%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG059+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:18:17 EDT 2024

% Result   : Theorem 4.06s 0.94s
% Output   : Refutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :  638
% Syntax   : Number of formulae    : 3467 ( 260 unt;   0 def)
%            Number of atoms       : 14985 (5948 equ)
%            Maximal formula atoms :  450 (   4 avg)
%            Number of connectives : 20518 (9000   ~;9430   |;1611   &)
%                                         ( 477 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  633 ( 631 usr; 632 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29132,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1125,f1130,f1135,f1140,f1161,f1166,f1171,f1176,f1181,f1186,f1192,f1197,f1202,f1207,f1212,f1217,f1222,f1227,f1232,f1237,f1242,f1247,f1253,f1258,f1263,f1269,f1275,f1280,f1285,f1291,f1297,f1302,f1307,f1313,f1318,f1324,f1329,f1336,f1341,f1348,f1354,f1359,f1364,f1371,f1378,f1384,f1391,f1397,f1402,f1409,f1418,f1424,f1429,f1434,f1439,f1444,f1449,f1454,f1460,f1466,f1471,f1476,f1481,f1486,f1493,f1498,f1505,f1514,f1519,f1524,f1530,f1537,f1543,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1587,f1593,f1599,f1605,f1611,f1616,f1623,f1629,f1634,f1643,f1648,f1654,f1661,f1666,f1671,f1677,f1682,f1687,f1694,f1699,f1704,f1710,f1716,f1721,f1726,f1733,f1739,f1744,f1750,f1756,f1761,f1767,f1772,f1778,f1783,f1788,f1793,f1798,f1804,f1809,f1815,f1820,f1826,f1832,f1837,f1842,f1847,f1852,f1857,f1862,f1867,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1942,f1947,f1952,f1957,f1962,f2043,f2048,f2053,f2058,f2064,f2070,f2075,f2080,f2086,f2091,f2096,f2101,f2106,f2112,f2117,f2123,f2128,f2134,f2139,f2144,f2149,f2154,f2160,f2165,f2170,f2175,f2180,f2186,f2191,f2197,f2202,f2208,f2213,f2218,f2223,f2228,f2233,f2239,f2244,f2250,f2255,f2260,f2266,f2271,f2277,f2282,f2287,f2293,f2299,f2305,f2310,f2316,f2321,f2326,f2332,f2337,f2342,f2347,f2353,f2358,f2363,f2368,f2374,f2379,f2385,f2390,f2395,f2400,f2405,f2410,f2415,f2420,f2425,f2430,f2435,f2440,f2445,f2450,f2455,f2460,f2465,f2470,f2475,f2480,f2485,f2490,f2495,f2501,f2507,f2513,f2519,f2524,f2530,f2535,f2541,f2546,f2552,f2557,f2563,f2568,f2573,f2578,f2583,f2588,f2594,f2599,f2605,f2610,f2615,f2621,f2626,f2632,f2637,f2642,f2649,f2655,f2660,f2666,f2671,f2676,f2682,f2687,f2692,f2698,f2703,f2708,f2713,f2719,f2724,f2730,f2735,f2740,f2745,f2750,f2755,f2760,f2765,f2770,f2775,f2780,f2785,f2794,f2799,f2805,f2810,f2815,f2820,f2825,f2830,f2835,f2840,f2846,f2851,f2856,f2861,f2866,f2871,f2876,f2881,f2886,f2893,f2898,f2903,f2908,f2913,f2918,f2923,f2928,f2933,f2938,f2943,f2948,f2953,f2965,f2970,f2975,f2980,f2985,f2990,f2995,f3001,f3012,f3021,f3030,f3039,f3048,f3053,f3058,f3067,f3076,f3085,f3090,f3099,f3108,f3117,f3126,f3135,f3140,f3150,f3160,f3165,f3174,f3183,f3192,f3197,f3206,f3211,f3220,f3229,f3234,f3235,f3370,f3375,f3380,f3385,f3390,f3395,f3400,f3407,f3412,f3417,f3418,f3441,f3448,f3464,f3477,f3481,f3490,f3497,f3654,f3731,f3739,f3750,f3767,f3953,f3994,f4031,f4058,f4272,f4273,f4344,f4709,f4741,f4742,f4743,f4767,f4931,f4937,f4943,f4949,f4951,f4956,f4962,f4969,f4972,f4983,f4995,f5018,f5023,f5024,f5025,f5047,f5426,f5457,f5518,f5519,f5520,f5762,f5781,f5794,f5839,f5841,f5842,f5852,f6243,f6257,f6259,f6495,f6500,f6505,f6511,f6517,f6519,f6521,f6536,f6633,f6693,f6736,f6777,f6836,f6838,f6896,f6978,f6979,f7031,f7086,f7096,f7109,f7112,f7129,f7133,f7146,f7189,f7211,f7216,f7242,f7270,f7329,f7332,f7349,f7883,f7900,f7927,f7928,f8128,f8135,f8161,f8202,f8209,f8213,f8225,f8235,f8237,f8245,f8289,f8320,f8327,f8330,f8331,f8336,f8337,f8342,f8350,f8358,f8364,f8368,f8376,f8377,f8378,f8379,f8385,f8395,f8402,f8516,f8517,f8595,f8597,f8639,f8713,f8774,f8786,f8794,f8817,f8818,f8820,f8826,f8827,f8828,f8900,f8943,f8957,f8970,f8976,f9038,f9050,f9118,f9124,f9126,f9141,f9148,f9163,f9170,f9177,f9194,f9214,f9223,f9226,f9232,f9236,f9243,f9244,f9280,f9282,f9286,f9315,f9333,f9335,f9369,f9370,f9392,f9409,f9423,f9426,f9492,f9551,f9627,f9706,f9760,f9763,f9818,f9820,f9841,f9866,f9916,f9934,f9941,f9971,f10026,f10027,f10039,f10041,f10082,f10119,f10122,f10124,f10127,f10129,f10130,f10136,f10141,f10146,f10152,f10153,f10155,f10161,f10166,f10167,f10173,f10174,f10176,f10187,f10190,f10193,f10195,f10198,f10200,f10203,f10206,f10209,f10227,f10230,f10232,f10238,f10243,f10244,f10246,f10248,f10250,f10252,f10259,f10264,f10269,f10273,f10278,f10283,f10291,f10298,f10303,f10310,f10315,f10321,f10326,f10332,f10334,f10336,f10342,f10343,f10348,f10349,f10351,f10353,f10355,f10357,f10371,f10377,f10396,f10399,f10401,f10438,f10462,f10485,f10539,f10575,f10599,f10604,f10611,f10613,f10615,f10617,f10621,f10662,f10663,f10674,f10778,f10781,f10797,f10827,f10828,f10847,f10849,f10851,f11063,f11177,f11190,f11196,f11197,f11222,f11251,f11332,f11535,f11536,f11592,f11594,f11768,f11773,f11791,f11903,f11941,f12367,f12387,f12395,f13010,f13180,f13282,f13323,f13347,f13601,f13719,f13754,f13780,f14181,f14383,f14615,f14693,f14721,f14797,f14805,f14808,f14861,f14863,f14871,f15007,f15008,f15324,f15505,f15665,f15717,f15824,f16025,f16110,f16216,f16261,f16267,f16294,f16302,f16368,f16386,f16424,f16472,f16475,f16541,f16543,f16626,f16632,f16638,f16641,f16647,f17353,f17435,f17469,f17670,f17844,f18141,f18327,f18329,f18338,f18374,f18538,f18594,f18670,f18672,f18675,f18696,f18841,f19076,f19474,f19725,f19942,f19974,f20142,f20239,f20373,f20461,f20478,f20528,f20534,f20536,f20537,f20645,f20647,f20654,f20695,f20696,f20716,f20721,f20743,f20759,f20782,f20889,f20986,f21024,f21026,f21040,f21049,f21061,f21212,f21393,f21400,f21410,f21530,f21539,f21548,f21552,f21587,f22030,f22037,f22080,f22082,f22126,f22519,f22663,f22752,f22850,f22873,f22955,f23126,f23161,f23445,f23604,f23691,f23838,f23860,f23870,f24054,f24179,f24214,f24320,f24422,f24475,f24490,f24566,f24667,f24701,f24739,f24741,f24751,f24752,f24754,f24756,f24761,f24763,f25310,f25425,f25455,f25456,f25459,f25480,f26015,f26260,f26572,f26574,f26582,f26703,f26704,f26706,f27240,f27280,f27298,f27672,f27673,f27917,f27940,f27951,f27968,f27984,f28085,f28119,f28178,f28233,f28300,f28805,f28806,f28943,f29033,f29069,f29103,f29129,f29131]) ).

fof(f29131,plain,
    ( spl154_139
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154 ),
    inference(avatar_split_clause,[],[f4848,f1959,f1909,f1894,f1884]) ).

fof(f1884,plain,
    ( spl154_139
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_139])]) ).

fof(f1894,plain,
    ( spl154_141
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_141])]) ).

fof(f1909,plain,
    ( spl154_144
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_144])]) ).

fof(f1959,plain,
    ( spl154_154
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_154])]) ).

fof(f4848,plain,
    ( e0 = unit
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154 ),
    inference(forward_demodulation,[],[f4776,f4774]) ).

fof(f4774,plain,
    ( unit = op(unit,unit)
    | ~ spl154_141
    | ~ spl154_144 ),
    inference(superposition,[],[f1911,f1895]) ).

fof(f1895,plain,
    ( e1 = unit
    | ~ spl154_141 ),
    inference(avatar_component_clause,[],[f1894]) ).

fof(f1911,plain,
    ( e1 = op(unit,e1)
    | ~ spl154_144 ),
    inference(avatar_component_clause,[],[f1909]) ).

fof(f4776,plain,
    ( e0 = op(unit,unit)
    | ~ spl154_141
    | ~ spl154_154 ),
    inference(superposition,[],[f1961,f1895]) ).

fof(f1961,plain,
    ( e0 = op(e1,e1)
    | ~ spl154_154 ),
    inference(avatar_component_clause,[],[f1959]) ).

fof(f29129,plain,
    ( ~ spl154_187
    | ~ spl154_175
    | spl154_186 ),
    inference(avatar_split_clause,[],[f2107,f2103,f2045,f2109]) ).

fof(f2109,plain,
    ( spl154_187
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_187])]) ).

fof(f2045,plain,
    ( spl154_175
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_175])]) ).

fof(f2103,plain,
    ( spl154_186
  <=> op(e1,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_186])]) ).

fof(f2107,plain,
    ( e1 != op(e2,e0)
    | ~ spl154_175
    | spl154_186 ),
    inference(forward_demodulation,[],[f2105,f2047]) ).

fof(f2047,plain,
    ( e1 = op(e1,e0)
    | ~ spl154_175 ),
    inference(avatar_component_clause,[],[f2045]) ).

fof(f2105,plain,
    ( op(e1,e0) != op(e2,e0)
    | spl154_186 ),
    inference(avatar_component_clause,[],[f2103]) ).

fof(f29103,plain,
    ( spl154_316
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_397
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f29074,f3414,f3213,f1959,f1909,f1894,f2791]) ).

fof(f2791,plain,
    ( spl154_316
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_316])]) ).

fof(f3213,plain,
    ( spl154_397
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_397])]) ).

fof(f3414,plain,
    ( spl154_412
  <=> unit = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_412])]) ).

fof(f29074,plain,
    ( e2 = unit
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_397
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f29073,f3415]) ).

fof(f3415,plain,
    ( unit = op(unit,unit)
    | ~ spl154_412 ),
    inference(avatar_component_clause,[],[f3414]) ).

fof(f29073,plain,
    ( e2 = op(unit,unit)
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_397 ),
    inference(forward_demodulation,[],[f3214,f4848]) ).

fof(f3214,plain,
    ( op(e0,e0) = e2
    | ~ spl154_397 ),
    inference(avatar_component_clause,[],[f3213]) ).

fof(f29069,plain,
    ( spl154_140
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f29036,f7083,f3414,f3217,f3189,f2998,f1959,f1909,f1904,f1894,f1889]) ).

fof(f1889,plain,
    ( spl154_140
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_140])]) ).

fof(f1904,plain,
    ( spl154_143
  <=> e0 = op(e0,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_143])]) ).

fof(f2998,plain,
    ( spl154_352
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_352])]) ).

fof(f3189,plain,
    ( spl154_392
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_392])]) ).

fof(f3217,plain,
    ( spl154_398
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_398])]) ).

fof(f7083,plain,
    ( spl154_441
  <=> op(e3,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_441])]) ).

fof(f29036,plain,
    ( e3 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f29035]) ).

fof(f29035,plain,
    ( e3 = unit
    | e3 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29034,f3415]) ).

fof(f29034,plain,
    ( e3 = op(unit,unit)
    | e3 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29009,f4848]) ).

fof(f29009,plain,
    ( e3 = unit
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f29008]) ).

fof(f29008,plain,
    ( e3 = unit
    | e3 = unit
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29007,f4848]) ).

fof(f29007,plain,
    ( e0 = e3
    | e3 = unit
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29006,f1906]) ).

fof(f1906,plain,
    ( e0 = op(e0,unit)
    | ~ spl154_143 ),
    inference(avatar_component_clause,[],[f1904]) ).

fof(f29006,plain,
    ( e3 = op(e0,unit)
    | e3 = unit
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29005,f1895]) ).

fof(f29005,plain,
    ( e3 = unit
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f29004]) ).

fof(f29004,plain,
    ( e3 = unit
    | e3 = unit
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29003,f4848]) ).

fof(f29003,plain,
    ( e0 = e3
    | e3 = unit
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f29002,f3219]) ).

fof(f3219,plain,
    ( e0 = op(e0,e2)
    | ~ spl154_398 ),
    inference(avatar_component_clause,[],[f3217]) ).

fof(f29002,plain,
    ( e3 = unit
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28482,f4848]) ).

fof(f28482,plain,
    ( e0 = e3
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28481]) ).

fof(f28481,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28480,f3191]) ).

fof(f3191,plain,
    ( e0 = op(e0,e3)
    | ~ spl154_392 ),
    inference(avatar_component_clause,[],[f3189]) ).

fof(f28480,plain,
    ( e0 = e3
    | e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28479,f1906]) ).

fof(f28479,plain,
    ( e3 = op(e0,unit)
    | e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f901,f7087]) ).

fof(f7087,plain,
    ( e4 = unit
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(superposition,[],[f7085,f3000]) ).

fof(f3000,plain,
    ( e4 = op(e3,e3)
    | ~ spl154_352 ),
    inference(avatar_component_clause,[],[f2998]) ).

fof(f7085,plain,
    ( op(e3,e3) = unit
    | ~ spl154_441 ),
    inference(avatar_component_clause,[],[f7083]) ).

fof(f901,plain,
    ( e3 = op(e0,e4)
    | e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4) )
    & ( e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e2,e4)
      | e3 = op(e1,e4)
      | e3 = op(e0,e4) )
    & ( e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e2,e4)
      | e2 = op(e1,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e3)
      | e1 = op(e4,e2)
      | e1 = op(e4,e1)
      | e1 = op(e4,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e0,e4) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e1)
      | e0 = op(e4,e0) )
    & ( e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e3,e4)
      | e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e0) )
    & ( e3 = op(e4,e3)
      | e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e4 = op(e4,e2)
      | e4 = op(e3,e2)
      | e4 = op(e2,e2)
      | e4 = op(e1,e2)
      | e4 = op(e0,e2) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e0) )
    & ( e3 = op(e4,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e4,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e4,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e4 = op(e4,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e0,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0) )
    & ( e3 = op(e4,e1)
      | e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e4,e1)
      | e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e4,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e4)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e4 = op(e4,e0)
      | e4 = op(e3,e0)
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | op(e0,e0) = e4 )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | op(e0,e0) = e3 )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | op(e0,e0) = e2 )
    & ( e2 = op(e0,e4)
      | e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f29033,plain,
    ( spl154_316
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f28982,f7083,f3217,f3189,f3110,f2998,f1959,f1909,f1904,f1894,f2791]) ).

fof(f3110,plain,
    ( spl154_375
  <=> op(e0,e0) = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_375])]) ).

fof(f28982,plain,
    ( e2 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28981]) ).

fof(f28981,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28980,f28507]) ).

fof(f28507,plain,
    ( op(e0,e0) = unit
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f3111,f7087]) ).

fof(f3111,plain,
    ( op(e0,e0) = e4
    | ~ spl154_375 ),
    inference(avatar_component_clause,[],[f3110]) ).

fof(f28980,plain,
    ( e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28979]) ).

fof(f28979,plain,
    ( e2 = unit
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28978,f4848]) ).

fof(f28978,plain,
    ( e0 = e2
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28977,f1906]) ).

fof(f28977,plain,
    ( e2 = op(e0,unit)
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28976,f1895]) ).

fof(f28976,plain,
    ( e2 = unit
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28975]) ).

fof(f28975,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28974,f4848]) ).

fof(f28974,plain,
    ( e0 = e2
    | e2 = unit
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28973,f3219]) ).

fof(f28973,plain,
    ( e2 = unit
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28245,f4848]) ).

fof(f28245,plain,
    ( e0 = e2
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28244]) ).

fof(f28244,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f12062,f3191]) ).

fof(f12062,plain,
    ( e0 = e2
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f11347,f1906]) ).

fof(f11347,plain,
    ( e2 = op(e0,unit)
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f899,f7087]) ).

fof(f899,plain,
    ( e2 = op(e0,e4)
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f28943,plain,
    ( spl154_316
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(avatar_split_clause,[],[f28820,f16538,f7083,f3217,f3189,f3110,f2998,f1959,f1909,f1904,f1894,f2791]) ).

fof(f16538,plain,
    ( spl154_471
  <=> op(e0,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_471])]) ).

fof(f28820,plain,
    ( e2 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f28819]) ).

fof(f28819,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f28818,f4848]) ).

fof(f28818,plain,
    ( e0 = e2
    | e2 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_398
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f28817,f3219]) ).

fof(f28817,plain,
    ( e2 = unit
    | e2 = op(e0,e2)
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f28816]) ).

fof(f28816,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e0,e2)
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f28548,f4848]) ).

fof(f28548,plain,
    ( e2 = unit
    | e0 = e2
    | e2 = op(e0,e2)
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f28547]) ).

fof(f28547,plain,
    ( e2 = unit
    | e2 = unit
    | e0 = e2
    | e2 = op(e0,e2)
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_375
    | ~ spl154_392
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f28546,f28507]) ).

fof(f28546,plain,
    ( e2 = unit
    | e0 = e2
    | e2 = op(e0,e2)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f28545,f16539]) ).

