%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM504+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n031.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 : Fri Sep  1 20:18:44 EDT 2023

% Result   : Theorem 5.24s 1.17s
% Output   : Refutation 5.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  552
% Syntax   : Number of formulae    : 1891 ( 124 unt;   0 def)
%            Number of atoms       : 7795 (1464 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives : 10589 (4685   ~;5131   |; 195   &)
%                                         ( 515 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  507 ( 505 usr; 499 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   : 1623 (;1603   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12829,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f254,f259,f264,f269,f274,f279,f284,f289,f294,f299,f304,f309,f314,f319,f324,f329,f334,f339,f344,f348,f359,f364,f369,f373,f377,f381,f387,f391,f396,f401,f406,f411,f416,f421,f426,f430,f434,f438,f442,f446,f450,f473,f495,f499,f517,f521,f535,f539,f543,f547,f551,f555,f559,f563,f621,f625,f629,f635,f639,f643,f647,f653,f657,f661,f665,f713,f718,f722,f726,f730,f734,f763,f768,f772,f776,f802,f806,f814,f819,f823,f827,f831,f835,f839,f879,f887,f891,f895,f899,f903,f907,f911,f954,f960,f964,f968,f983,f996,f1001,f1010,f1015,f1020,f1025,f1030,f1035,f1040,f1045,f1050,f1055,f1060,f1065,f1070,f1075,f1080,f1085,f1090,f1095,f1100,f1105,f1110,f1115,f1120,f1125,f1225,f1487,f1492,f1497,f1502,f1507,f1512,f1517,f1629,f1659,f1663,f1705,f1709,f1713,f1717,f1721,f1725,f1729,f1733,f1832,f1850,f1854,f1858,f1862,f1866,f1955,f1960,f1965,f1978,f1983,f2007,f2030,f2034,f2038,f2042,f2047,f2051,f2055,f2059,f2063,f2067,f2157,f2168,f2179,f2183,f2188,f2192,f2196,f2200,f2204,f2208,f2212,f2216,f2220,f2224,f2236,f2240,f2336,f2460,f2464,f2468,f2473,f2477,f2481,f2485,f2489,f2493,f2497,f2501,f2505,f2509,f2733,f2737,f2741,f2745,f2749,f2753,f2757,f2761,f2765,f2922,f2926,f2930,f2934,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f2975,f2979,f2984,f3121,f3209,f3218,f3222,f3223,f3317,f3356,f3361,f3388,f3392,f3410,f3414,f3418,f3422,f3426,f3430,f3645,f3665,f3685,f3689,f3693,f3697,f3701,f3705,f3709,f3713,f3717,f3761,f3878,f3882,f3886,f3890,f3895,f3899,f3903,f3922,f3926,f3930,f3934,f3938,f3973,f4139,f4160,f4168,f4202,f4207,f4212,f4216,f4220,f4236,f4366,f4387,f4457,f4464,f4505,f4677,f4680,f4688,f4779,f4786,f4795,f4827,f4866,f4979,f5010,f5065,f5071,f5094,f5129,f5135,f5139,f5143,f5147,f5151,f5156,f5176,f5267,f5271,f5421,f5425,f5429,f5433,f5572,f5595,f5620,f5728,f5737,f5759,f5780,f5784,f5785,f5932,f5962,f5967,f5981,f5986,f5991,f6001,f6053,f6078,f6083,f6107,f6111,f6115,f6119,f6123,f6245,f6250,f6280,f6284,f6288,f6292,f6298,f6302,f6306,f6310,f6423,f6463,f6500,f6504,f6508,f6512,f6516,f6518,f6543,f6754,f6759,f6763,f6767,f6771,f6775,f6881,f6886,f6890,f6894,f6898,f7022,f7028,f7033,f7037,f7041,f7151,f7155,f7159,f7163,f7240,f7434,f7438,f7442,f7446,f7450,f7454,f7482,f7715,f7749,f7753,f7757,f7762,f7819,f8259,f8263,f8268,f8382,f8387,f8410,f8680,f8685,f8690,f8695,f8700,f8705,f8710,f8715,f8720,f8725,f8730,f8768,f8792,f8797,f8821,f8844,f8867,f8908,f8967,f9007,f9047,f9070,f9093,f9116,f9117,f9142,f9166,f9190,f9214,f9337,f9342,f9512,f9517,f9522,f9527,f9532,f9537,f9542,f9547,f9553,f9558,f9563,f9586,f9591,f9597,f9603,f9608,f9623,f9683,f9720,f9792,f9852,f9875,f9886,f9891,f10008,f10350,f10800,f11044,f11049,f11054,f11169,f11173,f11177,f11181,f11185,f11190,f11194,f11198,f11202,f11206,f11210,f11214,f11218,f11222,f11226,f11230,f11252,f11257,f11262,f11267,f11272,f11276,f11280,f11284,f11288,f11292,f11297,f11301,f11306,f11311,f11316,f11321,f11326,f11332,f11338,f11344,f11350,f11390,f11593,f11889,f11996,f11997,f12003,f12004,f12119,f12795,f12799,f12803,f12807,f12811,f12815,f12819,f12823,f12827,f12828]) ).

fof(f12828,plain,
    ( ~ spl6_317
    | spl6_32
    | ~ spl6_394 ),
    inference(avatar_split_clause,[],[f10198,f8697,f403,f5959]) ).

fof(f5959,plain,
    ( spl6_317
  <=> sdtasdt0(xn,xm) = sdtasdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).

fof(f403,plain,
    ( spl6_32
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).

fof(f8697,plain,
    ( spl6_394
  <=> sdtasdt0(xp,xm) = sdtasdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).

fof(f10198,plain,
    ( sdtasdt0(xn,xm) != sdtasdt0(xm,xp)
    | spl6_32
    | ~ spl6_394 ),
    inference(superposition,[],[f405,f8699]) ).

fof(f8699,plain,
    ( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
    | ~ spl6_394 ),
    inference(avatar_component_clause,[],[f8697]) ).

fof(f405,plain,
    ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
    | spl6_32 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f12827,plain,
    ( spl6_498
    | ~ spl6_25
    | ~ spl6_199 ),
    inference(avatar_split_clause,[],[f2605,f2491,f371,f12825]) ).

fof(f12825,plain,
    ( spl6_498
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK5(X0,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).

fof(f371,plain,
    ( spl6_25
  <=> ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).

fof(f2491,plain,
    ( spl6_199
  <=> ! [X2,X3] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK5(X2,X3),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).

fof(f2605,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK5(X0,X0),sz00) )
    | ~ spl6_25
    | ~ spl6_199 ),
    inference(duplicate_literal_removal,[],[f2582]) ).

fof(f2582,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sK5(X0,X0),sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_25
    | ~ spl6_199 ),
    inference(resolution,[],[f2492,f372]) ).

fof(f372,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_25 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2492,plain,
    ( ! [X2,X3] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK5(X2,X3),sz00) )
    | ~ spl6_199 ),
    inference(avatar_component_clause,[],[f2491]) ).

fof(f12823,plain,
    ( spl6_497
    | ~ spl6_8
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2105,f2040,f281,f12821]) ).

fof(f12821,plain,
    ( spl6_497
  <=> ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).

fof(f281,plain,
    ( spl6_8
  <=> aNaturalNumber0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f2040,plain,
    ( spl6_165
  <=> ! [X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).

fof(f2105,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz10,X1)) )
    | ~ spl6_8
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f283]) ).

fof(f283,plain,
    ( aNaturalNumber0(sz10)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f2041,plain,
    ( ! [X4,X5] :
        ( ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) )
    | ~ spl6_165 ),
    inference(avatar_component_clause,[],[f2040]) ).

fof(f12819,plain,
    ( spl6_496
    | ~ spl6_7
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2104,f2040,f276,f12817]) ).

fof(f12817,plain,
    ( spl6_496
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).

fof(f276,plain,
    ( spl6_7
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f2104,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
    | ~ spl6_7
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f278]) ).

fof(f278,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f12815,plain,
    ( spl6_495
    | ~ spl6_8
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2093,f2036,f281,f12813]) ).

fof(f12813,plain,
    ( spl6_495
  <=> ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).

fof(f2036,plain,
    ( spl6_164
  <=> ! [X2,X3] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).

fof(f2093,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtasdt0(sz10,X1),sz00) )
    | ~ spl6_8
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f283]) ).

fof(f2037,plain,
    ( ! [X2,X3] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) )
    | ~ spl6_164 ),
    inference(avatar_component_clause,[],[f2036]) ).

fof(f12811,plain,
    ( spl6_494
    | ~ spl6_7
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2092,f2036,f276,f12809]) ).

fof(f12809,plain,
    ( spl6_494
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).

fof(f2092,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtasdt0(sz00,X0),sz00) )
    | ~ spl6_7
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f278]) ).

fof(f12807,plain,
    ( spl6_493
    | ~ spl6_8
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2081,f2032,f281,f12805]) ).

fof(f12805,plain,
    ( spl6_493
  <=> ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).

fof(f2032,plain,
    ( spl6_163
  <=> ! [X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).

fof(f2081,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X1)) )
    | ~ spl6_8
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f283]) ).

fof(f2033,plain,
    ( ! [X4,X5] :
        ( ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) )
    | ~ spl6_163 ),
    inference(avatar_component_clause,[],[f2032]) ).

fof(f12803,plain,
    ( spl6_492
    | ~ spl6_7
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2080,f2032,f276,f12801]) ).

fof(f12801,plain,
    ( spl6_492
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).

fof(f2080,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) )
    | ~ spl6_7
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f278]) ).

fof(f12799,plain,
    ( spl6_491
    | ~ spl6_8
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2069,f2028,f281,f12797]) ).

fof(f12797,plain,
    ( spl6_491
  <=> ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).

fof(f2028,plain,
    ( spl6_162
  <=> ! [X2,X3] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).

fof(f2069,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sdtpldt0(sz10,X1),sz00) )
    | ~ spl6_8
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f283]) ).

fof(f2029,plain,
    ( ! [X2,X3] :
        ( ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) )
    | ~ spl6_162 ),
    inference(avatar_component_clause,[],[f2028]) ).

fof(f12795,plain,
    ( spl6_490
    | ~ spl6_7
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2068,f2028,f276,f12793]) ).

fof(f12793,plain,
    ( spl6_490
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).

fof(f2068,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) )
    | ~ spl6_7
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f278]) ).

fof(f12119,plain,
    ( ~ spl6_489
    | ~ spl6_317
    | spl6_440 ),
    inference(avatar_split_clause,[],[f11903,f9872,f5959,f12116]) ).

fof(f12116,plain,
    ( spl6_489
  <=> iLess0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).

fof(f9872,plain,
    ( spl6_440
  <=> iLess0(sz00,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).

fof(f11903,plain,
    ( ~ iLess0(sz00,sdtasdt0(xn,xm))
    | ~ spl6_317
    | spl6_440 ),
    inference(superposition,[],[f9873,f5961]) ).

fof(f5961,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | ~ spl6_317 ),
    inference(avatar_component_clause,[],[f5959]) ).

fof(f9873,plain,
    ( ~ iLess0(sz00,sdtasdt0(xm,xp))
    | spl6_440 ),
    inference(avatar_component_clause,[],[f9872]) ).

fof(f12004,plain,
    ( spl6_488
    | ~ spl6_317
    | ~ spl6_318 ),
    inference(avatar_split_clause,[],[f11958,f5964,f5959,f12000]) ).

fof(f12000,plain,
    ( spl6_488
  <=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).

fof(f5964,plain,
    ( spl6_318
  <=> sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).

fof(f11958,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
    | ~ spl6_317
    | ~ spl6_318 ),
    inference(superposition,[],[f5965,f5961]) ).

fof(f5965,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
    | ~ spl6_318 ),
    inference(avatar_component_clause,[],[f5964]) ).

fof(f12003,plain,
    ( ~ spl6_488
    | ~ spl6_317
    | spl6_322
    | ~ spl6_444 ),
    inference(avatar_split_clause,[],[f11935,f10797,f5988,f5959,f12000]) ).

fof(f5988,plain,
    ( spl6_322
  <=> sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).

fof(f10797,plain,
    ( spl6_444
  <=> sdtasdt0(xn,xm) = sdtasdt0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).

fof(f11935,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
    | ~ spl6_317
    | spl6_322
    | ~ spl6_444 ),
    inference(forward_demodulation,[],[f11896,f10799]) ).

fof(f10799,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xk,xp)
    | ~ spl6_444 ),
    inference(avatar_component_clause,[],[f10797]) ).

fof(f11896,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xn,xm))
    | ~ spl6_317
    | spl6_322 ),
    inference(superposition,[],[f5990,f5961]) ).

fof(f5990,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xm,xp))
    | spl6_322 ),
    inference(avatar_component_clause,[],[f5988]) ).

fof(f11997,plain,
    ( ~ spl6_444
    | ~ spl6_317
    | spl6_320 ),
    inference(avatar_split_clause,[],[f11894,f5978,f5959,f10797]) ).

fof(f5978,plain,
    ( spl6_320
  <=> sdtasdt0(xm,xp) = sdtasdt0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).

fof(f11894,plain,
    ( sdtasdt0(xn,xm) != sdtasdt0(xk,xp)
    | ~ spl6_317
    | spl6_320 ),
    inference(superposition,[],[f5979,f5961]) ).

fof(f5979,plain,
    ( sdtasdt0(xm,xp) != sdtasdt0(xk,xp)
    | spl6_320 ),
    inference(avatar_component_clause,[],[f5978]) ).

fof(f11996,plain,
    ( spl6_487
    | ~ spl6_316
    | ~ spl6_317 ),
    inference(avatar_split_clause,[],[f11892,f5959,f5955,f11993]) ).

fof(f11993,plain,
    ( spl6_487
  <=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).

fof(f5955,plain,
    ( spl6_316
  <=> iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).

fof(f11892,plain,
    ( iLess0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
    | ~ spl6_316
    | ~ spl6_317 ),
    inference(superposition,[],[f5957,f5961]) ).

fof(f5957,plain,
    ( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | ~ spl6_316 ),
    inference(avatar_component_clause,[],[f5955]) ).

fof(f11889,plain,
    ( spl6_318
    | ~ spl6_35
    | ~ spl6_394
    | ~ spl6_443 ),
    inference(avatar_split_clause,[],[f10227,f10005,f8697,f418,f5964]) ).

fof(f418,plain,
    ( spl6_35
  <=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).

fof(f10005,plain,
    ( spl6_443
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).

fof(f10227,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
    | ~ spl6_35
    | ~ spl6_394
    | ~ spl6_443 ),
    inference(forward_demodulation,[],[f10195,f10007]) ).

fof(f10007,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | ~ spl6_443 ),
    inference(avatar_component_clause,[],[f10005]) ).

fof(f10195,plain,
    ( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xp,xk))
    | ~ spl6_35
    | ~ spl6_394 ),
    inference(superposition,[],[f420,f8699]) ).

fof(f420,plain,
    ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
    | ~ spl6_35 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f11593,plain,
    ( spl6_486
    | ~ spl6_33
    | ~ spl6_394 ),
    inference(avatar_split_clause,[],[f10197,f8697,f408,f11590]) ).

fof(f11590,plain,
    ( spl6_486
  <=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).

fof(f408,plain,
    ( spl6_33
  <=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).

fof(f10197,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | ~ spl6_33
    | ~ spl6_394 ),
    inference(superposition,[],[f410,f8699]) ).

fof(f410,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
    | ~ spl6_33 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f11390,plain,
    ( spl6_485
    | ~ spl6_40
    | ~ spl6_147
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f5815,f4776,f1848,f440,f11387]) ).

fof(f11387,plain,
    ( spl6_485
  <=> sdtasdt0(xm,xp) = sdtpldt0(sz00,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).

fof(f440,plain,
    ( spl6_40
  <=> ! [X0] :
        ( sdtpldt0(sz00,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).

fof(f1848,plain,
    ( spl6_147
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).

fof(f4776,plain,
    ( spl6_286
  <=> aNaturalNumber0(sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).

fof(f5815,plain,
    ( sdtasdt0(xm,xp) = sdtpldt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_40
    | ~ spl6_147
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4894,f4951]) ).

fof(f4951,plain,
    ( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sz00)
    | ~ spl6_40
    | ~ spl6_147
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4894,f4877]) ).

fof(f4877,plain,
    ( sdtasdt0(xm,xp) = sdtpldt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_40
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f441]) ).

fof(f441,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(sz00,X0) = X0 )
    | ~ spl6_40 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f4777,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ spl6_286 ),
    inference(avatar_component_clause,[],[f4776]) ).

fof(f4894,plain,
    ( sdtpldt0(sdtasdt0(xm,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_147
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f1849]) ).

fof(f1849,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
    | ~ spl6_147 ),
    inference(avatar_component_clause,[],[f1848]) ).

fof(f11350,plain,
    ( spl6_484
    | ~ spl6_42
    | ~ spl6_150
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f5813,f4776,f1860,f448,f11347]) ).

fof(f11347,plain,
    ( spl6_484
  <=> sdtasdt0(xm,xp) = sdtasdt0(sz10,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).

fof(f448,plain,
    ( spl6_42
  <=> ! [X0] :
        ( sdtasdt0(sz10,X0) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).

fof(f1860,plain,
    ( spl6_150
  <=> ! [X1] :
        ( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).

fof(f5813,plain,
    ( sdtasdt0(xm,xp) = sdtasdt0(sz10,sdtasdt0(xm,xp))
    | ~ spl6_42
    | ~ spl6_150
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4897,f4953]) ).

fof(f4953,plain,
    ( sdtasdt0(xm,xp) = sdtasdt0(sdtasdt0(xm,xp),sz10)
    | ~ spl6_42
    | ~ spl6_150
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4897,f4879]) ).

fof(f4879,plain,
    ( sdtasdt0(xm,xp) = sdtasdt0(sz10,sdtasdt0(xm,xp))
    | ~ spl6_42
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f449]) ).

fof(f449,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(sz10,X0) = X0 )
    | ~ spl6_42 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f4897,plain,
    ( sdtasdt0(sdtasdt0(xm,xp),sz10) = sdtasdt0(sz10,sdtasdt0(xm,xp))
    | ~ spl6_150
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f1861]) ).

fof(f1861,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1) )
    | ~ spl6_150 ),
    inference(avatar_component_clause,[],[f1860]) ).

fof(f11344,plain,
    ( spl6_483
    | ~ spl6_42
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5627,f5617,f448,f11341]) ).

fof(f11341,plain,
    ( spl6_483
  <=> sdtasdt0(xk,xp) = sdtasdt0(sz10,sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).

fof(f5617,plain,
    ( spl6_309
  <=> aNaturalNumber0(sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).

fof(f5627,plain,
    ( sdtasdt0(xk,xp) = sdtasdt0(sz10,sdtasdt0(xk,xp))
    | ~ spl6_42
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f449]) ).

fof(f5619,plain,
    ( aNaturalNumber0(sdtasdt0(xk,xp))
    | ~ spl6_309 ),
    inference(avatar_component_clause,[],[f5617]) ).

fof(f11338,plain,
    ( spl6_482
    | ~ spl6_41
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5626,f5617,f444,f11335]) ).

fof(f11335,plain,
    ( spl6_482
  <=> sdtasdt0(xk,xp) = sdtasdt0(sdtasdt0(xk,xp),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).

fof(f444,plain,
    ( spl6_41
  <=> ! [X0] :
        ( sdtasdt0(X0,sz10) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).

fof(f5626,plain,
    ( sdtasdt0(xk,xp) = sdtasdt0(sdtasdt0(xk,xp),sz10)
    | ~ spl6_41
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f445]) ).

fof(f445,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz10) = X0 )
    | ~ spl6_41 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f11332,plain,
    ( spl6_481
    | ~ spl6_40
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5625,f5617,f440,f11329]) ).

fof(f11329,plain,
    ( spl6_481
  <=> sdtasdt0(xk,xp) = sdtpldt0(sz00,sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).

fof(f5625,plain,
    ( sdtasdt0(xk,xp) = sdtpldt0(sz00,sdtasdt0(xk,xp))
    | ~ spl6_40
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f441]) ).

fof(f11326,plain,
    ( spl6_480
    | ~ spl6_39
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5624,f5617,f436,f11323]) ).

fof(f11323,plain,
    ( spl6_480
  <=> sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xk,xp),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).

fof(f436,plain,
    ( spl6_39
  <=> ! [X0] :
        ( sdtpldt0(X0,sz00) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).

fof(f5624,plain,
    ( sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xk,xp),sz00)
    | ~ spl6_39
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f437]) ).

fof(f437,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sz00) = X0 )
    | ~ spl6_39 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f11321,plain,
    ( spl6_479
    | ~ spl6_8
    | ~ spl6_42
    | ~ spl6_157
    | ~ spl6_294 ),
    inference(avatar_split_clause,[],[f5173,f5092,f1967,f448,f281,f11318]) ).

fof(f11318,plain,
    ( spl6_479
  <=> sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).

fof(f1967,plain,
    ( spl6_157
  <=> aNaturalNumber0(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).

fof(f5092,plain,
    ( spl6_294
  <=> ! [X5] :
        ( ~ aNaturalNumber0(X5)
        | sdtasdt0(X5,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X5,xk),xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).

fof(f5173,plain,
    ( sdtsldt0(xk,xr) = sdtasdt0(sz10,sdtsldt0(xk,xr))
    | ~ spl6_8
    | ~ spl6_42
    | ~ spl6_157
    | ~ spl6_294 ),
    inference(forward_demodulation,[],[f5158,f4695]) ).

fof(f4695,plain,
    ( xk = sdtasdt0(sz10,xk)
    | ~ spl6_42
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f449]) ).

fof(f1968,plain,
    ( aNaturalNumber0(xk)
    | ~ spl6_157 ),
    inference(avatar_component_clause,[],[f1967]) ).

fof(f5158,plain,
    ( sdtasdt0(sz10,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz10,xk),xr)
    | ~ spl6_8
    | ~ spl6_294 ),
    inference(resolution,[],[f5093,f283]) ).

fof(f5093,plain,
    ( ! [X5] :
        ( ~ aNaturalNumber0(X5)
        | sdtasdt0(X5,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X5,xk),xr) )
    | ~ spl6_294 ),
    inference(avatar_component_clause,[],[f5092]) ).

fof(f11316,plain,
    ( spl6_478
    | ~ spl6_7
    | ~ spl6_38
    | ~ spl6_157
    | ~ spl6_294 ),
    inference(avatar_split_clause,[],[f5172,f5092,f1967,f432,f276,f11313]) ).

fof(f11313,plain,
    ( spl6_478
  <=> sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).

fof(f432,plain,
    ( spl6_38
  <=> ! [X0] :
        ( sz00 = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).

fof(f5172,plain,
    ( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sz00,xr)
    | ~ spl6_7
    | ~ spl6_38
    | ~ spl6_157
    | ~ spl6_294 ),
    inference(forward_demodulation,[],[f5157,f4691]) ).

fof(f4691,plain,
    ( sz00 = sdtasdt0(sz00,xk)
    | ~ spl6_38
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f433]) ).

fof(f433,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(sz00,X0) )
    | ~ spl6_38 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f5157,plain,
    ( sdtasdt0(sz00,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(sz00,xk),xr)
    | ~ spl6_7
    | ~ spl6_294 ),
    inference(resolution,[],[f5093,f278]) ).

fof(f11311,plain,
    ( spl6_477
    | ~ spl6_42
    | ~ spl6_150
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f4953,f4776,f1860,f448,f11308]) ).

fof(f11308,plain,
    ( spl6_477
  <=> sdtasdt0(xm,xp) = sdtasdt0(sdtasdt0(xm,xp),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).

fof(f11306,plain,
    ( spl6_476
    | ~ spl6_40
    | ~ spl6_147
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f4951,f4776,f1848,f440,f11303]) ).

fof(f11303,plain,
    ( spl6_476
  <=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xm,xp),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).

fof(f11301,plain,
    ( spl6_475
    | ~ spl6_157
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f4266,f2040,f1967,f11299]) ).

fof(f11299,plain,
    ( spl6_475
  <=> ! [X13] :
        ( ~ aNaturalNumber0(X13)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xk,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).

fof(f4266,plain,
    ( ! [X13] :
        ( ~ aNaturalNumber0(X13)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xk,X13)) )
    | ~ spl6_157
    | ~ spl6_165 ),
    inference(resolution,[],[f1968,f2041]) ).

fof(f11297,plain,
    ( ~ spl6_157
    | ~ spl6_8
    | spl6_474
    | ~ spl6_186
    | ~ spl6_370 ),
    inference(avatar_split_clause,[],[f8630,f7237,f2234,f11294,f281,f1967]) ).

fof(f11294,plain,
    ( spl6_474
  <=> doDivides0(xk,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).

fof(f2234,plain,
    ( spl6_186
  <=> ! [X0,X1] :
        ( doDivides0(X0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).

fof(f7237,plain,
    ( spl6_370
  <=> xk = sdtasdt0(xk,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).

fof(f8630,plain,
    ( doDivides0(xk,xk)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_186
    | ~ spl6_370 ),
    inference(duplicate_literal_removal,[],[f8605]) ).

fof(f8605,plain,
    ( doDivides0(xk,xk)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_186
    | ~ spl6_370 ),
    inference(superposition,[],[f2235,f7239]) ).

fof(f7239,plain,
    ( xk = sdtasdt0(xk,sz10)
    | ~ spl6_370 ),
    inference(avatar_component_clause,[],[f7237]) ).

fof(f2235,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_186 ),
    inference(avatar_component_clause,[],[f2234]) ).

fof(f11292,plain,
    ( spl6_473
    | ~ spl6_157
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f4265,f2036,f1967,f11290]) ).

fof(f11290,plain,
    ( spl6_473
  <=> ! [X12] :
        ( ~ aNaturalNumber0(X12)
        | sz00 = sdtasdt0(sdtasdt0(xk,X12),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).

fof(f4265,plain,
    ( ! [X12] :
        ( ~ aNaturalNumber0(X12)
        | sz00 = sdtasdt0(sdtasdt0(xk,X12),sz00) )
    | ~ spl6_157
    | ~ spl6_164 ),
    inference(resolution,[],[f1968,f2037]) ).

fof(f11288,plain,
    ( spl6_472
    | ~ spl6_157
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f4264,f2032,f1967,f11286]) ).

fof(f11286,plain,
    ( spl6_472
  <=> ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xk,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).

fof(f4264,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xk,X11)) )
    | ~ spl6_157
    | ~ spl6_163 ),
    inference(resolution,[],[f1968,f2033]) ).

fof(f11284,plain,
    ( spl6_471
    | ~ spl6_157
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f4263,f2028,f1967,f11282]) ).

fof(f11282,plain,
    ( spl6_471
  <=> ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtpldt0(xk,X10),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).

fof(f4263,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtpldt0(xk,X10),sz00) )
    | ~ spl6_157
    | ~ spl6_162 ),
    inference(resolution,[],[f1968,f2029]) ).

fof(f11280,plain,
    ( spl6_470
    | ~ spl6_53
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4245,f1967,f553,f11278]) ).

fof(f11278,plain,
    ( spl6_470
  <=> ! [X1] :
        ( sdtasdt0(X1,xk) = sdtasdt0(xk,X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).

fof(f553,plain,
    ( spl6_53
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).

fof(f4245,plain,
    ( ! [X1] :
        ( sdtasdt0(X1,xk) = sdtasdt0(xk,X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_53
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f554]) ).

fof(f554,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_53 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f11276,plain,
    ( spl6_469
    | ~ spl6_52
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4244,f1967,f549,f11274]) ).

fof(f11274,plain,
    ( spl6_469
  <=> ! [X0] :
        ( sdtpldt0(X0,xk) = sdtpldt0(xk,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).

fof(f549,plain,
    ( spl6_52
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).

fof(f4244,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,xk) = sdtpldt0(xk,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_52
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f550]) ).

fof(f550,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_52 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f11272,plain,
    ( spl6_468
    | ~ spl6_42
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3240,f3198,f448,f11269]) ).

fof(f11269,plain,
    ( spl6_468
  <=> sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).

fof(f3198,plain,
    ( spl6_230
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).

fof(f3240,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,sdtasdt0(xn,xm))
    | ~ spl6_42
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f449]) ).

fof(f3199,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_230 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f11267,plain,
    ( spl6_467
    | ~ spl6_41
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3239,f3198,f444,f11264]) ).

fof(f11264,plain,
    ( spl6_467
  <=> sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).

fof(f3239,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xm),sz10)
    | ~ spl6_41
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f445]) ).

fof(f11262,plain,
    ( spl6_466
    | ~ spl6_40
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3238,f3198,f440,f11259]) ).

fof(f11259,plain,
    ( spl6_466
  <=> sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).

fof(f3238,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sz00,sdtasdt0(xn,xm))
    | ~ spl6_40
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f441]) ).

fof(f11257,plain,
    ( spl6_465
    | ~ spl6_39
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3237,f3198,f436,f11254]) ).

fof(f11254,plain,
    ( spl6_465
  <=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).

fof(f3237,plain,
    ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xn,xm),sz00)
    | ~ spl6_39
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f437]) ).

fof(f11252,plain,
    ( spl6_464
    | ~ spl6_2
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2111,f2040,f251,f11250]) ).

fof(f11250,plain,
    ( spl6_464
  <=> ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xr,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).

fof(f251,plain,
    ( spl6_2
  <=> aNaturalNumber0(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f2111,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xr,X11)) )
    | ~ spl6_2
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f253]) ).

fof(f253,plain,
    ( aNaturalNumber0(xr)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f11230,plain,
    ( spl6_463
    | ~ spl6_6
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2110,f2040,f271,f11228]) ).

fof(f11228,plain,
    ( spl6_463
  <=> ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xp,X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).

fof(f271,plain,
    ( spl6_6
  <=> aNaturalNumber0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f2110,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xp,X10)) )
    | ~ spl6_6
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f273]) ).

fof(f273,plain,
    ( aNaturalNumber0(xp)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f11226,plain,
    ( spl6_462
    | ~ spl6_5
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2109,f2040,f266,f11224]) ).

fof(f11224,plain,
    ( spl6_462
  <=> ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).

fof(f266,plain,
    ( spl6_5
  <=> aNaturalNumber0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f2109,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xm,X9)) )
    | ~ spl6_5
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f268]) ).

fof(f268,plain,
    ( aNaturalNumber0(xm)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f11222,plain,
    ( spl6_461
    | ~ spl6_4
    | ~ spl6_165 ),
    inference(avatar_split_clause,[],[f2108,f2040,f261,f11220]) ).

fof(f11220,plain,
    ( spl6_461
  <=> ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).

fof(f261,plain,
    ( spl6_4
  <=> aNaturalNumber0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f2108,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sz00,sdtasdt0(xn,X8)) )
    | ~ spl6_4
    | ~ spl6_165 ),
    inference(resolution,[],[f2041,f263]) ).

fof(f263,plain,
    ( aNaturalNumber0(xn)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f11218,plain,
    ( spl6_460
    | ~ spl6_2
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2099,f2036,f251,f11216]) ).

fof(f11216,plain,
    ( spl6_460
  <=> ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sdtasdt0(xr,X11),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).

fof(f2099,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sdtasdt0(xr,X11),sz00) )
    | ~ spl6_2
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f253]) ).

fof(f11214,plain,
    ( spl6_459
    | ~ spl6_6
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2098,f2036,f271,f11212]) ).

fof(f11212,plain,
    ( spl6_459
  <=> ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtasdt0(xp,X10),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).

fof(f2098,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtasdt0(xp,X10),sz00) )
    | ~ spl6_6
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f273]) ).

fof(f11210,plain,
    ( spl6_458
    | ~ spl6_5
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2097,f2036,f266,f11208]) ).

fof(f11208,plain,
    ( spl6_458
  <=> ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sdtasdt0(xm,X9),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).

fof(f2097,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sdtasdt0(xm,X9),sz00) )
    | ~ spl6_5
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f268]) ).

fof(f11206,plain,
    ( spl6_457
    | ~ spl6_4
    | ~ spl6_164 ),
    inference(avatar_split_clause,[],[f2096,f2036,f261,f11204]) ).

fof(f11204,plain,
    ( spl6_457
  <=> ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sdtasdt0(xn,X8),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).

fof(f2096,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sdtasdt0(xn,X8),sz00) )
    | ~ spl6_4
    | ~ spl6_164 ),
    inference(resolution,[],[f2037,f263]) ).

fof(f11202,plain,
    ( spl6_456
    | ~ spl6_2
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2087,f2032,f251,f11200]) ).

fof(f11200,plain,
    ( spl6_456
  <=> ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xr,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).

fof(f2087,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xr,X11)) )
    | ~ spl6_2
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f253]) ).

fof(f11198,plain,
    ( spl6_455
    | ~ spl6_6
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2086,f2032,f271,f11196]) ).

fof(f11196,plain,
    ( spl6_455
  <=> ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xp,X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).

fof(f2086,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xp,X10)) )
    | ~ spl6_6
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f273]) ).

fof(f11194,plain,
    ( spl6_454
    | ~ spl6_5
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2085,f2032,f266,f11192]) ).

fof(f11192,plain,
    ( spl6_454
  <=> ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).

fof(f2085,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xm,X9)) )
    | ~ spl6_5
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f268]) ).

fof(f11190,plain,
    ( ~ spl6_157
    | ~ spl6_7
    | spl6_453
    | ~ spl6_186
    | ~ spl6_342 ),
    inference(avatar_split_clause,[],[f8462,f6420,f2234,f11187,f276,f1967]) ).

fof(f11187,plain,
    ( spl6_453
  <=> doDivides0(xk,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).

fof(f6420,plain,
    ( spl6_342
  <=> sz00 = sdtasdt0(xk,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).

fof(f8462,plain,
    ( doDivides0(xk,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_186
    | ~ spl6_342 ),
    inference(duplicate_literal_removal,[],[f8443]) ).

fof(f8443,plain,
    ( doDivides0(xk,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_186
    | ~ spl6_342 ),
    inference(superposition,[],[f2235,f6422]) ).

fof(f6422,plain,
    ( sz00 = sdtasdt0(xk,sz00)
    | ~ spl6_342 ),
    inference(avatar_component_clause,[],[f6420]) ).

fof(f11185,plain,
    ( spl6_452
    | ~ spl6_4
    | ~ spl6_163 ),
    inference(avatar_split_clause,[],[f2084,f2032,f261,f11183]) ).

fof(f11183,plain,
    ( spl6_452
  <=> ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).

fof(f2084,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sz00,sdtpldt0(xn,X8)) )
    | ~ spl6_4
    | ~ spl6_163 ),
    inference(resolution,[],[f2033,f263]) ).

fof(f11181,plain,
    ( spl6_451
    | ~ spl6_2
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2075,f2028,f251,f11179]) ).

fof(f11179,plain,
    ( spl6_451
  <=> ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sdtpldt0(xr,X11),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).

fof(f2075,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sz00 = sdtasdt0(sdtpldt0(xr,X11),sz00) )
    | ~ spl6_2
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f253]) ).

fof(f11177,plain,
    ( spl6_450
    | ~ spl6_6
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2074,f2028,f271,f11175]) ).

