%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL003-18 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.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 : Wed Aug 31 15:51:33 EDT 2022

% Result   : Unsatisfiable 63.47s 8.50s
% Output   : Refutation 63.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  550
% Syntax   : Number of formulae    : 2548 (1160 unt;   0 def)
%            Number of atoms       : 3957 (1839 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives : 2273 ( 864   ~; 863   |;   0   &)
%                                         ( 546 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :  548 ( 546 usr; 547 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  207 ( 207   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32904,plain,
    $false,
    inference(avatar_smt_refutation,[],[f9,f14,f40,f66,f72,f74,f138,f145,f147,f281,f283,f288,f297,f303,f308,f313,f367,f374,f456,f459,f495,f501,f578,f586,f726,f731,f736,f741,f746,f752,f760,f766,f771,f776,f782,f787,f820,f825,f830,f836,f837,f838,f907,f912,f921,f931,f955,f960,f966,f973,f978,f983,f989,f1099,f1104,f1109,f1121,f1128,f1134,f1141,f1281,f1289,f1299,f1305,f1310,f1318,f1325,f1335,f1343,f1349,f1357,f1363,f1367,f1373,f1458,f1474,f1480,f1486,f1491,f1496,f1502,f1508,f1530,f1535,f1540,f1545,f1550,f1556,f1561,f1566,f1572,f1579,f1586,f1588,f1839,f1865,f2042,f2059,f2469,f2615,f2617,f2621,f2623,f2625,f2626,f2627,f2630,f2638,f3381,f3387,f3472,f3477,f3484,f3490,f3495,f3498,f3505,f3510,f3519,f3521,f3523,f3530,f3532,f3537,f3655,f3665,f3670,f3676,f3686,f3760,f3772,f3778,f3856,f3859,f3864,f3870,f3876,f3880,f3886,f3897,f3903,f3908,f3913,f3915,f3924,f3925,f3927,f3929,f3953,f3958,f3963,f3964,f3965,f3966,f3971,f3973,f3978,f3979,f3984,f4003,f4005,f4006,f4007,f4008,f4011,f4014,f4019,f4020,f4022,f4075,f4082,f4087,f4088,f4094,f4103,f4104,f4110,f4115,f4350,f4355,f4376,f4392,f4405,f4410,f4438,f4459,f4617,f4623,f4633,f4638,f4649,f4651,f4671,f4677,f4683,f4685,f4833,f4836,f5315,f5320,f5325,f5330,f5331,f5336,f5352,f5358,f5736,f6414,f6432,f6444,f6450,f6479,f6484,f6653,f6663,f7087,f7100,f7454,f7461,f8270,f8284,f8308,f8326,f8590,f8592,f8609,f8661,f8859,f8890,f8903,f8920,f8942,f8954,f8959,f8971,f8979,f8983,f8992,f9006,f9007,f9011,f9016,f9021,f9044,f9049,f9056,f9115,f9120,f9126,f9131,f9136,f9141,f9147,f9152,f9154,f9159,f9170,f9171,f9227,f9235,f9240,f9246,f9252,f9261,f9267,f9276,f9282,f9284,f9285,f9363,f9375,f9380,f9385,f9391,f9394,f9631,f9656,f9685,f9693,f9713,f9719,f9733,f10109,f10186,f10234,f10239,f10244,f10250,f10255,f10260,f10265,f10270,f10275,f10280,f10285,f10290,f10604,f10847,f10860,f10899,f10903,f10912,f10921,f11058,f11071,f11076,f11227,f11233,f11243,f11271,f11285,f11401,f11407,f11412,f11418,f11429,f11437,f11445,f11449,f11453,f11466,f11475,f11478,f11491,f11499,f11510,f11515,f11519,f11524,f11528,f12483,f12515,f12871,f13316,f13319,f13627,f13641,f13670,f13690,f13706,f13737,f13770,f13788,f13793,f13802,f13805,f13831,f13836,f13840,f14190,f14233,f14251,f14682,f14704,f14714,f14722,f14740,f14747,f14762,f14766,f15274,f15505,f15511,f15520,f15529,f15535,f15551,f15556,f15697,f15704,f15712,f15719,f15729,f15734,f15739,f15748,f15756,f15767,f15773,f15777,f15783,f15792,f15803,f15804,f15809,f15813,f15815,f15818,f15826,f15831,f15836,f15841,f15846,f15875,f15880,f15886,f15893,f15898,f15904,f15910,f15915,f15921,f15926,f15927,f15932,f15940,f15947,f15954,f15960,f15966,f16213,f16240,f16267,f16275,f16281,f16295,f16312,f16329,f16336,f16595,f16600,f16611,f16640,f17067,f17307,f17315,f17332,f17341,f17348,f17357,f17363,f17365,f17372,f17378,f17383,f17394,f17405,f17409,f17433,f17454,f19430,f19468,f19488,f19506,f19509,f22138,f22198,f22208,f22221,f22707,f22786,f22787,f23387,f23464,f25157,f25172,f25357,f25362,f25368,f25373,f25380,f26553,f26566,f26578,f26642,f26645,f26653,f26676,f26702,f26710,f26723,f26978,f26986,f26997,f27002,f27019,f27027,f27037,f27055,f27060,f27067,f27084,f27270,f27277,f27284,f27290,f27297,f27303,f27311,f27317,f27325,f27335,f27343,f27351,f27358,f27360,f27361,f27371,f27382,f27387,f27396,f27397,f27407,f27413,f27420,f27429,f27436,f27442,f27449,f27456,f27460,f27462,f27465,f27470,f27894,f27901,f27915,f27921,f27926,f27946,f27967,f27975,f27988,f27998,f28014,f28034,f28042,f28050,f28059,f28067,f28079,f28100,f28113,f28123,f28134,f28143,f28152,f28154,f28167,f28177,f28186,f28192,f28197,f28203,f28215,f28218,f28458,f28466,f28491,f28502,f28522,f28553,f28564,f28584,f28586,f28599,f29002,f29016,f29030,f29057,f29072,f29109,f29142,f29173,f29671,f29682,f29704,f29736,f29755,f29764,f29787,f29791,f29810,f29826,f29832,f29837,f29846,f29888,f29897,f29922,f29950,f29964,f29978,f30164,f30178,f30185,f30218,f30224,f30232,f30462,f30468,f30473,f30479,f30486,f30491,f30497,f30503,f30516,f30524,f30529,f30534,f30540,f30545,f30557,f30562,f30567,f30585,f30595,f30825,f30832,f30839,f30856,f30869,f30884,f30906,f30918,f30925,f30932,f30945,f31430,f31452,f31487,f31497,f31513,f31524,f31554,f31565,f31589,f31624,f31669,f31938,f31965,f31976,f31981,f31986,f31992,f31998,f32008,f32016,f32020,f32029,f32038,f32044,f32053,f32063,f32065,f32074,f32078,f32083,f32085,f32088,f32138,f32144,f32149,f32154,f32159,f32165,f32170,f32175,f32181,f32186,f32191,f32196,f32201,f32206,f32211,f32216,f32221,f32226,f32231,f32236,f32241,f32246,f32251,f32256,f32261,f32266,f32271,f32507,f32514,f32753,f32758,f32769,f32775,f32780,f32785,f32790,f32797,f32802,f32808,f32815,f32820,f32828,f32833,f32838,f32844,f32850,f32857,f32861,f32863,f32868,f32873,f32878,f32886,f32891,f32897,f32903]) ).

fof(f32903,plain,
    ( spl0_544
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32551,f6,f32883]) ).

fof(f32883,plain,
    ( spl0_544
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,b),strong_fixed_point))) = apply(strong_fixed_point,apply(apply(w,b),strong_fixed_point)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f6,plain,
    ( spl0_1
  <=> strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f32551,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,b),strong_fixed_point))) = apply(strong_fixed_point,apply(apply(w,b),strong_fixed_point))
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f51]) ).

fof(f51,plain,
    ! [X11,X12] : apply(apply(apply(w,b),X11),apply(X11,X12)) = apply(X11,apply(apply(apply(w,b),X11),X12)),
    inference(superposition,[],[f19,f19]) ).

fof(f19,plain,
    ! [X0,X1] : apply(apply(apply(w,b),X0),X1) = apply(X0,apply(X0,X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f32467,plain,
    ( ! [X29] : apply(strong_fixed_point,X29) = apply(X29,apply(strong_fixed_point,X29))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32349,f35]) ).

fof(f35,plain,
    ( ! [X0] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))) = apply(strong_fixed_point,X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f34,f1]) ).

fof(f34,plain,
    ( ! [X0] : apply(apply(w,w),apply(apply(b,w),apply(apply(apply(b,b),b),X0))) = apply(strong_fixed_point,X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32,f1]) ).

fof(f32,plain,
    ( ! [X0] : apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(b,b),b),X0)) = apply(strong_fixed_point,X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1,f8]) ).

fof(f8,plain,
    ( strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f6]) ).

fof(f32349,plain,
    ! [X29] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X29)))) = apply(X29,apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X29))))),
    inference(superposition,[],[f3283,f23]) ).

fof(f23,plain,
    ! [X2,X1] : apply(apply(w,w),apply(apply(b,X1),X2)) = apply(apply(X1,apply(X2,apply(apply(b,X1),X2))),apply(apply(b,X1),X2)),
    inference(superposition,[],[f15,f1]) ).

fof(f15,plain,
    ! [X2] : apply(apply(X2,X2),X2) = apply(apply(w,w),X2),
    inference(superposition,[],[f2,f2]) ).

fof(f3283,plain,
    ! [X0,X1] : apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0) = apply(X1,apply(apply(w,w),X0)),
    inference(forward_demodulation,[],[f3035,f17]) ).

fof(f17,plain,
    ! [X2,X3] : apply(apply(apply(w,X2),X3),X3) = apply(apply(w,apply(X2,X3)),X3),
    inference(superposition,[],[f2,f2]) ).

fof(f3035,plain,
    ! [X0,X1] : apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0) = apply(X1,apply(apply(w,w),X0)),
    inference(superposition,[],[f99,f15]) ).

fof(f99,plain,
    ! [X16,X17,X15] : apply(apply(apply(w,apply(b,apply(b,X15))),X16),X17) = apply(X15,apply(apply(X16,X16),X17)),
    inference(superposition,[],[f1,f20]) ).

fof(f20,plain,
    ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f32897,plain,
    ( spl0_546
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32750,f6,f32894]) ).

fof(f32894,plain,
    ( spl0_546
  <=> apply(apply(strong_fixed_point,w),apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(strong_fixed_point,w))) = apply(apply(strong_fixed_point,w),apply(apply(w,w),apply(strong_fixed_point,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f32750,plain,
    ( apply(apply(strong_fixed_point,w),apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(strong_fixed_point,w))) = apply(apply(strong_fixed_point,w),apply(apply(w,w),apply(strong_fixed_point,w)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1062,f32467]) ).

fof(f1062,plain,
    ! [X1] : apply(apply(w,X1),apply(apply(X1,X1),X1)) = apply(apply(w,X1),apply(apply(w,w),X1)),
    inference(superposition,[],[f47,f46]) ).

fof(f46,plain,
    ! [X2,X3] : apply(apply(apply(w,b),apply(w,X2)),X3) = apply(apply(w,X2),apply(apply(X2,X3),X3)),
    inference(superposition,[],[f19,f2]) ).

fof(f47,plain,
    ! [X4,X5] : apply(apply(X4,X5),apply(apply(w,X4),X5)) = apply(apply(apply(w,b),apply(X4,X5)),X5),
    inference(superposition,[],[f19,f2]) ).

fof(f32891,plain,
    ( spl0_545
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32737,f6,f32888]) ).

fof(f32888,plain,
    ( spl0_545
  <=> apply(apply(apply(w,strong_fixed_point),w),apply(apply(strong_fixed_point,w),w)) = apply(apply(apply(w,b),apply(apply(w,strong_fixed_point),w)),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f32737,plain,
    ( apply(apply(apply(w,strong_fixed_point),w),apply(apply(strong_fixed_point,w),w)) = apply(apply(apply(w,b),apply(apply(w,strong_fixed_point),w)),w)
    | ~ spl0_1 ),
    inference(superposition,[],[f190,f32467]) ).

fof(f190,plain,
    ! [X10,X9] : apply(apply(apply(w,b),apply(apply(w,X9),X10)),X10) = apply(apply(apply(w,X9),X10),apply(apply(w,apply(X9,X10)),X10)),
    inference(superposition,[],[f19,f17]) ).

fof(f32886,plain,
    ( spl0_544
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32669,f6,f32883]) ).

fof(f32669,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,b),strong_fixed_point))) = apply(strong_fixed_point,apply(apply(w,b),strong_fixed_point))
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f32467]) ).

fof(f32878,plain,
    ( spl0_543
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32676,f6,f32875]) ).

fof(f32875,plain,
    ( spl0_543
  <=> apply(b,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,w),b))))) = apply(b,apply(strong_fixed_point,apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f32676,plain,
    ( apply(b,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,w),b))))) = apply(b,apply(strong_fixed_point,apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1853,f32467]) ).

fof(f1853,plain,
    ! [X0] : apply(b,apply(apply(apply(w,w),b),X0)) = apply(b,apply(b,apply(b,X0))),
    inference(forward_demodulation,[],[f1747,f1]) ).

fof(f1747,plain,
    ! [X0] : apply(apply(apply(b,b),apply(apply(w,w),b)),X0) = apply(b,apply(b,apply(b,X0))),
    inference(superposition,[],[f67,f45]) ).

fof(f45,plain,
    ! [X0] : apply(apply(apply(w,b),apply(X0,X0)),X0) = apply(apply(X0,X0),apply(apply(w,w),X0)),
    inference(superposition,[],[f19,f15]) ).

fof(f67,plain,
    ! [X8,X6,X7] : apply(X6,apply(X6,apply(X7,X8))) = apply(apply(apply(apply(w,b),apply(b,X6)),X7),X8),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ! [X8,X6,X7] : apply(X6,apply(apply(apply(b,X6),X7),X8)) = apply(apply(apply(apply(w,b),apply(b,X6)),X7),X8),
    inference(superposition,[],[f1,f19]) ).

fof(f32873,plain,
    ( spl0_542
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32744,f6,f32870]) ).

fof(f32870,plain,
    ( spl0_542
  <=> apply(apply(w,w),apply(strong_fixed_point,w)) = apply(apply(w,apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w))),apply(strong_fixed_point,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f32744,plain,
    ( apply(apply(w,w),apply(strong_fixed_point,w)) = apply(apply(w,apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w))),apply(strong_fixed_point,w))
    | ~ spl0_1 ),
    inference(superposition,[],[f179,f32467]) ).

fof(f179,plain,
    ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(X0,apply(w,X0))),apply(w,X0)),
    inference(superposition,[],[f17,f15]) ).

fof(f32868,plain,
    ( spl0_541
    | ~ spl0_1
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f32528,f8900,f6,f32865]) ).

fof(f32865,plain,
    ( spl0_541
  <=> apply(apply(apply(w,apply(w,b)),b),apply(strong_fixed_point,apply(b,apply(b,b)))) = apply(strong_fixed_point,apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f8900,plain,
    ( spl0_171
  <=> apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f32528,plain,
    ( apply(apply(apply(w,apply(w,b)),b),apply(strong_fixed_point,apply(b,apply(b,b)))) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_1
    | ~ spl0_171 ),
    inference(superposition,[],[f32467,f8902]) ).

fof(f8902,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f8900]) ).

fof(f32863,plain,
    ( spl0_538
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32674,f6,f32841]) ).

fof(f32841,plain,
    ( spl0_538
  <=> apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(apply(w,w),apply(b,w)))) = apply(strong_fixed_point,apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f32674,plain,
    ( apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(apply(w,w),apply(b,w)))) = apply(strong_fixed_point,apply(apply(w,w),apply(b,w)))
    | ~ spl0_1 ),
    inference(superposition,[],[f10939,f32467]) ).

fof(f10939,plain,
    ! [X2] : apply(apply(apply(w,w),apply(b,w)),X2) = apply(apply(w,apply(w,w)),X2),
    inference(superposition,[],[f10835,f122]) ).

fof(f122,plain,
    ! [X2,X3] : apply(apply(w,apply(w,X2)),X3) = apply(apply(w,apply(X2,X3)),X3),
    inference(superposition,[],[f16,f2]) ).

fof(f16,plain,
    ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1),
    inference(superposition,[],[f2,f2]) ).

fof(f10835,plain,
    ! [X4] : apply(apply(w,apply(w,X4)),X4) = apply(apply(apply(w,w),apply(b,w)),X4),
    inference(forward_demodulation,[],[f10717,f344]) ).

fof(f344,plain,
    ! [X8,X9] : apply(apply(w,apply(w,X8)),X9) = apply(apply(w,apply(apply(b,w),X8)),X9),
    inference(superposition,[],[f122,f22]) ).

fof(f22,plain,
    ! [X2,X3,X4] : apply(apply(w,apply(apply(b,X2),X3)),X4) = apply(apply(X2,apply(X3,X4)),X4),
    inference(superposition,[],[f2,f1]) ).

fof(f10717,plain,
    ! [X4] : apply(apply(w,apply(apply(b,w),X4)),X4) = apply(apply(apply(w,w),apply(b,w)),X4),
    inference(superposition,[],[f204,f2]) ).

fof(f204,plain,
    ! [X0,X1] : apply(apply(X0,apply(apply(b,X0),X1)),X1) = apply(apply(apply(w,apply(b,w)),apply(b,X0)),X1),
    inference(superposition,[],[f22,f20]) ).

fof(f32861,plain,
    ( spl0_534
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32688,f6,f32817]) ).

fof(f32817,plain,
    ( spl0_534
  <=> apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(w,apply(w,apply(b,w))))) = apply(strong_fixed_point,apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f32688,plain,
    ( apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(w,apply(w,apply(b,w))))) = apply(strong_fixed_point,apply(w,apply(w,apply(b,w))))
    | ~ spl0_1 ),
    inference(superposition,[],[f621,f32467]) ).

fof(f621,plain,
    ! [X0] : apply(apply(w,apply(w,apply(b,w))),X0) = apply(apply(w,apply(w,w)),X0),
    inference(superposition,[],[f90,f181]) ).

fof(f181,plain,
    ! [X4] : apply(apply(w,apply(w,w)),X4) = apply(apply(w,apply(X4,X4)),X4),
    inference(superposition,[],[f17,f16]) ).

fof(f90,plain,
    ! [X6,X5] : apply(apply(X5,apply(X6,X6)),X6) = apply(apply(w,apply(w,apply(b,X5))),X6),
    inference(superposition,[],[f2,f20]) ).

fof(f32857,plain,
    ( spl0_540
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32852,f6,f32854]) ).

fof(f32854,plain,
    ( spl0_540
  <=> apply(apply(w,apply(w,apply(w,strong_fixed_point))),w) = apply(apply(strong_fixed_point,w),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f32852,plain,
    ( apply(apply(w,apply(w,apply(w,strong_fixed_point))),w) = apply(apply(strong_fixed_point,w),w)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32738,f32467]) ).

fof(f32738,plain,
    ( apply(apply(w,apply(w,apply(w,strong_fixed_point))),w) = apply(apply(w,apply(strong_fixed_point,w)),w)
    | ~ spl0_1 ),
    inference(superposition,[],[f131,f32467]) ).

fof(f131,plain,
    ! [X6,X7] : apply(apply(w,apply(w,apply(X6,X7))),X7) = apply(apply(w,apply(w,apply(w,X6))),X7),
    inference(forward_demodulation,[],[f106,f16]) ).

fof(f106,plain,
    ! [X6,X7] : apply(apply(w,apply(w,apply(X6,X7))),X7) = apply(apply(apply(apply(w,X6),X7),X7),X7),
    inference(superposition,[],[f16,f2]) ).

fof(f32850,plain,
    ( spl0_539
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32845,f6,f32847]) ).

fof(f32847,plain,
    ( spl0_539
  <=> apply(strong_fixed_point,apply(apply(b,strong_fixed_point),apply(apply(w,w),apply(b,strong_fixed_point)))) = apply(apply(w,w),apply(b,strong_fixed_point)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f32845,plain,
    ( apply(strong_fixed_point,apply(apply(b,strong_fixed_point),apply(apply(w,w),apply(b,strong_fixed_point)))) = apply(apply(w,w),apply(b,strong_fixed_point))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32540,f1]) ).

fof(f32540,plain,
    ( apply(apply(apply(b,strong_fixed_point),apply(b,strong_fixed_point)),apply(apply(w,w),apply(b,strong_fixed_point))) = apply(apply(w,w),apply(b,strong_fixed_point))
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f25]) ).

fof(f25,plain,
    ! [X1] : apply(X1,apply(apply(b,X1),apply(b,X1))) = apply(apply(w,w),apply(b,X1)),
    inference(superposition,[],[f15,f1]) ).

fof(f32844,plain,
    ( spl0_538
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32554,f6,f32841]) ).

fof(f32554,plain,
    ( apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(apply(w,w),apply(b,w)))) = apply(strong_fixed_point,apply(apply(w,w),apply(b,w)))
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f10939]) ).

fof(f32838,plain,
    ( spl0_537
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32679,f6,f32835]) ).

fof(f32835,plain,
    ( spl0_537
  <=> apply(apply(apply(strong_fixed_point,apply(w,b)),apply(apply(strong_fixed_point,apply(w,b)),apply(strong_fixed_point,apply(w,b)))),apply(strong_fixed_point,apply(w,b))) = apply(apply(w,w),apply(strong_fixed_point,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f32679,plain,
    ( apply(apply(apply(strong_fixed_point,apply(w,b)),apply(apply(strong_fixed_point,apply(w,b)),apply(strong_fixed_point,apply(w,b)))),apply(strong_fixed_point,apply(w,b))) = apply(apply(w,w),apply(strong_fixed_point,apply(w,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f57,f32467]) ).

fof(f57,plain,
    ! [X3] : apply(apply(w,w),apply(apply(w,b),X3)) = apply(apply(X3,apply(X3,apply(apply(w,b),X3))),apply(apply(w,b),X3)),
    inference(superposition,[],[f15,f19]) ).

fof(f32833,plain,
    ( spl0_536
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32687,f6,f32830]) ).

fof(f32830,plain,
    ( spl0_536
  <=> apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(strong_fixed_point,apply(w,apply(w,b))))) = apply(apply(w,apply(strong_fixed_point,apply(w,apply(w,b)))),apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(strong_fixed_point,apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f32687,plain,
    ( apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(strong_fixed_point,apply(w,apply(w,b))))) = apply(apply(w,apply(strong_fixed_point,apply(w,apply(w,b)))),apply(apply(strong_fixed_point,apply(w,apply(w,b))),apply(strong_fixed_point,apply(w,apply(w,b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f162,f32467]) ).

fof(f162,plain,
    ! [X4] : apply(apply(apply(w,apply(w,b)),X4),apply(X4,X4)) = apply(apply(w,X4),apply(X4,X4)),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ! [X2] : apply(apply(w,apply(w,b)),X2) = apply(X2,apply(X2,X2)),
    inference(superposition,[],[f19,f2]) ).

fof(f32828,plain,
    ( spl0_535
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32823,f6,f32825]) ).

fof(f32825,plain,
    ( spl0_535
  <=> apply(strong_fixed_point,strong_fixed_point) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f32823,plain,
    ( apply(strong_fixed_point,strong_fixed_point) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32822,f162]) ).

fof(f32822,plain,
    ( apply(apply(apply(w,apply(w,b)),strong_fixed_point),apply(strong_fixed_point,strong_fixed_point)) = apply(strong_fixed_point,strong_fixed_point)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32821,f32467]) ).

fof(f32821,plain,
    ( apply(apply(apply(w,apply(w,b)),strong_fixed_point),apply(strong_fixed_point,apply(strong_fixed_point,strong_fixed_point))) = apply(strong_fixed_point,apply(strong_fixed_point,strong_fixed_point))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32531,f32467]) ).

fof(f32531,plain,
    ( apply(strong_fixed_point,apply(strong_fixed_point,apply(strong_fixed_point,strong_fixed_point))) = apply(apply(apply(w,apply(w,b)),strong_fixed_point),apply(strong_fixed_point,apply(strong_fixed_point,apply(strong_fixed_point,strong_fixed_point))))
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f4219]) ).

fof(f4219,plain,
    ! [X8] : apply(X8,apply(apply(w,apply(w,b)),X8)) = apply(X8,apply(X8,apply(X8,X8))),
    inference(superposition,[],[f1253,f2]) ).

fof(f1253,plain,
    ! [X2,X3] : apply(X2,apply(X2,apply(X2,X3))) = apply(X2,apply(apply(apply(w,b),X2),X3)),
    inference(superposition,[],[f51,f19]) ).

fof(f32820,plain,
    ( spl0_534
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32553,f6,f32817]) ).

fof(f32553,plain,
    ( apply(apply(w,apply(w,w)),apply(strong_fixed_point,apply(w,apply(w,apply(b,w))))) = apply(strong_fixed_point,apply(w,apply(w,apply(b,w))))
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f621]) ).

fof(f32815,plain,
    ( spl0_533
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32675,f6,f32812]) ).

fof(f32812,plain,
    ( spl0_533
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,w),b))))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f32675,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,w),b))))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f32467]) ).

fof(f5346,plain,
    ( ! [X10] : apply(strong_fixed_point,apply(b,apply(b,X10))) = apply(strong_fixed_point,apply(apply(apply(w,w),b),X10))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5283,f35]) ).

fof(f5283,plain,
    ( ! [X10] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,apply(b,apply(b,X10)))))) = apply(strong_fixed_point,apply(apply(apply(w,w),b),X10))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f1853]) ).

fof(f32808,plain,
    ( spl0_532
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32630,f6,f32805]) ).

fof(f32805,plain,
    ( spl0_532
  <=> apply(apply(w,w),apply(strong_fixed_point,b)) = apply(apply(strong_fixed_point,b),apply(apply(strong_fixed_point,b),apply(strong_fixed_point,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f32630,plain,
    ( apply(apply(w,w),apply(strong_fixed_point,b)) = apply(apply(strong_fixed_point,b),apply(apply(strong_fixed_point,b),apply(strong_fixed_point,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f25,f32467]) ).

fof(f32802,plain,
    ( spl0_531
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32569,f6,f32799]) ).

fof(f32799,plain,
    ( spl0_531
  <=> apply(apply(w,apply(b,apply(strong_fixed_point,strong_fixed_point))),strong_fixed_point) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f32569,plain,
    ( apply(apply(w,apply(b,apply(strong_fixed_point,strong_fixed_point))),strong_fixed_point) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point))
    | ~ spl0_1 ),
    inference(superposition,[],[f84,f32467]) ).

fof(f84,plain,
    ! [X6,X7] : apply(apply(w,apply(b,apply(X6,apply(X7,X7)))),X7) = apply(apply(w,X6),apply(X7,X7)),
    inference(superposition,[],[f20,f2]) ).

fof(f32797,plain,
    ( spl0_530
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32749,f6,f32794]) ).

fof(f32794,plain,
    ( spl0_530
  <=> apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w))) = apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(apply(w,w),apply(strong_fixed_point,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f32749,plain,
    ( apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w))) = apply(apply(apply(strong_fixed_point,w),apply(strong_fixed_point,w)),apply(apply(w,w),apply(strong_fixed_point,w)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1061,f32467]) ).

fof(f1061,plain,
    ! [X0] : apply(apply(X0,X0),apply(apply(w,w),X0)) = apply(apply(X0,X0),apply(apply(w,X0),X0)),
    inference(superposition,[],[f47,f45]) ).

fof(f32790,plain,
    ( spl0_529
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32670,f6,f32787]) ).

fof(f32787,plain,
    ( spl0_529
  <=> apply(apply(strong_fixed_point,apply(w,b)),apply(apply(w,strong_fixed_point),apply(w,b))) = apply(apply(strong_fixed_point,apply(w,b)),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f32670,plain,
    ( apply(apply(strong_fixed_point,apply(w,b)),apply(apply(w,strong_fixed_point),apply(w,b))) = apply(apply(strong_fixed_point,apply(w,b)),apply(w,b))
    | ~ spl0_1 ),
    inference(superposition,[],[f47,f32467]) ).

fof(f32785,plain,
    ( spl0_528
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32532,f6,f32782]) ).

fof(f32782,plain,
    ( spl0_528
  <=> apply(apply(strong_fixed_point,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point)) = apply(strong_fixed_point,strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f32532,plain,
    ( apply(apply(strong_fixed_point,strong_fixed_point),apply(strong_fixed_point,strong_fixed_point)) = apply(strong_fixed_point,strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f32467,f32467]) ).

fof(f32780,plain,
    ( spl0_527
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32686,f6,f32777]) ).

fof(f32777,plain,
    ( spl0_527
  <=> apply(apply(w,w),apply(apply(b,w),apply(b,apply(strong_fixed_point,apply(w,apply(b,b)))))) = apply(strong_fixed_point,apply(apply(strong_fixed_point,apply(w,apply(b,b))),apply(strong_fixed_point,apply(w,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f32686,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(b,apply(strong_fixed_point,apply(w,apply(b,b)))))) = apply(strong_fixed_point,apply(apply(strong_fixed_point,apply(w,apply(b,b))),apply(strong_fixed_point,apply(w,apply(b,b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f32467]) ).

fof(f265,plain,
    ( ! [X1] : apply(strong_fixed_point,apply(X1,X1)) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(b,b)),X1))))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f20]) ).

fof(f32775,plain,
    ( spl0_526
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32770,f6,f32772]) ).

fof(f32772,plain,
    ( spl0_526
  <=> apply(strong_fixed_point,apply(strong_fixed_point,b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f32770,plain,
    ( apply(strong_fixed_point,apply(strong_fixed_point,b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f32631,f32467]) ).

fof(f32631,plain,
    ( apply(strong_fixed_point,apply(strong_fixed_point,b)) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(strong_fixed_point,b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f32467]) ).

fof(f32769,plain,
    ( spl0_525
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32677,f6,f32766]) ).

fof(f32766,plain,
    ( spl0_525
  <=> apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(w,b),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,b),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f32677,plain,
    ( apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(w,b),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(strong_fixed_point,apply(apply(w,b),b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f32467]) ).

fof(f4482,plain,
    ( ! [X52] : apply(strong_fixed_point,apply(b,apply(b,X52))) = apply(strong_fixed_point,apply(apply(apply(w,b),b),X52))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f4306,f35]) ).

fof(f4306,plain,
    ( ! [X52] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,apply(b,apply(b,X52)))))) = apply(strong_fixed_point,apply(apply(apply(w,b),b),X52))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f1253]) ).

fof(f32758,plain,
    ( spl0_524
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f32739,f6,f32755]) ).

fof(f32755,plain,
    ( spl0_524
  <=> apply(apply(w,apply(w,strong_fixed_point)),w) = apply(apply(strong_fixed_point,w),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f32739,plain,
    ( apply(apply(w,apply(w,strong_fixed_point)),w) = apply(apply(strong_fixed_point,w),w)
    | ~ spl0_1 ),
    inference(superposition,[],[f122,f32467]) ).

fof(f32753,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f32524]) ).

fof(f32524,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f13,f32467]) ).

fof(f13,plain,
    ( apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_2
  <=> apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32514,plain,
    spl0_523,
    inference(avatar_split_clause,[],[f32509,f32511]) ).

fof(f32511,plain,
    ( spl0_523
  <=> apply(apply(w,apply(w,apply(w,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(b,apply(b,apply(apply(w,w),apply(apply(b,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f32509,plain,
    apply(apply(w,apply(w,apply(w,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(b,apply(b,apply(apply(w,w),apply(apply(b,b),b)))),
    inference(forward_demodulation,[],[f32508,f1]) ).

fof(f32508,plain,
    apply(apply(apply(b,b),b),apply(apply(w,w),apply(apply(b,b),b))) = apply(apply(w,apply(w,apply(w,apply(apply(b,b),b)))),apply(apply(b,b),b)),
    inference(forward_demodulation,[],[f32307,f3540]) ).

fof(f3540,plain,
    ! [X6,X7] : apply(apply(w,apply(w,apply(X6,X7))),X7) = apply(apply(w,apply(apply(w,X6),X7)),X7),
    inference(forward_demodulation,[],[f118,f17]) ).

fof(f118,plain,
    ! [X6,X7] : apply(apply(w,apply(w,apply(X6,X7))),X7) = apply(apply(apply(w,apply(w,X6)),X7),X7),
    inference(superposition,[],[f16,f16]) ).

fof(f32307,plain,
    apply(apply(apply(b,b),b),apply(apply(w,w),apply(apply(b,b),b))) = apply(apply(w,apply(apply(w,w),apply(apply(b,b),b))),apply(apply(b,b),b)),
    inference(superposition,[],[f3283,f23]) ).

fof(f32507,plain,
    spl0_522,
    inference(avatar_split_clause,[],[f32502,f32504]) ).

fof(f32504,plain,
    ( spl0_522
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f32502,plain,
    apply(apply(w,apply(w,apply(w,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b))),
    inference(forward_demodulation,[],[f32310,f3540]) ).

fof(f32310,plain,
    apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b))) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),apply(apply(w,b),b)),
    inference(superposition,[],[f3283,f57]) ).

fof(f32271,plain,
    ( spl0_521
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32125,f2466,f32268]) ).

fof(f32268,plain,
    ( spl0_521
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(apply(w,w),apply(b,b)),apply(apply(apply(w,w),apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f2466,plain,
    ( spl0_88
  <=> apply(apply(w,apply(apply(w,w),apply(b,b))),b) = apply(apply(w,w),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f32125,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(apply(w,w),apply(b,b)),apply(apply(apply(w,w),apply(b,b)),b))
    | ~ spl0_88 ),
    inference(superposition,[],[f236,f2468]) ).

fof(f2468,plain,
    ( apply(apply(w,apply(apply(w,w),apply(b,b))),b) = apply(apply(w,w),apply(b,b))
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f2466]) ).

fof(f236,plain,
    ! [X3,X4] : apply(apply(X3,X4),apply(apply(X3,X4),X4)) = apply(apply(w,apply(apply(b,apply(w,b)),X3)),X4),
    inference(superposition,[],[f22,f19]) ).

fof(f32266,plain,
    ( spl0_520
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32105,f2466,f32263]) ).

fof(f32263,plain,
    ( spl0_520
  <=> apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b)) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f32105,plain,
    ( apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b)) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b)))
    | ~ spl0_88 ),
    inference(superposition,[],[f51,f2468]) ).

fof(f32261,plain,
    ( spl0_519
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32103,f2466,f32258]) ).

fof(f32258,plain,
    ( spl0_519
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f32103,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f46,f2468]) ).

fof(f32256,plain,
    ( spl0_518
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32132,f2466,f32253]) ).

fof(f32253,plain,
    ( spl0_518
  <=> apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b)))) = apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f32132,plain,
    ( apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b)))) = apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b))
    | ~ spl0_88 ),
    inference(superposition,[],[f1253,f2468]) ).

fof(f32251,plain,
    ( spl0_517
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32102,f2466,f32248]) ).

fof(f32248,plain,
    ( spl0_517
  <=> apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f32102,plain,
    ( apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f19,f2468]) ).

fof(f32246,plain,
    ( spl0_516
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32111,f2466,f32243]) ).

fof(f32243,plain,
    ( spl0_516
  <=> apply(apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f32111,plain,
    ( apply(apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f107,f2468]) ).

fof(f107,plain,
    ! [X8,X9] : apply(apply(w,apply(w,apply(apply(w,b),X8))),X9) = apply(apply(apply(X8,apply(X8,X9)),X9),X9),
    inference(superposition,[],[f16,f19]) ).

fof(f32241,plain,
    ( spl0_515
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32129,f2466,f32238]) ).

fof(f32238,plain,
    ( spl0_515
  <=> apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(apply(w,w),apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f32129,plain,
    ( apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(apply(w,w),apply(b,b)))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f634,f2468]) ).

fof(f634,plain,
    ! [X4,X5] : apply(apply(apply(w,apply(w,apply(b,b))),X4),X5) = apply(apply(X4,X4),apply(X4,X5)),
    inference(superposition,[],[f1,f90]) ).

fof(f32236,plain,
    ( spl0_514
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32104,f2466,f32233]) ).

fof(f32233,plain,
    ( spl0_514
  <=> apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f32104,plain,
    ( apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,b))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f47,f2468]) ).

fof(f32231,plain,
    ( spl0_513
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32100,f2466,f32228]) ).

fof(f32228,plain,
    ( spl0_513
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b) = apply(apply(apply(w,w),apply(b,b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f32100,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b) = apply(apply(apply(w,w),apply(b,b)),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f2,f2468]) ).

fof(f32226,plain,
    ( spl0_512
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32133,f2466,f32223]) ).

fof(f32223,plain,
    ( spl0_512
  <=> apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f32133,plain,
    ( apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f4752,f2468]) ).

fof(f4752,plain,
    ! [X8,X9] : apply(apply(apply(apply(w,b),X8),X9),X9) = apply(apply(X8,apply(X8,X9)),X9),
    inference(superposition,[],[f232,f22]) ).

fof(f232,plain,
    ! [X36,X37] : apply(apply(apply(apply(w,b),X36),X37),X37) = apply(apply(w,apply(apply(b,X36),X36)),X37),
    inference(superposition,[],[f22,f19]) ).

fof(f32221,plain,
    ( spl0_511
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32131,f2466,f32218]) ).

fof(f32218,plain,
    ( spl0_511
  <=> apply(apply(apply(w,w),apply(b,b)),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f32131,plain,
    ( apply(apply(apply(w,w),apply(b,b)),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b))
    | ~ spl0_88 ),
    inference(superposition,[],[f1063,f2468]) ).

fof(f1063,plain,
    ! [X4,X5] : apply(apply(X4,X5),apply(apply(w,X4),X5)) = apply(apply(X4,X5),apply(apply(X4,X5),X5)),
    inference(superposition,[],[f47,f19]) ).

fof(f32216,plain,
    ( spl0_510
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32095,f2466,f32213]) ).

fof(f32213,plain,
    ( spl0_510
  <=> apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b) = apply(apply(apply(w,w),apply(b,b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f32095,plain,
    ( apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b) = apply(apply(apply(w,w),apply(b,b)),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f17,f2468]) ).

fof(f32211,plain,
    ( spl0_509
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32106,f2466,f32208]) ).

fof(f32208,plain,
    ( spl0_509
  <=> apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f32106,plain,
    ( apply(apply(apply(w,apply(apply(w,w),apply(b,b))),apply(apply(w,w),apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b))))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f56,f2468]) ).

fof(f56,plain,
    ! [X2,X1] : apply(apply(X1,apply(X1,X2)),X2) = apply(apply(w,apply(apply(w,b),X1)),X2),
    inference(superposition,[],[f2,f19]) ).

fof(f32206,plain,
    ( spl0_508
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32130,f2466,f32203]) ).

fof(f32203,plain,
    ( spl0_508
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f32130,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(apply(w,w),apply(b,b)),b)) = apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b))
    | ~ spl0_88 ),
    inference(superposition,[],[f840,f2468]) ).

fof(f840,plain,
    ! [X2,X3] : apply(apply(w,X2),apply(apply(w,X2),X3)) = apply(apply(w,X2),apply(apply(X2,X3),X3)),
    inference(superposition,[],[f46,f19]) ).

fof(f32201,plain,
    ( spl0_507
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32097,f2466,f32198]) ).

fof(f32198,plain,
    ( spl0_507
  <=> apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f32097,plain,
    ( apply(apply(apply(w,w),apply(b,b)),apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,b))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f190,f2468]) ).

fof(f32196,plain,
    ( spl0_506
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32117,f2466,f32193]) ).

fof(f32193,plain,
    ( spl0_506
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b)))))),b) = apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f32117,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b)))))),b) = apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f194,f2468]) ).

fof(f194,plain,
    ! [X3,X4] : apply(apply(w,apply(apply(X3,X4),X4)),X4) = apply(apply(w,apply(w,apply(w,X3))),X4),
    inference(forward_demodulation,[],[f187,f17]) ).

fof(f187,plain,
    ! [X3,X4] : apply(apply(apply(w,apply(X3,X4)),X4),X4) = apply(apply(w,apply(w,apply(w,X3))),X4),
    inference(superposition,[],[f16,f17]) ).

fof(f32191,plain,
    ( spl0_505
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32107,f2466,f32188]) ).

fof(f32188,plain,
    ( spl0_505
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b),apply(apply(w,w),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f32107,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),apply(b,b)))),b),apply(apply(w,w),apply(b,b)))
    | ~ spl0_88 ),
    inference(superposition,[],[f58,f2468]) ).

fof(f58,plain,
    ! [X0,X1] : apply(apply(w,X0),apply(X0,X1)) = apply(apply(apply(apply(w,b),X0),X1),apply(X0,X1)),
    inference(superposition,[],[f2,f19]) ).

fof(f32186,plain,
    ( spl0_504
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32114,f2466,f32183]) ).

fof(f32183,plain,
    ( spl0_504
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b)))))),b) = apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f32114,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b)))))),b) = apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f131,f2468]) ).

fof(f32181,plain,
    ( spl0_503
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32176,f2466,f32178]) ).

fof(f32178,plain,
    ( spl0_503
  <=> apply(apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f32176,plain,
    ( apply(apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)),b)
    | ~ spl0_88 ),
    inference(forward_demodulation,[],[f32116,f2468]) ).

fof(f32116,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b)),b) = apply(apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b),apply(apply(w,apply(apply(w,w),apply(b,b))),b))
    | ~ spl0_88 ),
    inference(superposition,[],[f190,f2468]) ).

fof(f32175,plain,
    ( spl0_502
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32115,f2466,f32172]) ).