fof(f16539,plain,
    ( op(e0,e1) = unit
    | ~ spl154_471 ),
    inference(avatar_component_clause,[],[f16538]) ).

fof(f28545,plain,
    ( e0 = e2
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(duplicate_literal_removal,[],[f28544]) ).

fof(f28544,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_392
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28543,f3191]) ).

fof(f28543,plain,
    ( e0 = e2
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28542,f1906]) ).

fof(f28542,plain,
    ( e2 = op(e0,unit)
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f899,f7087]) ).

fof(f28806,plain,
    ( spl154_316
    | ~ spl154_352
    | ~ spl154_368
    | ~ spl154_414
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f28697,f7083,f3434,f3078,f2998,f2791]) ).

fof(f3078,plain,
    ( spl154_368
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_368])]) ).

fof(f3434,plain,
    ( spl154_414
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_414])]) ).

fof(f28697,plain,
    ( e2 = unit
    | ~ spl154_352
    | ~ spl154_368
    | ~ spl154_414
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f12111,f7087]) ).

fof(f12111,plain,
    ( e2 = e4
    | ~ spl154_368
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f3436,f3079]) ).

fof(f3079,plain,
    ( e4 = op(e1,e2)
    | ~ spl154_368 ),
    inference(avatar_component_clause,[],[f3078]) ).

fof(f3436,plain,
    ( e2 = op(e1,e2)
    | ~ spl154_414 ),
    inference(avatar_component_clause,[],[f3434]) ).

fof(f28805,plain,
    ( ~ spl154_179
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f28687,f7083,f3414,f2998,f2067]) ).

fof(f2067,plain,
    ( spl154_179
  <=> sP124 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_179])]) ).

fof(f28687,plain,
    ( ~ sP124
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(trivial_inequality_removal,[],[f28686]) ).

fof(f28686,plain,
    ( unit != unit
    | ~ sP124
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f28685,f3415]) ).

fof(f28685,plain,
    ( unit != op(unit,unit)
    | ~ sP124
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(trivial_inequality_removal,[],[f28684]) ).

fof(f28684,plain,
    ( unit != unit
    | unit != op(unit,unit)
    | ~ sP124
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f975,f7087]) ).

fof(f975,plain,
    ( e4 != unit
    | unit != op(unit,unit)
    | ~ sP124 ),
    inference(inner_rewriting,[],[f517]) ).

fof(f517,plain,
    ( e4 != unit
    | e4 != op(e4,e4)
    | ~ sP124 ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( ( e4 != unit
      & e4 = op(e4,e4) )
    | e4 != op(e4,e4)
    | ~ sP124 ),
    inference(nnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e4 != unit
      & e4 = op(e4,e4) )
    | e4 != op(e4,e4)
    | ~ sP124 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).

fof(f28300,plain,
    ( spl154_131
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f16380,f3487,f1949,f1844]) ).

fof(f1844,plain,
    ( spl154_131
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_131])]) ).

fof(f1949,plain,
    ( spl154_152
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_152])]) ).

fof(f3487,plain,
    ( spl154_418
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_418])]) ).

fof(f16380,plain,
    ( e0 = e3
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(superposition,[],[f1951,f3489]) ).

fof(f3489,plain,
    ( e0 = op(e2,e2)
    | ~ spl154_418 ),
    inference(avatar_component_clause,[],[f3487]) ).

fof(f1951,plain,
    ( e3 = op(e2,e2)
    | ~ spl154_152 ),
    inference(avatar_component_clause,[],[f1949]) ).

fof(f28233,plain,
    ( ~ spl154_315
    | ~ spl154_352
    | spl154_441 ),
    inference(avatar_split_clause,[],[f10194,f7083,f2998,f2787]) ).

fof(f2787,plain,
    ( spl154_315
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_315])]) ).

fof(f10194,plain,
    ( e4 != unit
    | ~ spl154_352
    | spl154_441 ),
    inference(superposition,[],[f7084,f3000]) ).

fof(f7084,plain,
    ( op(e3,e3) != unit
    | spl154_441 ),
    inference(avatar_component_clause,[],[f7083]) ).

fof(f28178,plain,
    ( ~ spl154_35
    | spl154_140
    | ~ spl154_392
    | ~ spl154_427 ),
    inference(avatar_split_clause,[],[f28128,f4953,f3189,f1889,f1294]) ).

fof(f1294,plain,
    ( spl154_35
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_35])]) ).

fof(f4953,plain,
    ( spl154_427
  <=> op(e0,e0) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_427])]) ).

fof(f28128,plain,
    ( e3 = unit
    | ~ sP3
    | ~ spl154_392
    | ~ spl154_427 ),
    inference(trivial_inequality_removal,[],[f28127]) ).

fof(f28127,plain,
    ( e0 != e0
    | e3 = unit
    | ~ sP3
    | ~ spl154_392
    | ~ spl154_427 ),
    inference(forward_demodulation,[],[f28126,f3191]) ).

fof(f28126,plain,
    ( e3 = unit
    | e0 != op(e0,e3)
    | ~ sP3
    | ~ spl154_427 ),
    inference(forward_demodulation,[],[f758,f4954]) ).

fof(f4954,plain,
    ( op(e0,e0) = unit
    | ~ spl154_427 ),
    inference(avatar_component_clause,[],[f4953]) ).

fof(f758,plain,
    ( op(e0,e0) = e3
    | e0 != op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,plain,
    ( ( e0 != unit
      & op(e0,e0) = e3 )
    | e0 != op(e0,e3)
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ( e0 != unit
      & op(e0,e0) = e3 )
    | e0 != op(e0,e3)
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f28119,plain,
    ( spl154_136
    | ~ spl154_148
    | ~ spl154_238
    | ~ spl154_315 ),
    inference(avatar_split_clause,[],[f28082,f2787,f2382,f1929,f1869]) ).

fof(f1869,plain,
    ( spl154_136
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_136])]) ).

fof(f1929,plain,
    ( spl154_148
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_148])]) ).

fof(f2382,plain,
    ( spl154_238
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_238])]) ).

fof(f28082,plain,
    ( e2 = e3
    | ~ spl154_148
    | ~ spl154_238
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f28081,f1931]) ).

fof(f1931,plain,
    ( e3 = op(unit,e3)
    | ~ spl154_148 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f28081,plain,
    ( e2 = op(unit,e3)
    | ~ spl154_238
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f2383,f2788]) ).

fof(f2788,plain,
    ( e4 = unit
    | ~ spl154_315 ),
    inference(avatar_component_clause,[],[f2787]) ).

fof(f2383,plain,
    ( e2 = op(e4,e3)
    | ~ spl154_238 ),
    inference(avatar_component_clause,[],[f2382]) ).

fof(f28085,plain,
    ( spl154_130
    | ~ spl154_398
    | ~ spl154_413 ),
    inference(avatar_split_clause,[],[f28041,f3430,f3217,f1839]) ).

fof(f1839,plain,
    ( spl154_130
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_130])]) ).

fof(f3430,plain,
    ( spl154_413
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_413])]) ).

fof(f28041,plain,
    ( e0 = e2
    | ~ spl154_398
    | ~ spl154_413 ),
    inference(forward_demodulation,[],[f3432,f3219]) ).

fof(f3432,plain,
    ( e2 = op(e0,e2)
    | ~ spl154_413 ),
    inference(avatar_component_clause,[],[f3430]) ).

fof(f27984,plain,
    ( spl154_136
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f17433,f8206,f2350,f1869]) ).

fof(f2350,plain,
    ( spl154_232
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_232])]) ).

fof(f8206,plain,
    ( spl154_443
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_443])]) ).

fof(f17433,plain,
    ( e2 = e3
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f2351,f8208]) ).

fof(f8208,plain,
    ( e3 = op(e1,e3)
    | ~ spl154_443 ),
    inference(avatar_component_clause,[],[f8206]) ).

fof(f2351,plain,
    ( e2 = op(e1,e3)
    | ~ spl154_232 ),
    inference(avatar_component_clause,[],[f2350]) ).

fof(f27968,plain,
    ( spl154_131
    | ~ spl154_382
    | ~ spl154_447 ),
    inference(avatar_split_clause,[],[f27943,f8347,f3143,f1844]) ).

fof(f3143,plain,
    ( spl154_382
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_382])]) ).

fof(f8347,plain,
    ( spl154_447
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_447])]) ).

fof(f27943,plain,
    ( e0 = e3
    | ~ spl154_382
    | ~ spl154_447 ),
    inference(forward_demodulation,[],[f3144,f8349]) ).

fof(f8349,plain,
    ( e0 = op(e3,e0)
    | ~ spl154_447 ),
    inference(avatar_component_clause,[],[f8347]) ).

fof(f3144,plain,
    ( e3 = op(e3,e0)
    | ~ spl154_382 ),
    inference(avatar_component_clause,[],[f3143]) ).

fof(f27951,plain,
    ( spl154_136
    | ~ spl154_232
    | ~ spl154_328
    | ~ spl154_381 ),
    inference(avatar_split_clause,[],[f27881,f3137,f2858,f2350,f1869]) ).

fof(f2858,plain,
    ( spl154_328
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_328])]) ).

fof(f3137,plain,
    ( spl154_381
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_381])]) ).

fof(f27881,plain,
    ( e2 = e3
    | ~ spl154_232
    | ~ spl154_328
    | ~ spl154_381 ),
    inference(forward_demodulation,[],[f2351,f25240]) ).

fof(f25240,plain,
    ( e3 = op(e1,e3)
    | ~ spl154_328
    | ~ spl154_381 ),
    inference(forward_demodulation,[],[f2859,f3138]) ).

fof(f3138,plain,
    ( e3 = op(e3,e1)
    | ~ spl154_381 ),
    inference(avatar_component_clause,[],[f3137]) ).

fof(f2859,plain,
    ( op(e1,e3) = op(e3,e1)
    | ~ spl154_328 ),
    inference(avatar_component_clause,[],[f2858]) ).

fof(f27940,plain,
    ( spl154_131
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_379 ),
    inference(avatar_split_clause,[],[f20761,f3128,f2787,f1899,f1844]) ).

fof(f1899,plain,
    ( spl154_142
  <=> e0 = op(unit,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_142])]) ).

fof(f3128,plain,
    ( spl154_379
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_379])]) ).

fof(f20761,plain,
    ( e0 = e3
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_379 ),
    inference(forward_demodulation,[],[f20760,f1901]) ).

fof(f1901,plain,
    ( e0 = op(unit,e0)
    | ~ spl154_142 ),
    inference(avatar_component_clause,[],[f1899]) ).

fof(f20760,plain,
    ( e3 = op(unit,e0)
    | ~ spl154_315
    | ~ spl154_379 ),
    inference(forward_demodulation,[],[f3129,f2788]) ).

fof(f3129,plain,
    ( e3 = op(e4,e0)
    | ~ spl154_379 ),
    inference(avatar_component_clause,[],[f3128]) ).

fof(f27917,plain,
    ( spl154_134
    | ~ spl154_145
    | ~ spl154_151
    | ~ spl154_384
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f9362,f4966,f3153,f1944,f1914,f1859]) ).

fof(f1859,plain,
    ( spl154_134
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_134])]) ).

fof(f1914,plain,
    ( spl154_145
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_145])]) ).

fof(f1944,plain,
    ( spl154_151
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_151])]) ).

fof(f3153,plain,
    ( spl154_384
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_384])]) ).

fof(f4966,plain,
    ( spl154_429
  <=> unit = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_429])]) ).

fof(f9362,plain,
    ( e1 = e3
    | ~ spl154_145
    | ~ spl154_151
    | ~ spl154_384
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f8447,f1916]) ).

fof(f1916,plain,
    ( e1 = op(e1,unit)
    | ~ spl154_145 ),
    inference(avatar_component_clause,[],[f1914]) ).

fof(f8447,plain,
    ( e3 = op(e1,unit)
    | ~ spl154_151
    | ~ spl154_384
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f3154,f4970]) ).

fof(f4970,plain,
    ( e4 = unit
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(superposition,[],[f4968,f1946]) ).

fof(f1946,plain,
    ( e4 = op(e4,unit)
    | ~ spl154_151 ),
    inference(avatar_component_clause,[],[f1944]) ).

fof(f4968,plain,
    ( unit = op(e4,unit)
    | ~ spl154_429 ),
    inference(avatar_component_clause,[],[f4966]) ).

fof(f3154,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_384 ),
    inference(avatar_component_clause,[],[f3153]) ).

fof(f27673,plain,
    ( spl154_134
    | ~ spl154_175
    | ~ spl154_386 ),
    inference(avatar_split_clause,[],[f24035,f3162,f2045,f1859]) ).

fof(f3162,plain,
    ( spl154_386
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_386])]) ).

fof(f24035,plain,
    ( e1 = e3
    | ~ spl154_175
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f3163,f2047]) ).

fof(f3163,plain,
    ( e3 = op(e1,e0)
    | ~ spl154_386 ),
    inference(avatar_component_clause,[],[f3162]) ).

fof(f27672,plain,
    ( ~ spl154_28
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_386
    | ~ spl154_471 ),
    inference(avatar_split_clause,[],[f27652,f16538,f3162,f2787,f2045,f1255]) ).

fof(f1255,plain,
    ( spl154_28
  <=> sP103 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_28])]) ).

fof(f27652,plain,
    ( ~ sP103
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_386
    | ~ spl154_471 ),
    inference(trivial_inequality_removal,[],[f27651]) ).

fof(f27651,plain,
    ( unit != unit
    | ~ sP103
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_386
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f27650,f16539]) ).

fof(f27650,plain,
    ( op(e0,e1) != unit
    | ~ sP103
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f26595,f24035]) ).

fof(f26595,plain,
    ( op(e0,e3) != unit
    | ~ sP103
    | ~ spl154_315 ),
    inference(trivial_inequality_removal,[],[f26594]) ).

fof(f26594,plain,
    ( unit != unit
    | op(e0,e3) != unit
    | ~ sP103
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f996,f2788]) ).

fof(f996,plain,
    ( e4 != unit
    | op(e0,e3) != unit
    | ~ sP103 ),
    inference(inner_rewriting,[],[f559]) ).

fof(f559,plain,
    ( e4 != unit
    | e4 != op(e0,e3)
    | ~ sP103 ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ( ( e4 != unit
      & e3 = op(e0,e4) )
    | e4 != op(e0,e3)
    | ~ sP103 ),
    inference(nnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e4 != unit
      & e3 = op(e0,e4) )
    | e4 != op(e0,e3)
    | ~ sP103 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).

fof(f27298,plain,
    ( spl154_141
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_355
    | ~ spl154_386
    | ~ spl154_449 ),
    inference(avatar_split_clause,[],[f27261,f8361,f3162,f3018,f2787,f2045,f1894]) ).

fof(f3018,plain,
    ( spl154_355
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_355])]) ).

fof(f8361,plain,
    ( spl154_449
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_449])]) ).

fof(f27261,plain,
    ( e1 = unit
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_355
    | ~ spl154_386
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f24035,f26691]) ).

fof(f26691,plain,
    ( e3 = unit
    | ~ spl154_315
    | ~ spl154_355
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f10784,f2788]) ).

fof(f10784,plain,
    ( e3 = e4
    | ~ spl154_355
    | ~ spl154_449 ),
    inference(superposition,[],[f3020,f8363]) ).

fof(f8363,plain,
    ( e4 = op(e4,e4)
    | ~ spl154_449 ),
    inference(avatar_component_clause,[],[f8361]) ).

fof(f3020,plain,
    ( e3 = op(e4,e4)
    | ~ spl154_355 ),
    inference(avatar_component_clause,[],[f3018]) ).

fof(f27280,plain,
    ( spl154_133
    | ~ spl154_285
    | ~ spl154_428 ),
    inference(avatar_split_clause,[],[f27252,f4959,f2629,f1854]) ).

fof(f1854,plain,
    ( spl154_133
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_133])]) ).

fof(f2629,plain,
    ( spl154_285
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_285])]) ).

fof(f4959,plain,
    ( spl154_428
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_428])]) ).

fof(f27252,plain,
    ( e1 = e2
    | ~ spl154_285
    | ~ spl154_428 ),
    inference(forward_demodulation,[],[f2630,f4961]) ).

fof(f4961,plain,
    ( e1 = op(e2,e1)
    | ~ spl154_428 ),
    inference(avatar_component_clause,[],[f4959]) ).

fof(f2630,plain,
    ( e2 = op(e2,e1)
    | ~ spl154_285 ),
    inference(avatar_component_clause,[],[f2629]) ).

fof(f27240,plain,
    ( ~ spl154_147
    | ~ spl154_176
    | spl154_290
    | ~ spl154_315 ),
    inference(avatar_split_clause,[],[f24312,f2787,f2657,f2050,f1924]) ).

fof(f1924,plain,
    ( spl154_147
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_147])]) ).

fof(f2050,plain,
    ( spl154_176
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_176])]) ).

fof(f2657,plain,
    ( spl154_290
  <=> op(e2,e3) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_290])]) ).

fof(f24312,plain,
    ( e2 != op(e2,unit)
    | ~ spl154_176
    | spl154_290
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f2661,f2788]) ).

fof(f2661,plain,
    ( e2 != op(e2,e4)
    | ~ spl154_176
    | spl154_290 ),
    inference(forward_demodulation,[],[f2659,f2052]) ).

fof(f2052,plain,
    ( e2 = op(e2,e3)
    | ~ spl154_176 ),
    inference(avatar_component_clause,[],[f2050]) ).

fof(f2659,plain,
    ( op(e2,e3) != op(e2,e4)
    | spl154_290 ),
    inference(avatar_component_clause,[],[f2657]) ).

fof(f26706,plain,
    ( ~ spl154_147
    | ~ spl154_147
    | spl154_348
    | ~ spl154_439
    | ~ spl154_465 ),
    inference(avatar_split_clause,[],[f25261,f10240,f6833,f2977,f1924,f1924]) ).

fof(f2977,plain,
    ( spl154_348
  <=> e2 = op(op(e2,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_348])]) ).

fof(f6833,plain,
    ( spl154_439
  <=> unit = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_439])]) ).

fof(f10240,plain,
    ( spl154_465
  <=> e3 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_465])]) ).

fof(f25261,plain,
    ( e2 != op(e2,unit)
    | ~ spl154_147
    | spl154_348
    | ~ spl154_439
    | ~ spl154_465 ),
    inference(forward_demodulation,[],[f25260,f1926]) ).

fof(f1926,plain,
    ( e2 = op(e2,unit)
    | ~ spl154_147 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f25260,plain,
    ( e2 != op(op(e2,unit),unit)
    | spl154_348
    | ~ spl154_439
    | ~ spl154_465 ),
    inference(forward_demodulation,[],[f2978,f21034]) ).