fof(f11175,plain,
    ( spl6_450
  <=> ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtpldt0(xp,X10),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).

fof(f2074,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sz00 = sdtasdt0(sdtpldt0(xp,X10),sz00) )
    | ~ spl6_6
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f273]) ).

fof(f11173,plain,
    ( spl6_449
    | ~ spl6_5
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2073,f2028,f266,f11171]) ).

fof(f11171,plain,
    ( spl6_449
  <=> ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sdtpldt0(xm,X9),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).

fof(f2073,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sz00 = sdtasdt0(sdtpldt0(xm,X9),sz00) )
    | ~ spl6_5
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f268]) ).

fof(f11169,plain,
    ( spl6_448
    | ~ spl6_4
    | ~ spl6_162 ),
    inference(avatar_split_clause,[],[f2072,f2028,f261,f11167]) ).

fof(f11167,plain,
    ( spl6_448
  <=> ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sdtpldt0(xn,X8),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).

fof(f2072,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sz00 = sdtasdt0(sdtpldt0(xn,X8),sz00) )
    | ~ spl6_4
    | ~ spl6_162 ),
    inference(resolution,[],[f2029,f263]) ).

fof(f11054,plain,
    ( ~ spl6_7
    | ~ spl6_8
    | spl6_447
    | ~ spl6_133
    | ~ spl6_187 ),
    inference(avatar_split_clause,[],[f2437,f2238,f1509,f11051,f281,f276]) ).

fof(f11051,plain,
    ( spl6_447
  <=> sdtlseqdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).

fof(f1509,plain,
    ( spl6_133
  <=> sz10 = sdtpldt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).

fof(f2238,plain,
    ( spl6_187
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).

fof(f2437,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_133
    | ~ spl6_187 ),
    inference(duplicate_literal_removal,[],[f2426]) ).

fof(f2426,plain,
    ( sdtlseqdt0(sz00,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_133
    | ~ spl6_187 ),
    inference(superposition,[],[f2239,f1511]) ).

fof(f1511,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl6_133 ),
    inference(avatar_component_clause,[],[f1509]) ).

fof(f2239,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_187 ),
    inference(avatar_component_clause,[],[f2238]) ).

fof(f11049,plain,
    ( spl6_446
    | ~ spl6_8
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1932,f1864,f281,f11046]) ).

fof(f11046,plain,
    ( spl6_446
  <=> sz10 = sdtpldt0(sz10,sK5(sz10,sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).

fof(f1864,plain,
    ( spl6_151
  <=> ! [X0] :
        ( sdtpldt0(X0,sK5(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).

fof(f1932,plain,
    ( sz10 = sdtpldt0(sz10,sK5(sz10,sz10))
    | ~ spl6_8
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f283]) ).

fof(f1865,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtpldt0(X0,sK5(X0,X0)) = X0 )
    | ~ spl6_151 ),
    inference(avatar_component_clause,[],[f1864]) ).

fof(f11044,plain,
    ( spl6_445
    | ~ spl6_7
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1931,f1864,f276,f11041]) ).

fof(f11041,plain,
    ( spl6_445
  <=> sz00 = sdtpldt0(sz00,sK5(sz00,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).

fof(f1931,plain,
    ( sz00 = sdtpldt0(sz00,sK5(sz00,sz00))
    | ~ spl6_7
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f278]) ).

fof(f10800,plain,
    ( spl6_444
    | ~ spl6_332
    | ~ spl6_427 ),
    inference(avatar_split_clause,[],[f9548,f9544,f6243,f10797]) ).

fof(f6243,plain,
    ( spl6_332
  <=> ! [X0] :
        ( xk != X0
        | sdtasdt0(xn,xm) = sdtasdt0(xp,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).

fof(f9544,plain,
    ( spl6_427
  <=> sdtasdt0(xp,xk) = sdtasdt0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).

fof(f9548,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xk,xp)
    | ~ spl6_332
    | ~ spl6_427 ),
    inference(forward_demodulation,[],[f9546,f6246]) ).

fof(f6246,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | ~ spl6_332 ),
    inference(equality_resolution,[],[f6244]) ).

fof(f6244,plain,
    ( ! [X0] :
        ( xk != X0
        | sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
    | ~ spl6_332 ),
    inference(avatar_component_clause,[],[f6243]) ).

fof(f9546,plain,
    ( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
    | ~ spl6_427 ),
    inference(avatar_component_clause,[],[f9544]) ).

fof(f10350,plain,
    ( spl6_17
    | ~ spl6_387
    | ~ spl6_438 ),
    inference(avatar_split_clause,[],[f9917,f9717,f8379,f326]) ).

fof(f326,plain,
    ( spl6_17
  <=> sz00 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

fof(f8379,plain,
    ( spl6_387
  <=> sz00 = sdtsldt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).

fof(f9717,plain,
    ( spl6_438
  <=> xk = sdtsldt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).

fof(f9917,plain,
    ( sz00 = xk
    | ~ spl6_387
    | ~ spl6_438 ),
    inference(superposition,[],[f9719,f8381]) ).

fof(f8381,plain,
    ( sz00 = sdtsldt0(sz00,xp)
    | ~ spl6_387 ),
    inference(avatar_component_clause,[],[f8379]) ).

fof(f9719,plain,
    ( xk = sdtsldt0(sz00,xp)
    | ~ spl6_438 ),
    inference(avatar_component_clause,[],[f9717]) ).

fof(f10008,plain,
    ( spl6_443
    | ~ spl6_332 ),
    inference(avatar_split_clause,[],[f6246,f6243,f10005]) ).

fof(f9891,plain,
    ( spl6_442
    | ~ spl6_232
    | ~ spl6_317 ),
    inference(avatar_split_clause,[],[f9879,f5959,f3206,f9888]) ).

fof(f9888,plain,
    ( spl6_442
  <=> sz00 = sdtasdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).

fof(f3206,plain,
    ( spl6_232
  <=> sz00 = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).

fof(f9879,plain,
    ( sz00 = sdtasdt0(xm,xp)
    | ~ spl6_232
    | ~ spl6_317 ),
    inference(forward_demodulation,[],[f5961,f3208]) ).

fof(f3208,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | ~ spl6_232 ),
    inference(avatar_component_clause,[],[f3206]) ).

fof(f9886,plain,
    ( ~ spl6_441
    | ~ spl6_232
    | spl6_316
    | ~ spl6_317 ),
    inference(avatar_split_clause,[],[f9881,f5959,f5955,f3206,f9883]) ).

fof(f9883,plain,
    ( spl6_441
  <=> iLess0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).

fof(f9881,plain,
    ( ~ iLess0(sz00,sz00)
    | ~ spl6_232
    | spl6_316
    | ~ spl6_317 ),
    inference(forward_demodulation,[],[f9880,f3208]) ).

fof(f9880,plain,
    ( ~ iLess0(sdtasdt0(xn,xm),sz00)
    | ~ spl6_232
    | spl6_316
    | ~ spl6_317 ),
    inference(forward_demodulation,[],[f5956,f9879]) ).

fof(f5956,plain,
    ( ~ iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | spl6_316 ),
    inference(avatar_component_clause,[],[f5955]) ).

fof(f9875,plain,
    ( spl6_440
    | ~ spl6_232
    | ~ spl6_316 ),
    inference(avatar_split_clause,[],[f7782,f5955,f3206,f9872]) ).

fof(f7782,plain,
    ( iLess0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_232
    | ~ spl6_316 ),
    inference(superposition,[],[f5957,f3208]) ).

fof(f9852,plain,
    ( spl6_436
    | ~ spl6_231
    | ~ spl6_232 ),
    inference(avatar_split_clause,[],[f3325,f3206,f3202,f9620]) ).

fof(f9620,plain,
    ( spl6_436
  <=> sdtlseqdt0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).

fof(f3202,plain,
    ( spl6_231
  <=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).

fof(f3325,plain,
    ( sdtlseqdt0(xp,sz00)
    | ~ spl6_231
    | ~ spl6_232 ),
    inference(superposition,[],[f3204,f3208]) ).

fof(f3204,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | ~ spl6_231 ),
    inference(avatar_component_clause,[],[f3202]) ).

fof(f9792,plain,
    ( spl6_439
    | ~ spl6_2
    | ~ spl6_235
    | ~ spl6_295 ),
    inference(avatar_split_clause,[],[f5917,f5127,f3314,f251,f9789]) ).

fof(f9789,plain,
    ( spl6_439
  <=> sdtlseqdt0(xr,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).

fof(f3314,plain,
    ( spl6_235
  <=> sdtlseqdt0(xr,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).

fof(f5127,plain,
    ( spl6_295
  <=> ! [X13] :
        ( sdtlseqdt0(X13,sdtasdt0(xm,xp))
        | ~ aNaturalNumber0(X13)
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).

fof(f5917,plain,
    ( ~ aNaturalNumber0(xr)
    | sdtlseqdt0(xr,sdtasdt0(xm,xp))
    | ~ spl6_235
    | ~ spl6_295 ),
    inference(resolution,[],[f5128,f3316]) ).

fof(f3316,plain,
    ( sdtlseqdt0(xr,sdtasdt0(xn,xm))
    | ~ spl6_235 ),
    inference(avatar_component_clause,[],[f3314]) ).

fof(f5128,plain,
    ( ! [X13] :
        ( ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13)
        | sdtlseqdt0(X13,sdtasdt0(xm,xp)) )
    | ~ spl6_295 ),
    inference(avatar_component_clause,[],[f5127]) ).

fof(f9720,plain,
    ( spl6_438
    | ~ spl6_31
    | ~ spl6_232 ),
    inference(avatar_split_clause,[],[f3320,f3206,f398,f9717]) ).

fof(f398,plain,
    ( spl6_31
  <=> xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).

fof(f3320,plain,
    ( xk = sdtsldt0(sz00,xp)
    | ~ spl6_31
    | ~ spl6_232 ),
    inference(superposition,[],[f400,f3208]) ).

fof(f400,plain,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    | ~ spl6_31 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f9683,plain,
    ( spl6_437
    | ~ spl6_232
    | ~ spl6_235 ),
    inference(avatar_split_clause,[],[f9635,f3314,f3206,f9680]) ).

fof(f9680,plain,
    ( spl6_437
  <=> sdtlseqdt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).

fof(f9635,plain,
    ( sdtlseqdt0(xr,sz00)
    | ~ spl6_232
    | ~ spl6_235 ),
    inference(superposition,[],[f3316,f3208]) ).

fof(f9623,plain,
    ( ~ spl6_436
    | spl6_231
    | ~ spl6_232 ),
    inference(avatar_split_clause,[],[f9618,f3206,f3202,f9620]) ).

fof(f9618,plain,
    ( ~ sdtlseqdt0(xp,sz00)
    | spl6_231
    | ~ spl6_232 ),
    inference(forward_demodulation,[],[f3203,f3208]) ).

fof(f3203,plain,
    ( ~ sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | spl6_231 ),
    inference(avatar_component_clause,[],[f3202]) ).

fof(f9608,plain,
    ( spl6_435
    | ~ spl6_6
    | ~ spl6_231
    | ~ spl6_295 ),
    inference(avatar_split_clause,[],[f5916,f5127,f3202,f271,f9605]) ).

fof(f9605,plain,
    ( spl6_435
  <=> sdtlseqdt0(xp,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).

fof(f5916,plain,
    ( ~ aNaturalNumber0(xp)
    | sdtlseqdt0(xp,sdtasdt0(xm,xp))
    | ~ spl6_231
    | ~ spl6_295 ),
    inference(resolution,[],[f5128,f3204]) ).

fof(f9603,plain,
    ( spl6_434
    | ~ spl6_38
    | ~ spl6_149
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f5814,f4776,f1856,f432,f9600]) ).

fof(f9600,plain,
    ( spl6_434
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).

fof(f1856,plain,
    ( spl6_149
  <=> ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).

fof(f5814,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_38
    | ~ spl6_149
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4896,f4952]) ).

fof(f4952,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xm,xp),sz00)
    | ~ spl6_38
    | ~ spl6_149
    | ~ spl6_286 ),
    inference(forward_demodulation,[],[f4896,f4875]) ).

fof(f4875,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_38
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f433]) ).

fof(f4896,plain,
    ( sdtasdt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xp))
    | ~ spl6_149
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f1857]) ).

fof(f1857,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
    | ~ spl6_149 ),
    inference(avatar_component_clause,[],[f1856]) ).

fof(f9597,plain,
    ( spl6_433
    | ~ spl6_38
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5623,f5617,f432,f9594]) ).

fof(f9594,plain,
    ( spl6_433
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).

fof(f5623,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xk,xp))
    | ~ spl6_38
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f433]) ).

fof(f9591,plain,
    ( spl6_432
    | ~ spl6_37
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5622,f5617,f428,f9588]) ).

fof(f9588,plain,
    ( spl6_432
  <=> sz00 = sdtasdt0(sdtasdt0(xk,xp),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).

fof(f428,plain,
    ( spl6_37
  <=> ! [X0] :
        ( sz00 = sdtasdt0(X0,sz00)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).

fof(f5622,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xk,xp),sz00)
    | ~ spl6_37
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f429]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sz00 = sdtasdt0(X0,sz00) )
    | ~ spl6_37 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f9586,plain,
    ( spl6_431
    | ~ spl6_38
    | ~ spl6_149
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f4952,f4776,f1856,f432,f9583]) ).

fof(f9583,plain,
    ( spl6_431
  <=> sz00 = sdtasdt0(sdtasdt0(xm,xp),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).

fof(f9563,plain,
    ( spl6_430
    | ~ spl6_151
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4262,f1967,f1864,f9560]) ).

fof(f9560,plain,
    ( spl6_430
  <=> xk = sdtpldt0(xk,sK5(xk,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).

fof(f4262,plain,
    ( xk = sdtpldt0(xk,sK5(xk,xk))
    | ~ spl6_151
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1865]) ).

fof(f9558,plain,
    ( spl6_429
    | ~ spl6_148
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4259,f1967,f1852,f9555]) ).

fof(f9555,plain,
    ( spl6_429
  <=> sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).

fof(f1852,plain,
    ( spl6_148
  <=> ! [X1] :
        ( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).

fof(f4259,plain,
    ( sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk)
    | ~ spl6_148
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1853]) ).

fof(f1853,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1) )
    | ~ spl6_148 ),
    inference(avatar_component_clause,[],[f1852]) ).

fof(f9553,plain,
    ( spl6_428
    | ~ spl6_145
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4257,f1967,f1731,f9550]) ).

fof(f9550,plain,
    ( spl6_428
  <=> sdtasdt0(xk,xr) = sdtasdt0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).

fof(f1731,plain,
    ( spl6_145
  <=> ! [X11] :
        ( sdtasdt0(X11,xr) = sdtasdt0(xr,X11)
        | ~ aNaturalNumber0(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).

fof(f4257,plain,
    ( sdtasdt0(xk,xr) = sdtasdt0(xr,xk)
    | ~ spl6_145
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1732]) ).

fof(f1732,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sdtasdt0(X11,xr) = sdtasdt0(xr,X11) )
    | ~ spl6_145 ),
    inference(avatar_component_clause,[],[f1731]) ).

fof(f9547,plain,
    ( spl6_427
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4256,f1967,f1727,f9544]) ).

fof(f1727,plain,
    ( spl6_144
  <=> ! [X10] :
        ( sdtasdt0(X10,xp) = sdtasdt0(xp,X10)
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).

fof(f4256,plain,
    ( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1728]) ).

fof(f1728,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sdtasdt0(X10,xp) = sdtasdt0(xp,X10) )
    | ~ spl6_144 ),
    inference(avatar_component_clause,[],[f1727]) ).

fof(f9542,plain,
    ( spl6_426
    | ~ spl6_143
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4255,f1967,f1723,f9539]) ).

fof(f9539,plain,
    ( spl6_426
  <=> sdtasdt0(xk,xm) = sdtasdt0(xm,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).

fof(f1723,plain,
    ( spl6_143
  <=> ! [X9] :
        ( sdtasdt0(X9,xm) = sdtasdt0(xm,X9)
        | ~ aNaturalNumber0(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).

fof(f4255,plain,
    ( sdtasdt0(xk,xm) = sdtasdt0(xm,xk)
    | ~ spl6_143
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1724]) ).

fof(f1724,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,xm) = sdtasdt0(xm,X9) )
    | ~ spl6_143 ),
    inference(avatar_component_clause,[],[f1723]) ).

fof(f9537,plain,
    ( spl6_425
    | ~ spl6_142
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4254,f1967,f1719,f9534]) ).

fof(f9534,plain,
    ( spl6_425
  <=> sdtasdt0(xk,xn) = sdtasdt0(xn,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).

fof(f1719,plain,
    ( spl6_142
  <=> ! [X8] :
        ( sdtasdt0(X8,xn) = sdtasdt0(xn,X8)
        | ~ aNaturalNumber0(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).

fof(f4254,plain,
    ( sdtasdt0(xk,xn) = sdtasdt0(xn,xk)
    | ~ spl6_142
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1720]) ).

fof(f1720,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sdtasdt0(X8,xn) = sdtasdt0(xn,X8) )
    | ~ spl6_142 ),
    inference(avatar_component_clause,[],[f1719]) ).

fof(f9532,plain,
    ( spl6_424
    | ~ spl6_141
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4253,f1967,f1715,f9529]) ).

fof(f9529,plain,
    ( spl6_424
  <=> sdtpldt0(xk,xr) = sdtpldt0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).

fof(f1715,plain,
    ( spl6_141
  <=> ! [X11] :
        ( sdtpldt0(X11,xr) = sdtpldt0(xr,X11)
        | ~ aNaturalNumber0(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).

fof(f4253,plain,
    ( sdtpldt0(xk,xr) = sdtpldt0(xr,xk)
    | ~ spl6_141
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1716]) ).

fof(f1716,plain,
    ( ! [X11] :
        ( ~ aNaturalNumber0(X11)
        | sdtpldt0(X11,xr) = sdtpldt0(xr,X11) )
    | ~ spl6_141 ),
    inference(avatar_component_clause,[],[f1715]) ).

fof(f9527,plain,
    ( spl6_423
    | ~ spl6_140
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4252,f1967,f1711,f9524]) ).

fof(f9524,plain,
    ( spl6_423
  <=> sdtpldt0(xk,xp) = sdtpldt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).

fof(f1711,plain,
    ( spl6_140
  <=> ! [X10] :
        ( sdtpldt0(X10,xp) = sdtpldt0(xp,X10)
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).

fof(f4252,plain,
    ( sdtpldt0(xk,xp) = sdtpldt0(xp,xk)
    | ~ spl6_140
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1712]) ).

fof(f1712,plain,
    ( ! [X10] :
        ( ~ aNaturalNumber0(X10)
        | sdtpldt0(X10,xp) = sdtpldt0(xp,X10) )
    | ~ spl6_140 ),
    inference(avatar_component_clause,[],[f1711]) ).

fof(f9522,plain,
    ( spl6_422
    | ~ spl6_139
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4251,f1967,f1707,f9519]) ).

fof(f9519,plain,
    ( spl6_422
  <=> sdtpldt0(xk,xm) = sdtpldt0(xm,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).

fof(f1707,plain,
    ( spl6_139
  <=> ! [X9] :
        ( sdtpldt0(X9,xm) = sdtpldt0(xm,X9)
        | ~ aNaturalNumber0(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).

fof(f4251,plain,
    ( sdtpldt0(xk,xm) = sdtpldt0(xm,xk)
    | ~ spl6_139
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1708]) ).

fof(f1708,plain,
    ( ! [X9] :
        ( ~ aNaturalNumber0(X9)
        | sdtpldt0(X9,xm) = sdtpldt0(xm,X9) )
    | ~ spl6_139 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f9517,plain,
    ( spl6_421
    | ~ spl6_138
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4250,f1967,f1703,f9514]) ).

fof(f9514,plain,
    ( spl6_421
  <=> sdtpldt0(xk,xn) = sdtpldt0(xn,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).

fof(f1703,plain,
    ( spl6_138
  <=> ! [X8] :
        ( sdtpldt0(X8,xn) = sdtpldt0(xn,X8)
        | ~ aNaturalNumber0(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).

fof(f4250,plain,
    ( sdtpldt0(xk,xn) = sdtpldt0(xn,xk)
    | ~ spl6_138
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f1704]) ).

fof(f1704,plain,
    ( ! [X8] :
        ( ~ aNaturalNumber0(X8)
        | sdtpldt0(X8,xn) = sdtpldt0(xn,X8) )
    | ~ spl6_138 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f9512,plain,
    ( spl6_420
    | ~ spl6_7
    | ~ spl6_292
    | ~ spl6_414 ),
    inference(avatar_split_clause,[],[f9143,f9139,f5069,f276,f9509]) ).

fof(f9509,plain,
    ( spl6_420
  <=> sdtlseqdt0(sz00,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).

fof(f5069,plain,
    ( spl6_292
  <=> ! [X18] :
        ( sdtlseqdt0(X18,xk)
        | ~ aNaturalNumber0(X18)
        | ~ sdtlseqdt0(X18,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).

fof(f9139,plain,
    ( spl6_414
  <=> sdtlseqdt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).

fof(f9143,plain,
    ( ~ aNaturalNumber0(sz00)
    | sdtlseqdt0(sz00,xk)
    | ~ spl6_292
    | ~ spl6_414 ),
    inference(resolution,[],[f9141,f5070]) ).

fof(f5070,plain,
    ( ! [X18] :
        ( ~ sdtlseqdt0(X18,xr)
        | ~ aNaturalNumber0(X18)
        | sdtlseqdt0(X18,xk) )
    | ~ spl6_292 ),
    inference(avatar_component_clause,[],[f5069]) ).

fof(f9141,plain,
    ( sdtlseqdt0(sz00,xr)
    | ~ spl6_414 ),
    inference(avatar_component_clause,[],[f9139]) ).

fof(f9342,plain,
    ( spl6_419
    | ~ spl6_38
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3236,f3198,f432,f9339]) ).

fof(f9339,plain,
    ( spl6_419
  <=> sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).

fof(f3236,plain,
    ( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xm))
    | ~ spl6_38
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f433]) ).

fof(f9337,plain,
    ( spl6_418
    | ~ spl6_37
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3235,f3198,f428,f9334]) ).

fof(f9334,plain,
    ( spl6_418
  <=> sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).

fof(f3235,plain,
    ( sz00 = sdtasdt0(sdtasdt0(xn,xm),sz00)
    | ~ spl6_37
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f429]) ).

fof(f9214,plain,
    ( ~ spl6_7
    | ~ spl6_4
    | spl6_417
    | ~ spl6_114
    | ~ spl6_187 ),
    inference(avatar_split_clause,[],[f2436,f2238,f1067,f9211,f261,f276]) ).

fof(f9211,plain,
    ( spl6_417
  <=> sdtlseqdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).

fof(f1067,plain,
    ( spl6_114
  <=> xn = sdtpldt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).

fof(f2436,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_114
    | ~ spl6_187 ),
    inference(duplicate_literal_removal,[],[f2427]) ).

fof(f2427,plain,
    ( sdtlseqdt0(sz00,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_114
    | ~ spl6_187 ),
    inference(superposition,[],[f2239,f1069]) ).

fof(f1069,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl6_114 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f9190,plain,
    ( ~ spl6_7
    | ~ spl6_5
    | spl6_416
    | ~ spl6_115
    | ~ spl6_187 ),
    inference(avatar_split_clause,[],[f2435,f2238,f1072,f9187,f266,f276]) ).

fof(f9187,plain,
    ( spl6_416
  <=> sdtlseqdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).

fof(f1072,plain,
    ( spl6_115
  <=> xm = sdtpldt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).

fof(f2435,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_115
    | ~ spl6_187 ),
    inference(duplicate_literal_removal,[],[f2428]) ).

fof(f2428,plain,
    ( sdtlseqdt0(sz00,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_115
    | ~ spl6_187 ),
    inference(superposition,[],[f2239,f1074]) ).

fof(f1074,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl6_115 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f9166,plain,
    ( ~ spl6_7
    | ~ spl6_6
    | spl6_415
    | ~ spl6_116
    | ~ spl6_187 ),
    inference(avatar_split_clause,[],[f2434,f2238,f1077,f9163,f271,f276]) ).

fof(f9163,plain,
    ( spl6_415
  <=> sdtlseqdt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).

fof(f1077,plain,
    ( spl6_116
  <=> xp = sdtpldt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).

fof(f2434,plain,
    ( sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_116
    | ~ spl6_187 ),
    inference(duplicate_literal_removal,[],[f2429]) ).

fof(f2429,plain,
    ( sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_116
    | ~ spl6_187 ),
    inference(superposition,[],[f2239,f1079]) ).

fof(f1079,plain,
    ( xp = sdtpldt0(sz00,xp)
    | ~ spl6_116 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f9142,plain,
    ( ~ spl6_7
    | ~ spl6_2
    | spl6_414
    | ~ spl6_117
    | ~ spl6_187 ),
    inference(avatar_split_clause,[],[f2433,f2238,f1082,f9139,f251,f276]) ).

fof(f1082,plain,
    ( spl6_117
  <=> xr = sdtpldt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).

fof(f2433,plain,
    ( sdtlseqdt0(sz00,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_117
    | ~ spl6_187 ),
    inference(duplicate_literal_removal,[],[f2430]) ).

fof(f2430,plain,
    ( sdtlseqdt0(sz00,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_117
    | ~ spl6_187 ),
    inference(superposition,[],[f2239,f1084]) ).

fof(f1084,plain,
    ( xr = sdtpldt0(sz00,xr)
    | ~ spl6_117 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f9117,plain,
    ( ~ spl6_6
    | ~ spl6_7
    | spl6_386
    | ~ spl6_104
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2406,f2234,f1017,f8265,f276,f271]) ).

fof(f8265,plain,
    ( spl6_386
  <=> doDivides0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).

fof(f1017,plain,
    ( spl6_104
  <=> sz00 = sdtasdt0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).

fof(f2406,plain,
    ( doDivides0(xp,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_104
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2375]) ).

fof(f2375,plain,
    ( doDivides0(xp,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_104
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1019]) ).

fof(f1019,plain,
    ( sz00 = sdtasdt0(xp,sz00)
    | ~ spl6_104 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f9116,plain,
    ( spl6_413
    | ~ spl6_8
    | ~ spl6_237
    | ~ spl6_403 ),
    inference(avatar_split_clause,[],[f8798,f8794,f3359,f281,f9113]) ).

fof(f9113,plain,
    ( spl6_413
  <=> doDivides0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).

fof(f3359,plain,
    ( spl6_237
  <=> ! [X0] :
        ( doDivides0(X0,sz00)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).

fof(f8794,plain,
    ( spl6_403
  <=> doDivides0(sz10,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).

fof(f8798,plain,
    ( ~ aNaturalNumber0(sz10)
    | doDivides0(sz10,sz00)
    | ~ spl6_237
    | ~ spl6_403 ),
    inference(resolution,[],[f8796,f3360]) ).

fof(f3360,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X0,sz00) )
    | ~ spl6_237 ),
    inference(avatar_component_clause,[],[f3359]) ).

fof(f8796,plain,
    ( doDivides0(sz10,xp)
    | ~ spl6_403 ),
    inference(avatar_component_clause,[],[f8794]) ).

fof(f9093,plain,
    ( ~ spl6_4
    | ~ spl6_7
    | spl6_412
    | ~ spl6_100
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2408,f2234,f998,f9090,f276,f261]) ).

fof(f9090,plain,
    ( spl6_412
  <=> doDivides0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).

fof(f998,plain,
    ( spl6_100
  <=> sz00 = sdtasdt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).

fof(f2408,plain,
    ( doDivides0(xn,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_100
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2373]) ).

fof(f2373,plain,
    ( doDivides0(xn,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_100
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1000]) ).

fof(f1000,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl6_100 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f9070,plain,
    ( ~ spl6_5
    | ~ spl6_7
    | spl6_411
    | ~ spl6_103
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2407,f2234,f1012,f9067,f276,f266]) ).

fof(f9067,plain,
    ( spl6_411
  <=> doDivides0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).

fof(f1012,plain,
    ( spl6_103
  <=> sz00 = sdtasdt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).

fof(f2407,plain,
    ( doDivides0(xm,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_103
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2374]) ).

fof(f2374,plain,
    ( doDivides0(xm,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_103
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1014]) ).

fof(f1014,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl6_103 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f9047,plain,
    ( ~ spl6_2
    | ~ spl6_7
    | spl6_410
    | ~ spl6_105
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2405,f2234,f1022,f9044,f276,f251]) ).

fof(f9044,plain,
    ( spl6_410
  <=> doDivides0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).

fof(f1022,plain,
    ( spl6_105
  <=> sz00 = sdtasdt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).

fof(f2405,plain,
    ( doDivides0(xr,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_105
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2376]) ).

fof(f2376,plain,
    ( doDivides0(xr,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_105
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1024]) ).

fof(f1024,plain,
    ( sz00 = sdtasdt0(xr,sz00)
    | ~ spl6_105 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f9007,plain,
    ( ~ spl6_4
    | ~ spl6_8
    | spl6_409
    | ~ spl6_118
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2402,f2234,f1087,f9004,f281,f261]) ).

fof(f9004,plain,
    ( spl6_409
  <=> doDivides0(xn,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).

fof(f1087,plain,
    ( spl6_118
  <=> xn = sdtasdt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).

fof(f2402,plain,
    ( doDivides0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_118
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2379]) ).

fof(f2379,plain,
    ( doDivides0(xn,xn)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_118
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1089]) ).

fof(f1089,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl6_118 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f8967,plain,
    ( ~ spl6_5
    | ~ spl6_8
    | spl6_408
    | ~ spl6_119
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2401,f2234,f1092,f8964,f281,f266]) ).

fof(f8964,plain,
    ( spl6_408
  <=> doDivides0(xm,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).

fof(f1092,plain,
    ( spl6_119
  <=> xm = sdtasdt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).

fof(f2401,plain,
    ( doDivides0(xm,xm)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_119
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2380]) ).

fof(f2380,plain,
    ( doDivides0(xm,xm)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_119
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1094]) ).

fof(f1094,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl6_119 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f8908,plain,
    ( ~ spl6_6
    | ~ spl6_8
    | spl6_407
    | ~ spl6_120
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2400,f2234,f1097,f8905,f281,f271]) ).

fof(f8905,plain,
    ( spl6_407
  <=> doDivides0(xp,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).

fof(f1097,plain,
    ( spl6_120
  <=> xp = sdtasdt0(xp,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).

fof(f2400,plain,
    ( doDivides0(xp,xp)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_120
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2381]) ).

fof(f2381,plain,
    ( doDivides0(xp,xp)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_120
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1099]) ).

fof(f1099,plain,
    ( xp = sdtasdt0(xp,sz10)
    | ~ spl6_120 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f8867,plain,
    ( ~ spl6_2
    | ~ spl6_8
    | spl6_406
    | ~ spl6_121
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2399,f2234,f1102,f8864,f281,f251]) ).

fof(f8864,plain,
    ( spl6_406
  <=> doDivides0(xr,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).

fof(f1102,plain,
    ( spl6_121
  <=> xr = sdtasdt0(xr,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).

fof(f2399,plain,
    ( doDivides0(xr,xr)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_121
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2382]) ).

fof(f2382,plain,
    ( doDivides0(xr,xr)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_121
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1104]) ).

fof(f1104,plain,
    ( xr = sdtasdt0(xr,sz10)
    | ~ spl6_121 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f8844,plain,
    ( ~ spl6_8
    | ~ spl6_4
    | spl6_405
    | ~ spl6_122
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2397,f2234,f1107,f8841,f261,f281]) ).

fof(f8841,plain,
    ( spl6_405
  <=> doDivides0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).

fof(f1107,plain,
    ( spl6_122
  <=> xn = sdtasdt0(sz10,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).

fof(f2397,plain,
    ( doDivides0(sz10,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_122
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2384]) ).

fof(f2384,plain,
    ( doDivides0(sz10,xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_122
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1109]) ).

fof(f1109,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl6_122 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f8821,plain,
    ( ~ spl6_8
    | ~ spl6_5
    | spl6_404
    | ~ spl6_123
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2395,f2234,f1112,f8818,f266,f281]) ).

fof(f8818,plain,
    ( spl6_404
  <=> doDivides0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).

fof(f1112,plain,
    ( spl6_123
  <=> xm = sdtasdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).

fof(f2395,plain,
    ( doDivides0(sz10,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_123
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2386]) ).

fof(f2386,plain,
    ( doDivides0(sz10,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_123
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1114]) ).

fof(f1114,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl6_123 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f8797,plain,
    ( ~ spl6_8
    | ~ spl6_6
    | spl6_403
    | ~ spl6_124
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2393,f2234,f1117,f8794,f271,f281]) ).

fof(f1117,plain,
    ( spl6_124
  <=> xp = sdtasdt0(sz10,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).

fof(f2393,plain,
    ( doDivides0(sz10,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_124
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2388]) ).

fof(f2388,plain,
    ( doDivides0(sz10,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_124
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1119]) ).

fof(f1119,plain,
    ( xp = sdtasdt0(sz10,xp)
    | ~ spl6_124 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f8792,plain,
    ( spl6_402
    | ~ spl6_8
    | ~ spl6_291
    | ~ spl6_401 ),
    inference(avatar_split_clause,[],[f8769,f8765,f5063,f281,f8789]) ).

fof(f8789,plain,
    ( spl6_402
  <=> doDivides0(sz10,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).

fof(f5063,plain,
    ( spl6_291
  <=> ! [X1] :
        ( doDivides0(X1,xk)
        | ~ aNaturalNumber0(X1)
        | ~ doDivides0(X1,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).

fof(f8765,plain,
    ( spl6_401
  <=> doDivides0(sz10,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).

fof(f8769,plain,
    ( ~ aNaturalNumber0(sz10)
    | doDivides0(sz10,xk)
    | ~ spl6_291
    | ~ spl6_401 ),
    inference(resolution,[],[f8767,f5064]) ).

fof(f5064,plain,
    ( ! [X1] :
        ( ~ doDivides0(X1,xr)
        | ~ aNaturalNumber0(X1)
        | doDivides0(X1,xk) )
    | ~ spl6_291 ),
    inference(avatar_component_clause,[],[f5063]) ).

fof(f8767,plain,
    ( doDivides0(sz10,xr)
    | ~ spl6_401 ),
    inference(avatar_component_clause,[],[f8765]) ).

fof(f8768,plain,
    ( ~ spl6_8
    | ~ spl6_2
    | spl6_401
    | ~ spl6_125
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2391,f2234,f1122,f8765,f251,f281]) ).

fof(f1122,plain,
    ( spl6_125
  <=> xr = sdtasdt0(sz10,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).

fof(f2391,plain,
    ( doDivides0(sz10,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_125
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2390]) ).

fof(f2390,plain,
    ( doDivides0(sz10,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_125
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1124]) ).

fof(f1124,plain,
    ( xr = sdtasdt0(sz10,xr)
    | ~ spl6_125 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f8730,plain,
    ( spl6_400
    | ~ spl6_2
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1938,f1864,f251,f8727]) ).

fof(f8727,plain,
    ( spl6_400
  <=> xr = sdtpldt0(xr,sK5(xr,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).