fof(f32172,plain,
    ( spl0_502
  <=> apply(apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f32115,plain,
    ( apply(apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f133,f2468]) ).

fof(f133,plain,
    ! [X10,X11] : apply(apply(w,apply(w,apply(w,apply(w,X10)))),X11) = apply(apply(w,apply(w,apply(apply(X10,X11),X11))),X11),
    inference(forward_demodulation,[],[f108,f16]) ).

fof(f108,plain,
    ! [X10,X11] : apply(apply(apply(apply(w,apply(w,X10)),X11),X11),X11) = apply(apply(w,apply(w,apply(apply(X10,X11),X11))),X11),
    inference(superposition,[],[f16,f16]) ).

fof(f32170,plain,
    ( spl0_501
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32113,f2466,f32167]) ).

fof(f32167,plain,
    ( spl0_501
  <=> apply(apply(apply(apply(w,w),apply(b,b)),b),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b)) = apply(apply(apply(w,b),apply(apply(apply(w,w),apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f32113,plain,
    ( apply(apply(apply(apply(w,w),apply(b,b)),b),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b)) = apply(apply(apply(w,b),apply(apply(apply(w,w),apply(b,b)),b)),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f128,f2468]) ).

fof(f128,plain,
    ! [X3,X4] : apply(apply(apply(w,b),apply(apply(X3,X4),X4)),X4) = apply(apply(apply(X3,X4),X4),apply(apply(w,apply(w,X3)),X4)),
    inference(superposition,[],[f19,f16]) ).

fof(f32165,plain,
    ( spl0_500
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32160,f2466,f32162]) ).

fof(f32162,plain,
    ( spl0_500
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(w,w),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f32160,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(w,w),apply(b,b))
    | ~ spl0_88 ),
    inference(forward_demodulation,[],[f32112,f2468]) ).

fof(f32112,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f122,f2468]) ).

fof(f32159,plain,
    ( spl0_499
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32128,f2466,f32156]) ).

fof(f32156,plain,
    ( spl0_499
  <=> apply(apply(b,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(apply(w,w),apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f32128,plain,
    ( apply(apply(b,apply(w,apply(apply(w,w),apply(b,b)))),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(apply(w,w),apply(b,b)))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f551,f2468]) ).

fof(f551,plain,
    ! [X2,X3] : apply(apply(apply(w,apply(apply(w,b),b)),X2),X3) = apply(apply(b,X2),apply(X2,X3)),
    inference(superposition,[],[f1,f56]) ).

fof(f32154,plain,
    ( spl0_498
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32101,f2466,f32151]) ).

fof(f32151,plain,
    ( spl0_498
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(apply(apply(w,w),apply(b,b)),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f32101,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,b))))),b) = apply(apply(apply(apply(w,w),apply(b,b)),b),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f16,f2468]) ).

fof(f32149,plain,
    ( spl0_497
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32098,f2466,f32146]) ).

fof(f32146,plain,
    ( spl0_497
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f32098,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b)))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f195,f2468]) ).

fof(f195,plain,
    ! [X8,X7] : apply(apply(w,apply(w,apply(w,apply(X7,X8)))),X8) = apply(apply(w,apply(w,apply(apply(w,X7),X8))),X8),
    inference(forward_demodulation,[],[f189,f16]) ).

fof(f189,plain,
    ! [X8,X7] : apply(apply(apply(apply(w,apply(X7,X8)),X8),X8),X8) = apply(apply(w,apply(w,apply(apply(w,X7),X8))),X8),
    inference(superposition,[],[f16,f17]) ).

fof(f32144,plain,
    ( spl0_496
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32139,f2466,f32141]) ).

fof(f32141,plain,
    ( spl0_496
  <=> apply(apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b))),b) = apply(apply(w,w),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f32139,plain,
    ( apply(apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b))),b) = apply(apply(w,w),apply(b,b))
    | ~ spl0_88 ),
    inference(forward_demodulation,[],[f32099,f2468]) ).

fof(f32099,plain,
    ( apply(apply(w,apply(w,apply(apply(apply(w,w),apply(b,b)),b))),b) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f3540,f2468]) ).

fof(f32138,plain,
    ( spl0_495
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f32096,f2466,f32135]) ).

fof(f32135,plain,
    ( spl0_495
  <=> apply(apply(apply(apply(w,w),apply(b,b)),b),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(apply(apply(w,w),apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f32096,plain,
    ( apply(apply(apply(apply(w,w),apply(b,b)),b),apply(apply(w,w),apply(b,b))) = apply(apply(apply(w,b),apply(apply(apply(w,w),apply(b,b)),b)),b)
    | ~ spl0_88 ),
    inference(superposition,[],[f47,f2468]) ).

fof(f32088,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f32087,f31995]) ).

fof(f31995,plain,
    ( spl0_486
  <=> apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f32087,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f32086,f179]) ).

fof(f32086,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(forward_demodulation,[],[f31758,f17]) ).

fof(f31758,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),
    inference(superposition,[],[f51,f1900]) ).

fof(f1900,plain,
    ! [X2] : apply(apply(X2,X2),apply(X2,X2)) = apply(apply(w,apply(w,apply(w,apply(b,b)))),X2),
    inference(superposition,[],[f76,f122]) ).

fof(f76,plain,
    ! [X2,X3] : apply(apply(X2,X2),apply(X3,X3)) = apply(apply(w,apply(apply(w,apply(b,b)),X2)),X3),
    inference(superposition,[],[f20,f20]) ).

fof(f32085,plain,
    ( spl0_486
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f32084,f63,f31995]) ).

fof(f63,plain,
    ( spl0_4
  <=> apply(apply(w,b),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f32084,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f31771,f65]) ).

fof(f65,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(w,b))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f31771,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f19,f1900]) ).

fof(f32083,plain,
    spl0_494,
    inference(avatar_split_clause,[],[f31718,f32080]) ).

fof(f32080,plain,
    ( spl0_494
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f31718,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f1900,f621]) ).

fof(f32078,plain,
    ( spl0_486
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f32077,f63,f31995]) ).

fof(f32077,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f31742,f65]) ).

fof(f31742,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f1900,f19]) ).

fof(f32074,plain,
    spl0_493,
    inference(avatar_split_clause,[],[f32069,f32071]) ).

fof(f32071,plain,
    ( spl0_493
  <=> apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f32069,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f31767,f57]) ).

fof(f31767,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f4752,f1900]) ).

fof(f32065,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f32064,f31995]) ).

fof(f32064,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f31738,f179]) ).

fof(f31738,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(superposition,[],[f1900,f92]) ).

fof(f92,plain,
    ! [X2,X1] : apply(X1,apply(apply(w,apply(b,X1)),X2)) = apply(apply(apply(w,b),X1),apply(X2,X2)),
    inference(superposition,[],[f19,f20]) ).

fof(f32063,plain,
    spl0_492,
    inference(avatar_split_clause,[],[f31717,f32060]) ).

fof(f32060,plain,
    ( spl0_492
  <=> apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f31717,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f1900,f128]) ).

fof(f32053,plain,
    spl0_483,
    inference(avatar_split_clause,[],[f32052,f31973]) ).

fof(f31973,plain,
    ( spl0_483
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f32052,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f32051,f179]) ).

fof(f32051,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f31710,f17]) ).

fof(f31710,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f1900,f51]) ).

fof(f32044,plain,
    ( spl0_491
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f32039,f63,f32041]) ).

fof(f32041,plain,
    ( spl0_491
  <=> apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f32039,plain,
    ( apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f31770,f65]) ).

fof(f31770,plain,
    apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f58,f1900]) ).

fof(f32038,plain,
    spl0_490,
    inference(avatar_split_clause,[],[f32033,f32035]) ).

fof(f32035,plain,
    ( spl0_490
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f32033,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f31766,f17]) ).

fof(f31766,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)))),
    inference(superposition,[],[f44,f1900]) ).

fof(f44,plain,
    ! [X3,X4] : apply(apply(apply(w,b),apply(apply(w,b),X3)),X4) = apply(X3,apply(X3,apply(apply(apply(w,b),X3),X4))),
    inference(superposition,[],[f19,f19]) ).

fof(f32029,plain,
    spl0_489,
    inference(avatar_split_clause,[],[f31773,f32026]) ).

fof(f32026,plain,
    ( spl0_489
  <=> apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,apply(b,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f31773,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,apply(b,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,apply(w,b))))),
    inference(superposition,[],[f97,f1900]) ).

fof(f97,plain,
    ! [X11,X12] : apply(apply(apply(w,apply(b,apply(w,b))),X11),X12) = apply(apply(X11,X11),apply(apply(X11,X11),X12)),
    inference(superposition,[],[f19,f20]) ).

fof(f32020,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f32019,f31995]) ).

fof(f32019,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f32018,f179]) ).

fof(f32018,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(forward_demodulation,[],[f31735,f17]) ).

fof(f31735,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),
    inference(superposition,[],[f1900,f51]) ).

fof(f32016,plain,
    ( spl0_488
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f32011,f63,f32013]) ).

fof(f32013,plain,
    ( spl0_488
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f32011,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f31769,f65]) ).

fof(f31769,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))) = apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b))),
    inference(superposition,[],[f1253,f1900]) ).

fof(f32008,plain,
    spl0_487,
    inference(avatar_split_clause,[],[f31719,f32005]) ).

fof(f32005,plain,
    ( spl0_487
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f31719,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f1900,f10939]) ).

fof(f31998,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f31993,f31995]) ).

fof(f31993,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f31759,f179]) ).

fof(f31759,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(superposition,[],[f92,f1900]) ).

fof(f31992,plain,
    spl0_485,
    inference(avatar_split_clause,[],[f31774,f31989]) ).

fof(f31989,plain,
    ( spl0_485
  <=> apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,w))),apply(apply(w,apply(b,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,w)))),apply(apply(w,apply(b,w)),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f31774,plain,
    apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,w))),apply(apply(w,apply(b,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(b,w)))),apply(apply(w,apply(b,w)),apply(w,apply(b,w)))),
    inference(superposition,[],[f170,f1900]) ).

fof(f170,plain,
    ! [X2,X3] : apply(apply(apply(apply(w,apply(b,w)),X2),X3),X3) = apply(apply(w,apply(apply(X2,X2),X3)),X3),
    inference(superposition,[],[f17,f20]) ).

fof(f31986,plain,
    spl0_484,
    inference(avatar_split_clause,[],[f31768,f31983]) ).

fof(f31983,plain,
    ( spl0_484
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f31768,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f232,f1900]) ).

fof(f31981,plain,
    spl0_481,
    inference(avatar_split_clause,[],[f31761,f31935]) ).

fof(f31935,plain,
    ( spl0_481
  <=> apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f31761,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f162,f1900]) ).

fof(f31976,plain,
    spl0_483,
    inference(avatar_split_clause,[],[f31971,f31973]) ).

fof(f31971,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f31713,f179]) ).

fof(f31713,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f1900,f92]) ).

fof(f31965,plain,
    spl0_482,
    inference(avatar_split_clause,[],[f31711,f31962]) ).

fof(f31962,plain,
    ( spl0_482
  <=> apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f31711,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f1900,f162]) ).

fof(f31938,plain,
    spl0_481,
    inference(avatar_split_clause,[],[f31736,f31935]) ).

fof(f31736,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f1900,f162]) ).

fof(f31669,plain,
    ( spl0_480
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f31111,f63,f31666]) ).

fof(f31666,plain,
    ( spl0_480
  <=> apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f31111,plain,
    ( apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(superposition,[],[f1063,f65]) ).

fof(f31624,plain,
    ( spl0_479
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f31619,f300,f31621]) ).

fof(f31621,plain,
    ( spl0_479
  <=> apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))) = apply(b,apply(apply(b,b),apply(b,apply(apply(b,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f300,plain,
    ( spl0_11
  <=> apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f31619,plain,
    ( apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))) = apply(b,apply(apply(b,b),apply(b,apply(apply(b,b),b))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f31618,f1]) ).

fof(f31618,plain,
    ( apply(b,apply(apply(b,b),apply(apply(apply(b,b),apply(b,b)),b))) = apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f31617,f1]) ).

fof(f31617,plain,
    ( apply(b,apply(apply(b,b),apply(apply(apply(b,b),apply(b,b)),b))) = apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f31080,f1]) ).

fof(f31080,plain,
    ( apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(apply(b,b),apply(b,b)),b))
    | ~ spl0_11 ),
    inference(superposition,[],[f1063,f302]) ).

fof(f302,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f31589,plain,
    spl0_472,
    inference(avatar_split_clause,[],[f31588,f31427]) ).

fof(f31427,plain,
    ( spl0_472
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f31588,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31587,f621]) ).

fof(f31587,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31296,f621]) ).

fof(f31296,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(superposition,[],[f621,f1063]) ).

fof(f31565,plain,
    ( spl0_478
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f31092,f6,f31562]) ).

fof(f31562,plain,
    ( spl0_478
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f31092,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1063,f8]) ).

fof(f31554,plain,
    spl0_477,
    inference(avatar_split_clause,[],[f31204,f31551]) ).

fof(f31551,plain,
    ( spl0_477
  <=> apply(apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,b),b)))),apply(apply(w,b),apply(apply(w,b),b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f31204,plain,
    apply(apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,b),b)))),apply(apply(w,b),apply(apply(w,b),b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),b))),
    inference(superposition,[],[f57,f1063]) ).

fof(f31524,plain,
    ( spl0_476
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f31121,f8900,f31521]) ).

fof(f31521,plain,
    ( spl0_476
  <=> apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f31121,plain,
    ( apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_171 ),
    inference(superposition,[],[f1063,f8902]) ).

fof(f31513,plain,
    spl0_472,
    inference(avatar_split_clause,[],[f31512,f31427]) ).

fof(f31512,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31511,f621]) ).

fof(f31511,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31167,f621]) ).

fof(f31167,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(superposition,[],[f1063,f621]) ).

fof(f31497,plain,
    ( spl0_475
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f31294,f6,f31494]) ).

fof(f31494,plain,
    ( spl0_475
  <=> apply(strong_fixed_point,apply(apply(apply(w,apply(b,b)),apply(b,b)),apply(apply(w,apply(b,b)),apply(b,b)))) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(b,b)),apply(apply(w,w),apply(b,b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f31294,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,apply(b,b)),apply(b,b)),apply(apply(w,apply(b,b)),apply(b,b)))) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(b,b)),apply(apply(w,w),apply(b,b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f1063]) ).

fof(f31487,plain,
    spl0_474,
    inference(avatar_split_clause,[],[f31295,f31484]) ).

fof(f31484,plain,
    ( spl0_474
  <=> apply(apply(w,apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f31295,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))),
    inference(superposition,[],[f162,f1063]) ).

fof(f31452,plain,
    ( spl0_473
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f31447,f142,f6,f31449]) ).

fof(f31449,plain,
    ( spl0_473
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f142,plain,
    ( spl0_7
  <=> apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f31447,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b))))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f31446,f144]) ).

fof(f144,plain,
    ( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f31446,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,w)),b)))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f31445,f4482]) ).

fof(f31445,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,w)),b)))) = apply(strong_fixed_point,apply(apply(apply(w,b),b),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f31293,f16]) ).

fof(f31293,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),b),apply(apply(w,apply(w,b)),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f1063]) ).

fof(f31430,plain,
    spl0_472,
    inference(avatar_split_clause,[],[f31425,f31427]) ).

fof(f31425,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31424,f621]) ).

fof(f31424,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f31125,f621]) ).

fof(f31125,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(superposition,[],[f1063,f621]) ).

fof(f30945,plain,
    spl0_471,
    inference(avatar_split_clause,[],[f30661,f30942]) ).

fof(f30942,plain,
    ( spl0_471
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,apply(w,b)),w))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(apply(w,apply(w,b)),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f30661,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,apply(w,b)),w))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(apply(w,apply(w,b)),w))),
    inference(superposition,[],[f1062,f4219]) ).

fof(f30932,plain,
    spl0_463,
    inference(avatar_split_clause,[],[f30931,f30822]) ).

fof(f30822,plain,
    ( spl0_463
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f30931,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30930,f621]) ).

fof(f30930,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30929,f344]) ).

fof(f30929,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(b,w),apply(w,apply(b,w)))),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30653,f17]) ).

fof(f30653,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(w,apply(b,w)))),
    inference(superposition,[],[f1062,f621]) ).

fof(f30925,plain,
    spl0_470,
    inference(avatar_split_clause,[],[f30920,f30922]) ).

fof(f30922,plain,
    ( spl0_470
  <=> apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f30920,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30919,f3540]) ).

fof(f30919,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30616,f17]) ).

fof(f30616,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f1062,f10939]) ).

fof(f30918,plain,
    spl0_469,
    inference(avatar_split_clause,[],[f30913,f30915]) ).

fof(f30915,plain,
    ( spl0_469
  <=> apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f30913,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f30912,f195]) ).

fof(f30912,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f30911,f3540]) ).

fof(f30911,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f30608,f17]) ).

fof(f30608,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f1062,f162]) ).

fof(f30906,plain,
    spl0_468,
    inference(avatar_split_clause,[],[f30901,f30903]) ).

fof(f30903,plain,
    ( spl0_468
  <=> apply(apply(w,apply(w,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f30901,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30900,f10939]) ).

fof(f30900,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30899,f25]) ).

fof(f30899,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30898,f344]) ).

fof(f30898,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(b,w),apply(apply(b,w),apply(b,w)))),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30897,f1]) ).

fof(f30897,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(apply(b,w),apply(b,w)),apply(apply(b,w),apply(b,w))),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30669,f10939]) ).

fof(f30669,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(apply(apply(apply(b,w),apply(b,w)),apply(apply(b,w),apply(b,w))),apply(apply(b,w),apply(b,w)))),
    inference(superposition,[],[f1062,f25]) ).

fof(f30884,plain,
    spl0_467,
    inference(avatar_split_clause,[],[f30614,f30881]) ).

fof(f30881,plain,
    ( spl0_467
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f30614,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))),
    inference(superposition,[],[f1062,f128]) ).

fof(f30869,plain,
    spl0_466,
    inference(avatar_split_clause,[],[f30755,f30866]) ).

fof(f30866,plain,
    ( spl0_466
  <=> apply(apply(w,w),apply(apply(w,b),apply(apply(b,b),b))) = apply(apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(b,b),b)))),apply(apply(w,b),apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f30755,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(b,b),b))) = apply(apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(b,b),b)))),apply(apply(w,b),apply(apply(b,b),b))),
    inference(superposition,[],[f57,f1062]) ).

fof(f30856,plain,
    spl0_464,
    inference(avatar_split_clause,[],[f30855,f30829]) ).

fof(f30829,plain,
    ( spl0_464
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f30855,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30610,f179]) ).

fof(f30610,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f1062,f92]) ).

fof(f30839,plain,
    spl0_465,
    inference(avatar_split_clause,[],[f30834,f30836]) ).

fof(f30836,plain,
    ( spl0_465
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f30834,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f30833,f3540]) ).

fof(f30833,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f30615,f17]) ).

fof(f30615,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f1062,f621]) ).

fof(f30832,plain,
    spl0_464,
    inference(avatar_split_clause,[],[f30827,f30829]) ).

fof(f30827,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30826,f179]) ).

fof(f30826,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30607,f17]) ).

fof(f30607,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f1062,f51]) ).

fof(f30825,plain,
    spl0_463,
    inference(avatar_split_clause,[],[f30820,f30822]) ).

fof(f30820,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30819,f621]) ).

fof(f30819,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30818,f344]) ).

fof(f30818,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(b,w),apply(w,apply(b,w)))),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30683,f17]) ).

fof(f30683,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(w,apply(b,w)))),
    inference(superposition,[],[f621,f1062]) ).

fof(f30595,plain,
    spl0_462,
    inference(avatar_split_clause,[],[f30271,f30592]) ).

fof(f30592,plain,
    ( spl0_462
  <=> apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,w),apply(apply(w,apply(w,b)),w))) = apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,b)),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f30271,plain,
    apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,w),apply(apply(w,apply(w,b)),w))) = apply(apply(apply(apply(w,apply(w,b)),w),apply(apply(w,apply(w,b)),w)),apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,b)),w))),
    inference(superposition,[],[f1061,f4219]) ).

fof(f30585,plain,
    spl0_461,
    inference(avatar_split_clause,[],[f30580,f30582]) ).

fof(f30582,plain,
    ( spl0_461
  <=> apply(apply(w,w),apply(apply(b,b),apply(apply(w,b),b))) = apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(w,b),b))))),apply(apply(b,b),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f30580,plain,
    apply(apply(w,w),apply(apply(b,b),apply(apply(w,b),b))) = apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(w,b),b))))),apply(apply(b,b),apply(apply(w,b),b))),
    inference(forward_demodulation,[],[f30323,f1853]) ).

fof(f30323,plain,
    apply(apply(w,w),apply(apply(b,b),apply(apply(w,b),b))) = apply(apply(b,apply(apply(apply(w,w),b),apply(apply(b,b),apply(apply(w,b),b)))),apply(apply(b,b),apply(apply(w,b),b))),
    inference(superposition,[],[f23,f1061]) ).

fof(f30567,plain,
    spl0_460,
    inference(avatar_split_clause,[],[f30248,f30564]) ).

fof(f30564,plain,
    ( spl0_460
  <=> apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f30248,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f1061,f162]) ).

fof(f30562,plain,
    spl0_459,
    inference(avatar_split_clause,[],[f30389,f30559]) ).

fof(f30559,plain,
    ( spl0_459
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f30389,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))),
    inference(superposition,[],[f232,f1061]) ).

fof(f30557,plain,
    spl0_458,
    inference(avatar_split_clause,[],[f30552,f30554]) ).

fof(f30554,plain,
    ( spl0_458
  <=> apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f30552,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30551,f25]) ).

fof(f30551,plain,
    apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(w,apply(w,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30550,f10939]) ).

fof(f30550,plain,
    apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30549,f344]) ).

fof(f30549,plain,
    apply(apply(w,apply(apply(b,w),apply(apply(b,w),apply(b,w)))),apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30548,f25]) ).

fof(f30548,plain,
    apply(apply(w,apply(apply(b,w),apply(apply(b,w),apply(b,w)))),apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30547,f344]) ).

fof(f30547,plain,
    apply(apply(w,apply(apply(b,w),apply(apply(b,w),apply(b,w)))),apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(w,apply(apply(b,w),apply(apply(b,w),apply(b,w)))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(forward_demodulation,[],[f30279,f1]) ).

fof(f30279,plain,
    apply(apply(apply(apply(b,w),apply(b,w)),apply(apply(b,w),apply(b,w))),apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w)))) = apply(apply(apply(apply(b,w),apply(b,w)),apply(apply(b,w),apply(b,w))),apply(apply(w,w),apply(apply(b,w),apply(b,w)))),
    inference(superposition,[],[f1061,f25]) ).

fof(f30545,plain,
    spl0_457,
    inference(avatar_split_clause,[],[f30288,f30542]) ).

fof(f30542,plain,
    ( spl0_457
  <=> apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f30288,plain,
    apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))) = apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),
    inference(superposition,[],[f1061,f621]) ).

fof(f30540,plain,
    spl0_456,
    inference(avatar_split_clause,[],[f30254,f30537]) ).

fof(f30537,plain,
    ( spl0_456
  <=> apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f30254,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w)))),
    inference(superposition,[],[f1061,f128]) ).

fof(f30534,plain,
    spl0_455,
    inference(avatar_split_clause,[],[f30255,f30531]) ).

fof(f30531,plain,
    ( spl0_455
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f30255,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f1061,f621]) ).

fof(f30529,plain,
    spl0_454,
    inference(avatar_split_clause,[],[f30388,f30526]) ).

fof(f30526,plain,
    ( spl0_454
  <=> apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f30388,plain,
    apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,b))),
    inference(superposition,[],[f4752,f1061]) ).

fof(f30524,plain,
    spl0_453,
    inference(avatar_split_clause,[],[f30327,f30521]) ).

fof(f30521,plain,
    ( spl0_453
  <=> apply(apply(apply(w,apply(b,w)),apply(b,b)),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,b),apply(apply(w,b),b))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f30327,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,b)),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,b),apply(apply(w,b),b))),apply(apply(w,w),b)),
    inference(superposition,[],[f204,f1061]) ).

fof(f30516,plain,
    spl0_452,
    inference(avatar_split_clause,[],[f30391,f30513]) ).

fof(f30513,plain,
    ( spl0_452
  <=> apply(apply(w,apply(w,b)),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f30391,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))),
    inference(superposition,[],[f58,f1061]) ).

fof(f30503,plain,
    ( spl0_451
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f30498,f63,f30500]) ).

fof(f30500,plain,
    ( spl0_451
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f30498,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f30387,f65]) ).

fof(f30387,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))),
    inference(superposition,[],[f44,f1061]) ).

fof(f30497,plain,
    spl0_450,
    inference(avatar_split_clause,[],[f30492,f30494]) ).

fof(f30494,plain,
    ( spl0_450
  <=> apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f30492,plain,
    apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30395,f621]) ).

fof(f30395,plain,
    apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))),
    inference(superposition,[],[f170,f1061]) ).

fof(f30491,plain,
    spl0_449,
    inference(avatar_split_clause,[],[f30256,f30488]) ).

fof(f30488,plain,
    ( spl0_449
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f30256,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f1061,f10939]) ).

fof(f30486,plain,
    spl0_446,
    inference(avatar_split_clause,[],[f30392,f30459]) ).

fof(f30459,plain,
    ( spl0_446
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f30392,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f19,f1061]) ).

fof(f30479,plain,
    spl0_448,
    inference(avatar_split_clause,[],[f30390,f30476]) ).

fof(f30476,plain,
    ( spl0_448
  <=> apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))) = apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f30390,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))) = apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))),
    inference(superposition,[],[f1253,f1061]) ).

fof(f30473,plain,
    spl0_447,
    inference(avatar_split_clause,[],[f30472,f30465]) ).

fof(f30465,plain,
    ( spl0_447
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f30472,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30471,f179]) ).

fof(f30471,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30247,f17]) ).

fof(f30247,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f1061,f51]) ).

fof(f30468,plain,
    spl0_447,
    inference(avatar_split_clause,[],[f30463,f30465]) ).

fof(f30463,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f30250,f179]) ).

fof(f30250,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f1061,f92]) ).

fof(f30462,plain,
    spl0_446,
    inference(avatar_split_clause,[],[f30305,f30459]) ).

fof(f30305,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f1061,f19]) ).

fof(f30232,plain,
    spl0_445,
    inference(avatar_split_clause,[],[f30227,f30229]) ).

fof(f30229,plain,
    ( spl0_445
  <=> apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f30227,plain,
    apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f30226,f195]) ).

fof(f30226,plain,
    apply(apply(w,w),apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f30225,f3540]) ).

fof(f30225,plain,
    apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f29994,f17]) ).

fof(f29994,plain,
    apply(apply(w,w),apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f881,f162]) ).

fof(f881,plain,
    ! [X1] : apply(apply(w,w),apply(apply(X1,X1),X1)) = apply(apply(apply(w,b),apply(w,w)),X1),
    inference(superposition,[],[f46,f2]) ).

fof(f30224,plain,
    spl0_442,
    inference(avatar_split_clause,[],[f30223,f30175]) ).

fof(f30175,plain,
    ( spl0_442
  <=> apply(apply(w,w),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f30223,plain,
    apply(apply(w,w),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f30222,f179]) ).

fof(f30222,plain,
    apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f29993,f17]) ).

fof(f29993,plain,
    apply(apply(w,w),apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f881,f51]) ).

fof(f30218,plain,
    spl0_444,
    inference(avatar_split_clause,[],[f30213,f30215]) ).

fof(f30215,plain,
    ( spl0_444
  <=> apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(apply(apply(w,b),apply(w,w)),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f30213,plain,
    apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(apply(apply(w,b),apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f30212,f3540]) ).

fof(f30212,plain,
    apply(apply(w,w),apply(apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(apply(apply(w,b),apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f30211,f17]) ).

fof(f30211,plain,
    apply(apply(w,w),apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(apply(apply(w,b),apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f30002,f51]) ).

fof(f30002,plain,
    apply(apply(w,w),apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f881,f10939]) ).

fof(f30185,plain,
    spl0_443,
    inference(avatar_split_clause,[],[f30180,f30182]) ).

fof(f30182,plain,
    ( spl0_443
  <=> apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f30180,plain,
    apply(apply(w,w),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30179,f3540]) ).

fof(f30179,plain,
    apply(apply(w,w),apply(apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f30001,f17]) ).

fof(f30001,plain,
    apply(apply(w,w),apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f881,f621]) ).

fof(f30178,plain,
    spl0_442,
    inference(avatar_split_clause,[],[f30173,f30175]) ).

fof(f30173,plain,
    apply(apply(w,w),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f29996,f179]) ).

fof(f29996,plain,
    apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f881,f92]) ).

fof(f30164,plain,
    spl0_441,
    inference(avatar_split_clause,[],[f30000,f30161]) ).

fof(f30161,plain,
    ( spl0_441
  <=> apply(apply(w,w),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f30000,plain,
    apply(apply(w,w),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f881,f128]) ).

fof(f29978,plain,
    spl0_440,
    inference(avatar_split_clause,[],[f29580,f29975]) ).

fof(f29975,plain,
    ( spl0_440
  <=> apply(b,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,b)),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f29580,plain,
    apply(b,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,b)),b)))),
    inference(superposition,[],[f1853,f190]) ).

fof(f29964,plain,
    ( spl0_439
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f29581,f6,f29961]) ).

fof(f29961,plain,
    ( spl0_439
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(b,b)),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f29581,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(b,b)),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f190]) ).

fof(f29950,plain,
    ( spl0_438
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f29945,f300,f29947]) ).

fof(f29947,plain,
    ( spl0_438
  <=> apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b))) = apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f29945,plain,
    ( apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b))) = apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29944,f195]) ).

fof(f29944,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(apply(w,apply(w,w)),b))),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29943,f3540]) ).

fof(f29943,plain,
    ( apply(b,apply(apply(b,b),apply(apply(w,apply(apply(w,apply(w,apply(w,w))),b)),b))) = apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29294,f1]) ).

fof(f29294,plain,
    ( apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(apply(w,apply(w,apply(w,w))),b)),b)) = apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f190,f302]) ).

fof(f29922,plain,
    spl0_437,
    inference(avatar_split_clause,[],[f29554,f29919]) ).

fof(f29919,plain,
    ( spl0_437
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f29554,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))),
    inference(superposition,[],[f190,f57]) ).

fof(f29897,plain,
    ( spl0_436
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f29484,f63,f29894]) ).

fof(f29894,plain,
    ( spl0_436
  <=> apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f29484,plain,
    ( apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f190,f65]) ).

fof(f29888,plain,
    ( spl0_435
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f29883,f300,f294,f29885]) ).

fof(f29885,plain,
    ( spl0_435
  <=> apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(apply(b,apply(b,b)),b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f294,plain,
    ( spl0_10
  <=> apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,w))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f29883,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(apply(b,apply(b,b)),b)),b)))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29882,f1]) ).

fof(f29882,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(apply(b,apply(b,b)),b)),b))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29458,f302]) ).

fof(f29458,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(w,w)))),b)),b) = apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),b),apply(apply(w,apply(apply(b,apply(b,b)),b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f190,f296]) ).

fof(f296,plain,
    ( apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,w))),b)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f29846,plain,
    spl0_434,
    inference(avatar_split_clause,[],[f29496,f29843]) ).

fof(f29843,plain,
    ( spl0_434
  <=> apply(apply(apply(w,apply(w,apply(w,b))),w),apply(apply(w,apply(w,apply(w,w))),w)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),w)),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f29496,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),w),apply(apply(w,apply(w,apply(w,w))),w)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),w)),w),
    inference(superposition,[],[f190,f4219]) ).

fof(f29837,plain,
    ( spl0_433
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f29471,f6,f29834]) ).

fof(f29834,plain,
    ( spl0_433
  <=> apply(apply(apply(w,b),apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))),apply(apply(b,b),b)) = apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(w,strong_fixed_point),apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f29471,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))),apply(apply(b,b),b)) = apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(w,strong_fixed_point),apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f190,f8]) ).

fof(f29832,plain,
    spl0_432,
    inference(avatar_split_clause,[],[f29827,f29829]) ).

fof(f29829,plain,
    ( spl0_432
  <=> apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f29827,plain,
    apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f29308,f3540]) ).

fof(f29308,plain,
    apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(superposition,[],[f190,f57]) ).

fof(f29826,plain,
    ( spl0_431
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f29493,f8900,f29823]) ).

fof(f29823,plain,
    ( spl0_431
  <=> apply(apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f29493,plain,
    ( apply(apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f190,f8902]) ).

fof(f29810,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f29809,f11512]) ).

fof(f11512,plain,
    ( spl0_246
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f29809,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f29566,f621]) ).

fof(f29566,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(b,w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)),
    inference(superposition,[],[f190,f10939]) ).

fof(f29791,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f29790,f11512]) ).

fof(f29790,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f29578,f621]) ).

fof(f29578,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(b,w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)),
    inference(superposition,[],[f10939,f190]) ).

fof(f29787,plain,
    ( spl0_430
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f29782,f294,f142,f29784]) ).

fof(f29784,plain,
    ( spl0_430
  <=> apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(w,apply(b,apply(apply(b,apply(b,b)),b))),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f29782,plain,
    ( apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(w,apply(b,apply(apply(b,apply(b,b)),b))),apply(b,b))
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29781,f296]) ).

fof(f29781,plain,
    ( apply(apply(w,apply(b,apply(apply(w,apply(w,apply(w,w))),b))),apply(b,b)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,w))),b)),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f29457,f81]) ).

fof(f81,plain,
    ! [X10,X11] : apply(apply(w,apply(b,X11)),apply(X10,X10)) = apply(X11,apply(apply(w,apply(b,apply(X10,X10))),X10)),
    inference(superposition,[],[f20,f20]) ).

fof(f29457,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,w))),b)),b) = apply(apply(apply(w,apply(w,apply(w,w))),b),apply(apply(w,apply(b,apply(b,b))),b))
    | ~ spl0_7 ),
    inference(superposition,[],[f190,f144]) ).

fof(f29764,plain,
    ( spl0_429
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f29579,f6,f29761]) ).

fof(f29761,plain,
    ( spl0_429
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f29579,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f190]) ).

fof(f29755,plain,
    ( spl0_428
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f29750,f142,f29752]) ).

fof(f29752,plain,
    ( spl0_428
  <=> apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,b))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f29750,plain,
    ( apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,b))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f29292,f3540]) ).

fof(f29292,plain,
    ( apply(apply(b,apply(b,b)),apply(apply(w,apply(apply(w,w),b)),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f190,f144]) ).

fof(f29736,plain,
    ( spl0_427
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f29731,f294,f29733]) ).

fof(f29733,plain,
    ( spl0_427
  <=> apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(w,apply(w,b)))),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f29731,plain,
    ( apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(w,apply(w,b)))),b)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29730,f195]) ).

fof(f29730,plain,
    ( apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(apply(w,w),b))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29729,f3540]) ).

fof(f29729,plain,
    ( apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(b,b),apply(b,apply(apply(w,apply(apply(w,apply(w,w)),b)),b)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29293,f1]) ).

fof(f29293,plain,
    ( apply(apply(apply(b,apply(b,b)),b),apply(apply(w,apply(apply(w,apply(w,w)),b)),b)) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f190,f296]) ).

fof(f29704,plain,
    ( spl0_426
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f29305,f63,f29701]) ).

fof(f29701,plain,
    ( spl0_426
  <=> apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f29305,plain,
    ( apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f190,f65]) ).

fof(f29682,plain,
    ( spl0_425
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f29677,f300,f29679]) ).

fof(f29679,plain,
    ( spl0_425
  <=> apply(apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b),apply(apply(b,apply(apply(w,b),b)),b)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f29677,plain,
    ( apply(apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b),apply(apply(b,apply(apply(w,b),b)),b)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29459,f212]) ).

fof(f212,plain,
    ! [X14,X12,X13] : apply(apply(w,apply(apply(b,X14),apply(X12,X13))),X13) = apply(apply(X14,apply(apply(w,X12),X13)),X13),
    inference(superposition,[],[f22,f2]) ).

fof(f29459,plain,
    ( apply(apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b),apply(apply(w,apply(apply(b,b),apply(b,b))),b)) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f190,f302]) ).

fof(f29671,plain,
    spl0_120,
    inference(avatar_split_clause,[],[f29513,f3975]) ).

fof(f3975,plain,
    ( spl0_120
  <=> apply(apply(apply(w,w),b),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,w),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f29513,plain,
    apply(apply(apply(w,w),b),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,w),b)),b),
    inference(superposition,[],[f190,f43]) ).

fof(f29173,plain,
    ( spl0_424
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f29168,f300,f29170]) ).

fof(f29170,plain,
    ( spl0_424
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(b,apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f29168,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(b,apply(apply(b,b),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f28751,f1]) ).

fof(f28751,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(apply(b,b),apply(b,b)),b))
    | ~ spl0_11 ),
    inference(superposition,[],[f840,f302]) ).

fof(f29142,plain,
    spl0_423,
    inference(avatar_split_clause,[],[f28788,f29139]) ).

fof(f29139,plain,
    ( spl0_423
  <=> apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,w),apply(apply(w,w),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f28788,plain,
    apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,w),apply(apply(w,w),apply(w,apply(b,w)))),
    inference(superposition,[],[f840,f621]) ).

fof(f29109,plain,
    ( spl0_356
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f29108,f63,f27064]) ).

fof(f27064,plain,
    ( spl0_356
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f29108,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f28933,f65]) ).

fof(f28933,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b))),
    inference(superposition,[],[f23,f840]) ).

fof(f29072,plain,
    spl0_422,
    inference(avatar_split_clause,[],[f29067,f29069]) ).

fof(f29069,plain,
    ( spl0_422
  <=> apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f29067,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f28937,f45]) ).

fof(f28937,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)),
    inference(superposition,[],[f204,f840]) ).

fof(f29057,plain,
    spl0_421,
    inference(avatar_split_clause,[],[f28938,f29054]) ).

fof(f29054,plain,
    ( spl0_421
  <=> apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f28938,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f44,f840]) ).

fof(f29030,plain,
    ( spl0_420
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f28763,f6,f29027]) ).

fof(f29027,plain,
    ( spl0_420
  <=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f28763,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f840,f8]) ).

fof(f29016,plain,
    ( spl0_419
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f28776,f63,f29013]) ).

fof(f29013,plain,
    ( spl0_419
  <=> apply(apply(w,apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f28776,plain,
    ( apply(apply(w,apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(superposition,[],[f840,f65]) ).

fof(f29002,plain,
    ( spl0_418
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f28784,f8900,f28999]) ).

fof(f28999,plain,
    ( spl0_418
  <=> apply(apply(w,strong_fixed_point),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))) = apply(apply(w,strong_fixed_point),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f28784,plain,
    ( apply(apply(w,strong_fixed_point),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))) = apply(apply(w,strong_fixed_point),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_171 ),
    inference(superposition,[],[f840,f8902]) ).

fof(f28599,plain,
    spl0_417,
    inference(avatar_split_clause,[],[f28594,f28596]) ).

fof(f28596,plain,
    ( spl0_417
  <=> apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(b,b),b))))),apply(apply(b,b),apply(apply(b,b),b))) = apply(apply(w,w),apply(apply(b,b),apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f28594,plain,
    apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(b,b),b))))),apply(apply(b,b),apply(apply(b,b),b))) = apply(apply(w,w),apply(apply(b,b),apply(apply(b,b),b))),
    inference(forward_demodulation,[],[f28308,f1853]) ).

fof(f28308,plain,
    apply(apply(b,apply(apply(apply(w,w),b),apply(apply(b,b),apply(apply(b,b),b)))),apply(apply(b,b),apply(apply(b,b),b))) = apply(apply(w,w),apply(apply(b,b),apply(apply(b,b),b))),
    inference(superposition,[],[f23,f795]) ).

fof(f795,plain,
    ! [X1] : apply(apply(X1,X1),apply(apply(w,w),X1)) = apply(apply(X1,X1),apply(apply(X1,X1),X1)),
    inference(superposition,[],[f45,f19]) ).

fof(f28586,plain,
    spl0_410,
    inference(avatar_split_clause,[],[f28585,f28463]) ).

fof(f28463,plain,
    ( spl0_410
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f28585,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f28240,f179]) ).

fof(f28240,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f795,f92]) ).

fof(f28584,plain,
    spl0_416,
    inference(avatar_split_clause,[],[f28244,f28581]) ).

fof(f28581,plain,
    ( spl0_416
  <=> apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f28244,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w)))),
    inference(superposition,[],[f795,f128]) ).

fof(f28564,plain,
    spl0_415,
    inference(avatar_split_clause,[],[f28559,f28561]) ).

fof(f28561,plain,
    ( spl0_415
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f28559,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f28558,f3540]) ).

fof(f28558,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f28245,f17]) ).

fof(f28245,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f795,f621]) ).

fof(f28553,plain,
    spl0_414,
    inference(avatar_split_clause,[],[f28548,f28550]) ).

fof(f28550,plain,
    ( spl0_414
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f28548,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f28547,f3540]) ).

fof(f28547,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f28246,f17]) ).

fof(f28246,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f795,f10939]) ).

fof(f28522,plain,
    spl0_413,
    inference(avatar_split_clause,[],[f28517,f28519]) ).