fof(f21034,plain,
    ( e3 = unit
    | ~ spl154_439
    | ~ spl154_465 ),
    inference(forward_demodulation,[],[f10241,f6834]) ).

fof(f6834,plain,
    ( unit = op(unit,e4)
    | ~ spl154_439 ),
    inference(avatar_component_clause,[],[f6833]) ).

fof(f10241,plain,
    ( e3 = op(unit,e4)
    | ~ spl154_465 ),
    inference(avatar_component_clause,[],[f10240]) ).

fof(f2978,plain,
    ( e2 != op(op(e2,e3),e3)
    | spl154_348 ),
    inference(avatar_component_clause,[],[f2977]) ).

fof(f26704,plain,
    ( ~ spl154_435
    | ~ spl154_315
    | spl154_425 ),
    inference(avatar_split_clause,[],[f24753,f4940,f2787,f6502]) ).

fof(f6502,plain,
    ( spl154_435
  <=> unit = op(e0,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_435])]) ).

fof(f4940,plain,
    ( spl154_425
  <=> op(e0,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_425])]) ).

fof(f24753,plain,
    ( unit != op(e0,unit)
    | ~ spl154_315
    | spl154_425 ),
    inference(forward_demodulation,[],[f4942,f2788]) ).

fof(f4942,plain,
    ( op(e0,e4) != unit
    | spl154_425 ),
    inference(avatar_component_clause,[],[f4940]) ).

fof(f26703,plain,
    ( ~ spl154_103
    | ~ spl154_315
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f26601,f2998,f2787,f1691]) ).

fof(f1691,plain,
    ( spl154_103
  <=> sP118 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_103])]) ).

fof(f26601,plain,
    ( ~ sP118
    | ~ spl154_315
    | ~ spl154_352 ),
    inference(trivial_inequality_removal,[],[f26600]) ).

fof(f26600,plain,
    ( unit != unit
    | ~ sP118
    | ~ spl154_315
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f26599,f2788]) ).

fof(f26599,plain,
    ( e4 != unit
    | ~ sP118
    | ~ spl154_315
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f26598,f3000]) ).

fof(f26598,plain,
    ( op(e3,e3) != unit
    | ~ sP118
    | ~ spl154_315 ),
    inference(trivial_inequality_removal,[],[f26597]) ).

fof(f26597,plain,
    ( unit != unit
    | op(e3,e3) != unit
    | ~ sP118
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f981,f2788]) ).

fof(f981,plain,
    ( e4 != unit
    | op(e3,e3) != unit
    | ~ sP118 ),
    inference(inner_rewriting,[],[f529]) ).

fof(f529,plain,
    ( e4 != unit
    | e4 != op(e3,e3)
    | ~ sP118 ),
    inference(cnf_transformation,[],[f200]) ).

fof(f200,plain,
    ( ( e4 != unit
      & e3 = op(e3,e4) )
    | e4 != op(e3,e3)
    | ~ sP118 ),
    inference(nnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e4 != unit
      & e3 = op(e3,e4) )
    | e4 != op(e3,e3)
    | ~ sP118 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).

fof(f26582,plain,
    ( ~ spl154_315
    | spl154_449
    | ~ spl154_454 ),
    inference(avatar_split_clause,[],[f9402,f9389,f8361,f2787]) ).

fof(f9389,plain,
    ( spl154_454
  <=> op(e4,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_454])]) ).

fof(f9402,plain,
    ( e4 != unit
    | spl154_449
    | ~ spl154_454 ),
    inference(superposition,[],[f8362,f9391]) ).

fof(f9391,plain,
    ( op(e4,e4) = unit
    | ~ spl154_454 ),
    inference(avatar_component_clause,[],[f9389]) ).

fof(f8362,plain,
    ( e4 != op(e4,e4)
    | spl154_449 ),
    inference(avatar_component_clause,[],[f8361]) ).

fof(f26574,plain,
    ( spl154_471
    | ~ spl154_315
    | ~ spl154_373 ),
    inference(avatar_split_clause,[],[f24693,f3101,f2787,f16538]) ).

fof(f3101,plain,
    ( spl154_373
  <=> e4 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_373])]) ).

fof(f24693,plain,
    ( op(e0,e1) = unit
    | ~ spl154_315
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f3102,f2788]) ).

fof(f3102,plain,
    ( e4 = op(e0,e1)
    | ~ spl154_373 ),
    inference(avatar_component_clause,[],[f3101]) ).

fof(f26572,plain,
    ( ~ spl154_477
    | ~ spl154_315
    | spl154_359 ),
    inference(avatar_split_clause,[],[f23124,f3036,f2787,f26569]) ).

fof(f26569,plain,
    ( spl154_477
  <=> e1 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_477])]) ).

fof(f3036,plain,
    ( spl154_359
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_359])]) ).

fof(f23124,plain,
    ( e1 != op(unit,unit)
    | ~ spl154_315
    | spl154_359 ),
    inference(forward_demodulation,[],[f3037,f2788]) ).

fof(f3037,plain,
    ( e1 != op(e4,e4)
    | spl154_359 ),
    inference(avatar_component_clause,[],[f3036]) ).

fof(f26260,plain,
    ( spl154_139
    | ~ spl154_398
    | ~ spl154_474 ),
    inference(avatar_split_clause,[],[f25955,f16635,f3217,f1884]) ).

fof(f16635,plain,
    ( spl154_474
  <=> op(e0,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_474])]) ).

fof(f25955,plain,
    ( e0 = unit
    | ~ spl154_398
    | ~ spl154_474 ),
    inference(forward_demodulation,[],[f3219,f16636]) ).

fof(f16636,plain,
    ( op(e0,e2) = unit
    | ~ spl154_474 ),
    inference(avatar_component_clause,[],[f16635]) ).

fof(f26015,plain,
    ( spl154_139
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_366
    | ~ spl154_373 ),
    inference(avatar_split_clause,[],[f25872,f3101,f3069,f2972,f2787,f1899,f1884]) ).

fof(f2972,plain,
    ( spl154_347
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_347])]) ).

fof(f3069,plain,
    ( spl154_366
  <=> e4 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_366])]) ).

fof(f25872,plain,
    ( e0 = unit
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_366
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f25871,f2788]) ).

fof(f25871,plain,
    ( e0 = e4
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_366
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f25870,f1901]) ).

fof(f25870,plain,
    ( e4 = op(unit,e0)
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_366
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f3070,f24700]) ).

fof(f24700,plain,
    ( e2 = unit
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f2973,f24693]) ).

fof(f2973,plain,
    ( e2 = op(e0,e1)
    | ~ spl154_347 ),
    inference(avatar_component_clause,[],[f2972]) ).

fof(f3070,plain,
    ( e4 = op(e2,e0)
    | ~ spl154_366 ),
    inference(avatar_component_clause,[],[f3069]) ).

fof(f25480,plain,
    ( spl154_130
    | ~ spl154_146
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f20737,f16623,f1919,f1839]) ).

fof(f1919,plain,
    ( spl154_146
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_146])]) ).

fof(f16623,plain,
    ( spl154_472
  <=> e0 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_472])]) ).

fof(f20737,plain,
    ( e0 = e2
    | ~ spl154_146
    | ~ spl154_472 ),
    inference(superposition,[],[f16624,f1921]) ).

fof(f1921,plain,
    ( e2 = op(unit,e2)
    | ~ spl154_146 ),
    inference(avatar_component_clause,[],[f1919]) ).

fof(f16624,plain,
    ( e0 = op(unit,e2)
    | ~ spl154_472 ),
    inference(avatar_component_clause,[],[f16623]) ).

fof(f25459,plain,
    ( ~ spl154_412
    | ~ spl154_315
    | spl154_454 ),
    inference(avatar_split_clause,[],[f21032,f9389,f2787,f3414]) ).

fof(f21032,plain,
    ( unit != op(unit,unit)
    | ~ spl154_315
    | spl154_454 ),
    inference(forward_demodulation,[],[f9390,f2788]) ).

fof(f9390,plain,
    ( op(e4,e4) != unit
    | spl154_454 ),
    inference(avatar_component_clause,[],[f9389]) ).

fof(f25456,plain,
    ( ~ spl154_144
    | ~ spl154_145
    | ~ spl154_315
    | spl154_330 ),
    inference(avatar_split_clause,[],[f20002,f2868,f2787,f1914,f1909]) ).

fof(f2868,plain,
    ( spl154_330
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_330])]) ).

fof(f20002,plain,
    ( e1 != op(unit,e1)
    | ~ spl154_145
    | ~ spl154_315
    | spl154_330 ),
    inference(forward_demodulation,[],[f20001,f1916]) ).

fof(f20001,plain,
    ( op(unit,e1) != op(e1,unit)
    | ~ spl154_315
    | spl154_330 ),
    inference(forward_demodulation,[],[f2870,f2788]) ).

fof(f2870,plain,
    ( op(e1,e4) != op(e4,e1)
    | spl154_330 ),
    inference(avatar_component_clause,[],[f2868]) ).

fof(f25455,plain,
    ( spl154_412
    | ~ spl154_151
    | ~ spl154_429
    | ~ spl154_439 ),
    inference(avatar_split_clause,[],[f8412,f6833,f4966,f1944,f3414]) ).

fof(f8412,plain,
    ( unit = op(unit,unit)
    | ~ spl154_151
    | ~ spl154_429
    | ~ spl154_439 ),
    inference(forward_demodulation,[],[f6834,f4970]) ).

fof(f25425,plain,
    ( spl154_139
    | ~ spl154_151
    | ~ spl154_361
    | ~ spl154_429
    | ~ spl154_439 ),
    inference(avatar_split_clause,[],[f25422,f6833,f4966,f3045,f1944,f1884]) ).

fof(f3045,plain,
    ( spl154_361
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_361])]) ).

fof(f25422,plain,
    ( e0 = unit
    | ~ spl154_151
    | ~ spl154_361
    | ~ spl154_429
    | ~ spl154_439 ),
    inference(forward_demodulation,[],[f17446,f8412]) ).

fof(f17446,plain,
    ( e0 = op(unit,unit)
    | ~ spl154_151
    | ~ spl154_361
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f3047,f4970]) ).

fof(f3047,plain,
    ( e0 = op(e4,e4)
    | ~ spl154_361 ),
    inference(avatar_component_clause,[],[f3045]) ).

fof(f25310,plain,
    ( spl154_412
    | ~ spl154_315
    | ~ spl154_449 ),
    inference(avatar_split_clause,[],[f19718,f8361,f2787,f3414]) ).

fof(f19718,plain,
    ( unit = op(unit,unit)
    | ~ spl154_315
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f8363,f2788]) ).

fof(f24763,plain,
    ( ~ spl154_315
    | ~ spl154_140
    | ~ spl154_149
    | spl154_304
    | ~ spl154_455 ),
    inference(avatar_split_clause,[],[f20698,f9406,f2732,f1934,f1889,f2787]) ).

fof(f1934,plain,
    ( spl154_149
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_149])]) ).

fof(f2732,plain,
    ( spl154_304
  <=> op(e3,e3) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_304])]) ).

fof(f9406,plain,
    ( spl154_455
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_455])]) ).

fof(f20698,plain,
    ( e4 != unit
    | ~ spl154_140
    | ~ spl154_149
    | spl154_304
    | ~ spl154_455 ),
    inference(forward_demodulation,[],[f20697,f12234]) ).

fof(f12234,plain,
    ( unit = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_149 ),
    inference(superposition,[],[f1936,f1890]) ).

fof(f1890,plain,
    ( e3 = unit
    | ~ spl154_140 ),
    inference(avatar_component_clause,[],[f1889]) ).

fof(f1936,plain,
    ( e3 = op(e3,unit)
    | ~ spl154_149 ),
    inference(avatar_component_clause,[],[f1934]) ).

fof(f20697,plain,
    ( e4 != op(unit,unit)
    | ~ spl154_140
    | spl154_304
    | ~ spl154_455 ),
    inference(forward_demodulation,[],[f9415,f1890]) ).

fof(f9415,plain,
    ( e4 != op(e3,e3)
    | spl154_304
    | ~ spl154_455 ),
    inference(superposition,[],[f2734,f9408]) ).

fof(f9408,plain,
    ( e4 = op(e3,e4)
    | ~ spl154_455 ),
    inference(avatar_component_clause,[],[f9406]) ).

fof(f2734,plain,
    ( op(e3,e3) != op(e3,e4)
    | spl154_304 ),
    inference(avatar_component_clause,[],[f2732]) ).

fof(f24761,plain,
    ( ~ spl154_411
    | ~ spl154_315
    | spl154_368 ),
    inference(avatar_split_clause,[],[f23743,f3078,f2787,f3409]) ).

fof(f3409,plain,
    ( spl154_411
  <=> op(e1,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_411])]) ).

fof(f23743,plain,
    ( op(e1,e2) != unit
    | ~ spl154_315
    | spl154_368 ),
    inference(forward_demodulation,[],[f3080,f2788]) ).

fof(f3080,plain,
    ( e4 != op(e1,e2)
    | spl154_368 ),
    inference(avatar_component_clause,[],[f3078]) ).

fof(f24756,plain,
    ( spl154_450
    | ~ spl154_315
    | ~ spl154_417 ),
    inference(avatar_split_clause,[],[f23436,f3461,f2787,f8814]) ).

fof(f8814,plain,
    ( spl154_450
  <=> unit = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_450])]) ).

fof(f3461,plain,
    ( spl154_417
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_417])]) ).

fof(f23436,plain,
    ( unit = op(e2,unit)
    | ~ spl154_315
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f3463,f2788]) ).

fof(f3463,plain,
    ( e4 = op(e2,e4)
    | ~ spl154_417 ),
    inference(avatar_component_clause,[],[f3461]) ).

fof(f24754,plain,
    ( spl154_433
    | ~ spl154_315
    | ~ spl154_404 ),
    inference(avatar_split_clause,[],[f23129,f3372,f2787,f6254]) ).

fof(f6254,plain,
    ( spl154_433
  <=> unit = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_433])]) ).

fof(f3372,plain,
    ( spl154_404
  <=> op(e4,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_404])]) ).

fof(f23129,plain,
    ( unit = op(unit,e1)
    | ~ spl154_315
    | ~ spl154_404 ),
    inference(forward_demodulation,[],[f3373,f2788]) ).

fof(f3373,plain,
    ( op(e4,e1) = unit
    | ~ spl154_404 ),
    inference(avatar_component_clause,[],[f3372]) ).

fof(f24752,plain,
    ( spl154_435
    | ~ spl154_315
    | ~ spl154_425 ),
    inference(avatar_split_clause,[],[f22629,f4940,f2787,f6502]) ).

fof(f22629,plain,
    ( unit = op(e0,unit)
    | ~ spl154_315
    | ~ spl154_425 ),
    inference(forward_demodulation,[],[f4941,f2788]) ).

fof(f4941,plain,
    ( op(e0,e4) = unit
    | ~ spl154_425 ),
    inference(avatar_component_clause,[],[f4940]) ).

fof(f24751,plain,
    ( spl154_427
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f21022,f16623,f6497,f1919,f4953]) ).

fof(f6497,plain,
    ( spl154_434
  <=> op(e2,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_434])]) ).

fof(f21022,plain,
    ( op(e0,e0) = unit
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f6498,f20737]) ).

fof(f6498,plain,
    ( op(e2,e2) = unit
    | ~ spl154_434 ),
    inference(avatar_component_clause,[],[f6497]) ).

fof(f24741,plain,
    ( spl154_459
    | ~ spl154_140
    | ~ spl154_410 ),
    inference(avatar_split_clause,[],[f16415,f3404,f1889,f10149]) ).

fof(f10149,plain,
    ( spl154_459
  <=> unit = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_459])]) ).

fof(f3404,plain,
    ( spl154_410
  <=> op(e1,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_410])]) ).

fof(f16415,plain,
    ( unit = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_410 ),
    inference(forward_demodulation,[],[f3405,f1890]) ).

fof(f3405,plain,
    ( op(e1,e3) = unit
    | ~ spl154_410 ),
    inference(avatar_component_clause,[],[f3404]) ).

fof(f24739,plain,
    ( ~ spl154_476
    | ~ spl154_152
    | spl154_401
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f11537,f6497,f3231,f1949,f24736]) ).

fof(f24736,plain,
    ( spl154_476
  <=> e0 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_476])]) ).

fof(f3231,plain,
    ( spl154_401
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_401])]) ).

fof(f11537,plain,
    ( e0 != op(e2,unit)
    | ~ spl154_152
    | spl154_401
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f3233,f8199]) ).

fof(f8199,plain,
    ( e3 = unit
    | ~ spl154_152
    | ~ spl154_434 ),
    inference(superposition,[],[f6498,f1951]) ).

fof(f3233,plain,
    ( e0 != op(e2,e3)
    | spl154_401 ),
    inference(avatar_component_clause,[],[f3231]) ).

fof(f24701,plain,
    ( ~ spl154_140
    | ~ spl154_148
    | spl154_430 ),
    inference(avatar_split_clause,[],[f10618,f5015,f1929,f1889]) ).

fof(f5015,plain,
    ( spl154_430
  <=> unit = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_430])]) ).

fof(f10618,plain,
    ( e3 != unit
    | ~ spl154_148
    | spl154_430 ),
    inference(superposition,[],[f5016,f1931]) ).

fof(f5016,plain,
    ( unit != op(unit,e3)
    | spl154_430 ),
    inference(avatar_component_clause,[],[f5015]) ).

fof(f24667,plain,
    ( spl154_141
    | ~ spl154_315
    | ~ spl154_318
    | ~ spl154_373 ),
    inference(avatar_split_clause,[],[f24597,f3101,f2802,f2787,f1894]) ).

fof(f2802,plain,
    ( spl154_318
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_318])]) ).

fof(f24597,plain,
    ( e1 = unit
    | ~ spl154_315
    | ~ spl154_318
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f24596,f2788]) ).

fof(f24596,plain,
    ( e1 = e4
    | ~ spl154_318
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f3102,f2803]) ).

fof(f2803,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_318 ),
    inference(avatar_component_clause,[],[f2802]) ).

fof(f24566,plain,
    ( spl154_139
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_446
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f24488,f16623,f8339,f6497,f1919,f1884]) ).

fof(f8339,plain,
    ( spl154_446
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_446])]) ).

fof(f24488,plain,
    ( e0 = unit
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_446
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f24487,f21022]) ).

fof(f24487,plain,
    ( e0 = op(e0,e0)
    | ~ spl154_146
    | ~ spl154_446
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f8341,f20737]) ).

fof(f8341,plain,
    ( e0 = op(e2,e0)
    | ~ spl154_446 ),
    inference(avatar_component_clause,[],[f8339]) ).