fof(f1938,plain,
    ( xr = sdtpldt0(xr,sK5(xr,xr))
    | ~ spl6_2
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f253]) ).

fof(f8725,plain,
    ( spl6_399
    | ~ spl6_6
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1937,f1864,f271,f8722]) ).

fof(f8722,plain,
    ( spl6_399
  <=> xp = sdtpldt0(xp,sK5(xp,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).

fof(f1937,plain,
    ( xp = sdtpldt0(xp,sK5(xp,xp))
    | ~ spl6_6
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f273]) ).

fof(f8720,plain,
    ( spl6_398
    | ~ spl6_5
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1936,f1864,f266,f8717]) ).

fof(f8717,plain,
    ( spl6_398
  <=> xm = sdtpldt0(xm,sK5(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).

fof(f1936,plain,
    ( xm = sdtpldt0(xm,sK5(xm,xm))
    | ~ spl6_5
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f268]) ).

fof(f8715,plain,
    ( spl6_397
    | ~ spl6_4
    | ~ spl6_151 ),
    inference(avatar_split_clause,[],[f1935,f1864,f261,f8712]) ).

fof(f8712,plain,
    ( spl6_397
  <=> xn = sdtpldt0(xn,sK5(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).

fof(f1935,plain,
    ( xn = sdtpldt0(xn,sK5(xn,xn))
    | ~ spl6_4
    | ~ spl6_151 ),
    inference(resolution,[],[f1865,f263]) ).

fof(f8710,plain,
    ( spl6_396
    | ~ spl6_2
    | ~ spl6_144 ),
    inference(avatar_split_clause,[],[f1821,f1727,f251,f8707]) ).

fof(f8707,plain,
    ( spl6_396
  <=> sdtasdt0(xr,xp) = sdtasdt0(xp,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).

fof(f1821,plain,
    ( sdtasdt0(xr,xp) = sdtasdt0(xp,xr)
    | ~ spl6_2
    | ~ spl6_144 ),
    inference(resolution,[],[f1728,f253]) ).

fof(f8705,plain,
    ( spl6_395
    | ~ spl6_2
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f1807,f1723,f251,f8702]) ).

fof(f8702,plain,
    ( spl6_395
  <=> sdtasdt0(xr,xm) = sdtasdt0(xm,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).

fof(f1807,plain,
    ( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
    | ~ spl6_2
    | ~ spl6_143 ),
    inference(resolution,[],[f1724,f253]) ).

fof(f8700,plain,
    ( spl6_394
    | ~ spl6_6
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f1806,f1723,f271,f8697]) ).

fof(f1806,plain,
    ( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
    | ~ spl6_6
    | ~ spl6_143 ),
    inference(resolution,[],[f1724,f273]) ).

fof(f8695,plain,
    ( spl6_393
    | ~ spl6_2
    | ~ spl6_142 ),
    inference(avatar_split_clause,[],[f1793,f1719,f251,f8692]) ).

fof(f8692,plain,
    ( spl6_393
  <=> sdtasdt0(xr,xn) = sdtasdt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).

fof(f1793,plain,
    ( sdtasdt0(xr,xn) = sdtasdt0(xn,xr)
    | ~ spl6_2
    | ~ spl6_142 ),
    inference(resolution,[],[f1720,f253]) ).

fof(f8690,plain,
    ( spl6_392
    | ~ spl6_6
    | ~ spl6_142 ),
    inference(avatar_split_clause,[],[f1792,f1719,f271,f8687]) ).

fof(f8687,plain,
    ( spl6_392
  <=> sdtasdt0(xp,xn) = sdtasdt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).

fof(f1792,plain,
    ( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
    | ~ spl6_6
    | ~ spl6_142 ),
    inference(resolution,[],[f1720,f273]) ).

fof(f8685,plain,
    ( spl6_391
    | ~ spl6_5
    | ~ spl6_142 ),
    inference(avatar_split_clause,[],[f1791,f1719,f266,f8682]) ).

fof(f8682,plain,
    ( spl6_391
  <=> sdtasdt0(xn,xm) = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).

fof(f1791,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
    | ~ spl6_5
    | ~ spl6_142 ),
    inference(resolution,[],[f1720,f268]) ).

fof(f8680,plain,
    ( spl6_390
    | ~ spl6_8
    | ~ spl6_141 ),
    inference(avatar_split_clause,[],[f1774,f1715,f281,f8677]) ).

fof(f8677,plain,
    ( spl6_390
  <=> sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).

fof(f1774,plain,
    ( sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10)
    | ~ spl6_8
    | ~ spl6_141 ),
    inference(resolution,[],[f1716,f283]) ).

fof(f8410,plain,
    ( spl6_389
    | ~ spl6_5
    | ~ spl6_16
    | ~ spl6_312 ),
    inference(avatar_split_clause,[],[f5767,f5757,f321,f266,f8407]) ).

fof(f8407,plain,
    ( spl6_389
  <=> sdtlseqdt0(xm,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).

fof(f321,plain,
    ( spl6_16
  <=> sdtlseqdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).

fof(f5757,plain,
    ( spl6_312
  <=> ! [X17] :
        ( sdtlseqdt0(X17,xk)
        | ~ aNaturalNumber0(X17)
        | ~ sdtlseqdt0(X17,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).

fof(f5767,plain,
    ( ~ aNaturalNumber0(xm)
    | sdtlseqdt0(xm,xk)
    | ~ spl6_16
    | ~ spl6_312 ),
    inference(resolution,[],[f5758,f323]) ).

fof(f323,plain,
    ( sdtlseqdt0(xm,xp)
    | ~ spl6_16 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f5758,plain,
    ( ! [X17] :
        ( ~ sdtlseqdt0(X17,xp)
        | ~ aNaturalNumber0(X17)
        | sdtlseqdt0(X17,xk) )
    | ~ spl6_312 ),
    inference(avatar_component_clause,[],[f5757]) ).

fof(f8387,plain,
    ( spl6_388
    | ~ spl6_4
    | ~ spl6_14
    | ~ spl6_312 ),
    inference(avatar_split_clause,[],[f5766,f5757,f311,f261,f8384]) ).

fof(f8384,plain,
    ( spl6_388
  <=> sdtlseqdt0(xn,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).

fof(f311,plain,
    ( spl6_14
  <=> sdtlseqdt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

fof(f5766,plain,
    ( ~ aNaturalNumber0(xn)
    | sdtlseqdt0(xn,xk)
    | ~ spl6_14
    | ~ spl6_312 ),
    inference(resolution,[],[f5758,f313]) ).

fof(f313,plain,
    ( sdtlseqdt0(xn,xp)
    | ~ spl6_14 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f8382,plain,
    ( spl6_387
    | ~ spl6_7
    | ~ spl6_38
    | ~ spl6_157
    | ~ spl6_230
    | ~ spl6_308 ),
    inference(avatar_split_clause,[],[f5590,f5570,f3198,f1967,f432,f276,f8379]) ).

fof(f5570,plain,
    ( spl6_308
  <=> ! [X4] :
        ( sdtsldt0(sdtasdt0(X4,sdtasdt0(xn,xm)),xp) = sdtasdt0(X4,xk)
        | ~ aNaturalNumber0(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).

fof(f5590,plain,
    ( sz00 = sdtsldt0(sz00,xp)
    | ~ spl6_7
    | ~ spl6_38
    | ~ spl6_157
    | ~ spl6_230
    | ~ spl6_308 ),
    inference(forward_demodulation,[],[f5589,f4691]) ).

fof(f5589,plain,
    ( sdtsldt0(sz00,xp) = sdtasdt0(sz00,xk)
    | ~ spl6_7
    | ~ spl6_38
    | ~ spl6_230
    | ~ spl6_308 ),
    inference(forward_demodulation,[],[f5573,f3236]) ).

fof(f5573,plain,
    ( sdtasdt0(sz00,xk) = sdtsldt0(sdtasdt0(sz00,sdtasdt0(xn,xm)),xp)
    | ~ spl6_7
    | ~ spl6_308 ),
    inference(resolution,[],[f5571,f278]) ).

fof(f5571,plain,
    ( ! [X4] :
        ( ~ aNaturalNumber0(X4)
        | sdtsldt0(sdtasdt0(X4,sdtasdt0(xn,xm)),xp) = sdtasdt0(X4,xk) )
    | ~ spl6_308 ),
    inference(avatar_component_clause,[],[f5570]) ).

fof(f8268,plain,
    ( spl6_386
    | ~ spl6_22
    | ~ spl6_232 ),
    inference(avatar_split_clause,[],[f3318,f3206,f356,f8265]) ).

fof(f356,plain,
    ( spl6_22
  <=> doDivides0(xp,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).

fof(f3318,plain,
    ( doDivides0(xp,sz00)
    | ~ spl6_22
    | ~ spl6_232 ),
    inference(superposition,[],[f358,f3208]) ).

fof(f358,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    | ~ spl6_22 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f8263,plain,
    ( spl6_385
    | ~ spl6_71
    | ~ spl6_97 ),
    inference(avatar_split_clause,[],[f977,f966,f728,f8261]) ).

fof(f8261,plain,
    ( spl6_385
  <=> ! [X6,X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | X4 = X5
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X6)
        | sdtasdt0(X5,X6) = sdtpldt0(sdtasdt0(X4,X6),sK5(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(sdtasdt0(X4,X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).

fof(f728,plain,
    ( spl6_71
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sK5(X0,X1)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).

fof(f966,plain,
    ( spl6_97
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).

fof(f977,plain,
    ( ! [X6,X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | X4 = X5
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X6)
        | sdtasdt0(X5,X6) = sdtpldt0(sdtasdt0(X4,X6),sK5(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(sdtasdt0(X4,X6)) )
    | ~ spl6_71
    | ~ spl6_97 ),
    inference(resolution,[],[f967,f729]) ).

fof(f729,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,sK5(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_71 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f967,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_97 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f8259,plain,
    ( spl6_384
    | ~ spl6_71
    | ~ spl6_96 ),
    inference(avatar_split_clause,[],[f973,f962,f728,f8257]) ).

fof(f8257,plain,
    ( spl6_384
  <=> ! [X6,X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | X4 = X5
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X6)
        | sdtasdt0(X6,X5) = sdtpldt0(sdtasdt0(X6,X4),sK5(sdtasdt0(X6,X4),sdtasdt0(X6,X5)))
        | ~ aNaturalNumber0(sdtasdt0(X6,X5))
        | ~ aNaturalNumber0(sdtasdt0(X6,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).

fof(f962,plain,
    ( spl6_96
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).

fof(f973,plain,
    ( ! [X6,X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | X4 = X5
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X6)
        | sdtasdt0(X6,X5) = sdtpldt0(sdtasdt0(X6,X4),sK5(sdtasdt0(X6,X4),sdtasdt0(X6,X5)))
        | ~ aNaturalNumber0(sdtasdt0(X6,X5))
        | ~ aNaturalNumber0(sdtasdt0(X6,X4)) )
    | ~ spl6_71
    | ~ spl6_96 ),
    inference(resolution,[],[f963,f729]) ).

fof(f963,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | sz00 = X0
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_96 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f7819,plain,
    ( spl6_383
    | ~ spl6_64
    | ~ spl6_97 ),
    inference(avatar_split_clause,[],[f979,f966,f655,f7817]) ).

fof(f7817,plain,
    ( spl6_383
  <=> ! [X12,X11,X10] :
        ( ~ sdtlseqdt0(X10,X11)
        | X10 = X11
        | sz00 = X12
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X12)
        | iLess0(sdtasdt0(X10,X12),sdtasdt0(X11,X12))
        | sdtasdt0(X10,X12) = sdtasdt0(X11,X12)
        | ~ aNaturalNumber0(sdtasdt0(X11,X12))
        | ~ aNaturalNumber0(sdtasdt0(X10,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).

fof(f655,plain,
    ( spl6_64
  <=> ! [X0,X1] :
        ( iLess0(X0,X1)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).

fof(f979,plain,
    ( ! [X10,X11,X12] :
        ( ~ sdtlseqdt0(X10,X11)
        | X10 = X11
        | sz00 = X12
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X12)
        | iLess0(sdtasdt0(X10,X12),sdtasdt0(X11,X12))
        | sdtasdt0(X10,X12) = sdtasdt0(X11,X12)
        | ~ aNaturalNumber0(sdtasdt0(X11,X12))
        | ~ aNaturalNumber0(sdtasdt0(X10,X12)) )
    | ~ spl6_64
    | ~ spl6_97 ),
    inference(resolution,[],[f967,f656]) ).

fof(f656,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | iLess0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_64 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f7762,plain,
    ( spl6_382
    | ~ spl6_2
    | ~ spl6_235
    | ~ spl6_289 ),
    inference(avatar_split_clause,[],[f5051,f4864,f3314,f251,f7759]) ).

fof(f7759,plain,
    ( spl6_382
  <=> sdtlseqdt0(xr,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).

fof(f4864,plain,
    ( spl6_289
  <=> ! [X13] :
        ( sdtlseqdt0(X13,xp)
        | ~ aNaturalNumber0(X13)
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).

fof(f5051,plain,
    ( ~ aNaturalNumber0(xr)
    | sdtlseqdt0(xr,xp)
    | ~ spl6_235
    | ~ spl6_289 ),
    inference(resolution,[],[f4865,f3316]) ).

fof(f4865,plain,
    ( ! [X13] :
        ( ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13)
        | sdtlseqdt0(X13,xp) )
    | ~ spl6_289 ),
    inference(avatar_component_clause,[],[f4864]) ).

fof(f7757,plain,
    ( spl6_381
    | ~ spl6_66
    | ~ spl6_97 ),
    inference(avatar_split_clause,[],[f978,f966,f663,f7755]) ).

fof(f7755,plain,
    ( spl6_381
  <=> ! [X9,X8,X7] :
        ( ~ sdtlseqdt0(X7,X8)
        | X7 = X8
        | sz00 = X9
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X8,X9) = sdtasdt0(X7,X9)
        | ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9))
        | ~ aNaturalNumber0(sdtasdt0(X7,X9))
        | ~ aNaturalNumber0(sdtasdt0(X8,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).

fof(f663,plain,
    ( spl6_66
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ sdtlseqdt0(X1,X0)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).

fof(f978,plain,
    ( ! [X8,X9,X7] :
        ( ~ sdtlseqdt0(X7,X8)
        | X7 = X8
        | sz00 = X9
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X8,X9) = sdtasdt0(X7,X9)
        | ~ sdtlseqdt0(sdtasdt0(X8,X9),sdtasdt0(X7,X9))
        | ~ aNaturalNumber0(sdtasdt0(X7,X9))
        | ~ aNaturalNumber0(sdtasdt0(X8,X9)) )
    | ~ spl6_66
    | ~ spl6_97 ),
    inference(resolution,[],[f967,f664]) ).

fof(f664,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X1,X0)
        | X0 = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_66 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f7753,plain,
    ( spl6_380
    | ~ spl6_64
    | ~ spl6_96 ),
    inference(avatar_split_clause,[],[f975,f962,f655,f7751]) ).

fof(f7751,plain,
    ( spl6_380
  <=> ! [X12,X11,X10] :
        ( ~ sdtlseqdt0(X10,X11)
        | X10 = X11
        | sz00 = X12
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X12)
        | iLess0(sdtasdt0(X12,X10),sdtasdt0(X12,X11))
        | sdtasdt0(X12,X10) = sdtasdt0(X12,X11)
        | ~ aNaturalNumber0(sdtasdt0(X12,X11))
        | ~ aNaturalNumber0(sdtasdt0(X12,X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).

fof(f975,plain,
    ( ! [X10,X11,X12] :
        ( ~ sdtlseqdt0(X10,X11)
        | X10 = X11
        | sz00 = X12
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X12)
        | iLess0(sdtasdt0(X12,X10),sdtasdt0(X12,X11))
        | sdtasdt0(X12,X10) = sdtasdt0(X12,X11)
        | ~ aNaturalNumber0(sdtasdt0(X12,X11))
        | ~ aNaturalNumber0(sdtasdt0(X12,X10)) )
    | ~ spl6_64
    | ~ spl6_96 ),
    inference(resolution,[],[f963,f656]) ).

fof(f7749,plain,
    ( spl6_379
    | ~ spl6_66
    | ~ spl6_96 ),
    inference(avatar_split_clause,[],[f974,f962,f663,f7747]) ).

fof(f7747,plain,
    ( spl6_379
  <=> ! [X9,X8,X7] :
        ( ~ sdtlseqdt0(X7,X8)
        | X7 = X8
        | sz00 = X9
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,X8) = sdtasdt0(X9,X7)
        | ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7))
        | ~ aNaturalNumber0(sdtasdt0(X9,X7))
        | ~ aNaturalNumber0(sdtasdt0(X9,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).

fof(f974,plain,
    ( ! [X8,X9,X7] :
        ( ~ sdtlseqdt0(X7,X8)
        | X7 = X8
        | sz00 = X9
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,X8) = sdtasdt0(X9,X7)
        | ~ sdtlseqdt0(sdtasdt0(X9,X8),sdtasdt0(X9,X7))
        | ~ aNaturalNumber0(sdtasdt0(X9,X7))
        | ~ aNaturalNumber0(sdtasdt0(X9,X8)) )
    | ~ spl6_66
    | ~ spl6_96 ),
    inference(resolution,[],[f963,f664]) ).

fof(f7715,plain,
    ( spl6_378
    | ~ spl6_84
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f991,f981,f833,f7713]) ).

fof(f7713,plain,
    ( spl6_378
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).

fof(f833,plain,
    ( spl6_84
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).

fof(f981,plain,
    ( spl6_98
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).

fof(f991,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_84
    | ~ spl6_98 ),
    inference(duplicate_literal_removal,[],[f984]) ).

fof(f984,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X3)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),X3)
        | sz00 = X3
        | ~ aNaturalNumber0(sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X3)
        | ~ doDivides0(X3,X2)
        | ~ doDivides0(X3,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_84
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f834]) ).

fof(f834,plain,
    ( ! [X2,X0,X1] :
        ( doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_84 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f982,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_98 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f7482,plain,
    ( spl6_377
    | ~ spl6_42
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4695,f1967,f448,f7479]) ).

fof(f7479,plain,
    ( spl6_377
  <=> xk = sdtasdt0(sz10,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).

fof(f7454,plain,
    ( spl6_376
    | ~ spl6_76
    | ~ spl6_97 ),
    inference(avatar_split_clause,[],[f976,f966,f774,f7452]) ).

fof(f7452,plain,
    ( spl6_376
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).

fof(f774,plain,
    ( spl6_76
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X1,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).

fof(f976,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X1,X2))
        | ~ sdtlseqdt0(X3,sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_76
    | ~ spl6_97 ),
    inference(resolution,[],[f967,f775]) ).

fof(f775,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X0,X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_76 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f7450,plain,
    ( spl6_375
    | ~ spl6_76
    | ~ spl6_96 ),
    inference(avatar_split_clause,[],[f972,f962,f774,f7448]) ).

fof(f7448,plain,
    ( spl6_375
  <=> ! [X0,X3,X2,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).

fof(f972,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | sz00 = X2
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,sdtasdt0(X2,X1))
        | ~ sdtlseqdt0(X3,sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(sdtasdt0(X2,X1))
        | ~ aNaturalNumber0(sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_76
    | ~ spl6_96 ),
    inference(resolution,[],[f963,f775]) ).

fof(f7446,plain,
    ( spl6_374
    | ~ spl6_71
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f924,f901,f728,f7444]) ).

fof(f7444,plain,
    ( spl6_374
  <=> ! [X6,X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ sdtlseqdt0(X5,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | sdtpldt0(X6,X4) = sdtpldt0(sdtpldt0(X5,X4),sK5(sdtpldt0(X5,X4),sdtpldt0(X6,X4)))
        | ~ aNaturalNumber0(sdtpldt0(X6,X4))
        | ~ aNaturalNumber0(sdtpldt0(X5,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).

fof(f901,plain,
    ( spl6_91
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).

fof(f924,plain,
    ( ! [X6,X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ sdtlseqdt0(X5,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | sdtpldt0(X6,X4) = sdtpldt0(sdtpldt0(X5,X4),sK5(sdtpldt0(X5,X4),sdtpldt0(X6,X4)))
        | ~ aNaturalNumber0(sdtpldt0(X6,X4))
        | ~ aNaturalNumber0(sdtpldt0(X5,X4)) )
    | ~ spl6_71
    | ~ spl6_91 ),
    inference(resolution,[],[f902,f729]) ).

fof(f902,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_91 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f7442,plain,
    ( spl6_373
    | ~ spl6_71
    | ~ spl6_90 ),
    inference(avatar_split_clause,[],[f920,f897,f728,f7440]) ).

fof(f7440,plain,
    ( spl6_373
  <=> ! [X6,X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ sdtlseqdt0(X5,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | sdtpldt0(X4,X6) = sdtpldt0(sdtpldt0(X4,X5),sK5(sdtpldt0(X4,X5),sdtpldt0(X4,X6)))
        | ~ aNaturalNumber0(sdtpldt0(X4,X6))
        | ~ aNaturalNumber0(sdtpldt0(X4,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).

fof(f897,plain,
    ( spl6_90
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).

fof(f920,plain,
    ( ! [X6,X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ sdtlseqdt0(X5,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | sdtpldt0(X4,X6) = sdtpldt0(sdtpldt0(X4,X5),sK5(sdtpldt0(X4,X5),sdtpldt0(X4,X6)))
        | ~ aNaturalNumber0(sdtpldt0(X4,X6))
        | ~ aNaturalNumber0(sdtpldt0(X4,X5)) )
    | ~ spl6_71
    | ~ spl6_90 ),
    inference(resolution,[],[f898,f729]) ).

fof(f898,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | X0 = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_90 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f7438,plain,
    ( spl6_372
    | ~ spl6_59
    | ~ spl6_85 ),
    inference(avatar_split_clause,[],[f882,f837,f633,f7436]) ).

fof(f7436,plain,
    ( spl6_372
  <=> ! [X6,X5] :
        ( doDivides0(sK3(sdtpldt0(X5,X6)),X6)
        | ~ doDivides0(sK3(sdtpldt0(X5,X6)),X5)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(sK3(sdtpldt0(X5,X6)))
        | sz10 = sdtpldt0(X5,X6)
        | sz00 = sdtpldt0(X5,X6)
        | ~ aNaturalNumber0(sdtpldt0(X5,X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).

fof(f633,plain,
    ( spl6_59
  <=> ! [X0] :
        ( doDivides0(sK3(X0),X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).

fof(f837,plain,
    ( spl6_85
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,X2)
        | ~ doDivides0(X0,sdtpldt0(X1,X2))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).

fof(f882,plain,
    ( ! [X6,X5] :
        ( doDivides0(sK3(sdtpldt0(X5,X6)),X6)
        | ~ doDivides0(sK3(sdtpldt0(X5,X6)),X5)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(sK3(sdtpldt0(X5,X6)))
        | sz10 = sdtpldt0(X5,X6)
        | sz00 = sdtpldt0(X5,X6)
        | ~ aNaturalNumber0(sdtpldt0(X5,X6)) )
    | ~ spl6_59
    | ~ spl6_85 ),
    inference(resolution,[],[f838,f634]) ).

fof(f634,plain,
    ( ! [X0] :
        ( doDivides0(sK3(X0),X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_59 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f838,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X0,sdtpldt0(X1,X2))
        | doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_85 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f7434,plain,
    ( spl6_371
    | ~ spl6_56
    | ~ spl6_85 ),
    inference(avatar_split_clause,[],[f881,f837,f619,f7432]) ).

fof(f7432,plain,
    ( spl6_371
  <=> ! [X4,X3] :
        ( doDivides0(sK2(sdtpldt0(X3,X4)),X4)
        | ~ doDivides0(sK2(sdtpldt0(X3,X4)),X3)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sK2(sdtpldt0(X3,X4)))
        | sP0(sdtpldt0(X3,X4))
        | sz10 = sdtpldt0(X3,X4)
        | sz00 = sdtpldt0(X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).

fof(f619,plain,
    ( spl6_56
  <=> ! [X0] :
        ( sP0(X0)
        | doDivides0(sK2(X0),X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).

fof(f881,plain,
    ( ! [X3,X4] :
        ( doDivides0(sK2(sdtpldt0(X3,X4)),X4)
        | ~ doDivides0(sK2(sdtpldt0(X3,X4)),X3)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(sK2(sdtpldt0(X3,X4)))
        | sP0(sdtpldt0(X3,X4))
        | sz10 = sdtpldt0(X3,X4)
        | sz00 = sdtpldt0(X3,X4) )
    | ~ spl6_56
    | ~ spl6_85 ),
    inference(resolution,[],[f838,f620]) ).

fof(f620,plain,
    ( ! [X0] :
        ( doDivides0(sK2(X0),X0)
        | sP0(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl6_56 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f7240,plain,
    ( spl6_370
    | ~ spl6_41
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4694,f1967,f444,f7237]) ).

fof(f4694,plain,
    ( xk = sdtasdt0(xk,sz10)
    | ~ spl6_41
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f445]) ).

fof(f7163,plain,
    ( spl6_369
    | ~ spl6_64
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f926,f901,f655,f7161]) ).

fof(f7161,plain,
    ( spl6_369
  <=> ! [X11,X12,X10] :
        ( ~ aNaturalNumber0(X10)
        | ~ sdtlseqdt0(X11,X12)
        | X11 = X12
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X11)
        | iLess0(sdtpldt0(X11,X10),sdtpldt0(X12,X10))
        | sdtpldt0(X11,X10) = sdtpldt0(X12,X10)
        | ~ aNaturalNumber0(sdtpldt0(X12,X10))
        | ~ aNaturalNumber0(sdtpldt0(X11,X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).

fof(f926,plain,
    ( ! [X10,X11,X12] :
        ( ~ aNaturalNumber0(X10)
        | ~ sdtlseqdt0(X11,X12)
        | X11 = X12
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X11)
        | iLess0(sdtpldt0(X11,X10),sdtpldt0(X12,X10))
        | sdtpldt0(X11,X10) = sdtpldt0(X12,X10)
        | ~ aNaturalNumber0(sdtpldt0(X12,X10))
        | ~ aNaturalNumber0(sdtpldt0(X11,X10)) )
    | ~ spl6_64
    | ~ spl6_91 ),
    inference(resolution,[],[f902,f656]) ).

fof(f7159,plain,
    ( spl6_368
    | ~ spl6_66
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f925,f901,f663,f7157]) ).

fof(f7157,plain,
    ( spl6_368
  <=> ! [X9,X7,X8] :
        ( ~ aNaturalNumber0(X7)
        | ~ sdtlseqdt0(X8,X9)
        | X8 = X9
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sdtpldt0(X9,X7) = sdtpldt0(X8,X7)
        | ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7))
        | ~ aNaturalNumber0(sdtpldt0(X8,X7))
        | ~ aNaturalNumber0(sdtpldt0(X9,X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).

fof(f925,plain,
    ( ! [X8,X9,X7] :
        ( ~ aNaturalNumber0(X7)
        | ~ sdtlseqdt0(X8,X9)
        | X8 = X9
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sdtpldt0(X9,X7) = sdtpldt0(X8,X7)
        | ~ sdtlseqdt0(sdtpldt0(X9,X7),sdtpldt0(X8,X7))
        | ~ aNaturalNumber0(sdtpldt0(X8,X7))
        | ~ aNaturalNumber0(sdtpldt0(X9,X7)) )
    | ~ spl6_66
    | ~ spl6_91 ),
    inference(resolution,[],[f902,f664]) ).

fof(f7155,plain,
    ( spl6_367
    | ~ spl6_64
    | ~ spl6_90 ),
    inference(avatar_split_clause,[],[f922,f897,f655,f7153]) ).

fof(f7153,plain,
    ( spl6_367
  <=> ! [X11,X12,X10] :
        ( ~ aNaturalNumber0(X10)
        | ~ sdtlseqdt0(X11,X12)
        | X11 = X12
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X11)
        | iLess0(sdtpldt0(X10,X11),sdtpldt0(X10,X12))
        | sdtpldt0(X10,X11) = sdtpldt0(X10,X12)
        | ~ aNaturalNumber0(sdtpldt0(X10,X12))
        | ~ aNaturalNumber0(sdtpldt0(X10,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).

fof(f922,plain,
    ( ! [X10,X11,X12] :
        ( ~ aNaturalNumber0(X10)
        | ~ sdtlseqdt0(X11,X12)
        | X11 = X12
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X11)
        | iLess0(sdtpldt0(X10,X11),sdtpldt0(X10,X12))
        | sdtpldt0(X10,X11) = sdtpldt0(X10,X12)
        | ~ aNaturalNumber0(sdtpldt0(X10,X12))
        | ~ aNaturalNumber0(sdtpldt0(X10,X11)) )
    | ~ spl6_64
    | ~ spl6_90 ),
    inference(resolution,[],[f898,f656]) ).

fof(f7151,plain,
    ( spl6_366
    | ~ spl6_66
    | ~ spl6_90 ),
    inference(avatar_split_clause,[],[f921,f897,f663,f7149]) ).

fof(f7149,plain,
    ( spl6_366
  <=> ! [X9,X7,X8] :
        ( ~ aNaturalNumber0(X7)
        | ~ sdtlseqdt0(X8,X9)
        | X8 = X9
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sdtpldt0(X7,X9) = sdtpldt0(X7,X8)
        | ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8))
        | ~ aNaturalNumber0(sdtpldt0(X7,X8))
        | ~ aNaturalNumber0(sdtpldt0(X7,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).

fof(f921,plain,
    ( ! [X8,X9,X7] :
        ( ~ aNaturalNumber0(X7)
        | ~ sdtlseqdt0(X8,X9)
        | X8 = X9
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sdtpldt0(X7,X9) = sdtpldt0(X7,X8)
        | ~ sdtlseqdt0(sdtpldt0(X7,X9),sdtpldt0(X7,X8))
        | ~ aNaturalNumber0(sdtpldt0(X7,X8))
        | ~ aNaturalNumber0(sdtpldt0(X7,X9)) )
    | ~ spl6_66
    | ~ spl6_90 ),
    inference(resolution,[],[f898,f664]) ).

fof(f7041,plain,
    ( spl6_365
    | ~ spl6_56
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f988,f981,f619,f7039]) ).

fof(f7039,plain,
    ( spl6_365
  <=> ! [X7,X8] :
        ( ~ aNaturalNumber0(X7)
        | sdtasdt0(X7,sdtsldt0(X8,sK2(X8))) = sdtsldt0(sdtasdt0(X7,X8),sK2(X8))
        | sz00 = sK2(X8)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(sK2(X8))
        | sP0(X8)
        | sz10 = X8
        | sz00 = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).

fof(f988,plain,
    ( ! [X8,X7] :
        ( ~ aNaturalNumber0(X7)
        | sdtasdt0(X7,sdtsldt0(X8,sK2(X8))) = sdtsldt0(sdtasdt0(X7,X8),sK2(X8))
        | sz00 = sK2(X8)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(sK2(X8))
        | sP0(X8)
        | sz10 = X8
        | sz00 = X8 )
    | ~ spl6_56
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f620]) ).

fof(f7037,plain,
    ( spl6_364
    | ~ spl6_76
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f923,f901,f774,f7035]) ).

fof(f7035,plain,
    ( spl6_364
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X2,X0))
        | ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).

fof(f923,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X2,X0))
        | ~ sdtlseqdt0(X3,sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(sdtpldt0(X2,X0))
        | ~ aNaturalNumber0(sdtpldt0(X1,X0))
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_76
    | ~ spl6_91 ),
    inference(resolution,[],[f902,f775]) ).

fof(f7033,plain,
    ( spl6_363
    | ~ spl6_40
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4693,f1967,f440,f7030]) ).

fof(f7030,plain,
    ( spl6_363
  <=> xk = sdtpldt0(sz00,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).

fof(f4693,plain,
    ( xk = sdtpldt0(sz00,xk)
    | ~ spl6_40
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f441]) ).

fof(f7028,plain,
    ( spl6_362
    | ~ spl6_76
    | ~ spl6_90 ),
    inference(avatar_split_clause,[],[f919,f897,f774,f7026]) ).

fof(f7026,plain,
    ( spl6_362
  <=> ! [X0,X3,X2,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X0,X2))
        | ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).

fof(f919,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ sdtlseqdt0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X3,sdtpldt0(X0,X2))
        | ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X2))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_76
    | ~ spl6_90 ),
    inference(resolution,[],[f898,f775]) ).

fof(f7022,plain,
    ( spl6_361
    | ~ spl6_59
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f990,f981,f633,f7020]) ).

fof(f7020,plain,
    ( spl6_361
  <=> ! [X9,X10] :
        ( ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,sdtsldt0(X10,sK3(X10))) = sdtsldt0(sdtasdt0(X9,X10),sK3(X10))
        | sz00 = sK3(X10)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(sK3(X10))
        | sz10 = X10
        | sz00 = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).

fof(f990,plain,
    ( ! [X10,X9] :
        ( ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,sdtsldt0(X10,sK3(X10))) = sdtsldt0(sdtasdt0(X9,X10),sK3(X10))
        | sz00 = sK3(X10)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(sK3(X10))
        | sz10 = X10
        | sz00 = X10 )
    | ~ spl6_59
    | ~ spl6_98 ),
    inference(duplicate_literal_removal,[],[f989]) ).

fof(f989,plain,
    ( ! [X10,X9] :
        ( ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,sdtsldt0(X10,sK3(X10))) = sdtsldt0(sdtasdt0(X9,X10),sK3(X10))
        | sz00 = sK3(X10)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(sK3(X10))
        | sz10 = X10
        | sz00 = X10
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_59
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f634]) ).

fof(f6898,plain,
    ( spl6_360
    | ~ spl6_55
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f950,f909,f561,f6896]) ).

fof(f6896,plain,
    ( spl6_360
  <=> ! [X31,X33,X30,X32] :
        ( sdtasdt0(sdtpldt0(X30,sK5(X31,X32)),X33) = sdtpldt0(sdtasdt0(X30,X33),sdtasdt0(sK5(X31,X32),X33))
        | ~ aNaturalNumber0(X30)
        | ~ aNaturalNumber0(X33)
        | ~ sdtlseqdt0(X31,X32)
        | ~ aNaturalNumber0(X32)
        | ~ aNaturalNumber0(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).

fof(f561,plain,
    ( spl6_55
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK5(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).

fof(f909,plain,
    ( spl6_93
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).

fof(f950,plain,
    ( ! [X31,X32,X30,X33] :
        ( sdtasdt0(sdtpldt0(X30,sK5(X31,X32)),X33) = sdtpldt0(sdtasdt0(X30,X33),sdtasdt0(sK5(X31,X32),X33))
        | ~ aNaturalNumber0(X30)
        | ~ aNaturalNumber0(X33)
        | ~ sdtlseqdt0(X31,X32)
        | ~ aNaturalNumber0(X32)
        | ~ aNaturalNumber0(X31) )
    | ~ spl6_55
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f562]) ).

fof(f562,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK5(X0,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_55 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f910,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_93 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f6894,plain,
    ( spl6_359
    | ~ spl6_54
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f949,f909,f557,f6892]) ).