fof(f28519,plain,
    ( spl0_413
  <=> apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f28517,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f28516,f195]) ).

fof(f28516,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f28515,f3540]) ).

fof(f28515,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f28238,f17]) ).

fof(f28238,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f795,f162]) ).

fof(f28502,plain,
    ( spl0_412
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28497,f142,f28499]) ).

fof(f28499,plain,
    ( spl0_412
  <=> apply(apply(b,apply(apply(w,apply(b,b)),b)),b) = apply(apply(b,apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f28497,plain,
    ( apply(apply(b,apply(apply(w,apply(b,b)),b)),b) = apply(apply(b,apply(b,apply(b,b))),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f28496,f144]) ).

fof(f28496,plain,
    apply(apply(b,apply(apply(w,apply(b,b)),b)),b) = apply(apply(b,apply(apply(w,apply(w,w)),b)),b),
    inference(forward_demodulation,[],[f28299,f212]) ).

fof(f28299,plain,
    apply(apply(b,apply(apply(w,apply(w,w)),b)),b) = apply(apply(w,apply(apply(b,b),apply(apply(b,b),b))),b),
    inference(superposition,[],[f212,f795]) ).

fof(f28491,plain,
    spl0_411,
    inference(avatar_split_clause,[],[f28486,f28488]) ).

fof(f28488,plain,
    ( spl0_411
  <=> apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f28486,plain,
    apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f28485,f344]) ).

fof(f28485,plain,
    apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(w,apply(apply(b,w),apply(w,apply(b,w)))),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(w,apply(apply(b,w),apply(w,apply(b,w)))),apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f28380,f17]) ).

fof(f28380,plain,
    apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w)))),apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(apply(w,w),apply(w,apply(b,w))))),apply(apply(apply(w,apply(b,w)),apply(w,apply(b,w))),apply(w,apply(b,w)))),
    inference(superposition,[],[f170,f795]) ).

fof(f28466,plain,
    spl0_410,
    inference(avatar_split_clause,[],[f28461,f28463]) ).

fof(f28461,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f28460,f179]) ).

fof(f28460,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f28237,f17]) ).

fof(f28237,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f795,f51]) ).

fof(f28458,plain,
    spl0_409,
    inference(avatar_split_clause,[],[f28312,f28455]) ).

fof(f28455,plain,
    ( spl0_409
  <=> apply(apply(apply(w,apply(b,w)),apply(b,b)),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,b),apply(apply(b,b),b))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f28312,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,b)),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,b),apply(apply(b,b),b))),apply(apply(w,w),b)),
    inference(superposition,[],[f204,f795]) ).

fof(f28218,plain,
    spl0_405,
    inference(avatar_split_clause,[],[f27758,f28189]) ).

fof(f28189,plain,
    ( spl0_405
  <=> apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,apply(w,w)),apply(apply(w,b),b)))) = apply(apply(apply(w,b),apply(apply(w,apply(apply(w,b),b)),apply(apply(w,b),b))),apply(apply(w,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f27758,plain,
    apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,apply(w,w)),apply(apply(w,b),b)))) = apply(apply(apply(w,b),apply(apply(w,apply(apply(w,b),b)),apply(apply(w,b),b))),apply(apply(w,b),b)),
    inference(superposition,[],[f128,f551]) ).

fof(f28215,plain,
    ( spl0_408
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28210,f142,f28212]) ).

fof(f28212,plain,
    ( spl0_408
  <=> apply(apply(w,b),apply(b,apply(b,apply(b,b)))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f28210,plain,
    ( apply(apply(w,b),apply(b,apply(b,apply(b,b)))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,apply(b,b))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27776,f144]) ).

fof(f27776,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(apply(w,apply(w,w)),b))) = apply(apply(w,b),apply(b,apply(apply(w,apply(w,w)),b))),
    inference(superposition,[],[f58,f128]) ).

fof(f28203,plain,
    ( spl0_407
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28198,f142,f28200]) ).

fof(f28200,plain,
    ( spl0_407
  <=> apply(apply(w,apply(apply(b,b),b)),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f28198,plain,
    ( apply(apply(w,apply(apply(b,b),b)),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,b)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27774,f144]) ).

fof(f27774,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(apply(w,apply(w,w)),b)) = apply(apply(w,apply(apply(b,b),b)),apply(apply(w,apply(w,w)),b)),
    inference(superposition,[],[f232,f128]) ).

fof(f28197,plain,
    spl0_406,
    inference(avatar_split_clause,[],[f27636,f28194]) ).

fof(f28194,plain,
    ( spl0_406
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f27636,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),apply(w,apply(b,w))),
    inference(superposition,[],[f128,f621]) ).

fof(f28192,plain,
    spl0_405,
    inference(avatar_split_clause,[],[f27781,f28189]) ).

fof(f27781,plain,
    apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,apply(w,w)),apply(apply(w,b),b)))) = apply(apply(apply(w,b),apply(apply(w,apply(apply(w,b),b)),apply(apply(w,b),b))),apply(apply(w,b),b)),
    inference(superposition,[],[f551,f128]) ).

fof(f28186,plain,
    spl0_404,
    inference(avatar_split_clause,[],[f27872,f28183]) ).

fof(f28183,plain,
    ( spl0_404
  <=> apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f27872,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f117,f128]) ).

fof(f117,plain,
    ! [X5] : apply(apply(w,apply(w,apply(w,b))),X5) = apply(apply(X5,apply(X5,X5)),X5),
    inference(superposition,[],[f16,f19]) ).

fof(f28177,plain,
    spl0_403,
    inference(avatar_split_clause,[],[f27873,f28174]) ).

fof(f28174,plain,
    ( spl0_403
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(w,apply(w,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f27873,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(w,apply(w,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f132,f128]) ).

fof(f132,plain,
    ! [X1] : apply(apply(w,apply(w,apply(w,w))),X1) = apply(apply(w,apply(w,apply(X1,X1))),X1),
    inference(forward_demodulation,[],[f103,f16]) ).

fof(f103,plain,
    ! [X1] : apply(apply(w,apply(w,apply(w,w))),X1) = apply(apply(apply(apply(X1,X1),X1),X1),X1),
    inference(superposition,[],[f16,f15]) ).

fof(f28167,plain,
    spl0_402,
    inference(avatar_split_clause,[],[f27855,f28164]) ).

fof(f28164,plain,
    ( spl0_402
  <=> apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f27855,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f43,f128]) ).

fof(f28154,plain,
    ( spl0_400
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28153,f142,f28140]) ).

fof(f28140,plain,
    ( spl0_400
  <=> apply(b,apply(b,apply(b,apply(b,b)))) = apply(apply(apply(w,b),apply(apply(w,b),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f28153,plain,
    ( apply(b,apply(b,apply(b,apply(b,b)))) = apply(apply(apply(w,b),apply(apply(w,b),b)),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27777,f144]) ).

fof(f27777,plain,
    apply(b,apply(b,apply(apply(w,apply(w,w)),b))) = apply(apply(apply(w,b),apply(apply(w,b),b)),b),
    inference(superposition,[],[f19,f128]) ).

fof(f28152,plain,
    ( spl0_401
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f27887,f6,f28149]) ).

fof(f28149,plain,
    ( spl0_401
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(strong_fixed_point,apply(b,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f27887,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(strong_fixed_point,apply(b,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f128]) ).

fof(f5639,plain,
    ( ! [X61] : apply(strong_fixed_point,apply(b,apply(X61,X61))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),X61))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5595,f35]) ).

fof(f5595,plain,
    ( ! [X61] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,apply(b,apply(X61,X61)))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),X61))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f2528]) ).

fof(f2528,plain,
    ! [X6,X5] : apply(X5,apply(X5,apply(X6,X6))) = apply(X5,apply(apply(w,apply(b,X5)),X6)),
    inference(superposition,[],[f92,f19]) ).

fof(f28143,plain,
    ( spl0_400
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28138,f142,f28140]) ).

fof(f28138,plain,
    ( apply(b,apply(b,apply(b,apply(b,b)))) = apply(apply(apply(w,b),apply(apply(w,b),b)),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27757,f144]) ).

fof(f27757,plain,
    apply(b,apply(b,apply(apply(w,apply(w,w)),b))) = apply(apply(apply(w,b),apply(apply(w,b),b)),b),
    inference(superposition,[],[f128,f19]) ).

fof(f28134,plain,
    ( spl0_399
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28129,f142,f28131]) ).

fof(f28131,plain,
    ( spl0_399
  <=> apply(b,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(b,apply(b,apply(b,apply(b,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f28129,plain,
    ( apply(b,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(b,apply(b,apply(b,apply(b,apply(b,b)))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27775,f144]) ).

fof(f27775,plain,
    apply(b,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,w)),b)))),
    inference(superposition,[],[f1253,f128]) ).

fof(f28123,plain,
    spl0_398,
    inference(avatar_split_clause,[],[f28122,f28076]) ).

fof(f28076,plain,
    ( spl0_398
  <=> apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f28122,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f27755,f17]) ).

fof(f27755,plain,
    apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,apply(w,apply(w,b)))),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))),
    inference(superposition,[],[f128,f58]) ).

fof(f28113,plain,
    ( spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f27615,f6,f1101]) ).

fof(f1101,plain,
    ( spl0_47
  <=> apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f27615,plain,
    ( apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f128,f8]) ).

fof(f28100,plain,
    ( spl0_51
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f28099,f294,f1131]) ).

fof(f1131,plain,
    ( spl0_51
  <=> apply(apply(apply(w,b),apply(apply(w,apply(w,b)),b)),b) = apply(apply(apply(w,apply(w,b)),b),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f28099,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,b)),b)),b) = apply(apply(apply(w,apply(w,b)),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f27725,f17]) ).

fof(f27725,plain,
    ( apply(apply(apply(apply(w,w),b),b),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,b),apply(apply(apply(w,w),b),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f128,f296]) ).

fof(f28079,plain,
    spl0_398,
    inference(avatar_split_clause,[],[f28074,f28076]) ).

fof(f28074,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f27769,f17]) ).

fof(f27769,plain,
    apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,apply(w,apply(w,b)))),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))),
    inference(superposition,[],[f58,f128]) ).

fof(f28067,plain,
    spl0_397,
    inference(avatar_split_clause,[],[f27853,f28064]) ).

fof(f28064,plain,
    ( spl0_397
  <=> apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f27853,plain,
    apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f15,f128]) ).

fof(f28059,plain,
    ( spl0_396
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f28054,f300,f28056]) ).

fof(f28056,plain,
    ( spl0_396
  <=> apply(apply(apply(w,b),apply(b,apply(apply(b,b),b))),b) = apply(apply(b,apply(apply(b,b),b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f28054,plain,
    ( apply(apply(apply(w,b),apply(b,apply(apply(b,b),b))),b) = apply(apply(b,apply(apply(b,b),b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27603,f1]) ).

fof(f27603,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(b,b),apply(b,b)),b)),b) = apply(apply(apply(apply(b,b),apply(b,b)),b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b))
    | ~ spl0_11 ),
    inference(superposition,[],[f128,f302]) ).

fof(f28050,plain,
    ( spl0_395
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28045,f142,f6,f28047]) ).

fof(f28047,plain,
    ( spl0_395
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f28045,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b)))))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27772,f144]) ).

fof(f27772,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,w)),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f128]) ).

fof(f28042,plain,
    spl0_394,
    inference(avatar_split_clause,[],[f27856,f28039]) ).

fof(f28039,plain,
    ( spl0_394
  <=> apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f27856,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)),apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f45,f128]) ).

fof(f28034,plain,
    spl0_393,
    inference(avatar_split_clause,[],[f27886,f28031]) ).

fof(f28031,plain,
    ( spl0_393
  <=> apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f27886,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w)))) = apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w)))),
    inference(superposition,[],[f4219,f128]) ).

fof(f28014,plain,
    ( spl0_392
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f28009,f142,f28011]) ).

fof(f28011,plain,
    ( spl0_392
  <=> apply(apply(b,apply(b,apply(b,apply(b,b)))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f28009,plain,
    ( apply(apply(b,apply(b,apply(b,apply(b,b)))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(b,apply(b,b)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27773,f144]) ).

fof(f27773,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,b),b)),b),apply(apply(w,apply(w,w)),b)) = apply(apply(b,apply(b,apply(apply(w,apply(w,w)),b))),apply(apply(w,apply(w,w)),b)),
    inference(superposition,[],[f4752,f128]) ).

fof(f27998,plain,
    spl0_391,
    inference(avatar_split_clause,[],[f27731,f27995]) ).

fof(f27995,plain,
    ( spl0_391
  <=> apply(apply(apply(apply(apply(w,b),w),apply(apply(w,b),w)),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(apply(apply(w,b),w),apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f27731,plain,
    apply(apply(apply(apply(apply(w,b),w),apply(apply(w,b),w)),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(apply(apply(w,b),w),apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(superposition,[],[f128,f57]) ).

fof(f27988,plain,
    spl0_390,
    inference(avatar_split_clause,[],[f27881,f27985]) ).

fof(f27985,plain,
    ( spl0_390
  <=> apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f27881,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(apply(apply(w,apply(w,w)),apply(w,w)),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f446,f128]) ).

fof(f446,plain,
    ! [X8] : apply(apply(w,apply(w,apply(apply(b,w),b))),X8) = apply(apply(X8,apply(X8,X8)),X8),
    inference(superposition,[],[f2,f235]) ).

fof(f235,plain,
    ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0),
    inference(superposition,[],[f22,f20]) ).

fof(f27975,plain,
    ( spl0_304
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f27974,f294,f15957]) ).

fof(f15957,plain,
    ( spl0_304
  <=> apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f27974,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f27973,f1]) ).

fof(f27973,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f27602,f1]) ).

fof(f27602,plain,
    ( apply(apply(apply(apply(b,apply(b,b)),b),b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(apply(w,b),apply(apply(apply(b,apply(b,b)),b),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f128,f296]) ).

fof(f27967,plain,
    spl0_389,
    inference(avatar_split_clause,[],[f27874,f27964]) ).

fof(f27964,plain,
    ( spl0_389
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f27874,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,w)),apply(w,w))),apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),
    inference(superposition,[],[f162,f128]) ).

fof(f27946,plain,
    spl0_388,
    inference(avatar_split_clause,[],[f27876,f27943]) ).

fof(f27943,plain,
    ( spl0_388
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(w,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f27876,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,w))) = apply(apply(w,apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,w))),apply(w,w))),apply(apply(w,apply(w,w)),apply(w,w))),
    inference(superposition,[],[f181,f128]) ).

fof(f27926,plain,
    ( spl0_387
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f27632,f8900,f27923]) ).

fof(f27923,plain,
    ( spl0_387
  <=> apply(apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f27632,plain,
    ( apply(apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f128,f8902]) ).

fof(f27921,plain,
    spl0_386,
    inference(avatar_split_clause,[],[f27916,f27918]) ).

fof(f27918,plain,
    ( spl0_386
  <=> apply(apply(apply(apply(w,b),apply(apply(w,apply(b,w)),apply(b,w))),apply(b,w)),apply(apply(w,apply(w,w)),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(apply(w,apply(w,w)),apply(b,w))))),apply(apply(w,apply(w,w)),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f27916,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(b,w)),apply(b,w))),apply(b,w)),apply(apply(w,apply(w,w)),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(apply(w,apply(w,w)),apply(b,w))))),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f27780,f1]) ).

fof(f27780,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,apply(b,w)),apply(b,w))),apply(b,w)),apply(apply(w,apply(w,w)),apply(b,w))) = apply(apply(w,apply(apply(apply(b,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(b,w)))),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(superposition,[],[f170,f128]) ).

fof(f27915,plain,
    ( spl0_385
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27625,f63,f27912]) ).

fof(f27912,plain,
    ( spl0_385
  <=> apply(apply(apply(w,b),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f27625,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(superposition,[],[f128,f65]) ).

fof(f27901,plain,
    ( spl0_384
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f27896,f300,f27898]) ).

fof(f27898,plain,
    ( spl0_384
  <=> apply(apply(apply(w,apply(w,apply(w,b))),b),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f27896,plain,
    ( apply(apply(apply(w,apply(w,apply(w,b))),b),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),b)),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27895,f3540]) ).

fof(f27895,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(apply(w,w),b)),b)),b) = apply(apply(apply(w,apply(apply(w,w),b)),b),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27726,f17]) ).

fof(f27726,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,apply(w,w)),b),b)),b) = apply(apply(apply(apply(w,apply(w,w)),b),b),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(superposition,[],[f128,f302]) ).

fof(f27894,plain,
    spl0_383,
    inference(avatar_split_clause,[],[f27889,f27891]) ).

fof(f27891,plain,
    ( spl0_383
  <=> apply(apply(apply(w,w),apply(apply(b,w),w)),apply(apply(w,w),apply(apply(b,w),w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(apply(b,w),w))),apply(apply(b,w),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f27889,plain,
    apply(apply(apply(w,w),apply(apply(b,w),w)),apply(apply(w,w),apply(apply(b,w),w))) = apply(apply(apply(w,b),apply(apply(w,w),apply(apply(b,w),w))),apply(apply(b,w),w)),
    inference(forward_demodulation,[],[f27888,f23]) ).

fof(f27888,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,apply(apply(b,w),w))),apply(apply(b,w),w))),apply(apply(b,w),w)) = apply(apply(apply(w,apply(w,apply(apply(b,w),w))),apply(apply(b,w),w)),apply(apply(w,w),apply(apply(b,w),w))),
    inference(forward_demodulation,[],[f27728,f1]) ).

fof(f27728,plain,
    apply(apply(apply(w,b),apply(apply(apply(apply(b,w),w),apply(apply(b,w),w)),apply(apply(b,w),w))),apply(apply(b,w),w)) = apply(apply(apply(apply(apply(b,w),w),apply(apply(b,w),w)),apply(apply(b,w),w)),apply(apply(w,w),apply(apply(b,w),w))),
    inference(superposition,[],[f128,f23]) ).

fof(f27470,plain,
    ( spl0_382
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27139,f63,f27467]) ).

fof(f27467,plain,
    ( spl0_382
  <=> apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f27139,plain,
    ( apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f57,f65]) ).

fof(f27465,plain,
    spl0_380,
    inference(avatar_split_clause,[],[f27464,f27446]) ).

fof(f27446,plain,
    ( spl0_380
  <=> apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(apply(w,w),apply(b,w))))),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f27464,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(apply(w,w),apply(b,w))))),apply(apply(w,b),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f27122,f10939]) ).

fof(f27122,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(apply(w,w),apply(b,w))))),apply(apply(w,b),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f57,f10939]) ).

fof(f27462,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f27190,f3481]) ).

fof(f3481,plain,
    ( spl0_93
  <=> apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f27190,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)),
    inference(superposition,[],[f122,f57]) ).

fof(f27460,plain,
    ( spl0_369
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27459,f63,f27355]) ).

fof(f27355,plain,
    ( spl0_369
  <=> apply(apply(w,apply(b,apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(apply(w,w),apply(w,b))))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f27459,plain,
    ( apply(apply(w,apply(b,apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(apply(w,w),apply(w,b))))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27171,f65]) ).

fof(f27171,plain,
    apply(apply(w,apply(b,apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),
    inference(superposition,[],[f57,f79]) ).

fof(f79,plain,
    ! [X6,X5] : apply(apply(w,apply(b,X6)),apply(apply(w,b),X5)) = apply(X6,apply(X5,apply(X5,apply(apply(w,b),X5)))),
    inference(superposition,[],[f20,f19]) ).

fof(f27456,plain,
    spl0_381,
    inference(avatar_split_clause,[],[f27451,f27453]) ).

fof(f27453,plain,
    ( spl0_381
  <=> apply(apply(apply(w,apply(b,w)),apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(w,b),b),apply(apply(w,apply(w,apply(apply(w,b),b))),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f27451,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(w,b),b),apply(apply(w,apply(w,apply(apply(w,b),b))),apply(apply(w,b),b))),
    inference(forward_demodulation,[],[f27450,f17]) ).

fof(f27450,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(w,b),b),apply(apply(apply(w,w),apply(apply(w,b),b)),apply(apply(w,b),b))),
    inference(forward_demodulation,[],[f27184,f1]) ).

fof(f27184,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)) = apply(apply(apply(b,apply(apply(w,b),b)),apply(apply(w,w),apply(apply(w,b),b))),apply(apply(w,b),b)),
    inference(superposition,[],[f204,f57]) ).

fof(f27449,plain,
    spl0_380,
    inference(avatar_split_clause,[],[f27444,f27446]) ).

fof(f27444,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(apply(w,w),apply(b,w))))),apply(apply(w,b),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f27100,f10939]) ).

fof(f27100,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(apply(w,w),apply(b,w))))),apply(apply(w,b),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f57,f10939]) ).

fof(f27442,plain,
    spl0_379,
    inference(avatar_split_clause,[],[f27193,f27439]) ).

fof(f27439,plain,
    ( spl0_379
  <=> apply(apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f27193,plain,
    apply(apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w)),apply(apply(w,w),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(superposition,[],[f47,f57]) ).

fof(f27436,plain,
    ( spl0_378
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27431,f63,f27433]) ).

fof(f27433,plain,
    ( spl0_378
  <=> apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(b,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f27431,plain,
    ( apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(b,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27095,f65]) ).

fof(f27095,plain,
    apply(apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),
    inference(superposition,[],[f57,f79]) ).

fof(f27429,plain,
    ( spl0_377
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27424,f63,f27426]) ).

fof(f27426,plain,
    ( spl0_377
  <=> apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b))))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f27424,plain,
    ( apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b))))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27204,f65]) ).

fof(f27204,plain,
    apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))))),apply(w,b)),
    inference(superposition,[],[f89,f57]) ).

fof(f89,plain,
    ! [X3,X4] : apply(apply(w,apply(b,X3)),apply(X3,apply(X4,X4))) = apply(apply(apply(w,b),apply(w,apply(b,X3))),X4),
    inference(superposition,[],[f19,f20]) ).

fof(f27420,plain,
    ( spl0_376
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27415,f63,f27417]) ).

fof(f27417,plain,
    ( spl0_376
  <=> apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f27415,plain,
    ( apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27414,f84]) ).

fof(f27414,plain,
    ( apply(apply(w,apply(b,apply(apply(w,w),apply(apply(w,b),apply(w,b))))),apply(w,b)) = apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27202,f65]) ).

fof(f27202,plain,
    apply(apply(w,apply(b,apply(apply(w,w),apply(apply(w,b),apply(w,b))))),apply(w,b)) = apply(apply(w,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f84,f57]) ).

fof(f27413,plain,
    ( spl0_375
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27408,f63,f27410]) ).

fof(f27410,plain,
    ( spl0_375
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f27408,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27203,f65]) ).

fof(f27203,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))))),apply(w,b)),
    inference(superposition,[],[f85,f57]) ).

fof(f85,plain,
    ! [X8,X9] : apply(apply(w,apply(b,apply(apply(w,b),X8))),X9) = apply(X8,apply(X8,apply(X9,X9))),
    inference(superposition,[],[f20,f19]) ).

fof(f27407,plain,
    spl0_374,
    inference(avatar_split_clause,[],[f27402,f27404]) ).

fof(f27404,plain,
    ( spl0_374
  <=> apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f27402,plain,
    apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27401,f57]) ).

fof(f27401,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27400,f3540]) ).

fof(f27400,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27194,f17]) ).

fof(f27194,plain,
    apply(apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(apply(w,w),apply(apply(w,b),w)),apply(apply(w,b),w)),
    inference(superposition,[],[f17,f57]) ).

fof(f27397,plain,
    spl0_364,
    inference(avatar_split_clause,[],[f27092,f27314]) ).

fof(f27314,plain,
    ( spl0_364
  <=> apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f27092,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f57,f43]) ).

fof(f27396,plain,
    spl0_373,
    inference(avatar_split_clause,[],[f27391,f27393]) ).

fof(f27393,plain,
    ( spl0_373
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f27391,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27390,f3540]) ).

fof(f27390,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27192,f133]) ).

fof(f27192,plain,
    apply(apply(w,apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w)))),apply(apply(w,b),w)),
    inference(superposition,[],[f3540,f57]) ).

fof(f27387,plain,
    ( spl0_372
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27096,f63,f27384]) ).

fof(f27384,plain,
    ( spl0_372
  <=> apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f27096,plain,
    ( apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f57,f65]) ).

fof(f27382,plain,
    ( spl0_371
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27377,f63,f27379]) ).

fof(f27379,plain,
    ( spl0_371
  <=> apply(apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f27377,plain,
    ( apply(apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27376,f179]) ).

fof(f27376,plain,
    ( apply(apply(w,w),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27375,f17]) ).

fof(f27375,plain,
    ( apply(apply(w,w),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27374,f51]) ).

fof(f27374,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27373,f51]) ).

fof(f27373,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27372,f51]) ).

fof(f27372,plain,
    ( apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))))),apply(apply(w,w),apply(w,b))) = apply(apply(w,w),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27097,f65]) ).

fof(f27097,plain,
    apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(apply(w,b),apply(w,b)))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f57,f51]) ).

fof(f27371,plain,
    ( spl0_370
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27366,f63,f27368]) ).

fof(f27368,plain,
    ( spl0_370
  <=> apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f27366,plain,
    ( apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27365,f65]) ).

fof(f27365,plain,
    apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))),
    inference(forward_demodulation,[],[f27188,f17]) ).

fof(f27188,plain,
    apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f58,f57]) ).

fof(f27361,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f27160,f3481]) ).

fof(f27160,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)),
    inference(superposition,[],[f57,f122]) ).

fof(f27360,plain,
    spl0_361,
    inference(avatar_split_clause,[],[f27359,f27294]) ).

fof(f27294,plain,
    ( spl0_361
  <=> apply(apply(w,w),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,apply(w,apply(b,w)))))),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f27359,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,apply(w,apply(b,w)))))),apply(apply(w,b),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f27099,f621]) ).

fof(f27099,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,apply(w,apply(b,w)))))),apply(apply(w,b),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f57,f621]) ).

fof(f27358,plain,
    ( spl0_369
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27353,f63,f27355]) ).

fof(f27353,plain,
    ( apply(apply(w,apply(b,apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(apply(w,w),apply(w,b))))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,w),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27223,f65]) ).

fof(f27223,plain,
    apply(apply(w,apply(b,apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),
    inference(superposition,[],[f79,f57]) ).

fof(f27351,plain,
    spl0_368,
    inference(avatar_split_clause,[],[f27346,f27348]) ).

fof(f27348,plain,
    ( spl0_368
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f27346,plain,
    apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f27191,f195]) ).

fof(f27191,plain,
    apply(apply(w,apply(w,apply(apply(w,w),apply(apply(w,b),w)))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))))),apply(apply(w,b),w)),
    inference(superposition,[],[f195,f57]) ).

fof(f27343,plain,
    spl0_367,
    inference(avatar_split_clause,[],[f27338,f27340]) ).

fof(f27340,plain,
    ( spl0_367
  <=> apply(apply(apply(w,b),b),apply(apply(w,apply(w,apply(b,b))),b)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f27338,plain,
    apply(apply(apply(w,b),b),apply(apply(w,apply(w,apply(b,b))),b)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),b),
    inference(forward_demodulation,[],[f27337,f3540]) ).

fof(f27337,plain,
    apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),b) = apply(apply(apply(w,b),b),apply(apply(w,apply(apply(w,b),b)),b)),
    inference(forward_demodulation,[],[f27336,f17]) ).

fof(f27336,plain,
    apply(apply(apply(w,b),b),apply(apply(apply(w,apply(w,b)),b),b)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),b),
    inference(forward_demodulation,[],[f27173,f1]) ).

fof(f27173,plain,
    apply(apply(apply(b,apply(apply(w,b),b)),apply(apply(w,apply(w,b)),b)),b) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),b))),b),
    inference(superposition,[],[f212,f57]) ).

fof(f27335,plain,
    spl0_366,
    inference(avatar_split_clause,[],[f27330,f27332]) ).

fof(f27332,plain,
    ( spl0_366
  <=> apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,w),apply(apply(w,w),apply(b,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f27330,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,w),apply(apply(w,w),apply(b,apply(w,b)))),
    inference(forward_demodulation,[],[f27329,f1]) ).

fof(f27329,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,w),apply(apply(w,w),apply(b,apply(w,b)))),
    inference(forward_demodulation,[],[f27149,f1]) ).

fof(f27149,plain,
    apply(apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b))))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,w),apply(apply(w,w),apply(b,apply(w,b)))),
    inference(superposition,[],[f57,f25]) ).

fof(f27325,plain,
    ( spl0_365
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27320,f63,f27322]) ).

fof(f27322,plain,
    ( spl0_365
  <=> apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,w),apply(apply(w,b),apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f27320,plain,
    ( apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,w),apply(apply(w,b),apply(w,b)))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27187,f65]) ).

fof(f27187,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b))))),
    inference(superposition,[],[f44,f57]) ).

fof(f27317,plain,
    spl0_364,
    inference(avatar_split_clause,[],[f27116,f27314]) ).

fof(f27116,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f57,f4219]) ).

fof(f27311,plain,
    ( spl0_363
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27306,f63,f27308]) ).

fof(f27308,plain,
    ( spl0_363
  <=> apply(apply(w,w),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f27306,plain,
    ( apply(apply(w,w),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27154,f65]) ).

fof(f27154,plain,
    apply(apply(w,w),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))))),apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))),
    inference(superposition,[],[f57,f4219]) ).

fof(f27303,plain,
    ( spl0_362
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27298,f63,f27300]) ).

fof(f27300,plain,
    ( spl0_362
  <=> apply(apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)),apply(w,b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b))))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f27298,plain,
    ( apply(apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)),apply(w,b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b))))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27206,f65]) ).

fof(f27206,plain,
    apply(apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)),apply(w,b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))))))),apply(w,b)),
    inference(superposition,[],[f105,f57]) ).

fof(f105,plain,
    ! [X4,X5] : apply(apply(w,apply(w,apply(w,apply(b,X4)))),X5) = apply(apply(apply(X4,apply(X5,X5)),X5),X5),
    inference(superposition,[],[f16,f20]) ).

fof(f27297,plain,
    spl0_361,
    inference(avatar_split_clause,[],[f27292,f27294]) ).

fof(f27292,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,apply(w,apply(b,w)))))),apply(apply(w,b),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f27121,f621]) ).

fof(f27121,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,b),apply(w,apply(w,apply(b,w)))))),apply(apply(w,b),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f57,f621]) ).

fof(f27290,plain,
    spl0_360,
    inference(avatar_split_clause,[],[f27140,f27287]) ).

fof(f27287,plain,
    ( spl0_360
  <=> apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f27140,plain,
    apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,b))),
    inference(superposition,[],[f57,f43]) ).

fof(f27284,plain,
    ( spl0_359
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27279,f63,f27281]) ).

fof(f27281,plain,
    ( spl0_359
  <=> apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f27279,plain,
    ( apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b)) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27208,f65]) ).

fof(f27208,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))))),apply(w,b)),
    inference(superposition,[],[f589,f57]) ).

fof(f589,plain,
    ! [X10,X9] : apply(X9,apply(X9,apply(X10,X10))) = apply(apply(w,apply(apply(w,b),apply(b,X9))),X10),
    inference(forward_demodulation,[],[f555,f1]) ).

fof(f555,plain,
    ! [X10,X9] : apply(X9,apply(apply(apply(b,X9),X10),X10)) = apply(apply(w,apply(apply(w,b),apply(b,X9))),X10),
    inference(superposition,[],[f1,f56]) ).

fof(f27277,plain,
    ( spl0_358
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27272,f63,f27274]) ).

fof(f27274,plain,
    ( spl0_358
  <=> apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f27272,plain,
    ( apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f27205,f65]) ).

fof(f27205,plain,
    apply(apply(apply(w,w),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))))),apply(w,b)),
    inference(superposition,[],[f90,f57]) ).

fof(f27270,plain,
    spl0_357,
    inference(avatar_split_clause,[],[f27265,f27267]) ).

fof(f27267,plain,
    ( spl0_357
  <=> apply(apply(w,w),apply(apply(w,w),apply(apply(w,b),b))) = apply(apply(apply(w,b),b),apply(apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b))),apply(apply(w,w),apply(apply(w,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f27265,plain,
    apply(apply(w,w),apply(apply(w,w),apply(apply(w,b),b))) = apply(apply(apply(w,b),b),apply(apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b))),apply(apply(w,w),apply(apply(w,b),b)))),
    inference(forward_demodulation,[],[f27180,f1]) ).

fof(f27180,plain,
    apply(apply(w,w),apply(apply(w,w),apply(apply(w,b),b))) = apply(apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,w),apply(apply(w,b),b)))),apply(apply(w,w),apply(apply(w,b),b))),
    inference(superposition,[],[f23,f57]) ).

fof(f27084,plain,
    spl0_355,
    inference(avatar_split_clause,[],[f27083,f27052]) ).

fof(f27052,plain,
    ( spl0_355
  <=> apply(apply(w,w),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f27083,plain,
    apply(apply(w,w),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w))),
    inference(forward_demodulation,[],[f26889,f25]) ).

fof(f26889,plain,
    apply(apply(w,w),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(b,w),apply(b,w))),
    inference(superposition,[],[f344,f23]) ).

fof(f27067,plain,
    spl0_356,
    inference(avatar_split_clause,[],[f27062,f27064]) ).

fof(f27062,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b))),
    inference(forward_demodulation,[],[f27061,f179]) ).

fof(f27061,plain,
    apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(b,apply(w,b)),apply(w,b))),
    inference(forward_demodulation,[],[f26732,f17]) ).

fof(f26732,plain,
    apply(apply(w,w),apply(apply(b,apply(w,b)),apply(w,b))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(b,apply(w,b)),apply(w,b))),
    inference(superposition,[],[f23,f46]) ).

fof(f27060,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f27059,f26983]) ).

fof(f26983,plain,
    ( spl0_351
  <=> apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(w,apply(b,apply(apply(b,w),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f27059,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(w,apply(b,apply(apply(b,w),b))))),
    inference(forward_demodulation,[],[f26906,f1]) ).

fof(f26906,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(apply(apply(b,w),b),apply(apply(b,w),b)))),
    inference(superposition,[],[f86,f23]) ).

fof(f86,plain,
    ! [X10,X11,X12] : apply(apply(w,apply(b,apply(apply(b,X10),X11))),X12) = apply(X10,apply(X11,apply(X12,X12))),
    inference(superposition,[],[f20,f1]) ).

fof(f27055,plain,
    spl0_355,
    inference(avatar_split_clause,[],[f27050,f27052]) ).

fof(f27050,plain,
    apply(apply(w,w),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w))),
    inference(forward_demodulation,[],[f26848,f25]) ).

fof(f26848,plain,
    apply(apply(w,w),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(b,w)))),apply(apply(b,w),apply(b,w))),
    inference(superposition,[],[f23,f344]) ).

fof(f27037,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f27036,f26983]) ).

fof(f27036,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(w,apply(b,apply(apply(b,w),b))))),
    inference(forward_demodulation,[],[f26871,f1]) ).

fof(f26871,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(apply(apply(b,w),b),apply(w,apply(b,apply(apply(b,w),b)))),
    inference(superposition,[],[f80,f23]) ).

fof(f80,plain,
    ! [X8,X9,X7] : apply(apply(w,apply(b,X9)),apply(apply(b,X7),X8)) = apply(X9,apply(X7,apply(X8,apply(apply(b,X7),X8)))),
    inference(superposition,[],[f20,f1]) ).

fof(f27027,plain,
    spl0_354,
    inference(avatar_split_clause,[],[f27022,f27024]) ).

fof(f27024,plain,
    ( spl0_354
  <=> apply(apply(apply(w,w),apply(apply(b,w),b)),apply(w,apply(b,apply(apply(b,w),b)))) = apply(apply(w,apply(w,b)),apply(w,apply(b,apply(apply(b,w),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f27022,plain,
    apply(apply(apply(w,w),apply(apply(b,w),b)),apply(w,apply(b,apply(apply(b,w),b)))) = apply(apply(w,apply(w,b)),apply(w,apply(b,apply(apply(b,w),b)))),
    inference(forward_demodulation,[],[f27021,f344]) ).

fof(f27021,plain,
    apply(apply(w,apply(apply(b,w),b)),apply(w,apply(b,apply(apply(b,w),b)))) = apply(apply(apply(w,w),apply(apply(b,w),b)),apply(w,apply(b,apply(apply(b,w),b)))),
    inference(forward_demodulation,[],[f26888,f1]) ).

fof(f26888,plain,
    apply(apply(w,apply(apply(b,w),b)),apply(apply(apply(b,w),b),apply(apply(b,w),b))) = apply(apply(apply(w,w),apply(apply(b,w),b)),apply(apply(apply(b,w),b),apply(apply(b,w),b))),
    inference(superposition,[],[f93,f23]) ).

fof(f93,plain,
    ! [X3,X4] : apply(apply(w,X3),apply(X4,X4)) = apply(apply(apply(w,apply(b,X3)),X4),apply(X4,X4)),
    inference(superposition,[],[f2,f20]) ).

fof(f27019,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f27018,f26983]) ).

fof(f27018,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(w,apply(b,apply(apply(b,w),b))))),
    inference(forward_demodulation,[],[f26847,f1]) ).

fof(f26847,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(apply(apply(b,w),b),apply(w,apply(b,apply(apply(b,w),b)))),
    inference(superposition,[],[f23,f80]) ).

fof(f27002,plain,
    ( spl0_353
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f26782,f6,f26999]) ).

fof(f26999,plain,
    ( spl0_353
  <=> apply(apply(w,w),apply(apply(b,strong_fixed_point),apply(apply(w,b),b))) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,strong_fixed_point),apply(apply(w,b),b))))),apply(apply(b,strong_fixed_point),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f26782,plain,
    ( apply(apply(w,w),apply(apply(b,strong_fixed_point),apply(apply(w,b),b))) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,strong_fixed_point),apply(apply(w,b),b))))),apply(apply(b,strong_fixed_point),apply(apply(w,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f23,f4482]) ).

fof(f26997,plain,
    ( spl0_352
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f26783,f6,f26994]) ).

fof(f26994,plain,
    ( spl0_352
  <=> apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,strong_fixed_point),apply(apply(w,w),b))))),apply(apply(b,strong_fixed_point),apply(apply(w,w),b))) = apply(apply(w,w),apply(apply(b,strong_fixed_point),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f26783,plain,
    ( apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,strong_fixed_point),apply(apply(w,w),b))))),apply(apply(b,strong_fixed_point),apply(apply(w,w),b))) = apply(apply(w,w),apply(apply(b,strong_fixed_point),apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f23,f5346]) ).

fof(f26986,plain,
    spl0_351,
    inference(avatar_split_clause,[],[f26981,f26983]) ).

fof(f26981,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(w,apply(b,apply(apply(b,w),b))))),
    inference(forward_demodulation,[],[f26861,f1]) ).

fof(f26861,plain,
    apply(apply(w,w),apply(apply(b,w),b)) = apply(w,apply(b,apply(apply(apply(b,w),b),apply(apply(b,w),b)))),
    inference(superposition,[],[f23,f86]) ).

fof(f26978,plain,
    spl0_350,
    inference(avatar_split_clause,[],[f26759,f26975]) ).

fof(f26975,plain,
    ( spl0_350
  <=> apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(w,w),b))))),apply(apply(b,b),apply(apply(w,w),b))) = apply(apply(w,w),apply(apply(b,b),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f26759,plain,
    apply(apply(b,apply(b,apply(b,apply(apply(b,b),apply(apply(w,w),b))))),apply(apply(b,b),apply(apply(w,w),b))) = apply(apply(w,w),apply(apply(b,b),apply(apply(w,w),b))),
    inference(superposition,[],[f23,f1853]) ).

fof(f26723,plain,
    spl0_347,
    inference(avatar_split_clause,[],[f26722,f26673]) ).

fof(f26673,plain,
    ( spl0_347
  <=> apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f26722,plain,
    apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f26268,f1]) ).

fof(f26268,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,b)),
    inference(superposition,[],[f109,f634]) ).

fof(f109,plain,
    ! [X14,X12,X13] : apply(apply(apply(X12,apply(X13,X14)),X14),X14) = apply(apply(w,apply(w,apply(apply(b,X12),X13))),X14),
    inference(superposition,[],[f16,f1]) ).

fof(f26710,plain,
    ( spl0_349
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f26216,f142,f26707]) ).

fof(f26707,plain,
    ( spl0_349
  <=> apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,w))),b) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,w))),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f26216,plain,
    ( apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,w))),b) = apply(apply(apply(w,apply(w,w)),apply(w,apply(w,w))),apply(b,apply(b,b)))
    | ~ spl0_7 ),
    inference(superposition,[],[f634,f144]) ).

fof(f26702,plain,
    ( spl0_348
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f26697,f6,f26699]) ).

fof(f26699,plain,
    ( spl0_348
  <=> apply(apply(w,w),apply(apply(b,w),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point))) = apply(apply(apply(w,apply(w,apply(b,b))),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f26697,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point))) = apply(apply(apply(w,apply(w,apply(b,b))),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f26696,f1]) ).

fof(f26696,plain,
    ( apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point)) = apply(apply(apply(w,apply(w,apply(b,b))),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f26230,f1]) ).

fof(f26230,plain,
    ( apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point) = apply(apply(apply(w,apply(w,apply(b,b))),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f634,f8]) ).

fof(f26676,plain,
    spl0_347,
    inference(avatar_split_clause,[],[f26671,f26673]) ).

fof(f26671,plain,
    apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f26034,f1]) ).

fof(f26034,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,b)),
    inference(superposition,[],[f634,f109]) ).