fof(f24490,plain,
    ( spl154_141
    | ~ spl154_146
    | ~ spl154_182
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f24478,f16623,f6497,f2083,f1919,f1894]) ).

fof(f2083,plain,
    ( spl154_182
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_182])]) ).

fof(f24478,plain,
    ( e1 = unit
    | ~ spl154_146
    | ~ spl154_182
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f2084,f21022]) ).

fof(f2084,plain,
    ( op(e0,e0) = e1
    | ~ spl154_182 ),
    inference(avatar_component_clause,[],[f2083]) ).

fof(f24475,plain,
    ( spl154_141
    | ~ spl154_146
    | ~ spl154_187
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f24472,f16623,f6497,f2109,f1919,f1894]) ).

fof(f24472,plain,
    ( e1 = unit
    | ~ spl154_146
    | ~ spl154_187
    | ~ spl154_434
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f24471,f21022]) ).

fof(f24471,plain,
    ( op(e0,e0) = e1
    | ~ spl154_146
    | ~ spl154_187
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f2110,f20737]) ).

fof(f2110,plain,
    ( e1 = op(e2,e0)
    | ~ spl154_187 ),
    inference(avatar_component_clause,[],[f2109]) ).

fof(f24422,plain,
    ( spl154_139
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_444
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f24284,f16623,f8232,f6497,f1919,f1884]) ).

fof(f8232,plain,
    ( spl154_444
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_444])]) ).

fof(f24284,plain,
    ( e0 = unit
    | ~ spl154_146
    | ~ spl154_434
    | ~ spl154_444
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f8234,f21022]) ).

fof(f8234,plain,
    ( e0 = op(e0,e0)
    | ~ spl154_444 ),
    inference(avatar_component_clause,[],[f8232]) ).

fof(f24320,plain,
    ( spl154_130
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_372 ),
    inference(avatar_split_clause,[],[f24044,f3096,f2787,f1904,f1839]) ).

fof(f3096,plain,
    ( spl154_372
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_372])]) ).

fof(f24044,plain,
    ( e0 = e2
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_372 ),
    inference(forward_demodulation,[],[f24043,f1906]) ).

fof(f24043,plain,
    ( e2 = op(e0,unit)
    | ~ spl154_315
    | ~ spl154_372 ),
    inference(forward_demodulation,[],[f3098,f2788]) ).

fof(f3098,plain,
    ( e2 = op(e0,e4)
    | ~ spl154_372 ),
    inference(avatar_component_clause,[],[f3096]) ).

fof(f24214,plain,
    ( spl154_129
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_374 ),
    inference(avatar_split_clause,[],[f24041,f3105,f2787,f1904,f1834]) ).

fof(f1834,plain,
    ( spl154_129
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_129])]) ).

fof(f3105,plain,
    ( spl154_374
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_374])]) ).

fof(f24041,plain,
    ( e0 = e1
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_374 ),
    inference(forward_demodulation,[],[f24040,f1906]) ).

fof(f24040,plain,
    ( e1 = op(e0,unit)
    | ~ spl154_315
    | ~ spl154_374 ),
    inference(forward_demodulation,[],[f3107,f2788]) ).

fof(f3107,plain,
    ( e1 = op(e0,e4)
    | ~ spl154_374 ),
    inference(avatar_component_clause,[],[f3105]) ).

fof(f24179,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_175
    | ~ spl154_386 ),
    inference(avatar_split_clause,[],[f24036,f3162,f2045,f1889,f1894]) ).

fof(f24036,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_175
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f24035,f1890]) ).

fof(f24054,plain,
    ( spl154_139
    | ~ spl154_418
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f21208,f6497,f3487,f1884]) ).

fof(f21208,plain,
    ( e0 = unit
    | ~ spl154_418
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f3489,f6498]) ).

fof(f23870,plain,
    ( spl154_133
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_393 ),
    inference(avatar_split_clause,[],[f23869,f3194,f2787,f1909,f1854]) ).

fof(f3194,plain,
    ( spl154_393
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_393])]) ).

fof(f23869,plain,
    ( e1 = e2
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_393 ),
    inference(forward_demodulation,[],[f23868,f1911]) ).

fof(f23868,plain,
    ( e2 = op(unit,e1)
    | ~ spl154_315
    | ~ spl154_393 ),
    inference(forward_demodulation,[],[f3195,f2788]) ).

fof(f3195,plain,
    ( e2 = op(e4,e1)
    | ~ spl154_393 ),
    inference(avatar_component_clause,[],[f3194]) ).

fof(f23860,plain,
    ( spl154_130
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_394 ),
    inference(avatar_split_clause,[],[f23849,f3199,f2787,f1899,f1839]) ).

fof(f3199,plain,
    ( spl154_394
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_394])]) ).

fof(f23849,plain,
    ( e0 = e2
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_394 ),
    inference(forward_demodulation,[],[f23848,f1901]) ).

fof(f23848,plain,
    ( e2 = op(unit,e0)
    | ~ spl154_315
    | ~ spl154_394 ),
    inference(forward_demodulation,[],[f3200,f2788]) ).

fof(f3200,plain,
    ( e2 = op(e4,e0)
    | ~ spl154_394 ),
    inference(avatar_component_clause,[],[f3199]) ).

fof(f23838,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_238
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f17468,f4966,f2382,f1944,f1889,f2791]) ).

fof(f17468,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_238
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17467,f4970]) ).

fof(f17467,plain,
    ( e2 = e4
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_238 ),
    inference(forward_demodulation,[],[f17466,f1946]) ).

fof(f17466,plain,
    ( e2 = op(e4,unit)
    | ~ spl154_140
    | ~ spl154_238 ),
    inference(forward_demodulation,[],[f2383,f1890]) ).

fof(f23691,plain,
    ( ~ spl154_140
    | spl154_216
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f5770,f3409,f2263,f1889]) ).

fof(f2263,plain,
    ( spl154_216
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_216])]) ).

fof(f5770,plain,
    ( e3 != unit
    | spl154_216
    | ~ spl154_411 ),
    inference(superposition,[],[f2265,f3410]) ).

fof(f3410,plain,
    ( op(e1,e2) = unit
    | ~ spl154_411 ),
    inference(avatar_component_clause,[],[f3409]) ).

fof(f2265,plain,
    ( e3 != op(e1,e2)
    | spl154_216 ),
    inference(avatar_component_clause,[],[f2263]) ).

fof(f23604,plain,
    ( spl154_139
    | ~ spl154_446
    | ~ spl154_475 ),
    inference(avatar_split_clause,[],[f23324,f20531,f8339,f1884]) ).

fof(f20531,plain,
    ( spl154_475
  <=> op(e2,e0) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_475])]) ).

fof(f23324,plain,
    ( e0 = unit
    | ~ spl154_446
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f8341,f20533]) ).

fof(f20533,plain,
    ( op(e2,e0) = unit
    | ~ spl154_475 ),
    inference(avatar_component_clause,[],[f20531]) ).

fof(f23445,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_367
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f23231,f8206,f6502,f3073,f2998,f2787,f1944,f1934,f1904,f1889,f1894]) ).

fof(f3073,plain,
    ( spl154_367
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_367])]) ).

fof(f23231,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_367
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f23230]) ).

fof(f23230,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_367
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f23229,f14795]) ).

fof(f14795,plain,
    ( e0 = unit
    | ~ spl154_143
    | ~ spl154_435 ),
    inference(superposition,[],[f6503,f1906]) ).

fof(f6503,plain,
    ( unit = op(e0,unit)
    | ~ spl154_435 ),
    inference(avatar_component_clause,[],[f6502]) ).

fof(f23229,plain,
    ( e0 = e1
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_367
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f23228,f4722]) ).

fof(f4722,plain,
    ( e0 = op(e2,unit)
    | ~ spl154_315
    | ~ spl154_367 ),
    inference(superposition,[],[f3075,f2788]) ).

fof(f3075,plain,
    ( e0 = op(e2,e4)
    | ~ spl154_367 ),
    inference(avatar_component_clause,[],[f3073]) ).

fof(f23228,plain,
    ( e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f23227]) ).

fof(f23227,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_435
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15833,f14795]) ).

fof(f15833,plain,
    ( e0 = e1
    | e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15832,f1906]) ).

fof(f15832,plain,
    ( e1 = op(e0,unit)
    | e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15831,f1890]) ).

fof(f15831,plain,
    ( e1 = unit
    | e1 = op(e2,unit)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f15830]) ).

fof(f15830,plain,
    ( e1 = unit
    | e1 = op(e2,unit)
    | e1 = unit
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15829,f1890]) ).

fof(f15829,plain,
    ( e1 = e3
    | e1 = op(e2,unit)
    | e1 = unit
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15814,f8208]) ).

fof(f15814,plain,
    ( e1 = op(e2,unit)
    | e1 = unit
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15813,f1890]) ).

fof(f15813,plain,
    ( e1 = unit
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352 ),
    inference(duplicate_literal_removal,[],[f15812]) ).

fof(f15812,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15811,f15661]) ).

fof(f15661,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f12282,f12234]) ).

fof(f12282,plain,
    ( e4 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_352 ),
    inference(superposition,[],[f3000,f1890]) ).

fof(f15811,plain,
    ( e1 = e4
    | e1 = unit
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15810,f1946]) ).

fof(f15810,plain,
    ( e1 = op(e4,unit)
    | e1 = unit
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15809,f1890]) ).

fof(f15809,plain,
    ( e1 = unit
    | e1 = op(e4,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6749,f15661]) ).

fof(f6749,plain,
    ( e1 = e4
    | e1 = op(e4,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f928,f3000]) ).

fof(f928,plain,
    ( e1 = op(e4,e3)
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f23161,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_366
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f23159,f8206,f6508,f3069,f2998,f2787,f1944,f1934,f1904,f1899,f1889,f1894]) ).

fof(f6508,plain,
    ( spl154_436
  <=> unit = op(unit,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_436])]) ).

fof(f23159,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_366
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f23158]) ).

fof(f23158,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_366
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f21595,f22887]) ).

fof(f22887,plain,
    ( unit = op(e2,unit)
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_366
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f22847,f2788]) ).

fof(f22847,plain,
    ( e4 = op(e2,unit)
    | ~ spl154_142
    | ~ spl154_366
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f3070,f14798]) ).

fof(f14798,plain,
    ( e0 = unit
    | ~ spl154_142
    | ~ spl154_436 ),
    inference(superposition,[],[f6509,f1901]) ).

fof(f6509,plain,
    ( unit = op(unit,e0)
    | ~ spl154_436 ),
    inference(avatar_component_clause,[],[f6508]) ).

fof(f21595,plain,
    ( e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f16201]) ).

fof(f16201,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15833,f14798]) ).

fof(f23126,plain,
    ( spl154_141
    | ~ spl154_142
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_366
    | ~ spl154_436 ),
    inference(avatar_split_clause,[],[f22914,f6508,f3069,f2787,f2109,f1899,f1894]) ).

fof(f22914,plain,
    ( e1 = unit
    | ~ spl154_142
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_366
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f22694,f22887]) ).

fof(f22694,plain,
    ( e1 = op(e2,unit)
    | ~ spl154_142
    | ~ spl154_187
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f2110,f14798]) ).

fof(f22955,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_359 ),
    inference(avatar_split_clause,[],[f22651,f3036,f2787,f1934,f1889,f1894]) ).

fof(f22651,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_359 ),
    inference(forward_demodulation,[],[f22650,f12234]) ).

fof(f22650,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_315
    | ~ spl154_359 ),
    inference(forward_demodulation,[],[f3038,f2788]) ).

fof(f3038,plain,
    ( e1 = op(e4,e4)
    | ~ spl154_359 ),
    inference(avatar_component_clause,[],[f3036]) ).

fof(f22873,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_347
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443
    | ~ spl154_471 ),
    inference(avatar_split_clause,[],[f22858,f16538,f8206,f6508,f2998,f2972,f1944,f1934,f1904,f1899,f1889,f1894]) ).

fof(f22858,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_347
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f22857]) ).

fof(f22857,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_347
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22856,f12234]) ).

fof(f22856,plain,
    ( e1 = op(unit,unit)
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_347
    | ~ spl154_352
    | ~ spl154_436
    | ~ spl154_443
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f21595,f22662]) ).

fof(f22662,plain,
    ( e2 = unit
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f2973,f16539]) ).

fof(f22850,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_436
    | ~ spl154_471 ),
    inference(avatar_split_clause,[],[f22778,f16538,f6508,f6497,f3392,f2972,f2787,f2050,f1934,f1924,f1899,f1889,f1894]) ).

fof(f3392,plain,
    ( spl154_408
  <=> op(e2,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_408])]) ).

fof(f22778,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_436
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f22777]) ).

fof(f22777,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_436
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22776,f12234]) ).

fof(f22776,plain,
    ( e1 = op(unit,unit)
    | e1 = unit
    | ~ spl154_142
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_436
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22775,f22662]) ).

fof(f22775,plain,
    ( e1 = op(e2,unit)
    | e1 = unit
    | ~ spl154_142
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_436
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22774,f14798]) ).

fof(f22774,plain,
    ( e1 = unit
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f22773]) ).

fof(f22773,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_408
    | ~ spl154_434
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22772,f3393]) ).

fof(f3393,plain,
    ( op(e2,e1) = unit
    | ~ spl154_408 ),
    inference(avatar_component_clause,[],[f3392]) ).

fof(f22772,plain,
    ( e1 = unit
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_434
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f22771]) ).

fof(f22771,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_434
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22770,f6498]) ).

fof(f22770,plain,
    ( e1 = unit
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(duplicate_literal_removal,[],[f22769]) ).

fof(f22769,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22768,f22662]) ).

fof(f22768,plain,
    ( e1 = e2
    | e1 = unit
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22767,f1926]) ).

fof(f22767,plain,
    ( e1 = op(e2,unit)
    | e1 = unit
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_176
    | ~ spl154_315
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f22730,f2788]) ).

fof(f22730,plain,
    ( e1 = unit
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_176
    | ~ spl154_347
    | ~ spl154_471 ),
    inference(forward_demodulation,[],[f7281,f22662]) ).

fof(f7281,plain,
    ( e1 = e2
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f917,f2052]) ).

fof(f917,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f22752,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_417
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f22544,f8206,f6508,f3461,f2998,f2787,f1944,f1934,f1904,f1899,f1889,f1894]) ).

fof(f22544,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_417
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f22543]) ).

fof(f22543,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_417
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f21595,f21525]) ).

fof(f21525,plain,
    ( unit = op(e2,unit)
    | ~ spl154_315
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f3463,f2788]) ).

fof(f22663,plain,
    ( spl154_133
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(avatar_split_clause,[],[f22511,f3082,f2787,f1914,f1854]) ).

fof(f3082,plain,
    ( spl154_369
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_369])]) ).

fof(f22511,plain,
    ( e1 = e2
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f22510,f1916]) ).

fof(f22510,plain,
    ( e2 = op(e1,unit)
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f3084,f2788]) ).

fof(f3084,plain,
    ( e2 = op(e1,e4)
    | ~ spl154_369 ),
    inference(avatar_component_clause,[],[f3082]) ).

fof(f22519,plain,
    ( spl154_141
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_374
    | ~ spl154_436 ),
    inference(avatar_split_clause,[],[f22468,f6508,f3105,f2787,f1904,f1899,f1894]) ).

fof(f22468,plain,
    ( e1 = unit
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_374
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f22467,f14798]) ).

fof(f22467,plain,
    ( e0 = e1
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_374 ),
    inference(forward_demodulation,[],[f22466,f1906]) ).

fof(f22466,plain,
    ( e1 = op(e0,unit)
    | ~ spl154_315
    | ~ spl154_374 ),
    inference(forward_demodulation,[],[f3107,f2788]) ).

fof(f22126,plain,
    ( spl154_450
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f21580,f8339,f3487,f1949,f1889,f8814]) ).

fof(f21580,plain,
    ( unit = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f8341,f20458]) ).

fof(f20458,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f16378,f1890]) ).

fof(f16378,plain,
    ( e0 = e3
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(superposition,[],[f3489,f1951]) ).

fof(f22082,plain,
    ( spl154_432
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_187
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f21528,f3487,f2109,f1949,f1889,f5836]) ).

fof(f5836,plain,
    ( spl154_432
  <=> e1 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_432])]) ).

fof(f21528,plain,
    ( e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_187
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f2110,f20458]) ).

fof(f22080,plain,
    ( ~ spl154_450
    | ~ spl154_152
    | spl154_407
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f11593,f6497,f3387,f1949,f8814]) ).

fof(f3387,plain,
    ( spl154_407
  <=> op(e2,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_407])]) ).

fof(f11593,plain,
    ( unit != op(e2,unit)
    | ~ spl154_152
    | spl154_407
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f3389,f8199]) ).

fof(f3389,plain,
    ( op(e2,e3) != unit
    | spl154_407 ),
    inference(avatar_component_clause,[],[f3387]) ).

fof(f22037,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_443
    | ~ spl154_475 ),
    inference(avatar_split_clause,[],[f22033,f20531,f8206,f3487,f2998,f1949,f1944,f1934,f1904,f1889,f1894]) ).

fof(f22033,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_443
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f22032]) ).

fof(f22032,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_443
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21062,f21644]) ).

fof(f21644,plain,
    ( unit = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f20533,f20458]) ).

fof(f21062,plain,
    ( e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f16407]) ).

fof(f16407,plain,
    ( e1 = unit
    | e1 = unit
    | e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15833,f16381]) ).

fof(f16381,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f16378,f1890]) ).

fof(f22030,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_182
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f22029,f3487,f2083,f1949,f1934,f1889,f1894]) ).

fof(f22029,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_182
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f22028,f12234]) ).

fof(f22028,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_182
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f2084,f20458]) ).

fof(f21587,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417
    | ~ spl154_418
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f21556,f8206,f3487,f3461,f3409,f3078,f2998,f1949,f1944,f1934,f1904,f1889,f1894]) ).

fof(f21556,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417
    | ~ spl154_418
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f21555]) ).

fof(f21555,plain,
    ( e1 = unit
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417
    | ~ spl154_418
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f21062,f6530]) ).

fof(f6530,plain,
    ( unit = op(e2,unit)
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f3463,f5777]) ).

fof(f5777,plain,
    ( e4 = unit
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(superposition,[],[f3079,f3410]) ).

fof(f21552,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_187
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f21527,f3487,f3461,f3409,f3078,f2109,f1949,f1889,f1894]) ).

fof(f21527,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_187
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_417
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f17841,f6530]) ).

fof(f17841,plain,
    ( e1 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_187
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f2110,f16381]) ).