fof(f6892,plain,
    ( spl6_359
  <=> ! [X29,X27,X28,X26] :
        ( sdtasdt0(sdtpldt0(X26,sK4(X27,X28)),X29) = sdtpldt0(sdtasdt0(X26,X29),sdtasdt0(sK4(X27,X28),X29))
        | ~ aNaturalNumber0(X26)
        | ~ aNaturalNumber0(X29)
        | ~ doDivides0(X27,X28)
        | ~ aNaturalNumber0(X28)
        | ~ aNaturalNumber0(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).

fof(f557,plain,
    ( spl6_54
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sK4(X0,X1))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).

fof(f949,plain,
    ( ! [X28,X29,X26,X27] :
        ( sdtasdt0(sdtpldt0(X26,sK4(X27,X28)),X29) = sdtpldt0(sdtasdt0(X26,X29),sdtasdt0(sK4(X27,X28),X29))
        | ~ aNaturalNumber0(X26)
        | ~ aNaturalNumber0(X29)
        | ~ doDivides0(X27,X28)
        | ~ aNaturalNumber0(X28)
        | ~ aNaturalNumber0(X27) )
    | ~ spl6_54
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f558]) ).

fof(f558,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sK4(X0,X1))
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_54 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f6890,plain,
    ( spl6_358
    | ~ spl6_55
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f938,f905,f561,f6888]) ).

fof(f6888,plain,
    ( spl6_358
  <=> ! [X31,X33,X30,X32] :
        ( sdtasdt0(X30,sdtpldt0(X31,sK5(X32,X33))) = sdtpldt0(sdtasdt0(X30,X31),sdtasdt0(X30,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).

fof(f905,plain,
    ( spl6_92
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).

fof(f938,plain,
    ( ! [X31,X32,X30,X33] :
        ( sdtasdt0(X30,sdtpldt0(X31,sK5(X32,X33))) = sdtpldt0(sdtasdt0(X30,X31),sdtasdt0(X30,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) )
    | ~ spl6_55
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f562]) ).

fof(f906,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_92 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f6886,plain,
    ( spl6_357
    | ~ spl6_39
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4692,f1967,f436,f6883]) ).

fof(f6883,plain,
    ( spl6_357
  <=> xk = sdtpldt0(xk,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).

fof(f4692,plain,
    ( xk = sdtpldt0(xk,sz00)
    | ~ spl6_39
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f437]) ).

fof(f6881,plain,
    ( spl6_356
    | ~ spl6_54
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f937,f905,f557,f6879]) ).

fof(f6879,plain,
    ( spl6_356
  <=> ! [X29,X27,X28,X26] :
        ( sdtasdt0(X26,sdtpldt0(X27,sK4(X28,X29))) = sdtpldt0(sdtasdt0(X26,X27),sdtasdt0(X26,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).

fof(f937,plain,
    ( ! [X28,X29,X26,X27] :
        ( sdtasdt0(X26,sdtpldt0(X27,sK4(X28,X29))) = sdtpldt0(sdtasdt0(X26,X27),sdtasdt0(X26,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) )
    | ~ spl6_54
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f558]) ).

fof(f6775,plain,
    ( spl6_355
    | ~ spl6_50
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f948,f909,f541,f6773]) ).

fof(f6773,plain,
    ( spl6_355
  <=> ! [X25,X24,X23] :
        ( sdtasdt0(sdtpldt0(X23,sK3(X24)),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(sK3(X24),X25))
        | ~ aNaturalNumber0(X23)
        | ~ aNaturalNumber0(X25)
        | sz10 = X24
        | sz00 = X24
        | ~ aNaturalNumber0(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).

fof(f541,plain,
    ( spl6_50
  <=> ! [X0] :
        ( aNaturalNumber0(sK3(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).

fof(f948,plain,
    ( ! [X24,X25,X23] :
        ( sdtasdt0(sdtpldt0(X23,sK3(X24)),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(sK3(X24),X25))
        | ~ aNaturalNumber0(X23)
        | ~ aNaturalNumber0(X25)
        | sz10 = X24
        | sz00 = X24
        | ~ aNaturalNumber0(X24) )
    | ~ spl6_50
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f542]) ).

fof(f542,plain,
    ( ! [X0] :
        ( aNaturalNumber0(sK3(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_50 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f6771,plain,
    ( spl6_354
    | ~ spl6_49
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f947,f909,f537,f6769]) ).

fof(f6769,plain,
    ( spl6_354
  <=> ! [X22,X20,X21] :
        ( sdtasdt0(sdtpldt0(X20,sK2(X21)),X22) = sdtpldt0(sdtasdt0(X20,X22),sdtasdt0(sK2(X21),X22))
        | ~ aNaturalNumber0(X20)
        | ~ aNaturalNumber0(X22)
        | sP0(X21)
        | sz10 = X21
        | sz00 = X21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).

fof(f537,plain,
    ( spl6_49
  <=> ! [X0] :
        ( sP0(X0)
        | aNaturalNumber0(sK2(X0))
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).

fof(f947,plain,
    ( ! [X21,X22,X20] :
        ( sdtasdt0(sdtpldt0(X20,sK2(X21)),X22) = sdtpldt0(sdtasdt0(X20,X22),sdtasdt0(sK2(X21),X22))
        | ~ aNaturalNumber0(X20)
        | ~ aNaturalNumber0(X22)
        | sP0(X21)
        | sz10 = X21
        | sz00 = X21 )
    | ~ spl6_49
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f538]) ).

fof(f538,plain,
    ( ! [X0] :
        ( aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl6_49 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f6767,plain,
    ( spl6_353
    | ~ spl6_50
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f936,f905,f541,f6765]) ).

fof(f6765,plain,
    ( spl6_353
  <=> ! [X24,X25,X23] :
        ( sdtasdt0(X23,sdtpldt0(X24,sK3(X25))) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).

fof(f936,plain,
    ( ! [X24,X25,X23] :
        ( sdtasdt0(X23,sdtpldt0(X24,sK3(X25))) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) )
    | ~ spl6_50
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f542]) ).

fof(f6763,plain,
    ( spl6_352
    | ~ spl6_49
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f935,f905,f537,f6761]) ).

fof(f6761,plain,
    ( spl6_352
  <=> ! [X22,X20,X21] :
        ( sdtasdt0(X20,sdtpldt0(X21,sK2(X22))) = sdtpldt0(sdtasdt0(X20,X21),sdtasdt0(X20,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).

fof(f935,plain,
    ( ! [X21,X22,X20] :
        ( sdtasdt0(X20,sdtpldt0(X21,sK2(X22))) = sdtpldt0(sdtasdt0(X20,X21),sdtasdt0(X20,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 )
    | ~ spl6_49
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f538]) ).

fof(f6759,plain,
    ( spl6_351
    | ~ spl6_38
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4691,f1967,f432,f6756]) ).

fof(f6756,plain,
    ( spl6_351
  <=> sz00 = sdtasdt0(sz00,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).

fof(f6754,plain,
    ( spl6_350
    | ~ spl6_69
    | ~ spl6_84 ),
    inference(avatar_split_clause,[],[f873,f833,f720,f6752]) ).

fof(f6752,plain,
    ( spl6_350
  <=> ! [X6,X4,X5] :
        ( ~ doDivides0(X4,X5)
        | ~ doDivides0(X4,X6)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X4)
        | sdtpldt0(X6,X5) = sdtasdt0(X4,sK4(X4,sdtpldt0(X6,X5)))
        | ~ aNaturalNumber0(sdtpldt0(X6,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).

fof(f720,plain,
    ( spl6_69
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sK4(X0,X1)) = X1
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).

fof(f873,plain,
    ( ! [X6,X4,X5] :
        ( ~ doDivides0(X4,X5)
        | ~ doDivides0(X4,X6)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X4)
        | sdtpldt0(X6,X5) = sdtasdt0(X4,sK4(X4,sdtpldt0(X6,X5)))
        | ~ aNaturalNumber0(sdtpldt0(X6,X5)) )
    | ~ spl6_69
    | ~ spl6_84 ),
    inference(duplicate_literal_removal,[],[f868]) ).

fof(f868,plain,
    ( ! [X6,X4,X5] :
        ( ~ doDivides0(X4,X5)
        | ~ doDivides0(X4,X6)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X4)
        | sdtpldt0(X6,X5) = sdtasdt0(X4,sK4(X4,sdtpldt0(X6,X5)))
        | ~ aNaturalNumber0(sdtpldt0(X6,X5))
        | ~ aNaturalNumber0(X4) )
    | ~ spl6_69
    | ~ spl6_84 ),
    inference(resolution,[],[f834,f721]) ).

fof(f721,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sdtasdt0(X0,sK4(X0,X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_69 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f6543,plain,
    ( spl6_349
    | ~ spl6_75
    | ~ spl6_84 ),
    inference(avatar_split_clause,[],[f874,f833,f770,f6541]) ).

fof(f6541,plain,
    ( spl6_349
  <=> ! [X0,X3,X2,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).

fof(f770,plain,
    ( spl6_75
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,X2)
        | ~ doDivides0(X1,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).

fof(f874,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_75
    | ~ spl6_84 ),
    inference(duplicate_literal_removal,[],[f867]) ).

fof(f867,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ doDivides0(X0,X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X0)
        | doDivides0(X3,sdtpldt0(X2,X1))
        | ~ doDivides0(X3,X0)
        | ~ aNaturalNumber0(sdtpldt0(X2,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_75
    | ~ spl6_84 ),
    inference(resolution,[],[f834,f771]) ).

fof(f771,plain,
    ( ! [X2,X0,X1] :
        ( ~ doDivides0(X1,X2)
        | doDivides0(X0,X2)
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_75 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f6518,plain,
    ( ~ spl6_146
    | spl6_80
    | ~ spl6_293 ),
    inference(avatar_split_clause,[],[f5100,f5088,f816,f1829]) ).

fof(f1829,plain,
    ( spl6_146
  <=> sP0(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).

fof(f816,plain,
    ( spl6_80
  <=> sP0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).

fof(f5088,plain,
    ( spl6_293
  <=> sz00 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).

fof(f5100,plain,
    ( ~ sP0(xr)
    | spl6_80
    | ~ spl6_293 ),
    inference(superposition,[],[f818,f5090]) ).

fof(f5090,plain,
    ( sz00 = xr
    | ~ spl6_293 ),
    inference(avatar_component_clause,[],[f5088]) ).

fof(f818,plain,
    ( ~ sP0(sz00)
    | spl6_80 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f6516,plain,
    ( spl6_348
    | ~ spl6_65
    | ~ spl6_84 ),
    inference(avatar_split_clause,[],[f872,f833,f659,f6514]) ).

fof(f6514,plain,
    ( spl6_348
  <=> ! [X9,X8,X7] :
        ( ~ doDivides0(X7,X8)
        | ~ doDivides0(X7,X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X7)
        | sz00 = sdtpldt0(X9,X8)
        | sdtlseqdt0(X7,sdtpldt0(X9,X8))
        | ~ aNaturalNumber0(sdtpldt0(X9,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).

fof(f659,plain,
    ( spl6_65
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | sz00 = X1
        | ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).

fof(f872,plain,
    ( ! [X8,X9,X7] :
        ( ~ doDivides0(X7,X8)
        | ~ doDivides0(X7,X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X7)
        | sz00 = sdtpldt0(X9,X8)
        | sdtlseqdt0(X7,sdtpldt0(X9,X8))
        | ~ aNaturalNumber0(sdtpldt0(X9,X8)) )
    | ~ spl6_65
    | ~ spl6_84 ),
    inference(duplicate_literal_removal,[],[f869]) ).

fof(f869,plain,
    ( ! [X8,X9,X7] :
        ( ~ doDivides0(X7,X8)
        | ~ doDivides0(X7,X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X7)
        | sz00 = sdtpldt0(X9,X8)
        | sdtlseqdt0(X7,sdtpldt0(X9,X8))
        | ~ aNaturalNumber0(sdtpldt0(X9,X8))
        | ~ aNaturalNumber0(X7) )
    | ~ spl6_65
    | ~ spl6_84 ),
    inference(resolution,[],[f834,f660]) ).

fof(f660,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | sz00 = X1
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_65 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f6512,plain,
    ( spl6_347
    | ~ spl6_55
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f866,f829,f561,f6510]) ).

fof(f6510,plain,
    ( spl6_347
  <=> ! [X31,X33,X30,X32] :
        ( sdtasdt0(sdtasdt0(X30,X31),sK5(X32,X33)) = sdtasdt0(X30,sdtasdt0(X31,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).

fof(f829,plain,
    ( spl6_83
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).

fof(f866,plain,
    ( ! [X31,X32,X30,X33] :
        ( sdtasdt0(sdtasdt0(X30,X31),sK5(X32,X33)) = sdtasdt0(X30,sdtasdt0(X31,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) )
    | ~ spl6_55
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f562]) ).

fof(f830,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_83 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f6508,plain,
    ( spl6_346
    | ~ spl6_54
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f865,f829,f557,f6506]) ).

fof(f6506,plain,
    ( spl6_346
  <=> ! [X29,X27,X28,X26] :
        ( sdtasdt0(sdtasdt0(X26,X27),sK4(X28,X29)) = sdtasdt0(X26,sdtasdt0(X27,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).

fof(f865,plain,
    ( ! [X28,X29,X26,X27] :
        ( sdtasdt0(sdtasdt0(X26,X27),sK4(X28,X29)) = sdtasdt0(X26,sdtasdt0(X27,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) )
    | ~ spl6_54
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f558]) ).

fof(f6504,plain,
    ( spl6_345
    | ~ spl6_55
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f854,f825,f561,f6502]) ).

fof(f6502,plain,
    ( spl6_345
  <=> ! [X31,X33,X30,X32] :
        ( sdtpldt0(sdtpldt0(X30,X31),sK5(X32,X33)) = sdtpldt0(X30,sdtpldt0(X31,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).

fof(f825,plain,
    ( spl6_82
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).

fof(f854,plain,
    ( ! [X31,X32,X30,X33] :
        ( sdtpldt0(sdtpldt0(X30,X31),sK5(X32,X33)) = sdtpldt0(X30,sdtpldt0(X31,sK5(X32,X33)))
        | ~ aNaturalNumber0(X31)
        | ~ aNaturalNumber0(X30)
        | ~ sdtlseqdt0(X32,X33)
        | ~ aNaturalNumber0(X33)
        | ~ aNaturalNumber0(X32) )
    | ~ spl6_55
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f562]) ).

fof(f826,plain,
    ( ! [X2,X0,X1] :
        ( ~ aNaturalNumber0(X2)
        | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_82 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f6500,plain,
    ( spl6_344
    | ~ spl6_54
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f853,f825,f557,f6498]) ).

fof(f6498,plain,
    ( spl6_344
  <=> ! [X29,X27,X28,X26] :
        ( sdtpldt0(sdtpldt0(X26,X27),sK4(X28,X29)) = sdtpldt0(X26,sdtpldt0(X27,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).

fof(f853,plain,
    ( ! [X28,X29,X26,X27] :
        ( sdtpldt0(sdtpldt0(X26,X27),sK4(X28,X29)) = sdtpldt0(X26,sdtpldt0(X27,sK4(X28,X29)))
        | ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ doDivides0(X28,X29)
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X28) )
    | ~ spl6_54
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f558]) ).

fof(f6463,plain,
    ( ~ spl6_2
    | ~ spl6_230
    | spl6_293
    | spl6_343
    | ~ spl6_23
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f987,f981,f361,f6461,f5088,f3198,f251]) ).

fof(f6461,plain,
    ( spl6_343
  <=> ! [X6] :
        ( ~ aNaturalNumber0(X6)
        | sdtasdt0(X6,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X6,sdtasdt0(xn,xm)),xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).

fof(f361,plain,
    ( spl6_23
  <=> doDivides0(xr,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).

fof(f987,plain,
    ( ! [X6] :
        ( ~ aNaturalNumber0(X6)
        | sdtasdt0(X6,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X6,sdtasdt0(xn,xm)),xr)
        | sz00 = xr
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xr) )
    | ~ spl6_23
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f363]) ).

fof(f363,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    | ~ spl6_23 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f6423,plain,
    ( spl6_342
    | ~ spl6_37
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4690,f1967,f428,f6420]) ).

fof(f4690,plain,
    ( sz00 = sdtasdt0(xk,sz00)
    | ~ spl6_37
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f429]) ).

fof(f6310,plain,
    ( spl6_341
    | ~ spl6_45
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f942,f909,f497,f6308]) ).

fof(f6308,plain,
    ( spl6_341
  <=> ! [X10,X11,X9,X8] :
        ( sdtasdt0(sdtpldt0(X8,sdtasdt0(X9,X10)),X11) = sdtpldt0(sdtasdt0(X8,X11),sdtasdt0(sdtasdt0(X9,X10),X11))
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).

fof(f497,plain,
    ( spl6_45
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).

fof(f942,plain,
    ( ! [X10,X11,X8,X9] :
        ( sdtasdt0(sdtpldt0(X8,sdtasdt0(X9,X10)),X11) = sdtpldt0(sdtasdt0(X8,X11),sdtasdt0(sdtasdt0(X9,X10),X11))
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X9) )
    | ~ spl6_45
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f498]) ).

fof(f498,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_45 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f6306,plain,
    ( spl6_340
    | ~ spl6_44
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f941,f909,f493,f6304]) ).

fof(f6304,plain,
    ( spl6_340
  <=> ! [X5,X4,X7,X6] :
        ( sdtasdt0(sdtpldt0(X4,sdtpldt0(X5,X6)),X7) = sdtpldt0(sdtasdt0(X4,X7),sdtasdt0(sdtpldt0(X5,X6),X7))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).

fof(f493,plain,
    ( spl6_44
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).

fof(f941,plain,
    ( ! [X6,X7,X4,X5] :
        ( sdtasdt0(sdtpldt0(X4,sdtpldt0(X5,X6)),X7) = sdtpldt0(sdtasdt0(X4,X7),sdtasdt0(sdtpldt0(X5,X6),X7))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X5) )
    | ~ spl6_44
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f494]) ).

fof(f494,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_44 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f6302,plain,
    ( spl6_339
    | ~ spl6_45
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f930,f905,f497,f6300]) ).

fof(f6300,plain,
    ( spl6_339
  <=> ! [X10,X11,X9,X8] :
        ( sdtasdt0(X8,sdtpldt0(X9,sdtasdt0(X10,X11))) = sdtpldt0(sdtasdt0(X8,X9),sdtasdt0(X8,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).

fof(f930,plain,
    ( ! [X10,X11,X8,X9] :
        ( sdtasdt0(X8,sdtpldt0(X9,sdtasdt0(X10,X11))) = sdtpldt0(sdtasdt0(X8,X9),sdtasdt0(X8,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_45
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f498]) ).

fof(f6298,plain,
    ( spl6_338
    | ~ spl6_44
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f929,f905,f493,f6296]) ).

fof(f6296,plain,
    ( spl6_338
  <=> ! [X5,X4,X7,X6] :
        ( sdtasdt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7))) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).

fof(f929,plain,
    ( ! [X6,X7,X4,X5] :
        ( sdtasdt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7))) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_44
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f494]) ).

fof(f6292,plain,
    ( spl6_337
    | ~ spl6_50
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f864,f829,f541,f6290]) ).

fof(f6290,plain,
    ( spl6_337
  <=> ! [X25,X24,X23] :
        ( sdtasdt0(sdtasdt0(X23,X24),sK3(X25)) = sdtasdt0(X23,sdtasdt0(X24,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).

fof(f864,plain,
    ( ! [X24,X25,X23] :
        ( sdtasdt0(sdtasdt0(X23,X24),sK3(X25)) = sdtasdt0(X23,sdtasdt0(X24,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) )
    | ~ spl6_50
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f542]) ).

fof(f6288,plain,
    ( spl6_336
    | ~ spl6_49
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f863,f829,f537,f6286]) ).

fof(f6286,plain,
    ( spl6_336
  <=> ! [X22,X20,X21] :
        ( sdtasdt0(sdtasdt0(X20,X21),sK2(X22)) = sdtasdt0(X20,sdtasdt0(X21,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).

fof(f863,plain,
    ( ! [X21,X22,X20] :
        ( sdtasdt0(sdtasdt0(X20,X21),sK2(X22)) = sdtasdt0(X20,sdtasdt0(X21,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 )
    | ~ spl6_49
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f538]) ).

fof(f6284,plain,
    ( spl6_335
    | ~ spl6_50
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f852,f825,f541,f6282]) ).

fof(f6282,plain,
    ( spl6_335
  <=> ! [X25,X24,X23] :
        ( sdtpldt0(sdtpldt0(X23,X24),sK3(X25)) = sdtpldt0(X23,sdtpldt0(X24,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).

fof(f852,plain,
    ( ! [X24,X25,X23] :
        ( sdtpldt0(sdtpldt0(X23,X24),sK3(X25)) = sdtpldt0(X23,sdtpldt0(X24,sK3(X25)))
        | ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | sz10 = X25
        | sz00 = X25
        | ~ aNaturalNumber0(X25) )
    | ~ spl6_50
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f542]) ).

fof(f6280,plain,
    ( spl6_334
    | ~ spl6_49
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f851,f825,f537,f6278]) ).

fof(f6278,plain,
    ( spl6_334
  <=> ! [X22,X20,X21] :
        ( sdtpldt0(sdtpldt0(X20,X21),sK2(X22)) = sdtpldt0(X20,sdtpldt0(X21,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).

fof(f851,plain,
    ( ! [X21,X22,X20] :
        ( sdtpldt0(sdtpldt0(X20,X21),sK2(X22)) = sdtpldt0(X20,sdtpldt0(X21,sK2(X22)))
        | ~ aNaturalNumber0(X21)
        | ~ aNaturalNumber0(X20)
        | sP0(X22)
        | sz10 = X22
        | sz00 = X22 )
    | ~ spl6_49
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f538]) ).

fof(f6250,plain,
    ( spl6_333
    | ~ spl6_63
    | ~ spl6_84 ),
    inference(avatar_split_clause,[],[f871,f833,f651,f6248]) ).

fof(f6248,plain,
    ( spl6_333
  <=> ! [X12,X11,X10] :
        ( ~ doDivides0(X10,X11)
        | ~ doDivides0(X10,X12)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X10)
        | sz10 = X10
        | sdtpldt0(X12,X11) = X10
        | ~ sP0(sdtpldt0(X12,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).

fof(f651,plain,
    ( spl6_63
  <=> ! [X2,X0] :
        ( X0 = X2
        | sz10 = X2
        | ~ doDivides0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).

fof(f871,plain,
    ( ! [X10,X11,X12] :
        ( ~ doDivides0(X10,X11)
        | ~ doDivides0(X10,X12)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X10)
        | sz10 = X10
        | sdtpldt0(X12,X11) = X10
        | ~ sP0(sdtpldt0(X12,X11)) )
    | ~ spl6_63
    | ~ spl6_84 ),
    inference(duplicate_literal_removal,[],[f870]) ).

fof(f870,plain,
    ( ! [X10,X11,X12] :
        ( ~ doDivides0(X10,X11)
        | ~ doDivides0(X10,X12)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X10)
        | sz10 = X10
        | sdtpldt0(X12,X11) = X10
        | ~ aNaturalNumber0(X10)
        | ~ sP0(sdtpldt0(X12,X11)) )
    | ~ spl6_63
    | ~ spl6_84 ),
    inference(resolution,[],[f834,f652]) ).

fof(f652,plain,
    ( ! [X2,X0] :
        ( ~ doDivides0(X2,X0)
        | sz10 = X2
        | X0 = X2
        | ~ aNaturalNumber0(X2)
        | ~ sP0(X0) )
    | ~ spl6_63 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f6245,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_273
    | ~ spl6_22
    | spl6_332
    | ~ spl6_31
    | ~ spl6_94 ),
    inference(avatar_split_clause,[],[f955,f952,f398,f6243,f356,f4162,f3198,f271]) ).

fof(f4162,plain,
    ( spl6_273
  <=> sz00 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).

fof(f952,plain,
    ( spl6_94
  <=> ! [X2,X0,X1] :
        ( sdtasdt0(X0,X2) = X1
        | sdtsldt0(X1,X0) != X2
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).

fof(f955,plain,
    ( ! [X0] :
        ( xk != X0
        | sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        | ~ doDivides0(xp,sdtasdt0(xn,xm))
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xp) )
    | ~ spl6_31
    | ~ spl6_94 ),
    inference(superposition,[],[f953,f400]) ).

fof(f953,plain,
    ( ! [X2,X0,X1] :
        ( sdtsldt0(X1,X0) != X2
        | sdtasdt0(X0,X2) = X1
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_94 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f6123,plain,
    ( spl6_331
    | ~ spl6_95 ),
    inference(avatar_split_clause,[],[f971,f958,f6121]) ).

fof(f6121,plain,
    ( spl6_331
  <=> ! [X0,X1] :
        ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ doDivides0(X0,sdtasdt0(X0,X1))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).

fof(f958,plain,
    ( spl6_95
  <=> ! [X2,X0,X1] :
        ( sdtsldt0(X1,X0) = X2
        | sdtasdt0(X0,X2) != X1
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).

fof(f971,plain,
    ( ! [X0,X1] :
        ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ doDivides0(X0,sdtasdt0(X0,X1))
        | sz00 = X0
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_95 ),
    inference(equality_resolution,[],[f959]) ).

fof(f959,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,X2) != X1
        | sdtsldt0(X1,X0) = X2
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_95 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f6119,plain,
    ( spl6_330
    | ~ spl6_45
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f858,f829,f497,f6117]) ).

fof(f6117,plain,
    ( spl6_330
  <=> ! [X10,X11,X9,X8] :
        ( sdtasdt0(sdtasdt0(X8,X9),sdtasdt0(X10,X11)) = sdtasdt0(X8,sdtasdt0(X9,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).

fof(f858,plain,
    ( ! [X10,X11,X8,X9] :
        ( sdtasdt0(sdtasdt0(X8,X9),sdtasdt0(X10,X11)) = sdtasdt0(X8,sdtasdt0(X9,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_45
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f498]) ).

fof(f6115,plain,
    ( spl6_329
    | ~ spl6_44
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f857,f829,f493,f6113]) ).

fof(f6113,plain,
    ( spl6_329
  <=> ! [X5,X4,X7,X6] :
        ( sdtasdt0(sdtasdt0(X4,X5),sdtpldt0(X6,X7)) = sdtasdt0(X4,sdtasdt0(X5,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).

fof(f857,plain,
    ( ! [X6,X7,X4,X5] :
        ( sdtasdt0(sdtasdt0(X4,X5),sdtpldt0(X6,X7)) = sdtasdt0(X4,sdtasdt0(X5,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_44
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f494]) ).

fof(f6111,plain,
    ( spl6_328
    | ~ spl6_45
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f846,f825,f497,f6109]) ).

fof(f6109,plain,
    ( spl6_328
  <=> ! [X10,X11,X9,X8] :
        ( sdtpldt0(sdtpldt0(X8,X9),sdtasdt0(X10,X11)) = sdtpldt0(X8,sdtpldt0(X9,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).

fof(f846,plain,
    ( ! [X10,X11,X8,X9] :
        ( sdtpldt0(sdtpldt0(X8,X9),sdtasdt0(X10,X11)) = sdtpldt0(X8,sdtpldt0(X9,sdtasdt0(X10,X11)))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_45
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f498]) ).

fof(f6107,plain,
    ( spl6_327
    | ~ spl6_44
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f845,f825,f493,f6105]) ).

fof(f6105,plain,
    ( spl6_327
  <=> ! [X5,X4,X7,X6] :
        ( sdtpldt0(sdtpldt0(X4,X5),sdtpldt0(X6,X7)) = sdtpldt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).

fof(f845,plain,
    ( ! [X6,X7,X4,X5] :
        ( sdtpldt0(sdtpldt0(X4,X5),sdtpldt0(X6,X7)) = sdtpldt0(X4,sdtpldt0(X5,sdtpldt0(X6,X7)))
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_44
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f494]) ).

fof(f6083,plain,
    ( spl6_326
    | ~ spl6_309
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_71
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f5614,f1967,f1727,f1723,f728,f418,f271,f4776,f5617,f6080]) ).

fof(f6080,plain,
    ( spl6_326
  <=> sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xk,xp))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).

fof(f5614,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ aNaturalNumber0(sdtasdt0(xk,xp))
    | sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xk,xp)))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_71
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5613,f1806]) ).

fof(f5613,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xk,xp))
    | sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xk,xp)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_71
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5612,f4256]) ).

fof(f5612,plain,
    ( sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xm,xp),sK5(sdtasdt0(xm,xp),sdtasdt0(xk,xp)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_71
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5611,f1806]) ).

fof(f5611,plain,
    ( sdtasdt0(xk,xp) = sdtpldt0(sdtasdt0(xp,xm),sK5(sdtasdt0(xp,xm),sdtasdt0(xk,xp)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_35
    | ~ spl6_71
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f749,f4256]) ).

fof(f749,plain,
    ( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK5(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_35
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f420]) ).

fof(f6078,plain,
    ( spl6_325
    | ~ spl6_21
    | ~ spl6_309 ),
    inference(avatar_split_clause,[],[f5621,f5617,f346,f6075]) ).

fof(f6075,plain,
    ( spl6_325
  <=> sP1(sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).

fof(f346,plain,
    ( spl6_21
  <=> ! [X0] :
        ( sP1(X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).

fof(f5621,plain,
    ( sP1(sdtasdt0(xk,xp))
    | ~ spl6_21
    | ~ spl6_309 ),
    inference(resolution,[],[f5619,f347]) ).

fof(f347,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sP1(X0) )
    | ~ spl6_21 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f6053,plain,
    ( ~ spl6_230
    | spl6_324
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_71
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f3231,f1723,f728,f408,f271,f4776,f6050,f3198]) ).

fof(f6050,plain,
    ( spl6_324
  <=> sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xm,xp))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).

fof(f3231,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xm,xp)))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_71
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3230,f1806]) ).

fof(f3230,plain,
    ( sdtasdt0(xm,xp) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xm,xp)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_71
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f748,f1806]) ).

fof(f748,plain,
    ( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK5(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_33
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f410]) ).

fof(f6001,plain,
    ( spl6_323
    | ~ spl6_56
    | ~ spl6_75 ),
    inference(avatar_split_clause,[],[f780,f770,f619,f5999]) ).

fof(f5999,plain,
    ( spl6_323
  <=> ! [X4,X3] :
        ( doDivides0(X3,X4)
        | ~ doDivides0(X3,sK2(X4))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(sK2(X4))
        | ~ aNaturalNumber0(X3)
        | sP0(X4)
        | sz10 = X4
        | sz00 = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).

fof(f780,plain,
    ( ! [X3,X4] :
        ( doDivides0(X3,X4)
        | ~ doDivides0(X3,sK2(X4))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(sK2(X4))
        | ~ aNaturalNumber0(X3)
        | sP0(X4)
        | sz10 = X4
        | sz00 = X4 )
    | ~ spl6_56
    | ~ spl6_75 ),
    inference(resolution,[],[f771,f620]) ).

fof(f5991,plain,
    ( spl6_320
    | ~ spl6_322
    | ~ spl6_286
    | ~ spl6_309
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f5802,f1967,f1727,f1723,f663,f418,f271,f5617,f4776,f5988,f5978]) ).

fof(f5802,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xk,xp))
    | ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xm,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5610,f4256]) ).

fof(f5610,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xm,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5609,f1806]) ).

fof(f5609,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xk,xp),sdtasdt0(xm,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5608,f4256]) ).

fof(f5608,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xm,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5607,f1806]) ).

fof(f5607,plain,
    ( sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5606,f1806]) ).

fof(f5606,plain,
    ( sdtasdt0(xp,xm) = sdtasdt0(xk,xp)
    | ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_35
    | ~ spl6_66
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f700,f4256]) ).

fof(f700,plain,
    ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
    | ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_35
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f420]) ).

fof(f5986,plain,
    ( spl6_321
    | ~ spl6_21
    | ~ spl6_286 ),
    inference(avatar_split_clause,[],[f4873,f4776,f346,f5983]) ).

fof(f5983,plain,
    ( spl6_321
  <=> sP1(sdtasdt0(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).

fof(f4873,plain,
    ( sP1(sdtasdt0(xm,xp))
    | ~ spl6_21
    | ~ spl6_286 ),
    inference(resolution,[],[f4777,f347]) ).

fof(f5981,plain,
    ( spl6_319
    | spl6_320
    | ~ spl6_309
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f5605,f1967,f1727,f1723,f655,f418,f271,f4776,f5617,f5978,f5974]) ).

fof(f5974,plain,
    ( spl6_319
  <=> iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).

fof(f5605,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ aNaturalNumber0(sdtasdt0(xk,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5604,f1806]) ).

fof(f5604,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xk,xp))
    | sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5603,f4256]) ).

fof(f5603,plain,
    ( sdtasdt0(xm,xp) = sdtasdt0(xk,xp)
    | iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5602,f1806]) ).

fof(f5602,plain,
    ( sdtasdt0(xp,xm) = sdtasdt0(xk,xp)
    | iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5601,f4256]) ).

fof(f5601,plain,
    ( iLess0(sdtasdt0(xm,xp),sdtasdt0(xk,xp))
    | sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f5600,f1806]) ).

fof(f5600,plain,
    ( iLess0(sdtasdt0(xp,xm),sdtasdt0(xk,xp))
    | sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_35
    | ~ spl6_64
    | ~ spl6_144
    | ~ spl6_157 ),
    inference(forward_demodulation,[],[f677,f4256]) ).

fof(f677,plain,
    ( iLess0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
    | sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_35
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f420]) ).

fof(f5967,plain,
    ( ~ spl6_230
    | spl6_317
    | ~ spl6_318
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_66
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f3229,f1723,f663,f408,f271,f4776,f5964,f5959,f3198]) ).

fof(f3229,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
    | sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_66
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3228,f1806]) ).

fof(f3228,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
    | sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_66
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3227,f1806]) ).

fof(f3227,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_66
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f699,f1806]) ).

fof(f699,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
    | ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_33
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f410]) ).

fof(f5962,plain,
    ( ~ spl6_230
    | spl6_316
    | spl6_317
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_64
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f3226,f1723,f655,f408,f271,f4776,f5959,f5955,f3198]) ).

fof(f3226,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_64
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3225,f1806]) ).

fof(f3225,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp)
    | iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_64
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3224,f1806]) ).

fof(f3224,plain,
    ( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
    | sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_64
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f676,f1806]) ).

fof(f676,plain,
    ( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
    | sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl6_33
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f410]) ).

fof(f5932,plain,
    ( spl6_315
    | ~ spl6_6
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157
    | ~ spl6_285 ),
    inference(avatar_split_clause,[],[f5817,f4675,f1967,f1727,f1723,f271,f5930]) ).

fof(f5930,plain,
    ( spl6_315
  <=> ! [X14] :
        ( ~ sdtlseqdt0(X14,sdtasdt0(xm,xp))
        | sdtlseqdt0(X14,sdtasdt0(xk,xp))
        | ~ aNaturalNumber0(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).

