition,[],[f321,f51]) ).

fof(f321,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f329,plain,
    ( spl0_56
    | ~ spl0_3
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f277,f265,f54,f326]) ).

fof(f326,plain,
    ( spl0_56
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f277,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_51 ),
    inference(superposition,[],[f55,f267]) ).

fof(f322,plain,
    ( spl0_55
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f272,f265,f122,f319]) ).

fof(f272,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(superposition,[],[f123,f267]) ).

fof(f317,plain,
    ( spl0_54
    | ~ spl0_21
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f271,f265,f126,f314]) ).

fof(f314,plain,
    ( spl0_54
  <=> true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f271,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_21
    | ~ spl0_51 ),
    inference(superposition,[],[f127,f267]) ).

fof(f290,plain,
    ( spl0_53
    | ~ spl0_2
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f262,f256,f50,f287]) ).

fof(f256,plain,
    ( spl0_50
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f262,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
    | ~ spl0_2
    | ~ spl0_50 ),
    inference(superposition,[],[f258,f51]) ).

fof(f258,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f285,plain,
    ( spl0_52
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f260,f241,f50,f282]) ).

fof(f241,plain,
    ( spl0_47
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f260,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(superposition,[],[f243,f51]) ).

fof(f243,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f268,plain,
    ( spl0_51
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f238,f234,f50,f265]) ).

fof(f234,plain,
    ( spl0_46
  <=> true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f238,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(superposition,[],[f236,f51]) ).

fof(f236,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f259,plain,
    ( spl0_50
    | ~ spl0_3
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f227,f218,f54,f256]) ).

fof(f218,plain,
    ( spl0_44
  <=> true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f227,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true)
    | ~ spl0_3
    | ~ spl0_44 ),
    inference(superposition,[],[f55,f220]) ).

fof(f220,plain,
    ( true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f254,plain,
    ( spl0_49
    | ~ spl0_3
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f226,f218,f54,f251]) ).

fof(f251,plain,
    ( spl0_49
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f226,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)),true,true,true)
    | ~ spl0_3
    | ~ spl0_44 ),
    inference(superposition,[],[f55,f220]) ).

fof(f249,plain,
    ( spl0_48
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f225,f218,f90,f246]) ).

fof(f246,plain,
    ( spl0_48
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f225,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(superposition,[],[f91,f220]) ).

fof(f244,plain,
    ( spl0_47
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f224,f218,f94,f241]) ).

fof(f224,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(superposition,[],[f95,f220]) ).

fof(f237,plain,
    ( spl0_46
    | ~ spl0_24
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f223,f218,f138,f234]) ).

fof(f223,plain,
    ( true = ifeq(true,true,state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true)
    | ~ spl0_24
    | ~ spl0_44 ),
    inference(superposition,[],[f139,f220]) ).

fof(f232,plain,
    ( spl0_45
    | ~ spl0_25
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f222,f218,f142,f229]) ).

fof(f229,plain,
    ( spl0_45
  <=> true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f222,plain,
    ( true = ifeq(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true,true,true)
    | ~ spl0_25
    | ~ spl0_44 ),
    inference(superposition,[],[f143,f220]) ).

fof(f221,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f43,f218]) ).

fof(f43,axiom,
    true = state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).

fof(f216,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f41,f214]) ).

fof(f214,plain,
    ( spl0_43
  <=> ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(s(X8),X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true,state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),e2(s(s(X8)),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f41,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(s(X8),X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true,state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),e2(s(s(X8)),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_up) ).

fof(f212,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f40,f210]) ).

fof(f210,plain,
    ( spl0_42
  <=> ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),e2(s(s(X8)),s(X9))),true,state(bb(s(X8),X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f40,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),e2(s(s(X8)),s(X9))),true,state(bb(s(X8),X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_down) ).

fof(f208,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f39,f206]) ).

fof(f206,plain,
    ( spl0_41
  <=> ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,s(X9)),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(s(X9))),e2(s(X8),s(s(X9)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f39,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,s(X9)),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(s(X9))),e2(s(X8),s(s(X9)))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_left) ).

fof(f204,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f38,f202]) ).

fof(f202,plain,
    ( spl0_40
  <=> ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(s(X9))),e2(s(X8),s(s(X9)))),true,state(bb(X8,s(X9)),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f38,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(bb(X8,X9),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(s(X9))),e2(s(X8),s(s(X9)))),true,state(bb(X8,s(X9)),X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_right) ).

fof(f200,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f37,f198]) ).

fof(f37,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_up) ).

fof(f196,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f36,f194]) ).

fof(f36,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(s(X8),X9),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,X6,h(s(X8),X9),X14,X10,X11,X12,e1(X8,X9),e2(X8,s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_down) ).

fof(f192,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f31,f190]) ).

fof(f31,axiom,
    ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_left) ).

fof(f188,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f30,f186]) ).

fof(f30,axiom,
    ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,X5,v4(X8,s(X9)),X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_right) ).

fof(f184,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f27,f182]) ).

fof(f27,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_left) ).

fof(f180,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f26,f178]) ).

fof(f26,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,X4,v3(X8,s(X9)),X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_right) ).

fof(f176,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f23,f174]) ).

fof(f174,plain,
    ( spl0_33
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12] : true = ifeq(state(X1,X3,v2(X8,s(X9)),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f23,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12] : true = ifeq(state(X1,X3,v2(X8,s(X9)),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_left) ).

fof(f172,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f22,f170]) ).

fof(f170,plain,
    ( spl0_32
  <=> ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12] : true = ifeq(state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,v2(X8,s(X9)),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f22,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12] : true = ifeq(state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,X3,v2(X8,s(X9)),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_right) ).