fof(f21548,plain,
    ( ~ spl154_163
    | ~ spl154_140
    | ~ spl154_146
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f21545,f3487,f1949,f1924,f1919,f1889,f1996]) ).

fof(f1996,plain,
    ( spl154_163
  <=> sP140 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_163])]) ).

fof(f21545,plain,
    ( ~ sP140
    | ~ spl154_140
    | ~ spl154_146
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(trivial_inequality_removal,[],[f21544]) ).

fof(f21544,plain,
    ( e2 != e2
    | ~ sP140
    | ~ spl154_140
    | ~ spl154_146
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21543,f1921]) ).

fof(f21543,plain,
    ( e2 != op(unit,e2)
    | ~ sP140
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21542,f1926]) ).

fof(f21542,plain,
    ( op(unit,e2) != op(e2,unit)
    | ~ sP140
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f358,f20458]) ).

fof(f358,plain,
    ( op(e0,e2) != op(e2,e0)
    | ~ sP140 ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( ( e0 != op(op(e2,e0),e2)
      & e2 = op(op(e2,e0),e0)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP140 ),
    inference(nnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e0 != op(op(e2,e0),e2)
      & e2 = op(op(e2,e0),e0)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP140 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).

fof(f21539,plain,
    ( ~ spl154_157
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f21534,f3487,f1949,f1934,f1929,f1889,f1972]) ).

fof(f1972,plain,
    ( spl154_157
  <=> sP133 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_157])]) ).

fof(f21534,plain,
    ( ~ sP133
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(trivial_inequality_removal,[],[f21533]) ).

fof(f21533,plain,
    ( e3 != e3
    | ~ sP133
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21532,f1936]) ).

fof(f21532,plain,
    ( e3 != op(e3,unit)
    | ~ sP133
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21531,f1931]) ).

fof(f21531,plain,
    ( e3 != op(op(unit,e3),unit)
    | ~ sP133
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f381,f20458]) ).

fof(f381,plain,
    ( e3 != op(op(e0,e3),e0)
    | ~ sP133 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( ( e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP133 ),
    inference(nnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP133 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).

fof(f21530,plain,
    ( ~ spl154_158
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_427 ),
    inference(avatar_split_clause,[],[f21416,f4953,f2787,f1904,f1976]) ).

fof(f1976,plain,
    ( spl154_158
  <=> sP134 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_158])]) ).

fof(f21416,plain,
    ( ~ sP134
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_427 ),
    inference(trivial_inequality_removal,[],[f21415]) ).

fof(f21415,plain,
    ( unit != unit
    | ~ sP134
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_427 ),
    inference(forward_demodulation,[],[f21051,f4954]) ).

fof(f21051,plain,
    ( op(e0,e0) != unit
    | ~ sP134
    | ~ spl154_143
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f21050,f1906]) ).

fof(f21050,plain,
    ( unit != op(op(e0,unit),e0)
    | ~ sP134
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f378,f2788]) ).

fof(f378,plain,
    ( e4 != op(op(e0,e4),e0)
    | ~ sP134 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & e0 = op(op(e0,e4),e4)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP134 ),
    inference(nnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & e0 = op(op(e0,e4),e4)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP134 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).

fof(f21410,plain,
    ( spl154_133
    | spl154_316
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_475 ),
    inference(avatar_split_clause,[],[f21223,f20531,f4953,f3487,f2787,f1949,f1944,f1934,f1914,f1889,f2791,f1854]) ).

fof(f21223,plain,
    ( e2 = unit
    | e1 = e2
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f21222]) ).

fof(f21222,plain,
    ( e2 = unit
    | e1 = e2
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21221,f4954]) ).

fof(f21221,plain,
    ( e1 = e2
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21220,f1916]) ).

fof(f21220,plain,
    ( e2 = op(e1,unit)
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21219,f20458]) ).

fof(f21219,plain,
    ( e2 = unit
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f21218]) ).

fof(f21218,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21217,f20533]) ).

fof(f21217,plain,
    ( e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(duplicate_literal_removal,[],[f21216]) ).

fof(f21216,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21215,f1890]) ).

fof(f21215,plain,
    ( e2 = e3
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21214,f1936]) ).

fof(f21214,plain,
    ( e2 = op(e3,unit)
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21200,f20458]) ).

fof(f21200,plain,
    ( e2 = unit
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21199,f2788]) ).

fof(f21199,plain,
    ( e2 = e4
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f16557,f1946]) ).

fof(f16557,plain,
    ( e2 = op(e4,unit)
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f900,f16381]) ).

fof(f900,plain,
    ( e2 = op(e4,e0)
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f21400,plain,
    ( spl154_411
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f21076,f3078,f2787,f3409]) ).

fof(f21076,plain,
    ( op(e1,e2) = unit
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f3079,f2788]) ).

fof(f21393,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_370
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f21391,f3487,f3087,f2787,f1949,f1914,f1889,f1894]) ).

fof(f3087,plain,
    ( spl154_370
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_370])]) ).

fof(f21391,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_370
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21390,f2788]) ).

fof(f21390,plain,
    ( e1 = e4
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_370
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21389,f1916]) ).

fof(f21389,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_152
    | ~ spl154_370
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f3088,f20458]) ).

fof(f3088,plain,
    ( e4 = op(e1,e0)
    | ~ spl154_370 ),
    inference(avatar_component_clause,[],[f3087]) ).

fof(f21212,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_473
    | ~ spl154_475 ),
    inference(avatar_split_clause,[],[f21162,f20531,f16629,f4953,f3487,f2787,f1949,f1944,f1934,f1889,f2791]) ).

fof(f16629,plain,
    ( spl154_473
  <=> op(e1,e0) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_473])]) ).

fof(f21162,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_473
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f21161]) ).

fof(f21161,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_427
    | ~ spl154_473
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21160,f4954]) ).

fof(f21160,plain,
    ( e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_473
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f21159]) ).

fof(f21159,plain,
    ( e2 = unit
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_473
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21158,f16630]) ).

fof(f16630,plain,
    ( op(e1,e0) = unit
    | ~ spl154_473 ),
    inference(avatar_component_clause,[],[f16629]) ).

fof(f21158,plain,
    ( e2 = unit
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(duplicate_literal_removal,[],[f21157]) ).

fof(f21157,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418
    | ~ spl154_475 ),
    inference(forward_demodulation,[],[f21156,f20533]) ).

fof(f21156,plain,
    ( e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(duplicate_literal_removal,[],[f21155]) ).

fof(f21155,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21154,f1890]) ).

fof(f21154,plain,
    ( e2 = e3
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f21153,f1936]) ).

fof(f21153,plain,
    ( e2 = op(e3,unit)
    | e2 = unit
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f20448,f20458]) ).

fof(f20448,plain,
    ( e2 = unit
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f20447,f2788]) ).

fof(f20447,plain,
    ( e2 = e4
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f16557,f1946]) ).

fof(f21061,plain,
    ( spl154_141
    | spl154_129
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f20797,f16623,f8206,f2998,f1944,f1934,f1919,f1904,f1889,f1834,f1894]) ).

fof(f20797,plain,
    ( e0 = e1
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443
    | ~ spl154_472 ),
    inference(duplicate_literal_removal,[],[f20796]) ).

fof(f20796,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f20795,f1906]) ).

fof(f20795,plain,
    ( e1 = op(e0,unit)
    | e0 = e1
    | e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_443
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f15833,f20737]) ).

fof(f21049,plain,
    ( ~ spl154_172
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_315 ),
    inference(avatar_split_clause,[],[f21046,f2787,f1914,f1909,f2032]) ).

fof(f2032,plain,
    ( spl154_172
  <=> sP151 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_172])]) ).

fof(f21046,plain,
    ( ~ sP151
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_315 ),
    inference(trivial_inequality_removal,[],[f21045]) ).

fof(f21045,plain,
    ( e1 != e1
    | ~ sP151
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f21044,f1916]) ).

fof(f21044,plain,
    ( e1 != op(e1,unit)
    | ~ sP151
    | ~ spl154_144
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f21043,f1911]) ).

fof(f21043,plain,
    ( e1 != op(op(unit,e1),unit)
    | ~ sP151
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f327,f2788]) ).

fof(f327,plain,
    ( e1 != op(op(e4,e1),e4)
    | ~ sP151 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ( e1 != op(op(e4,e1),e4)
      & e4 = op(op(e4,e1),e1)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP151 ),
    inference(nnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( ( e1 != op(op(e4,e1),e4)
      & e4 = op(op(e4,e1),e1)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP151 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).

fof(f21040,plain,
    ( ~ spl154_170
    | ~ spl154_140
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(avatar_split_clause,[],[f21031,f1944,f1939,f1889,f2024]) ).

fof(f2024,plain,
    ( spl154_170
  <=> sP149 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_170])]) ).

fof(f1939,plain,
    ( spl154_150
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_150])]) ).

fof(f21031,plain,
    ( ~ sP149
    | ~ spl154_140
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(trivial_inequality_removal,[],[f21030]) ).

fof(f21030,plain,
    ( e4 != e4
    | ~ sP149
    | ~ spl154_140
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(forward_demodulation,[],[f21029,f1946]) ).

fof(f21029,plain,
    ( e4 != op(e4,unit)
    | ~ sP149
    | ~ spl154_140
    | ~ spl154_150 ),
    inference(forward_demodulation,[],[f21028,f1941]) ).

fof(f1941,plain,
    ( e4 = op(unit,e4)
    | ~ spl154_150 ),
    inference(avatar_component_clause,[],[f1939]) ).

fof(f21028,plain,
    ( e4 != op(op(unit,e4),unit)
    | ~ sP149
    | ~ spl154_140 ),
    inference(forward_demodulation,[],[f333,f1890]) ).

fof(f333,plain,
    ( e4 != op(op(e3,e4),e3)
    | ~ sP149 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ( e4 != op(op(e3,e4),e3)
      & e3 = op(op(e3,e4),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP149 ),
    inference(nnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( e4 != op(op(e3,e4),e3)
      & e3 = op(op(e3,e4),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP149 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])]) ).

fof(f21026,plain,
    ( ~ spl154_471
    | ~ spl154_140
    | ~ spl154_149
    | spl154_317
    | ~ spl154_352
    | ~ spl154_370 ),
    inference(avatar_split_clause,[],[f16019,f3087,f2998,f2796,f1934,f1889,f16538]) ).

fof(f2796,plain,
    ( spl154_317
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_317])]) ).

fof(f16019,plain,
    ( op(e0,e1) != unit
    | ~ spl154_140
    | ~ spl154_149
    | spl154_317
    | ~ spl154_352
    | ~ spl154_370 ),
    inference(forward_demodulation,[],[f2798,f15828]) ).

fof(f15828,plain,
    ( op(e1,e0) = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_370 ),
    inference(forward_demodulation,[],[f3088,f15661]) ).

fof(f2798,plain,
    ( op(e0,e1) != op(e1,e0)
    | spl154_317 ),
    inference(avatar_component_clause,[],[f2796]) ).

fof(f21024,plain,
    ( spl154_473
    | ~ spl154_146
    | ~ spl154_411
    | ~ spl154_472 ),
    inference(avatar_split_clause,[],[f20925,f16623,f3409,f1919,f16629]) ).

fof(f20925,plain,
    ( op(e1,e0) = unit
    | ~ spl154_146
    | ~ spl154_411
    | ~ spl154_472 ),
    inference(forward_demodulation,[],[f3410,f20737]) ).

fof(f20986,plain,
    ( ~ spl154_140
    | ~ spl154_152
    | spl154_434 ),
    inference(avatar_split_clause,[],[f16385,f6497,f1949,f1889]) ).

fof(f16385,plain,
    ( e3 != unit
    | ~ spl154_152
    | spl154_434 ),
    inference(superposition,[],[f6499,f1951]) ).

fof(f6499,plain,
    ( op(e2,e2) != unit
    | spl154_434 ),
    inference(avatar_component_clause,[],[f6497]) ).

fof(f20889,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_153
    | ~ spl154_315
    | ~ spl154_371
    | ~ spl154_436 ),
    inference(avatar_split_clause,[],[f18599,f6508,f3092,f2787,f1954,f1899,f1889,f1894]) ).

fof(f1954,plain,
    ( spl154_153
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_153])]) ).

fof(f3092,plain,
    ( spl154_371
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_371])]) ).

fof(f18599,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_153
    | ~ spl154_315
    | ~ spl154_371
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f18598,f2788]) ).

fof(f18598,plain,
    ( e1 = e4
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_153
    | ~ spl154_371
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f18597,f3504]) ).

fof(f3504,plain,
    ( e1 = op(unit,e2)
    | ~ spl154_140
    | ~ spl154_153 ),
    inference(superposition,[],[f1956,f1890]) ).

fof(f1956,plain,
    ( e1 = op(e3,e2)
    | ~ spl154_153 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f18597,plain,
    ( e4 = op(unit,e2)
    | ~ spl154_142
    | ~ spl154_371
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f3093,f14798]) ).

fof(f3093,plain,
    ( e4 = op(e0,e2)
    | ~ spl154_371 ),
    inference(avatar_component_clause,[],[f3092]) ).

fof(f20782,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_379 ),
    inference(avatar_split_clause,[],[f20762,f3128,f2787,f1899,f1889,f1884]) ).

fof(f20762,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_379 ),
    inference(forward_demodulation,[],[f20761,f1890]) ).

fof(f20759,plain,
    ( spl154_139
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_340
    | ~ spl154_444 ),
    inference(avatar_split_clause,[],[f20753,f8232,f2930,f2787,f1899,f1884]) ).

fof(f2930,plain,
    ( spl154_340
  <=> e4 = op(op(e4,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_340])]) ).

fof(f20753,plain,
    ( e0 = unit
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_340
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f8234,f19182]) ).

fof(f19182,plain,
    ( op(e0,e0) = unit
    | ~ spl154_142
    | ~ spl154_315
    | ~ spl154_340 ),
    inference(forward_demodulation,[],[f19181,f1901]) ).

fof(f19181,plain,
    ( unit = op(op(unit,e0),e0)
    | ~ spl154_315
    | ~ spl154_340 ),
    inference(forward_demodulation,[],[f2932,f2788]) ).

fof(f2932,plain,
    ( e4 = op(op(e4,e0),e0)
    | ~ spl154_340 ),
    inference(avatar_component_clause,[],[f2930]) ).

fof(f20743,plain,
    ( spl154_129
    | spl154_141
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371
    | ~ spl154_389
    | ~ spl154_427 ),
    inference(avatar_split_clause,[],[f20622,f4953,f3176,f3092,f2998,f2787,f1934,f1904,f1889,f1894,f1834]) ).

fof(f3176,plain,
    ( spl154_389
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_389])]) ).

fof(f20622,plain,
    ( e1 = unit
    | e0 = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371
    | ~ spl154_389
    | ~ spl154_427 ),
    inference(duplicate_literal_removal,[],[f20621]) ).

fof(f20621,plain,
    ( e1 = unit
    | e1 = unit
    | e0 = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371
    | ~ spl154_389
    | ~ spl154_427 ),
    inference(forward_demodulation,[],[f20479,f4954]) ).

fof(f20479,plain,
    ( e1 = unit
    | e0 = e1
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371
    | ~ spl154_389 ),
    inference(duplicate_literal_removal,[],[f20060]) ).

fof(f20060,plain,
    ( e1 = unit
    | e1 = unit
    | e0 = e1
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f20059,f19477]) ).

fof(f19477,plain,
    ( op(e0,e1) = unit
    | ~ spl154_140
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f3177,f1890]) ).

fof(f3177,plain,
    ( e3 = op(e0,e1)
    | ~ spl154_389 ),
    inference(avatar_component_clause,[],[f3176]) ).

fof(f20059,plain,
    ( e1 = unit
    | e0 = e1
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_371 ),
    inference(forward_demodulation,[],[f20058,f19980]) ).

fof(f19980,plain,
    ( op(e0,e2) = unit
    | ~ spl154_315
    | ~ spl154_371 ),
    inference(forward_demodulation,[],[f3093,f2788]) ).

fof(f20058,plain,
    ( e0 = e1
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(duplicate_literal_removal,[],[f20057]) ).

fof(f20057,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f20056,f1906]) ).

fof(f20056,plain,
    ( e1 = op(e0,unit)
    | e0 = e1
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f16575,f1890]) ).

fof(f16575,plain,
    ( e0 = e1
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f16574,f1906]) ).

fof(f16574,plain,
    ( e1 = op(e0,unit)
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f897,f15661]) ).

fof(f897,plain,
    ( e1 = op(e0,e4)
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f20721,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_413
    | ~ spl154_472
    | ~ spl154_474 ),
    inference(avatar_split_clause,[],[f20720,f16635,f16623,f3430,f1934,f1889,f1884]) ).

fof(f20720,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_413
    | ~ spl154_472
    | ~ spl154_474 ),
    inference(forward_demodulation,[],[f20719,f12234]) ).

fof(f20719,plain,
    ( e0 = op(unit,unit)
    | ~ spl154_413
    | ~ spl154_472
    | ~ spl154_474 ),
    inference(forward_demodulation,[],[f16624,f20705]) ).

fof(f20705,plain,
    ( e2 = unit
    | ~ spl154_413
    | ~ spl154_474 ),
    inference(superposition,[],[f16636,f3432]) ).

fof(f20716,plain,
    ( spl154_472
    | ~ spl154_315
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f20623,f3203,f2787,f16623]) ).

fof(f3203,plain,
    ( spl154_395
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_395])]) ).

fof(f20623,plain,
    ( e0 = op(unit,e2)
    | ~ spl154_315
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3205,f2788]) ).

fof(f3205,plain,
    ( e0 = op(e4,e2)
    | ~ spl154_395 ),
    inference(avatar_component_clause,[],[f3203]) ).

fof(f20696,plain,
    ( ~ spl154_315
    | ~ spl154_405
    | spl154_455 ),
    inference(avatar_split_clause,[],[f9970,f9406,f3377,f2787]) ).

fof(f3377,plain,
    ( spl154_405
  <=> op(e3,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_405])]) ).

fof(f9970,plain,
    ( e4 != unit
    | ~ spl154_405
    | spl154_455 ),
    inference(superposition,[],[f9407,f3378]) ).

fof(f3378,plain,
    ( op(e3,e4) = unit
    | ~ spl154_405 ),
    inference(avatar_component_clause,[],[f3377]) ).

fof(f9407,plain,
    ( e4 != op(e3,e4)
    | spl154_455 ),
    inference(avatar_component_clause,[],[f9406]) ).

fof(f20695,plain,
    ( spl154_474
    | ~ spl154_315
    | ~ spl154_371 ),
    inference(avatar_split_clause,[],[f20620,f3092,f2787,f16635]) ).