fof(f4675,plain,
    ( spl6_285
  <=> ! [X14] :
        ( sdtlseqdt0(X14,sdtasdt0(xp,xk))
        | ~ aNaturalNumber0(X14)
        | ~ sdtlseqdt0(X14,sdtasdt0(xp,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).

fof(f5817,plain,
    ( ! [X14] :
        ( ~ sdtlseqdt0(X14,sdtasdt0(xm,xp))
        | sdtlseqdt0(X14,sdtasdt0(xk,xp))
        | ~ aNaturalNumber0(X14) )
    | ~ spl6_6
    | ~ spl6_143
    | ~ spl6_144
    | ~ spl6_157
    | ~ spl6_285 ),
    inference(forward_demodulation,[],[f5816,f1806]) ).

fof(f5816,plain,
    ( ! [X14] :
        ( sdtlseqdt0(X14,sdtasdt0(xk,xp))
        | ~ aNaturalNumber0(X14)
        | ~ sdtlseqdt0(X14,sdtasdt0(xp,xm)) )
    | ~ spl6_144
    | ~ spl6_157
    | ~ spl6_285 ),
    inference(forward_demodulation,[],[f4676,f4256]) ).

fof(f4676,plain,
    ( ! [X14] :
        ( sdtlseqdt0(X14,sdtasdt0(xp,xk))
        | ~ aNaturalNumber0(X14)
        | ~ sdtlseqdt0(X14,sdtasdt0(xp,xm)) )
    | ~ spl6_285 ),
    inference(avatar_component_clause,[],[f4675]) ).

fof(f5785,plain,
    ( ~ spl6_5
    | ~ spl6_6
    | ~ spl6_45
    | spl6_286 ),
    inference(avatar_split_clause,[],[f4780,f4776,f497,f271,f266]) ).

fof(f4780,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_45
    | spl6_286 ),
    inference(resolution,[],[f4778,f498]) ).

fof(f4778,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | spl6_286 ),
    inference(avatar_component_clause,[],[f4776]) ).

fof(f5784,plain,
    ( spl6_314
    | ~ spl6_60
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f755,f728,f637,f5782]) ).

fof(f5782,plain,
    ( spl6_314
  <=> ! [X6,X5] :
        ( sdtasdt0(X5,X6) = sdtpldt0(X5,sK5(X5,sdtasdt0(X5,X6)))
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).

fof(f637,plain,
    ( spl6_60
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).

fof(f755,plain,
    ( ! [X6,X5] :
        ( sdtasdt0(X5,X6) = sdtpldt0(X5,sK5(X5,sdtasdt0(X5,X6)))
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_71 ),
    inference(duplicate_literal_removal,[],[f746]) ).

fof(f746,plain,
    ( ! [X6,X5] :
        ( sdtasdt0(X5,X6) = sdtpldt0(X5,sK5(X5,sdtasdt0(X5,X6)))
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f638]) ).

fof(f638,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_60 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f5780,plain,
    ( spl6_313
    | ~ spl6_56
    | ~ spl6_69 ),
    inference(avatar_split_clause,[],[f739,f720,f619,f5778]) ).

fof(f5778,plain,
    ( spl6_313
  <=> ! [X0] :
        ( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).

fof(f739,plain,
    ( ! [X0] :
        ( sdtasdt0(sK2(X0),sK4(sK2(X0),X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl6_56
    | ~ spl6_69 ),
    inference(resolution,[],[f721,f620]) ).

fof(f5759,plain,
    ( ~ spl6_6
    | ~ spl6_157
    | spl6_312
    | ~ spl6_11
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f792,f774,f296,f5757,f1967,f271]) ).

fof(f296,plain,
    ( spl6_11
  <=> sdtlseqdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f792,plain,
    ( ! [X17] :
        ( sdtlseqdt0(X17,xk)
        | ~ sdtlseqdt0(X17,xp)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X17) )
    | ~ spl6_11
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f298]) ).

fof(f298,plain,
    ( sdtlseqdt0(xp,xk)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f5737,plain,
    ( ~ spl6_6
    | ~ spl6_157
    | spl6_311
    | ~ spl6_11
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f752,f728,f296,f5734,f1967,f271]) ).

fof(f5734,plain,
    ( spl6_311
  <=> xk = sdtpldt0(xp,sK5(xp,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).

fof(f752,plain,
    ( xk = sdtpldt0(xp,sK5(xp,xk))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_11
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f298]) ).

fof(f5728,plain,
    ( ~ spl6_157
    | ~ spl6_6
    | ~ spl6_310
    | spl6_158
    | ~ spl6_11
    | ~ spl6_66 ),
    inference(avatar_split_clause,[],[f703,f663,f296,f1971,f5725,f271,f1967]) ).

fof(f5725,plain,
    ( spl6_310
  <=> sdtlseqdt0(xk,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).

fof(f1971,plain,
    ( spl6_158
  <=> xp = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).

fof(f703,plain,
    ( xp = xk
    | ~ sdtlseqdt0(xk,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_11
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f298]) ).

fof(f5620,plain,
    ( spl6_309
    | ~ spl6_144
    | ~ spl6_157
    | ~ spl6_284 ),
    inference(avatar_split_clause,[],[f5615,f4671,f1967,f1727,f5617]) ).

fof(f4671,plain,
    ( spl6_284
  <=> aNaturalNumber0(sdtasdt0(xp,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).

fof(f5615,plain,
    ( aNaturalNumber0(sdtasdt0(xk,xp))
    | ~ spl6_144
    | ~ spl6_157
    | ~ spl6_284 ),
    inference(forward_demodulation,[],[f4672,f4256]) ).

fof(f4672,plain,
    ( aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ spl6_284 ),
    inference(avatar_component_clause,[],[f4671]) ).

fof(f5595,plain,
    ( ~ spl6_6
    | ~ spl6_157
    | ~ spl6_45
    | spl6_284 ),
    inference(avatar_split_clause,[],[f4774,f4671,f497,f1967,f271]) ).

fof(f4774,plain,
    ( ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_45
    | spl6_284 ),
    inference(resolution,[],[f4673,f498]) ).

fof(f4673,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | spl6_284 ),
    inference(avatar_component_clause,[],[f4671]) ).

fof(f5572,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_273
    | spl6_308
    | ~ spl6_22
    | ~ spl6_31
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f992,f981,f398,f356,f5570,f4162,f3198,f271]) ).

fof(f992,plain,
    ( ! [X4] :
        ( sdtsldt0(sdtasdt0(X4,sdtasdt0(xn,xm)),xp) = sdtasdt0(X4,xk)
        | ~ aNaturalNumber0(X4)
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xp) )
    | ~ spl6_22
    | ~ spl6_31
    | ~ spl6_98 ),
    inference(forward_demodulation,[],[f985,f400]) ).

fof(f985,plain,
    ( ! [X4] :
        ( ~ aNaturalNumber0(X4)
        | sdtasdt0(X4,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X4,sdtasdt0(xn,xm)),xp)
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xp) )
    | ~ spl6_22
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f358]) ).

fof(f5433,plain,
    ( spl6_307
    | ~ spl6_60
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f795,f774,f637,f5431]) ).

fof(f5431,plain,
    ( spl6_307
  <=> ! [X9,X8,X10] :
        ( sdtlseqdt0(X8,sdtasdt0(X9,X10))
        | ~ sdtlseqdt0(X8,X9)
        | ~ aNaturalNumber0(sdtasdt0(X9,X10))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sz00 = X10
        | ~ aNaturalNumber0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).

fof(f795,plain,
    ( ! [X10,X8,X9] :
        ( sdtlseqdt0(X8,sdtasdt0(X9,X10))
        | ~ sdtlseqdt0(X8,X9)
        | ~ aNaturalNumber0(sdtasdt0(X9,X10))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sz00 = X10
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_60
    | ~ spl6_76 ),
    inference(duplicate_literal_removal,[],[f786]) ).

fof(f786,plain,
    ( ! [X10,X8,X9] :
        ( sdtlseqdt0(X8,sdtasdt0(X9,X10))
        | ~ sdtlseqdt0(X8,X9)
        | ~ aNaturalNumber0(sdtasdt0(X9,X10))
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sz00 = X10
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_60
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f638]) ).

fof(f5429,plain,
    ( spl6_306
    | ~ spl6_60
    | ~ spl6_66 ),
    inference(avatar_split_clause,[],[f706,f663,f637,f5427]) ).

fof(f5427,plain,
    ( spl6_306
  <=> ! [X6,X5] :
        ( sdtasdt0(X5,X6) = X5
        | ~ sdtlseqdt0(sdtasdt0(X5,X6),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | sz00 = X6
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).

fof(f706,plain,
    ( ! [X6,X5] :
        ( sdtasdt0(X5,X6) = X5
        | ~ sdtlseqdt0(sdtasdt0(X5,X6),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | sz00 = X6
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_66 ),
    inference(duplicate_literal_removal,[],[f697]) ).

fof(f697,plain,
    ( ! [X6,X5] :
        ( sdtasdt0(X5,X6) = X5
        | ~ sdtlseqdt0(sdtasdt0(X5,X6),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f638]) ).

fof(f5425,plain,
    ( spl6_305
    | ~ spl6_60
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f683,f655,f637,f5423]) ).

fof(f5423,plain,
    ( spl6_305
  <=> ! [X6,X5] :
        ( iLess0(X5,sdtasdt0(X5,X6))
        | sdtasdt0(X5,X6) = X5
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).

fof(f683,plain,
    ( ! [X6,X5] :
        ( iLess0(X5,sdtasdt0(X5,X6))
        | sdtasdt0(X5,X6) = X5
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_64 ),
    inference(duplicate_literal_removal,[],[f674]) ).

fof(f674,plain,
    ( ! [X6,X5] :
        ( iLess0(X5,sdtasdt0(X5,X6))
        | sdtasdt0(X5,X6) = X5
        | ~ aNaturalNumber0(sdtasdt0(X5,X6))
        | ~ aNaturalNumber0(X5)
        | sz00 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_60
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f638]) ).

fof(f5421,plain,
    ( spl6_304
    | ~ spl6_59
    | ~ spl6_63 ),
    inference(avatar_split_clause,[],[f670,f651,f633,f5419]) ).

fof(f5419,plain,
    ( spl6_304
  <=> ! [X1] :
        ( sz10 = sK3(X1)
        | sK3(X1) = X1
        | ~ aNaturalNumber0(sK3(X1))
        | ~ sP0(X1)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).

fof(f670,plain,
    ( ! [X1] :
        ( sz10 = sK3(X1)
        | sK3(X1) = X1
        | ~ aNaturalNumber0(sK3(X1))
        | ~ sP0(X1)
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_59
    | ~ spl6_63 ),
    inference(resolution,[],[f652,f634]) ).

fof(f5271,plain,
    ( spl6_303
    | ~ spl6_89 ),
    inference(avatar_split_clause,[],[f918,f893,f5269]) ).

fof(f5269,plain,
    ( spl6_303
  <=> ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).

fof(f893,plain,
    ( spl6_89
  <=> ! [X2,X0,X1] :
        ( sdtmndt0(X1,X0) = X2
        | sdtpldt0(X0,X2) != X1
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).

fof(f918,plain,
    ( ! [X0,X1] :
        ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1
        | ~ aNaturalNumber0(X1)
        | ~ sdtlseqdt0(X0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_89 ),
    inference(equality_resolution,[],[f894]) ).

fof(f894,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,X2) != X1
        | sdtmndt0(X1,X0) = X2
        | ~ aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_89 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f5267,plain,
    ( spl6_302
    | ~ spl6_59
    | ~ spl6_75 ),
    inference(avatar_split_clause,[],[f782,f770,f633,f5265]) ).

fof(f5265,plain,
    ( spl6_302
  <=> ! [X6,X5] :
        ( doDivides0(X5,X6)
        | ~ doDivides0(X5,sK3(X6))
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(sK3(X6))
        | ~ aNaturalNumber0(X5)
        | sz10 = X6
        | sz00 = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).

fof(f782,plain,
    ( ! [X6,X5] :
        ( doDivides0(X5,X6)
        | ~ doDivides0(X5,sK3(X6))
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(sK3(X6))
        | ~ aNaturalNumber0(X5)
        | sz10 = X6
        | sz00 = X6 )
    | ~ spl6_59
    | ~ spl6_75 ),
    inference(duplicate_literal_removal,[],[f781]) ).

fof(f781,plain,
    ( ! [X6,X5] :
        ( doDivides0(X5,X6)
        | ~ doDivides0(X5,sK3(X6))
        | ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(sK3(X6))
        | ~ aNaturalNumber0(X5)
        | sz10 = X6
        | sz00 = X6
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_59
    | ~ spl6_75 ),
    inference(resolution,[],[f771,f634]) ).

fof(f5176,plain,
    ( spl6_157
    | ~ spl6_274 ),
    inference(avatar_split_clause,[],[f4781,f4166,f1967]) ).

fof(f4166,plain,
    ( spl6_274
  <=> ! [X0] :
        ( xk != X0
        | aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).

fof(f4781,plain,
    ( aNaturalNumber0(xk)
    | ~ spl6_274 ),
    inference(equality_resolution,[],[f4167]) ).

fof(f4167,plain,
    ( ! [X0] :
        ( xk != X0
        | aNaturalNumber0(X0) )
    | ~ spl6_274 ),
    inference(avatar_component_clause,[],[f4166]) ).

fof(f5156,plain,
    ( spl6_301
    | ~ spl6_293
    | ~ spl6_300 ),
    inference(avatar_split_clause,[],[f5152,f5149,f5088,f5154]) ).

fof(f5154,plain,
    ( spl6_301
  <=> ! [X1] :
        ( xr = X1
        | sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).

fof(f5149,plain,
    ( spl6_300
  <=> ! [X1] :
        ( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).

fof(f5152,plain,
    ( ! [X1] :
        ( xr = X1
        | sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1 )
    | ~ spl6_293
    | ~ spl6_300 ),
    inference(forward_demodulation,[],[f5150,f5090]) ).

fof(f5150,plain,
    ( ! [X1] :
        ( ~ aNaturalNumber0(sK3(X1))
        | ~ aNaturalNumber0(X1)
        | sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl6_300 ),
    inference(avatar_component_clause,[],[f5149]) ).

fof(f5151,plain,
    ( spl6_300
    | ~ spl6_59
    | ~ spl6_69 ),
    inference(avatar_split_clause,[],[f741,f720,f633,f5149]) ).

fof(f741,plain,
    ( ! [X1] :
        ( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1
        | sz00 = X1 )
    | ~ spl6_59
    | ~ spl6_69 ),
    inference(duplicate_literal_removal,[],[f740]) ).

fof(f740,plain,
    ( ! [X1] :
        ( sdtasdt0(sK3(X1),sK4(sK3(X1),X1)) = X1
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_59
    | ~ spl6_69 ),
    inference(resolution,[],[f721,f634]) ).

fof(f5147,plain,
    ( spl6_299
    | ~ spl6_53
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f617,f561,f553,f5145]) ).

fof(f5145,plain,
    ( spl6_299
  <=> ! [X18,X17,X19] :
        ( ~ sdtlseqdt0(X17,X18)
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X17)
        | sdtasdt0(X19,sK5(X17,X18)) = sdtasdt0(sK5(X17,X18),X19)
        | ~ aNaturalNumber0(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).

fof(f617,plain,
    ( ! [X18,X19,X17] :
        ( ~ sdtlseqdt0(X17,X18)
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X17)
        | sdtasdt0(X19,sK5(X17,X18)) = sdtasdt0(sK5(X17,X18),X19)
        | ~ aNaturalNumber0(X19) )
    | ~ spl6_53
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f554]) ).

fof(f5143,plain,
    ( spl6_298
    | ~ spl6_52
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f616,f561,f549,f5141]) ).

fof(f5141,plain,
    ( spl6_298
  <=> ! [X16,X14,X15] :
        ( ~ sdtlseqdt0(X14,X15)
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14)
        | sdtpldt0(X16,sK5(X14,X15)) = sdtpldt0(sK5(X14,X15),X16)
        | ~ aNaturalNumber0(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).

fof(f616,plain,
    ( ! [X16,X14,X15] :
        ( ~ sdtlseqdt0(X14,X15)
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14)
        | sdtpldt0(X16,sK5(X14,X15)) = sdtpldt0(sK5(X14,X15),X16)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_52
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f550]) ).

fof(f5139,plain,
    ( spl6_297
    | ~ spl6_53
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f608,f557,f553,f5137]) ).

fof(f5137,plain,
    ( spl6_297
  <=> ! [X18,X17,X19] :
        ( ~ doDivides0(X17,X18)
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X17)
        | sdtasdt0(X19,sK4(X17,X18)) = sdtasdt0(sK4(X17,X18),X19)
        | ~ aNaturalNumber0(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).

fof(f608,plain,
    ( ! [X18,X19,X17] :
        ( ~ doDivides0(X17,X18)
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X17)
        | sdtasdt0(X19,sK4(X17,X18)) = sdtasdt0(sK4(X17,X18),X19)
        | ~ aNaturalNumber0(X19) )
    | ~ spl6_53
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f554]) ).

fof(f5135,plain,
    ( spl6_296
    | ~ spl6_52
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f607,f557,f549,f5133]) ).

fof(f5133,plain,
    ( spl6_296
  <=> ! [X16,X14,X15] :
        ( ~ doDivides0(X14,X15)
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14)
        | sdtpldt0(X16,sK4(X14,X15)) = sdtpldt0(sK4(X14,X15),X16)
        | ~ aNaturalNumber0(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).

fof(f607,plain,
    ( ! [X16,X14,X15] :
        ( ~ doDivides0(X14,X15)
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14)
        | sdtpldt0(X16,sK4(X14,X15)) = sdtpldt0(sK4(X14,X15),X16)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_52
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f550]) ).

fof(f5129,plain,
    ( ~ spl6_230
    | spl6_295
    | ~ spl6_286
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_143 ),
    inference(avatar_split_clause,[],[f3233,f1723,f774,f408,f271,f4776,f5127,f3198]) ).

fof(f3233,plain,
    ( ! [X13] :
        ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
        | sdtlseqdt0(X13,sdtasdt0(xm,xp))
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f3232,f1806]) ).

fof(f3232,plain,
    ( ! [X13] :
        ( sdtlseqdt0(X13,sdtasdt0(xm,xp))
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(sdtasdt0(xp,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_143 ),
    inference(forward_demodulation,[],[f788,f1806]) ).

fof(f788,plain,
    ( ! [X13] :
        ( sdtlseqdt0(X13,sdtasdt0(xp,xm))
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(sdtasdt0(xp,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_33
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f410]) ).

fof(f5094,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_293
    | spl6_294
    | ~ spl6_12
    | ~ spl6_98 ),
    inference(avatar_split_clause,[],[f986,f981,f301,f5092,f5088,f1967,f251]) ).

fof(f301,plain,
    ( spl6_12
  <=> doDivides0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f986,plain,
    ( ! [X5] :
        ( ~ aNaturalNumber0(X5)
        | sdtasdt0(X5,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X5,xk),xr)
        | sz00 = xr
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xr) )
    | ~ spl6_12
    | ~ spl6_98 ),
    inference(resolution,[],[f982,f303]) ).

fof(f303,plain,
    ( doDivides0(xr,xk)
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f5071,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_292
    | ~ spl6_19
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f793,f774,f336,f5069,f1967,f251]) ).

fof(f336,plain,
    ( spl6_19
  <=> sdtlseqdt0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

fof(f793,plain,
    ( ! [X18] :
        ( sdtlseqdt0(X18,xk)
        | ~ sdtlseqdt0(X18,xr)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X18) )
    | ~ spl6_19
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f338]) ).

fof(f338,plain,
    ( sdtlseqdt0(xr,xk)
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f5065,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_291
    | ~ spl6_12
    | ~ spl6_75 ),
    inference(avatar_split_clause,[],[f778,f770,f301,f5063,f1967,f251]) ).

fof(f778,plain,
    ( ! [X1] :
        ( doDivides0(X1,xk)
        | ~ doDivides0(X1,xr)
        | ~ aNaturalNumber0(xk)
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_12
    | ~ spl6_75 ),
    inference(resolution,[],[f771,f303]) ).

fof(f5010,plain,
    ( ~ spl6_135
    | spl6_80
    | ~ spl6_273 ),
    inference(avatar_split_clause,[],[f4174,f4162,f816,f1626]) ).

fof(f1626,plain,
    ( spl6_135
  <=> sP0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).

fof(f4174,plain,
    ( ~ sP0(xp)
    | spl6_80
    | ~ spl6_273 ),
    inference(superposition,[],[f818,f4164]) ).

fof(f4164,plain,
    ( sz00 = xp
    | ~ spl6_273 ),
    inference(avatar_component_clause,[],[f4162]) ).

fof(f4979,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_290
    | ~ spl6_19
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f753,f728,f336,f4976,f1967,f251]) ).

fof(f4976,plain,
    ( spl6_290
  <=> xk = sdtpldt0(xr,sK5(xr,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).

fof(f753,plain,
    ( xk = sdtpldt0(xr,sK5(xr,xk))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_19
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f338]) ).

fof(f4866,plain,
    ( ~ spl6_230
    | ~ spl6_6
    | spl6_289
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_103
    | ~ spl6_143
    | ~ spl6_273 ),
    inference(avatar_split_clause,[],[f4839,f4162,f1723,f1012,f774,f408,f271,f4864,f271,f3198]) ).

fof(f4839,plain,
    ( ! [X13] :
        ( sdtlseqdt0(X13,xp)
        | ~ aNaturalNumber0(xp)
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_103
    | ~ spl6_143
    | ~ spl6_273 ),
    inference(forward_demodulation,[],[f4838,f4176]) ).

fof(f4176,plain,
    ( xp = sdtasdt0(xm,xp)
    | ~ spl6_103
    | ~ spl6_273 ),
    inference(superposition,[],[f1014,f4164]) ).

fof(f4838,plain,
    ( ! [X13] :
        ( ~ aNaturalNumber0(xp)
        | sdtlseqdt0(X13,sdtasdt0(xm,xp))
        | ~ sdtlseqdt0(X13,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_6
    | ~ spl6_33
    | ~ spl6_76
    | ~ spl6_103
    | ~ spl6_143
    | ~ spl6_273 ),
    inference(forward_demodulation,[],[f3233,f4176]) ).

fof(f4827,plain,
    ( spl6_286
    | ~ spl6_6
    | ~ spl6_143
    | ~ spl6_283 ),
    inference(avatar_split_clause,[],[f4796,f4667,f1723,f271,f4776]) ).

fof(f4667,plain,
    ( spl6_283
  <=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).

fof(f4796,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ spl6_6
    | ~ spl6_143
    | ~ spl6_283 ),
    inference(forward_demodulation,[],[f4668,f1806]) ).

fof(f4668,plain,
    ( aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl6_283 ),
    inference(avatar_component_clause,[],[f4667]) ).

fof(f4795,plain,
    ( spl6_288
    | ~ spl6_21
    | ~ spl6_157 ),
    inference(avatar_split_clause,[],[f4237,f1967,f346,f4792]) ).

fof(f4792,plain,
    ( spl6_288
  <=> sP1(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).

fof(f4237,plain,
    ( sP1(xk)
    | ~ spl6_21
    | ~ spl6_157 ),
    inference(resolution,[],[f1968,f347]) ).

fof(f4786,plain,
    ( ~ spl6_157
    | ~ spl6_2
    | ~ spl6_287
    | spl6_153
    | ~ spl6_19
    | ~ spl6_66 ),
    inference(avatar_split_clause,[],[f704,f663,f336,f1948,f4783,f251,f1967]) ).

fof(f4783,plain,
    ( spl6_287
  <=> sdtlseqdt0(xk,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).

fof(f1948,plain,
    ( spl6_153
  <=> xk = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).

fof(f704,plain,
    ( xk = xr
    | ~ sdtlseqdt0(xk,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xk)
    | ~ spl6_19
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f338]) ).

fof(f4779,plain,
    ( ~ spl6_286
    | ~ spl6_6
    | ~ spl6_143
    | spl6_283 ),
    inference(avatar_split_clause,[],[f4678,f4667,f1723,f271,f4776]) ).

fof(f4678,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xp))
    | ~ spl6_6
    | ~ spl6_143
    | spl6_283 ),
    inference(forward_demodulation,[],[f4669,f1806]) ).

fof(f4669,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | spl6_283 ),
    inference(avatar_component_clause,[],[f4667]) ).

fof(f4688,plain,
    ( spl6_157
    | ~ spl6_274 ),
    inference(avatar_split_clause,[],[f4208,f4166,f1967]) ).

fof(f4208,plain,
    ( aNaturalNumber0(xk)
    | ~ spl6_274 ),
    inference(equality_resolution,[],[f4167]) ).

fof(f4680,plain,
    ( ~ spl6_6
    | ~ spl6_6
    | ~ spl6_103
    | ~ spl6_143
    | ~ spl6_273
    | spl6_283 ),
    inference(avatar_split_clause,[],[f4679,f4667,f4162,f1723,f1012,f271,f271]) ).

fof(f4679,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl6_6
    | ~ spl6_103
    | ~ spl6_143
    | ~ spl6_273
    | spl6_283 ),
    inference(forward_demodulation,[],[f4678,f4176]) ).

fof(f4677,plain,
    ( ~ spl6_283
    | ~ spl6_284
    | spl6_285
    | ~ spl6_35
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f789,f774,f418,f4675,f4671,f4667]) ).

fof(f789,plain,
    ( ! [X14] :
        ( sdtlseqdt0(X14,sdtasdt0(xp,xk))
        | ~ sdtlseqdt0(X14,sdtasdt0(xp,xm))
        | ~ aNaturalNumber0(sdtasdt0(xp,xk))
        | ~ aNaturalNumber0(sdtasdt0(xp,xm))
        | ~ aNaturalNumber0(X14) )
    | ~ spl6_35
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f420]) ).

fof(f4505,plain,
    ( spl6_282
    | ~ spl6_1
    | ~ spl6_158 ),
    inference(avatar_split_clause,[],[f4331,f1971,f246,f4502]) ).

fof(f4502,plain,
    ( spl6_282
  <=> isPrime0(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).

fof(f246,plain,
    ( spl6_1
  <=> isPrime0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f4331,plain,
    ( isPrime0(xk)
    | ~ spl6_1
    | ~ spl6_158 ),
    inference(superposition,[],[f248,f1973]) ).

fof(f1973,plain,
    ( xp = xk
    | ~ spl6_158 ),
    inference(avatar_component_clause,[],[f1971]) ).

fof(f248,plain,
    ( isPrime0(xp)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f4464,plain,
    ( spl6_17
    | ~ spl6_158
    | ~ spl6_273 ),
    inference(avatar_split_clause,[],[f4454,f4162,f1971,f326]) ).

fof(f4454,plain,
    ( sz00 = xk
    | ~ spl6_158
    | ~ spl6_273 ),
    inference(forward_demodulation,[],[f4164,f1973]) ).

fof(f4457,plain,
    ( ~ spl6_2
    | ~ spl6_153
    | spl6_157 ),
    inference(avatar_split_clause,[],[f4456,f1967,f1948,f251]) ).

fof(f4456,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ spl6_153
    | spl6_157 ),
    inference(forward_demodulation,[],[f1969,f1950]) ).

fof(f1950,plain,
    ( xk = xr
    | ~ spl6_153 ),
    inference(avatar_component_clause,[],[f1948]) ).

fof(f1969,plain,
    ( ~ aNaturalNumber0(xk)
    | spl6_157 ),
    inference(avatar_component_clause,[],[f1967]) ).

fof(f4387,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_281
    | ~ spl6_12
    | ~ spl6_69 ),
    inference(avatar_split_clause,[],[f737,f720,f301,f4384,f1967,f251]) ).

fof(f4384,plain,
    ( spl6_281
  <=> xk = sdtasdt0(xr,sK4(xr,xk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).

fof(f737,plain,
    ( xk = sdtasdt0(xr,sK4(xr,xk))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_12
    | ~ spl6_69 ),
    inference(resolution,[],[f721,f303]) ).

fof(f4366,plain,
    ( ~ spl6_2
    | ~ spl6_157
    | spl6_153
    | spl6_280
    | ~ spl6_19
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f681,f655,f336,f4363,f1948,f1967,f251]) ).

fof(f4363,plain,
    ( spl6_280
  <=> iLess0(xr,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).

fof(f681,plain,
    ( iLess0(xr,xk)
    | xk = xr
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xr)
    | ~ spl6_19
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f338]) ).

fof(f4236,plain,
    ( spl6_157
    | ~ spl6_274 ),
    inference(avatar_split_clause,[],[f4208,f4166,f1967]) ).

fof(f4220,plain,
    ( spl6_279
    | ~ spl6_50
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f599,f553,f541,f4218]) ).

fof(f4218,plain,
    ( spl6_279
  <=> ! [X14,X15] :
        ( sdtasdt0(X14,sK3(X15)) = sdtasdt0(sK3(X15),X14)
        | ~ aNaturalNumber0(X14)
        | sz10 = X15
        | sz00 = X15
        | ~ aNaturalNumber0(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).

fof(f599,plain,
    ( ! [X14,X15] :
        ( sdtasdt0(X14,sK3(X15)) = sdtasdt0(sK3(X15),X14)
        | ~ aNaturalNumber0(X14)
        | sz10 = X15
        | sz00 = X15
        | ~ aNaturalNumber0(X15) )
    | ~ spl6_50
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f542]) ).

fof(f4216,plain,
    ( spl6_278
    | ~ spl6_49
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f598,f553,f537,f4214]) ).

fof(f4214,plain,
    ( spl6_278
  <=> ! [X13,X12] :
        ( sdtasdt0(X12,sK2(X13)) = sdtasdt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13
        | sz00 = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).

fof(f598,plain,
    ( ! [X12,X13] :
        ( sdtasdt0(X12,sK2(X13)) = sdtasdt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13
        | sz00 = X13 )
    | ~ spl6_49
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f538]) ).

fof(f4212,plain,
    ( spl6_277
    | ~ spl6_50
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f589,f549,f541,f4210]) ).

fof(f4210,plain,
    ( spl6_277
  <=> ! [X14,X15] :
        ( sdtpldt0(X14,sK3(X15)) = sdtpldt0(sK3(X15),X14)
        | ~ aNaturalNumber0(X14)
        | sz10 = X15
        | sz00 = X15
        | ~ aNaturalNumber0(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).

fof(f589,plain,
    ( ! [X14,X15] :
        ( sdtpldt0(X14,sK3(X15)) = sdtpldt0(sK3(X15),X14)
        | ~ aNaturalNumber0(X14)
        | sz10 = X15
        | sz00 = X15
        | ~ aNaturalNumber0(X15) )
    | ~ spl6_50
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f542]) ).

fof(f4207,plain,
    ( spl6_276
    | ~ spl6_273
    | ~ spl6_275 ),
    inference(avatar_split_clause,[],[f4203,f4200,f4162,f4205]) ).

fof(f4205,plain,
    ( spl6_276
  <=> ! [X13,X12] :
        ( xp = X13
        | sdtpldt0(X12,sK2(X13)) = sdtpldt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).

fof(f4200,plain,
    ( spl6_275
  <=> ! [X13,X12] :
        ( sdtpldt0(X12,sK2(X13)) = sdtpldt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13
        | sz00 = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).

fof(f4203,plain,
    ( ! [X12,X13] :
        ( xp = X13
        | sdtpldt0(X12,sK2(X13)) = sdtpldt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13 )
    | ~ spl6_273
    | ~ spl6_275 ),
    inference(forward_demodulation,[],[f4201,f4164]) ).

fof(f4201,plain,
    ( ! [X12,X13] :
        ( ~ aNaturalNumber0(X12)
        | sdtpldt0(X12,sK2(X13)) = sdtpldt0(sK2(X13),X12)
        | sP0(X13)
        | sz10 = X13
        | sz00 = X13 )
    | ~ spl6_275 ),
    inference(avatar_component_clause,[],[f4200]) ).

fof(f4202,plain,
    ( spl6_275
    | ~ spl6_49
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f588,f549,f537,f4200]) ).

fof(f588,plain,
    ( ! [X12,X13] :
        ( sdtpldt0(X12,sK2(X13)) = sdtpldt0(sK2(X13),X12)
        | ~ aNaturalNumber0(X12)
        | sP0(X13)
        | sz10 = X13
        | sz00 = X13 )
    | ~ spl6_49
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f538]) ).

fof(f4168,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_273
    | ~ spl6_22
    | spl6_274
    | ~ spl6_31
    | ~ spl6_81 ),
    inference(avatar_split_clause,[],[f841,f821,f398,f4166,f356,f4162,f3198,f271]) ).

fof(f821,plain,
    ( spl6_81
  <=> ! [X2,X0,X1] :
        ( aNaturalNumber0(X2)
        | sdtsldt0(X1,X0) != X2
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).

fof(f841,plain,
    ( ! [X0] :
        ( xk != X0
        | aNaturalNumber0(X0)
        | ~ doDivides0(xp,sdtasdt0(xn,xm))
        | sz00 = xp
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xp) )
    | ~ spl6_31
    | ~ spl6_81 ),
    inference(superposition,[],[f822,f400]) ).

fof(f822,plain,
    ( ! [X2,X0,X1] :
        ( sdtsldt0(X1,X0) != X2
        | aNaturalNumber0(X2)
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_81 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f4160,plain,
    ( spl6_272
    | ~ spl6_2
    | ~ spl6_140 ),
    inference(avatar_split_clause,[],[f1767,f1711,f251,f4157]) ).

fof(f4157,plain,
    ( spl6_272
  <=> sdtpldt0(xr,xp) = sdtpldt0(xp,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).

fof(f1767,plain,
    ( sdtpldt0(xr,xp) = sdtpldt0(xp,xr)
    | ~ spl6_2
    | ~ spl6_140 ),
    inference(resolution,[],[f1712,f253]) ).

fof(f4139,plain,
    ( ~ spl6_8
    | spl6_271
    | ~ spl6_48
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f794,f774,f533,f4137,f281]) ).

fof(f4137,plain,
    ( spl6_271
  <=> ! [X11,X12] :
        ( sdtlseqdt0(X11,X12)
        | sz00 = X12
        | sz10 = X12
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X12)
        | ~ sdtlseqdt0(X11,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).

fof(f533,plain,
    ( spl6_48
  <=> ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).

fof(f794,plain,
    ( ! [X11,X12] :
        ( sdtlseqdt0(X11,X12)
        | ~ sdtlseqdt0(X11,sz10)
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X11)
        | sz10 = X12
        | sz00 = X12 )
    | ~ spl6_48
    | ~ spl6_76 ),
    inference(duplicate_literal_removal,[],[f787]) ).

fof(f787,plain,
    ( ! [X11,X12] :
        ( sdtlseqdt0(X11,X12)
        | ~ sdtlseqdt0(X11,sz10)
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X11)
        | sz10 = X12
        | sz00 = X12
        | ~ aNaturalNumber0(X12) )
    | ~ spl6_48
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f534]) ).

fof(f534,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz10,X0)
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_48 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f3973,plain,
    ( spl6_270
    | ~ spl6_8
    | ~ spl6_140 ),
    inference(avatar_split_clause,[],[f1761,f1711,f281,f3970]) ).