fof(f26653,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f26652,f15770]) ).

fof(f15770,plain,
    ( spl0_280
  <=> apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(b,b),apply(w,apply(w,b))))),apply(w,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f26652,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(b,b),apply(w,apply(w,b))))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f26651,f3540]) ).

fof(f26651,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f26420,f17]) ).

fof(f26420,plain,
    apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,b))),apply(w,apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f162,f634]) ).

fof(f26645,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f26644,f15770]) ).

fof(f26644,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(b,b),apply(w,apply(w,b))))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f26643,f3540]) ).

fof(f26643,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f26238,f17]) ).

fof(f26238,plain,
    apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,b))),apply(w,apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f634,f162]) ).

fof(f26642,plain,
    ( spl0_346
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f26218,f300,f26639]) ).

fof(f26639,plain,
    ( spl0_346
  <=> apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f26218,plain,
    ( apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(superposition,[],[f634,f302]) ).

fof(f26578,plain,
    spl0_345,
    inference(avatar_split_clause,[],[f26577,f26563]) ).

fof(f26563,plain,
    ( spl0_345
  <=> apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f26577,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f26257,f1]) ).

fof(f26257,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f107,f634]) ).

fof(f26566,plain,
    spl0_345,
    inference(avatar_split_clause,[],[f26561,f26563]) ).

fof(f26561,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f26031,f1]) ).

fof(f26031,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f634,f107]) ).

fof(f26553,plain,
    ( spl0_344
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f26217,f294,f26550]) ).

fof(f26550,plain,
    ( spl0_344
  <=> apply(apply(apply(w,apply(w,apply(w,w))),apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,apply(w,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f26217,plain,
    ( apply(apply(apply(w,apply(w,apply(w,w))),apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,apply(w,apply(b,b))),apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f634,f296]) ).

fof(f25380,plain,
    ( spl0_343
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25375,f6,f25377]) ).

fof(f25377,plain,
    ( spl0_343
  <=> apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(w,b)),apply(w,apply(b,b)))))) = apply(strong_fixed_point,apply(apply(w,b),apply(apply(w,apply(b,b)),apply(w,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f25375,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(w,b)),apply(w,apply(b,b)))))) = apply(strong_fixed_point,apply(apply(w,b),apply(apply(w,apply(b,b)),apply(w,apply(b,b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f25217,f93]) ).

fof(f25217,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(w,b)),apply(w,apply(b,b)))))) = apply(strong_fixed_point,apply(apply(apply(w,apply(b,b)),apply(w,apply(b,b))),apply(apply(w,apply(b,b)),apply(w,apply(b,b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f43]) ).

fof(f25373,plain,
    ( spl0_342
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25215,f6,f25370]) ).

fof(f25370,plain,
    ( spl0_342
  <=> apply(strong_fixed_point,apply(apply(apply(w,apply(b,b)),apply(b,b)),apply(apply(w,apply(b,b)),apply(b,b)))) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f25215,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,apply(b,b)),apply(b,b)),apply(apply(w,apply(b,b)),apply(b,b)))) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(b,b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f236]) ).

fof(f25368,plain,
    ( spl0_341
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25363,f6,f25365]) ).

fof(f25365,plain,
    ( spl0_341
  <=> apply(strong_fixed_point,apply(b,apply(apply(w,apply(b,b)),apply(apply(b,b),apply(w,apply(b,b)))))) = apply(apply(w,w),apply(apply(w,apply(b,apply(b,w))),apply(apply(b,b),apply(w,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f25363,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,apply(b,b)),apply(apply(b,b),apply(w,apply(b,b)))))) = apply(apply(w,w),apply(apply(w,apply(b,apply(b,w))),apply(apply(b,b),apply(w,apply(b,b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f25239,f1]) ).

fof(f25239,plain,
    ( apply(strong_fixed_point,apply(apply(apply(b,b),apply(w,apply(b,b))),apply(apply(b,b),apply(w,apply(b,b))))) = apply(apply(w,w),apply(apply(w,apply(b,apply(b,w))),apply(apply(b,b),apply(w,apply(b,b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f80]) ).

fof(f25362,plain,
    ( spl0_340
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25235,f6,f25359]) ).

fof(f25359,plain,
    ( spl0_340
  <=> apply(apply(w,w),apply(apply(b,w),apply(apply(w,apply(b,b)),apply(w,apply(b,b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f25235,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(apply(w,apply(b,b)),apply(w,apply(b,b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(b,b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f20]) ).

fof(f25357,plain,
    ( spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25211,f6,f498]) ).

fof(f498,plain,
    ( spl0_18
  <=> apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,w),apply(b,b))))) = apply(strong_fixed_point,apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f25211,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,w),apply(b,b))))) = apply(strong_fixed_point,apply(apply(b,b),apply(b,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f2]) ).

fof(f25172,plain,
    ( spl0_339
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f25167,f6,f25169]) ).

fof(f25169,plain,
    ( spl0_339
  <=> apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b))) = apply(apply(w,apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f25167,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b))) = apply(apply(w,apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f25166,f1]) ).

fof(f25166,plain,
    ( apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,b)) = apply(apply(w,apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f24682,f1]) ).

fof(f24682,plain,
    ( apply(apply(w,apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point),b)
    | ~ spl0_1 ),
    inference(superposition,[],[f257,f8]) ).

fof(f257,plain,
    ! [X8,X9,X7] : apply(apply(X7,apply(X7,apply(X8,X9))),X9) = apply(apply(w,apply(apply(apply(w,b),apply(b,X7)),X8)),X9),
    inference(forward_demodulation,[],[f201,f1]) ).

fof(f201,plain,
    ! [X8,X9,X7] : apply(apply(X7,apply(apply(apply(b,X7),X8),X9)),X9) = apply(apply(w,apply(apply(apply(w,b),apply(b,X7)),X8)),X9),
    inference(superposition,[],[f22,f19]) ).

fof(f25157,plain,
    ( spl0_338
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f24689,f63,f25154]) ).

fof(f25154,plain,
    ( spl0_338
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(apply(w,b),apply(b,apply(w,b))),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f24689,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(apply(w,b),apply(b,apply(w,b))),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f257,f65]) ).

fof(f23464,plain,
    ( spl0_337
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f23459,f6,f23461]) ).

fof(f23461,plain,
    ( spl0_337
  <=> apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b))) = apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,b),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f23459,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,b))) = apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,b),b)),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f23458,f1]) ).

fof(f23458,plain,
    ( apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,b)) = apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,b),b)),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f23457,f212]) ).

fof(f23457,plain,
    ( apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,b)) = apply(apply(w,apply(apply(b,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f23034,f1]) ).

fof(f23034,plain,
    ( apply(apply(w,apply(apply(b,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b))),b) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point),b)
    | ~ spl0_1 ),
    inference(superposition,[],[f226,f8]) ).

fof(f226,plain,
    ! [X16,X17,X15] : apply(apply(w,apply(apply(b,apply(apply(w,b),X15)),X16)),X17) = apply(apply(X15,apply(X15,apply(X16,X17))),X17),
    inference(superposition,[],[f22,f19]) ).

fof(f23387,plain,
    ( spl0_336
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f23041,f63,f23384]) ).

fof(f23384,plain,
    ( spl0_336
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(apply(w,b),apply(w,b))),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f23041,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(apply(w,b),apply(w,b))),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f226,f65]) ).

fof(f22787,plain,
    spl0_335,
    inference(avatar_split_clause,[],[f22378,f22783]) ).

fof(f22783,plain,
    ( spl0_335
  <=> apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(w,b))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f22378,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(w,b))))),apply(w,b)),
    inference(superposition,[],[f589,f92]) ).

fof(f22786,plain,
    spl0_335,
    inference(avatar_split_clause,[],[f22534,f22783]) ).

fof(f22534,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(apply(w,b),apply(b,apply(apply(w,b),apply(w,b))))),apply(w,b)),
    inference(superposition,[],[f92,f589]) ).

fof(f22707,plain,
    spl0_334,
    inference(avatar_split_clause,[],[f22289,f22704]) ).

fof(f22704,plain,
    ( spl0_334
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(w,w))) = apply(apply(w,apply(apply(w,b),apply(b,apply(w,apply(w,apply(w,w)))))),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f22289,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(w,w))) = apply(apply(w,apply(apply(w,b),apply(b,apply(w,apply(w,apply(w,w)))))),w),
    inference(superposition,[],[f589,f179]) ).

fof(f22221,plain,
    spl0_333,
    inference(avatar_split_clause,[],[f21982,f22218]) ).

fof(f22218,plain,
    ( spl0_333
  <=> apply(apply(apply(w,apply(b,b)),apply(b,b)),b) = apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f21982,plain,
    apply(apply(apply(w,apply(b,b)),apply(b,b)),b) = apply(apply(w,apply(apply(apply(w,w),apply(b,b)),b)),b),
    inference(superposition,[],[f225,f25]) ).

fof(f225,plain,
    ! [X14,X12,X13] : apply(apply(w,apply(apply(b,apply(X12,apply(X13,X14))),X13)),X14) = apply(apply(apply(w,X12),apply(X13,X14)),X14),
    inference(superposition,[],[f22,f2]) ).

fof(f22208,plain,
    ( spl0_332
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f22203,f6,f22205]) ).

fof(f22205,plain,
    ( spl0_332
  <=> apply(apply(strong_fixed_point,apply(apply(w,b),b)),b) = apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f22203,plain,
    ( apply(apply(strong_fixed_point,apply(apply(w,b),b)),b) = apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f21896,f212]) ).

fof(f21896,plain,
    ( apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),b) = apply(apply(w,apply(apply(b,strong_fixed_point),apply(b,b))),b)
    | ~ spl0_1 ),
    inference(superposition,[],[f225,f8]) ).

fof(f22198,plain,
    ( spl0_331
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f21903,f63,f22195]) ).

fof(f22195,plain,
    ( spl0_331
  <=> apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(apply(w,w),apply(w,b))),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f21903,plain,
    ( apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(apply(w,w),apply(w,b))),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f225,f65]) ).

fof(f22138,plain,
    ( spl0_330
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f21979,f8900,f22135]) ).

fof(f22135,plain,
    ( spl0_330
  <=> apply(apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)),b) = apply(apply(w,apply(apply(b,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(w,apply(w,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f21979,plain,
    ( apply(apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)),b) = apply(apply(w,apply(apply(b,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(w,apply(w,b)))),b)
    | ~ spl0_171 ),
    inference(superposition,[],[f225,f8902]) ).

fof(f19509,plain,
    spl0_328,
    inference(avatar_split_clause,[],[f19210,f19485]) ).

fof(f19485,plain,
    ( spl0_328
  <=> apply(apply(w,apply(w,w)),apply(apply(w,b),b)) = apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f19210,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),b)) = apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,b),b))),
    inference(superposition,[],[f16,f551]) ).

fof(f19506,plain,
    ( spl0_329
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f19179,f294,f19503]) ).

fof(f19503,plain,
    ( spl0_329
  <=> apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(w,apply(w,w)))),b) = apply(apply(b,apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f19179,plain,
    ( apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(w,apply(w,w)))),b) = apply(apply(b,apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f551,f296]) ).

fof(f19488,plain,
    spl0_328,
    inference(avatar_split_clause,[],[f19029,f19485]) ).

fof(f19029,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),b)) = apply(apply(b,apply(apply(w,b),b)),apply(apply(apply(w,b),b),apply(apply(w,b),b))),
    inference(superposition,[],[f551,f16]) ).

fof(f19468,plain,
    ( spl0_327
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f19191,f6,f19465]) ).

fof(f19465,plain,
    ( spl0_327
  <=> apply(apply(apply(w,apply(apply(w,b),b)),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f19191,plain,
    ( apply(apply(apply(w,apply(apply(w,b),b)),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f551,f8]) ).

fof(f19430,plain,
    ( spl0_326
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f19180,f300,f19427]) ).

fof(f19427,plain,
    ( spl0_326
  <=> apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(b,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f19180,plain,
    ( apply(apply(apply(w,apply(apply(w,b),b)),apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(b,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(superposition,[],[f551,f302]) ).

fof(f17454,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f17190,f743]) ).

fof(f743,plain,
    ( spl0_25
  <=> apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f17190,plain,
    apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),b),
    inference(superposition,[],[f131,f446]) ).

fof(f17433,plain,
    spl0_318,
    inference(avatar_split_clause,[],[f17432,f17329]) ).

fof(f17329,plain,
    ( spl0_318
  <=> apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f17432,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f17132,f621]) ).

fof(f17132,plain,
    apply(apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f446,f621]) ).

fof(f17409,plain,
    spl0_320,
    inference(avatar_split_clause,[],[f17408,f17345]) ).

fof(f17345,plain,
    ( spl0_320
  <=> apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f17408,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f17407,f179]) ).

fof(f17407,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f17406,f17]) ).

fof(f17406,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f17125,f51]) ).

fof(f17125,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f446,f51]) ).

fof(f17405,plain,
    ( spl0_325
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f17400,f63,f17402]) ).

fof(f17402,plain,
    ( spl0_325
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f17400,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f17230,f65]) ).

fof(f17230,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)))),
    inference(superposition,[],[f44,f446]) ).

fof(f17394,plain,
    spl0_324,
    inference(avatar_split_clause,[],[f17173,f17380]) ).

fof(f17380,plain,
    ( spl0_324
  <=> apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f17173,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f446,f45]) ).

fof(f17383,plain,
    spl0_324,
    inference(avatar_split_clause,[],[f17224,f17380]) ).

fof(f17224,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f45,f446]) ).

fof(f17378,plain,
    spl0_323,
    inference(avatar_split_clause,[],[f17126,f17375]) ).

fof(f17375,plain,
    ( spl0_323
  <=> apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f17126,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f446,f162]) ).

fof(f17372,plain,
    spl0_322,
    inference(avatar_split_clause,[],[f17367,f17369]) ).

fof(f17369,plain,
    ( spl0_322
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f17367,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(forward_demodulation,[],[f17366,f179]) ).

fof(f17366,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(w,b))),apply(w,b))) = apply(apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(forward_demodulation,[],[f17231,f17]) ).

fof(f17231,plain,
    apply(apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),
    inference(superposition,[],[f58,f446]) ).

fof(f17365,plain,
    spl0_317,
    inference(avatar_split_clause,[],[f17364,f17312]) ).

fof(f17312,plain,
    ( spl0_317
  <=> apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f17364,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f17134,f10939]) ).

fof(f17134,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f446,f10939]) ).

fof(f17363,plain,
    spl0_319,
    inference(avatar_split_clause,[],[f17362,f17338]) ).

fof(f17338,plain,
    ( spl0_319
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f17362,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f17160,f542]) ).

fof(f542,plain,
    ! [X1] : apply(apply(w,apply(apply(w,b),w)),X1) = apply(apply(w,apply(w,w)),X1),
    inference(superposition,[],[f56,f122]) ).

fof(f17160,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f446,f542]) ).

fof(f17357,plain,
    ( spl0_321
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f17352,f63,f17354]) ).

fof(f17354,plain,
    ( spl0_321
  <=> apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f17352,plain,
    ( apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f17155,f17]) ).

fof(f17155,plain,
    ( apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,b)) = apply(apply(apply(w,w),apply(w,b)),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f446,f65]) ).

fof(f17348,plain,
    spl0_320,
    inference(avatar_split_clause,[],[f17343,f17345]) ).

fof(f17343,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f17342,f179]) ).

fof(f17342,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f17128,f51]) ).

fof(f17128,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f446,f92]) ).

fof(f17341,plain,
    spl0_319,
    inference(avatar_split_clause,[],[f17336,f17338]) ).

fof(f17336,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f17133,f542]) ).

fof(f17133,plain,
    apply(apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f446,f542]) ).

fof(f17332,plain,
    spl0_318,
    inference(avatar_split_clause,[],[f17327,f17329]) ).

fof(f17327,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f17159,f621]) ).

fof(f17159,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(apply(b,w),b))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f446,f621]) ).

fof(f17315,plain,
    spl0_317,
    inference(avatar_split_clause,[],[f17310,f17312]) ).

fof(f17310,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f17161,f10939]) ).

fof(f17161,plain,
    apply(apply(w,apply(w,apply(apply(b,w),b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f446,f10939]) ).

fof(f17307,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f17115,f743]) ).

fof(f17115,plain,
    apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),b),
    inference(superposition,[],[f446,f131]) ).

fof(f17067,plain,
    spl0_316,
    inference(avatar_split_clause,[],[f17062,f17064]) ).

fof(f17064,plain,
    ( spl0_316
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(b,b))))),apply(w,apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f17062,plain,
    apply(apply(w,apply(w,apply(w,apply(w,apply(b,b))))),apply(w,apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f16840,f194]) ).

fof(f16840,plain,
    apply(apply(w,apply(apply(apply(w,apply(b,b)),apply(w,apply(w,b))),apply(w,apply(w,b)))),apply(w,apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f197,f162]) ).

fof(f197,plain,
    ! [X3,X4,X5] : apply(apply(w,apply(apply(apply(w,apply(b,b)),X3),X4)),X5) = apply(apply(apply(X3,X3),apply(X4,X5)),X5),
    inference(superposition,[],[f22,f20]) ).

fof(f16640,plain,
    ( spl0_41
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f16406,f142,f963]) ).

fof(f963,plain,
    ( spl0_41
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f16406,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f195,f144]) ).

fof(f16611,plain,
    spl0_315,
    inference(avatar_split_clause,[],[f16440,f16608]) ).

fof(f16608,plain,
    ( spl0_315
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),w) = apply(apply(w,apply(w,apply(w,apply(w,w)))),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f16440,plain,
    apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),w) = apply(apply(w,apply(w,apply(w,apply(w,w)))),w),
    inference(superposition,[],[f195,f4219]) ).

fof(f16600,plain,
    ( spl0_314
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f16416,f63,f16597]) ).

fof(f16597,plain,
    ( spl0_314
  <=> apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,b),apply(w,b)))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f16416,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(w,b),apply(w,b)))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f195,f65]) ).

fof(f16595,plain,
    ( spl0_313
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f16590,f300,f294,f16592]) ).

fof(f16592,plain,
    ( spl0_313
  <=> apply(apply(w,apply(w,apply(apply(b,b),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(apply(b,apply(b,b)),b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f16590,plain,
    ( apply(apply(w,apply(w,apply(apply(b,b),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(apply(b,apply(b,b)),b)))),b)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16408,f296]) ).

fof(f16408,plain,
    ( apply(apply(w,apply(w,apply(apply(b,b),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(apply(w,apply(w,apply(w,w))),b)))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f195,f302]) ).

fof(f16336,plain,
    ( spl0_312
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f16331,f300,f16333]) ).

fof(f16333,plain,
    ( spl0_312
  <=> apply(apply(w,apply(w,apply(b,apply(apply(b,b),b)))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f16331,plain,
    ( apply(apply(w,apply(w,apply(b,apply(apply(b,b),b)))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16071,f1]) ).

fof(f16071,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))))),b) = apply(apply(w,apply(w,apply(apply(apply(b,b),apply(b,b)),b))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f133,f302]) ).

fof(f16329,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f16133,f8951]) ).

fof(f8951,plain,
    ( spl0_174
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,b))))),w) = apply(apply(w,apply(w,apply(w,apply(w,w)))),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f16133,plain,
    apply(apply(w,apply(w,apply(w,apply(w,apply(w,b))))),w) = apply(apply(w,apply(w,apply(w,apply(w,w)))),w),
    inference(superposition,[],[f133,f1253]) ).

fof(f16312,plain,
    ( spl0_311
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f16094,f8900,f16309]) ).

fof(f16309,plain,
    ( spl0_311
  <=> apply(apply(w,apply(w,apply(w,apply(w,strong_fixed_point)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f16094,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,strong_fixed_point)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f133,f8902]) ).

fof(f16295,plain,
    spl0_310,
    inference(avatar_split_clause,[],[f16098,f16292]) ).

fof(f16292,plain,
    ( spl0_310
  <=> apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(apply(w,b),w)))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f16098,plain,
    apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(apply(w,b),w)))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,b),w)),
    inference(superposition,[],[f133,f542]) ).

fof(f16281,plain,
    ( spl0_309
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f16081,f6,f16278]) ).

fof(f16278,plain,
    ( spl0_309
  <=> apply(apply(w,apply(w,apply(strong_fixed_point,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f16081,plain,
    ( apply(apply(w,apply(w,apply(strong_fixed_point,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f133,f8]) ).

fof(f16275,plain,
    spl0_308,
    inference(avatar_split_clause,[],[f16097,f16272]) ).

fof(f16272,plain,
    ( spl0_308
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(b,w))))),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f16097,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(b,w))))),apply(w,apply(b,w))),
    inference(superposition,[],[f133,f621]) ).

fof(f16267,plain,
    ( spl0_307
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f16262,f294,f16264]) ).

fof(f16264,plain,
    ( spl0_307
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,apply(b,b)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f16262,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,apply(b,b)))))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16070,f133]) ).

fof(f16070,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b) = apply(apply(w,apply(w,apply(apply(apply(b,apply(b,b)),b),b))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f133,f296]) ).

fof(f16240,plain,
    ( spl0_122
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f16069,f142,f4016]) ).

fof(f4016,plain,
    ( spl0_122
  <=> apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f16069,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f133,f144]) ).

fof(f16213,plain,
    ( spl0_306
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f16088,f63,f16210]) ).

fof(f16210,plain,
    ( spl0_306
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,b))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f16088,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,b))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f133,f65]) ).

fof(f15966,plain,
    ( spl0_305
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15961,f300,f15963]) ).

fof(f15963,plain,
    ( spl0_305
  <=> apply(apply(b,apply(apply(w,b),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f15961,plain,
    ( apply(apply(b,apply(apply(w,b),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15863,f212]) ).

fof(f15863,plain,
    ( apply(apply(w,apply(apply(b,b),apply(b,b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f122,f302]) ).

fof(f15960,plain,
    ( spl0_304
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15955,f300,f15957]) ).

fof(f15955,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(b,apply(apply(b,b),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15855,f1]) ).

fof(f15855,plain,
    ( apply(apply(apply(w,b),apply(apply(b,b),apply(b,b))),b) = apply(apply(apply(b,b),apply(b,b)),apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b))
    | ~ spl0_11 ),
    inference(superposition,[],[f47,f302]) ).

fof(f15954,plain,
    ( spl0_303
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15949,f300,f15951]) ).

fof(f15951,plain,
    ( spl0_303
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(b,apply(apply(b,b),apply(b,apply(apply(b,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f15949,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(b,apply(apply(b,b),apply(b,apply(apply(b,b),b))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15948,f1]) ).

fof(f15948,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(b,apply(apply(b,b),apply(apply(apply(b,b),apply(b,b)),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15867,f1]) ).

fof(f15867,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(apply(apply(b,b),apply(b,b)),apply(apply(apply(b,b),apply(b,b)),b))
    | ~ spl0_11 ),
    inference(superposition,[],[f236,f302]) ).

fof(f15947,plain,
    ( spl0_302
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15858,f300,f15944]) ).

fof(f15944,plain,
    ( spl0_302
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b),apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f15858,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(superposition,[],[f58,f302]) ).

fof(f15940,plain,
    ( spl0_301
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15935,f300,f142,f15937]) ).

fof(f15937,plain,
    ( spl0_301
  <=> apply(b,apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f15935,plain,
    ( apply(b,apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15934,f144]) ).

fof(f15934,plain,
    ( apply(b,apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(apply(w,apply(w,w)),b))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15933,f1]) ).

fof(f15933,plain,
    ( apply(apply(w,apply(w,apply(apply(w,apply(w,w)),b))),b) = apply(apply(apply(b,b),apply(b,b)),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15850,f3540]) ).

fof(f15850,plain,
    ( apply(apply(apply(b,b),apply(b,b)),b) = apply(apply(w,apply(apply(w,apply(w,apply(w,w))),b)),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f17,f302]) ).

fof(f15932,plain,
    ( spl0_300
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15856,f300,f15929]) ).

fof(f15929,plain,
    ( spl0_300
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f15856,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(b,b),apply(b,b)))
    | ~ spl0_11 ),
    inference(superposition,[],[f51,f302]) ).

fof(f15927,plain,
    ( spl0_37
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15853,f300,f918]) ).

fof(f918,plain,
    ( spl0_37
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f15853,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f19,f302]) ).

fof(f15926,plain,
    ( spl0_299
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15862,f300,f15923]) ).

fof(f15923,plain,
    ( spl0_299
  <=> apply(apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f15862,plain,
    ( apply(apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f107,f302]) ).

fof(f15921,plain,
    ( spl0_298
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15916,f300,f15918]) ).

fof(f15918,plain,
    ( spl0_298
  <=> apply(apply(b,apply(apply(b,b),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f15916,plain,
    ( apply(apply(b,apply(apply(b,b),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15852,f1]) ).

fof(f15852,plain,
    ( apply(apply(apply(apply(b,b),apply(b,b)),b),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f16,f302]) ).

fof(f15915,plain,
    ( spl0_297
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15857,f300,f15912]) ).

fof(f15912,plain,
    ( spl0_297
  <=> apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f15857,plain,
    ( apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f56,f302]) ).

fof(f15910,plain,
    ( spl0_296
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15905,f300,f15907]) ).

fof(f15907,plain,
    ( spl0_296
  <=> apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(b,apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f15905,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(b,apply(apply(b,b),b)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15854,f1]) ).

fof(f15854,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),apply(apply(apply(b,b),apply(b,b)),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f46,f302]) ).

fof(f15904,plain,
    ( spl0_295
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15899,f300,f15901]) ).

fof(f15901,plain,
    ( spl0_295
  <=> apply(apply(w,apply(b,apply(apply(b,b),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f15899,plain,
    ( apply(apply(w,apply(b,apply(apply(b,b),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15865,f1]) ).

fof(f15865,plain,
    ( apply(apply(w,apply(apply(apply(b,b),apply(b,b)),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f194,f302]) ).

fof(f15898,plain,
    ( spl0_294
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15869,f300,f15895]) ).

fof(f15895,plain,
    ( spl0_294
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f15869,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))))
    | ~ spl0_11 ),
    inference(superposition,[],[f1253,f302]) ).

fof(f15893,plain,
    ( spl0_293
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15888,f300,f294,f15890]) ).

fof(f15890,plain,
    ( spl0_293
  <=> apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(b,apply(apply(w,b),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f15888,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(b,apply(apply(w,b),b)),b)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15887,f212]) ).

fof(f15887,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(apply(b,b),apply(b,b))),b)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15848,f296]) ).

fof(f15848,plain,
    ( apply(apply(w,apply(apply(b,b),apply(b,b))),b) = apply(apply(w,apply(w,apply(apply(w,apply(w,apply(w,w))),b))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f3540,f302]) ).

fof(f15886,plain,
    ( spl0_292
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15881,f300,f15883]) ).

fof(f15883,plain,
    ( spl0_292
  <=> apply(b,apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f15881,plain,
    ( apply(b,apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15851,f1]) ).

fof(f15851,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(b,b),apply(b,b)),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f302]) ).

fof(f15880,plain,
    ( spl0_291
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15870,f300,f15877]) ).

fof(f15877,plain,
    ( spl0_291
  <=> apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f15870,plain,
    ( apply(apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f4752,f302]) ).

fof(f15875,plain,
    ( spl0_290
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f15864,f300,f15872]) ).

fof(f15872,plain,
    ( spl0_290
  <=> apply(apply(w,apply(w,apply(apply(b,b),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f15864,plain,
    ( apply(apply(w,apply(w,apply(apply(b,b),apply(b,b)))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w))))))),b)
    | ~ spl0_11 ),
    inference(superposition,[],[f131,f302]) ).

fof(f15846,plain,
    spl0_289,
    inference(avatar_split_clause,[],[f15685,f15843]) ).

fof(f15843,plain,
    ( spl0_289
  <=> apply(apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f15685,plain,
    apply(apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f117,f162]) ).

fof(f15841,plain,
    spl0_288,
    inference(avatar_split_clause,[],[f15602,f15838]) ).

fof(f15838,plain,
    ( spl0_288
  <=> apply(apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f15602,plain,
    apply(apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f162,f10939]) ).

fof(f15836,plain,
    spl0_287,
    inference(avatar_split_clause,[],[f15686,f15833]) ).

fof(f15833,plain,
    ( spl0_287
  <=> apply(apply(w,apply(w,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f15686,plain,
    apply(apply(w,apply(w,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f132,f162]) ).

fof(f15831,plain,
    spl0_286,
    inference(avatar_split_clause,[],[f15691,f15828]) ).

fof(f15828,plain,
    ( spl0_286
  <=> apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f15691,plain,
    apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f4219,f162]) ).

fof(f15826,plain,
    spl0_285,
    inference(avatar_split_clause,[],[f15821,f15823]) ).

fof(f15823,plain,
    ( spl0_285
  <=> apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f15821,plain,
    apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15820,f3540]) ).

fof(f15820,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15666,f17]) ).

fof(f15666,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f15,f162]) ).

fof(f15818,plain,
    spl0_271,
    inference(avatar_split_clause,[],[f15615,f15701]) ).

fof(f15701,plain,
    ( spl0_271
  <=> apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f15615,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))),
    inference(superposition,[],[f162,f47]) ).

fof(f15815,plain,
    spl0_282,
    inference(avatar_split_clause,[],[f15814,f15789]) ).

fof(f15789,plain,
    ( spl0_282
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f15814,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),
    inference(forward_demodulation,[],[f15596,f179]) ).

fof(f15596,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),
    inference(superposition,[],[f162,f92]) ).

fof(f15813,plain,
    spl0_270,
    inference(avatar_split_clause,[],[f15812,f15694]) ).

fof(f15694,plain,
    ( spl0_270
  <=> apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f15812,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f15625,f93]) ).

fof(f15625,plain,
    apply(apply(apply(w,apply(b,apply(w,b))),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f97,f162]) ).

fof(f15809,plain,
    spl0_284,
    inference(avatar_split_clause,[],[f15565,f15806]) ).

fof(f15806,plain,
    ( spl0_284
  <=> apply(apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,b)),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f15565,plain,
    apply(apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,b)),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(apply(w,apply(w,b)),apply(w,b)))),
    inference(superposition,[],[f162,f236]) ).

fof(f15804,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f15563,f1477]) ).

fof(f1477,plain,
    ( spl0_68
  <=> apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f15563,plain,
    apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f162,f2]) ).

fof(f15803,plain,
    spl0_283,
    inference(avatar_split_clause,[],[f15600,f15800]) ).

fof(f15800,plain,
    ( spl0_283
  <=> apply(apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f15600,plain,
    apply(apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f162,f621]) ).

fof(f15792,plain,
    spl0_282,
    inference(avatar_split_clause,[],[f15787,f15789]) ).

fof(f15787,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),
    inference(forward_demodulation,[],[f15786,f179]) ).

fof(f15786,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),
    inference(forward_demodulation,[],[f15593,f17]) ).

fof(f15593,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),
    inference(superposition,[],[f162,f51]) ).

fof(f15783,plain,
    spl0_281,
    inference(avatar_split_clause,[],[f15579,f15780]) ).

fof(f15780,plain,
    ( spl0_281
  <=> apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f15579,plain,
    apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) = apply(apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),
    inference(superposition,[],[f162,f4219]) ).

fof(f15777,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f15776,f15770]) ).

fof(f15776,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(b,b),apply(w,apply(w,b))))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f15621,f3540]) ).

fof(f15621,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f76,f162]) ).

fof(f15773,plain,
    spl0_280,
    inference(avatar_split_clause,[],[f15768,f15770]) ).

fof(f15768,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(b,b),apply(w,apply(w,b))))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f15613,f3540]) ).

fof(f15613,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f162,f76]) ).

fof(f15767,plain,
    spl0_279,
    inference(avatar_split_clause,[],[f15601,f15764]) ).

fof(f15764,plain,
    ( spl0_279
  <=> apply(apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f15601,plain,
    apply(apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f162,f542]) ).

fof(f15756,plain,
    spl0_278,
    inference(avatar_split_clause,[],[f15751,f15753]) ).

fof(f15753,plain,
    ( spl0_278
  <=> apply(apply(w,apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(apply(b,apply(w,apply(w,b))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))))) = apply(apply(apply(w,w),apply(b,apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(b,apply(w,apply(w,b))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f15751,plain,
    apply(apply(w,apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(apply(b,apply(w,apply(w,b))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))))) = apply(apply(apply(w,w),apply(b,apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(apply(b,apply(w,apply(w,b))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))))),
    inference(forward_demodulation,[],[f15574,f1]) ).

fof(f15574,plain,
    apply(apply(w,apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b))))),apply(apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b)))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b)))))) = apply(apply(apply(w,w),apply(b,apply(w,apply(w,b)))),apply(apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b)))),apply(apply(b,apply(w,apply(w,b))),apply(b,apply(w,apply(w,b)))))),
    inference(superposition,[],[f162,f25]) ).

fof(f15748,plain,
    spl0_277,
    inference(avatar_split_clause,[],[f15743,f15745]) ).

fof(f15745,plain,
    ( spl0_277
  <=> apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f15743,plain,
    apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15742,f17]) ).

fof(f15742,plain,
    apply(apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15741,f93]) ).

fof(f15741,plain,
    apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15624,f3540]) ).

fof(f15624,plain,
    apply(apply(apply(apply(w,apply(b,w)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f170,f162]) ).

fof(f15739,plain,
    spl0_276,
    inference(avatar_split_clause,[],[f15594,f15736]) ).

fof(f15736,plain,
    ( spl0_276
  <=> apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f15594,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f162,f162]) ).

fof(f15734,plain,
    spl0_275,
    inference(avatar_split_clause,[],[f15669,f15731]) ).

fof(f15731,plain,
    ( spl0_275
  <=> apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f15669,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,w),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f45,f162]) ).

fof(f15729,plain,
    spl0_274,
    inference(avatar_split_clause,[],[f15724,f15726]) ).

fof(f15726,plain,
    ( spl0_274
  <=> apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f15724,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(forward_demodulation,[],[f15566,f162]) ).

fof(f15566,plain,
    apply(apply(w,apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f162,f43]) ).

fof(f15719,plain,
    ( spl0_273
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f15692,f6,f15716]) ).

fof(f15716,plain,
    ( spl0_273
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f15692,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))) = apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f162]) ).

fof(f15712,plain,
    spl0_272,
    inference(avatar_split_clause,[],[f15707,f15709]) ).

fof(f15709,plain,
    ( spl0_272
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f15707,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(forward_demodulation,[],[f15688,f3540]) ).

fof(f15688,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(w,apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))),
    inference(superposition,[],[f181,f162]) ).

fof(f15704,plain,
    spl0_271,
    inference(avatar_split_clause,[],[f15620,f15701]) ).

fof(f15620,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(w,b))))),apply(w,apply(w,apply(w,b)))) = apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(w,b))))),
    inference(superposition,[],[f47,f162]) ).

fof(f15697,plain,
    spl0_270,
    inference(avatar_split_clause,[],[f15668,f15694]) ).

fof(f15668,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(w,b)),apply(w,apply(w,b)))) = apply(apply(apply(w,apply(w,b)),apply(w,apply(w,b))),apply(apply(w,apply(w,apply(w,b))),apply(apply(w,apply(w,b)),apply(w,apply(w,b))))),
    inference(superposition,[],[f43,f162]) ).

fof(f15556,plain,
    spl0_269,
    inference(avatar_split_clause,[],[f15324,f15553]) ).

fof(f15553,plain,
    ( spl0_269
  <=> apply(apply(w,apply(b,b)),apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(apply(apply(w,b),apply(w,apply(b,b))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f15324,plain,
    apply(apply(w,apply(b,b)),apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(apply(apply(w,b),apply(w,apply(b,b))),apply(apply(w,w),b)),
    inference(superposition,[],[f89,f1853]) ).

fof(f15551,plain,
    spl0_268,
    inference(avatar_split_clause,[],[f15336,f15548]) ).

fof(f15548,plain,
    ( spl0_268
  <=> apply(apply(apply(w,b),apply(w,apply(b,apply(w,apply(w,apply(w,w)))))),w) = apply(apply(w,apply(b,apply(w,apply(w,apply(w,w))))),apply(apply(w,w),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f15336,plain,
    apply(apply(apply(w,b),apply(w,apply(b,apply(w,apply(w,apply(w,w)))))),w) = apply(apply(w,apply(b,apply(w,apply(w,apply(w,w))))),apply(apply(w,w),apply(w,w))),
    inference(superposition,[],[f89,f179]) ).

fof(f15535,plain,
    spl0_265,
    inference(avatar_split_clause,[],[f15534,f15508]) ).

fof(f15508,plain,
    ( spl0_265
  <=> apply(apply(w,apply(b,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(apply(w,b),apply(apply(b,apply(w,apply(b,w))),w)),apply(b,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f15534,plain,
    apply(apply(w,apply(b,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(apply(w,b),apply(apply(b,apply(w,apply(b,w))),w)),apply(b,w)),
    inference(forward_demodulation,[],[f15393,f17]) ).

fof(f15393,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,apply(b,w))),w)),apply(b,w)) = apply(apply(apply(w,b),apply(w,apply(b,w))),apply(w,apply(b,w))),
    inference(superposition,[],[f89,f61]) ).

fof(f61,plain,
    ! [X10,X8,X9] : apply(X8,apply(X9,apply(X8,apply(X9,X10)))) = apply(apply(apply(w,b),apply(apply(b,X8),X9)),X10),
    inference(forward_demodulation,[],[f49,f1]) ).

fof(f49,plain,
    ! [X10,X8,X9] : apply(apply(apply(w,b),apply(apply(b,X8),X9)),X10) = apply(apply(apply(b,X8),X9),apply(X8,apply(X9,X10))),
    inference(superposition,[],[f19,f1]) ).

fof(f15529,plain,
    ( spl0_267
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f15335,f63,f15526]) ).

fof(f15526,plain,
    ( spl0_267
  <=> apply(apply(w,apply(b,apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,b),apply(w,apply(b,apply(w,b)))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f15335,plain,
    ( apply(apply(w,apply(b,apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,b),apply(w,apply(b,apply(w,b)))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f89,f65]) ).

fof(f15520,plain,
    ( spl0_266
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f15389,f6,f15517]) ).

fof(f15517,plain,
    ( spl0_266
  <=> apply(apply(w,apply(b,strong_fixed_point)),apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))) = apply(apply(apply(w,b),apply(w,apply(b,strong_fixed_point))),apply(apply(w,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f15389,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))) = apply(apply(apply(w,b),apply(w,apply(b,strong_fixed_point))),apply(apply(w,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f89,f4482]) ).

fof(f15511,plain,
    spl0_265,
    inference(avatar_split_clause,[],[f15506,f15508]) ).

fof(f15506,plain,
    apply(apply(w,apply(b,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(apply(w,b),apply(apply(b,apply(w,apply(b,w))),w)),apply(b,w)),
    inference(forward_demodulation,[],[f15425,f17]) ).

fof(f15425,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,apply(b,w))),w)),apply(b,w)) = apply(apply(apply(w,b),apply(w,apply(b,w))),apply(w,apply(b,w))),
    inference(superposition,[],[f61,f89]) ).

fof(f15505,plain,
    ( spl0_264
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f15390,f6,f15502]) ).

fof(f15502,plain,
    ( spl0_264
  <=> apply(apply(apply(w,b),apply(w,apply(b,strong_fixed_point))),apply(apply(w,w),b)) = apply(apply(w,apply(b,strong_fixed_point)),apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f15390,plain,
    ( apply(apply(apply(w,b),apply(w,apply(b,strong_fixed_point))),apply(apply(w,w),b)) = apply(apply(w,apply(b,strong_fixed_point)),apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f89,f5346]) ).

fof(f15274,plain,
    spl0_263,
    inference(avatar_split_clause,[],[f15198,f15271]) ).

fof(f15271,plain,
    ( spl0_263
  <=> apply(apply(apply(w,apply(b,w)),apply(apply(b,b),apply(b,b))),apply(b,b)) = apply(apply(w,apply(b,b)),apply(apply(b,b),apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f15198,plain,
    apply(apply(apply(w,apply(b,w)),apply(apply(b,b),apply(b,b))),apply(b,b)) = apply(apply(w,apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f84,f80]) ).

fof(f14766,plain,
    spl0_262,
    inference(avatar_split_clause,[],[f14471,f14744]) ).

fof(f14744,plain,
    ( spl0_262
  <=> apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) = apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f14471,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) = apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f61,f79]) ).

fof(f14762,plain,
    ( spl0_259
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f14761,f6,f14679]) ).

fof(f14679,plain,
    ( spl0_259
  <=> apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f14761,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b)))))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f14674,f1853]) ).

fof(f14674,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,w),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f79]) ).

fof(f14747,plain,
    spl0_262,
    inference(avatar_split_clause,[],[f14368,f14744]) ).

fof(f14368,plain,
    apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) = apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f79,f61]) ).

fof(f14740,plain,
    spl0_261,
    inference(avatar_split_clause,[],[f14739,f14719]) ).

fof(f14719,plain,
    ( spl0_261
  <=> apply(apply(w,apply(b,b)),apply(apply(w,b),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f14739,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,b),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b))))))),
    inference(forward_demodulation,[],[f14372,f1853]) ).

fof(f14372,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,b),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,w),b)))))),
    inference(superposition,[],[f79,f1853]) ).

fof(f14722,plain,
    spl0_261,
    inference(avatar_split_clause,[],[f14717,f14719]) ).