fof(f20620,plain,
    ( op(e0,e2) = unit
    | ~ spl154_315
    | ~ spl154_371 ),
    inference(forward_demodulation,[],[f3093,f2788]) ).

fof(f20654,plain,
    ( ~ spl154_411
    | ~ spl154_315
    | spl154_368 ),
    inference(avatar_split_clause,[],[f20064,f3078,f2787,f3409]) ).

fof(f20064,plain,
    ( op(e1,e2) != unit
    | ~ spl154_315
    | spl154_368 ),
    inference(forward_demodulation,[],[f3080,f2788]) ).

fof(f20647,plain,
    ( spl154_471
    | ~ spl154_140
    | ~ spl154_389 ),
    inference(avatar_split_clause,[],[f19477,f3176,f1889,f16538]) ).

fof(f20645,plain,
    ( spl154_436
    | ~ spl154_315
    | ~ spl154_423 ),
    inference(avatar_split_clause,[],[f19226,f4928,f2787,f6508]) ).

fof(f4928,plain,
    ( spl154_423
  <=> op(e4,e0) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_423])]) ).

fof(f19226,plain,
    ( unit = op(unit,e0)
    | ~ spl154_315
    | ~ spl154_423 ),
    inference(forward_demodulation,[],[f4929,f2788]) ).

fof(f4929,plain,
    ( op(e4,e0) = unit
    | ~ spl154_423 ),
    inference(avatar_component_clause,[],[f4928]) ).

fof(f20537,plain,
    ( spl154_133
    | ~ spl154_147
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f8203,f5836,f1924,f1854]) ).

fof(f8203,plain,
    ( e1 = e2
    | ~ spl154_147
    | ~ spl154_432 ),
    inference(superposition,[],[f5837,f1926]) ).

fof(f5837,plain,
    ( e1 = op(e2,unit)
    | ~ spl154_432 ),
    inference(avatar_component_clause,[],[f5836]) ).

fof(f20536,plain,
    ( spl154_427
    | ~ spl154_140
    | ~ spl154_391 ),
    inference(avatar_split_clause,[],[f19045,f3185,f1889,f4953]) ).

fof(f3185,plain,
    ( spl154_391
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_391])]) ).

fof(f19045,plain,
    ( op(e0,e0) = unit
    | ~ spl154_140
    | ~ spl154_391 ),
    inference(forward_demodulation,[],[f3186,f1890]) ).

fof(f3186,plain,
    ( op(e0,e0) = e3
    | ~ spl154_391 ),
    inference(avatar_component_clause,[],[f3185]) ).

fof(f20534,plain,
    ( spl154_475
    | ~ spl154_315
    | ~ spl154_366 ),
    inference(avatar_split_clause,[],[f18842,f3069,f2787,f20531]) ).

fof(f18842,plain,
    ( op(e2,e0) = unit
    | ~ spl154_315
    | ~ spl154_366 ),
    inference(forward_demodulation,[],[f3070,f2788]) ).

fof(f20528,plain,
    ( ~ spl154_49
    | spl154_139
    | ~ spl154_145
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f19977,f4966,f2787,f1944,f1914,f1884,f1375]) ).

fof(f1375,plain,
    ( spl154_49
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_49])]) ).

fof(f19977,plain,
    ( e0 = unit
    | ~ sP34
    | ~ spl154_145
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f19976]) ).

fof(f19976,plain,
    ( e1 != e1
    | e0 = unit
    | ~ sP34
    | ~ spl154_145
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f19975,f1916]) ).

fof(f19975,plain,
    ( e1 != op(e1,unit)
    | e0 = unit
    | ~ sP34
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f18336,f2788]) ).

fof(f18336,plain,
    ( e0 = unit
    | e1 != op(e1,e4)
    | ~ sP34
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f1403,f4970]) ).

fof(f1403,plain,
    ( e0 = e4
    | e1 != op(e1,e4)
    | ~ sP34 ),
    inference(forward_demodulation,[],[f696,f1102]) ).

fof(f1102,plain,
    e0 = op(e1,e1),
    inference(forward_demodulation,[],[f1101,f1100]) ).

fof(f1100,plain,
    e1 = op(e3,e2),
    inference(forward_demodulation,[],[f892,f893]) ).

fof(f893,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e4 = op(op(e2,e2),op(e2,e2))
    & e3 = op(e2,e2)
    & e1 = op(op(e2,e2),e2)
    & e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f892,plain,
    e1 = op(op(e2,e2),e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f1101,plain,
    e0 = op(op(e3,e2),op(e3,e2)),
    inference(forward_demodulation,[],[f891,f893]) ).

fof(f891,plain,
    e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( e4 = op(e1,e1)
    | e1 != op(e1,e4)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ( ( e1 != unit
      & e4 = op(e1,e1) )
    | e1 != op(e1,e4)
    | ~ sP34 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e1 != unit
      & e4 = op(e1,e1) )
    | e1 != op(e1,e4)
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f20478,plain,
    ( spl154_139
    | ~ spl154_147
    | ~ spl154_154
    | ~ spl154_315
    | ~ spl154_368
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f20372,f5836,f3078,f2787,f1959,f1924,f1884]) ).

fof(f20372,plain,
    ( e0 = unit
    | ~ spl154_147
    | ~ spl154_154
    | ~ spl154_315
    | ~ spl154_368
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f20371,f2788]) ).

fof(f20371,plain,
    ( e0 = e4
    | ~ spl154_147
    | ~ spl154_154
    | ~ spl154_368
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f20370,f1961]) ).

fof(f20370,plain,
    ( e4 = op(e1,e1)
    | ~ spl154_147
    | ~ spl154_368
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f3079,f8203]) ).

fof(f20461,plain,
    ( spl154_316
    | ~ spl154_315
    | ~ spl154_368
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f20341,f3434,f3078,f2787,f2791]) ).

fof(f20341,plain,
    ( e2 = unit
    | ~ spl154_315
    | ~ spl154_368
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f12111,f2788]) ).

fof(f20373,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_389
    | ~ spl154_398
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f20315,f5836,f3217,f3176,f1924,f1889,f1884]) ).

fof(f20315,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_389
    | ~ spl154_398
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f20314,f19477]) ).

fof(f20314,plain,
    ( e0 = op(e0,e1)
    | ~ spl154_147
    | ~ spl154_398
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f3219,f8203]) ).

fof(f20239,plain,
    ( spl154_139
    | ~ spl154_315
    | ~ spl154_371
    | ~ spl154_398 ),
    inference(avatar_split_clause,[],[f20110,f3217,f3092,f2787,f1884]) ).

fof(f20110,plain,
    ( e0 = unit
    | ~ spl154_315
    | ~ spl154_371
    | ~ spl154_398 ),
    inference(forward_demodulation,[],[f3219,f19980]) ).

fof(f20142,plain,
    ( spl154_316
    | ~ spl154_326
    | ~ spl154_408
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f20092,f3434,f3392,f2848,f2791]) ).

fof(f2848,plain,
    ( spl154_326
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_326])]) ).

fof(f20092,plain,
    ( e2 = unit
    | ~ spl154_326
    | ~ spl154_408
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f3436,f20067]) ).

fof(f20067,plain,
    ( op(e1,e2) = unit
    | ~ spl154_326
    | ~ spl154_408 ),
    inference(forward_demodulation,[],[f2849,f3393]) ).

fof(f2849,plain,
    ( op(e1,e2) = op(e2,e1)
    | ~ spl154_326 ),
    inference(avatar_component_clause,[],[f2848]) ).

fof(f19974,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_318
    | ~ spl154_389 ),
    inference(avatar_split_clause,[],[f19541,f3176,f2802,f1889,f1894]) ).

fof(f19541,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_318
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f2803,f19477]) ).

fof(f19942,plain,
    ( spl154_139
    | ~ spl154_315
    | ~ spl154_366
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f18907,f8339,f3069,f2787,f1884]) ).

fof(f18907,plain,
    ( e0 = unit
    | ~ spl154_315
    | ~ spl154_366
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f8341,f18842]) ).

fof(f19725,plain,
    ( spl154_129
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_390 ),
    inference(avatar_split_clause,[],[f19461,f3180,f1904,f1889,f1834]) ).

fof(f3180,plain,
    ( spl154_390
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_390])]) ).

fof(f19461,plain,
    ( e0 = e1
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_390 ),
    inference(forward_demodulation,[],[f19460,f1906]) ).

fof(f19460,plain,
    ( e1 = op(e0,unit)
    | ~ spl154_140
    | ~ spl154_390 ),
    inference(forward_demodulation,[],[f3182,f1890]) ).

fof(f3182,plain,
    ( e1 = op(e0,e3)
    | ~ spl154_390 ),
    inference(avatar_component_clause,[],[f3180]) ).

fof(f19474,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_361
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f17447,f4966,f3045,f1944,f1934,f1889,f1884]) ).

fof(f17447,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_361
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17446,f12234]) ).

fof(f19076,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_373
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f18826,f3119,f3101,f2787,f1909,f1904,f1889,f1884]) ).

fof(f3119,plain,
    ( spl154_377
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_377])]) ).

fof(f18826,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_373
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f18825,f2788]) ).

fof(f18825,plain,
    ( e0 = e4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_373
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f18824,f1906]) ).

fof(f18824,plain,
    ( e4 = op(e0,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_373
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f3102,f16762]) ).

fof(f16762,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f16761,f1890]) ).

fof(f16761,plain,
    ( e1 = e3
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f8009,f1911]) ).

fof(f8009,plain,
    ( e3 = op(unit,e1)
    | ~ spl154_315
    | ~ spl154_377 ),
    inference(superposition,[],[f3120,f2788]) ).

fof(f3120,plain,
    ( e3 = op(e4,e1)
    | ~ spl154_377 ),
    inference(avatar_component_clause,[],[f3119]) ).

fof(f18841,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432
    | ~ spl154_436 ),
    inference(avatar_split_clause,[],[f18792,f6508,f5836,f4966,f3377,f3119,f3064,f2787,f1944,f1934,f1924,f1909,f1904,f1899,f1889,f2791]) ).

fof(f3064,plain,
    ( spl154_365
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_365])]) ).

fof(f18792,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432
    | ~ spl154_436 ),
    inference(duplicate_literal_removal,[],[f18791]) ).

fof(f18791,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432
    | ~ spl154_436 ),
    inference(forward_demodulation,[],[f17897,f14798]) ).

fof(f17897,plain,
    ( e0 = e2
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17896,f1906]) ).

fof(f17896,plain,
    ( e2 = op(e0,unit)
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17895,f4970]) ).

fof(f17895,plain,
    ( e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(duplicate_literal_removal,[],[f17894]) ).

fof(f17894,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17893,f16762]) ).

fof(f17893,plain,
    ( e1 = e2
    | e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17892,f8552]) ).

fof(f8552,plain,
    ( e1 = op(e1,e4)
    | ~ spl154_147
    | ~ spl154_365
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f3066,f8203]) ).

fof(f3066,plain,
    ( e1 = op(e2,e4)
    | ~ spl154_365 ),
    inference(avatar_component_clause,[],[f3064]) ).

fof(f17892,plain,
    ( e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(duplicate_literal_removal,[],[f17891]) ).

fof(f17891,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17890,f16762]) ).

fof(f17890,plain,
    ( e1 = e2
    | e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17889,f3066]) ).

fof(f17889,plain,
    ( e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(duplicate_literal_removal,[],[f17888]) ).

fof(f17888,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17887,f12234]) ).

fof(f17887,plain,
    ( e2 = op(unit,unit)
    | e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_151
    | ~ spl154_405
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f9988,f4970]) ).

fof(f9988,plain,
    ( e2 = unit
    | e2 = op(e4,e4)
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f940,f3378]) ).

fof(f940,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e3,e4)
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f18696,plain,
    ( spl154_316
    | ~ spl154_147
    | ~ spl154_450 ),
    inference(avatar_split_clause,[],[f9134,f8814,f1924,f2791]) ).

fof(f9134,plain,
    ( e2 = unit
    | ~ spl154_147
    | ~ spl154_450 ),
    inference(superposition,[],[f1926,f8816]) ).

fof(f8816,plain,
    ( unit = op(e2,unit)
    | ~ spl154_450 ),
    inference(avatar_component_clause,[],[f8814]) ).

fof(f18675,plain,
    ( spl154_268
    | spl154_218
    | spl154_414
    | spl154_411
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f15977,f2998,f1934,f1889,f3409,f3434,f2274,f2538]) ).

fof(f2538,plain,
    ( spl154_268
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_268])]) ).

fof(f2274,plain,
    ( spl154_218
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_218])]) ).

fof(f15977,plain,
    ( op(e1,e2) = unit
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(duplicate_literal_removal,[],[f15976]) ).

fof(f15976,plain,
    ( op(e1,e2) = unit
    | op(e1,e2) = unit
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15062,f15661]) ).

fof(f15062,plain,
    ( op(e1,e2) = unit
    | e4 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | ~ spl154_140 ),
    inference(forward_demodulation,[],[f952,f1890]) ).

fof(f952,plain,
    ( e4 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3) )
    & ( e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e1 = op(e4,e2)
      | e0 = op(e4,e2) )
    & ( e4 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1) )
    & ( e4 = op(e4,e0)
      | e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4) )
    & ( e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e1)
      | e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e0)
      | e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e4 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e4 = op(e1,e4)
      | e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4) )
    & ( e4 = op(e1,e3)
      | e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e2)
      | e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e0 = op(e0,e4) )
    & ( e4 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( op(e0,e0) = e4
      | op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f18672,plain,
    ( spl154_196
    | spl154_318
    | spl154_347
    | spl154_471
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f15917,f2998,f1934,f1889,f16538,f2972,f2802,f2157]) ).

fof(f2157,plain,
    ( spl154_196
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_196])]) ).

fof(f15917,plain,
    ( op(e0,e1) = unit
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(duplicate_literal_removal,[],[f15916]) ).

fof(f15916,plain,
    ( op(e0,e1) = unit
    | op(e0,e1) = unit
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15915,f1890]) ).

fof(f15915,plain,
    ( op(e0,e1) = unit
    | e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f946,f15661]) ).

fof(f946,plain,
    ( e4 = op(e0,e1)
    | e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f18670,plain,
    ( spl154_450
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_364
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f17552,f3119,f3060,f2787,f1909,f1889,f8814]) ).

fof(f3060,plain,
    ( spl154_364
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_364])]) ).

fof(f17552,plain,
    ( unit = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_364
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f5565,f16762]) ).

fof(f5565,plain,
    ( op(e2,e1) = unit
    | ~ spl154_315
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f3061,f2788]) ).

fof(f3061,plain,
    ( e4 = op(e2,e1)
    | ~ spl154_364 ),
    inference(avatar_component_clause,[],[f3060]) ).

fof(f18594,plain,
    ( ~ spl154_61
    | ~ spl154_369
    | spl154_368 ),
    inference(avatar_split_clause,[],[f646,f3078,f3082,f1446]) ).

fof(f1446,plain,
    ( spl154_61
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_61])]) ).

fof(f646,plain,
    ( e4 = op(e1,e2)
    | e2 != op(e1,e4)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ( ( e2 != unit
      & e4 = op(e1,e2) )
    | e2 != op(e1,e4)
    | ~ sP59 ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( e2 != unit
      & e4 = op(e1,e2) )
    | e2 != op(e1,e4)
    | ~ sP59 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f18538,plain,
    ( spl154_438
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f17946,f3409,f3119,f2787,f1909,f1889,f6533]) ).

fof(f6533,plain,
    ( spl154_438
  <=> unit = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_438])]) ).

fof(f17946,plain,
    ( unit = op(unit,e2)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f3410,f16762]) ).

fof(f18374,plain,
    ( spl154_315
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f4970,f4966,f1944,f2787]) ).

fof(f18338,plain,
    ( spl154_450
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_364
    | ~ spl154_368
    | ~ spl154_377
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f17407,f3409,f3119,f3078,f3060,f2787,f1909,f1889,f8814]) ).

fof(f17407,plain,
    ( unit = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_364
    | ~ spl154_368
    | ~ spl154_377
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f6260,f16762]) ).

fof(f6260,plain,
    ( op(e2,e1) = unit
    | ~ spl154_364
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f3061,f5777]) ).

fof(f18329,plain,
    ( spl154_266
    | ~ spl154_147
    | ~ spl154_365
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f8552,f5836,f3064,f1924,f2527]) ).

fof(f2527,plain,
    ( spl154_266
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_266])]) ).

fof(f18327,plain,
    ( ~ spl154_472
    | ~ spl154_368
    | spl154_395
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f7450,f3409,f3203,f3078,f16623]) ).

fof(f7450,plain,
    ( e0 != op(unit,e2)
    | ~ spl154_368
    | spl154_395
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f3204,f5777]) ).

fof(f3204,plain,
    ( e0 != op(e4,e2)
    | spl154_395 ),
    inference(avatar_component_clause,[],[f3203]) ).

fof(f18141,plain,
    ( ~ spl154_63
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_151
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f17865,f4966,f3119,f2787,f2109,f1944,f1909,f1889,f1457]) ).

fof(f1457,plain,
    ( spl154_63
  <=> sP110 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_63])]) ).

fof(f17865,plain,
    ( ~ sP110
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_151
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f17864]) ).

fof(f17864,plain,
    ( unit != unit
    | ~ sP110
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_151
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f9339,f17846]) ).

fof(f17846,plain,
    ( op(e2,e0) = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_187
    | ~ spl154_315
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2110,f16762]) ).

fof(f9339,plain,
    ( op(e2,e0) != unit
    | ~ sP110
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f8480]) ).

fof(f8480,plain,
    ( unit != unit
    | op(e2,e0) != unit
    | ~ sP110
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f989,f4970]) ).

fof(f989,plain,
    ( e4 != unit
    | op(e2,e0) != unit
    | ~ sP110 ),
    inference(inner_rewriting,[],[f545]) ).

fof(f545,plain,
    ( e4 != unit
    | e4 != op(e2,e0)
    | ~ sP110 ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ( ( e4 != unit
      & e0 = op(e2,e4) )
    | e4 != op(e2,e0)
    | ~ sP110 ),
    inference(nnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e4 != unit
      & e0 = op(e2,e4) )
    | e4 != op(e2,e0)
    | ~ sP110 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).

fof(f17844,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f17693,f5836,f4966,f3487,f3119,f3064,f2787,f1949,f1944,f1934,f1924,f1909,f1904,f1889,f2791]) ).

fof(f17693,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(duplicate_literal_removal,[],[f17692]) ).

fof(f17692,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17691,f16381]) ).

fof(f17691,plain,
    ( e0 = e2
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17690,f1906]) ).

fof(f17690,plain,
    ( e2 = op(e0,unit)
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17689,f4970]) ).