fof(f3970,plain,
    ( spl6_270
  <=> sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).

fof(f1761,plain,
    ( sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10)
    | ~ spl6_8
    | ~ spl6_140 ),
    inference(resolution,[],[f1712,f283]) ).

fof(f3938,plain,
    ( spl6_269
    | ~ spl6_94 ),
    inference(avatar_split_clause,[],[f956,f952,f3936]) ).

fof(f3936,plain,
    ( spl6_269
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).

fof(f956,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
        | ~ doDivides0(X0,X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_94 ),
    inference(equality_resolution,[],[f953]) ).

fof(f3934,plain,
    ( spl6_268
    | ~ spl6_8
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f940,f909,f281,f3932]) ).

fof(f3932,plain,
    ( spl6_268
  <=> ! [X2,X3] :
        ( sdtasdt0(sdtpldt0(X2,sz10),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(sz10,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).

fof(f940,plain,
    ( ! [X2,X3] :
        ( sdtasdt0(sdtpldt0(X2,sz10),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(sz10,X3))
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_8
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f283]) ).

fof(f3930,plain,
    ( spl6_267
    | ~ spl6_7
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f939,f909,f276,f3928]) ).

fof(f3928,plain,
    ( spl6_267
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).

fof(f939,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_7
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f278]) ).

fof(f3926,plain,
    ( spl6_266
    | ~ spl6_8
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f928,f905,f281,f3924]) ).

fof(f3924,plain,
    ( spl6_266
  <=> ! [X2,X3] :
        ( sdtasdt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).

fof(f928,plain,
    ( ! [X2,X3] :
        ( sdtasdt0(X2,sdtpldt0(X3,sz10)) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl6_8
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f283]) ).

fof(f3922,plain,
    ( spl6_265
    | ~ spl6_7
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f927,f905,f276,f3920]) ).

fof(f3920,plain,
    ( spl6_265
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).

fof(f927,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_7
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f278]) ).

fof(f3903,plain,
    ( ~ spl6_8
    | spl6_264
    | ~ spl6_48
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f754,f728,f533,f3901,f281]) ).

fof(f3901,plain,
    ( spl6_264
  <=> ! [X7] :
        ( sdtpldt0(sz10,sK5(sz10,X7)) = X7
        | sz00 = X7
        | sz10 = X7
        | ~ aNaturalNumber0(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).

fof(f754,plain,
    ( ! [X7] :
        ( sdtpldt0(sz10,sK5(sz10,X7)) = X7
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X7
        | sz00 = X7 )
    | ~ spl6_48
    | ~ spl6_71 ),
    inference(duplicate_literal_removal,[],[f747]) ).

fof(f747,plain,
    ( ! [X7] :
        ( sdtpldt0(sz10,sK5(sz10,X7)) = X7
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X7
        | sz00 = X7
        | ~ aNaturalNumber0(X7) )
    | ~ spl6_48
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f534]) ).

fof(f3899,plain,
    ( spl6_263
    | ~ spl6_56
    | ~ spl6_65 ),
    inference(avatar_split_clause,[],[f693,f659,f619,f3897]) ).

fof(f3897,plain,
    ( spl6_263
  <=> ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK2(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).

fof(f693,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK2(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0 )
    | ~ spl6_56
    | ~ spl6_65 ),
    inference(duplicate_literal_removal,[],[f690]) ).

fof(f690,plain,
    ( ! [X0] :
        ( sz00 = X0
        | sdtlseqdt0(sK2(X0),X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK2(X0))
        | sP0(X0)
        | sz10 = X0
        | sz00 = X0 )
    | ~ spl6_56
    | ~ spl6_65 ),
    inference(resolution,[],[f660,f620]) ).

fof(f3895,plain,
    ( spl6_262
    | ~ spl6_2
    | ~ spl6_139 ),
    inference(avatar_split_clause,[],[f1754,f1707,f251,f3892]) ).

fof(f3892,plain,
    ( spl6_262
  <=> sdtpldt0(xr,xm) = sdtpldt0(xm,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).

fof(f1754,plain,
    ( sdtpldt0(xr,xm) = sdtpldt0(xm,xr)
    | ~ spl6_2
    | ~ spl6_139 ),
    inference(resolution,[],[f1708,f253]) ).

fof(f3890,plain,
    ( spl6_261
    | ~ spl6_45
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f593,f553,f497,f3888]) ).

fof(f3888,plain,
    ( spl6_261
  <=> ! [X6,X5,X7] :
        ( sdtasdt0(X5,sdtasdt0(X6,X7)) = sdtasdt0(sdtasdt0(X6,X7),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).

fof(f593,plain,
    ( ! [X6,X7,X5] :
        ( sdtasdt0(X5,sdtasdt0(X6,X7)) = sdtasdt0(sdtasdt0(X6,X7),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_45
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f498]) ).

fof(f3886,plain,
    ( spl6_260
    | ~ spl6_44
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f592,f553,f493,f3884]) ).

fof(f3884,plain,
    ( spl6_260
  <=> ! [X2,X3,X4] :
        ( sdtasdt0(X2,sdtpldt0(X3,X4)) = sdtasdt0(sdtpldt0(X3,X4),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).

fof(f592,plain,
    ( ! [X2,X3,X4] :
        ( sdtasdt0(X2,sdtpldt0(X3,X4)) = sdtasdt0(sdtpldt0(X3,X4),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_44
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f494]) ).

fof(f3882,plain,
    ( spl6_259
    | ~ spl6_45
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f583,f549,f497,f3880]) ).

fof(f3880,plain,
    ( spl6_259
  <=> ! [X6,X5,X7] :
        ( sdtpldt0(X5,sdtasdt0(X6,X7)) = sdtpldt0(sdtasdt0(X6,X7),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).

fof(f583,plain,
    ( ! [X6,X7,X5] :
        ( sdtpldt0(X5,sdtasdt0(X6,X7)) = sdtpldt0(sdtasdt0(X6,X7),X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6) )
    | ~ spl6_45
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f498]) ).

fof(f3878,plain,
    ( spl6_258
    | ~ spl6_44
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f582,f549,f493,f3876]) ).

fof(f3876,plain,
    ( spl6_258
  <=> ! [X2,X3,X4] :
        ( sdtpldt0(X2,sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(X3,X4),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).

fof(f582,plain,
    ( ! [X2,X3,X4] :
        ( sdtpldt0(X2,sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(X3,X4),X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X3) )
    | ~ spl6_44
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f494]) ).

fof(f3761,plain,
    ( spl6_257
    | ~ spl6_6
    | ~ spl6_139 ),
    inference(avatar_split_clause,[],[f1753,f1707,f271,f3758]) ).

fof(f3758,plain,
    ( spl6_257
  <=> sdtpldt0(xp,xm) = sdtpldt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).

fof(f1753,plain,
    ( sdtpldt0(xp,xm) = sdtpldt0(xm,xp)
    | ~ spl6_6
    | ~ spl6_139 ),
    inference(resolution,[],[f1708,f273]) ).

fof(f3717,plain,
    ( spl6_256
    | ~ spl6_2
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f946,f909,f251,f3715]) ).

fof(f3715,plain,
    ( spl6_256
  <=> ! [X18,X19] :
        ( sdtasdt0(sdtpldt0(X18,xr),X19) = sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(xr,X19))
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).

fof(f946,plain,
    ( ! [X18,X19] :
        ( sdtasdt0(sdtpldt0(X18,xr),X19) = sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(xr,X19))
        | ~ aNaturalNumber0(X18)
        | ~ aNaturalNumber0(X19) )
    | ~ spl6_2
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f253]) ).

fof(f3713,plain,
    ( spl6_255
    | ~ spl6_6
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f945,f909,f271,f3711]) ).

fof(f3711,plain,
    ( spl6_255
  <=> ! [X16,X17] :
        ( sdtasdt0(sdtpldt0(X16,xp),X17) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(xp,X17))
        | ~ aNaturalNumber0(X16)
        | ~ aNaturalNumber0(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).

fof(f945,plain,
    ( ! [X16,X17] :
        ( sdtasdt0(sdtpldt0(X16,xp),X17) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(xp,X17))
        | ~ aNaturalNumber0(X16)
        | ~ aNaturalNumber0(X17) )
    | ~ spl6_6
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f273]) ).

fof(f3709,plain,
    ( spl6_254
    | ~ spl6_5
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f944,f909,f266,f3707]) ).

fof(f3707,plain,
    ( spl6_254
  <=> ! [X14,X15] :
        ( sdtasdt0(sdtpldt0(X14,xm),X15) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(xm,X15))
        | ~ aNaturalNumber0(X14)
        | ~ aNaturalNumber0(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).

fof(f944,plain,
    ( ! [X14,X15] :
        ( sdtasdt0(sdtpldt0(X14,xm),X15) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(xm,X15))
        | ~ aNaturalNumber0(X14)
        | ~ aNaturalNumber0(X15) )
    | ~ spl6_5
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f268]) ).

fof(f3705,plain,
    ( spl6_253
    | ~ spl6_4
    | ~ spl6_93 ),
    inference(avatar_split_clause,[],[f943,f909,f261,f3703]) ).

fof(f3703,plain,
    ( spl6_253
  <=> ! [X13,X12] :
        ( sdtasdt0(sdtpldt0(X12,xn),X13) = sdtpldt0(sdtasdt0(X12,X13),sdtasdt0(xn,X13))
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).

fof(f943,plain,
    ( ! [X12,X13] :
        ( sdtasdt0(sdtpldt0(X12,xn),X13) = sdtpldt0(sdtasdt0(X12,X13),sdtasdt0(xn,X13))
        | ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13) )
    | ~ spl6_4
    | ~ spl6_93 ),
    inference(resolution,[],[f910,f263]) ).

fof(f3701,plain,
    ( spl6_252
    | ~ spl6_2
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f934,f905,f251,f3699]) ).

fof(f3699,plain,
    ( spl6_252
  <=> ! [X18,X19] :
        ( sdtasdt0(X18,sdtpldt0(X19,xr)) = sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(X18,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).

fof(f934,plain,
    ( ! [X18,X19] :
        ( sdtasdt0(X18,sdtpldt0(X19,xr)) = sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(X18,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) )
    | ~ spl6_2
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f253]) ).

fof(f3697,plain,
    ( spl6_251
    | ~ spl6_6
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f933,f905,f271,f3695]) ).

fof(f3695,plain,
    ( spl6_251
  <=> ! [X16,X17] :
        ( sdtasdt0(X16,sdtpldt0(X17,xp)) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(X16,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).

fof(f933,plain,
    ( ! [X16,X17] :
        ( sdtasdt0(X16,sdtpldt0(X17,xp)) = sdtpldt0(sdtasdt0(X16,X17),sdtasdt0(X16,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_6
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f273]) ).

fof(f3693,plain,
    ( spl6_250
    | ~ spl6_5
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f932,f905,f266,f3691]) ).

fof(f3691,plain,
    ( spl6_250
  <=> ! [X14,X15] :
        ( sdtasdt0(X14,sdtpldt0(X15,xm)) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(X14,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).

fof(f932,plain,
    ( ! [X14,X15] :
        ( sdtasdt0(X14,sdtpldt0(X15,xm)) = sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(X14,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) )
    | ~ spl6_5
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f268]) ).

fof(f3689,plain,
    ( spl6_249
    | ~ spl6_4
    | ~ spl6_92 ),
    inference(avatar_split_clause,[],[f931,f905,f261,f3687]) ).

fof(f3687,plain,
    ( spl6_249
  <=> ! [X13,X12] :
        ( sdtasdt0(X12,sdtpldt0(X13,xn)) = sdtpldt0(sdtasdt0(X12,X13),sdtasdt0(X12,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).

fof(f931,plain,
    ( ! [X12,X13] :
        ( sdtasdt0(X12,sdtpldt0(X13,xn)) = sdtpldt0(sdtasdt0(X12,X13),sdtasdt0(X12,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) )
    | ~ spl6_4
    | ~ spl6_92 ),
    inference(resolution,[],[f906,f263]) ).

fof(f3685,plain,
    ( spl6_248
    | ~ spl6_8
    | ~ spl6_139 ),
    inference(avatar_split_clause,[],[f1748,f1707,f281,f3682]) ).

fof(f3682,plain,
    ( spl6_248
  <=> sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).

fof(f1748,plain,
    ( sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10)
    | ~ spl6_8
    | ~ spl6_139 ),
    inference(resolution,[],[f1708,f283]) ).

fof(f3665,plain,
    ( ~ spl6_2
    | ~ spl6_230
    | spl6_247
    | ~ spl6_23
    | ~ spl6_69 ),
    inference(avatar_split_clause,[],[f738,f720,f361,f3662,f3198,f251]) ).

fof(f3662,plain,
    ( spl6_247
  <=> sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).

fof(f738,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK4(xr,sdtasdt0(xn,xm)))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl6_23
    | ~ spl6_69 ),
    inference(resolution,[],[f721,f363]) ).

fof(f3645,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_246
    | ~ spl6_22
    | ~ spl6_69 ),
    inference(avatar_split_clause,[],[f736,f720,f356,f3642,f3198,f271]) ).

fof(f3642,plain,
    ( spl6_246
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).

fof(f736,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK4(xp,sdtasdt0(xn,xm)))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | ~ spl6_22
    | ~ spl6_69 ),
    inference(resolution,[],[f721,f358]) ).

fof(f3430,plain,
    ( spl6_245
    | ~ spl6_42
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f615,f561,f448,f3428]) ).

fof(f3428,plain,
    ( spl6_245
  <=> ! [X13,X12] :
        ( ~ sdtlseqdt0(X12,X13)
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12)
        | sK5(X12,X13) = sdtasdt0(sz10,sK5(X12,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).

fof(f615,plain,
    ( ! [X12,X13] :
        ( ~ sdtlseqdt0(X12,X13)
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12)
        | sK5(X12,X13) = sdtasdt0(sz10,sK5(X12,X13)) )
    | ~ spl6_42
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f449]) ).

fof(f3426,plain,
    ( spl6_244
    | ~ spl6_41
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f614,f561,f444,f3424]) ).

fof(f3424,plain,
    ( spl6_244
  <=> ! [X11,X10] :
        ( ~ sdtlseqdt0(X10,X11)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | sK5(X10,X11) = sdtasdt0(sK5(X10,X11),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).

fof(f614,plain,
    ( ! [X10,X11] :
        ( ~ sdtlseqdt0(X10,X11)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | sK5(X10,X11) = sdtasdt0(sK5(X10,X11),sz10) )
    | ~ spl6_41
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f445]) ).

fof(f3422,plain,
    ( spl6_243
    | ~ spl6_40
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f613,f561,f440,f3420]) ).

fof(f3420,plain,
    ( spl6_243
  <=> ! [X9,X8] :
        ( ~ sdtlseqdt0(X8,X9)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sK5(X8,X9) = sdtpldt0(sz00,sK5(X8,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).

fof(f613,plain,
    ( ! [X8,X9] :
        ( ~ sdtlseqdt0(X8,X9)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sK5(X8,X9) = sdtpldt0(sz00,sK5(X8,X9)) )
    | ~ spl6_40
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f441]) ).

fof(f3418,plain,
    ( spl6_242
    | ~ spl6_39
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f612,f561,f436,f3416]) ).

fof(f3416,plain,
    ( spl6_242
  <=> ! [X6,X7] :
        ( ~ sdtlseqdt0(X6,X7)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | sK5(X6,X7) = sdtpldt0(sK5(X6,X7),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).

fof(f612,plain,
    ( ! [X6,X7] :
        ( ~ sdtlseqdt0(X6,X7)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | sK5(X6,X7) = sdtpldt0(sK5(X6,X7),sz00) )
    | ~ spl6_39
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f437]) ).

fof(f3414,plain,
    ( spl6_241
    | ~ spl6_42
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f606,f557,f448,f3412]) ).

fof(f3412,plain,
    ( spl6_241
  <=> ! [X13,X12] :
        ( ~ doDivides0(X12,X13)
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12)
        | sK4(X12,X13) = sdtasdt0(sz10,sK4(X12,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).

fof(f606,plain,
    ( ! [X12,X13] :
        ( ~ doDivides0(X12,X13)
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12)
        | sK4(X12,X13) = sdtasdt0(sz10,sK4(X12,X13)) )
    | ~ spl6_42
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f449]) ).

fof(f3410,plain,
    ( spl6_240
    | ~ spl6_41
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f605,f557,f444,f3408]) ).

fof(f3408,plain,
    ( spl6_240
  <=> ! [X11,X10] :
        ( ~ doDivides0(X10,X11)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | sK4(X10,X11) = sdtasdt0(sK4(X10,X11),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).

fof(f605,plain,
    ( ! [X10,X11] :
        ( ~ doDivides0(X10,X11)
        | ~ aNaturalNumber0(X11)
        | ~ aNaturalNumber0(X10)
        | sK4(X10,X11) = sdtasdt0(sK4(X10,X11),sz10) )
    | ~ spl6_41
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f445]) ).

fof(f3392,plain,
    ( ~ spl6_2
    | ~ spl6_230
    | spl6_239
    | ~ spl6_23
    | ~ spl6_75 ),
    inference(avatar_split_clause,[],[f779,f770,f361,f3390,f3198,f251]) ).

fof(f3390,plain,
    ( spl6_239
  <=> ! [X2] :
        ( doDivides0(X2,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X2)
        | ~ doDivides0(X2,xr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).

fof(f779,plain,
    ( ! [X2] :
        ( doDivides0(X2,sdtasdt0(xn,xm))
        | ~ doDivides0(X2,xr)
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xr)
        | ~ aNaturalNumber0(X2) )
    | ~ spl6_23
    | ~ spl6_75 ),
    inference(resolution,[],[f771,f363]) ).

fof(f3388,plain,
    ( spl6_238
    | ~ spl6_21
    | ~ spl6_230 ),
    inference(avatar_split_clause,[],[f3234,f3198,f346,f3385]) ).

fof(f3385,plain,
    ( spl6_238
  <=> sP1(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).

fof(f3234,plain,
    ( sP1(sdtasdt0(xn,xm))
    | ~ spl6_21
    | ~ spl6_230 ),
    inference(resolution,[],[f3199,f347]) ).

fof(f3361,plain,
    ( spl6_237
    | ~ spl6_232
    | ~ spl6_236 ),
    inference(avatar_split_clause,[],[f3357,f3354,f3206,f3359]) ).

fof(f3354,plain,
    ( spl6_236
  <=> ! [X0] :
        ( doDivides0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).

fof(f3357,plain,
    ( ! [X0] :
        ( doDivides0(X0,sz00)
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) )
    | ~ spl6_232
    | ~ spl6_236 ),
    inference(forward_demodulation,[],[f3355,f3208]) ).

fof(f3355,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(X0)
        | ~ doDivides0(X0,xp) )
    | ~ spl6_236 ),
    inference(avatar_component_clause,[],[f3354]) ).

fof(f3356,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_236
    | ~ spl6_22
    | ~ spl6_75 ),
    inference(avatar_split_clause,[],[f777,f770,f356,f3354,f3198,f271]) ).

fof(f777,plain,
    ( ! [X0] :
        ( doDivides0(X0,sdtasdt0(xn,xm))
        | ~ doDivides0(X0,xp)
        | ~ aNaturalNumber0(sdtasdt0(xn,xm))
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_22
    | ~ spl6_75 ),
    inference(resolution,[],[f771,f358]) ).

fof(f3317,plain,
    ( ~ spl6_2
    | ~ spl6_230
    | spl6_235
    | spl6_232
    | ~ spl6_23
    | ~ spl6_65 ),
    inference(avatar_split_clause,[],[f689,f659,f361,f3206,f3314,f3198,f251]) ).

fof(f689,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | sdtlseqdt0(xr,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl6_23
    | ~ spl6_65 ),
    inference(resolution,[],[f660,f363]) ).

fof(f3223,plain,
    ( ~ spl6_4
    | ~ spl6_5
    | ~ spl6_45
    | spl6_230 ),
    inference(avatar_split_clause,[],[f3210,f3198,f497,f266,f261]) ).

fof(f3210,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_45
    | spl6_230 ),
    inference(resolution,[],[f3200,f498]) ).

fof(f3200,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl6_230 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f3222,plain,
    ( spl6_234
    | ~ spl6_40
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f604,f557,f440,f3220]) ).

fof(f3220,plain,
    ( spl6_234
  <=> ! [X9,X8] :
        ( ~ doDivides0(X8,X9)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sK4(X8,X9) = sdtpldt0(sz00,sK4(X8,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).

fof(f604,plain,
    ( ! [X8,X9] :
        ( ~ doDivides0(X8,X9)
        | ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | sK4(X8,X9) = sdtpldt0(sz00,sK4(X8,X9)) )
    | ~ spl6_40
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f441]) ).

fof(f3218,plain,
    ( spl6_233
    | ~ spl6_39
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f603,f557,f436,f3216]) ).

fof(f3216,plain,
    ( spl6_233
  <=> ! [X6,X7] :
        ( ~ doDivides0(X6,X7)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | sK4(X6,X7) = sdtpldt0(sK4(X6,X7),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).

fof(f603,plain,
    ( ! [X6,X7] :
        ( ~ doDivides0(X6,X7)
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(X6)
        | sK4(X6,X7) = sdtpldt0(sK4(X6,X7),sz00) )
    | ~ spl6_39
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f437]) ).

fof(f3209,plain,
    ( ~ spl6_6
    | ~ spl6_230
    | spl6_231
    | spl6_232
    | ~ spl6_22
    | ~ spl6_65 ),
    inference(avatar_split_clause,[],[f687,f659,f356,f3206,f3202,f3198,f271]) ).

fof(f687,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | ~ spl6_22
    | ~ spl6_65 ),
    inference(resolution,[],[f660,f358]) ).

fof(f3121,plain,
    ( spl6_229
    | ~ spl6_2
    | ~ spl6_138 ),
    inference(avatar_split_clause,[],[f1741,f1703,f251,f3118]) ).

fof(f3118,plain,
    ( spl6_229
  <=> sdtpldt0(xr,xn) = sdtpldt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).

fof(f1741,plain,
    ( sdtpldt0(xr,xn) = sdtpldt0(xn,xr)
    | ~ spl6_2
    | ~ spl6_138 ),
    inference(resolution,[],[f1704,f253]) ).

fof(f2984,plain,
    ( spl6_228
    | ~ spl6_6
    | ~ spl6_138 ),
    inference(avatar_split_clause,[],[f1740,f1703,f271,f2981]) ).

fof(f2981,plain,
    ( spl6_228
  <=> sdtpldt0(xp,xn) = sdtpldt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).

fof(f1740,plain,
    ( sdtpldt0(xp,xn) = sdtpldt0(xn,xp)
    | ~ spl6_6
    | ~ spl6_138 ),
    inference(resolution,[],[f1704,f273]) ).

fof(f2979,plain,
    ( spl6_227
    | ~ spl6_8
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f856,f829,f281,f2977]) ).

fof(f2977,plain,
    ( spl6_227
  <=> ! [X2,X3] :
        ( sdtasdt0(sdtasdt0(X2,X3),sz10) = sdtasdt0(X2,sdtasdt0(X3,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).

fof(f856,plain,
    ( ! [X2,X3] :
        ( sdtasdt0(sdtasdt0(X2,X3),sz10) = sdtasdt0(X2,sdtasdt0(X3,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl6_8
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f283]) ).

fof(f2975,plain,
    ( spl6_226
    | ~ spl6_7
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f855,f829,f276,f2973]) ).

fof(f2973,plain,
    ( spl6_226
  <=> ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).

fof(f855,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_7
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f278]) ).

fof(f2971,plain,
    ( spl6_225
    | ~ spl6_8
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f844,f825,f281,f2969]) ).

fof(f2969,plain,
    ( spl6_225
  <=> ! [X2,X3] :
        ( sdtpldt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(X2,sdtpldt0(X3,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).

fof(f844,plain,
    ( ! [X2,X3] :
        ( sdtpldt0(sdtpldt0(X2,X3),sz10) = sdtpldt0(X2,sdtpldt0(X3,sz10))
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2) )
    | ~ spl6_8
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f283]) ).

fof(f2967,plain,
    ( spl6_224
    | ~ spl6_7
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f843,f825,f276,f2965]) ).

fof(f2965,plain,
    ( spl6_224
  <=> ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).

fof(f843,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_7
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f278]) ).

fof(f2963,plain,
    ( spl6_223
    | ~ spl6_47
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f797,f774,f519,f2961]) ).

fof(f2961,plain,
    ( spl6_223
  <=> ! [X2,X4,X3] :
        ( sdtlseqdt0(X2,X3)
        | ~ sdtlseqdt0(X2,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).

fof(f519,plain,
    ( spl6_47
  <=> ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).

fof(f797,plain,
    ( ! [X2,X3,X4] :
        ( sdtlseqdt0(X2,X3)
        | ~ sdtlseqdt0(X2,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,X4) )
    | ~ spl6_47
    | ~ spl6_76 ),
    inference(duplicate_literal_removal,[],[f784]) ).

fof(f784,plain,
    ( ! [X2,X3,X4] :
        ( sdtlseqdt0(X2,X3)
        | ~ sdtlseqdt0(X2,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X2)
        | sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
    | ~ spl6_47
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f520]) ).

fof(f520,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_47 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f2959,plain,
    ( spl6_222
    | ~ spl6_59
    | ~ spl6_65 ),
    inference(avatar_split_clause,[],[f692,f659,f633,f2957]) ).

fof(f2957,plain,
    ( spl6_222
  <=> ! [X1] :
        ( sz00 = X1
        | sdtlseqdt0(sK3(X1),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).

fof(f692,plain,
    ( ! [X1] :
        ( sz00 = X1
        | sdtlseqdt0(sK3(X1),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1 )
    | ~ spl6_59
    | ~ spl6_65 ),
    inference(duplicate_literal_removal,[],[f691]) ).

fof(f691,plain,
    ( ! [X1] :
        ( sz00 = X1
        | sdtlseqdt0(sK3(X1),X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sK3(X1))
        | sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_59
    | ~ spl6_65 ),
    inference(resolution,[],[f660,f634]) ).

fof(f2955,plain,
    ( spl6_221
    | ~ spl6_42
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f579,f541,f448,f2953]) ).

fof(f2953,plain,
    ( spl6_221
  <=> ! [X6] :
        ( sz10 = X6
        | sz00 = X6
        | ~ aNaturalNumber0(X6)
        | sK3(X6) = sdtasdt0(sz10,sK3(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).

fof(f579,plain,
    ( ! [X6] :
        ( sz10 = X6
        | sz00 = X6
        | ~ aNaturalNumber0(X6)
        | sK3(X6) = sdtasdt0(sz10,sK3(X6)) )
    | ~ spl6_42
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f449]) ).

fof(f2951,plain,
    ( spl6_220
    | ~ spl6_41
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f578,f541,f444,f2949]) ).

fof(f2949,plain,
    ( spl6_220
  <=> ! [X5] :
        ( sz10 = X5
        | sz00 = X5
        | ~ aNaturalNumber0(X5)
        | sK3(X5) = sdtasdt0(sK3(X5),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).

fof(f578,plain,
    ( ! [X5] :
        ( sz10 = X5
        | sz00 = X5
        | ~ aNaturalNumber0(X5)
        | sK3(X5) = sdtasdt0(sK3(X5),sz10) )
    | ~ spl6_41
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f445]) ).

fof(f2947,plain,
    ( spl6_219
    | ~ spl6_40
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f577,f541,f440,f2945]) ).

fof(f2945,plain,
    ( spl6_219
  <=> ! [X4] :
        ( sz10 = X4
        | sz00 = X4
        | ~ aNaturalNumber0(X4)
        | sK3(X4) = sdtpldt0(sz00,sK3(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).

fof(f577,plain,
    ( ! [X4] :
        ( sz10 = X4
        | sz00 = X4
        | ~ aNaturalNumber0(X4)
        | sK3(X4) = sdtpldt0(sz00,sK3(X4)) )
    | ~ spl6_40
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f441]) ).

fof(f2943,plain,
    ( spl6_218
    | ~ spl6_39
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f576,f541,f436,f2941]) ).

fof(f2941,plain,
    ( spl6_218
  <=> ! [X3] :
        ( sz10 = X3
        | sz00 = X3
        | ~ aNaturalNumber0(X3)
        | sK3(X3) = sdtpldt0(sK3(X3),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).

fof(f576,plain,
    ( ! [X3] :
        ( sz10 = X3
        | sz00 = X3
        | ~ aNaturalNumber0(X3)
        | sK3(X3) = sdtpldt0(sK3(X3),sz00) )
    | ~ spl6_39
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f437]) ).

fof(f2939,plain,
    ( spl6_217
    | ~ spl6_5
    | ~ spl6_138 ),
    inference(avatar_split_clause,[],[f1739,f1703,f266,f2936]) ).

fof(f2936,plain,
    ( spl6_217
  <=> sdtpldt0(xn,xm) = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).

fof(f1739,plain,
    ( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
    | ~ spl6_5
    | ~ spl6_138 ),
    inference(resolution,[],[f1704,f268]) ).

fof(f2934,plain,
    ( spl6_216
    | ~ spl6_42
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f572,f537,f448,f2932]) ).

fof(f2932,plain,
    ( spl6_216
  <=> ! [X6] :
        ( sP0(X6)
        | sz10 = X6
        | sz00 = X6
        | sK2(X6) = sdtasdt0(sz10,sK2(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).

fof(f572,plain,
    ( ! [X6] :
        ( sP0(X6)
        | sz10 = X6
        | sz00 = X6
        | sK2(X6) = sdtasdt0(sz10,sK2(X6)) )
    | ~ spl6_42
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f449]) ).

fof(f2930,plain,
    ( spl6_215
    | ~ spl6_41
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f571,f537,f444,f2928]) ).

fof(f2928,plain,
    ( spl6_215
  <=> ! [X5] :
        ( sP0(X5)
        | sz10 = X5
        | sz00 = X5
        | sK2(X5) = sdtasdt0(sK2(X5),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).

fof(f571,plain,
    ( ! [X5] :
        ( sP0(X5)
        | sz10 = X5
        | sz00 = X5
        | sK2(X5) = sdtasdt0(sK2(X5),sz10) )
    | ~ spl6_41
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f445]) ).

fof(f2926,plain,
    ( spl6_214
    | ~ spl6_40
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f570,f537,f440,f2924]) ).

fof(f2924,plain,
    ( spl6_214
  <=> ! [X4] :
        ( sP0(X4)
        | sz10 = X4
        | sz00 = X4
        | sK2(X4) = sdtpldt0(sz00,sK2(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).

fof(f570,plain,
    ( ! [X4] :
        ( sP0(X4)
        | sz10 = X4
        | sz00 = X4
        | sK2(X4) = sdtpldt0(sz00,sK2(X4)) )
    | ~ spl6_40
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f441]) ).

fof(f2922,plain,
    ( spl6_213
    | ~ spl6_39
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f569,f537,f436,f2920]) ).

fof(f2920,plain,
    ( spl6_213
  <=> ! [X3] :
        ( sP0(X3)
        | sz10 = X3
        | sz00 = X3
        | sK2(X3) = sdtpldt0(sK2(X3),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).

fof(f569,plain,
    ( ! [X3] :
        ( sP0(X3)
        | sz10 = X3
        | sz00 = X3
        | sK2(X3) = sdtpldt0(sK2(X3),sz00) )
    | ~ spl6_39
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f437]) ).

fof(f2765,plain,
    ( spl6_212
    | ~ spl6_2
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f862,f829,f251,f2763]) ).

fof(f2763,plain,
    ( spl6_212
  <=> ! [X18,X19] :
        ( sdtasdt0(sdtasdt0(X18,X19),xr) = sdtasdt0(X18,sdtasdt0(X19,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).

fof(f862,plain,
    ( ! [X18,X19] :
        ( sdtasdt0(sdtasdt0(X18,X19),xr) = sdtasdt0(X18,sdtasdt0(X19,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) )
    | ~ spl6_2
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f253]) ).

fof(f2761,plain,
    ( spl6_211
    | ~ spl6_6
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f861,f829,f271,f2759]) ).

fof(f2759,plain,
    ( spl6_211
  <=> ! [X16,X17] :
        ( sdtasdt0(sdtasdt0(X16,X17),xp) = sdtasdt0(X16,sdtasdt0(X17,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).

fof(f861,plain,
    ( ! [X16,X17] :
        ( sdtasdt0(sdtasdt0(X16,X17),xp) = sdtasdt0(X16,sdtasdt0(X17,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_6
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f273]) ).

fof(f2757,plain,
    ( spl6_210
    | ~ spl6_5
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f860,f829,f266,f2755]) ).

fof(f2755,plain,
    ( spl6_210
  <=> ! [X14,X15] :
        ( sdtasdt0(sdtasdt0(X14,X15),xm) = sdtasdt0(X14,sdtasdt0(X15,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).

fof(f860,plain,
    ( ! [X14,X15] :
        ( sdtasdt0(sdtasdt0(X14,X15),xm) = sdtasdt0(X14,sdtasdt0(X15,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) )
    | ~ spl6_5
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f268]) ).

fof(f2753,plain,
    ( spl6_209
    | ~ spl6_4
    | ~ spl6_83 ),
    inference(avatar_split_clause,[],[f859,f829,f261,f2751]) ).

fof(f2751,plain,
    ( spl6_209
  <=> ! [X13,X12] :
        ( sdtasdt0(sdtasdt0(X12,X13),xn) = sdtasdt0(X12,sdtasdt0(X13,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).

fof(f859,plain,
    ( ! [X12,X13] :
        ( sdtasdt0(sdtasdt0(X12,X13),xn) = sdtasdt0(X12,sdtasdt0(X13,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) )
    | ~ spl6_4
    | ~ spl6_83 ),
    inference(resolution,[],[f830,f263]) ).

fof(f2749,plain,
    ( spl6_208
    | ~ spl6_2
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f850,f825,f251,f2747]) ).

fof(f2747,plain,
    ( spl6_208
  <=> ! [X18,X19] :
        ( sdtpldt0(sdtpldt0(X18,X19),xr) = sdtpldt0(X18,sdtpldt0(X19,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).

fof(f850,plain,
    ( ! [X18,X19] :
        ( sdtpldt0(sdtpldt0(X18,X19),xr) = sdtpldt0(X18,sdtpldt0(X19,xr))
        | ~ aNaturalNumber0(X19)
        | ~ aNaturalNumber0(X18) )
    | ~ spl6_2
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f253]) ).

fof(f2745,plain,
    ( spl6_207
    | ~ spl6_6
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f849,f825,f271,f2743]) ).

fof(f2743,plain,
    ( spl6_207
  <=> ! [X16,X17] :
        ( sdtpldt0(sdtpldt0(X16,X17),xp) = sdtpldt0(X16,sdtpldt0(X17,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).

fof(f849,plain,
    ( ! [X16,X17] :
        ( sdtpldt0(sdtpldt0(X16,X17),xp) = sdtpldt0(X16,sdtpldt0(X17,xp))
        | ~ aNaturalNumber0(X17)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_6
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f273]) ).

fof(f2741,plain,
    ( spl6_206
    | ~ spl6_5
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f848,f825,f266,f2739]) ).