fof(f14717,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,b),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b))))))),
    inference(forward_demodulation,[],[f14537,f1853]) ).

fof(f14537,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,b),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,w),b)))))),
    inference(superposition,[],[f1853,f79]) ).

fof(f14714,plain,
    ( spl0_260
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f14423,f6,f14701]) ).

fof(f14701,plain,
    ( spl0_260
  <=> apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,b),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(w,b),apply(apply(w,b),b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f14423,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,b),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(w,b),apply(apply(w,b),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f79,f4482]) ).

fof(f14704,plain,
    ( spl0_260
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f14673,f6,f14701]) ).

fof(f14673,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,b),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(w,b),apply(apply(w,b),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f79]) ).

fof(f14682,plain,
    ( spl0_259
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f14677,f6,f14679]) ).

fof(f14677,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(w,b),apply(apply(w,w),b)))))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f14424,f1853]) ).

fof(f14424,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,b),apply(apply(w,w),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f79,f5346]) ).

fof(f14251,plain,
    spl0_258,
    inference(avatar_split_clause,[],[f14246,f14248]) ).

fof(f14248,plain,
    ( spl0_258
  <=> apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f14246,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f13941,f17]) ).

fof(f13941,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f44,f78]) ).

fof(f78,plain,
    ! [X8,X7] : apply(X7,apply(apply(X8,X8),apply(X8,X8))) = apply(apply(w,apply(b,apply(w,apply(b,X7)))),X8),
    inference(superposition,[],[f20,f20]) ).

fof(f14233,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f14232,f1360]) ).

fof(f1360,plain,
    ( spl0_64
  <=> apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f14232,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f13944,f17]) ).

fof(f13944,plain,
    apply(apply(w,apply(w,b)),apply(apply(apply(w,b),apply(w,apply(w,b))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f44,f46]) ).

fof(f14190,plain,
    ( spl0_257
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f14185,f63,f14187]) ).

fof(f14187,plain,
    ( spl0_257
  <=> apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f14185,plain,
    ( apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f13897,f65]) ).

fof(f13897,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,apply(w,b))),apply(w,b)))),
    inference(superposition,[],[f44,f117]) ).

fof(f13840,plain,
    spl0_252,
    inference(avatar_split_clause,[],[f13839,f13687]) ).

fof(f13687,plain,
    ( spl0_252
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f13839,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f13448,f542]) ).

fof(f13448,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(superposition,[],[f236,f542]) ).

fof(f13836,plain,
    spl0_249,
    inference(avatar_split_clause,[],[f13835,f13624]) ).

fof(f13624,plain,
    ( spl0_249
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f13835,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f13481,f621]) ).

fof(f13481,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(superposition,[],[f236,f621]) ).

fof(f13831,plain,
    ( spl0_256
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f13424,f142,f13828]) ).

fof(f13828,plain,
    ( spl0_256
  <=> apply(apply(b,apply(b,b)),apply(apply(b,apply(b,b)),b)) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f13424,plain,
    ( apply(apply(b,apply(b,b)),apply(apply(b,apply(b,b)),b)) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f236,f144]) ).

fof(f13805,plain,
    spl0_250,
    inference(avatar_split_clause,[],[f13804,f13638]) ).

fof(f13638,plain,
    ( spl0_250
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f13804,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f13803,f621]) ).

fof(f13803,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(b,w))),
    inference(forward_demodulation,[],[f13483,f17]) ).

fof(f13483,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(b,w))),
    inference(superposition,[],[f236,f10939]) ).

fof(f13802,plain,
    spl0_252,
    inference(avatar_split_clause,[],[f13801,f13687]) ).

fof(f13801,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f13514,f542]) ).

fof(f13514,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(superposition,[],[f542,f236]) ).

fof(f13793,plain,
    ( spl0_255
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f13444,f8900,f13790]) ).

fof(f13790,plain,
    ( spl0_255
  <=> apply(apply(w,apply(apply(b,apply(w,b)),strong_fixed_point)),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f13444,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),strong_fixed_point)),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_171 ),
    inference(superposition,[],[f236,f8902]) ).

fof(f13788,plain,
    ( spl0_254
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f13783,f294,f13785]) ).

fof(f13785,plain,
    ( spl0_254
  <=> apply(apply(b,b),apply(apply(w,w),apply(b,b))) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f13783,plain,
    ( apply(apply(b,b),apply(apply(w,w),apply(b,b))) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13782,f25]) ).

fof(f13782,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,w))))),b) = apply(apply(b,b),apply(b,apply(apply(b,b),apply(b,b))))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13781,f1]) ).

fof(f13781,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,w))))),b) = apply(apply(b,b),apply(b,apply(apply(apply(b,apply(b,b)),b),b)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13425,f1]) ).

fof(f13425,plain,
    ( apply(apply(apply(b,apply(b,b)),b),apply(apply(apply(b,apply(b,b)),b),b)) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f236,f296]) ).

fof(f13770,plain,
    spl0_249,
    inference(avatar_split_clause,[],[f13769,f13624]) ).

fof(f13769,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f13515,f621]) ).

fof(f13515,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(superposition,[],[f621,f236]) ).

fof(f13737,plain,
    spl0_250,
    inference(avatar_split_clause,[],[f13736,f13638]) ).

fof(f13736,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f13449,f10939]) ).

fof(f13449,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(superposition,[],[f236,f10939]) ).

fof(f13706,plain,
    ( spl0_253
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f13433,f6,f13703]) ).

fof(f13703,plain,
    ( spl0_253
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f13433,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(strong_fixed_point,apply(strong_fixed_point,apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f236,f8]) ).

fof(f13690,plain,
    spl0_252,
    inference(avatar_split_clause,[],[f13685,f13687]) ).

fof(f13685,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f13482,f542]) ).

fof(f13482,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),w))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(apply(w,b),w)),
    inference(superposition,[],[f236,f542]) ).

fof(f13670,plain,
    ( spl0_251
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f13439,f63,f13667]) ).

fof(f13667,plain,
    ( spl0_251
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f13439,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,w),apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(superposition,[],[f236,f65]) ).

fof(f13641,plain,
    spl0_250,
    inference(avatar_split_clause,[],[f13636,f13638]) ).

fof(f13636,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(forward_demodulation,[],[f13635,f621]) ).

fof(f13635,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(b,w))),
    inference(forward_demodulation,[],[f13513,f17]) ).

fof(f13513,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(b,w))),
    inference(superposition,[],[f10939,f236]) ).

fof(f13627,plain,
    spl0_249,
    inference(avatar_split_clause,[],[f13622,f13624]) ).

fof(f13622,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f13447,f621]) ).

fof(f13447,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(w,apply(apply(b,apply(w,b)),w)),apply(w,apply(b,w))),
    inference(superposition,[],[f236,f621]) ).

fof(f13319,plain,
    spl0_248,
    inference(avatar_split_clause,[],[f13318,f13313]) ).

fof(f13313,plain,
    ( spl0_248
  <=> apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f13318,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f13317,f3540]) ).

fof(f13317,plain,
    apply(apply(w,apply(apply(w,w),apply(b,b))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f13130,f1]) ).

fof(f13130,plain,
    apply(apply(w,apply(apply(w,w),apply(b,b))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f76,f12627]) ).

fof(f12627,plain,
    ! [X0,X1] : apply(apply(X1,apply(apply(w,X0),X0)),X0) = apply(apply(X1,apply(apply(w,w),X0)),X0),
    inference(backward_demodulation,[],[f207,f212]) ).

fof(f207,plain,
    ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(X0,X0))),X0) = apply(apply(X1,apply(apply(w,w),X0)),X0),
    inference(superposition,[],[f22,f15]) ).

fof(f13316,plain,
    spl0_248,
    inference(avatar_split_clause,[],[f13311,f13313]) ).

fof(f13311,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f13310,f3540]) ).

fof(f13310,plain,
    apply(apply(w,apply(apply(w,w),apply(b,b))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f13036,f1]) ).

fof(f13036,plain,
    apply(apply(w,apply(apply(w,w),apply(b,b))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f12627,f76]) ).

fof(f12871,plain,
    ( spl0_247
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f12866,f6,f12868]) ).

fof(f12868,plain,
    ( spl0_247
  <=> apply(apply(w,strong_fixed_point),b) = apply(apply(apply(w,w),apply(apply(b,w),apply(apply(w,apply(b,b)),b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f12866,plain,
    ( apply(apply(w,strong_fixed_point),b) = apply(apply(apply(w,w),apply(apply(b,w),apply(apply(w,apply(b,b)),b))),b)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f12751,f1]) ).

fof(f12751,plain,
    ( apply(apply(w,strong_fixed_point),b) = apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(w,apply(b,b)),b)),b)
    | ~ spl0_1 ),
    inference(superposition,[],[f212,f8]) ).

fof(f12515,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f12514,f4680]) ).

fof(f4680,plain,
    ( spl0_144
  <=> apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f12514,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f12513,f1]) ).

fof(f12513,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(forward_demodulation,[],[f12272,f344]) ).

fof(f12272,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(apply(b,w),apply(w,w))),apply(b,b)),
    inference(superposition,[],[f210,f76]) ).

fof(f210,plain,
    ! [X8,X6,X7] : apply(apply(X8,apply(apply(X6,X7),X7)),X7) = apply(apply(w,apply(apply(b,X8),apply(w,X6))),X7),
    inference(superposition,[],[f22,f2]) ).

fof(f12483,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f12482,f4680]) ).

fof(f12482,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f12481,f1]) ).

fof(f12481,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(forward_demodulation,[],[f12356,f344]) ).

fof(f12356,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(apply(b,w),apply(w,w))),apply(b,b)),
    inference(superposition,[],[f76,f210]) ).

fof(f11528,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f11527,f11398]) ).

fof(f11398,plain,
    ( spl0_236
  <=> apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f11527,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f11361,f10939]) ).

fof(f11361,plain,
    apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f43,f10939]) ).

fof(f11524,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f11289,f11512]) ).

fof(f11289,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(superposition,[],[f10939,f47]) ).

fof(f11519,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f11518,f11398]) ).

fof(f11518,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f11336,f10939]) ).

fof(f11336,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f43,f10939]) ).

fof(f11515,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f11311,f11512]) ).

fof(f11311,plain,
    apply(apply(apply(w,b),apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,w))),
    inference(superposition,[],[f47,f10939]) ).

fof(f11510,plain,
    spl0_240,
    inference(avatar_split_clause,[],[f11509,f11426]) ).

fof(f11426,plain,
    ( spl0_240
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f11509,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11508,f10939]) ).

fof(f11508,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11507,f10939]) ).

fof(f11507,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11391,f10939]) ).

fof(f11391,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(superposition,[],[f4219,f10939]) ).

fof(f11499,plain,
    spl0_245,
    inference(avatar_split_clause,[],[f11494,f11496]) ).

fof(f11496,plain,
    ( spl0_245
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(apply(w,w),apply(b,w)))))),apply(w,apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(w,apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f11494,plain,
    apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(apply(w,w),apply(b,w)))))),apply(w,apply(apply(w,w),apply(b,w)))) = apply(apply(w,w),apply(w,apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f11362,f3540]) ).

fof(f11362,plain,
    apply(apply(w,w),apply(w,apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,w),apply(b,w))))),apply(w,apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f179,f10939]) ).

fof(f11491,plain,
    spl0_243,
    inference(avatar_split_clause,[],[f11490,f11463]) ).

fof(f11463,plain,
    ( spl0_243
  <=> apply(apply(w,apply(w,apply(w,b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f11490,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f11360,f10939]) ).

fof(f11360,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f117,f10939]) ).

fof(f11478,plain,
    spl0_239,
    inference(avatar_split_clause,[],[f11385,f11415]) ).

fof(f11415,plain,
    ( spl0_239
  <=> apply(apply(w,apply(w,w)),apply(apply(b,apply(apply(w,w),apply(b,w))),apply(b,apply(apply(w,w),apply(b,w))))) = apply(apply(w,w),apply(b,apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f11385,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(apply(w,w),apply(b,w))),apply(b,apply(apply(w,w),apply(b,w))))) = apply(apply(w,w),apply(b,apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f25,f10939]) ).

fof(f11475,plain,
    spl0_244,
    inference(avatar_split_clause,[],[f11337,f11472]) ).

fof(f11472,plain,
    ( spl0_244
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f11337,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f45,f10939]) ).

fof(f11466,plain,
    spl0_243,
    inference(avatar_split_clause,[],[f11461,f11463]) ).

fof(f11461,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f11352,f10939]) ).

fof(f11352,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,w),apply(b,w))) = apply(apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f117,f10939]) ).

fof(f11453,plain,
    spl0_240,
    inference(avatar_split_clause,[],[f11452,f11426]) ).

fof(f11452,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11451,f10939]) ).

fof(f11451,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11450,f10939]) ).

fof(f11450,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11359,f10939]) ).

fof(f11359,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(superposition,[],[f4219,f10939]) ).

fof(f11449,plain,
    spl0_240,
    inference(avatar_split_clause,[],[f11448,f11426]) ).

fof(f11448,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11447,f10939]) ).

fof(f11447,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11446,f10939]) ).

fof(f11446,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11304,f10939]) ).

fof(f11304,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w))))),
    inference(superposition,[],[f10939,f4219]) ).

fof(f11445,plain,
    spl0_242,
    inference(avatar_split_clause,[],[f11440,f11442]) ).

fof(f11442,plain,
    ( spl0_242
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f11440,plain,
    apply(apply(w,apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f11355,f3540]) ).

fof(f11355,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f181,f10939]) ).

fof(f11437,plain,
    spl0_241,
    inference(avatar_split_clause,[],[f11432,f11434]) ).

fof(f11434,plain,
    ( spl0_241
  <=> apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f11432,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(w,apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f11431,f3540]) ).

fof(f11431,plain,
    apply(apply(w,apply(apply(w,w),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))) = apply(apply(w,w),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f11334,f17]) ).

fof(f11334,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f15,f10939]) ).

fof(f11429,plain,
    spl0_240,
    inference(avatar_split_clause,[],[f11424,f11426]) ).

fof(f11424,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11423,f10939]) ).

fof(f11423,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11422,f10939]) ).

fof(f11422,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(forward_demodulation,[],[f11357,f10939]) ).

fof(f11357,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),
    inference(superposition,[],[f4219,f10939]) ).

fof(f11418,plain,
    spl0_239,
    inference(avatar_split_clause,[],[f11298,f11415]) ).

fof(f11298,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(apply(w,w),apply(b,w))),apply(b,apply(apply(w,w),apply(b,w))))) = apply(apply(w,w),apply(b,apply(apply(w,w),apply(b,w)))),
    inference(superposition,[],[f10939,f25]) ).

fof(f11412,plain,
    ( spl0_238
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f11358,f6,f11409]) ).

fof(f11409,plain,
    ( spl0_238
  <=> apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,w),apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f11358,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,w),apply(b,w))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f10939]) ).

fof(f11407,plain,
    spl0_237,
    inference(avatar_split_clause,[],[f11353,f11404]) ).

fof(f11404,plain,
    ( spl0_237
  <=> apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f11353,plain,
    apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f132,f10939]) ).

fof(f11401,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f11396,f11398]) ).

fof(f11396,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,w),apply(b,w)))),
    inference(forward_demodulation,[],[f11290,f10939]) ).

fof(f11290,plain,
    apply(apply(w,apply(w,w)),apply(apply(apply(w,w),apply(b,w)),apply(apply(w,w),apply(b,w)))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f10939,f43]) ).

fof(f11285,plain,
    spl0_235,
    inference(avatar_split_clause,[],[f11280,f11282]) ).

fof(f11282,plain,
    ( spl0_235
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f11280,plain,
    apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f11092,f3540]) ).

fof(f11092,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f10938,f621]) ).

fof(f10938,plain,
    ! [X1] : apply(apply(w,apply(X1,X1)),X1) = apply(apply(apply(w,w),apply(b,w)),X1),
    inference(superposition,[],[f10835,f122]) ).

fof(f11271,plain,
    spl0_233,
    inference(avatar_split_clause,[],[f11270,f11230]) ).

fof(f11230,plain,
    ( spl0_233
  <=> apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f11270,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f11269,f179]) ).

fof(f11269,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f11086,f17]) ).

fof(f11086,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f10938,f51]) ).

fof(f11243,plain,
    spl0_234,
    inference(avatar_split_clause,[],[f11238,f11240]) ).

fof(f11240,plain,
    ( spl0_234
  <=> apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f11238,plain,
    apply(apply(w,apply(w,apply(apply(w,w),apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f11093,f3540]) ).

fof(f11093,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,w),apply(b,w)),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f10938,f542]) ).

fof(f11233,plain,
    spl0_233,
    inference(avatar_split_clause,[],[f11228,f11230]) ).

fof(f11228,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f11088,f179]) ).

fof(f11088,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f10938,f92]) ).

fof(f11227,plain,
    spl0_232,
    inference(avatar_split_clause,[],[f11104,f11224]) ).

fof(f11224,plain,
    ( spl0_232
  <=> apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f11104,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)),
    inference(superposition,[],[f10938,f1253]) ).

fof(f11076,plain,
    spl0_231,
    inference(avatar_split_clause,[],[f10922,f11073]) ).

fof(f11073,plain,
    ( spl0_231
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,apply(w,b)),w)) = apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f10922,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(w,apply(w,b)),w)) = apply(apply(apply(w,w),apply(b,w)),apply(apply(w,apply(w,b)),w)),
    inference(superposition,[],[f10835,f4219]) ).

fof(f11071,plain,
    spl0_230,
    inference(avatar_split_clause,[],[f10929,f11068]) ).

fof(f11068,plain,
    ( spl0_230
  <=> apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f10929,plain,
    apply(apply(apply(w,w),apply(b,w)),apply(apply(b,w),apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(b,w))),apply(apply(b,w),apply(b,w))),
    inference(superposition,[],[f10835,f25]) ).

fof(f11058,plain,
    spl0_229,
    inference(avatar_split_clause,[],[f11053,f11055]) ).

fof(f11055,plain,
    ( spl0_229
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,apply(b,w)),apply(b,w)))),apply(b,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f11053,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,apply(b,w)),apply(b,w)))),apply(b,w)),
    inference(forward_demodulation,[],[f10997,f3540]) ).

fof(f10997,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(b,w)) = apply(apply(w,apply(apply(w,apply(w,apply(b,w))),apply(b,w))),apply(b,w)),
    inference(superposition,[],[f194,f10835]) ).

fof(f10921,plain,
    spl0_228,
    inference(avatar_split_clause,[],[f10695,f10896]) ).

fof(f10896,plain,
    ( spl0_228
  <=> apply(apply(w,w),apply(w,apply(b,w))) = apply(apply(apply(w,apply(b,w)),apply(b,w)),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f10695,plain,
    apply(apply(w,w),apply(w,apply(b,w))) = apply(apply(apply(w,apply(b,w)),apply(b,w)),apply(w,apply(b,w))),
    inference(superposition,[],[f204,f179]) ).

fof(f10912,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f10911,f817]) ).

fof(f817,plain,
    ( spl0_32
  <=> apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f10911,plain,
    apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10910,f1]) ).

fof(f10910,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10909,f344]) ).

fof(f10909,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,apply(apply(b,w),apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10685,f17]) ).

fof(f10685,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(b,apply(w,b))),
    inference(superposition,[],[f204,f45]) ).

fof(f10903,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f10902,f817]) ).

fof(f10902,plain,
    apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10901,f1]) ).

fof(f10901,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10900,f344]) ).

fof(f10900,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,apply(apply(b,w),apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f10724,f17]) ).

fof(f10724,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(b,apply(w,b))),
    inference(superposition,[],[f45,f204]) ).

fof(f10899,plain,
    spl0_228,
    inference(avatar_split_clause,[],[f10744,f10896]) ).

fof(f10744,plain,
    apply(apply(w,w),apply(w,apply(b,w))) = apply(apply(apply(w,apply(b,w)),apply(b,w)),apply(w,apply(b,w))),
    inference(superposition,[],[f179,f204]) ).

fof(f10860,plain,
    spl0_227,
    inference(avatar_split_clause,[],[f10855,f10857]) ).

fof(f10857,plain,
    ( spl0_227
  <=> apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f10855,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(w,b))),apply(w,b)),
    inference(forward_demodulation,[],[f10670,f16]) ).

fof(f10670,plain,
    apply(apply(apply(w,apply(b,w)),apply(b,apply(w,b))),apply(w,b)) = apply(apply(apply(apply(w,b),apply(w,b)),apply(w,b)),apply(w,b)),
    inference(superposition,[],[f204,f46]) ).

fof(f10847,plain,
    ( spl0_226
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f10842,f6,f10844]) ).

fof(f10844,plain,
    ( spl0_226
  <=> apply(apply(apply(w,w),apply(apply(b,w),strong_fixed_point)),apply(apply(b,b),b)) = apply(apply(apply(w,apply(b,w)),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f10842,plain,
    ( apply(apply(apply(w,w),apply(apply(b,w),strong_fixed_point)),apply(apply(b,b),b)) = apply(apply(apply(w,apply(b,w)),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10646,f1]) ).

fof(f10646,plain,
    ( apply(apply(apply(w,apply(b,w)),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),strong_fixed_point),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f204,f8]) ).

fof(f10604,plain,
    spl0_225,
    inference(avatar_split_clause,[],[f10599,f10601]) ).

fof(f10601,plain,
    ( spl0_225
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f10599,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f10598,f3540]) ).

fof(f10598,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(apply(w,w),apply(w,apply(b,w)))),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f10294,f17]) ).

fof(f10294,plain,
    apply(apply(w,apply(apply(w,w),apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(apply(w,w),apply(w,apply(b,w))),apply(w,apply(b,w))),
    inference(superposition,[],[f170,f15]) ).

fof(f10290,plain,
    ( spl0_224
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10227,f8900,f10287]) ).

fof(f10287,plain,
    ( spl0_224
  <=> apply(apply(w,apply(w,apply(w,strong_fixed_point))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f10227,plain,
    ( apply(apply(w,apply(w,apply(w,strong_fixed_point))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f194,f8902]) ).

fof(f10285,plain,
    ( spl0_223
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10219,f8900,f10282]) ).

fof(f10282,plain,
    ( spl0_223
  <=> apply(apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,apply(w,b)),b)),apply(strong_fixed_point,apply(b,apply(b,b)))) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,apply(b,apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f10219,plain,
    ( apply(apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,apply(w,b)),b)),apply(strong_fixed_point,apply(b,apply(b,b)))) = apply(apply(w,strong_fixed_point),apply(strong_fixed_point,apply(b,apply(b,b))))
    | ~ spl0_171 ),
    inference(superposition,[],[f58,f8902]) ).

fof(f10280,plain,
    ( spl0_222
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10223,f8900,f10277]) ).

fof(f10277,plain,
    ( spl0_222
  <=> apply(apply(w,apply(w,apply(apply(w,b),strong_fixed_point))),apply(apply(w,apply(w,b)),b)) = apply(apply(apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f10223,plain,
    ( apply(apply(w,apply(w,apply(apply(w,b),strong_fixed_point))),apply(apply(w,apply(w,b)),b)) = apply(apply(apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f107,f8902]) ).

fof(f10275,plain,
    ( spl0_221
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10216,f8900,f10272]) ).

fof(f10272,plain,
    ( spl0_221
  <=> apply(apply(apply(w,b),apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f10216,plain,
    ( apply(apply(apply(w,b),apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_171 ),
    inference(superposition,[],[f47,f8902]) ).

fof(f10270,plain,
    ( spl0_220
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10226,f8900,f10267]) ).

fof(f10267,plain,
    ( spl0_220
  <=> apply(apply(w,apply(w,apply(strong_fixed_point,apply(b,apply(b,b))))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,apply(w,strong_fixed_point))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f10226,plain,
    ( apply(apply(w,apply(w,apply(strong_fixed_point,apply(b,apply(b,b))))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,apply(w,strong_fixed_point))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f131,f8902]) ).

fof(f10265,plain,
    ( spl0_219
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10212,f8900,f10262]) ).

fof(f10262,plain,
    ( spl0_219
  <=> apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f10212,plain,
    ( apply(apply(w,strong_fixed_point),apply(apply(w,apply(w,b)),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f2,f8902]) ).

fof(f10260,plain,
    ( spl0_218
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10218,f8900,f10257]) ).

fof(f10257,plain,
    ( spl0_218
  <=> apply(apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(apply(w,b),strong_fixed_point)),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f10218,plain,
    ( apply(apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(apply(w,b),strong_fixed_point)),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f56,f8902]) ).

fof(f10255,plain,
    ( spl0_217
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10211,f8900,f10252]) ).

fof(f10252,plain,
    ( spl0_217
  <=> apply(apply(apply(w,b),apply(apply(b,strong_fixed_point),apply(w,apply(w,b)))),b) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(strong_fixed_point,apply(b,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f10211,plain,
    ( apply(apply(apply(w,b),apply(apply(b,strong_fixed_point),apply(w,apply(w,b)))),b) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(strong_fixed_point,apply(b,apply(b,b)))))
    | ~ spl0_171 ),
    inference(superposition,[],[f61,f8902]) ).

fof(f10250,plain,
    ( spl0_216
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10245,f8900,f10247]) ).

fof(f10247,plain,
    ( spl0_216
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(b,apply(b,b)))) = apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,apply(w,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f10245,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(b,apply(b,b)))) = apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,apply(w,b)),b)))
    | ~ spl0_171 ),
    inference(forward_demodulation,[],[f10217,f51]) ).

fof(f10217,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),strong_fixed_point),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),strong_fixed_point),apply(strong_fixed_point,apply(b,apply(b,b))))
    | ~ spl0_171 ),
    inference(superposition,[],[f51,f8902]) ).

fof(f10244,plain,
    ( spl0_215
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10215,f8900,f10241]) ).

fof(f10241,plain,
    ( spl0_215
  <=> apply(apply(w,strong_fixed_point),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f10215,plain,
    ( apply(apply(w,strong_fixed_point),apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b))) = apply(apply(apply(w,b),apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f46,f8902]) ).

fof(f10239,plain,
    ( spl0_214
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10225,f8900,f10236]) ).

fof(f10236,plain,
    ( spl0_214
  <=> apply(apply(w,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f10225,plain,
    ( apply(apply(w,apply(strong_fixed_point,apply(b,apply(b,b)))),apply(apply(w,apply(w,b)),b)) = apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f122,f8902]) ).

fof(f10234,plain,
    ( spl0_213
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f10213,f8900,f10231]) ).

fof(f10231,plain,
    ( spl0_213
  <=> apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f10213,plain,
    ( apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,apply(w,b)),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,b))),apply(apply(w,apply(w,b)),b)),apply(apply(w,apply(w,b)),b))
    | ~ spl0_171 ),
    inference(superposition,[],[f16,f8902]) ).

fof(f10186,plain,
    ( spl0_212
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f10181,f63,f10183]) ).

fof(f10183,plain,
    ( spl0_212
  <=> apply(apply(w,apply(w,apply(apply(b,apply(w,b)),apply(w,b)))),apply(w,b)) = apply(apply(w,apply(w,apply(w,w))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f10181,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(w,b)),apply(w,b)))),apply(w,b)) = apply(apply(w,apply(w,apply(w,w))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f9865,f16]) ).

fof(f9865,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(w,b)),apply(w,b)))),apply(w,b)) = apply(apply(apply(apply(w,w),apply(w,b)),apply(w,b)),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f109,f65]) ).

fof(f10109,plain,
    spl0_211,
    inference(avatar_split_clause,[],[f10104,f10106]) ).

fof(f10106,plain,
    ( spl0_211
  <=> apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,w)) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f10104,plain,
    apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,w)) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)),
    inference(forward_demodulation,[],[f10103,f3540]) ).

fof(f10103,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,w)),
    inference(forward_demodulation,[],[f9914,f17]) ).

fof(f9914,plain,
    apply(apply(apply(w,apply(w,w)),apply(b,w)),apply(b,w)) = apply(apply(w,apply(w,apply(apply(b,w),w))),apply(b,w)),
    inference(superposition,[],[f109,f621]) ).

fof(f9733,plain,
    ( spl0_210
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9728,f6,f9730]) ).

fof(f9730,plain,
    ( spl0_210
  <=> apply(apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f9728,plain,
    ( apply(apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b)))),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9727,f1]) ).

fof(f9727,plain,
    ( apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9481,f1]) ).

fof(f9481,plain,
    ( apply(apply(w,apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) = apply(apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point),apply(apply(b,b),b)),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f107,f8]) ).

fof(f9719,plain,
    ( spl0_209
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f9473,f294,f9716]) ).

fof(f9716,plain,
    ( spl0_209
  <=> apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,w)))))),b) = apply(apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f9473,plain,
    ( apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,w)))))),b) = apply(apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f107,f296]) ).

fof(f9713,plain,
    ( spl0_208
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f9472,f142,f9710]) ).

fof(f9710,plain,
    ( spl0_208
  <=> apply(apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f9472,plain,
    ( apply(apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b),b) = apply(apply(w,apply(w,apply(apply(w,b),apply(w,apply(w,w))))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f107,f144]) ).

fof(f9693,plain,
    spl0_207,
    inference(avatar_split_clause,[],[f9688,f9690]) ).

fof(f9690,plain,
    ( spl0_207
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f9688,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,w)),
    inference(forward_demodulation,[],[f9687,f3540]) ).

fof(f9687,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,w)),
    inference(forward_demodulation,[],[f9523,f17]) ).

fof(f9523,plain,
    apply(apply(apply(w,apply(w,w)),apply(b,w)),apply(b,w)) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(b,w)),
    inference(superposition,[],[f107,f621]) ).

fof(f9685,plain,
    spl0_206,
    inference(avatar_split_clause,[],[f9680,f9682]) ).

fof(f9682,plain,
    ( spl0_206
  <=> apply(apply(w,apply(w,apply(apply(w,b),w))),apply(w,w)) = apply(apply(w,w),apply(w,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f9680,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(w,w)) = apply(apply(w,w),apply(w,w)),
    inference(forward_demodulation,[],[f9679,f179]) ).

fof(f9679,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(w,w)) = apply(apply(w,apply(w,apply(apply(w,b),w))),apply(w,w)),
    inference(forward_demodulation,[],[f9534,f17]) ).

fof(f9534,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),apply(w,w)) = apply(apply(apply(w,w),apply(w,w)),apply(w,w)),
    inference(superposition,[],[f107,f179]) ).

fof(f9656,plain,
    spl0_205,
    inference(avatar_split_clause,[],[f9524,f9653]) ).

fof(f9653,plain,
    ( spl0_205
  <=> apply(apply(w,apply(w,apply(apply(w,b),apply(w,b)))),apply(w,b)) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f9524,plain,
    apply(apply(w,apply(w,apply(apply(w,b),apply(w,b)))),apply(w,b)) = apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),apply(w,b)),
    inference(superposition,[],[f107,f45]) ).

fof(f9631,plain,
    ( spl0_204
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f9486,f63,f9628]) ).

fof(f9628,plain,
    ( spl0_204
  <=> apply(apply(w,apply(w,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f9486,plain,
    ( apply(apply(w,apply(w,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f107,f65]) ).

fof(f9394,plain,
    ( spl0_199
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9393,f6,f9360]) ).

fof(f9360,plain,
    ( spl0_199
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))) = apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f9393,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))) = apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9392,f179]) ).

fof(f9392,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9294,f17]) ).

fof(f9294,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f51]) ).

fof(f9391,plain,
    ( spl0_203
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9311,f6,f9388]) ).

fof(f9388,plain,
    ( spl0_203
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f9311,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f1853]) ).

fof(f9385,plain,
    ( spl0_202
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9300,f6,f9382]) ).

fof(f9382,plain,
    ( spl0_202
  <=> apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f9300,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(w,apply(b,w)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f621]) ).

fof(f9380,plain,
    ( spl0_201
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9301,f6,f9377]) ).

fof(f9377,plain,
    ( spl0_201
  <=> apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(apply(w,b),w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f9301,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(w,apply(apply(w,b),w))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f542]) ).

fof(f9375,plain,
    ( spl0_200
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9312,f6,f9372]) ).

fof(f9372,plain,
    ( spl0_200
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f9312,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f1253]) ).

fof(f9363,plain,
    ( spl0_199
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9358,f6,f9360]) ).

fof(f9358,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))) = apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(w,w),apply(w,b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9296,f179]) ).

fof(f9296,plain,
    ( apply(strong_fixed_point,apply(b,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5639,f92]) ).

fof(f9285,plain,
    ( spl0_171
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9174,f6,f8900]) ).

fof(f9174,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f17]) ).

fof(f9284,plain,
    ( spl0_198
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9196,f6,f9279]) ).

fof(f9279,plain,
    ( spl0_198
  <=> apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f9196,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f20,f5346]) ).

fof(f9282,plain,
    ( spl0_198
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9193,f6,f9279]) ).

fof(f9193,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f20]) ).

fof(f9276,plain,
    ( spl0_197
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9198,f6,f9273]) ).

fof(f9273,plain,
    ( spl0_197
  <=> apply(apply(w,apply(w,apply(b,strong_fixed_point))),apply(apply(w,w),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f9198,plain,
    ( apply(apply(w,apply(w,apply(b,strong_fixed_point))),apply(apply(w,w),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f90,f5346]) ).

fof(f9267,plain,
    ( spl0_196
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9199,f6,f9264]) ).

fof(f9264,plain,
    ( spl0_196
  <=> apply(apply(w,apply(w,apply(w,apply(b,strong_fixed_point)))),apply(apply(w,w),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f9199,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,strong_fixed_point)))),apply(apply(w,w),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)),apply(apply(w,w),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f105,f5346]) ).

fof(f9261,plain,
    ( spl0_195
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9185,f6,f9258]) ).

fof(f9258,plain,
    ( spl0_195
  <=> apply(strong_fixed_point,apply(apply(w,w),apply(b,apply(apply(w,w),b)))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,apply(apply(w,w),b)),apply(b,apply(apply(w,w),b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f9185,plain,
    ( apply(strong_fixed_point,apply(apply(w,w),apply(b,apply(apply(w,w),b)))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,apply(apply(w,w),b)),apply(b,apply(apply(w,w),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f25]) ).

fof(f9252,plain,
    ( spl0_194
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f9247,f142,f6,f9249]) ).

fof(f9249,plain,
    ( spl0_194
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b))))) = apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f9247,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,b))))) = apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,w),b)),b))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f9176,f144]) ).

fof(f9176,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,w)),b)))) = apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,w),b)),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f47]) ).

fof(f9246,plain,
    ( spl0_193
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9197,f6,f9243]) ).

fof(f9243,plain,
    ( spl0_193
  <=> apply(apply(w,strong_fixed_point),apply(apply(apply(w,w),b),apply(apply(w,w),b))) = apply(apply(w,apply(b,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f9197,plain,
    ( apply(apply(w,strong_fixed_point),apply(apply(apply(w,w),b),apply(apply(w,w),b))) = apply(apply(w,apply(b,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))))),apply(apply(w,w),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f84,f5346]) ).

fof(f9240,plain,
    ( spl0_192
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9200,f6,f9237]) ).

fof(f9237,plain,
    ( spl0_192
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f9200,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,w),b))) = apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,w),b)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f2528,f5346]) ).

fof(f9235,plain,
    ( spl0_191
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9230,f6,f9232]) ).

fof(f9232,plain,
    ( spl0_191
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f9230,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9229,f1853]) ).

fof(f9229,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,w),b))))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9228,f5346]) ).

fof(f9228,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,w),b))))))) = apply(strong_fixed_point,apply(apply(apply(w,w),b),apply(apply(w,apply(w,b)),apply(apply(w,w),b))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9190,f1853]) ).

fof(f9190,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,w),b),apply(apply(w,apply(w,b)),apply(apply(w,w),b)))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,w),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f4219]) ).

fof(f9227,plain,
    ( spl0_190
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9222,f6,f9224]) ).

fof(f9224,plain,
    ( spl0_190
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f9222,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9177,f1853]) ).

fof(f9177,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,w),b))))) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(apply(w,w),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f5346,f43]) ).

fof(f9171,plain,
    ( spl0_189
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9082,f6,f9167]) ).

fof(f9167,plain,
    ( spl0_189
  <=> apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f9082,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f20]) ).

fof(f9170,plain,
    ( spl0_189
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9085,f6,f9167]) ).

fof(f9085,plain,
    ( apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f20,f4482]) ).

fof(f9159,plain,
    ( spl0_188
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9089,f6,f9156]) ).

fof(f9156,plain,
    ( spl0_188
  <=> apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f9089,plain,
    ( apply(strong_fixed_point,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(b,strong_fixed_point)),apply(apply(w,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f2528,f4482]) ).

fof(f9154,plain,
    ( spl0_171
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9062,f6,f8900]) ).

fof(f9062,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f2]) ).

fof(f9152,plain,
    ( spl0_187
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9087,f6,f9149]) ).

fof(f9149,plain,
    ( spl0_187
  <=> apply(apply(w,apply(w,apply(b,strong_fixed_point))),apply(apply(w,b),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f9087,plain,
    ( apply(apply(w,apply(w,apply(b,strong_fixed_point))),apply(apply(w,b),b)) = apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f90,f4482]) ).

fof(f9147,plain,
    ( spl0_186
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9142,f6,f9144]) ).

fof(f9144,plain,
    ( spl0_186
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(apply(w,b),b),apply(apply(w,b),b)))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,b),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f9142,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(apply(w,b),b),apply(apply(w,b),b)))))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,b),b)))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9079,f4482]) ).

fof(f9079,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),b),apply(apply(w,apply(w,b)),apply(apply(w,b),b)))) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(apply(w,b),b),apply(apply(w,b),b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f4219]) ).

fof(f9141,plain,
    ( spl0_185
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9088,f6,f9138]) ).

fof(f9138,plain,
    ( spl0_185
  <=> apply(apply(w,apply(w,apply(w,apply(b,strong_fixed_point)))),apply(apply(w,b),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)),apply(apply(w,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f9088,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,strong_fixed_point)))),apply(apply(w,b),b)) = apply(apply(apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))),apply(apply(w,b),b)),apply(apply(w,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f105,f4482]) ).

fof(f9136,plain,
    ( spl0_184
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9074,f6,f9133]) ).

fof(f9133,plain,
    ( spl0_184
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,apply(apply(w,b),b)),apply(b,apply(apply(w,b),b)))))) = apply(strong_fixed_point,apply(apply(w,w),apply(b,apply(apply(w,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f9074,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(b,apply(apply(w,b),b)),apply(b,apply(apply(w,b),b)))))) = apply(strong_fixed_point,apply(apply(w,w),apply(b,apply(apply(w,b),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f25]) ).

fof(f9131,plain,
    ( spl0_183
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9065,f6,f9128]) ).

fof(f9128,plain,
    ( spl0_183
  <=> apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f9065,plain,
    ( apply(strong_fixed_point,apply(apply(apply(w,b),apply(apply(w,b),b)),b)) = apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,apply(w,b)),b))))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f47]) ).

fof(f9126,plain,
    ( spl0_182
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9066,f6,f9123]) ).

fof(f9123,plain,
    ( spl0_182
  <=> apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f9066,plain,
    ( apply(strong_fixed_point,apply(b,apply(b,apply(apply(apply(w,b),b),apply(apply(w,b),b))))) = apply(strong_fixed_point,apply(apply(w,apply(w,b)),apply(apply(w,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f43]) ).

fof(f9120,plain,
    ( spl0_181
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9060,f6,f9117]) ).

fof(f9117,plain,
    ( spl0_181
  <=> apply(strong_fixed_point,apply(apply(w,apply(b,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f9060,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(b,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f4482,f17]) ).

fof(f9115,plain,
    ( spl0_180
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9086,f6,f9112]) ).

fof(f9112,plain,
    ( spl0_180
  <=> apply(apply(w,apply(b,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))))),apply(apply(w,b),b)) = apply(apply(w,strong_fixed_point),apply(apply(apply(w,b),b),apply(apply(w,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f9086,plain,
    ( apply(apply(w,apply(b,apply(strong_fixed_point,apply(b,apply(b,apply(apply(w,b),b)))))),apply(apply(w,b),b)) = apply(apply(w,strong_fixed_point),apply(apply(apply(w,b),b),apply(apply(w,b),b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f84,f4482]) ).

fof(f9056,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f9055,f8917]) ).

fof(f8917,plain,
    ( spl0_172
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f9055,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f9054,f542]) ).

fof(f9054,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f9053,f542]) ).

fof(f9053,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f8696,f542]) ).

fof(f8696,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f4219,f542]) ).

fof(f9049,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f9048,f8939]) ).

fof(f8939,plain,
    ( spl0_173
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f9048,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9047,f621]) ).

fof(f9047,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9046,f621]) ).

fof(f9046,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8824,f621]) ).

fof(f8824,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f621,f4219]) ).

fof(f9044,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f9043,f8939]) ).

fof(f9043,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9042,f621]) ).

fof(f9042,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9041,f621]) ).

fof(f9041,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8716,f621]) ).

fof(f8716,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f4219,f621]) ).

fof(f9021,plain,
    spl0_179,
    inference(avatar_split_clause,[],[f8666,f9018]) ).

fof(f9018,plain,
    ( spl0_179
  <=> apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f8666,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f4219,f20]) ).

fof(f9016,plain,
    spl0_178,
    inference(avatar_split_clause,[],[f8778,f9013]) ).