fof(f168,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f19,f166]) ).

fof(f166,plain,
    ( spl0_31
  <=> ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,v1(X8,s(X9)),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f19,axiom,
    ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,v1(X8,s(X9)),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true,state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_left) ).

fof(f164,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f18,f162]) ).

fof(f162,plain,
    ( spl0_30
  <=> ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,v1(X8,s(X9)),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f18,axiom,
    ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12] : true = ifeq(state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,s(X9)),e2(s(X8),s(X9))),true,state(X1,v1(X8,s(X9)),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(s(X8),X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_right) ).

fof(f160,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f35,f158]) ).

fof(f35,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_left) ).

fof(f156,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f34,f154]) ).

fof(f34,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,h(X8,X9),X14,X10,X11,X12,e1(X8,s(s(X9))),X13),true,state(X1,X3,X4,X5,X6,h(X8,s(X9)),X14,X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_right) ).

fof(f152,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f33,f150]) ).

fof(f33,axiom,
    ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_up) ).

fof(f148,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f32,f146]) ).

fof(f32,axiom,
    ! [X3,X10,X11,X1,X8,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,v4(X8,X9),X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,X5,v4(s(X8),X9),X7,X14,X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_down) ).

fof(f144,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f29,f142]) ).

fof(f29,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_up) ).

fof(f140,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f28,f138]) ).

fof(f28,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X12,X13] : true = ifeq(state(X1,X3,X4,v3(X8,X9),X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,X4,v3(s(X8),X9),X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_down) ).

fof(f136,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f25,f134]) ).

fof(f25,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_up) ).

fof(f132,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f24,f130]) ).

fof(f24,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X5,X12,X13] : true = ifeq(state(X1,X3,v2(X8,X9),X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,X3,v2(s(X8),X9),X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2_down) ).

fof(f128,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f21,f126]) ).

fof(f21,axiom,
    ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true,state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_up) ).

fof(f124,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f20,f122]) ).

fof(f20,axiom,
    ! [X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,v1(X8,X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(s(s(X8)),X9),X13),true,state(X1,v1(s(X8),X9),X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_down) ).

fof(f120,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f17,f118]) ).

fof(f17,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_up) ).

fof(f116,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f16,f114]) ).

fof(f16,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(s(X8),X9),e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_down) ).

fof(f112,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f15,f110]) ).

fof(f15,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_left) ).

fof(f108,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f14,f106]) ).

fof(f14,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,X9),e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,s4(X8,s(X9)),e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_right) ).

fof(f104,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f13,f102]) ).

fof(f13,axiom,
    ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_up) ).

fof(f100,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f12,f98]) ).

fof(f12,axiom,
    ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(s(X8),X9),X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_down) ).

fof(f96,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f11,f94]) ).

fof(f11,axiom,
    ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_left) ).

fof(f92,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f10,f90]) ).

fof(f10,axiom,
    ! [X3,X10,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,X9),X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,X10,s3(X8,s(X9)),X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_right) ).

fof(f88,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f9,f86]) ).

fof(f9,axiom,
    ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_up) ).

fof(f84,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f82]) ).

fof(f8,axiom,
    ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(s(X8),X9),X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_down) ).

fof(f80,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f7,f78]) ).

fof(f7,axiom,
    ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_left) ).

fof(f76,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f6,f74]) ).

fof(f6,axiom,
    ! [X3,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,s2(X8,X9),X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,X14,s2(X8,s(X9)),X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_right) ).

fof(f72,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f5,f70]) ).

fof(f5,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_up) ).

fof(f68,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f4,f66]) ).

fof(f4,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(s(X8),X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(s(X8),X9),X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_down) ).

fof(f64,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f3,f62]) ).

fof(f3,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_left) ).

fof(f60,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f2,f58]) ).

fof(f2,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(state(X1,X3,X4,X5,X6,X7,s1(X8,X9),X10,X11,X12,e1(X8,s(X9)),X13),true,state(X1,X3,X4,X5,X6,X7,s1(X8,s(X9)),X10,X11,X12,e1(X8,X9),X13),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_right) ).

fof(f56,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f42,f54]) ).

fof(f42,axiom,
    ! [X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12] : true = ifeq(state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X8,X9),e2(X15,X16)),true,state(X1,X3,X4,X5,X6,X7,X14,X10,X11,X12,e1(X15,X16),e2(X8,X9)),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',swap_blanks) ).

fof(f52,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1,f50]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f48,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f44,f46]) ).

fof(f44,axiom,
    ! [X3,X10,X11,X1,X7,X14,X4,X17,X5,X12,X13] : true != state(X1,X3,X4,X5,v4(s(s(o)),s(s(o))),X7,X14,X10,X11,X12,X17,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_state) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PUZ039-10 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 18:06:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (2538)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (2541)WARNING: value z3 for option sas not known
% 0.13/0.37  % (2539)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (2542)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (2540)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (2543)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (2541)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (2544)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (2545)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)
% 0.20/0.41  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.57  TRYING [1]
% 2.02/0.68  % (2543)First to succeed.
% 2.55/0.75  % (2543)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2538"
% 2.55/0.75  % (2543)Refutation found. Thanks to Tanya!
% 2.55/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.55/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.77  % (2543)------------------------------
% 2.93/0.77  % (2543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/0.77  % (2543)Termination reason: Refutation
% 2.93/0.77  
% 2.93/0.77  % (2543)Memory used [KB]: 4718
% 2.93/0.77  % (2543)Time elapsed: 0.382 s
% 2.93/0.77  % (2543)Instructions burned: 1258 (million)
% 2.93/0.77  % (2538)Success in time 0.411 s
%------------------------------------------------------------------------------