fof(f2739,plain,
    ( spl6_206
  <=> ! [X14,X15] :
        ( sdtpldt0(sdtpldt0(X14,X15),xm) = sdtpldt0(X14,sdtpldt0(X15,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).

fof(f848,plain,
    ( ! [X14,X15] :
        ( sdtpldt0(sdtpldt0(X14,X15),xm) = sdtpldt0(X14,sdtpldt0(X15,xm))
        | ~ aNaturalNumber0(X15)
        | ~ aNaturalNumber0(X14) )
    | ~ spl6_5
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f268]) ).

fof(f2737,plain,
    ( spl6_205
    | ~ spl6_4
    | ~ spl6_82 ),
    inference(avatar_split_clause,[],[f847,f825,f261,f2735]) ).

fof(f2735,plain,
    ( spl6_205
  <=> ! [X13,X12] :
        ( sdtpldt0(sdtpldt0(X12,X13),xn) = sdtpldt0(X12,sdtpldt0(X13,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).

fof(f847,plain,
    ( ! [X12,X13] :
        ( sdtpldt0(sdtpldt0(X12,X13),xn) = sdtpldt0(X12,sdtpldt0(X13,xn))
        | ~ aNaturalNumber0(X13)
        | ~ aNaturalNumber0(X12) )
    | ~ spl6_4
    | ~ spl6_82 ),
    inference(resolution,[],[f826,f263]) ).

fof(f2733,plain,
    ( ~ spl6_7
    | spl6_204
    | ~ spl6_128
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2410,f2234,f1484,f2730,f276]) ).

fof(f2730,plain,
    ( spl6_204
  <=> doDivides0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).

fof(f1484,plain,
    ( spl6_128
  <=> sz00 = sdtasdt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).

fof(f2410,plain,
    ( doDivides0(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_128
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2371]) ).

fof(f2371,plain,
    ( doDivides0(sz00,sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sz00)
    | ~ spl6_128
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1486]) ).

fof(f1486,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl6_128 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f2509,plain,
    ( spl6_203
    | ~ spl6_81 ),
    inference(avatar_split_clause,[],[f842,f821,f2507]) ).

fof(f2507,plain,
    ( spl6_203
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtsldt0(X0,X1))
        | ~ doDivides0(X1,X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).

fof(f842,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtsldt0(X0,X1))
        | ~ doDivides0(X1,X0)
        | sz00 = X1
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_81 ),
    inference(equality_resolution,[],[f822]) ).

fof(f2505,plain,
    ( spl6_202
    | ~ spl6_79 ),
    inference(avatar_split_clause,[],[f840,f812,f2503]) ).

fof(f2503,plain,
    ( spl6_202
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).

fof(f812,plain,
    ( spl6_79
  <=> ! [X2,X0,X1] :
        ( sdtpldt0(X0,X2) = X1
        | sdtmndt0(X1,X0) != X2
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).

fof(f840,plain,
    ( ! [X0,X1] :
        ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_79 ),
    inference(equality_resolution,[],[f813]) ).

fof(f813,plain,
    ( ! [X2,X0,X1] :
        ( sdtmndt0(X1,X0) != X2
        | sdtpldt0(X0,X2) = X1
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_79 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2501,plain,
    ( spl6_201
    | ~ spl6_47
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f757,f728,f519,f2499]) ).

fof(f2499,plain,
    ( spl6_201
  <=> ! [X2,X1] :
        ( sdtpldt0(X1,sK5(X1,X2)) = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).

fof(f757,plain,
    ( ! [X2,X1] :
        ( sdtpldt0(X1,sK5(X1,X2)) = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1) )
    | ~ spl6_47
    | ~ spl6_71 ),
    inference(duplicate_literal_removal,[],[f744]) ).

fof(f744,plain,
    ( ! [X2,X1] :
        ( sdtpldt0(X1,sK5(X1,X2)) = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_47
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f520]) ).

fof(f2497,plain,
    ( spl6_200
    | ~ spl6_38
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f611,f561,f432,f2495]) ).

fof(f2495,plain,
    ( spl6_200
  <=> ! [X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sK5(X4,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).

fof(f611,plain,
    ( ! [X4,X5] :
        ( ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sK5(X4,X5)) )
    | ~ spl6_38
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f433]) ).

fof(f2493,plain,
    ( spl6_199
    | ~ spl6_37
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f610,f561,f428,f2491]) ).

fof(f610,plain,
    ( ! [X2,X3] :
        ( ~ sdtlseqdt0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK5(X2,X3),sz00) )
    | ~ spl6_37
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f429]) ).

fof(f2489,plain,
    ( spl6_198
    | ~ spl6_38
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f602,f557,f432,f2487]) ).

fof(f2487,plain,
    ( spl6_198
  <=> ! [X4,X5] :
        ( ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sK4(X4,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).

fof(f602,plain,
    ( ! [X4,X5] :
        ( ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X4)
        | sz00 = sdtasdt0(sz00,sK4(X4,X5)) )
    | ~ spl6_38
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f433]) ).

fof(f2485,plain,
    ( spl6_197
    | ~ spl6_37
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f601,f557,f428,f2483]) ).

fof(f2483,plain,
    ( spl6_197
  <=> ! [X2,X3] :
        ( ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK4(X2,X3),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).

fof(f601,plain,
    ( ! [X2,X3] :
        ( ~ doDivides0(X2,X3)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sK4(X2,X3),sz00) )
    | ~ spl6_37
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f429]) ).

fof(f2481,plain,
    ( spl6_196
    | ~ spl6_38
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f575,f541,f432,f2479]) ).

fof(f2479,plain,
    ( spl6_196
  <=> ! [X2] :
        ( sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sK3(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).

fof(f575,plain,
    ( ! [X2] :
        ( sz10 = X2
        | sz00 = X2
        | ~ aNaturalNumber0(X2)
        | sz00 = sdtasdt0(sz00,sK3(X2)) )
    | ~ spl6_38
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f433]) ).

fof(f2477,plain,
    ( spl6_195
    | ~ spl6_37
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f574,f541,f428,f2475]) ).

fof(f2475,plain,
    ( spl6_195
  <=> ! [X1] :
        ( sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sK3(X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).

fof(f574,plain,
    ( ! [X1] :
        ( sz10 = X1
        | sz00 = X1
        | ~ aNaturalNumber0(X1)
        | sz00 = sdtasdt0(sK3(X1),sz00) )
    | ~ spl6_37
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f429]) ).

fof(f2473,plain,
    ( ~ spl6_8
    | spl6_194
    | ~ spl6_134
    | ~ spl6_186 ),
    inference(avatar_split_clause,[],[f2403,f2234,f1514,f2470,f281]) ).

fof(f2470,plain,
    ( spl6_194
  <=> doDivides0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).

fof(f1514,plain,
    ( spl6_134
  <=> sz10 = sdtasdt0(sz10,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).

fof(f2403,plain,
    ( doDivides0(sz10,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_134
    | ~ spl6_186 ),
    inference(duplicate_literal_removal,[],[f2378]) ).

fof(f2378,plain,
    ( doDivides0(sz10,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ spl6_134
    | ~ spl6_186 ),
    inference(superposition,[],[f2235,f1516]) ).

fof(f1516,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl6_134 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f2468,plain,
    ( spl6_193
    | ~ spl6_38
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f568,f537,f432,f2466]) ).

fof(f2466,plain,
    ( spl6_193
  <=> ! [X2] :
        ( sP0(X2)
        | sz10 = X2
        | sz00 = X2
        | sz00 = sdtasdt0(sz00,sK2(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).

fof(f568,plain,
    ( ! [X2] :
        ( sP0(X2)
        | sz10 = X2
        | sz00 = X2
        | sz00 = sdtasdt0(sz00,sK2(X2)) )
    | ~ spl6_38
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f433]) ).

fof(f2464,plain,
    ( spl6_192
    | ~ spl6_37
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f567,f537,f428,f2462]) ).

fof(f2462,plain,
    ( spl6_192
  <=> ! [X1] :
        ( sP0(X1)
        | sz10 = X1
        | sz00 = X1
        | sz00 = sdtasdt0(sK2(X1),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).

fof(f567,plain,
    ( ! [X1] :
        ( sP0(X1)
        | sz10 = X1
        | sz00 = X1
        | sz00 = sdtasdt0(sK2(X1),sz00) )
    | ~ spl6_37
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f429]) ).

fof(f2460,plain,
    ( ~ spl6_189
    | ~ spl6_6
    | spl6_190
    | spl6_191
    | ~ spl6_22
    | ~ spl6_63 ),
    inference(avatar_split_clause,[],[f666,f651,f356,f2457,f2453,f271,f2449]) ).

fof(f2449,plain,
    ( spl6_189
  <=> sP0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).

fof(f2453,plain,
    ( spl6_190
  <=> xp = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).

fof(f2457,plain,
    ( spl6_191
  <=> sz10 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).

fof(f666,plain,
    ( sz10 = xp
    | xp = sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(xp)
    | ~ sP0(sdtasdt0(xn,xm))
    | ~ spl6_22
    | ~ spl6_63 ),
    inference(resolution,[],[f652,f358]) ).

fof(f2336,plain,
    ( spl6_188
    | ~ spl6_8
    | ~ spl6_138 ),
    inference(avatar_split_clause,[],[f1735,f1703,f281,f2333]) ).

fof(f2333,plain,
    ( spl6_188
  <=> sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).

fof(f1735,plain,
    ( sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10)
    | ~ spl6_8
    | ~ spl6_138 ),
    inference(resolution,[],[f1704,f283]) ).

fof(f2240,plain,
    ( spl6_187
    | ~ spl6_72 ),
    inference(avatar_split_clause,[],[f759,f732,f2238]) ).

fof(f732,plain,
    ( spl6_72
  <=> ! [X2,X0,X1] :
        ( sdtlseqdt0(X0,X1)
        | sdtpldt0(X0,X2) != X1
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).

fof(f759,plain,
    ( ! [X0,X1] :
        ( sdtlseqdt0(X0,sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtpldt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_72 ),
    inference(equality_resolution,[],[f733]) ).

fof(f733,plain,
    ( ! [X2,X0,X1] :
        ( sdtpldt0(X0,X2) != X1
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_72 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f2236,plain,
    ( spl6_186
    | ~ spl6_70 ),
    inference(avatar_split_clause,[],[f742,f724,f2234]) ).

fof(f724,plain,
    ( spl6_70
  <=> ! [X2,X0,X1] :
        ( doDivides0(X0,X1)
        | sdtasdt0(X0,X2) != X1
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).

fof(f742,plain,
    ( ! [X0,X1] :
        ( doDivides0(X0,sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(X0,X1))
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_70 ),
    inference(equality_resolution,[],[f725]) ).

fof(f725,plain,
    ( ! [X2,X0,X1] :
        ( sdtasdt0(X0,X2) != X1
        | doDivides0(X0,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_70 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f2224,plain,
    ( ~ spl6_8
    | spl6_185
    | ~ spl6_48
    | ~ spl6_66 ),
    inference(avatar_split_clause,[],[f705,f663,f533,f2222,f281]) ).

fof(f2222,plain,
    ( spl6_185
  <=> ! [X7] :
        ( sz10 = X7
        | sz00 = X7
        | ~ aNaturalNumber0(X7)
        | ~ sdtlseqdt0(X7,sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).

fof(f705,plain,
    ( ! [X7] :
        ( sz10 = X7
        | ~ sdtlseqdt0(X7,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X7)
        | sz00 = X7 )
    | ~ spl6_48
    | ~ spl6_66 ),
    inference(duplicate_literal_removal,[],[f698]) ).

fof(f698,plain,
    ( ! [X7] :
        ( sz10 = X7
        | ~ sdtlseqdt0(X7,sz10)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X7)
        | sz10 = X7
        | sz00 = X7
        | ~ aNaturalNumber0(X7) )
    | ~ spl6_48
    | ~ spl6_66 ),
    inference(resolution,[],[f664,f534]) ).

fof(f2220,plain,
    ( spl6_184
    | ~ spl6_47
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f685,f655,f519,f2218]) ).

fof(f2218,plain,
    ( spl6_184
  <=> ! [X2,X1] :
        ( iLess0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).

fof(f685,plain,
    ( ! [X2,X1] :
        ( iLess0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1) )
    | ~ spl6_47
    | ~ spl6_64 ),
    inference(duplicate_literal_removal,[],[f672]) ).

fof(f672,plain,
    ( ! [X2,X1] :
        ( iLess0(X1,X2)
        | X1 = X2
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sdtlseqdt0(X2,X1)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_47
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f520]) ).

fof(f2216,plain,
    ( ~ spl6_8
    | spl6_183
    | ~ spl6_48
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f682,f655,f533,f2214,f281]) ).

fof(f2214,plain,
    ( spl6_183
  <=> ! [X7] :
        ( iLess0(sz10,X7)
        | sz00 = X7
        | ~ aNaturalNumber0(X7)
        | sz10 = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).

fof(f682,plain,
    ( ! [X7] :
        ( iLess0(sz10,X7)
        | sz10 = X7
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(sz10)
        | sz00 = X7 )
    | ~ spl6_48
    | ~ spl6_64 ),
    inference(duplicate_literal_removal,[],[f675]) ).

fof(f675,plain,
    ( ! [X7] :
        ( iLess0(sz10,X7)
        | sz10 = X7
        | ~ aNaturalNumber0(X7)
        | ~ aNaturalNumber0(sz10)
        | sz10 = X7
        | sz00 = X7
        | ~ aNaturalNumber0(X7) )
    | ~ spl6_48
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f534]) ).

fof(f2212,plain,
    ( spl6_182
    | ~ spl6_42
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f513,f497,f448,f2210]) ).

fof(f2210,plain,
    ( spl6_182
  <=> ! [X13,X12] :
        ( ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13)
        | sdtasdt0(X13,X12) = sdtasdt0(sz10,sdtasdt0(X13,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).

fof(f513,plain,
    ( ! [X12,X13] :
        ( ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13)
        | sdtasdt0(X13,X12) = sdtasdt0(sz10,sdtasdt0(X13,X12)) )
    | ~ spl6_42
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f449]) ).

fof(f2208,plain,
    ( spl6_181
    | ~ spl6_41
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f512,f497,f444,f2206]) ).

fof(f2206,plain,
    ( spl6_181
  <=> ! [X11,X10] :
        ( ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X11)
        | sdtasdt0(X11,X10) = sdtasdt0(sdtasdt0(X11,X10),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).

fof(f512,plain,
    ( ! [X10,X11] :
        ( ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X11)
        | sdtasdt0(X11,X10) = sdtasdt0(sdtasdt0(X11,X10),sz10) )
    | ~ spl6_41
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f445]) ).

fof(f2204,plain,
    ( spl6_180
    | ~ spl6_40
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f511,f497,f440,f2202]) ).

fof(f2202,plain,
    ( spl6_180
  <=> ! [X9,X8] :
        ( ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,X8) = sdtpldt0(sz00,sdtasdt0(X9,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).

fof(f511,plain,
    ( ! [X8,X9] :
        ( ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | sdtasdt0(X9,X8) = sdtpldt0(sz00,sdtasdt0(X9,X8)) )
    | ~ spl6_40
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f441]) ).

fof(f2200,plain,
    ( spl6_179
    | ~ spl6_39
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f510,f497,f436,f2198]) ).

fof(f2198,plain,
    ( spl6_179
  <=> ! [X6,X7] :
        ( ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X7)
        | sdtasdt0(X7,X6) = sdtpldt0(sdtasdt0(X7,X6),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).

fof(f510,plain,
    ( ! [X6,X7] :
        ( ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X7)
        | sdtasdt0(X7,X6) = sdtpldt0(sdtasdt0(X7,X6),sz00) )
    | ~ spl6_39
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f437]) ).

fof(f2196,plain,
    ( spl6_178
    | ~ spl6_42
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f506,f493,f448,f2194]) ).

fof(f2194,plain,
    ( spl6_178
  <=> ! [X13,X12] :
        ( ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13)
        | sdtpldt0(X13,X12) = sdtasdt0(sz10,sdtpldt0(X13,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).

fof(f506,plain,
    ( ! [X12,X13] :
        ( ~ aNaturalNumber0(X12)
        | ~ aNaturalNumber0(X13)
        | sdtpldt0(X13,X12) = sdtasdt0(sz10,sdtpldt0(X13,X12)) )
    | ~ spl6_42
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f449]) ).

fof(f2192,plain,
    ( spl6_177
    | ~ spl6_41
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f505,f493,f444,f2190]) ).

fof(f2190,plain,
    ( spl6_177
  <=> ! [X11,X10] :
        ( ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X11)
        | sdtpldt0(X11,X10) = sdtasdt0(sdtpldt0(X11,X10),sz10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).

fof(f505,plain,
    ( ! [X10,X11] :
        ( ~ aNaturalNumber0(X10)
        | ~ aNaturalNumber0(X11)
        | sdtpldt0(X11,X10) = sdtasdt0(sdtpldt0(X11,X10),sz10) )
    | ~ spl6_41
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f445]) ).

fof(f2188,plain,
    ( spl6_86
    | ~ spl6_176
    | ~ spl6_28
    | ~ spl6_74 ),
    inference(avatar_split_clause,[],[f970,f765,f385,f2185,f876]) ).

fof(f876,plain,
    ( spl6_86
  <=> sP0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).

fof(f2185,plain,
    ( spl6_176
  <=> isPrime0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).

fof(f385,plain,
    ( spl6_28
  <=> ! [X0] :
        ( sP0(X0)
        | ~ isPrime0(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).

fof(f765,plain,
    ( spl6_74
  <=> sP1(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).

fof(f970,plain,
    ( ~ isPrime0(sz10)
    | sP0(sz10)
    | ~ spl6_28
    | ~ spl6_74 ),
    inference(resolution,[],[f767,f386]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | ~ isPrime0(X0)
        | sP0(X0) )
    | ~ spl6_28 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f767,plain,
    ( sP1(sz10)
    | ~ spl6_74 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f2183,plain,
    ( spl6_175
    | ~ spl6_40
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f504,f493,f440,f2181]) ).

fof(f2181,plain,
    ( spl6_175
  <=> ! [X9,X8] :
        ( ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | sdtpldt0(X9,X8) = sdtpldt0(sz00,sdtpldt0(X9,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).

fof(f504,plain,
    ( ! [X8,X9] :
        ( ~ aNaturalNumber0(X8)
        | ~ aNaturalNumber0(X9)
        | sdtpldt0(X9,X8) = sdtpldt0(sz00,sdtpldt0(X9,X8)) )
    | ~ spl6_40
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f441]) ).

fof(f2179,plain,
    ( spl6_174
    | ~ spl6_39
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f503,f493,f436,f2177]) ).

fof(f2177,plain,
    ( spl6_174
  <=> ! [X6,X7] :
        ( ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X7)
        | sdtpldt0(X7,X6) = sdtpldt0(sdtpldt0(X7,X6),sz00) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).

fof(f503,plain,
    ( ! [X6,X7] :
        ( ~ aNaturalNumber0(X6)
        | ~ aNaturalNumber0(X7)
        | sdtpldt0(X7,X6) = sdtpldt0(sdtpldt0(X7,X6),sz00) )
    | ~ spl6_39
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f437]) ).

fof(f2168,plain,
    ( ~ spl6_5
    | ~ spl6_6
    | spl6_173
    | ~ spl6_16
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f791,f774,f321,f2166,f271,f266]) ).

fof(f2166,plain,
    ( spl6_173
  <=> ! [X16] :
        ( sdtlseqdt0(X16,xp)
        | ~ aNaturalNumber0(X16)
        | ~ sdtlseqdt0(X16,xm) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).

fof(f791,plain,
    ( ! [X16] :
        ( sdtlseqdt0(X16,xp)
        | ~ sdtlseqdt0(X16,xm)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X16) )
    | ~ spl6_16
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f323]) ).

fof(f2157,plain,
    ( ~ spl6_4
    | ~ spl6_6
    | spl6_172
    | ~ spl6_14
    | ~ spl6_76 ),
    inference(avatar_split_clause,[],[f790,f774,f311,f2155,f271,f261]) ).

fof(f2155,plain,
    ( spl6_172
  <=> ! [X15] :
        ( sdtlseqdt0(X15,xp)
        | ~ aNaturalNumber0(X15)
        | ~ sdtlseqdt0(X15,xn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).

fof(f790,plain,
    ( ! [X15] :
        ( sdtlseqdt0(X15,xp)
        | ~ sdtlseqdt0(X15,xn)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X15) )
    | ~ spl6_14
    | ~ spl6_76 ),
    inference(resolution,[],[f775,f313]) ).

fof(f2067,plain,
    ( spl6_171
    | ~ spl6_67 ),
    inference(avatar_split_clause,[],[f735,f711,f2065]) ).

fof(f2065,plain,
    ( spl6_171
  <=> ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).

fof(f711,plain,
    ( spl6_67
  <=> ! [X2,X0,X1] :
        ( aNaturalNumber0(X2)
        | sdtmndt0(X1,X0) != X2
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).

fof(f735,plain,
    ( ! [X0,X1] :
        ( aNaturalNumber0(sdtmndt0(X0,X1))
        | ~ sdtlseqdt0(X1,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_67 ),
    inference(equality_resolution,[],[f712]) ).

fof(f712,plain,
    ( ! [X2,X0,X1] :
        ( sdtmndt0(X1,X0) != X2
        | aNaturalNumber0(X2)
        | ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_67 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f2063,plain,
    ( spl6_170
    | ~ spl6_21
    | ~ spl6_55 ),
    inference(avatar_split_clause,[],[f609,f561,f346,f2061]) ).

fof(f2061,plain,
    ( spl6_170
  <=> ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP1(sK5(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).

fof(f609,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP1(sK5(X0,X1)) )
    | ~ spl6_21
    | ~ spl6_55 ),
    inference(resolution,[],[f562,f347]) ).

fof(f2059,plain,
    ( spl6_169
    | ~ spl6_21
    | ~ spl6_54 ),
    inference(avatar_split_clause,[],[f600,f557,f346,f2057]) ).

fof(f2057,plain,
    ( spl6_169
  <=> ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP1(sK4(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).

fof(f600,plain,
    ( ! [X0,X1] :
        ( ~ doDivides0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0)
        | sP1(sK4(X0,X1)) )
    | ~ spl6_21
    | ~ spl6_54 ),
    inference(resolution,[],[f558,f347]) ).

fof(f2055,plain,
    ( spl6_168
    | ~ spl6_21
    | ~ spl6_50 ),
    inference(avatar_split_clause,[],[f573,f541,f346,f2053]) ).

fof(f2053,plain,
    ( spl6_168
  <=> ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sP1(sK3(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).

fof(f573,plain,
    ( ! [X0] :
        ( sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sP1(sK3(X0)) )
    | ~ spl6_21
    | ~ spl6_50 ),
    inference(resolution,[],[f542,f347]) ).

fof(f2051,plain,
    ( spl6_167
    | ~ spl6_21
    | ~ spl6_49 ),
    inference(avatar_split_clause,[],[f566,f537,f346,f2049]) ).

fof(f2049,plain,
    ( spl6_167
  <=> ! [X0] :
        ( sP0(X0)
        | sz10 = X0
        | sz00 = X0
        | sP1(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).

fof(f566,plain,
    ( ! [X0] :
        ( sP0(X0)
        | sz10 = X0
        | sz00 = X0
        | sP1(sK2(X0)) )
    | ~ spl6_21
    | ~ spl6_49 ),
    inference(resolution,[],[f538,f347]) ).

fof(f2047,plain,
    ( spl6_80
    | ~ spl6_166
    | ~ spl6_28
    | ~ spl6_68 ),
    inference(avatar_split_clause,[],[f917,f715,f385,f2044,f816]) ).

fof(f2044,plain,
    ( spl6_166
  <=> isPrime0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).

fof(f715,plain,
    ( spl6_68
  <=> sP1(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).

fof(f917,plain,
    ( ~ isPrime0(sz00)
    | sP0(sz00)
    | ~ spl6_28
    | ~ spl6_68 ),
    inference(resolution,[],[f717,f386]) ).

fof(f717,plain,
    ( sP1(sz00)
    | ~ spl6_68 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f2042,plain,
    ( spl6_165
    | ~ spl6_38
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f509,f497,f432,f2040]) ).

fof(f509,plain,
    ( ! [X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | sz00 = sdtasdt0(sz00,sdtasdt0(X5,X4)) )
    | ~ spl6_38
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f433]) ).

fof(f2038,plain,
    ( spl6_164
    | ~ spl6_37
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f508,f497,f428,f2036]) ).

fof(f508,plain,
    ( ! [X2,X3] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | sz00 = sdtasdt0(sdtasdt0(X3,X2),sz00) )
    | ~ spl6_37
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f429]) ).

fof(f2034,plain,
    ( spl6_163
    | ~ spl6_38
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f502,f493,f432,f2032]) ).

fof(f502,plain,
    ( ! [X4,X5] :
        ( ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | sz00 = sdtasdt0(sz00,sdtpldt0(X5,X4)) )
    | ~ spl6_38
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f433]) ).

fof(f2030,plain,
    ( spl6_162
    | ~ spl6_37
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f501,f493,f428,f2028]) ).

fof(f501,plain,
    ( ! [X2,X3] :
        ( ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X3)
        | sz00 = sdtasdt0(sdtpldt0(X3,X2),sz00) )
    | ~ spl6_37
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f429]) ).

fof(f2007,plain,
    ( ~ spl6_5
    | ~ spl6_6
    | spl6_161
    | ~ spl6_16
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f751,f728,f321,f2004,f271,f266]) ).

fof(f2004,plain,
    ( spl6_161
  <=> xp = sdtpldt0(xm,sK5(xm,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).

fof(f751,plain,
    ( xp = sdtpldt0(xm,sK5(xm,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_16
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f323]) ).

fof(f1983,plain,
    ( ~ spl6_4
    | ~ spl6_6
    | spl6_160
    | ~ spl6_14
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f750,f728,f311,f1980,f271,f261]) ).

fof(f1980,plain,
    ( spl6_160
  <=> xp = sdtpldt0(xn,sK5(xn,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).

fof(f750,plain,
    ( xp = sdtpldt0(xn,sK5(xn,xp))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_14
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f313]) ).

fof(f1978,plain,
    ( ~ spl6_6
    | ~ spl6_157
    | spl6_158
    | spl6_159
    | ~ spl6_11
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f680,f655,f296,f1975,f1971,f1967,f271]) ).

fof(f1975,plain,
    ( spl6_159
  <=> iLess0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).

fof(f680,plain,
    ( iLess0(xp,xk)
    | xp = xk
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(xp)
    | ~ spl6_11
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f298]) ).

fof(f1965,plain,
    ( ~ spl6_5
    | ~ spl6_6
    | spl6_15
    | spl6_156
    | ~ spl6_16
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f679,f655,f321,f1962,f316,f271,f266]) ).

fof(f316,plain,
    ( spl6_15
  <=> xm = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

fof(f1962,plain,
    ( spl6_156
  <=> iLess0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).

fof(f679,plain,
    ( iLess0(xm,xp)
    | xm = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ spl6_16
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f323]) ).

fof(f1960,plain,
    ( ~ spl6_4
    | ~ spl6_6
    | spl6_13
    | spl6_155
    | ~ spl6_14
    | ~ spl6_64 ),
    inference(avatar_split_clause,[],[f678,f655,f311,f1957,f306,f271,f261]) ).

fof(f306,plain,
    ( spl6_13
  <=> xn = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

fof(f1957,plain,
    ( spl6_155
  <=> iLess0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).

fof(f678,plain,
    ( iLess0(xn,xp)
    | xn = xp
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl6_14
    | ~ spl6_64 ),
    inference(resolution,[],[f656,f313]) ).

fof(f1955,plain,
    ( ~ spl6_152
    | ~ spl6_2
    | spl6_153
    | spl6_154
    | ~ spl6_12
    | ~ spl6_63 ),
    inference(avatar_split_clause,[],[f667,f651,f301,f1952,f1948,f251,f1944]) ).

fof(f1944,plain,
    ( spl6_152
  <=> sP0(xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).

fof(f1952,plain,
    ( spl6_154
  <=> sz10 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).

fof(f667,plain,
    ( sz10 = xr
    | xk = xr
    | ~ aNaturalNumber0(xr)
    | ~ sP0(xk)
    | ~ spl6_12
    | ~ spl6_63 ),
    inference(resolution,[],[f652,f303]) ).

fof(f1866,plain,
    ( spl6_151
    | ~ spl6_25
    | ~ spl6_71 ),
    inference(avatar_split_clause,[],[f758,f728,f371,f1864]) ).

fof(f758,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK5(X0,X0)) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_25
    | ~ spl6_71 ),
    inference(duplicate_literal_removal,[],[f743]) ).

fof(f743,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sK5(X0,X0)) = X0
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_25
    | ~ spl6_71 ),
    inference(resolution,[],[f729,f372]) ).

fof(f1862,plain,
    ( spl6_150
    | ~ spl6_8
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f591,f553,f281,f1860]) ).

fof(f591,plain,
    ( ! [X1] :
        ( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_8
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f283]) ).

fof(f1858,plain,
    ( spl6_149
    | ~ spl6_7
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f590,f553,f276,f1856]) ).

fof(f590,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_7
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f278]) ).

fof(f1854,plain,
    ( spl6_148
    | ~ spl6_8
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f581,f549,f281,f1852]) ).

fof(f581,plain,
    ( ! [X1] :
        ( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl6_8
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f283]) ).

fof(f1850,plain,
    ( spl6_147
    | ~ spl6_7
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f580,f549,f276,f1848]) ).

fof(f580,plain,
    ( ! [X0] :
        ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl6_7
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f278]) ).

fof(f1832,plain,
    ( spl6_146
    | ~ spl6_3
    | ~ spl6_28
    | ~ spl6_43 ),
    inference(avatar_split_clause,[],[f649,f470,f385,f256,f1829]) ).

fof(f256,plain,
    ( spl6_3
  <=> isPrime0(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f470,plain,
    ( spl6_43
  <=> sP1(xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).

fof(f649,plain,
    ( ~ isPrime0(xr)
    | sP0(xr)
    | ~ spl6_28
    | ~ spl6_43 ),
    inference(resolution,[],[f472,f386]) ).

fof(f472,plain,
    ( sP1(xr)
    | ~ spl6_43 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1733,plain,
    ( spl6_145
    | ~ spl6_2
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f597,f553,f251,f1731]) ).

fof(f597,plain,
    ( ! [X11] :
        ( sdtasdt0(X11,xr) = sdtasdt0(xr,X11)
        | ~ aNaturalNumber0(X11) )
    | ~ spl6_2
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f253]) ).

fof(f1729,plain,
    ( spl6_144
    | ~ spl6_6
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f596,f553,f271,f1727]) ).

fof(f596,plain,
    ( ! [X10] :
        ( sdtasdt0(X10,xp) = sdtasdt0(xp,X10)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_6
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f273]) ).

fof(f1725,plain,
    ( spl6_143
    | ~ spl6_5
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f595,f553,f266,f1723]) ).

fof(f595,plain,
    ( ! [X9] :
        ( sdtasdt0(X9,xm) = sdtasdt0(xm,X9)
        | ~ aNaturalNumber0(X9) )
    | ~ spl6_5
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f268]) ).

fof(f1721,plain,
    ( spl6_142
    | ~ spl6_4
    | ~ spl6_53 ),
    inference(avatar_split_clause,[],[f594,f553,f261,f1719]) ).

fof(f594,plain,
    ( ! [X8] :
        ( sdtasdt0(X8,xn) = sdtasdt0(xn,X8)
        | ~ aNaturalNumber0(X8) )
    | ~ spl6_4
    | ~ spl6_53 ),
    inference(resolution,[],[f554,f263]) ).

fof(f1717,plain,
    ( spl6_141
    | ~ spl6_2
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f587,f549,f251,f1715]) ).

fof(f587,plain,
    ( ! [X11] :
        ( sdtpldt0(X11,xr) = sdtpldt0(xr,X11)
        | ~ aNaturalNumber0(X11) )
    | ~ spl6_2
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f253]) ).

fof(f1713,plain,
    ( spl6_140
    | ~ spl6_6
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f586,f549,f271,f1711]) ).

fof(f586,plain,
    ( ! [X10] :
        ( sdtpldt0(X10,xp) = sdtpldt0(xp,X10)
        | ~ aNaturalNumber0(X10) )
    | ~ spl6_6
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f273]) ).

fof(f1709,plain,
    ( spl6_139
    | ~ spl6_5
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f585,f549,f266,f1707]) ).

fof(f585,plain,
    ( ! [X9] :
        ( sdtpldt0(X9,xm) = sdtpldt0(xm,X9)
        | ~ aNaturalNumber0(X9) )
    | ~ spl6_5
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f268]) ).

fof(f1705,plain,
    ( spl6_138
    | ~ spl6_4
    | ~ spl6_52 ),
    inference(avatar_split_clause,[],[f584,f549,f261,f1703]) ).

fof(f584,plain,
    ( ! [X8] :
        ( sdtpldt0(X8,xn) = sdtpldt0(xn,X8)
        | ~ aNaturalNumber0(X8) )
    | ~ spl6_4
    | ~ spl6_52 ),
    inference(resolution,[],[f550,f263]) ).

fof(f1663,plain,
    ( spl6_137
    | ~ spl6_21
    | ~ spl6_45 ),
    inference(avatar_split_clause,[],[f507,f497,f346,f1661]) ).

fof(f1661,plain,
    ( spl6_137
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP1(sdtasdt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).

fof(f507,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP1(sdtasdt0(X1,X0)) )
    | ~ spl6_21
    | ~ spl6_45 ),
    inference(resolution,[],[f498,f347]) ).

fof(f1659,plain,
    ( spl6_136
    | ~ spl6_21
    | ~ spl6_44 ),
    inference(avatar_split_clause,[],[f500,f493,f346,f1657]) ).

fof(f1657,plain,
    ( spl6_136
  <=> ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP1(sdtpldt0(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).

fof(f500,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1)
        | sP1(sdtpldt0(X1,X0)) )
    | ~ spl6_21
    | ~ spl6_44 ),
    inference(resolution,[],[f494,f347]) ).

fof(f1629,plain,
    ( spl6_135
    | ~ spl6_1
    | ~ spl6_28
    | ~ spl6_36 ),
    inference(avatar_split_clause,[],[f631,f423,f385,f246,f1626]) ).

fof(f423,plain,
    ( spl6_36
  <=> sP1(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).

fof(f631,plain,
    ( ~ isPrime0(xp)
    | sP0(xp)
    | ~ spl6_28
    | ~ spl6_36 ),
    inference(resolution,[],[f425,f386]) ).

fof(f425,plain,
    ( sP1(xp)
    | ~ spl6_36 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1517,plain,
    ( spl6_134
    | ~ spl6_8
    | ~ spl6_41 ),
    inference(avatar_split_clause,[],[f481,f444,f281,f1514]) ).

fof(f481,plain,
    ( sz10 = sdtasdt0(sz10,sz10)
    | ~ spl6_8
    | ~ spl6_41 ),
    inference(resolution,[],[f445,f283]) ).