fof(f9013,plain,
    ( spl0_178
  <=> apply(apply(w,w),apply(w,apply(w,apply(w,w)))) = apply(apply(w,apply(apply(apply(w,apply(w,b)),w),apply(w,apply(w,apply(w,w))))),apply(w,apply(w,apply(w,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f8778,plain,
    apply(apply(w,w),apply(w,apply(w,apply(w,w)))) = apply(apply(w,apply(apply(apply(w,apply(w,b)),w),apply(w,apply(w,apply(w,w))))),apply(w,apply(w,apply(w,w)))),
    inference(superposition,[],[f179,f4219]) ).

fof(f9011,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f9010,f8917]) ).

fof(f9010,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f9009,f542]) ).

fof(f9009,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f9008,f542]) ).

fof(f9008,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f8674,f542]) ).

fof(f8674,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f4219,f542]) ).

fof(f9007,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f8774,f4674]) ).

fof(f4674,plain,
    ( spl0_143
  <=> apply(apply(w,apply(w,apply(w,apply(w,b)))),w) = apply(apply(w,apply(w,apply(w,w))),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f8774,plain,
    apply(apply(w,apply(w,apply(w,apply(w,b)))),w) = apply(apply(w,apply(w,apply(w,w))),w),
    inference(superposition,[],[f122,f4219]) ).

fof(f9006,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f9005,f8939]) ).

fof(f9005,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9004,f621]) ).

fof(f9004,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f9003,f621]) ).

fof(f9003,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8695,f621]) ).

fof(f8695,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f4219,f621]) ).

fof(f8992,plain,
    ( spl0_177
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f8691,f63,f8989]) ).

fof(f8989,plain,
    ( spl0_177
  <=> apply(apply(w,b),apply(apply(w,w),apply(w,b))) = apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f8691,plain,
    ( apply(apply(w,b),apply(apply(w,w),apply(w,b))) = apply(apply(w,b),apply(apply(w,apply(w,b)),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f4219,f65]) ).

fof(f8983,plain,
    spl0_170,
    inference(avatar_split_clause,[],[f8982,f8887]) ).

fof(f8887,plain,
    ( spl0_170
  <=> apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f8982,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))),
    inference(forward_demodulation,[],[f8981,f179]) ).

fof(f8981,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),
    inference(forward_demodulation,[],[f8980,f51]) ).

fof(f8980,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),
    inference(forward_demodulation,[],[f8669,f51]) ).

fof(f8669,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f4219,f92]) ).

fof(f8979,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f8978,f8917]) ).

fof(f8978,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f8977,f542]) ).

fof(f8977,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f8976,f542]) ).

fof(f8976,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f8823,f542]) ).

fof(f8823,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f542,f4219]) ).

fof(f8971,plain,
    spl0_176,
    inference(avatar_split_clause,[],[f8966,f8968]) ).

fof(f8968,plain,
    ( spl0_176
  <=> apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))))) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f8966,plain,
    apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))))) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))))),
    inference(forward_demodulation,[],[f8965,f1853]) ).

fof(f8965,plain,
    apply(b,apply(apply(apply(w,w),b),apply(apply(w,apply(w,b)),apply(apply(w,w),b)))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))))),
    inference(forward_demodulation,[],[f8964,f1853]) ).

fof(f8964,plain,
    apply(b,apply(apply(apply(w,w),b),apply(apply(w,apply(w,b)),apply(apply(w,w),b)))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,w),b))))))),
    inference(forward_demodulation,[],[f8818,f1853]) ).

fof(f8818,plain,
    apply(b,apply(apply(apply(w,w),b),apply(apply(w,apply(w,b)),apply(apply(w,w),b)))) = apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(apply(w,w),b),apply(apply(w,w),b)))))),
    inference(superposition,[],[f1853,f4219]) ).

fof(f8959,plain,
    spl0_175,
    inference(avatar_split_clause,[],[f8772,f8956]) ).

fof(f8956,plain,
    ( spl0_175
  <=> apply(apply(w,apply(w,apply(apply(w,b),w))),w) = apply(apply(w,apply(w,apply(w,w))),w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f8772,plain,
    apply(apply(w,apply(w,apply(apply(w,b),w))),w) = apply(apply(w,apply(w,apply(w,w))),w),
    inference(superposition,[],[f3540,f4219]) ).

fof(f8954,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f8773,f8951]) ).

fof(f8773,plain,
    apply(apply(w,apply(w,apply(w,apply(w,apply(w,b))))),w) = apply(apply(w,apply(w,apply(w,apply(w,w)))),w),
    inference(superposition,[],[f131,f4219]) ).

fof(f8942,plain,
    spl0_173,
    inference(avatar_split_clause,[],[f8937,f8939]) ).

fof(f8937,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8936,f621]) ).

fof(f8936,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8935,f621]) ).

fof(f8935,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f8673,f621]) ).

fof(f8673,plain,
    apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))),
    inference(superposition,[],[f4219,f621]) ).

fof(f8920,plain,
    spl0_172,
    inference(avatar_split_clause,[],[f8915,f8917]) ).

fof(f8915,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f8914,f542]) ).

fof(f8914,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))),
    inference(forward_demodulation,[],[f8913,f542]) ).

fof(f8913,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f8717,f542]) ).

fof(f8717,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w))))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f4219,f542]) ).

fof(f8903,plain,
    ( spl0_171
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f8898,f6,f8900]) ).

fof(f8898,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(strong_fixed_point,apply(b,apply(b,b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f8761,f35]) ).

fof(f8761,plain,
    ( apply(strong_fixed_point,apply(apply(w,apply(w,b)),b)) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,apply(b,apply(b,b))))))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f4219]) ).

fof(f8890,plain,
    spl0_170,
    inference(avatar_split_clause,[],[f8885,f8887]) ).

fof(f8885,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))))),
    inference(forward_demodulation,[],[f8884,f179]) ).

fof(f8884,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),
    inference(forward_demodulation,[],[f8883,f17]) ).

fof(f8883,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),
    inference(forward_demodulation,[],[f8882,f51]) ).

fof(f8882,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),
    inference(forward_demodulation,[],[f8667,f51]) ).

fof(f8667,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),
    inference(superposition,[],[f4219,f51]) ).

fof(f8859,plain,
    spl0_169,
    inference(avatar_split_clause,[],[f8760,f8856]) ).

fof(f8856,plain,
    ( spl0_169
  <=> apply(apply(apply(w,apply(w,b)),b),apply(apply(b,apply(b,apply(b,b))),apply(b,apply(b,apply(b,b))))) = apply(apply(w,w),apply(b,apply(b,apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f8760,plain,
    apply(apply(apply(w,apply(w,b)),b),apply(apply(b,apply(b,apply(b,b))),apply(b,apply(b,apply(b,b))))) = apply(apply(w,w),apply(b,apply(b,apply(b,b)))),
    inference(superposition,[],[f25,f4219]) ).

fof(f8661,plain,
    ( spl0_168
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f8656,f63,f8658]) ).

fof(f8658,plain,
    ( spl0_168
  <=> apply(apply(w,apply(w,apply(w,apply(b,apply(w,b))))),apply(w,b)) = apply(apply(w,apply(w,apply(w,w))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f8656,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(w,b))))),apply(w,b)) = apply(apply(w,apply(w,apply(w,w))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f8387,f16]) ).

fof(f8387,plain,
    ( apply(apply(apply(apply(w,w),apply(w,b)),apply(w,b)),apply(w,b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(w,b))))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f105,f65]) ).

fof(f8609,plain,
    spl0_167,
    inference(avatar_split_clause,[],[f8604,f8606]) ).

fof(f8606,plain,
    ( spl0_167
  <=> apply(apply(b,apply(b,apply(apply(w,w),b))),apply(apply(apply(w,w),b),apply(apply(w,w),b))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f8604,plain,
    apply(apply(b,apply(b,apply(apply(w,w),b))),apply(apply(apply(w,w),b),apply(apply(w,w),b))) = apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,w),b)),
    inference(forward_demodulation,[],[f8439,f1]) ).

fof(f8439,plain,
    apply(apply(w,apply(w,apply(w,apply(b,b)))),apply(apply(w,w),b)) = apply(apply(apply(b,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)),apply(apply(w,w),b)),
    inference(superposition,[],[f105,f1853]) ).

fof(f8592,plain,
    spl0_166,
    inference(avatar_split_clause,[],[f8591,f8587]) ).

fof(f8587,plain,
    ( spl0_166
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f8591,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f8473,f1]) ).

fof(f8473,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,b)),
    inference(superposition,[],[f105,f245]) ).

fof(f245,plain,
    ! [X2,X0,X1] : apply(apply(apply(w,apply(apply(b,b),X0)),X1),X2) = apply(apply(X0,X1),apply(X1,X2)),
    inference(superposition,[],[f1,f22]) ).

fof(f8590,plain,
    spl0_166,
    inference(avatar_split_clause,[],[f8585,f8587]) ).

fof(f8585,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f8512,f1]) ).

fof(f8512,plain,
    apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,b)),
    inference(superposition,[],[f245,f105]) ).

fof(f8326,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f8325,f2612]) ).

fof(f2612,plain,
    ( spl0_89
  <=> apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f8325,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f8205,f93]) ).

fof(f8205,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f92,f97]) ).

fof(f8308,plain,
    spl0_165,
    inference(avatar_split_clause,[],[f8018,f8305]) ).

fof(f8305,plain,
    ( spl0_165
  <=> apply(apply(w,w),apply(w,apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,apply(b,apply(w,b)))),apply(apply(w,w),apply(w,apply(b,apply(w,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f8018,plain,
    apply(apply(w,w),apply(w,apply(b,apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,apply(b,apply(w,b)))),apply(apply(w,w),apply(w,apply(b,apply(w,b))))),
    inference(superposition,[],[f97,f15]) ).

fof(f8284,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f8283,f2612]) ).

fof(f8283,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f8106,f93]) ).

fof(f8106,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,apply(b,apply(w,b))),apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f97,f92]) ).

fof(f8270,plain,
    spl0_164,
    inference(avatar_split_clause,[],[f8265,f8267]) ).

fof(f8267,plain,
    ( spl0_164
  <=> apply(apply(apply(w,w),apply(w,b)),b) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f8265,plain,
    apply(apply(apply(w,w),apply(w,b)),b) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),b))),
    inference(forward_demodulation,[],[f8264,f179]) ).

fof(f8264,plain,
    apply(apply(apply(w,apply(b,apply(w,b))),apply(w,b)),b) = apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),b))),
    inference(forward_demodulation,[],[f8070,f51]) ).

fof(f8070,plain,
    apply(apply(apply(w,apply(b,apply(w,b))),apply(w,b)),b) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(w,w),b))),
    inference(superposition,[],[f97,f47]) ).

fof(f7461,plain,
    ( spl0_163
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f7460,f63,f7451]) ).

fof(f7451,plain,
    ( spl0_163
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f7460,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f7255,f65]) ).

fof(f7255,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))) = apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b)),
    inference(superposition,[],[f1253,f78]) ).

fof(f7454,plain,
    ( spl0_163
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f7449,f63,f7451]) ).

fof(f7449,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f7229,f65]) ).

fof(f7229,plain,
    apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))) = apply(apply(w,apply(b,apply(w,apply(b,apply(w,b))))),apply(w,b)),
    inference(superposition,[],[f78,f1253]) ).

fof(f7100,plain,
    ( spl0_162
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f6769,f63,f7097]) ).

fof(f7097,plain,
    ( spl0_162
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f6769,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f61,f65]) ).

fof(f7087,plain,
    ( spl0_161
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f6765,f6,f7084]) ).

fof(f7084,plain,
    ( spl0_161
  <=> apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),strong_fixed_point)) = apply(apply(apply(w,b),apply(apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f6765,plain,
    ( apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),strong_fixed_point)) = apply(apply(apply(w,b),apply(apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,b))),b)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f8]) ).

fof(f6663,plain,
    ( spl0_160
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f6539,f63,f6660]) ).

fof(f6660,plain,
    ( spl0_160
  <=> apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(b,apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f6539,plain,
    ( apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(b,apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f3540,f65]) ).

fof(f6653,plain,
    ( spl0_159
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f6533,f142,f6650]) ).

fof(f6650,plain,
    ( spl0_159
  <=> apply(apply(w,apply(w,apply(apply(w,w),b))),b) = apply(apply(w,apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f6533,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),b))),b) = apply(apply(w,apply(b,apply(b,b))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f3540,f144]) ).

fof(f6484,plain,
    ( spl0_157
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f6483,f63,f6447]) ).

fof(f6447,plain,
    ( spl0_157
  <=> apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f6483,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f6335,f65]) ).

fof(f6335,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)),
    inference(superposition,[],[f76,f4752]) ).

fof(f6479,plain,
    ( spl0_158
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f6474,f6,f6476]) ).

fof(f6476,plain,
    ( spl0_158
  <=> apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f6474,plain,
    ( apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f6473,f1]) ).

fof(f6473,plain,
    ( apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f6275,f1]) ).

fof(f6275,plain,
    ( apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f4752,f8]) ).

fof(f6450,plain,
    ( spl0_157
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f6445,f63,f6447]) ).

fof(f6445,plain,
    ( apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f6214,f65]) ).

fof(f6214,plain,
    apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)),
    inference(superposition,[],[f4752,f76]) ).

fof(f6444,plain,
    ( spl0_156
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f6267,f294,f6441]) ).

fof(f6441,plain,
    ( spl0_156
  <=> apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f6267,plain,
    ( apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f4752,f296]) ).

fof(f6432,plain,
    ( spl0_155
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6265,f305,f6429]) ).

fof(f6429,plain,
    ( spl0_155
  <=> apply(apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f305,plain,
    ( spl0_12
  <=> apply(apply(w,apply(apply(w,w),b)),b) = apply(apply(b,apply(b,b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f6265,plain,
    ( apply(apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f4752,f307]) ).

fof(f307,plain,
    ( apply(apply(w,apply(apply(w,w),b)),b) = apply(apply(b,apply(b,b)),b)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f6414,plain,
    ( spl0_154
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f6266,f142,f6411]) ).

fof(f6411,plain,
    ( spl0_154
  <=> apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,w))),b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f6266,plain,
    ( apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b) = apply(apply(apply(apply(w,b),apply(w,apply(w,w))),b),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f4752,f144]) ).

fof(f5736,plain,
    spl0_153,
    inference(avatar_split_clause,[],[f5427,f5733]) ).

fof(f5733,plain,
    ( spl0_153
  <=> apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(b,apply(apply(w,apply(b,b)),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f5427,plain,
    apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b))))) = apply(b,apply(apply(w,apply(b,b)),apply(apply(w,w),b))),
    inference(superposition,[],[f2528,f1853]) ).

fof(f5358,plain,
    spl0_152,
    inference(avatar_split_clause,[],[f5292,f5355]) ).

fof(f5355,plain,
    ( spl0_152
  <=> apply(apply(w,apply(w,apply(b,b))),apply(apply(w,w),b)) = apply(apply(b,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f5292,plain,
    apply(apply(w,apply(w,apply(b,b))),apply(apply(w,w),b)) = apply(apply(b,apply(b,apply(b,apply(apply(w,w),b)))),apply(apply(w,w),b)),
    inference(superposition,[],[f90,f1853]) ).

fof(f5352,plain,
    ( spl0_151
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f5347,f142,f5349]) ).

fof(f5349,plain,
    ( spl0_151
  <=> apply(b,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(b,apply(b,apply(b,apply(b,apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f5347,plain,
    ( apply(b,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(b,apply(b,apply(b,apply(b,apply(b,b)))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f5265,f144]) ).

fof(f5265,plain,
    apply(b,apply(apply(apply(w,b),apply(apply(w,w),b)),b)) = apply(b,apply(b,apply(b,apply(apply(w,apply(w,w)),b)))),
    inference(superposition,[],[f1853,f47]) ).

fof(f5336,plain,
    spl0_150,
    inference(avatar_split_clause,[],[f5291,f5333]) ).

fof(f5333,plain,
    ( spl0_150
  <=> apply(apply(w,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))),apply(apply(w,w),b)) = apply(apply(w,b),apply(apply(apply(w,w),b),apply(apply(w,w),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f5291,plain,
    apply(apply(w,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))),apply(apply(w,w),b)) = apply(apply(w,b),apply(apply(apply(w,w),b),apply(apply(w,w),b))),
    inference(superposition,[],[f84,f1853]) ).

fof(f5331,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f5276,f5327]) ).

fof(f5327,plain,
    ( spl0_149
  <=> apply(apply(w,apply(b,b)),apply(apply(w,w),b)) = apply(b,apply(b,apply(b,apply(apply(w,w),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f5276,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,w),b)) = apply(b,apply(b,apply(b,apply(apply(w,w),b)))),
    inference(superposition,[],[f1853,f20]) ).

fof(f5330,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f5293,f5327]) ).

fof(f5293,plain,
    apply(apply(w,apply(b,b)),apply(apply(w,w),b)) = apply(b,apply(b,apply(b,apply(apply(w,w),b)))),
    inference(superposition,[],[f20,f1853]) ).

fof(f5325,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f5263,f5322]) ).

fof(f5322,plain,
    ( spl0_148
  <=> apply(b,apply(b,apply(b,b))) = apply(b,apply(apply(w,apply(w,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f5263,plain,
    apply(b,apply(b,apply(b,b))) = apply(b,apply(apply(w,apply(w,b)),b)),
    inference(superposition,[],[f1853,f17]) ).

fof(f5320,plain,
    spl0_147,
    inference(avatar_split_clause,[],[f5272,f5317]) ).

fof(f5317,plain,
    ( spl0_147
  <=> apply(b,apply(b,apply(b,apply(apply(b,apply(apply(w,w),b)),apply(b,apply(apply(w,w),b)))))) = apply(b,apply(apply(w,w),apply(b,apply(apply(w,w),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f5272,plain,
    apply(b,apply(b,apply(b,apply(apply(b,apply(apply(w,w),b)),apply(b,apply(apply(w,w),b)))))) = apply(b,apply(apply(w,w),apply(b,apply(apply(w,w),b)))),
    inference(superposition,[],[f1853,f25]) ).

fof(f5315,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f5310,f5312]) ).

fof(f5312,plain,
    ( spl0_146
  <=> apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f5310,plain,
    apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))) = apply(b,apply(b,apply(b,apply(b,apply(b,apply(apply(w,w),b)))))),
    inference(forward_demodulation,[],[f5266,f1853]) ).

fof(f5266,plain,
    apply(b,apply(b,apply(b,apply(apply(apply(w,w),b),apply(apply(w,w),b))))) = apply(b,apply(apply(w,apply(w,b)),apply(apply(w,w),b))),
    inference(superposition,[],[f1853,f43]) ).

fof(f4836,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f4736,f4830]) ).

fof(f4830,plain,
    ( spl0_145
  <=> apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f4736,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)),
    inference(superposition,[],[f232,f76]) ).

fof(f4833,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f4764,f4830]) ).

fof(f4764,plain,
    apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,apply(b,b)),apply(apply(w,b),apply(w,b)))),apply(w,b)),
    inference(superposition,[],[f76,f232]) ).

fof(f4685,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f4684,f4680]) ).

fof(f4684,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f4572,f1]) ).

fof(f4572,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f194,f76]) ).

fof(f4683,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f4678,f4680]) ).

fof(f4678,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(b,apply(apply(b,b),apply(apply(b,b),apply(b,b)))),
    inference(forward_demodulation,[],[f4581,f1]) ).

fof(f4581,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(b,b)) = apply(apply(apply(b,b),apply(b,b)),apply(apply(b,b),apply(b,b))),
    inference(superposition,[],[f76,f194]) ).

fof(f4677,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f4568,f4674]) ).

fof(f4568,plain,
    apply(apply(w,apply(w,apply(w,apply(w,b)))),w) = apply(apply(w,apply(w,apply(w,w))),w),
    inference(superposition,[],[f194,f1253]) ).

fof(f4671,plain,
    spl0_142,
    inference(avatar_split_clause,[],[f4551,f4668]) ).

fof(f4668,plain,
    ( spl0_142
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,apply(w,w)),apply(apply(w,b),w))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f4551,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,apply(w,w)),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(superposition,[],[f194,f542]) ).

fof(f4651,plain,
    ( spl0_29
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f4524,f142,f773]) ).

fof(f773,plain,
    ( spl0_29
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f4524,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f194,f144]) ).

fof(f4649,plain,
    ( spl0_141
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f4536,f63,f4646]) ).

fof(f4646,plain,
    ( spl0_141
  <=> apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f4536,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f194,f65]) ).

fof(f4638,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f4550,f4635]) ).

fof(f4635,plain,
    ( spl0_140
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(w,w))),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f4550,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,apply(w,w))),apply(w,apply(b,w))),
    inference(superposition,[],[f194,f621]) ).

fof(f4633,plain,
    ( spl0_139
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4628,f294,f4630]) ).

fof(f4630,plain,
    ( spl0_139
  <=> apply(apply(w,apply(w,apply(w,apply(b,apply(b,b))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f4628,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(b,b))))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4525,f194]) ).

fof(f4525,plain,
    ( apply(apply(w,apply(apply(apply(b,apply(b,b)),b),b)),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f194,f296]) ).

fof(f4623,plain,
    ( spl0_138
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f4618,f305,f4620]) ).

fof(f4620,plain,
    ( spl0_138
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),b))))),b) = apply(apply(w,apply(w,apply(w,apply(b,apply(b,b))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f4618,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),b))))),b) = apply(apply(w,apply(w,apply(w,apply(b,apply(b,b))))),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f4523,f194]) ).

fof(f4523,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),b))))),b) = apply(apply(w,apply(apply(apply(b,apply(b,b)),b),b)),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f194,f307]) ).

fof(f4617,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f4532,f6,f371]) ).

fof(f371,plain,
    ( spl0_15
  <=> apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) = apply(apply(w,apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f4532,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) = apply(apply(w,apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f194,f8]) ).

fof(f4459,plain,
    ( spl0_137
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f4155,f305,f4456]) ).

fof(f4456,plain,
    ( spl0_137
  <=> apply(apply(w,apply(apply(w,w),b)),apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b))) = apply(apply(w,apply(apply(w,w),b)),apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f4155,plain,
    ( apply(apply(w,apply(apply(w,w),b)),apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b))) = apply(apply(w,apply(apply(w,w),b)),apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b))
    | ~ spl0_12 ),
    inference(superposition,[],[f1253,f307]) ).

fof(f4438,plain,
    spl0_136,
    inference(avatar_split_clause,[],[f4329,f4435]) ).

fof(f4435,plain,
    ( spl0_136
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))) = apply(apply(w,w),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f4329,plain,
    apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))) = apply(apply(w,w),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f179,f1253]) ).

fof(f4410,plain,
    spl0_135,
    inference(avatar_split_clause,[],[f4327,f4407]) ).

fof(f4407,plain,
    ( spl0_135
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f4327,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,b),w))))),apply(apply(w,b),w)),
    inference(superposition,[],[f132,f1253]) ).

fof(f4405,plain,
    ( spl0_134
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f4156,f142,f4402]) ).

fof(f4402,plain,
    ( spl0_134
  <=> apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,apply(b,b)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,b),apply(w,apply(w,w))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f4156,plain,
    ( apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(b,apply(b,b)))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,b),apply(w,apply(w,w))),b))
    | ~ spl0_7 ),
    inference(superposition,[],[f1253,f144]) ).

fof(f4392,plain,
    ( spl0_133
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4157,f294,f4389]) ).

fof(f4389,plain,
    ( spl0_133
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b)) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f4157,plain,
    ( apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b)) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)))
    | ~ spl0_10 ),
    inference(superposition,[],[f1253,f296]) ).

fof(f4376,plain,
    ( spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f4164,f6,f4373]) ).

fof(f4373,plain,
    ( spl0_132
  <=> apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f4164,plain,
    ( apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point))
    | ~ spl0_1 ),
    inference(superposition,[],[f1253,f8]) ).

fof(f4355,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f4328,f4352]) ).

fof(f4352,plain,
    ( spl0_131
  <=> apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4328,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,apply(w,apply(w,apply(apply(w,b),w)))),apply(apply(w,b),w)),
    inference(superposition,[],[f181,f1253]) ).

fof(f4350,plain,
    ( spl0_130
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f4345,f63,f4347]) ).

fof(f4347,plain,
    ( spl0_130
  <=> apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f4345,plain,
    ( apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4344,f179]) ).

fof(f4344,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4343,f17]) ).

fof(f4343,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4342,f51]) ).

fof(f4342,plain,
    ( apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4314,f65]) ).

fof(f4314,plain,
    apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f45,f1253]) ).

fof(f4115,plain,
    spl0_129,
    inference(avatar_split_clause,[],[f4053,f4112]) ).

fof(f4112,plain,
    ( spl0_129
  <=> apply(apply(w,apply(b,apply(apply(w,b),apply(w,apply(w,apply(w,w)))))),w) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(w,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f4053,plain,
    apply(apply(w,apply(b,apply(apply(w,b),apply(w,apply(w,apply(w,w)))))),w) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,w),apply(w,w))),
    inference(superposition,[],[f85,f179]) ).

fof(f4110,plain,
    spl0_128,
    inference(avatar_split_clause,[],[f4026,f4107]) ).

fof(f4107,plain,
    ( spl0_128
  <=> apply(apply(w,w),apply(w,apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4026,plain,
    apply(apply(w,w),apply(w,apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f179,f621]) ).

fof(f4104,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f4046,f1477]) ).

fof(f4046,plain,
    apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f93,f179]) ).

fof(f4103,plain,
    spl0_127,
    inference(avatar_split_clause,[],[f4098,f4100]) ).

fof(f4100,plain,
    ( spl0_127
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,w)) = apply(apply(w,apply(w,w)),apply(w,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f4098,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,w)) = apply(apply(w,apply(w,w)),apply(w,w)),
    inference(forward_demodulation,[],[f4054,f84]) ).

fof(f4054,plain,
    apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(w,w)) = apply(apply(w,apply(b,apply(apply(w,w),apply(w,w)))),w),
    inference(superposition,[],[f84,f179]) ).

fof(f4094,plain,
    spl0_126,
    inference(avatar_split_clause,[],[f4089,f4091]) ).

fof(f4091,plain,
    ( spl0_126
  <=> apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f4089,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(w,apply(apply(b,w),apply(apply(w,w),apply(b,w))))),apply(apply(w,w),apply(b,w))),
    inference(forward_demodulation,[],[f4038,f1]) ).

fof(f4038,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,w))) = apply(apply(w,apply(apply(apply(b,w),apply(b,w)),apply(apply(w,w),apply(b,w)))),apply(apply(w,w),apply(b,w))),
    inference(superposition,[],[f179,f25]) ).

fof(f4088,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f4042,f4072]) ).

fof(f4072,plain,
    ( spl0_123
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f4042,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))),
    inference(superposition,[],[f179,f344]) ).

fof(f4087,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f4027,f4084]) ).

fof(f4084,plain,
    ( spl0_125
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(apply(w,b),w))))),apply(w,apply(w,apply(apply(w,b),w)))) = apply(apply(w,w),apply(w,apply(w,apply(apply(w,b),w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f4027,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(apply(w,b),w))))),apply(w,apply(w,apply(apply(w,b),w)))) = apply(apply(w,w),apply(w,apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f179,f542]) ).

fof(f4082,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f4024,f4079]) ).

fof(f4079,plain,
    ( spl0_124
  <=> apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,w),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f4024,plain,
    apply(apply(w,apply(w,apply(apply(apply(w,b),w),apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,w),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f179,f51]) ).

fof(f4075,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f4048,f4072]) ).

fof(f4048,plain,
    apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))),
    inference(superposition,[],[f344,f179]) ).

fof(f4022,plain,
    ( spl0_30
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4021,f294,f779]) ).

fof(f779,plain,
    ( spl0_30
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f4021,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3992,f16]) ).

fof(f3992,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(apply(b,apply(b,b)),b),b),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f16,f296]) ).

fof(f4020,plain,
    ( spl0_57
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f3996,f294,f1307]) ).

fof(f1307,plain,
    ( spl0_57
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3996,plain,
    ( apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f51,f296]) ).

fof(f4019,plain,
    ( spl0_122
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4002,f294,f4016]) ).

fof(f4002,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(w,w)))))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f131,f296]) ).

fof(f4014,plain,
    ( spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4013,f294,f300]) ).

fof(f4013,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3991,f1]) ).

fof(f3991,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f296]) ).

fof(f4011,plain,
    ( spl0_37
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4010,f294,f918]) ).

fof(f4010,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3994,f1]) ).

fof(f3994,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(b,apply(b,b)),b),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f46,f296]) ).

fof(f4008,plain,
    ( spl0_66
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f3998,f294,f1455]) ).

fof(f1455,plain,
    ( spl0_66
  <=> apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3998,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f58,f296]) ).

fof(f4007,plain,
    ( spl0_31
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f3993,f294,f784]) ).

fof(f784,plain,
    ( spl0_31
  <=> apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b) = apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3993,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b) = apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f19,f296]) ).

fof(f4006,plain,
    ( spl0_29
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4001,f294,f773]) ).

fof(f4001,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f122,f296]) ).

fof(f4005,plain,
    ( spl0_50
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f4004,f294,f1125]) ).

fof(f1125,plain,
    ( spl0_50
  <=> apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(w,apply(w,w)))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f4004,plain,
    ( apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(w,apply(w,w)))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3995,f1]) ).

fof(f3995,plain,
    ( apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(b,apply(b,b)),b),apply(apply(w,apply(w,apply(w,apply(w,w)))),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f47,f296]) ).

fof(f4003,plain,
    ( spl0_28
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f3997,f294,f768]) ).

fof(f768,plain,
    ( spl0_28
  <=> apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f3997,plain,
    ( apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f56,f296]) ).

fof(f3984,plain,
    ( spl0_121
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3941,f142,f3981]) ).

fof(f3981,plain,
    ( spl0_121
  <=> apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,w))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3941,plain,
    ( apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,w))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f47,f144]) ).

fof(f3979,plain,
    ( spl0_30
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3948,f142,f779]) ).

fof(f3948,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f131,f144]) ).

fof(f3978,plain,
    ( spl0_120
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3935,f142,f3975]) ).

fof(f3935,plain,
    ( apply(apply(apply(w,w),b),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(apply(w,w),b)),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f47,f144]) ).

fof(f3973,plain,
    ( spl0_11
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3972,f142,f300]) ).

fof(f3972,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3938,f1]) ).

fof(f3938,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f16,f144]) ).

fof(f3971,plain,
    ( spl0_119
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3942,f142,f3968]) ).

fof(f3968,plain,
    ( spl0_119
  <=> apply(apply(apply(w,b),apply(w,apply(w,w))),apply(b,apply(b,b))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,b),apply(w,apply(w,w))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3942,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,w))),apply(b,apply(b,b))) = apply(apply(w,apply(w,w)),apply(apply(apply(w,b),apply(w,apply(w,w))),b))
    | ~ spl0_7 ),
    inference(superposition,[],[f51,f144]) ).

fof(f3966,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3939,f142,f310]) ).

fof(f310,plain,
    ( spl0_13
  <=> apply(apply(w,apply(w,w)),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,w))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f3939,plain,
    ( apply(apply(w,apply(w,w)),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,w))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f19,f144]) ).

fof(f3965,plain,
    ( spl0_31
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3940,f142,f784]) ).

fof(f3940,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b) = apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f144]) ).

fof(f3964,plain,
    ( spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3937,f142,f294]) ).

fof(f3937,plain,
    ( apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,w))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f144]) ).

fof(f3963,plain,
    ( spl0_118
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3943,f142,f3960]) ).

fof(f3960,plain,
    ( spl0_118
  <=> apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3943,plain,
    ( apply(apply(apply(w,apply(w,w)),apply(b,apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f56,f144]) ).

fof(f3958,plain,
    ( spl0_117
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3944,f142,f3955]) ).

fof(f3955,plain,
    ( spl0_117
  <=> apply(apply(w,apply(w,apply(w,w))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,w))),b),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3944,plain,
    ( apply(apply(w,apply(w,apply(w,w))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,w))),b),apply(b,apply(b,b)))
    | ~ spl0_7 ),
    inference(superposition,[],[f58,f144]) ).

fof(f3953,plain,
    ( spl0_116
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3947,f142,f3950]) ).

fof(f3950,plain,
    ( spl0_116
  <=> apply(apply(w,apply(b,apply(b,b))),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3947,plain,
    ( apply(apply(w,apply(b,apply(b,b))),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f122,f144]) ).

fof(f3929,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f3928,f3921]) ).

fof(f3921,plain,
    ( spl0_115
  <=> apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3928,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f3830,f621]) ).

fof(f3830,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f117,f621]) ).

fof(f3927,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f3926,f3873]) ).

fof(f3873,plain,
    ( spl0_109
  <=> apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3926,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f3815,f621]) ).

fof(f3815,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f43,f621]) ).

fof(f3925,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f3843,f3867]) ).

fof(f3867,plain,
    ( spl0_108
  <=> apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(w,apply(b,w)))),apply(b,apply(w,apply(w,apply(b,w)))))) = apply(apply(w,w),apply(b,apply(w,apply(w,apply(b,w))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3843,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(w,apply(b,w)))),apply(b,apply(w,apply(w,apply(b,w)))))) = apply(apply(w,w),apply(b,apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f25,f621]) ).

fof(f3924,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f3919,f3921]) ).

fof(f3919,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f3827,f621]) ).

fof(f3827,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,apply(w,apply(b,w)))) = apply(apply(apply(w,apply(w,apply(b,w))),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f117,f621]) ).

fof(f3915,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f3914,f3873]) ).

fof(f3914,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f3831,f621]) ).

fof(f3831,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f43,f621]) ).

fof(f3913,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f3828,f3910]) ).

fof(f3910,plain,
    ( spl0_114
  <=> apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(w,w))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3828,plain,
    apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,apply(w,w))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f132,f621]) ).

fof(f3908,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f3816,f3905]) ).

fof(f3905,plain,
    ( spl0_113
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3816,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(apply(w,w),apply(w,apply(w,apply(b,w))))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f45,f621]) ).

fof(f3903,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f3898,f3900]) ).

fof(f3900,plain,
    ( spl0_112
  <=> apply(apply(w,apply(apply(w,w),apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,w)),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3898,plain,
    apply(apply(w,apply(apply(w,w),apply(w,apply(b,w)))),apply(w,apply(b,w))) = apply(apply(w,apply(w,w)),apply(w,apply(b,w))),
    inference(forward_demodulation,[],[f3797,f17]) ).

fof(f3797,plain,
    apply(apply(w,apply(w,w)),apply(w,apply(b,w))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(b,w))),apply(w,apply(b,w))),
    inference(superposition,[],[f16,f621]) ).

fof(f3897,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f3829,f3894]) ).

fof(f3894,plain,
    ( spl0_111
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3829,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f181,f621]) ).

fof(f3886,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f3796,f3883]) ).

fof(f3883,plain,
    ( spl0_110
  <=> apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3796,plain,
    apply(apply(w,w),apply(apply(w,apply(w,w)),apply(w,apply(b,w)))) = apply(apply(apply(w,b),apply(w,w)),apply(w,apply(b,w))),
    inference(superposition,[],[f46,f621]) ).

fof(f3880,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f3782,f3861]) ).

fof(f3861,plain,
    ( spl0_107
  <=> apply(apply(w,apply(w,w)),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3782,plain,
    apply(apply(w,apply(w,w)),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))),
    inference(superposition,[],[f621,f2]) ).

fof(f3876,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f3871,f3873]) ).

fof(f3871,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w))))),
    inference(forward_demodulation,[],[f3784,f621]) ).

fof(f3784,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,apply(w,apply(b,w))),apply(w,apply(w,apply(b,w))))) = apply(apply(w,apply(w,b)),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f621,f43]) ).

fof(f3870,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f3789,f3867]) ).

fof(f3789,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(w,apply(b,w)))),apply(b,apply(w,apply(w,apply(b,w)))))) = apply(apply(w,w),apply(b,apply(w,apply(w,apply(b,w))))),
    inference(superposition,[],[f621,f25]) ).

fof(f3864,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f3798,f3861]) ).

fof(f3798,plain,
    apply(apply(w,apply(w,w)),apply(w,apply(b,w))) = apply(apply(w,w),apply(w,apply(b,w))),
    inference(superposition,[],[f2,f621]) ).

fof(f3859,plain,
    ( spl0_7
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f3780,f453,f142]) ).

fof(f453,plain,
    ( spl0_16
  <=> apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f3780,plain,
    ( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f455,f621]) ).

fof(f455,plain,
    ( apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f3856,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f3851,f3853]) ).

fof(f3853,plain,
    ( spl0_106
  <=> apply(apply(w,w),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3851,plain,
    apply(apply(w,w),apply(w,apply(w,apply(b,w)))) = apply(apply(w,apply(apply(w,w),apply(w,apply(w,apply(b,w))))),apply(w,apply(w,apply(b,w)))),
    inference(forward_demodulation,[],[f3813,f17]) ).

fof(f3813,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(w,apply(b,w)))),apply(w,apply(w,apply(b,w)))) = apply(apply(w,w),apply(w,apply(w,apply(b,w)))),
    inference(superposition,[],[f15,f621]) ).

fof(f3778,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f3693,f3775]) ).

fof(f3775,plain,
    ( spl0_105
  <=> apply(apply(w,apply(w,apply(w,w))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3693,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f132,f542]) ).

fof(f3772,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f3771,f3757]) ).

fof(f3757,plain,
    ( spl0_104
  <=> apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3771,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f3688,f17]) ).

fof(f3688,plain,
    apply(apply(w,apply(w,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f132,f51]) ).

fof(f3760,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f3690,f3757]) ).

fof(f3690,plain,
    apply(apply(w,apply(w,apply(w,w))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f132,f92]) ).

fof(f3686,plain,
    ( spl0_103
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f3580,f453,f3683]) ).

fof(f3683,plain,
    ( spl0_103
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3580,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,apply(b,w)))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f131,f455]) ).

fof(f3676,plain,
    ( spl0_102
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f3581,f305,f3673]) ).

fof(f3673,plain,
    ( spl0_102
  <=> apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),b))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3581,plain,
    ( apply(apply(w,apply(w,apply(apply(b,apply(b,b)),b))),b) = apply(apply(w,apply(w,apply(w,apply(w,apply(apply(w,w),b))))),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f131,f307]) ).

fof(f3670,plain,
    ( spl0_101
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f3586,f63,f3667]) ).

fof(f3667,plain,
    ( spl0_101
  <=> apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3586,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(apply(w,w),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f131,f65]) ).

fof(f3665,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f3604,f3662]) ).

fof(f3662,plain,
    ( spl0_100
  <=> apply(apply(w,apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3604,plain,
    apply(apply(w,apply(apply(w,w),apply(b,w))),apply(b,w)) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,w)),
    inference(superposition,[],[f131,f25]) ).

fof(f3655,plain,
    ( spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f3582,f6,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> apply(apply(w,apply(w,strong_fixed_point)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3582,plain,
    ( apply(apply(w,apply(w,strong_fixed_point)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f131,f8]) ).

fof(f3537,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f3409,f3474]) ).

fof(f3474,plain,
    ( spl0_92
  <=> apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(apply(w,b),w))),apply(b,apply(w,apply(apply(w,b),w))))) = apply(apply(w,w),apply(b,apply(w,apply(apply(w,b),w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3409,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(apply(w,b),w))),apply(b,apply(w,apply(apply(w,b),w))))) = apply(apply(w,w),apply(b,apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f542,f25]) ).

fof(f3532,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f3531,f3502]) ).

fof(f3502,plain,
    ( spl0_96
  <=> apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(w,b))),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3531,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(w,b))),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f3447,f542]) ).

fof(f3447,plain,
    apply(apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(w,b))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f117,f542]) ).

fof(f3530,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f3525,f3527]) ).

fof(f3527,plain,
    ( spl0_99
  <=> apply(apply(w,w),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(apply(w,w),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3525,plain,
    apply(apply(w,w),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(apply(w,w),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f3433,f17]) ).

fof(f3433,plain,
    apply(apply(w,w),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f15,f542]) ).

fof(f3523,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f3522,f3516]) ).

fof(f3516,plain,
    ( spl0_98
  <=> apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f3522,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f3450,f542]) ).

fof(f3450,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f43,f542]) ).

fof(f3521,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f3520,f3516]) ).

fof(f3520,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f3404,f542]) ).

fof(f3404,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f542,f43]) ).

fof(f3519,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f3514,f3516]) ).

fof(f3514,plain,
    apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),
    inference(forward_demodulation,[],[f3435,f542]) ).

fof(f3435,plain,
    apply(apply(w,apply(apply(w,b),w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))) = apply(apply(w,apply(w,b)),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f43,f542]) ).

fof(f3510,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f3436,f3507]) ).

fof(f3507,plain,
    ( spl0_97
  <=> apply(apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))),apply(apply(w,w),apply(w,apply(apply(w,b),w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3436,plain,
    apply(apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))),apply(apply(w,w),apply(w,apply(apply(w,b),w)))) = apply(apply(apply(w,b),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f45,f542]) ).

fof(f3505,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f3500,f3502]) ).

fof(f3500,plain,
    apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,apply(w,b))),apply(w,apply(apply(w,b),w))),
    inference(forward_demodulation,[],[f3449,f542]) ).

fof(f3449,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,apply(apply(w,b),w))) = apply(apply(apply(w,apply(w,w)),apply(apply(w,apply(apply(w,b),w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f117,f542]) ).

fof(f3498,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f3419,f3481]) ).

fof(f3419,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)),
    inference(superposition,[],[f2,f542]) ).

fof(f3495,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f3417,f3492]) ).