fof(f17689,plain,
    ( e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(duplicate_literal_removal,[],[f17688]) ).

fof(f17688,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17687,f16762]) ).

fof(f17687,plain,
    ( e1 = e2
    | e2 = unit
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f17686,f8552]) ).

fof(f17686,plain,
    ( e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(duplicate_literal_removal,[],[f17685]) ).

fof(f17685,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17684,f16762]) ).

fof(f17684,plain,
    ( e1 = e2
    | e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_365
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17683,f3066]) ).

fof(f17683,plain,
    ( e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(duplicate_literal_removal,[],[f17682]) ).

fof(f17682,plain,
    ( e2 = unit
    | e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17681,f1890]) ).

fof(f17681,plain,
    ( e2 = e3
    | e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17680,f1936]) ).

fof(f17680,plain,
    ( e2 = op(e3,unit)
    | e2 = unit
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17630,f4970]) ).

fof(f17630,plain,
    ( e2 = unit
    | e2 = op(e3,e4)
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f17629,f12234]) ).

fof(f17629,plain,
    ( e2 = op(unit,unit)
    | e2 = op(e3,e4)
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4)
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f940,f4970]) ).

fof(f17670,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f17491,f8339,f3487,f3119,f2998,f2787,f1949,f1934,f1929,f1914,f1909,f1899,f1889,f2791]) ).

fof(f17491,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(duplicate_literal_removal,[],[f17490]) ).

fof(f17490,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_149
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f17489,f12234]) ).

fof(f17489,plain,
    ( e2 = op(unit,unit)
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f17488,f16381]) ).

fof(f17488,plain,
    ( e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(duplicate_literal_removal,[],[f17487]) ).

fof(f17487,plain,
    ( e2 = unit
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_315
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f17486,f16762]) ).

fof(f17486,plain,
    ( e1 = e2
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_145
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f17485,f1916]) ).

fof(f17485,plain,
    ( e2 = op(e1,unit)
    | e2 = unit
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f17484,f16381]) ).

fof(f17484,plain,
    ( e2 = unit
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_152
    | ~ spl154_352
    | ~ spl154_418
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f16287,f16381]) ).

fof(f16287,plain,
    ( e0 = e2
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_446 ),
    inference(duplicate_literal_removal,[],[f16286]) ).

fof(f16286,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f16285,f8341]) ).

fof(f16285,plain,
    ( e0 = e2
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(duplicate_literal_removal,[],[f16284]) ).

fof(f16284,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f16283,f1901]) ).

fof(f16283,plain,
    ( e2 = op(unit,e0)
    | e0 = e2
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f11407,f1890]) ).

fof(f11407,plain,
    ( e0 = e2
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f3676,f1901]) ).

fof(f3676,plain,
    ( e2 = op(unit,e0)
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f900,f3638]) ).

fof(f3638,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f3558,f3502]) ).

fof(f3502,plain,
    ( unit = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_148 ),
    inference(superposition,[],[f1931,f1890]) ).

fof(f3558,plain,
    ( e4 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_352 ),
    inference(superposition,[],[f3000,f1890]) ).

fof(f17469,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f17434,f8206,f2350,f1889,f2791]) ).

fof(f17434,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f17433,f1890]) ).

fof(f17435,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_357 ),
    inference(avatar_split_clause,[],[f16720,f3027,f2787,f1934,f1889,f2791]) ).

fof(f3027,plain,
    ( spl154_357
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_357])]) ).

fof(f16720,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_315
    | ~ spl154_357 ),
    inference(forward_demodulation,[],[f8366,f12234]) ).

fof(f8366,plain,
    ( e2 = op(unit,unit)
    | ~ spl154_315
    | ~ spl154_357 ),
    inference(forward_demodulation,[],[f3029,f2788]) ).

fof(f3029,plain,
    ( e2 = op(e4,e4)
    | ~ spl154_357 ),
    inference(avatar_component_clause,[],[f3027]) ).

fof(f17353,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_371
    | ~ spl154_418
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(avatar_split_clause,[],[f16705,f5836,f4966,f3487,f3092,f1949,f1944,f1924,f1909,f1889,f1894]) ).

fof(f16705,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_151
    | ~ spl154_152
    | ~ spl154_371
    | ~ spl154_418
    | ~ spl154_429
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f16704,f4970]) ).

fof(f16704,plain,
    ( e1 = e4
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_371
    | ~ spl154_418
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f16703,f1911]) ).

fof(f16703,plain,
    ( e4 = op(unit,e1)
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_152
    | ~ spl154_371
    | ~ spl154_418
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f8389,f16381]) ).

fof(f8389,plain,
    ( e4 = op(e0,e1)
    | ~ spl154_147
    | ~ spl154_371
    | ~ spl154_432 ),
    inference(forward_demodulation,[],[f3093,f8203]) ).

fof(f16647,plain,
    ( spl154_315
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f15661,f2998,f1934,f1889,f2787]) ).

fof(f16641,plain,
    ( spl154_427
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_375 ),
    inference(avatar_split_clause,[],[f16298,f3110,f2998,f1934,f1889,f4953]) ).

fof(f16298,plain,
    ( op(e0,e0) = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_375 ),
    inference(forward_demodulation,[],[f3111,f15661]) ).

fof(f16638,plain,
    ( ~ spl154_474
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_371 ),
    inference(avatar_split_clause,[],[f16235,f3092,f2998,f1934,f1889,f16635]) ).

fof(f16235,plain,
    ( op(e0,e2) != unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_371 ),
    inference(forward_demodulation,[],[f3094,f15661]) ).

fof(f3094,plain,
    ( e4 != op(e0,e2)
    | spl154_371 ),
    inference(avatar_component_clause,[],[f3092]) ).

fof(f16632,plain,
    ( ~ spl154_473
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_370 ),
    inference(avatar_split_clause,[],[f16217,f3087,f2998,f1934,f1889,f16629]) ).

fof(f16217,plain,
    ( op(e1,e0) != unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_370 ),
    inference(forward_demodulation,[],[f3089,f15661]) ).

fof(f3089,plain,
    ( e4 != op(e1,e0)
    | spl154_370 ),
    inference(avatar_component_clause,[],[f3087]) ).

fof(f16626,plain,
    ( ~ spl154_472
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_395 ),
    inference(avatar_split_clause,[],[f15960,f3203,f2998,f1934,f1889,f16623]) ).

fof(f15960,plain,
    ( e0 != op(unit,e2)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | spl154_395 ),
    inference(forward_demodulation,[],[f3204,f15661]) ).

fof(f16543,plain,
    ( spl154_435
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_445 ),
    inference(avatar_split_clause,[],[f15940,f8324,f2998,f1934,f1889,f6502]) ).

fof(f8324,plain,
    ( spl154_445
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_445])]) ).

fof(f15940,plain,
    ( unit = op(e0,unit)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_445 ),
    inference(forward_demodulation,[],[f8326,f15661]) ).

fof(f8326,plain,
    ( e4 = op(e0,e4)
    | ~ spl154_445 ),
    inference(avatar_component_clause,[],[f8324]) ).

fof(f16541,plain,
    ( ~ spl154_471
    | ~ spl154_140
    | spl154_389 ),
    inference(avatar_split_clause,[],[f15918,f3176,f1889,f16538]) ).

fof(f15918,plain,
    ( op(e0,e1) != unit
    | ~ spl154_140
    | spl154_389 ),
    inference(forward_demodulation,[],[f3178,f1890]) ).

fof(f3178,plain,
    ( e3 != op(e0,e1)
    | spl154_389 ),
    inference(avatar_component_clause,[],[f3176]) ).

fof(f16475,plain,
    ( ~ spl154_291
    | ~ spl154_291
    | spl154_335 ),
    inference(avatar_split_clause,[],[f15525,f2900,f2663,f2663]) ).

fof(f2663,plain,
    ( spl154_291
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_291])]) ).

fof(f2900,plain,
    ( spl154_335
  <=> e2 = op(op(e2,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_335])]) ).

fof(f15525,plain,
    ( e2 != op(e2,e4)
    | ~ spl154_291
    | spl154_335 ),
    inference(forward_demodulation,[],[f2901,f2664]) ).

fof(f2664,plain,
    ( e2 = op(e2,e4)
    | ~ spl154_291 ),
    inference(avatar_component_clause,[],[f2663]) ).

fof(f2901,plain,
    ( e2 != op(op(e2,e4),e4)
    | spl154_335 ),
    inference(avatar_component_clause,[],[f2900]) ).

fof(f16472,plain,
    ( ~ spl154_142
    | ~ spl154_140
    | spl154_447 ),
    inference(avatar_split_clause,[],[f13654,f8347,f1889,f1899]) ).

fof(f13654,plain,
    ( e0 != op(unit,e0)
    | ~ spl154_140
    | spl154_447 ),
    inference(forward_demodulation,[],[f8348,f1890]) ).

fof(f8348,plain,
    ( e0 != op(e3,e0)
    | spl154_447 ),
    inference(avatar_component_clause,[],[f8347]) ).

fof(f16424,plain,
    ( spl154_436
    | ~ spl154_140
    | ~ spl154_382 ),
    inference(avatar_split_clause,[],[f13348,f3143,f1889,f6508]) ).

fof(f13348,plain,
    ( unit = op(unit,e0)
    | ~ spl154_140
    | ~ spl154_382 ),
    inference(forward_demodulation,[],[f3144,f1890]) ).

fof(f16386,plain,
    ( ~ spl154_140
    | spl154_410
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f10594,f8206,f3404,f1889]) ).

fof(f10594,plain,
    ( e3 != unit
    | spl154_410
    | ~ spl154_443 ),
    inference(superposition,[],[f3406,f8208]) ).

fof(f3406,plain,
    ( op(e1,e3) != unit
    | spl154_410 ),
    inference(avatar_component_clause,[],[f3404]) ).

fof(f16368,plain,
    ( ~ spl154_316
    | ~ spl154_357
    | spl154_454 ),
    inference(avatar_split_clause,[],[f10199,f9389,f3027,f2791]) ).

fof(f10199,plain,
    ( e2 != unit
    | ~ spl154_357
    | spl154_454 ),
    inference(superposition,[],[f9390,f3029]) ).

fof(f16302,plain,
    ( ~ spl154_187
    | ~ spl154_175
    | spl154_186 ),
    inference(avatar_split_clause,[],[f2107,f2103,f2045,f2109]) ).

fof(f16294,plain,
    ( ~ spl154_35
    | spl154_139
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_444 ),
    inference(avatar_split_clause,[],[f16271,f8232,f1904,f1889,f1884,f1294]) ).

fof(f16271,plain,
    ( e0 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_444 ),
    inference(trivial_inequality_removal,[],[f16270]) ).

fof(f16270,plain,
    ( e0 != e0
    | e0 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f16269,f1906]) ).

fof(f16269,plain,
    ( e0 != op(e0,unit)
    | e0 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f16268,f1890]) ).

fof(f16268,plain,
    ( e0 = unit
    | e0 != op(e0,e3)
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f13510,f8234]) ).

fof(f13510,plain,
    ( op(e0,e0) = unit
    | e0 != op(e0,e3)
    | ~ sP3
    | ~ spl154_140 ),
    inference(forward_demodulation,[],[f758,f1890]) ).

fof(f16267,plain,
    ( ~ spl154_40
    | spl154_316
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_332
    | ~ spl154_352
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f16262,f8339,f2998,f2878,f1934,f1904,f1889,f2791,f1321]) ).

fof(f1321,plain,
    ( spl154_40
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_40])]) ).

fof(f2878,plain,
    ( spl154_332
  <=> e2 = op(op(e2,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_332])]) ).

fof(f16262,plain,
    ( e2 = unit
    | ~ sP4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_332
    | ~ spl154_352
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f16034,f16254]) ).

fof(f16254,plain,
    ( op(e0,e0) = e2
    | ~ spl154_332
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f2880,f8341]) ).

fof(f2880,plain,
    ( e2 = op(op(e2,e0),e0)
    | ~ spl154_332 ),
    inference(avatar_component_clause,[],[f2878]) ).

fof(f16034,plain,
    ( op(e0,e0) = unit
    | ~ sP4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(trivial_inequality_removal,[],[f16033]) ).

fof(f16033,plain,
    ( e0 != e0
    | op(e0,e0) = unit
    | ~ sP4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15842,f1906]) ).

fof(f15842,plain,
    ( e0 != op(e0,unit)
    | op(e0,e0) = unit
    | ~ sP4
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f15802,f15661]) ).

fof(f15802,plain,
    ( op(e0,e0) = unit
    | e0 != op(e0,e4)
    | ~ sP4
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f756,f15661]) ).

fof(f756,plain,
    ( op(e0,e0) = e4
    | e0 != op(e0,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f314]) ).

fof(f314,plain,
    ( ( e0 != unit
      & op(e0,e0) = e4 )
    | e0 != op(e0,e4)
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ( e0 != unit
      & op(e0,e0) = e4 )
    | e0 != op(e0,e4)
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f16261,plain,
    ( ~ spl154_35
    | spl154_316
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_397 ),
    inference(avatar_split_clause,[],[f16032,f3213,f1904,f1889,f2791,f1294]) ).

fof(f16032,plain,
    ( e2 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_397 ),
    inference(trivial_inequality_removal,[],[f16031]) ).

fof(f16031,plain,
    ( e0 != e0
    | e2 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_397 ),
    inference(forward_demodulation,[],[f15906,f1906]) ).

fof(f15906,plain,
    ( e0 != op(e0,unit)
    | e2 = unit
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_397 ),
    inference(forward_demodulation,[],[f15905,f1890]) ).

fof(f15905,plain,
    ( e2 = unit
    | e0 != op(e0,e3)
    | ~ sP3
    | ~ spl154_140
    | ~ spl154_397 ),
    inference(forward_demodulation,[],[f13510,f3214]) ).

fof(f16216,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f16157,f8206,f6508,f3387,f2998,f1944,f1934,f1904,f1899,f1889,f2791]) ).

fof(f16157,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f16156]) ).

fof(f16156,plain,
    ( e2 = unit
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_436
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15901,f14798]) ).

fof(f15901,plain,
    ( e2 = unit
    | e0 = e2
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f15900]) ).

fof(f15900,plain,
    ( e2 = unit
    | e0 = e2
    | e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_149
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15346,f15661]) ).

fof(f15346,plain,
    ( e0 = e2
    | e2 = unit
    | e2 = e4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15345,f1906]) ).

fof(f15345,plain,
    ( e2 = op(e0,unit)
    | e2 = unit
    | e2 = e4
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15344,f1890]) ).

fof(f15344,plain,
    ( e2 = unit
    | e2 = e4
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f15343]) ).

fof(f15343,plain,
    ( e2 = unit
    | e2 = e4
    | e2 = unit
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15342,f1890]) ).

fof(f15342,plain,
    ( e2 = e3
    | e2 = e4
    | e2 = unit
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f15341,f8208]) ).

fof(f15341,plain,
    ( e2 = e4
    | e2 = unit
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407 ),
    inference(duplicate_literal_removal,[],[f15340]) ).

fof(f15340,plain,
    ( e2 = e4
    | e2 = unit
    | e2 = e4
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_151
    | ~ spl154_352
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f15339,f1946]) ).

fof(f15339,plain,
    ( e2 = op(e4,unit)
    | e2 = unit
    | e2 = e4
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f10690,f1890]) ).

fof(f10690,plain,
    ( e2 = unit
    | e2 = e4
    | e2 = op(e4,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_352
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f9767,f3388]) ).

fof(f3388,plain,
    ( op(e2,e3) = unit
    | ~ spl154_407 ),
    inference(avatar_component_clause,[],[f3387]) ).

fof(f9767,plain,
    ( e2 = e4
    | e2 = op(e4,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f930,f3000]) ).

fof(f930,plain,
    ( e2 = op(e4,e3)
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f16110,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_175
    | ~ spl154_352
    | ~ spl154_370 ),
    inference(avatar_split_clause,[],[f15994,f3087,f2998,f2045,f1934,f1889,f1894]) ).

fof(f15994,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_175
    | ~ spl154_352
    | ~ spl154_370 ),
    inference(forward_demodulation,[],[f2047,f15828]) ).

fof(f16025,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_470 ),
    inference(avatar_split_clause,[],[f15937,f14802,f2998,f1934,f1889,f1884]) ).

fof(f14802,plain,
    ( spl154_470
  <=> e0 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_470])]) ).

fof(f15937,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_470 ),
    inference(forward_demodulation,[],[f15936,f12234]) ).

fof(f15936,plain,
    ( e0 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_470 ),
    inference(forward_demodulation,[],[f14804,f15661]) ).

fof(f14804,plain,
    ( e0 = op(e4,unit)
    | ~ spl154_470 ),
    inference(avatar_component_clause,[],[f14802]) ).

fof(f15824,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_370
    | ~ spl154_435 ),
    inference(avatar_split_clause,[],[f15823,f6502,f3087,f2998,f1934,f1914,f1904,f1889,f1894]) ).

fof(f15823,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_145
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_370
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f15822,f15661]) ).

fof(f15822,plain,
    ( e1 = e4
    | ~ spl154_143
    | ~ spl154_145
    | ~ spl154_370
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f15821,f1916]) ).

fof(f15821,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_143
    | ~ spl154_370
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f3088,f14795]) ).

fof(f15717,plain,
    ( spl154_315
    | ~ spl154_140
    | ~ spl154_330
    | ~ spl154_377
    | ~ spl154_421 ),
    inference(avatar_split_clause,[],[f15543,f3736,f3119,f2868,f1889,f2787]) ).

fof(f3736,plain,
    ( spl154_421
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_421])]) ).

fof(f15543,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_330
    | ~ spl154_377
    | ~ spl154_421 ),
    inference(forward_demodulation,[],[f3738,f15510]) ).

fof(f15510,plain,
    ( op(e1,e4) = unit
    | ~ spl154_140
    | ~ spl154_330
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f12750,f1890]) ).

fof(f12750,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_330
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2869,f3120]) ).

fof(f2869,plain,
    ( op(e1,e4) = op(e4,e1)
    | ~ spl154_330 ),
    inference(avatar_component_clause,[],[f2868]) ).

fof(f3738,plain,
    ( e4 = op(e1,e4)
    | ~ spl154_421 ),
    inference(avatar_component_clause,[],[f3736]) ).

fof(f15665,plain,
    ( spl154_137
    | ~ spl154_140
    | ~ spl154_150
    | ~ spl154_353 ),
    inference(avatar_split_clause,[],[f15528,f3009,f1939,f1889,f1874]) ).

fof(f1874,plain,
    ( spl154_137
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_137])]) ).

fof(f3009,plain,
    ( spl154_353
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_353])]) ).