fof(f1512,plain,
    ( spl6_133
    | ~ spl6_8
    | ~ spl6_40 ),
    inference(avatar_split_clause,[],[f475,f440,f281,f1509]) ).

fof(f475,plain,
    ( sz10 = sdtpldt0(sz00,sz10)
    | ~ spl6_8
    | ~ spl6_40 ),
    inference(resolution,[],[f441,f283]) ).

fof(f1507,plain,
    ( spl6_132
    | ~ spl6_8
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f464,f436,f281,f1504]) ).

fof(f1504,plain,
    ( spl6_132
  <=> sz10 = sdtpldt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).

fof(f464,plain,
    ( sz10 = sdtpldt0(sz10,sz00)
    | ~ spl6_8
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f283]) ).

fof(f1502,plain,
    ( spl6_131
    | ~ spl6_7
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f463,f436,f276,f1499]) ).

fof(f1499,plain,
    ( spl6_131
  <=> sz00 = sdtpldt0(sz00,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).

fof(f463,plain,
    ( sz00 = sdtpldt0(sz00,sz00)
    | ~ spl6_7
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f278]) ).

fof(f1497,plain,
    ( spl6_130
    | ~ spl6_8
    | ~ spl6_38 ),
    inference(avatar_split_clause,[],[f458,f432,f281,f1494]) ).

fof(f1494,plain,
    ( spl6_130
  <=> sz00 = sdtasdt0(sz00,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).

fof(f458,plain,
    ( sz00 = sdtasdt0(sz00,sz10)
    | ~ spl6_8
    | ~ spl6_38 ),
    inference(resolution,[],[f433,f283]) ).

fof(f1492,plain,
    ( spl6_129
    | ~ spl6_8
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f452,f428,f281,f1489]) ).

fof(f1489,plain,
    ( spl6_129
  <=> sz00 = sdtasdt0(sz10,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).

fof(f452,plain,
    ( sz00 = sdtasdt0(sz10,sz00)
    | ~ spl6_8
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f283]) ).

fof(f1487,plain,
    ( spl6_128
    | ~ spl6_7
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f451,f428,f276,f1484]) ).

fof(f451,plain,
    ( sz00 = sdtasdt0(sz00,sz00)
    | ~ spl6_7
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f278]) ).

fof(f1225,plain,
    ( spl6_126
    | ~ spl6_127
    | ~ spl6_29
    | ~ spl6_30 ),
    inference(avatar_split_clause,[],[f564,f393,f389,f1222,f1218]) ).

fof(f1218,plain,
    ( spl6_126
  <=> isPrime0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).

fof(f1222,plain,
    ( spl6_127
  <=> sP0(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).

fof(f389,plain,
    ( spl6_29
  <=> ! [X0] :
        ( isPrime0(X0)
        | ~ sP0(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).

fof(f393,plain,
    ( spl6_30
  <=> sP1(xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).

fof(f564,plain,
    ( ~ sP0(xm)
    | isPrime0(xm)
    | ~ spl6_29
    | ~ spl6_30 ),
    inference(resolution,[],[f395,f390]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ sP1(X0)
        | ~ sP0(X0)
        | isPrime0(X0) )
    | ~ spl6_29 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f395,plain,
    ( sP1(xm)
    | ~ spl6_30 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1125,plain,
    ( spl6_125
    | ~ spl6_2
    | ~ spl6_42 ),
    inference(avatar_split_clause,[],[f491,f448,f251,f1122]) ).

fof(f491,plain,
    ( xr = sdtasdt0(sz10,xr)
    | ~ spl6_2
    | ~ spl6_42 ),
    inference(resolution,[],[f449,f253]) ).

fof(f1120,plain,
    ( spl6_124
    | ~ spl6_6
    | ~ spl6_42 ),
    inference(avatar_split_clause,[],[f490,f448,f271,f1117]) ).

fof(f490,plain,
    ( xp = sdtasdt0(sz10,xp)
    | ~ spl6_6
    | ~ spl6_42 ),
    inference(resolution,[],[f449,f273]) ).

fof(f1115,plain,
    ( spl6_123
    | ~ spl6_5
    | ~ spl6_42 ),
    inference(avatar_split_clause,[],[f489,f448,f266,f1112]) ).

fof(f489,plain,
    ( xm = sdtasdt0(sz10,xm)
    | ~ spl6_5
    | ~ spl6_42 ),
    inference(resolution,[],[f449,f268]) ).

fof(f1110,plain,
    ( spl6_122
    | ~ spl6_4
    | ~ spl6_42 ),
    inference(avatar_split_clause,[],[f488,f448,f261,f1107]) ).

fof(f488,plain,
    ( xn = sdtasdt0(sz10,xn)
    | ~ spl6_4
    | ~ spl6_42 ),
    inference(resolution,[],[f449,f263]) ).

fof(f1105,plain,
    ( spl6_121
    | ~ spl6_2
    | ~ spl6_41 ),
    inference(avatar_split_clause,[],[f485,f444,f251,f1102]) ).

fof(f485,plain,
    ( xr = sdtasdt0(xr,sz10)
    | ~ spl6_2
    | ~ spl6_41 ),
    inference(resolution,[],[f445,f253]) ).

fof(f1100,plain,
    ( spl6_120
    | ~ spl6_6
    | ~ spl6_41 ),
    inference(avatar_split_clause,[],[f484,f444,f271,f1097]) ).

fof(f484,plain,
    ( xp = sdtasdt0(xp,sz10)
    | ~ spl6_6
    | ~ spl6_41 ),
    inference(resolution,[],[f445,f273]) ).

fof(f1095,plain,
    ( spl6_119
    | ~ spl6_5
    | ~ spl6_41 ),
    inference(avatar_split_clause,[],[f483,f444,f266,f1092]) ).

fof(f483,plain,
    ( xm = sdtasdt0(xm,sz10)
    | ~ spl6_5
    | ~ spl6_41 ),
    inference(resolution,[],[f445,f268]) ).

fof(f1090,plain,
    ( spl6_118
    | ~ spl6_4
    | ~ spl6_41 ),
    inference(avatar_split_clause,[],[f482,f444,f261,f1087]) ).

fof(f482,plain,
    ( xn = sdtasdt0(xn,sz10)
    | ~ spl6_4
    | ~ spl6_41 ),
    inference(resolution,[],[f445,f263]) ).

fof(f1085,plain,
    ( spl6_117
    | ~ spl6_2
    | ~ spl6_40 ),
    inference(avatar_split_clause,[],[f479,f440,f251,f1082]) ).

fof(f479,plain,
    ( xr = sdtpldt0(sz00,xr)
    | ~ spl6_2
    | ~ spl6_40 ),
    inference(resolution,[],[f441,f253]) ).

fof(f1080,plain,
    ( spl6_116
    | ~ spl6_6
    | ~ spl6_40 ),
    inference(avatar_split_clause,[],[f478,f440,f271,f1077]) ).

fof(f478,plain,
    ( xp = sdtpldt0(sz00,xp)
    | ~ spl6_6
    | ~ spl6_40 ),
    inference(resolution,[],[f441,f273]) ).

fof(f1075,plain,
    ( spl6_115
    | ~ spl6_5
    | ~ spl6_40 ),
    inference(avatar_split_clause,[],[f477,f440,f266,f1072]) ).

fof(f477,plain,
    ( xm = sdtpldt0(sz00,xm)
    | ~ spl6_5
    | ~ spl6_40 ),
    inference(resolution,[],[f441,f268]) ).

fof(f1070,plain,
    ( spl6_114
    | ~ spl6_4
    | ~ spl6_40 ),
    inference(avatar_split_clause,[],[f476,f440,f261,f1067]) ).

fof(f476,plain,
    ( xn = sdtpldt0(sz00,xn)
    | ~ spl6_4
    | ~ spl6_40 ),
    inference(resolution,[],[f441,f263]) ).

fof(f1065,plain,
    ( spl6_113
    | ~ spl6_2
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f468,f436,f251,f1062]) ).

fof(f1062,plain,
    ( spl6_113
  <=> xr = sdtpldt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).

fof(f468,plain,
    ( xr = sdtpldt0(xr,sz00)
    | ~ spl6_2
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f253]) ).

fof(f1060,plain,
    ( spl6_112
    | ~ spl6_6
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f467,f436,f271,f1057]) ).

fof(f1057,plain,
    ( spl6_112
  <=> xp = sdtpldt0(xp,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).

fof(f467,plain,
    ( xp = sdtpldt0(xp,sz00)
    | ~ spl6_6
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f273]) ).

fof(f1055,plain,
    ( spl6_111
    | ~ spl6_5
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f466,f436,f266,f1052]) ).

fof(f1052,plain,
    ( spl6_111
  <=> xm = sdtpldt0(xm,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).

fof(f466,plain,
    ( xm = sdtpldt0(xm,sz00)
    | ~ spl6_5
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f268]) ).

fof(f1050,plain,
    ( spl6_110
    | ~ spl6_4
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f465,f436,f261,f1047]) ).

fof(f1047,plain,
    ( spl6_110
  <=> xn = sdtpldt0(xn,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).

fof(f465,plain,
    ( xn = sdtpldt0(xn,sz00)
    | ~ spl6_4
    | ~ spl6_39 ),
    inference(resolution,[],[f437,f263]) ).

fof(f1045,plain,
    ( spl6_109
    | ~ spl6_2
    | ~ spl6_38 ),
    inference(avatar_split_clause,[],[f462,f432,f251,f1042]) ).

fof(f1042,plain,
    ( spl6_109
  <=> sz00 = sdtasdt0(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).

fof(f462,plain,
    ( sz00 = sdtasdt0(sz00,xr)
    | ~ spl6_2
    | ~ spl6_38 ),
    inference(resolution,[],[f433,f253]) ).

fof(f1040,plain,
    ( spl6_108
    | ~ spl6_6
    | ~ spl6_38 ),
    inference(avatar_split_clause,[],[f461,f432,f271,f1037]) ).

fof(f1037,plain,
    ( spl6_108
  <=> sz00 = sdtasdt0(sz00,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).

fof(f461,plain,
    ( sz00 = sdtasdt0(sz00,xp)
    | ~ spl6_6
    | ~ spl6_38 ),
    inference(resolution,[],[f433,f273]) ).

fof(f1035,plain,
    ( spl6_107
    | ~ spl6_5
    | ~ spl6_38 ),
    inference(avatar_split_clause,[],[f460,f432,f266,f1032]) ).

fof(f1032,plain,
    ( spl6_107
  <=> sz00 = sdtasdt0(sz00,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).

fof(f460,plain,
    ( sz00 = sdtasdt0(sz00,xm)
    | ~ spl6_5
    | ~ spl6_38 ),
    inference(resolution,[],[f433,f268]) ).

fof(f1030,plain,
    ( spl6_106
    | ~ spl6_4
    | ~ spl6_38 ),
    inference(avatar_split_clause,[],[f459,f432,f261,f1027]) ).

fof(f1027,plain,
    ( spl6_106
  <=> sz00 = sdtasdt0(sz00,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).

fof(f459,plain,
    ( sz00 = sdtasdt0(sz00,xn)
    | ~ spl6_4
    | ~ spl6_38 ),
    inference(resolution,[],[f433,f263]) ).

fof(f1025,plain,
    ( spl6_105
    | ~ spl6_2
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f456,f428,f251,f1022]) ).

fof(f456,plain,
    ( sz00 = sdtasdt0(xr,sz00)
    | ~ spl6_2
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f253]) ).

fof(f1020,plain,
    ( spl6_104
    | ~ spl6_6
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f455,f428,f271,f1017]) ).

fof(f455,plain,
    ( sz00 = sdtasdt0(xp,sz00)
    | ~ spl6_6
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f273]) ).

fof(f1015,plain,
    ( spl6_103
    | ~ spl6_5
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f454,f428,f266,f1012]) ).

fof(f454,plain,
    ( sz00 = sdtasdt0(xm,sz00)
    | ~ spl6_5
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f268]) ).

fof(f1010,plain,
    ( spl6_101
    | ~ spl6_102
    | ~ spl6_24
    | ~ spl6_29 ),
    inference(avatar_split_clause,[],[f524,f389,f366,f1007,f1003]) ).

fof(f1003,plain,
    ( spl6_101
  <=> isPrime0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).

fof(f1007,plain,
    ( spl6_102
  <=> sP0(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).

fof(f366,plain,
    ( spl6_24
  <=> sP1(xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).

fof(f524,plain,
    ( ~ sP0(xn)
    | isPrime0(xn)
    | ~ spl6_24
    | ~ spl6_29 ),
    inference(resolution,[],[f368,f390]) ).

fof(f368,plain,
    ( sP1(xn)
    | ~ spl6_24 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f1001,plain,
    ( spl6_100
    | ~ spl6_4
    | ~ spl6_37 ),
    inference(avatar_split_clause,[],[f453,f428,f261,f998]) ).

fof(f453,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl6_4
    | ~ spl6_37 ),
    inference(resolution,[],[f429,f263]) ).

fof(f996,plain,
    spl6_99,
    inference(avatar_split_clause,[],[f173,f994]) ).

fof(f994,plain,
    ( spl6_99
  <=> ! [X2,X0,X1] :
        ( doDivides0(X2,X1)
        | doDivides0(X2,X0)
        | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X2,sdtasdt0(X0,X1))
        | ~ isPrime0(X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X2,X1)
      | doDivides0(X2,X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X2,X1)
      | doDivides0(X2,X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X2,X1)
      | doDivides0(X2,X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X2,sdtasdt0(X0,X1))
          & isPrime0(X2) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( doDivides0(X2,X1)
            | doDivides0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__1799) ).

fof(f983,plain,
    spl6_98,
    inference(avatar_split_clause,[],[f219,f981]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDivAsso) ).

fof(f968,plain,
    spl6_97,
    inference(avatar_split_clause,[],[f238,f966]) ).

fof(f238,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & sz00 != X0 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMonMul) ).

fof(f964,plain,
    spl6_96,
    inference(avatar_split_clause,[],[f236,f962]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f960,plain,
    spl6_95,
    inference(avatar_split_clause,[],[f222,f958]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDefQuot) ).

fof(f954,plain,
    spl6_94,
    inference(avatar_split_clause,[],[f221,f952]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f911,plain,
    spl6_93,
    inference(avatar_split_clause,[],[f234,f909]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mAMDistr) ).

fof(f907,plain,
    spl6_92,
    inference(avatar_split_clause,[],[f233,f905]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f903,plain,
    spl6_91,
    inference(avatar_split_clause,[],[f218,f901]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
              & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
              & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMonAdd) ).

fof(f899,plain,
    spl6_90,
    inference(avatar_split_clause,[],[f216,f897]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f895,plain,
    spl6_89,
    inference(avatar_split_clause,[],[f210,f893]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( sdtmndt0(X1,X0) = X2
          <=> ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDefDiff) ).

fof(f891,plain,
    spl6_88,
    inference(avatar_split_clause,[],[f187,f889]) ).

fof(f889,plain,
    ( spl6_88
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMulCanc) ).

fof(f887,plain,
    spl6_87,
    inference(avatar_split_clause,[],[f186,f885]) ).

fof(f885,plain,
    ( spl6_87
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f879,plain,
    ( ~ spl6_86
    | ~ spl6_27 ),
    inference(avatar_split_clause,[],[f383,f379,f876]) ).

fof(f379,plain,
    ( spl6_27
  <=> ! [X0] :
        ( sz10 != X0
        | ~ sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).

fof(f383,plain,
    ( ~ sP0(sz10)
    | ~ spl6_27 ),
    inference(equality_resolution,[],[f380]) ).

fof(f380,plain,
    ( ! [X0] :
        ( sz10 != X0
        | ~ sP0(X0) )
    | ~ spl6_27 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f839,plain,
    spl6_85,
    inference(avatar_split_clause,[],[f241,f837]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,sdtpldt0(X1,X2))
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDivMin) ).

fof(f835,plain,
    spl6_84,
    inference(avatar_split_clause,[],[f240,f833]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,sdtpldt0(X1,X2))
      | ~ doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,sdtpldt0(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDivSum) ).

fof(f831,plain,
    spl6_83,
    inference(avatar_split_clause,[],[f232,f829]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMulAsso) ).

fof(f827,plain,
    spl6_82,
    inference(avatar_split_clause,[],[f231,f825]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mAddAsso) ).

fof(f823,plain,
    spl6_81,
    inference(avatar_split_clause,[],[f220,f821]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f819,plain,
    ( ~ spl6_80
    | ~ spl6_26 ),
    inference(avatar_split_clause,[],[f382,f375,f816]) ).

fof(f375,plain,
    ( spl6_26
  <=> ! [X0] :
        ( sz00 != X0
        | ~ sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).

fof(f382,plain,
    ( ~ sP0(sz00)
    | ~ spl6_26 ),
    inference(equality_resolution,[],[f376]) ).

fof(f376,plain,
    ( ! [X0] :
        ( sz00 != X0
        | ~ sP0(X0) )
    | ~ spl6_26 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f814,plain,
    spl6_79,
    inference(avatar_split_clause,[],[f209,f812]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X2) = X1
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f806,plain,
    spl6_78,
    inference(avatar_split_clause,[],[f244,f804]) ).

fof(f804,plain,
    ( spl6_78
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mAddCanc) ).

fof(f802,plain,
    spl6_77,
    inference(avatar_split_clause,[],[f243,f800]) ).

fof(f800,plain,
    ( spl6_77
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f776,plain,
    spl6_76,
    inference(avatar_split_clause,[],[f242,f774]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mLETran) ).

fof(f772,plain,
    spl6_75,
    inference(avatar_split_clause,[],[f239,f770]) ).

fof(f239,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDivTrans) ).

fof(f768,plain,
    ( spl6_74
    | ~ spl6_8
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f350,f346,f281,f765]) ).

fof(f350,plain,
    ( sP1(sz10)
    | ~ spl6_8
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f283]) ).

fof(f763,plain,
    spl6_73,
    inference(avatar_split_clause,[],[f213,f761]) ).

fof(f761,plain,
    ( spl6_73
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 = X0
        | sz00 != sdtasdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtasdt0(X0,X1)
       => ( sz00 = X1
          | sz00 = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mZeroMul) ).

fof(f734,plain,
    spl6_72,
    inference(avatar_split_clause,[],[f230,f732]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
            & aNaturalNumber0(sK5(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f144,f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK5(X0,X1)) = X1
        & aNaturalNumber0(sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtpldt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDefLE) ).

fof(f730,plain,
    spl6_71,
    inference(avatar_split_clause,[],[f229,f728]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,sK5(X0,X1)) = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f726,plain,
    spl6_70,
    inference(avatar_split_clause,[],[f227,f724]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
            & aNaturalNumber0(sK4(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f140,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK4(X0,X1)) = X1
        & aNaturalNumber0(sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDefDiv) ).

fof(f722,plain,
    spl6_69,
    inference(avatar_split_clause,[],[f226,f720]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sK4(X0,X1)) = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f718,plain,
    ( spl6_68
    | ~ spl6_7
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f349,f346,f276,f715]) ).

fof(f349,plain,
    ( sP1(sz00)
    | ~ spl6_7
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f278]) ).

fof(f713,plain,
    spl6_67,
    inference(avatar_split_clause,[],[f208,f711]) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f665,plain,
    spl6_66,
    inference(avatar_split_clause,[],[f224,f663]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mLEAsym) ).

fof(f661,plain,
    spl6_65,
    inference(avatar_split_clause,[],[f223,f659]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X1
          & doDivides0(X0,X1) )
       => sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDivLE) ).

fof(f657,plain,
    spl6_64,
    inference(avatar_split_clause,[],[f214,f655]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => iLess0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mIH_03) ).

fof(f653,plain,
    spl6_63,
    inference(avatar_split_clause,[],[f192,f651]) ).

fof(f192,plain,
    ! [X2,X0] :
      ( X0 = X2
      | sz10 = X2
      | ~ doDivides0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( sK2(X0) != X0
          & sz10 != sK2(X0)
          & doDivides0(sK2(X0),X0)
          & aNaturalNumber0(sK2(X0)) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X2] :
              ( X0 = X2
              | sz10 = X2
              | ~ doDivides0(X2,X0)
              | ~ aNaturalNumber0(X2) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f130,f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( sK2(X0) != X0
        & sz10 != sK2(X0)
        & doDivides0(sK2(X0),X0)
        & aNaturalNumber0(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X2] :
              ( X0 = X2
              | sz10 = X2
              | ~ doDivides0(X2,X0)
              | ~ aNaturalNumber0(X2) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1] :
            ( X0 != X1
            & sz10 != X1
            & doDivides0(X1,X0)
            & aNaturalNumber0(X1) )
        | sz10 = X0
        | sz00 = X0 )
      & ( ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X1] :
            ( X0 = X1
            | sz10 = X1
            | ~ doDivides0(X1,X0)
            | ~ aNaturalNumber0(X1) )
        & sz10 != X0
        & sz00 != X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f647,plain,
    spl6_62,
    inference(avatar_split_clause,[],[f212,f645]) ).

fof(f645,plain,
    ( spl6_62
  <=> ! [X0,X1] :
        ( sz00 = X1
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtpldt0(X0,X1)
       => ( sz00 = X1
          & sz00 = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mZeroAdd) ).

fof(f643,plain,
    spl6_61,
    inference(avatar_split_clause,[],[f211,f641]) ).

fof(f641,plain,
    ( spl6_61
  <=> ! [X0,X1] :
        ( sz00 = X0
        | sz00 != sdtpldt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( sz00 = X0
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f639,plain,
    spl6_60,
    inference(avatar_split_clause,[],[f207,f637]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 != X0
       => sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMonMul2) ).

fof(f635,plain,
    spl6_59,
    inference(avatar_split_clause,[],[f199,f633]) ).

fof(f199,plain,
    ! [X0] :
      ( doDivides0(sK3(X0),X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ( isPrime0(sK3(X0))
        & doDivides0(sK3(X0),X0)
        & aNaturalNumber0(sK3(X0)) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f71,f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( isPrime0(sK3(X0))
        & doDivides0(sK3(X0),X0)
        & aNaturalNumber0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ( sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
     => ? [X1] :
          ( isPrime0(X1)
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mPrimDiv) ).

fof(f629,plain,
    spl6_58,
    inference(avatar_split_clause,[],[f196,f627]) ).

fof(f627,plain,
    ( spl6_58
  <=> ! [X0] :
        ( sP0(X0)
        | sK2(X0) != X0
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).

fof(f196,plain,
    ! [X0] :
      ( sP0(X0)
      | sK2(X0) != X0
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f625,plain,
    spl6_57,
    inference(avatar_split_clause,[],[f195,f623]) ).

fof(f623,plain,
    ( spl6_57
  <=> ! [X0] :
        ( sP0(X0)
        | sz10 != sK2(X0)
        | sz10 = X0
        | sz00 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).

fof(f195,plain,
    ! [X0] :
      ( sP0(X0)
      | sz10 != sK2(X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f621,plain,
    spl6_56,
    inference(avatar_split_clause,[],[f194,f619]) ).

fof(f194,plain,
    ! [X0] :
      ( sP0(X0)
      | doDivides0(sK2(X0),X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f563,plain,
    spl6_55,
    inference(avatar_split_clause,[],[f228,f561]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK5(X0,X1))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f559,plain,
    spl6_54,
    inference(avatar_split_clause,[],[f225,f557]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sK4(X0,X1))
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f555,plain,
    spl6_53,
    inference(avatar_split_clause,[],[f204,f553]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mMulComm) ).

fof(f551,plain,
    spl6_52,
    inference(avatar_split_clause,[],[f203,f549]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mAddComm) ).

fof(f547,plain,
    spl6_51,
    inference(avatar_split_clause,[],[f200,f545]) ).

fof(f545,plain,
    ( spl6_51
  <=> ! [X0] :
        ( isPrime0(sK3(X0))
        | sz10 = X0
        | sz00 = X0
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).

fof(f200,plain,
    ! [X0] :
      ( isPrime0(sK3(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f543,plain,
    spl6_50,
    inference(avatar_split_clause,[],[f198,f541]) ).

fof(f198,plain,
    ! [X0] :
      ( aNaturalNumber0(sK3(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f539,plain,
    spl6_49,
    inference(avatar_split_clause,[],[f193,f537]) ).

fof(f193,plain,
    ! [X0] :
      ( sP0(X0)
      | aNaturalNumber0(sK2(X0))
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f535,plain,
    spl6_48,
    inference(avatar_split_clause,[],[f185,f533]) ).

fof(f185,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( ( sdtlseqdt0(sz10,X0)
          & sz10 != X0 )
        | sz10 = X0
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mLENTr) ).

fof(f521,plain,
    spl6_47,
    inference(avatar_split_clause,[],[f206,f519]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mLETotal) ).

fof(f517,plain,
    spl6_46,
    inference(avatar_split_clause,[],[f205,f515]) ).

fof(f515,plain,
    ( spl6_46
  <=> ! [X0,X1] :
        ( X0 != X1
        | sdtlseqdt0(X0,X1)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( X0 != X1
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f499,plain,
    spl6_45,
    inference(avatar_split_clause,[],[f202,f497]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mSortsB_02) ).

fof(f495,plain,
    spl6_44,
    inference(avatar_split_clause,[],[f201,f493]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mSortsB) ).

fof(f473,plain,
    ( spl6_43
    | ~ spl6_2
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f354,f346,f251,f470]) ).

fof(f354,plain,
    ( sP1(xr)
    | ~ spl6_2
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f253]) ).

fof(f450,plain,
    spl6_42,
    inference(avatar_split_clause,[],[f183,f448]) ).

fof(f183,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m_MulUnit) ).

fof(f446,plain,
    spl6_41,
    inference(avatar_split_clause,[],[f182,f444]) ).

fof(f182,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f442,plain,
    spl6_40,
    inference(avatar_split_clause,[],[f181,f440]) ).

fof(f181,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m_AddZero) ).

fof(f438,plain,
    spl6_39,
    inference(avatar_split_clause,[],[f180,f436]) ).

fof(f180,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f434,plain,
    spl6_38,
    inference(avatar_split_clause,[],[f179,f432]) ).

fof(f179,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m_MulZero) ).

fof(f430,plain,
    spl6_37,
    inference(avatar_split_clause,[],[f178,f428]) ).

fof(f178,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f426,plain,
    ( spl6_36
    | ~ spl6_6
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f353,f346,f271,f423]) ).

fof(f353,plain,
    ( sP1(xp)
    | ~ spl6_6
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f273]) ).

fof(f421,plain,
    spl6_35,
    inference(avatar_split_clause,[],[f170,f418]) ).

fof(f170,plain,
    sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
    & sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
    & sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
    & sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2414) ).

fof(f416,plain,
    ~ spl6_34,
    inference(avatar_split_clause,[],[f169,f413]) ).

fof(f413,plain,
    ( spl6_34
  <=> sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).

fof(f169,plain,
    sdtasdt0(xp,xm) != sdtasdt0(xp,xk),
    inference(cnf_transformation,[],[f51]) ).

fof(f411,plain,
    spl6_33,
    inference(avatar_split_clause,[],[f168,f408]) ).

fof(f168,plain,
    sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    inference(cnf_transformation,[],[f51]) ).

fof(f406,plain,
    ~ spl6_32,
    inference(avatar_split_clause,[],[f167,f403]) ).

fof(f167,plain,
    sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
    inference(cnf_transformation,[],[f51]) ).

fof(f401,plain,
    spl6_31,
    inference(avatar_split_clause,[],[f150,f398]) ).

fof(f150,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2306) ).

fof(f396,plain,
    ( spl6_30
    | ~ spl6_5
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f352,f346,f266,f393]) ).

fof(f352,plain,
    ( sP1(xm)
    | ~ spl6_5
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f268]) ).

fof(f391,plain,
    spl6_29,
    inference(avatar_split_clause,[],[f189,f389]) ).

fof(f189,plain,
    ! [X0] :
      ( isPrime0(X0)
      | ~ sP0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ~ sP0(X0) )
        & ( sP0(X0)
          | ~ isPrime0(X0) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> sP0(X0) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f387,plain,
    spl6_28,
    inference(avatar_split_clause,[],[f188,f385]) ).

fof(f188,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ isPrime0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f381,plain,
    spl6_27,
    inference(avatar_split_clause,[],[f191,f379]) ).

fof(f191,plain,
    ! [X0] :
      ( sz10 != X0
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f377,plain,
    spl6_26,
    inference(avatar_split_clause,[],[f190,f375]) ).

fof(f190,plain,
    ! [X0] :
      ( sz00 != X0
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f373,plain,
    spl6_25,
    inference(avatar_split_clause,[],[f177,f371]) ).

fof(f177,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mLERefl) ).

fof(f369,plain,
    ( spl6_24
    | ~ spl6_4
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f351,f346,f261,f366]) ).

fof(f351,plain,
    ( sP1(xn)
    | ~ spl6_4
    | ~ spl6_21 ),
    inference(resolution,[],[f347,f263]) ).

fof(f364,plain,
    spl6_23,
    inference(avatar_split_clause,[],[f166,f361]) ).

fof(f166,plain,
    doDivides0(xr,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & sdtlseqdt0(xr,xk) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2362) ).

fof(f359,plain,
    spl6_22,
    inference(avatar_split_clause,[],[f152,f356]) ).

fof(f152,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & isPrime0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__1860) ).

fof(f348,plain,
    spl6_21,
    inference(avatar_split_clause,[],[f197,f346]) ).

fof(f197,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f69,f125,f124]) ).

fof(f69,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( isPrime0(X0)
      <=> ( ! [X1] :
              ( ( doDivides0(X1,X0)
                & aNaturalNumber0(X1) )
             => ( X0 = X1
                | sz10 = X1 ) )
          & sz10 != X0
          & sz00 != X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mDefPrime) ).

fof(f344,plain,
    ~ spl6_20,
    inference(avatar_split_clause,[],[f176,f341]) ).

fof(f341,plain,
    ( spl6_20
  <=> sz00 = sz10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).

fof(f176,plain,
    sz00 != sz10,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mSortsC_01) ).

fof(f339,plain,
    spl6_19,
    inference(avatar_split_clause,[],[f165,f336]) ).

fof(f165,plain,
    sdtlseqdt0(xr,xk),
    inference(cnf_transformation,[],[f49]) ).

fof(f334,plain,
    ~ spl6_18,
    inference(avatar_split_clause,[],[f164,f331]) ).

fof(f331,plain,
    ( spl6_18
  <=> sz10 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).

fof(f164,plain,
    sz10 != xk,
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( sz10 != xk
    & sz00 != xk ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2327) ).

fof(f329,plain,
    ~ spl6_17,
    inference(avatar_split_clause,[],[f163,f326]) ).

fof(f163,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f47]) ).

fof(f324,plain,
    spl6_16,
    inference(avatar_split_clause,[],[f162,f321]) ).

fof(f162,plain,
    sdtlseqdt0(xm,xp),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xm,xp)
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & xn != xp ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2287) ).

fof(f319,plain,
    ~ spl6_15,
    inference(avatar_split_clause,[],[f161,f316]) ).

fof(f161,plain,
    xm != xp,
    inference(cnf_transformation,[],[f44]) ).

fof(f314,plain,
    spl6_14,
    inference(avatar_split_clause,[],[f160,f311]) ).

fof(f160,plain,
    sdtlseqdt0(xn,xp),
    inference(cnf_transformation,[],[f44]) ).

fof(f309,plain,
    ~ spl6_13,
    inference(avatar_split_clause,[],[f159,f306]) ).

fof(f159,plain,
    xn != xp,
    inference(cnf_transformation,[],[f44]) ).

fof(f304,plain,
    spl6_12,
    inference(avatar_split_clause,[],[f154,f301]) ).

fof(f154,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & doDivides0(xr,xk)
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2342) ).

fof(f299,plain,
    spl6_11,
    inference(avatar_split_clause,[],[f149,f296]) ).

fof(f149,plain,
    sdtlseqdt0(xp,xk),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    sdtlseqdt0(xp,xk),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2389) ).

fof(f294,plain,
    ~ spl6_10,
    inference(avatar_split_clause,[],[f148,f291]) ).

fof(f291,plain,
    ( spl6_10
  <=> sdtlseqdt0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f148,plain,
    ~ sdtlseqdt0(xp,xm),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ sdtlseqdt0(xp,xm),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__2075) ).

fof(f289,plain,
    ~ spl6_9,
    inference(avatar_split_clause,[],[f147,f286]) ).

fof(f286,plain,
    ( spl6_9
  <=> sdtlseqdt0(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f147,plain,
    ~ sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__1870) ).

fof(f284,plain,
    spl6_8,
    inference(avatar_split_clause,[],[f175,f281]) ).

fof(f175,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f279,plain,
    spl6_7,
    inference(avatar_split_clause,[],[f174,f276]) ).

fof(f174,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',mSortsC) ).

fof(f274,plain,
    spl6_6,
    inference(avatar_split_clause,[],[f158,f271]) ).

fof(f158,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.wIOm0mZ5Le/Vampire---4.8_22791',m__1837) ).

fof(f269,plain,
    spl6_5,
    inference(avatar_split_clause,[],[f157,f266]) ).

fof(f157,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f264,plain,
    spl6_4,
    inference(avatar_split_clause,[],[f156,f261]) ).

fof(f156,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f259,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f155,f256]) ).

fof(f155,plain,
    isPrime0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f254,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f153,f251]) ).

fof(f153,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f249,plain,
    spl6_1,
    inference(avatar_split_clause,[],[f151,f246]) ).

fof(f151,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : NUM504+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n031.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 30 15:34:42 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.43  % (23055)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.43  % (23058)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.43  % (23059)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.43  % (23061)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.43  % (23060)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.16/0.43  % (23062)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.16/0.43  % (23063)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.16/0.43  % (23064)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.44  Detected minimum model sizes of [3]
% 0.23/0.44  Detected maximum model sizes of [max]
% 0.23/0.44  Detected minimum model sizes of [3]
% 0.23/0.44  Detected maximum model sizes of [max]
% 0.23/0.44  TRYING [3]
% 0.23/0.44  TRYING [3]
% 0.23/0.45  TRYING [4]
% 0.23/0.45  TRYING [4]
% 0.23/0.52  TRYING [5]
% 0.23/0.53  TRYING [5]
% 1.89/0.67  TRYING [6]
% 1.89/0.74  TRYING [6]
% 4.67/1.15  % (23062)First to succeed.
% 5.24/1.17  % (23062)Refutation found. Thanks to Tanya!
% 5.24/1.17  % SZS status Theorem for Vampire---4
% 5.24/1.17  % SZS output start Proof for Vampire---4
% See solution above
% 5.45/1.19  % (23062)------------------------------
% 5.45/1.19  % (23062)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.45/1.19  % (23062)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.45/1.19  % (23062)Termination reason: Refutation
% 5.45/1.19  
% 5.45/1.19  % (23062)Memory used [KB]: 17782
% 5.45/1.19  % (23062)Time elapsed: 0.737 s
% 5.45/1.19  % (23062)------------------------------
% 5.45/1.19  % (23062)------------------------------
% 5.45/1.19  % (23055)Success in time 0.786 s
% 5.45/1.19  % Vampire---4.8 exiting
%------------------------------------------------------------------------------