fof(f3492,plain,
    ( spl0_95
  <=> apply(apply(w,w),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3417,plain,
    apply(apply(w,w),apply(apply(w,apply(w,w)),apply(apply(w,b),w))) = apply(apply(apply(w,b),apply(w,w)),apply(apply(w,b),w)),
    inference(superposition,[],[f46,f542]) ).

fof(f3490,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f3485,f3487]) ).

fof(f3487,plain,
    ( spl0_94
  <=> apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3485,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,apply(apply(w,w),apply(apply(w,b),w))),apply(apply(w,b),w)),
    inference(forward_demodulation,[],[f3418,f17]) ).

fof(f3418,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(apply(w,apply(w,w)),apply(apply(w,b),w)),apply(apply(w,b),w)),
    inference(superposition,[],[f16,f542]) ).

fof(f3484,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f3402,f3481]) ).

fof(f3402,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),w)) = apply(apply(w,w),apply(apply(w,b),w)),
    inference(superposition,[],[f542,f2]) ).

fof(f3477,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f3462,f3474]) ).

fof(f3462,plain,
    apply(apply(w,apply(w,w)),apply(apply(b,apply(w,apply(apply(w,b),w))),apply(b,apply(w,apply(apply(w,b),w))))) = apply(apply(w,w),apply(b,apply(w,apply(apply(w,b),w)))),
    inference(superposition,[],[f25,f542]) ).

fof(f3472,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f3448,f3469]) ).

fof(f3469,plain,
    ( spl0_91
  <=> apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3448,plain,
    apply(apply(w,apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w)))),apply(w,apply(apply(w,b),w))) = apply(apply(w,apply(w,w)),apply(w,apply(apply(w,b),w))),
    inference(superposition,[],[f181,f542]) ).

fof(f3387,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f3386,f3378]) ).

fof(f3378,plain,
    ( spl0_90
  <=> apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3386,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f3294,f17]) ).

fof(f3294,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f541,f51]) ).

fof(f541,plain,
    ! [X0] : apply(apply(w,apply(apply(w,b),w)),X0) = apply(apply(w,apply(X0,X0)),X0),
    inference(superposition,[],[f56,f122]) ).

fof(f3381,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f3296,f3378]) ).

fof(f3296,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),w)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f541,f92]) ).

fof(f2638,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f2525,f1360]) ).

fof(f2525,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f92,f47]) ).

fof(f2630,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f2599,f1286]) ).

fof(f1286,plain,
    ( spl0_54
  <=> apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2599,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f45,f92]) ).

fof(f2627,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f2607,f1370]) ).

fof(f1370,plain,
    ( spl0_65
  <=> apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2607,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f181,f92]) ).

fof(f2626,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f2596,f1302]) ).

fof(f1302,plain,
    ( spl0_56
  <=> apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2596,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f15,f92]) ).

fof(f2625,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f2565,f1360]) ).

fof(f2565,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f47,f92]) ).

fof(f2623,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f2622,f2612]) ).

fof(f2622,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f2583,f84]) ).

fof(f2583,plain,
    apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f85,f92]) ).

fof(f2621,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f2620,f1332]) ).

fof(f1332,plain,
    ( spl0_60
  <=> apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2620,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f2598,f51]) ).

fof(f2598,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f43,f92]) ).

fof(f2617,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f2616,f1315]) ).

fof(f1315,plain,
    ( spl0_58
  <=> apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2616,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f2606,f51]) ).

fof(f2606,plain,
    apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f117,f92]) ).

fof(f2615,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f2610,f2612]) ).

fof(f2610,plain,
    apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f2534,f84]) ).

fof(f2534,plain,
    apply(apply(w,apply(b,apply(apply(w,b),apply(apply(w,b),apply(w,b))))),apply(w,b)) = apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(apply(w,b),apply(w,b)))),
    inference(superposition,[],[f92,f85]) ).

fof(f2469,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f2323,f2466]) ).

fof(f2323,plain,
    apply(apply(w,apply(apply(w,w),apply(b,b))),b) = apply(apply(w,w),apply(b,b)),
    inference(superposition,[],[f86,f25]) ).

fof(f2059,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f2012,f2056]) ).

fof(f2056,plain,
    ( spl0_87
  <=> apply(apply(w,apply(b,b)),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2012,plain,
    apply(apply(w,apply(b,b)),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b),
    inference(superposition,[],[f84,f25]) ).

fof(f2042,plain,
    ( spl0_86
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1982,f63,f2039]) ).

fof(f2039,plain,
    ( spl0_86
  <=> apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,w),apply(w,b)))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1982,plain,
    ( apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,w),apply(w,b)))),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f84,f65]) ).

fof(f1865,plain,
    ( spl0_85
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1710,f37,f1862]) ).

fof(f1862,plain,
    ( spl0_85
  <=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(apply(apply(w,b),apply(b,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(b,b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f37,plain,
    ( spl0_3
  <=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(strong_fixed_point,apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1710,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(apply(apply(w,b),apply(b,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(b,b)),b)
    | ~ spl0_3 ),
    inference(superposition,[],[f67,f39]) ).

fof(f39,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(strong_fixed_point,apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f1839,plain,
    ( spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1709,f6,f1836]) ).

fof(f1836,plain,
    ( spl0_84
  <=> apply(apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b)),b) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1709,plain,
    ( apply(apply(apply(apply(w,b),apply(b,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(b,b)),b) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f8]) ).

fof(f1588,plain,
    ( spl0_33
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1587,f63,f822]) ).

fof(f822,plain,
    ( spl0_33
  <=> apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1587,plain,
    ( apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1512,f17]) ).

fof(f1512,plain,
    ( apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(apply(w,w),apply(w,b)),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f45,f65]) ).

fof(f1586,plain,
    ( spl0_83
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1581,f63,f1583]) ).

fof(f1583,plain,
    ( spl0_83
  <=> apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1581,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1580,f17]) ).

fof(f1580,plain,
    ( apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1528,f51]) ).

fof(f1528,plain,
    ( apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f58,f65]) ).

fof(f1579,plain,
    ( spl0_82
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1574,f63,f1576]) ).

fof(f1576,plain,
    ( spl0_82
  <=> apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1574,plain,
    ( apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1573,f17]) ).

fof(f1573,plain,
    ( apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1526,f51]) ).

fof(f1526,plain,
    ( apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f51,f65]) ).

fof(f1572,plain,
    ( spl0_81
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1567,f63,f1569]) ).

fof(f1569,plain,
    ( spl0_81
  <=> apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1567,plain,
    ( apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1520,f17]) ).

fof(f1520,plain,
    ( apply(apply(w,apply(apply(b,apply(w,b)),apply(w,b))),apply(w,b)) = apply(apply(apply(w,w),apply(w,b)),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f22,f65]) ).

fof(f1566,plain,
    ( spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1527,f63,f1563]) ).

fof(f1563,plain,
    ( spl0_80
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1527,plain,
    ( apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f56,f65]) ).

fof(f1561,plain,
    ( spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1522,f63,f1558]) ).

fof(f1558,plain,
    ( spl0_79
  <=> apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1522,plain,
    ( apply(apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f16,f65]) ).

fof(f1556,plain,
    ( spl0_78
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1551,f63,f1553]) ).

fof(f1553,plain,
    ( spl0_78
  <=> apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1551,plain,
    ( apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(w,b))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1519,f17]) ).

fof(f1519,plain,
    ( apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(w,b)) = apply(apply(apply(w,w),apply(w,b)),apply(w,b))
    | ~ spl0_4 ),
    inference(superposition,[],[f90,f65]) ).

fof(f1550,plain,
    ( spl0_77
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1515,f63,f1547]) ).

fof(f1547,plain,
    ( spl0_77
  <=> apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1515,plain,
    ( apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(b,apply(apply(w,b),apply(w,b)))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f17,f65]) ).

fof(f1545,plain,
    ( spl0_76
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1529,f63,f1542]) ).

fof(f1542,plain,
    ( spl0_76
  <=> apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1529,plain,
    ( apply(apply(w,apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f122,f65]) ).

fof(f1540,plain,
    ( spl0_75
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1525,f63,f1537]) ).

fof(f1537,plain,
    ( spl0_75
  <=> apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1525,plain,
    ( apply(apply(apply(w,w),apply(w,b)),apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,w),apply(w,b))),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f47,f65]) ).

fof(f1535,plain,
    ( spl0_74
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1524,f63,f1532]) ).

fof(f1532,plain,
    ( spl0_74
  <=> apply(apply(apply(w,b),apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1524,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))))
    | ~ spl0_4 ),
    inference(superposition,[],[f46,f65]) ).

fof(f1530,plain,
    ( spl0_68
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1521,f63,f1477]) ).

fof(f1521,plain,
    ( apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b)))
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f65]) ).

fof(f1508,plain,
    ( spl0_73
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1431,f37,f1505]) ).

fof(f1505,plain,
    ( spl0_73
  <=> apply(apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(strong_fixed_point,apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1431,plain,
    ( apply(apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(strong_fixed_point,apply(apply(b,b),b)))
    | ~ spl0_3 ),
    inference(superposition,[],[f58,f39]) ).

fof(f1502,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f1384,f1499]) ).

fof(f1499,plain,
    ( spl0_72
  <=> apply(apply(w,b),apply(b,b)) = apply(apply(apply(w,apply(w,w)),b),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1384,plain,
    apply(apply(w,b),apply(b,b)) = apply(apply(apply(w,apply(w,w)),b),apply(b,b)),
    inference(superposition,[],[f58,f16]) ).

fof(f1496,plain,
    ( spl0_71
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1428,f305,f1493]) ).

fof(f1493,plain,
    ( spl0_71
  <=> apply(apply(w,apply(w,apply(apply(w,w),b))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1428,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),b))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_12 ),
    inference(superposition,[],[f58,f307]) ).

fof(f1491,plain,
    ( spl0_70
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1429,f6,f1488]) ).

fof(f1488,plain,
    ( spl0_70
  <=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point) = apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1429,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point) = apply(apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)),strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f58,f8]) ).

fof(f1486,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f1481,f1483]) ).

fof(f1483,plain,
    ( spl0_69
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(w,b))),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1481,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(w,apply(b,apply(w,b))),apply(w,b))) = apply(apply(apply(w,apply(w,apply(w,b))),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),
    inference(forward_demodulation,[],[f1381,f17]) ).

fof(f1381,plain,
    apply(apply(apply(w,apply(w,apply(w,b))),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(w,b))),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),
    inference(superposition,[],[f58,f117]) ).

fof(f1480,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f1380,f1477]) ).

fof(f1380,plain,
    apply(apply(apply(w,w),apply(w,b)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f58,f15]) ).

fof(f1474,plain,
    ( spl0_67
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1426,f453,f1471]) ).

fof(f1471,plain,
    ( spl0_67
  <=> apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1426,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(b,apply(b,b))) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b),apply(b,apply(b,b)))
    | ~ spl0_16 ),
    inference(superposition,[],[f58,f455]) ).

fof(f1458,plain,
    ( spl0_66
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1427,f294,f1455]) ).

fof(f1427,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f58,f296]) ).

fof(f1373,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f1368,f1370]) ).

fof(f1368,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1274,f17]) ).

fof(f1274,plain,
    apply(apply(w,apply(w,w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f181,f51]) ).

fof(f1367,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f1366,f1360]) ).

fof(f1366,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f1252,f17]) ).

fof(f1252,plain,
    apply(apply(w,apply(w,b)),apply(apply(apply(w,b),apply(w,apply(w,b))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f51,f47]) ).

fof(f1363,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f1358,f1360]) ).

fof(f1358,plain,
    apply(apply(w,apply(w,b)),apply(apply(w,apply(b,apply(w,apply(w,b)))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(forward_demodulation,[],[f1255,f17]) ).

fof(f1255,plain,
    apply(apply(w,apply(w,b)),apply(apply(apply(w,b),apply(w,apply(w,b))),apply(w,apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(w,apply(w,b)))),apply(w,apply(w,b))),
    inference(superposition,[],[f47,f51]) ).

fof(f1357,plain,
    ( spl0_63
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1240,f305,f1354]) ).

fof(f1354,plain,
    ( spl0_63
  <=> apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),apply(apply(b,apply(b,b)),b)) = apply(apply(w,apply(apply(w,w),b)),apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1240,plain,
    ( apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),apply(apply(b,apply(b,b)),b)) = apply(apply(w,apply(apply(w,w),b)),apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b))
    | ~ spl0_12 ),
    inference(superposition,[],[f51,f307]) ).

fof(f1349,plain,
    ( spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1241,f6,f1346]) ).

fof(f1346,plain,
    ( spl0_62
  <=> apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1241,plain,
    ( apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f8]) ).

fof(f1343,plain,
    ( spl0_61
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1243,f37,f1340]) ).

fof(f1340,plain,
    ( spl0_61
  <=> apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1243,plain,
    ( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)))
    | ~ spl0_3 ),
    inference(superposition,[],[f51,f39]) ).

fof(f1335,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f1330,f1332]) ).

fof(f1330,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1329,f17]) ).

fof(f1329,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1270,f51]) ).

fof(f1270,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(w,apply(w,b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f43,f51]) ).

fof(f1325,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f1320,f1322]) ).

fof(f1322,plain,
    ( spl0_59
  <=> apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(b,w),w)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1320,plain,
    apply(apply(w,apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(b,w),w)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1276,f17]) ).

fof(f1276,plain,
    apply(apply(w,apply(apply(b,w),w)),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f319,f51]) ).

fof(f319,plain,
    ! [X7] : apply(apply(w,apply(apply(b,w),w)),X7) = apply(apply(w,apply(X7,X7)),X7),
    inference(superposition,[],[f122,f22]) ).

fof(f1318,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f1313,f1315]) ).

fof(f1313,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1312,f17]) ).

fof(f1312,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1273,f51]) ).

fof(f1273,plain,
    apply(apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))) = apply(apply(w,apply(w,apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f117,f51]) ).

fof(f1310,plain,
    ( spl0_57
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1239,f294,f1307]) ).

fof(f1239,plain,
    ( apply(apply(w,apply(w,apply(w,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f51,f296]) ).

fof(f1305,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f1300,f1302]) ).

fof(f1300,plain,
    apply(apply(w,w),apply(apply(w,b),apply(w,b))) = apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1268,f17]) ).

fof(f1268,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f15,f51]) ).

fof(f1299,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f1294,f1296]) ).

fof(f1296,plain,
    ( spl0_55
  <=> apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(apply(b,w),b)),apply(apply(w,b),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1294,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))) = apply(apply(w,apply(apply(b,w),b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1293,f17]) ).

fof(f1293,plain,
    apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(w,apply(apply(b,w),b)),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1275,f51]) ).

fof(f1275,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))) = apply(apply(w,apply(apply(b,w),b)),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f235,f51]) ).

fof(f1289,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f1284,f1286]) ).

fof(f1284,plain,
    apply(apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(w,apply(b,apply(w,b))),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(forward_demodulation,[],[f1271,f17]) ).

fof(f1271,plain,
    apply(apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b))),apply(apply(w,w),apply(apply(w,b),apply(w,b)))) = apply(apply(apply(w,b),apply(apply(w,b),apply(apply(apply(w,b),apply(w,b)),apply(w,b)))),apply(apply(w,b),apply(w,b))),
    inference(superposition,[],[f45,f51]) ).

fof(f1281,plain,
    ( spl0_53
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1238,f453,f1278]) ).

fof(f1278,plain,
    ( spl0_53
  <=> apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),apply(b,apply(b,b))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1238,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),apply(b,apply(b,b))) = apply(apply(w,apply(w,apply(b,w))),apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b))
    | ~ spl0_16 ),
    inference(superposition,[],[f51,f455]) ).

fof(f1141,plain,
    ( spl0_52
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1047,f453,f1138]) ).

fof(f1138,plain,
    ( spl0_52
  <=> apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,apply(b,w)))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1047,plain,
    ( apply(apply(b,apply(b,b)),apply(apply(w,apply(w,apply(w,apply(b,w)))),b)) = apply(apply(apply(w,b),apply(b,apply(b,b))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f47,f455]) ).

fof(f1134,plain,
    ( spl0_51
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1129,f305,f1131]) ).

fof(f1129,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,b)),b)),b) = apply(apply(apply(w,apply(w,b)),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1010,f17]) ).

fof(f1010,plain,
    ( apply(apply(apply(apply(w,w),b),b),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,b),apply(apply(apply(w,w),b),b)),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f47,f307]) ).

fof(f1128,plain,
    ( spl0_50
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1123,f294,f1125]) ).

fof(f1123,plain,
    ( apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(w,apply(w,w)))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1048,f1]) ).

fof(f1048,plain,
    ( apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) = apply(apply(apply(b,apply(b,b)),b),apply(apply(w,apply(w,apply(w,apply(w,w)))),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f47,f296]) ).

fof(f1121,plain,
    ( spl0_49
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1116,f305,f1118]) ).

fof(f1118,plain,
    ( spl0_49
  <=> apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(apply(w,w),b))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1116,plain,
    ( apply(apply(b,b),apply(b,apply(apply(w,apply(w,apply(apply(w,w),b))),b))) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1049,f1]) ).

fof(f1049,plain,
    ( apply(apply(apply(b,apply(b,b)),b),apply(apply(w,apply(w,apply(apply(w,w),b))),b)) = apply(apply(apply(w,b),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f47,f307]) ).

fof(f1109,plain,
    ( spl0_48
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1009,f294,f1106]) ).

fof(f1106,plain,
    ( spl0_48
  <=> apply(apply(apply(w,b),apply(apply(w,apply(w,w)),b)),b) = apply(apply(apply(w,apply(w,w)),b),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1009,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(w,w)),b)),b) = apply(apply(apply(w,apply(w,w)),b),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f47,f296]) ).

fof(f1104,plain,
    ( spl0_47
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1052,f37,f1101]) ).

fof(f1052,plain,
    ( apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f47,f39]) ).

fof(f1099,plain,
    ( spl0_46
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1008,f453,f1096]) ).

fof(f1096,plain,
    ( spl0_46
  <=> apply(apply(apply(w,b),apply(apply(w,apply(b,w)),b)),b) = apply(apply(apply(w,apply(b,w)),b),apply(b,apply(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1008,plain,
    ( apply(apply(apply(w,b),apply(apply(w,apply(b,w)),b)),b) = apply(apply(apply(w,apply(b,w)),b),apply(b,apply(b,b)))
    | ~ spl0_16 ),
    inference(superposition,[],[f47,f455]) ).

fof(f989,plain,
    ( spl0_45
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f984,f305,f986]) ).

fof(f986,plain,
    ( spl0_45
  <=> apply(apply(w,apply(w,apply(apply(w,w),b))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(apply(w,w),b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f984,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),b))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(apply(w,w),b)))),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f947,f1]) ).

fof(f947,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(w,apply(apply(w,w),b))),apply(apply(apply(b,apply(b,b)),b),b))
    | ~ spl0_12 ),
    inference(superposition,[],[f46,f307]) ).

fof(f983,plain,
    ( spl0_44
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f949,f305,f980]) ).

fof(f980,plain,
    ( spl0_44
  <=> apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f949,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f122,f307]) ).

fof(f978,plain,
    ( spl0_43
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f946,f305,f975]) ).

fof(f975,plain,
    ( spl0_43
  <=> apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f946,plain,
    ( apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)) = apply(apply(apply(w,b),apply(w,apply(apply(w,w),b))),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f19,f307]) ).

fof(f973,plain,
    ( spl0_42
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f968,f305,f970]) ).

fof(f970,plain,
    ( spl0_42
  <=> apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(apply(w,apply(w,b)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f968,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(apply(w,apply(w,b)),b)),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f967,f1]) ).

fof(f967,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(apply(w,apply(w,b)),b)),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f943,f17]) ).

fof(f943,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(apply(apply(w,w),b),b)),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f17,f307]) ).

fof(f966,plain,
    ( spl0_41
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f961,f305,f963]) ).

fof(f961,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f945,f16]) ).

fof(f945,plain,
    ( apply(apply(w,apply(w,apply(w,apply(apply(w,w),b)))),b) = apply(apply(apply(apply(b,apply(b,b)),b),b),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f16,f307]) ).

fof(f960,plain,
    ( spl0_40
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f948,f305,f957]) ).

fof(f957,plain,
    ( spl0_40
  <=> apply(apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),b)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f948,plain,
    ( apply(apply(apply(w,apply(apply(w,w),b)),apply(apply(b,apply(b,b)),b)),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(apply(w,w),b)))),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f56,f307]) ).

fof(f955,plain,
    ( spl0_39
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f950,f305,f952]) ).

fof(f952,plain,
    ( spl0_39
  <=> apply(apply(w,apply(w,apply(apply(w,w),b))),b) = apply(apply(b,b),apply(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f950,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),b))),b) = apply(apply(b,b),apply(b,b))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f944,f1]) ).

fof(f944,plain,
    ( apply(apply(w,apply(w,apply(apply(w,w),b))),b) = apply(apply(apply(b,apply(b,b)),b),b)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f307]) ).

fof(f931,plain,
    ( spl0_38
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f873,f37,f928]) ).

fof(f928,plain,
    ( spl0_38
  <=> apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f873,plain,
    ( apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f46,f39]) ).

fof(f921,plain,
    ( spl0_37
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f916,f294,f918]) ).

fof(f916,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(b,b),apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f870,f1]) ).

fof(f870,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,w)))),apply(apply(apply(b,apply(b,b)),b),b)) = apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(w,w))))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f46,f296]) ).

fof(f912,plain,
    ( spl0_36
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f869,f453,f909]) ).

fof(f909,plain,
    ( spl0_36
  <=> apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(b,w))))),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(b,apply(b,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f869,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(w,apply(b,w))))),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_16 ),
    inference(superposition,[],[f46,f455]) ).

fof(f907,plain,
    ( spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f871,f6,f285]) ).

fof(f285,plain,
    ( spl0_9
  <=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f871,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f46,f8]) ).

fof(f838,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f802,f827]) ).

fof(f827,plain,
    ( spl0_34
  <=> apply(apply(w,apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f802,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f56,f45]) ).

fof(f837,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f800,f822]) ).

fof(f800,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f117,f45]) ).

fof(f836,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f831,f833]) ).

fof(f833,plain,
    ( spl0_35
  <=> apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,w)),apply(w,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f831,plain,
    apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))) = apply(apply(w,apply(w,w)),apply(w,b)),
    inference(forward_demodulation,[],[f792,f16]) ).

fof(f792,plain,
    apply(apply(apply(w,apply(w,b)),apply(w,b)),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f45,f43]) ).

fof(f830,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f796,f827]) ).

fof(f796,plain,
    apply(apply(w,apply(apply(w,b),apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f45,f56]) ).

fof(f825,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f794,f822]) ).

fof(f794,plain,
    apply(apply(w,apply(w,apply(w,b))),apply(w,b)) = apply(apply(apply(w,b),apply(w,b)),apply(apply(w,w),apply(w,b))),
    inference(superposition,[],[f45,f117]) ).

fof(f820,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f815,f817]) ).

fof(f815,plain,
    apply(apply(w,b),apply(apply(b,apply(w,b)),apply(apply(w,w),apply(b,apply(w,b))))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f814,f1]) ).

fof(f814,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(w,apply(w,apply(b,apply(w,b)))),apply(b,apply(w,b))),
    inference(forward_demodulation,[],[f793,f17]) ).

fof(f793,plain,
    apply(apply(apply(b,apply(w,b)),apply(b,apply(w,b))),apply(apply(w,w),apply(b,apply(w,b)))) = apply(apply(apply(w,w),apply(b,apply(w,b))),apply(b,apply(w,b))),
    inference(superposition,[],[f45,f25]) ).

fof(f787,plain,
    ( spl0_31
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f757,f294,f784]) ).

fof(f757,plain,
    ( apply(apply(apply(w,b),apply(w,apply(w,apply(w,w)))),b) = apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b))
    | ~ spl0_10 ),
    inference(superposition,[],[f19,f296]) ).

fof(f782,plain,
    ( spl0_30
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f777,f294,f779]) ).

fof(f777,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(w,apply(b,apply(b,b)))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f756,f16]) ).

fof(f756,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(apply(b,apply(b,b)),b),b),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f16,f296]) ).

fof(f776,plain,
    ( spl0_29
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f755,f294,f773]) ).

fof(f755,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(w,w))))),b) = apply(apply(w,apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f122,f296]) ).

fof(f771,plain,
    ( spl0_28
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f754,f294,f768]) ).

fof(f754,plain,
    ( apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(w,w))))),b) = apply(apply(apply(w,apply(w,apply(w,w))),apply(apply(b,apply(b,b)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f56,f296]) ).

fof(f766,plain,
    ( spl0_27
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f761,f294,f763]) ).

fof(f763,plain,
    ( spl0_27
  <=> apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(apply(w,apply(w,w)),b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f761,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(apply(w,apply(w,w)),b)),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f753,f1]) ).

fof(f753,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(apply(w,apply(w,w)),b)),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f17,f296]) ).

fof(f760,plain,
    ( spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f759,f294,f300]) ).

fof(f759,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f758,f1]) ).

fof(f758,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f296]) ).

fof(f752,plain,
    ( spl0_26
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f747,f453,f749]) ).

fof(f749,plain,
    ( spl0_26
  <=> apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f747,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),b)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f719,f1]) ).

fof(f719,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),b) = apply(apply(apply(b,apply(b,b)),b),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f16,f455]) ).

fof(f746,plain,
    ( spl0_25
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f721,f453,f743]) ).

fof(f721,plain,
    ( apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,apply(b,w)))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f455]) ).

fof(f741,plain,
    ( spl0_24
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f718,f453,f738]) ).

fof(f738,plain,
    ( spl0_24
  <=> apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),b) = apply(apply(w,apply(b,apply(b,b))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f718,plain,
    ( apply(apply(w,apply(w,apply(w,apply(w,apply(b,w))))),b) = apply(apply(w,apply(b,apply(b,b))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f122,f455]) ).

fof(f736,plain,
    ( spl0_23
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f720,f453,f733]) ).

fof(f733,plain,
    ( spl0_23
  <=> apply(apply(w,apply(w,apply(b,w))),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f720,plain,
    ( apply(apply(w,apply(w,apply(b,w))),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,apply(b,w)))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f19,f455]) ).

fof(f731,plain,
    ( spl0_22
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f717,f453,f728]) ).

fof(f728,plain,
    ( spl0_22
  <=> apply(apply(apply(w,apply(w,apply(b,w))),apply(b,apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(b,w))))),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f717,plain,
    ( apply(apply(apply(w,apply(w,apply(b,w))),apply(b,apply(b,b))),b) = apply(apply(w,apply(apply(w,b),apply(w,apply(w,apply(b,w))))),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f56,f455]) ).

fof(f726,plain,
    ( spl0_21
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f716,f453,f723]) ).

fof(f723,plain,
    ( spl0_21
  <=> apply(apply(w,apply(apply(w,apply(b,w)),b)),b) = apply(apply(b,apply(b,b)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f716,plain,
    ( apply(apply(w,apply(apply(w,apply(b,w)),b)),b) = apply(apply(b,apply(b,b)),b)
    | ~ spl0_16 ),
    inference(superposition,[],[f17,f455]) ).

fof(f586,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f581,f6,f583]) ).

fof(f583,plain,
    ( spl0_20
  <=> apply(apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f581,plain,
    ( apply(apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,apply(apply(b,b),b))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f580,f1]) ).

fof(f580,plain,
    ( apply(apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,apply(apply(b,b),b)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f527,f1]) ).

fof(f527,plain,
    ( apply(apply(w,apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f56,f8]) ).

fof(f578,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f529,f37,f575]) ).

fof(f575,plain,
    ( spl0_19
  <=> apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b)) = apply(apply(w,apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f529,plain,
    ( apply(apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b)) = apply(apply(w,apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f56,f39]) ).

fof(f501,plain,
    ( spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f477,f6,f498]) ).

fof(f477,plain,
    ( apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(w,w),apply(b,b))))) = apply(strong_fixed_point,apply(apply(b,b),apply(b,b)))
    | ~ spl0_1 ),
    inference(superposition,[],[f35,f25]) ).

fof(f495,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f490,f492]) ).

fof(f492,plain,
    ( spl0_17
  <=> apply(apply(w,w),apply(apply(w,w),apply(b,b))) = apply(b,apply(apply(b,b),apply(apply(apply(w,w),apply(b,b)),apply(apply(w,w),apply(b,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f490,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,b))) = apply(b,apply(apply(b,b),apply(apply(apply(w,w),apply(b,b)),apply(apply(w,w),apply(b,b))))),
    inference(forward_demodulation,[],[f466,f1]) ).

fof(f466,plain,
    apply(apply(w,w),apply(apply(w,w),apply(b,b))) = apply(apply(apply(b,b),apply(b,b)),apply(apply(apply(w,w),apply(b,b)),apply(apply(w,w),apply(b,b)))),
    inference(superposition,[],[f25,f25]) ).

fof(f459,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f439,f453]) ).

fof(f439,plain,
    apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b),
    inference(superposition,[],[f122,f235]) ).

fof(f456,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f422,f453]) ).

fof(f422,plain,
    apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b),
    inference(superposition,[],[f235,f122]) ).

fof(f374,plain,
    ( spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f336,f37,f371]) ).

fof(f336,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) = apply(apply(w,apply(strong_fixed_point,apply(apply(b,b),b))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f122,f39]) ).

fof(f367,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f334,f6,f364]) ).

fof(f364,plain,
    ( spl0_14
  <=> apply(apply(w,strong_fixed_point),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f334,plain,
    ( apply(apply(w,strong_fixed_point),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f122,f8]) ).

fof(f313,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f291,f142,f310]) ).

fof(f291,plain,
    ( apply(apply(w,apply(w,w)),apply(b,apply(b,b))) = apply(apply(apply(w,b),apply(w,apply(w,w))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f19,f144]) ).

fof(f308,plain,
    ( spl0_12
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f289,f142,f305]) ).

fof(f289,plain,
    ( apply(apply(w,apply(apply(w,w),b)),b) = apply(apply(b,apply(b,b)),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f17,f144]) ).

fof(f303,plain,
    ( spl0_11
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f298,f142,f300]) ).

fof(f298,plain,
    ( apply(apply(b,b),apply(b,b)) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f290,f1]) ).

fof(f290,plain,
    ( apply(apply(apply(b,apply(b,b)),b),b) = apply(apply(w,apply(w,apply(w,apply(w,w)))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f16,f144]) ).

fof(f297,plain,
    ( spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f292,f142,f294]) ).

fof(f292,plain,
    ( apply(apply(b,apply(b,b)),b) = apply(apply(w,apply(w,apply(w,w))),b)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f144]) ).

fof(f288,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f274,f37,f285]) ).

fof(f274,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(b,b),b))) = apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f19,f39]) ).

fof(f283,plain,
    ( spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f275,f37,f135]) ).

fof(f135,plain,
    ( spl0_6
  <=> apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f275,plain,
    ( apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f39]) ).

fof(f281,plain,
    ( spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f276,f37,f278]) ).

fof(f276,plain,
    ( apply(apply(w,apply(w,strong_fixed_point)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f273,f16]) ).

fof(f273,plain,
    ( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(b,b),b)) = apply(apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b)),apply(apply(b,b),b))
    | ~ spl0_3 ),
    inference(superposition,[],[f16,f39]) ).

fof(f147,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f125,f142]) ).

fof(f125,plain,
    apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b),
    inference(superposition,[],[f19,f16]) ).

fof(f145,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f121,f142]) ).

fof(f121,plain,
    apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b),
    inference(superposition,[],[f16,f19]) ).

fof(f138,plain,
    ( spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f110,f6,f135]) ).

fof(f110,plain,
    ( apply(apply(strong_fixed_point,apply(apply(b,b),b)),apply(apply(b,b),b)) = apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f16,f8]) ).

fof(f74,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f42,f63]) ).

fof(f42,plain,
    apply(apply(w,b),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(w,b)),
    inference(superposition,[],[f19,f15]) ).

fof(f72,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f50,f6,f69]) ).

fof(f69,plain,
    ( spl0_5
  <=> apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f50,plain,
    ( apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point)
    | ~ spl0_1 ),
    inference(superposition,[],[f19,f8]) ).

fof(f66,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f54,f63]) ).

fof(f54,plain,
    apply(apply(w,b),apply(apply(w,b),apply(w,b))) = apply(apply(w,w),apply(w,b)),
    inference(superposition,[],[f15,f19]) ).

fof(f40,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f33,f6,f37]) ).

fof(f33,plain,
    ( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(b,b),b)) = apply(strong_fixed_point,apply(apply(b,b),b))
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f8]) ).

fof(f14,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f4,f11]) ).

fof(f4,axiom,
    apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

fof(f9,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f3,f6]) ).

fof(f3,axiom,
    strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COL003-18 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 16:35:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
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% 0.78/0.65  % (19229)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 0.78/0.65  % (19236)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 0.78/0.66  % (19252)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/495Mi)
% 1.32/0.67  % (19244)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/103Mi)
% 1.32/0.69  % (19227)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.32/0.69  % (19238)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/353Mi)
% 1.32/0.70  % (19250)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.32/0.70  % (19226)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/10Mi)
% 1.32/0.70  % (19226)Refutation not found, incomplete strategy% (19226)------------------------------
% 1.32/0.70  % (19226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.70  % (19247)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/267Mi)
% 1.32/0.70  % (19226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.70  % (19226)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.70  
% 1.32/0.70  % (19226)Memory used [KB]: 5500
% 1.32/0.70  % (19226)Time elapsed: 0.119 s
% 1.32/0.70  % (19226)Instructions burned: 1 (million)
% 1.32/0.70  % (19226)------------------------------
% 1.32/0.70  % (19226)------------------------------
% 1.32/0.70  % (19228)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.32/0.70  % (19239)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/321Mi)
% 1.32/0.70  % (19235)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.32/0.70  % (19237)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/292Mi)
% 1.32/0.71  % (19247)Refutation not found, incomplete strategy% (19247)------------------------------
% 1.32/0.71  % (19247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.71  % (19247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.71  % (19247)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.71  
% 1.32/0.71  % (19247)Memory used [KB]: 5500
% 1.32/0.71  % (19247)Time elapsed: 0.074 s
% 1.32/0.71  % (19247)Instructions burned: 3 (million)
% 1.32/0.71  % (19247)------------------------------
% 1.32/0.71  % (19247)------------------------------
% 1.32/0.71  % (19231)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.32/0.71  % (19240)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/212Mi)
% 1.32/0.71  % (19236)Instruction limit reached!
% 1.32/0.71  % (19236)------------------------------
% 1.32/0.71  % (19236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.71  % (19236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.71  % (19236)Termination reason: Unknown
% 1.32/0.71  % (19236)Termination phase: Saturation
% 1.32/0.71  
% 1.32/0.71  % (19236)Memory used [KB]: 6268
% 1.32/0.71  % (19236)Time elapsed: 0.129 s
% 1.32/0.71  % (19236)Instructions burned: 48 (million)
% 1.32/0.71  % (19236)------------------------------
% 1.32/0.71  % (19236)------------------------------
% 1.32/0.71  % (19242)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 1.32/0.71  % (19251)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/267Mi)
% 1.32/0.71  % (19241)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.32/0.71  % (19253)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/381Mi)
% 1.32/0.71  % (19246)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/481Mi)
% 1.32/0.71  % (19232)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.32/0.71  % (19253)Refutation not found, incomplete strategy% (19253)------------------------------
% 1.32/0.71  % (19253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.71  % (19253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.71  % (19253)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.72  
% 1.32/0.72  % (19253)Memory used [KB]: 5373
% 1.32/0.72  % (19253)Time elapsed: 0.143 s
% 1.32/0.72  % (19253)Instructions burned: 2 (million)
% 1.32/0.72  % (19253)------------------------------
% 1.32/0.72  % (19253)------------------------------
% 1.32/0.72  % (19254)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.32/0.72  % (19231)Instruction limit reached!
% 1.32/0.72  % (19231)------------------------------
% 1.32/0.72  % (19231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.72  % (19231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.72  % (19231)Termination reason: Unknown
% 1.32/0.72  % (19231)Termination phase: Saturation
% 1.32/0.72  
% 1.32/0.72  % (19231)Memory used [KB]: 5628
% 1.32/0.72  % (19231)Time elapsed: 0.090 s
% 1.32/0.72  % (19231)Instructions burned: 8 (million)
% 1.32/0.72  % (19231)------------------------------
% 1.32/0.72  % (19231)------------------------------
% 1.32/0.72  % (19234)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.32/0.72  % (19232)Refutation not found, incomplete strategy% (19232)------------------------------
% 1.32/0.72  % (19232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.72  % (19232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.72  % (19232)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.72  
% 1.32/0.72  % (19232)Memory used [KB]: 5500
% 1.32/0.72  % (19232)Time elapsed: 0.142 s
% 1.32/0.72  % (19232)Instructions burned: 2 (million)
% 1.32/0.72  % (19232)------------------------------
% 1.32/0.72  % (19232)------------------------------
% 1.32/0.72  % (19234)Refutation not found, incomplete strategy% (19234)------------------------------
% 1.32/0.72  % (19234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.72  % (19234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.72  % (19234)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.72  
% 1.32/0.72  % (19234)Memory used [KB]: 5500
% 1.32/0.72  % (19234)Time elapsed: 0.145 s
% 1.32/0.72  % (19234)Instructions burned: 2 (million)
% 1.32/0.72  % (19234)------------------------------
% 1.32/0.72  % (19234)------------------------------
% 1.32/0.72  % (19230)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.32/0.72  % (19225)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99788Mi)
% 1.32/0.72  % (19230)Refutation not found, incomplete strategy% (19230)------------------------------
% 1.32/0.72  % (19230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.72  % (19228)Instruction limit reached!
% 1.32/0.72  % (19228)------------------------------
% 1.32/0.72  % (19228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.72  % (19233)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.32/0.72  % (19243)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.32/0.72  % (19228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.72  % (19228)Termination reason: Unknown
% 1.32/0.72  % (19228)Termination phase: Saturation
% 1.32/0.72  
% 1.32/0.72  % (19228)Memory used [KB]: 5628
% 1.32/0.72  % (19228)Time elapsed: 0.126 s
% 1.32/0.72  % (19228)Instructions burned: 7 (million)
% 1.32/0.72  % (19228)------------------------------
% 1.32/0.72  % (19228)------------------------------
% 1.32/0.72  % (19245)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.32/0.72  % (19230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.72  % (19230)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.72  
% 1.32/0.72  % (19230)Memory used [KB]: 5500
% 1.32/0.72  % (19230)Time elapsed: 0.142 s
% 1.32/0.72  % (19230)Instructions burned: 2 (million)
% 1.32/0.72  % (19230)------------------------------
% 1.32/0.72  % (19230)------------------------------
% 1.32/0.73  % (19248)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/111Mi)
% 1.32/0.73  % (19249)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/248Mi)
% 1.32/0.74  % (19229)Instruction limit reached!
% 1.32/0.74  % (19229)------------------------------
% 1.32/0.74  % (19229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.74  % (19229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.74  % (19229)Termination reason: Unknown
% 1.32/0.74  % (19229)Termination phase: Saturation
% 1.32/0.74  
% 1.32/0.74  % (19229)Memory used [KB]: 6268
% 1.32/0.74  % (19229)Time elapsed: 0.172 s
% 1.32/0.74  % (19229)Instructions burned: 48 (million)
% 1.32/0.74  % (19229)------------------------------
% 1.32/0.74  % (19229)------------------------------
% 1.32/0.75  % (19227)Instruction limit reached!
% 1.32/0.75  % (19227)------------------------------
% 1.32/0.75  % (19227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.76  % (19235)Instruction limit reached!
% 1.32/0.76  % (19235)------------------------------
% 1.32/0.76  % (19235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.77  % (19227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.77  % (19227)Termination reason: Unknown
% 2.04/0.77  % (19227)Termination phase: Saturation
% 2.04/0.77  
% 2.04/0.77  % (19227)Memory used [KB]: 6268
% 2.04/0.77  % (19227)Time elapsed: 0.163 s
% 2.04/0.77  % (19227)Instructions burned: 37 (million)
% 2.04/0.77  % (19227)------------------------------
% 2.04/0.77  % (19227)------------------------------
% 2.04/0.77  % (19235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.77  % (19235)Termination reason: Unknown
% 2.04/0.77  % (19235)Termination phase: Saturation
% 2.04/0.77  
% 2.04/0.77  % (19235)Memory used [KB]: 6268
% 2.04/0.77  % (19235)Time elapsed: 0.186 s
% 2.04/0.77  % (19235)Instructions burned: 39 (million)
% 2.04/0.77  % (19235)------------------------------
% 2.04/0.77  % (19235)------------------------------
% 2.04/0.78  % (19233)Instruction limit reached!
% 2.04/0.78  % (19233)------------------------------
% 2.04/0.78  % (19233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.80  % (19241)Instruction limit reached!
% 2.19/0.80  % (19241)------------------------------
% 2.19/0.80  % (19241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.80  % (19233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.80  % (19233)Termination reason: Unknown
% 2.19/0.80  % (19233)Termination phase: Saturation
% 2.19/0.80  
% 2.19/0.80  % (19233)Memory used [KB]: 10746
% 2.19/0.80  % (19233)Time elapsed: 0.193 s
% 2.19/0.80  % (19233)Instructions burned: 37 (million)
% 2.19/0.80  % (19233)------------------------------
% 2.19/0.80  % (19233)------------------------------
% 2.19/0.80  % (19254)Instruction limit reached!
% 2.19/0.80  % (19254)------------------------------
% 2.19/0.80  % (19254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.80  % (19241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.80  % (19241)Termination reason: Unknown
% 2.19/0.80  % (19241)Termination phase: Saturation
% 2.19/0.80  
% 2.19/0.80  % (19241)Memory used [KB]: 6268
% 2.19/0.80  % (19241)Time elapsed: 0.204 s
% 2.19/0.80  % (19241)Instructions burned: 49 (million)
% 2.19/0.80  % (19241)------------------------------
% 2.19/0.80  % (19241)------------------------------
% 2.19/0.81  % (19254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.81  % (19254)Termination reason: Unknown
% 2.19/0.81  % (19254)Termination phase: Saturation
% 2.19/0.81  
% 2.19/0.81  % (19254)Memory used [KB]: 6268
% 2.19/0.81  % (19254)Time elapsed: 0.215 s
% 2.19/0.81  % (19254)Instructions burned: 48 (million)
% 2.19/0.81  % (19254)------------------------------
% 2.19/0.81  % (19254)------------------------------
% 2.19/0.82  % (19257)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/292Mi)
% 2.19/0.82  % (19256)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/463Mi)
% 2.38/0.85  % (19255)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/257Mi)
% 2.38/0.85  % (19244)Instruction limit reached!
% 2.38/0.85  % (19244)------------------------------
% 2.38/0.85  % (19244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.85  % (19244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.85  % (19244)Termination reason: Unknown
% 2.38/0.85  % (19244)Termination phase: Saturation
% 2.38/0.85  
% 2.38/0.85  % (19244)Memory used [KB]: 6268
% 2.38/0.85  % (19244)Time elapsed: 0.289 s
% 2.38/0.85  % (19244)Instructions burned: 103 (million)
% 2.38/0.85  % (19244)------------------------------
% 2.38/0.85  % (19244)------------------------------
% 2.38/0.85  % (19258)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/439Mi)
% 2.38/0.86  % (19259)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/402Mi)
% 2.38/0.86  % (19262)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/248Mi)
% 2.38/0.86  % (19261)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/312Mi)
% 2.38/0.86  % (19260)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/496Mi)
% 2.38/0.87  % (19264)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1598Mi)
% 2.38/0.87  % (19263)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/177Mi)
% 2.38/0.89  % (19248)Instruction limit reached!
% 2.38/0.89  % (19248)------------------------------
% 2.38/0.89  % (19248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.89  % (19248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.89  % (19248)Termination reason: Unknown
% 2.38/0.89  % (19248)Termination phase: Saturation
% 2.38/0.89  
% 2.38/0.89  % (19248)Memory used [KB]: 7164
% 2.38/0.89  % (19248)Time elapsed: 0.316 s
% 2.38/0.89  % (19248)Instructions burned: 112 (million)
% 2.38/0.89  % (19248)------------------------------
% 2.38/0.89  % (19248)------------------------------
% 2.38/0.90  % (19266)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1242Mi)
% 2.68/0.91  % (19265)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/381Mi)
% 2.68/0.91  % (19265)Refutation not found, incomplete strategy% (19265)------------------------------
% 2.68/0.91  % (19265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.91  % (19265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.91  % (19265)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.91  
% 2.68/0.91  % (19265)Memory used [KB]: 5373
% 2.68/0.91  % (19265)Time elapsed: 0.116 s
% 2.68/0.91  % (19265)Instructions burned: 2 (million)
% 2.68/0.91  % (19265)------------------------------
% 2.68/0.91  % (19265)------------------------------
% 2.68/0.94  % (19267)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/629Mi)
% 2.68/0.96  % (19268)lrs+10_2:1_bd=preordered:bsr=unit_only:drc=off:fd=preordered:fde=none:lwlo=on:sp=reverse_frequency:ss=axioms:st=3.0:to=lpo:i=1575:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1575Mi)
% 2.68/0.97  % (19269)lrs+10_1:8_anc=all_dependent:atotf=0.2:drc=off:fde=unused:nicw=on:nwc=3.0:sas=z3:slsq=on:slsqc=1:slsqr=3,2:sp=reverse_frequency:i=4955:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4955Mi)
% 2.94/0.99  % (19270)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=1429:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1429Mi)
% 2.94/1.01  % (19250)Instruction limit reached!
% 2.94/1.01  % (19250)------------------------------
% 2.94/1.01  % (19250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/1.01  % (19250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/1.01  % (19250)Termination reason: Unknown
% 2.94/1.01  % (19250)Termination phase: Saturation
% 2.94/1.01  
% 2.94/1.01  % (19250)Memory used [KB]: 6524
% 2.94/1.01  % (19250)Time elapsed: 0.414 s
% 2.94/1.01  % (19250)Instructions burned: 178 (million)
% 2.94/1.01  % (19250)------------------------------
% 2.94/1.01  % (19250)------------------------------
% 2.94/1.03  % (19271)lrs+1010_1:173_acc=on:aer=off:alpa=true:anc=none:avsq=on:avsqr=497233,912204:awrs=decay:awrsf=4:bce=on:bs=on:bsd=on:cond=on:drc=off:erd=off:flr=on:gsp=on:nicw=on:nm=16:nwc=3.0:sd=2:sfv=off:skr=on:sp=reverse_arity:ss=axioms:st=2.0:updr=off:urr=ec_only:i=2989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2989Mi)
% 2.94/1.04  % (19272)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=2096:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2096Mi)
% 3.31/1.07  % (19240)Instruction limit reached!
% 3.31/1.07  % (19240)------------------------------
% 3.31/1.07  % (19240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/1.07  % (19240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/1.07  % (19240)Termination reason: Unknown
% 3.31/1.07  % (19240)Termination phase: Saturation
% 3.31/1.07  
% 3.31/1.07  % (19240)Memory used [KB]: 8443
% 3.31/1.07  % (19240)Time elapsed: 0.468 s
% 3.31/1.07  % (19240)Instructions burned: 214 (million)
% 3.31/1.07  % (19240)------------------------------
% 3.31/1.07  % (19240)------------------------------
% 3.31/1.07  % (19242)Instruction limit reached!
% 3.31/1.07  % (19242)------------------------------
% 3.31/1.07  % (19242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/1.07  % (19242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/1.07  % (19242)Termination reason: Unknown
% 3.31/1.07  % (19242)Termination phase: Saturation
% 3.31/1.07  
% 3.31/1.07  % (19242)Memory used [KB]: 6780
% 3.31/1.07  % (19242)Time elapsed: 0.485 s
% 3.31/1.07  % (19242)Instructions burned: 258 (million)
% 3.31/1.07  % (19242)------------------------------
% 3.31/1.07  % (19242)------------------------------
% 3.44/1.11  % (19249)Instruction limit reached!
% 3.44/1.11  % (19249)------------------------------
% 3.44/1.11  % (19249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.44/1.11  % (19249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.44/1.11  % (19249)Termination reason: Unknown
% 3.44/1.11  % (19249)Termination phase: Saturation
% 3.44/1.11  
% 3.44/1.11  % (19249)Memory used [KB]: 3965
% 3.44/1.11  % (19249)Time elapsed: 0.533 s
% 3.44/1.11  % (19249)Instructions burned: 249 (million)
% 3.44/1.11  % (19249)------------------------------
% 3.44/1.11  % (19249)------------------------------
% 3.44/1.11  % (19251)Instruction limit reached!
% 3.44/1.11  % (19251)------------------------------
% 3.44/1.11  % (19251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.44/1.11  % (19251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.44/1.11  % (19251)Termination reason: Unknown
% 3.44/1.11  % (19251)Termination phase: Saturation
% 3.44/1.11  
% 3.44/1.11  % (19251)Memory used [KB]: 5756
% 3.44/1.11  % (19251)Time elapsed: 0.538 s
% 3.44/1.11  % (19251)Instructions burned: 269 (million)
% 3.44/1.11  % (19251)------------------------------
% 3.44/1.11  % (19251)------------------------------
% 5.04/1.15  % (19237)Instruction limit reached!
% 5.04/1.15  % (19237)------------------------------
% 5.04/1.15  % (19237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.15  % (19237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.15  % (19237)Termination reason: Unknown
% 5.04/1.15  % (19237)Termination phase: Saturation
% 5.04/1.15  
% 5.04/1.15  % (19237)Memory used [KB]: 10362
% 5.04/1.15  % (19237)Time elapsed: 0.525 s
% 5.04/1.15  % (19237)Instructions burned: 292 (million)
% 5.04/1.15  % (19237)------------------------------
% 5.04/1.15  % (19237)------------------------------
% 5.04/1.15  % (19273)lrs+10_1:16_drc=off:fde=none:spb=goal_then_units:to=lpo:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1345Mi)
% 5.04/1.15  % (19238)Instruction limit reached!
% 5.04/1.15  % (19238)------------------------------
% 5.04/1.15  % (19238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.15  % (19238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.15  % (19238)Termination reason: Unknown
% 5.04/1.15  % (19238)Termination phase: Saturation
% 5.04/1.15  
% 5.04/1.15  % (19238)Memory used [KB]: 10618
% 5.04/1.15  % (19238)Time elapsed: 0.543 s
% 5.04/1.15  % (19238)Instructions burned: 353 (million)
% 5.04/1.15  % (19238)------------------------------
% 5.04/1.15  % (19238)------------------------------
% 5.04/1.17  % (19263)Instruction limit reached!
% 5.04/1.17  % (19263)------------------------------
% 5.04/1.17  % (19263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.17  % (19263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.17  % (19263)Termination reason: Unknown
% 5.04/1.17  % (19263)Termination phase: Saturation
% 5.04/1.17  
% 5.04/1.17  % (19263)Memory used [KB]: 6652
% 5.04/1.17  % (19263)Time elapsed: 0.406 s
% 5.04/1.17  % (19263)Instructions burned: 178 (million)
% 5.04/1.17  % (19263)------------------------------
% 5.04/1.17  % (19263)------------------------------
% 5.04/1.19  % (19239)Instruction limit reached!
% 5.04/1.19  % (19239)------------------------------
% 5.04/1.19  % (19239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.19  % (19239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.19  % (19239)Termination reason: Unknown
% 5.04/1.19  % (19239)Termination phase: Saturation
% 5.04/1.19  
% 5.04/1.19  % (19239)Memory used [KB]: 11129
% 5.04/1.19  % (19239)Time elapsed: 0.563 s
% 5.04/1.19  % (19239)Instructions burned: 323 (million)
% 5.04/1.19  % (19239)------------------------------
% 5.04/1.19  % (19239)------------------------------
% 5.04/1.20  % (19274)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/290Mi)
% 5.57/1.22  % (19275)dis+2_1:1_av=off:flr=on:plsq=on:plsqc=1:plsqr=32,1:sp=reverse_frequency:to=lpo:urr=ec_only:uwa=all:i=4705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4705Mi)
% 5.57/1.22  % (19262)Instruction limit reached!
% 5.57/1.22  % (19262)------------------------------
% 5.57/1.22  % (19262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.57/1.22  % (19262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.57/1.22  % (19262)Termination reason: Unknown
% 5.57/1.22  % (19262)Termination phase: Saturation
% 5.57/1.22  
% 5.57/1.22  % (19262)Memory used [KB]: 3965
% 5.57/1.22  % (19262)Time elapsed: 0.467 s
% 5.57/1.22  % (19262)Instructions burned: 248 (million)
% 5.57/1.22  % (19262)------------------------------
% 5.57/1.22  % (19262)------------------------------
% 5.57/1.23  % (19255)Instruction limit reached!
% 5.57/1.23  % (19255)------------------------------
% 5.57/1.23  % (19255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.57/1.23  % (19255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.57/1.23  % (19255)Termination reason: Unknown
% 5.57/1.23  % (19255)Termination phase: Saturation
% 5.57/1.23  
% 5.57/1.23  % (19255)Memory used [KB]: 6652
% 5.57/1.23  % (19255)Time elapsed: 0.477 s
% 5.57/1.23  % (19255)Instructions burned: 259 (million)
% 5.57/1.23  % (19255)------------------------------
% 5.57/1.23  % (19255)------------------------------
% 5.57/1.26  % (19277)dis+1011_1:32_tgt=ground:i=4929:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4929Mi)
% 5.57/1.26  % (19276)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2797:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2797Mi)
% 5.97/1.27  % (19279)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4917Mi)
% 5.97/1.29  % (19278)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=1841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1841Mi)
% 5.97/1.30  % (19280)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/248Mi)
% 5.97/1.31  % (19246)Instruction limit reached!
% 5.97/1.31  % (19246)------------------------------
% 5.97/1.31  % (19246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.31  % (19246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.31  % (19246)Termination reason: Unknown
% 5.97/1.31  % (19246)Termination phase: Saturation
% 5.97/1.31  
% 5.97/1.31  % (19246)Memory used [KB]: 14200
% 5.97/1.31  % (19246)Time elapsed: 0.704 s
% 5.97/1.31  % (19246)Instructions burned: 481 (million)
% 5.97/1.31  % (19246)------------------------------
% 5.97/1.31  % (19246)------------------------------
% 5.97/1.32  % (19257)Instruction limit reached!
% 5.97/1.32  % (19257)------------------------------
% 5.97/1.32  % (19257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.32  % (19257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.32  % (19257)Termination reason: Unknown
% 5.97/1.32  % (19257)Termination phase: Saturation
% 5.97/1.32  
% 5.97/1.32  % (19257)Memory used [KB]: 7419
% 5.97/1.32  % (19257)Time elapsed: 0.531 s
% 5.97/1.32  % (19257)Instructions burned: 294 (million)
% 5.97/1.32  % (19257)------------------------------
% 5.97/1.32  % (19257)------------------------------
% 5.97/1.32  % (19281)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1314Mi)
% 5.97/1.33  % (19261)Instruction limit reached!
% 5.97/1.33  % (19261)------------------------------
% 5.97/1.33  % (19261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.33  % (19261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.33  % (19261)Termination reason: Unknown
% 5.97/1.33  % (19261)Termination phase: Saturation
% 5.97/1.33  
% 5.97/1.33  % (19261)Memory used [KB]: 7036
% 5.97/1.33  % (19261)Time elapsed: 0.564 s
% 5.97/1.33  % (19261)Instructions burned: 314 (million)
% 5.97/1.33  % (19261)------------------------------
% 5.97/1.33  % (19261)------------------------------
% 5.97/1.33  % (19245)Instruction limit reached!
% 5.97/1.33  % (19245)------------------------------
% 5.97/1.33  % (19245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.33  % (19245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.33  % (19245)Termination reason: Unknown
% 5.97/1.33  % (19245)Termination phase: Saturation
% 5.97/1.33  
% 5.97/1.33  % (19245)Memory used [KB]: 7931
% 5.97/1.33  % (19245)Time elapsed: 0.735 s
% 5.97/1.33  % (19245)Instructions burned: 388 (million)
% 5.97/1.33  % (19245)------------------------------
% 5.97/1.33  % (19245)------------------------------
% 6.44/1.36  % (19282)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=620:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/620Mi)
% 6.44/1.37  % (19283)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/381Mi)
% 6.60/1.38  % (19283)Refutation not found, incomplete strategy% (19283)------------------------------
% 6.60/1.38  % (19283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.60/1.38  % (19283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.60/1.38  % (19283)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.38  
% 6.60/1.38  % (19283)Memory used [KB]: 5373
% 6.60/1.38  % (19283)Time elapsed: 0.103 s
% 6.60/1.38  % (19283)Instructions burned: 1 (million)
% 6.60/1.38  % (19283)------------------------------
% 6.60/1.38  % (19283)------------------------------
% 6.87/1.43  % (19243)Instruction limit reached!
% 6.87/1.43  % (19243)------------------------------
% 6.87/1.43  % (19243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.87/1.43  % (19284)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1242Mi)
% 6.96/1.45  % (19252)Instruction limit reached!
% 6.96/1.45  % (19252)------------------------------
% 6.96/1.45  % (19252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.45  % (19252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.45  % (19252)Termination reason: Unknown
% 6.96/1.45  % (19252)Termination phase: Saturation
% 6.96/1.45  
% 6.96/1.45  % (19252)Memory used [KB]: 8699
% 6.96/1.45  % (19252)Time elapsed: 0.892 s
% 6.96/1.45  % (19252)Instructions burned: 496 (million)
% 6.96/1.45  % (19252)------------------------------
% 6.96/1.45  % (19252)------------------------------
% 6.96/1.45  % (19243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.45  % (19243)Termination reason: Unknown
% 6.96/1.45  % (19243)Termination phase: Saturation
% 6.96/1.45  
% 6.96/1.45  % (19243)Memory used [KB]: 14456
% 6.96/1.45  % (19243)Time elapsed: 0.860 s
% 6.96/1.45  % (19243)Instructions burned: 439 (million)
% 6.96/1.45  % (19243)------------------------------
% 6.96/1.45  % (19243)------------------------------
% 6.96/1.47  % (19286)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=4963:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4963Mi)
% 6.96/1.48  % (19287)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=3884:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3884Mi)
% 6.96/1.49  % (19285)lrs+10_8:1_bd=preordered:drc=off:fd=preordered:sp=reverse_frequency:i=4700:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4700Mi)
% 7.32/1.54  % (19259)Instruction limit reached!
% 7.32/1.54  % (19259)------------------------------
% 7.32/1.54  % (19259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.54  % (19259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.54  % (19259)Termination reason: Unknown
% 7.32/1.54  % (19259)Termination phase: Saturation
% 7.32/1.54  
% 7.32/1.54  % (19259)Memory used [KB]: 12153
% 7.32/1.54  % (19259)Time elapsed: 0.775 s
% 7.32/1.54  % (19259)Instructions burned: 403 (million)
% 7.32/1.54  % (19259)------------------------------
% 7.32/1.54  % (19259)------------------------------
% 7.57/1.57  % (19289)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/875Mi)
% 7.57/1.58  % (19258)Instruction limit reached!
% 7.57/1.58  % (19258)------------------------------
% 7.57/1.58  % (19258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.57/1.58  % (19258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.57/1.58  % (19258)Termination reason: Unknown
% 7.57/1.58  % (19258)Termination phase: Saturation
% 7.57/1.58  
% 7.57/1.58  % (19258)Memory used [KB]: 14456
% 7.57/1.58  % (19258)Time elapsed: 0.842 s
% 7.57/1.58  % (19258)Instructions burned: 440 (million)
% 7.57/1.58  % (19258)------------------------------
% 7.57/1.58  % (19258)------------------------------
% 7.57/1.61  % (19304)lrs+2_1:128_awrs=decay:awrsf=20:drc=off:fsd=on:lwlo=on:nm=2:nwc=1.94:spb=units:thsq=on:thsqc=32:thsqd=32:thsqr=4,7:i=2970:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2970Mi)
% 7.57/1.63  % (19256)Instruction limit reached!
% 7.57/1.63  % (19256)------------------------------
% 7.57/1.63  % (19256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.57/1.63  % (19256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.57/1.63  % (19256)Termination reason: Unknown
% 7.57/1.63  % (19256)Termination phase: Saturation
% 7.57/1.63  
% 7.57/1.63  % (19256)Memory used [KB]: 14583
% 7.57/1.63  % (19256)Time elapsed: 0.823 s
% 7.57/1.63  % (19256)Instructions burned: 463 (million)
% 7.57/1.63  % (19256)------------------------------
% 7.57/1.63  % (19256)------------------------------
% 7.57/1.64  % (19306)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/290Mi)
% 9.38/1.70  % (19260)Instruction limit reached!
% 9.38/1.70  % (19260)------------------------------
% 9.38/1.70  % (19260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.38/1.70  % (19260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.38/1.70  % (19260)Termination reason: Unknown
% 9.38/1.70  % (19260)Termination phase: Saturation
% 9.38/1.70  
% 9.38/1.70  % (19260)Memory used [KB]: 5245
% 9.38/1.70  % (19260)Time elapsed: 0.942 s
% 9.38/1.70  % (19260)Instructions burned: 497 (million)
% 9.38/1.70  % (19260)------------------------------
% 9.38/1.70  % (19260)------------------------------
% 9.76/1.76  % (19274)Instruction limit reached!
% 9.76/1.76  % (19274)------------------------------
% 9.76/1.76  % (19274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.76/1.76  % (19274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.76/1.76  % (19274)Termination reason: Unknown
% 9.76/1.76  % (19274)Termination phase: Saturation
% 9.76/1.76  
% 9.76/1.76  % (19274)Memory used [KB]: 7291
% 9.76/1.76  % (19274)Time elapsed: 0.662 s
% 9.76/1.76  % (19274)Instructions burned: 291 (million)
% 9.76/1.76  % (19274)------------------------------
% 9.76/1.76  % (19274)------------------------------
% 9.92/1.77  % (19307)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=3607:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/3607Mi)
% 9.92/1.78  % (19280)Instruction limit reached!
% 9.92/1.78  % (19280)------------------------------
% 9.92/1.78  % (19280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.92/1.78  % (19280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.92/1.78  % (19280)Termination reason: Unknown
% 9.92/1.78  % (19280)Termination phase: Saturation
% 9.92/1.78  
% 9.92/1.78  % (19280)Memory used [KB]: 3965
% 9.92/1.78  % (19280)Time elapsed: 0.585 s
% 9.92/1.78  % (19280)Instructions burned: 249 (million)
% 9.92/1.78  % (19280)------------------------------
% 9.92/1.78  % (19280)------------------------------
% 9.92/1.81  % (19308)dis+10_1:1_drc=off:fd=preordered:tgt=full:to=lpo:i=2934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/2934Mi)
% 10.39/1.84  % (19309)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4940Mi)
% 10.67/1.88  % (19310)lrs+1002_1:1024_drc=off:ins=1:nwc=5.0:slsq=on:slsqc=1:slsql=off:slsqr=1,8:urr=on:uwa=all:i=4546:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/4546Mi)
% 11.57/1.99  % (19311)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1314Mi)
% 11.57/2.00  % (19267)Instruction limit reached!
% 11.57/2.00  % (19267)------------------------------
% 11.57/2.00  % (19267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.57/2.00  % (19267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.57/2.00  % (19267)Termination reason: Unknown
% 11.57/2.00  % (19267)Termination phase: Saturation
% 11.57/2.00  
% 11.57/2.00  % (19267)Memory used [KB]: 7547
% 11.57/2.00  % (19267)Time elapsed: 1.161 s
% 11.57/2.00  % (19267)Instructions burned: 630 (million)
% 11.57/2.00  % (19267)------------------------------
% 11.57/2.00  % (19267)------------------------------
% 11.57/2.00  % (19312)lrs+1011_8:1_aac=none:anc=all_dependent:lwlo=on:nm=2:nwc=10.0:sac=on:sos=all:i=3317:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3317Mi)
% 11.57/2.00  % (19312)Refutation not found, incomplete strategy% (19312)------------------------------
% 11.57/2.00  % (19312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.57/2.00  % (19312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.57/2.00  % (19312)Termination reason: Refutation not found, incomplete strategy
% 11.57/2.00  
% 11.57/2.00  % (19312)Memory used [KB]: 5500
% 11.57/2.00  % (19312)Time elapsed: 0.170 s
% 11.57/2.00  % (19312)Instructions burned: 1 (million)
% 11.57/2.00  % (19312)------------------------------
% 11.57/2.00  % (19312)------------------------------
% 12.84/2.18  % (19313)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/381Mi)
% 12.84/2.18  % (19313)Refutation not found, incomplete strategy% (19313)------------------------------
% 12.84/2.18  % (19313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.84/2.18  % (19313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.84/2.18  % (19313)Termination reason: Refutation not found, incomplete strategy
% 12.84/2.18  
% 12.84/2.18  % (19313)Memory used [KB]: 5500
% 12.84/2.18  % (19313)Time elapsed: 0.133 s
% 12.84/2.18  % (19313)Instructions burned: 2 (million)
% 12.84/2.18  % (19313)------------------------------
% 12.84/2.18  % (19313)------------------------------
% 12.84/2.22  % (19306)Instruction limit reached!
% 12.84/2.22  % (19306)------------------------------
% 12.84/2.22  % (19306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.84/2.22  % (19306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.84/2.22  % (19306)Termination reason: Unknown
% 12.84/2.22  % (19306)Termination phase: Saturation
% 12.84/2.22  
% 12.84/2.22  % (19306)Memory used [KB]: 7419
% 12.84/2.22  % (19306)Time elapsed: 0.718 s
% 12.84/2.22  % (19306)Instructions burned: 291 (million)
% 12.84/2.22  % (19306)------------------------------
% 12.84/2.22  % (19306)------------------------------
% 13.80/2.25  % (19314)dis+1011_1:227_abs=on:amm=off:avsq=on:avsqc=1:avsqr=97,32:awrs=converge:awrsf=256:bsr=unit_only:drc=off:fd=preordered:plsq=on:plsqc=1:plsql=on:plsqr=27942579,963352:sas=z3:slsq=on:slsqc=1:slsql=off:slsqr=307,512:sp=occurrence:ss=axioms:st=3.0:i=5027:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/5027Mi)
% 14.70/2.37  % (19315)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=1293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1293Mi)
% 15.03/2.41  % (19316)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=7928:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/7928Mi)
% 16.49/2.62  % (19282)Instruction limit reached!
% 16.49/2.62  % (19282)------------------------------
% 16.49/2.62  % (19282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.62  % (19282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.62  % (19282)Termination reason: Unknown
% 16.49/2.62  % (19282)Termination phase: Saturation
% 16.49/2.62  
% 16.49/2.62  % (19282)Memory used [KB]: 11001
% 16.49/2.62  % (19282)Time elapsed: 1.355 s
% 16.49/2.62  % (19282)Instructions burned: 622 (million)
% 16.49/2.62  % (19282)------------------------------
% 16.49/2.62  % (19282)------------------------------
% 17.80/2.80  % (19323)ott+10_1:1_av=off:bd=preordered:bsd=on:drc=off:etr=on:fd=preordered:fsr=off:ins=1:lma=on:slsq=on:slsqc=1:slsql=off:slsqr=9,8:sp=frequency:spb=goal:urr=ec_only:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/3180Mi)
% 19.01/2.93  % (19284)Instruction limit reached!
% 19.01/2.93  % (19284)------------------------------
% 19.01/2.93  % (19284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.01/2.93  % (19284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.01/2.93  % (19284)Termination reason: Unknown
% 19.01/2.93  % (19284)Termination phase: Saturation
% 19.01/2.93  
% 19.01/2.93  % (19284)Memory used [KB]: 10746
% 19.01/2.93  % (19284)Time elapsed: 1.511 s
% 19.01/2.93  % (19284)Instructions burned: 1242 (million)
% 19.01/2.93  % (19284)------------------------------
% 19.01/2.93  % (19284)------------------------------
% 20.13/3.06  % (19324)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=20527:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/20527Mi)
% 20.86/3.19  % (19266)Instruction limit reached!
% 20.86/3.19  % (19266)------------------------------
% 20.86/3.19  % (19266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.86/3.19  % (19266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.86/3.19  % (19266)Termination reason: Unknown
% 20.86/3.19  % (19266)Termination phase: Saturation
% 20.86/3.19  
% 20.86/3.19  % (19266)Memory used [KB]: 10746
% 20.86/3.19  % (19266)Time elapsed: 2.381 s
% 20.86/3.19  % (19266)Instructions burned: 1242 (million)
% 20.86/3.19  % (19266)------------------------------
% 20.86/3.19  % (19266)------------------------------
% 21.31/3.25  % (19289)Instruction limit reached!
% 21.31/3.25  % (19289)------------------------------
% 21.31/3.25  % (19289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.70/3.25  % (19289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.70/3.25  % (19289)Termination reason: Unknown
% 21.70/3.25  % (19289)Termination phase: Saturation
% 21.70/3.25  
% 21.70/3.25  % (19289)Memory used [KB]: 19317
% 21.70/3.25  % (19289)Time elapsed: 1.789 s
% 21.70/3.25  % (19289)Instructions burned: 875 (million)
% 21.70/3.25  % (19289)------------------------------
% 21.70/3.25  % (19289)------------------------------
% 21.70/3.29  % (19264)Instruction limit reached!
% 21.70/3.29  % (19264)------------------------------
% 21.70/3.29  % (19264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.70/3.30  % (19264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.70/3.30  % (19264)Termination reason: Unknown
% 21.70/3.30  % (19264)Termination phase: Saturation
% 21.70/3.30  
% 21.70/3.30  % (19264)Memory used [KB]: 14583
% 21.70/3.30  % (19264)Time elapsed: 2.507 s
% 21.70/3.30  % (19264)Instructions burned: 1598 (million)
% 21.70/3.30  % (19264)------------------------------
% 21.70/3.30  % (19264)------------------------------
% 22.36/3.38  % (19327)dis+0_46177:627804_av=off:awrs=decay:awrsf=350:bs=unit_only:s2a=on:s2at=3.2:skr=on:slsq=on:slsqc=0:slsql=off:slsqr=10,103:sp=reverse_arity:urr=ec_only:i=9439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/9439Mi)
% 22.98/3.41  % (19330)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/875Mi)
% 23.42/3.49  % (19329)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=5084:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/5084Mi)
% 26.19/3.83  % (19273)Instruction limit reached!
% 26.19/3.83  % (19273)------------------------------
% 26.19/3.83  % (19273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.19/3.83  % (19273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.19/3.83  % (19273)Termination reason: Unknown
% 26.19/3.83  % (19273)Termination phase: Saturation
% 26.19/3.83  
% 26.19/3.83  % (19273)Memory used [KB]: 10746
% 26.19/3.83  % (19273)Time elapsed: 2.788 s
% 26.19/3.83  % (19273)Instructions burned: 1346 (million)
% 26.19/3.83  % (19273)------------------------------
% 26.19/3.83  % (19273)------------------------------
% 26.52/3.86  % (19270)Instruction limit reached!
% 26.52/3.86  % (19270)------------------------------
% 26.52/3.86  % (19270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.52/3.86  % (19270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.52/3.86  % (19270)Termination reason: Unknown
% 26.52/3.86  % (19270)Termination phase: Saturation
% 26.52/3.86  
% 26.52/3.86  % (19270)Memory used [KB]: 28528
% 26.52/3.86  % (19270)Time elapsed: 2.896 s
% 26.52/3.86  % (19270)Instructions burned: 1430 (million)
% 26.52/3.86  % (19270)------------------------------
% 26.52/3.86  % (19270)------------------------------
% 26.52/3.86  % (19268)Instruction limit reached!
% 26.52/3.86  % (19268)------------------------------
% 26.52/3.86  % (19268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.52/3.86  % (19268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.52/3.86  % (19268)Termination reason: Unknown
% 26.52/3.86  % (19268)Termination phase: Saturation
% 26.52/3.86  
% 26.52/3.86  % (19268)Memory used [KB]: 12153
% 26.52/3.86  % (19268)Time elapsed: 3.020 s
% 26.52/3.86  % (19268)Instructions burned: 1575 (million)
% 26.52/3.86  % (19268)------------------------------
% 26.52/3.86  % (19268)------------------------------
% 26.52/3.89  % (19281)Instruction limit reached!
% 26.52/3.89  % (19281)------------------------------
% 26.52/3.89  % (19281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.52/3.89  % (19281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.52/3.89  % (19281)Termination reason: Unknown
% 26.52/3.89  % (19281)Termination phase: Saturation
% 26.52/3.89  
% 26.52/3.89  % (19281)Memory used [KB]: 11257
% 26.52/3.89  % (19281)Time elapsed: 2.651 s
% 26.52/3.89  % (19281)Instructions burned: 1315 (million)
% 26.52/3.89  % (19281)------------------------------
% 26.52/3.89  % (19281)------------------------------
% 27.35/3.96  % (19331)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=6250:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/6250Mi)
% 27.80/4.06  % (19332)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=3068:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/3068Mi)
% 27.80/4.06  % (19333)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/290Mi)
% 28.27/4.06  % (19334)lrs+10_3:1_bd=off:fde=none:lwlo=on:i=15258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/15258Mi)
% 31.41/4.49  % (19330)Instruction limit reached!
% 31.41/4.49  % (19330)------------------------------
% 31.41/4.49  % (19330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.41/4.49  % (19330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.41/4.49  % (19330)Termination reason: Unknown
% 31.41/4.49  % (19330)Termination phase: Saturation
% 31.41/4.49  
% 31.41/4.49  % (19330)Memory used [KB]: 18933
% 31.41/4.49  % (19330)Time elapsed: 1.096 s
% 31.41/4.49  % (19330)Instructions burned: 875 (million)
% 31.41/4.49  % (19330)------------------------------
% 31.41/4.49  % (19330)------------------------------
% 31.65/4.50  % (19315)Instruction limit reached!
% 31.65/4.50  % (19315)------------------------------
% 31.65/4.50  % (19315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.65/4.50  % (19315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.65/4.50  % (19315)Termination reason: Unknown
% 31.65/4.50  % (19315)Termination phase: Saturation
% 31.65/4.50  
% 31.65/4.50  % (19315)Memory used [KB]: 12281
% 31.65/4.50  % (19315)Time elapsed: 2.277 s
% 31.65/4.50  % (19315)Instructions burned: 1293 (million)
% 31.65/4.50  % (19315)------------------------------
% 31.65/4.50  % (19315)------------------------------
% 32.31/4.62  % (19339)lrs+10_1:4_awrs=converge:drc=off:lwlo=on:sp=reverse_frequency:urr=ec_only:i=36973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/36973Mi)
% 32.31/4.63  % (19340)lrs+10_1:6_bd=off:drc=off:tgt=full:i=26171:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/26171Mi)
% 32.98/4.70  % (19333)Instruction limit reached!
% 32.98/4.70  % (19333)------------------------------
% 32.98/4.70  % (19333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.98/4.70  % (19333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.98/4.70  % (19333)Termination reason: Unknown
% 32.98/4.70  % (19333)Termination phase: Saturation
% 32.98/4.70  
% 32.98/4.70  % (19333)Memory used [KB]: 7419
% 32.98/4.70  % (19333)Time elapsed: 0.768 s
% 32.98/4.70  % (19333)Instructions burned: 291 (million)
% 32.98/4.70  % (19333)------------------------------
% 32.98/4.70  % (19333)------------------------------
% 32.98/4.72  % (19311)Instruction limit reached!
% 32.98/4.72  % (19311)------------------------------
% 32.98/4.72  % (19311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.98/4.72  % (19311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.98/4.72  % (19311)Termination reason: Unknown
% 32.98/4.72  % (19311)Termination phase: Saturation
% 32.98/4.72  
% 32.98/4.72  % (19311)Memory used [KB]: 9722
% 32.98/4.72  % (19311)Time elapsed: 2.889 s
% 32.98/4.72  % (19311)Instructions burned: 1315 (million)
% 32.98/4.72  % (19311)------------------------------
% 32.98/4.72  % (19311)------------------------------
% 33.72/4.78  % (19278)Instruction limit reached!
% 33.72/4.78  % (19278)------------------------------
% 33.72/4.78  % (19278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.72/4.78  % (19278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.72/4.78  % (19278)Termination reason: Unknown
% 33.72/4.78  % (19278)Termination phase: Saturation
% 33.72/4.78  
% 33.72/4.78  % (19278)Memory used [KB]: 15223
% 33.72/4.78  % (19278)Time elapsed: 3.561 s
% 33.72/4.78  % (19278)Instructions burned: 1841 (million)
% 33.72/4.78  % (19278)------------------------------
% 33.72/4.78  % (19278)------------------------------
% 34.65/4.92  % (19343)lrs+10_1:1024_drc=off:sp=unary_frequency:tgt=full:to=lpo:i=34839:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/34839Mi)
% 35.23/4.98  % (19344)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=29065:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/29065Mi)
% 35.67/5.02  % (19345)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=25210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/25210Mi)
% 39.30/5.46  % (19308)Instruction limit reached!
% 39.30/5.46  % (19308)------------------------------
% 39.30/5.46  % (19308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.30/5.46  % (19308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.30/5.46  % (19308)Termination reason: Unknown
% 39.30/5.46  % (19308)Termination phase: Saturation
% 39.30/5.46  
% 39.30/5.46  % (19308)Memory used [KB]: 47078
% 39.30/5.46  % (19308)Time elapsed: 3.816 s
% 39.30/5.46  % (19308)Instructions burned: 2934 (million)
% 39.30/5.46  % (19308)------------------------------
% 39.30/5.46  % (19308)------------------------------
% 39.56/5.51  % (19272)Instruction limit reached!
% 39.56/5.51  % (19272)------------------------------
% 39.56/5.51  % (19272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.56/5.51  % (19272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.56/5.51  % (19272)Termination reason: Unknown
% 39.56/5.51  % (19272)Termination phase: Saturation
% 39.56/5.51  
% 39.56/5.51  % (19272)Memory used [KB]: 24690
% 39.56/5.51  % (19272)Time elapsed: 4.550 s
% 39.56/5.51  % (19272)Instructions burned: 2098 (million)
% 39.56/5.51  % (19272)------------------------------
% 39.56/5.51  % (19272)------------------------------
% 40.49/5.62  % (19364)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=21216:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/21216Mi)
% 41.11/5.69  % (19365)dis+1011_1:32_tgt=ground:i=34326:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/34326Mi)
% 49.99/6.82  % (19271)Instruction limit reached!
% 49.99/6.82  % (19271)------------------------------
% 49.99/6.82  % (19271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.99/6.82  % (19271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.99/6.82  % (19271)Termination reason: Unknown
% 49.99/6.82  % (19271)Termination phase: Saturation
% 49.99/6.82  
% 49.99/6.82  % (19271)Memory used [KB]: 32877
% 49.99/6.82  % (19271)Time elapsed: 5.884 s
% 49.99/6.82  % (19271)Instructions burned: 2989 (million)
% 49.99/6.82  % (19271)------------------------------
% 49.99/6.82  % (19271)------------------------------
% 50.77/6.94  % (19376)dis+10_1:128_drc=off:ins=1:sp=const_frequency:tgt=ground:i=47220:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/47220Mi)
% 50.77/6.95  % (19276)Instruction limit reached!
% 50.77/6.95  % (19276)------------------------------
% 50.77/6.95  % (19276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.77/6.95  % (19276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.77/6.95  % (19276)Termination reason: Unknown
% 50.77/6.95  % (19276)Termination phase: Saturation
% 50.77/6.95  
% 50.77/6.95  % (19276)Memory used [KB]: 49125
% 50.77/6.95  % (19276)Time elapsed: 5.781 s
% 50.77/6.95  % (19276)Instructions burned: 2798 (million)
% 50.77/6.95  % (19276)------------------------------
% 50.77/6.95  % (19276)------------------------------
% 52.46/7.17  % (19377)lrs+33_1:4_lwlo=on:s2a=on:tgt=ground:i=41523:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/41523Mi)
% 52.97/7.25  % (19304)Instruction limit reached!
% 52.97/7.25  % (19304)------------------------------
% 52.97/7.25  % (19304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.97/7.25  % (19304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.97/7.25  % (19304)Termination reason: Unknown
% 52.97/7.25  % (19304)Termination phase: Saturation
% 52.97/7.25  
% 52.97/7.25  % (19304)Memory used [KB]: 18166
% 52.97/7.25  % (19304)Time elapsed: 5.738 s
% 52.97/7.25  % (19304)Instructions burned: 2970 (million)
% 52.97/7.25  % (19304)------------------------------
% 52.97/7.25  % (19304)------------------------------
% 54.75/7.42  % (19410)ott+10_1:3_drc=off:fd=off:nwc=5.0:plsq=on:plsql=on:slsq=on:slsql=off:slsqr=17,16:sp=occurrence:i=7342:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/7342Mi)
% 57.40/7.74  % (19332)Refutation not found, non-redundant clauses discarded% (19332)------------------------------
% 57.40/7.74  % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.40/7.74  % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.40/7.74  % (19332)Termination reason: Refutation not found, non-redundant clauses discarded
% 57.40/7.74  
% 57.40/7.74  % (19332)Memory used [KB]: 23666
% 57.40/7.74  % (19332)Time elapsed: 3.829 s
% 57.40/7.74  % (19332)Instructions burned: 1573 (million)
% 57.40/7.74  % (19332)------------------------------
% 57.40/7.74  % (19332)------------------------------
% 58.47/7.92  % (19411)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=5576:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/5576Mi)
% 61.93/8.33  % (19314)First to succeed.
% 62.31/8.45  % (19287)Instruction limit reached!
% 62.31/8.45  % (19287)------------------------------
% 62.31/8.45  % (19287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.31/8.45  % (19287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.31/8.45  % (19287)Termination reason: Unknown
% 62.31/8.45  % (19287)Termination phase: Saturation
% 62.31/8.45  
% 62.31/8.45  % (19287)Memory used [KB]: 70361
% 62.31/8.45  % (19287)Time elapsed: 7.067 s
% 62.31/8.45  % (19287)Instructions burned: 3884 (million)
% 62.31/8.45  % (19287)------------------------------
% 62.31/8.45  % (19287)------------------------------
% 63.47/8.50  % (19314)Refutation found. Thanks to Tanya!
% 63.47/8.50  % SZS status Unsatisfiable for theBenchmark
% 63.47/8.50  % SZS output start Proof for theBenchmark
% See solution above
% 63.47/8.53  % (19314)------------------------------
% 63.47/8.53  % (19314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.47/8.53  % (19314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.47/8.53  % (19314)Termination reason: Refutation
% 63.47/8.53  
% 63.47/8.53  % (19314)Memory used [KB]: 43879
% 63.47/8.53  % (19314)Time elapsed: 6.121 s
% 63.47/8.53  % (19314)Instructions burned: 3202 (million)
% 63.47/8.53  % (19314)------------------------------
% 63.47/8.53  % (19314)------------------------------
% 63.47/8.53  % (19088)Success in time 8.152 s
%------------------------------------------------------------------------------