fof(f15528,plain,
    ( e2 = e4
    | ~ spl154_140
    | ~ spl154_150
    | ~ spl154_353 ),
    inference(forward_demodulation,[],[f15527,f1941]) ).

fof(f15527,plain,
    ( e2 = op(unit,e4)
    | ~ spl154_140
    | ~ spl154_353 ),
    inference(forward_demodulation,[],[f3010,f1890]) ).

fof(f3010,plain,
    ( e2 = op(e3,e4)
    | ~ spl154_353 ),
    inference(avatar_component_clause,[],[f3009]) ).

fof(f15505,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(avatar_split_clause,[],[f15415,f6502,f4953,f3027,f2998,f1904,f1889,f2791]) ).

fof(f15415,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f15414,f14870]) ).

fof(f14870,plain,
    ( unit = op(unit,unit)
    | ~ spl154_143
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f4954,f14795]) ).

fof(f15414,plain,
    ( e2 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f3029,f15320]) ).

fof(f15320,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_352
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f3558,f14870]) ).

fof(f15324,plain,
    ( spl154_315
    | ~ spl154_143
    | ~ spl154_375
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(avatar_split_clause,[],[f15187,f6502,f4953,f3110,f1904,f2787]) ).

fof(f15187,plain,
    ( e4 = unit
    | ~ spl154_143
    | ~ spl154_375
    | ~ spl154_427
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f15186,f14870]) ).

fof(f15186,plain,
    ( e4 = op(unit,unit)
    | ~ spl154_143
    | ~ spl154_375
    | ~ spl154_435 ),
    inference(forward_demodulation,[],[f3111,f14795]) ).

fof(f15008,plain,
    ( spl154_141
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316 ),
    inference(avatar_split_clause,[],[f4158,f2791,f1954,f1949,f1919,f1894]) ).

fof(f4158,plain,
    ( e1 = unit
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316 ),
    inference(forward_demodulation,[],[f4157,f4074]) ).

fof(f4074,plain,
    ( unit = op(unit,unit)
    | ~ spl154_146
    | ~ spl154_316 ),
    inference(superposition,[],[f1921,f2792]) ).

fof(f2792,plain,
    ( e2 = unit
    | ~ spl154_316 ),
    inference(avatar_component_clause,[],[f2791]) ).

fof(f4157,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316 ),
    inference(forward_demodulation,[],[f4077,f4156]) ).

fof(f4156,plain,
    ( e3 = unit
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316 ),
    inference(forward_demodulation,[],[f4076,f4074]) ).

fof(f4076,plain,
    ( e3 = op(unit,unit)
    | ~ spl154_152
    | ~ spl154_316 ),
    inference(superposition,[],[f1951,f2792]) ).

fof(f4077,plain,
    ( e1 = op(e3,unit)
    | ~ spl154_153
    | ~ spl154_316 ),
    inference(superposition,[],[f1956,f2792]) ).

fof(f15007,plain,
    ( ~ spl154_5
    | spl154_469 ),
    inference(avatar_split_clause,[],[f515,f11532,f1142]) ).

fof(f1142,plain,
    ( spl154_5
  <=> sP125 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_5])]) ).

fof(f11532,plain,
    ( spl154_469
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_469])]) ).

fof(f515,plain,
    ( sP24
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ( ( sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10
      & sP9
      & sP8
      & sP7
      & sP6
      & sP5
      & sP4
      & sP3
      & sP2
      & sP1
      & sP0 )
    | ~ sP125 ),
    inference(nnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( sP24
      & sP23
      & sP22
      & sP21
      & sP20
      & sP19
      & sP18
      & sP17
      & sP16
      & sP15
      & sP14
      & sP13
      & sP12
      & sP11
      & sP10
      & sP9
      & sP8
      & sP7
      & sP6
      & sP5
      & sP4
      & sP3
      & sP2
      & sP1
      & sP0 )
    | ~ sP125 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).

fof(f14871,plain,
    ( spl154_133
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177 ),
    inference(avatar_split_clause,[],[f3577,f2055,f1909,f1889,f1854]) ).

fof(f2055,plain,
    ( spl154_177
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_177])]) ).

fof(f3577,plain,
    ( e1 = e2
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177 ),
    inference(forward_demodulation,[],[f3505,f1911]) ).

fof(f3505,plain,
    ( e2 = op(unit,e1)
    | ~ spl154_140
    | ~ spl154_177 ),
    inference(superposition,[],[f2057,f1890]) ).

fof(f2057,plain,
    ( e2 = op(e3,e1)
    | ~ spl154_177 ),
    inference(avatar_component_clause,[],[f2055]) ).

fof(f14863,plain,
    ( spl154_427
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_375 ),
    inference(avatar_split_clause,[],[f14611,f3110,f2998,f2791,f1924,f1889,f4953]) ).

fof(f14611,plain,
    ( op(e0,e0) = unit
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_375 ),
    inference(forward_demodulation,[],[f3111,f14219]) ).

fof(f14219,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_147
    | ~ spl154_316
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f12282,f13016]) ).

fof(f13016,plain,
    ( unit = op(unit,unit)
    | ~ spl154_147
    | ~ spl154_316 ),
    inference(superposition,[],[f1926,f2792]) ).

fof(f14861,plain,
    ( spl154_445
    | ~ spl154_324
    | ~ spl154_360 ),
    inference(avatar_split_clause,[],[f14406,f3041,f2832,f8324]) ).

fof(f2832,plain,
    ( spl154_324
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_324])]) ).

fof(f3041,plain,
    ( spl154_360
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_360])]) ).

fof(f14406,plain,
    ( e4 = op(e0,e4)
    | ~ spl154_324
    | ~ spl154_360 ),
    inference(forward_demodulation,[],[f2833,f3042]) ).

fof(f3042,plain,
    ( e4 = op(e4,e0)
    | ~ spl154_360 ),
    inference(avatar_component_clause,[],[f3041]) ).

fof(f2833,plain,
    ( op(e0,e4) = op(e4,e0)
    | ~ spl154_324 ),
    inference(avatar_component_clause,[],[f2832]) ).

fof(f14808,plain,
    ( spl154_261
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f13781,f8339,f2055,f1909,f1889,f2498]) ).

fof(f2498,plain,
    ( spl154_261
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_261])]) ).

fof(f13781,plain,
    ( e0 = op(e1,e0)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f8341,f3577]) ).

fof(f14805,plain,
    ( spl154_470
    | ~ spl154_140
    | ~ spl154_380 ),
    inference(avatar_split_clause,[],[f13751,f3132,f1889,f14802]) ).

fof(f3132,plain,
    ( spl154_380
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_380])]) ).

fof(f13751,plain,
    ( e0 = op(e4,unit)
    | ~ spl154_140
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f3134,f1890]) ).

fof(f3134,plain,
    ( e0 = op(e4,e3)
    | ~ spl154_380 ),
    inference(avatar_component_clause,[],[f3132]) ).

fof(f14797,plain,
    ( ~ spl154_139
    | spl154_131
    | ~ spl154_140 ),
    inference(avatar_split_clause,[],[f3500,f1889,f1844,f1884]) ).

fof(f3500,plain,
    ( e0 != unit
    | spl154_131
    | ~ spl154_140 ),
    inference(superposition,[],[f1846,f1890]) ).

fof(f1846,plain,
    ( e0 != e3
    | spl154_131 ),
    inference(avatar_component_clause,[],[f1844]) ).

fof(f14721,plain,
    ( ~ spl154_66
    | spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_175
    | ~ spl154_177 ),
    inference(avatar_split_clause,[],[f14697,f2055,f2045,f1909,f1889,f1884,f1473]) ).

fof(f1473,plain,
    ( spl154_66
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_66])]) ).

fof(f14697,plain,
    ( e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_175
    | ~ spl154_177 ),
    inference(trivial_inequality_removal,[],[f14696]) ).

fof(f14696,plain,
    ( e1 != e1
    | e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_175
    | ~ spl154_177 ),
    inference(forward_demodulation,[],[f3656,f2047]) ).

fof(f3656,plain,
    ( e1 != op(e1,e0)
    | e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177 ),
    inference(forward_demodulation,[],[f3655,f3577]) ).

fof(f3655,plain,
    ( e0 = unit
    | e2 != op(e2,e0)
    | ~ sP60
    | ~ spl154_140 ),
    inference(forward_demodulation,[],[f1499,f1890]) ).

fof(f1499,plain,
    ( e0 = e3
    | e2 != op(e2,e0)
    | ~ sP60 ),
    inference(forward_demodulation,[],[f644,f893]) ).

fof(f644,plain,
    ( e0 = op(e2,e2)
    | e2 != op(e2,e0)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,plain,
    ( ( e2 != unit
      & e0 = op(e2,e2) )
    | e2 != op(e2,e0)
    | ~ sP60 ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e2 != unit
      & e0 = op(e2,e2) )
    | e2 != op(e2,e0)
    | ~ sP60 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f14693,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f14678,f3434,f2791,f2055,f1959,f1954,f1949,f1919,f1909,f1889,f1884]) ).

fof(f14678,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f12657,f4158]) ).

fof(f12657,plain,
    ( e0 = e1
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f12656,f1961]) ).

fof(f12656,plain,
    ( e1 = op(e1,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f3436,f3577]) ).

fof(f14615,plain,
    ( ~ spl154_66
    | spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_320
    | ~ spl154_413 ),
    inference(avatar_split_clause,[],[f13803,f3430,f2812,f2055,f1909,f1889,f1884,f1473]) ).

fof(f2812,plain,
    ( spl154_320
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_320])]) ).

fof(f13803,plain,
    ( e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_320
    | ~ spl154_413 ),
    inference(trivial_inequality_removal,[],[f13802]) ).

fof(f13802,plain,
    ( e1 != e1
    | e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_320
    | ~ spl154_413 ),
    inference(forward_demodulation,[],[f13623,f13717]) ).

fof(f13717,plain,
    ( e1 = op(e0,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_413 ),
    inference(forward_demodulation,[],[f3432,f3577]) ).

fof(f13623,plain,
    ( e1 != op(e0,e1)
    | e0 = unit
    | ~ sP60
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_320 ),
    inference(forward_demodulation,[],[f3656,f12492]) ).

fof(f12492,plain,
    ( op(e0,e1) = op(e1,e0)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_320 ),
    inference(forward_demodulation,[],[f2813,f3577]) ).

fof(f2813,plain,
    ( op(e0,e2) = op(e2,e0)
    | ~ spl154_320 ),
    inference(avatar_component_clause,[],[f2812]) ).

fof(f14383,plain,
    ( spl154_315
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_336
    | ~ spl154_375 ),
    inference(avatar_split_clause,[],[f13865,f3110,f2905,f1899,f1889,f2787]) ).

fof(f2905,plain,
    ( spl154_336
  <=> e3 = op(op(e3,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_336])]) ).

fof(f13865,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_336
    | ~ spl154_375 ),
    inference(forward_demodulation,[],[f3111,f13647]) ).

fof(f13647,plain,
    ( op(e0,e0) = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_336 ),
    inference(forward_demodulation,[],[f13646,f1901]) ).

fof(f13646,plain,
    ( unit = op(op(unit,e0),e0)
    | ~ spl154_140
    | ~ spl154_336 ),
    inference(forward_demodulation,[],[f2907,f1890]) ).

fof(f2907,plain,
    ( e3 = op(op(e3,e0),e0)
    | ~ spl154_336 ),
    inference(avatar_component_clause,[],[f2905]) ).

fof(f14181,plain,
    ( spl154_129
    | ~ spl154_140
    | ~ spl154_378
    | ~ spl154_380 ),
    inference(avatar_split_clause,[],[f13817,f3132,f3123,f1889,f1834]) ).

fof(f3123,plain,
    ( spl154_378
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_378])]) ).

fof(f13817,plain,
    ( e0 = e1
    | ~ spl154_140
    | ~ spl154_378
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f13574,f13751]) ).

fof(f13574,plain,
    ( e1 = op(e4,unit)
    | ~ spl154_140
    | ~ spl154_378 ),
    inference(forward_demodulation,[],[f3125,f1890]) ).

fof(f3125,plain,
    ( e1 = op(e4,e3)
    | ~ spl154_378 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f13780,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_380
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f13753,f3414,f3132,f2998,f1889,f1884]) ).

fof(f13753,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_380
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f13752,f3415]) ).

fof(f13752,plain,
    ( e0 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_380
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f13751,f11462]) ).

fof(f11462,plain,
    ( e4 = unit
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f3558,f3415]) ).

fof(f13754,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_326
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f12665,f3414,f3060,f2998,f2848,f2055,f1959,f1909,f1889,f1884]) ).

fof(f12665,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_326
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f12664,f11462]) ).

fof(f12664,plain,
    ( e0 = e4
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_326
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f12663,f1961]) ).

fof(f12663,plain,
    ( e4 = op(e1,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_326
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f10333,f3577]) ).

fof(f10333,plain,
    ( e4 = op(e1,e2)
    | ~ spl154_326
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f2849,f3061]) ).

fof(f13719,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f13486,f8206,f3231,f2055,f1909,f1889,f1884]) ).

fof(f13486,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f13485,f12371]) ).

fof(f12371,plain,
    ( unit = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_443 ),
    inference(superposition,[],[f8208,f1890]) ).

fof(f13485,plain,
    ( e0 = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f13484,f3577]) ).

fof(f13484,plain,
    ( e0 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f3232,f1890]) ).

fof(f3232,plain,
    ( e0 = op(e2,e3)
    | ~ spl154_401 ),
    inference(avatar_component_clause,[],[f3231]) ).

fof(f13601,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_412
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f13235,f3434,f3414,f3060,f2998,f2791,f2055,f1959,f1909,f1889,f1884]) ).

fof(f13235,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_412
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f12657,f13167]) ).

fof(f13167,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f13166,f11462]) ).

fof(f13166,plain,
    ( e1 = e4
    | ~ spl154_144
    | ~ spl154_316
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f13074,f1911]) ).

fof(f13074,plain,
    ( e4 = op(unit,e1)
    | ~ spl154_316
    | ~ spl154_364 ),
    inference(superposition,[],[f3061,f2792]) ).

fof(f13347,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_401
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f13222,f8206,f3414,f3231,f3060,f2998,f2791,f2350,f2055,f1909,f1889,f1884]) ).

fof(f13222,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_401
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f13221,f12371]) ).

fof(f13221,plain,
    ( e0 = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_401
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f13220,f3577]) ).

fof(f13220,plain,
    ( e0 = op(e2,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_401
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f12703,f13167]) ).

fof(f12703,plain,
    ( e0 = op(e2,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f3232,f11992]) ).

fof(f11992,plain,
    ( e1 = e3
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f10749,f3577]) ).

fof(f10749,plain,
    ( e2 = e3
    | ~ spl154_232
    | ~ spl154_443 ),
    inference(superposition,[],[f8208,f2351]) ).

fof(f13323,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_340
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_444 ),
    inference(avatar_split_clause,[],[f13283,f8232,f3414,f2998,f2930,f1899,f1889,f1884]) ).

fof(f13283,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_340
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f8234,f12509]) ).

fof(f12509,plain,
    ( op(e0,e0) = unit
    | ~ spl154_140
    | ~ spl154_142
    | ~ spl154_340
    | ~ spl154_352
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f12508,f1901]) ).

fof(f12508,plain,
    ( unit = op(op(unit,e0),e0)
    | ~ spl154_140
    | ~ spl154_340
    | ~ spl154_352
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f2932,f11462]) ).

fof(f13282,plain,
    ( spl154_139
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_371
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f13219,f3414,f3092,f3060,f2998,f2791,f2055,f1909,f1904,f1889,f1884]) ).

fof(f13219,plain,
    ( e0 = unit
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_371
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f13218,f11462]) ).

fof(f13218,plain,
    ( e0 = e4
    | ~ spl154_140
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_371
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f13217,f1906]) ).

fof(f13217,plain,
    ( e4 = op(e0,unit)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_316
    | ~ spl154_352
    | ~ spl154_364
    | ~ spl154_371
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f12711,f13167]) ).

fof(f12711,plain,
    ( e4 = op(e0,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_371 ),
    inference(forward_demodulation,[],[f3093,f3577]) ).

fof(f13180,plain,
    ( spl154_139
    | ~ spl154_427
    | ~ spl154_444 ),
    inference(avatar_split_clause,[],[f12571,f8232,f4953,f1884]) ).

fof(f12571,plain,
    ( e0 = unit
    | ~ spl154_427
    | ~ spl154_444 ),
    inference(forward_demodulation,[],[f8234,f4954]) ).

fof(f13010,plain,
    ( spl154_316
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f12230,f3414,f3027,f2998,f1889,f2791]) ).

fof(f12230,plain,
    ( e2 = unit
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f12229,f3415]) ).

fof(f12229,plain,
    ( e2 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f3029,f11462]) ).

fof(f12395,plain,
    ( spl154_433
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f12097,f3494,f3414,f2998,f2055,f1909,f1889,f6254]) ).

fof(f3494,plain,
    ( spl154_419
  <=> op(e4,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_419])]) ).

fof(f12097,plain,
    ( unit = op(unit,e1)
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_412
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f12096,f11462]) ).

fof(f12096,plain,
    ( op(e4,e1) = unit
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f3496,f3577]) ).

fof(f3496,plain,
    ( op(e4,e2) = unit
    | ~ spl154_419 ),
    inference(avatar_component_clause,[],[f3494]) ).

fof(f12387,plain,
    ( spl154_459
    | ~ spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_352
    | ~ spl154_399
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f12013,f8206,f3414,f3222,f2998,f2350,f2055,f1909,f1889,f1884,f10149]) ).

fof(f3222,plain,
    ( spl154_399
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_399])]) ).

fof(f12013,plain,
    ( unit = op(e1,unit)
    | ~ spl154_139
    | ~ spl154_140
    | ~ spl154_144
    | ~ spl154_177
    | ~ spl154_232
    | ~ spl154_352
    | ~ spl154_399
    | ~ spl154_412
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f11703,f11992]) ).

fof(f11703,plain,
    ( unit = op(e3,unit)
    | ~ spl154_139
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_399
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f11216,f11462]) ).

fof(f11216,plain,
    ( op(e3,e4) = unit
    | ~ spl154_139
    | ~ spl154_399 ),
    inference(forward_demodulation,[],[f3223,f1885]) ).

fof(f1885,plain,
    ( e0 = unit
    | ~ spl154_139 ),
    inference(avatar_component_clause,[],[f1884]) ).

fof(f3223,plain,
    ( e0 = op(e3,e4)
    | ~ spl154_399 ),
    inference(avatar_component_clause,[],[f3222]) ).

fof(f12367,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_412
    | ~ spl154_454 ),
    inference(avatar_split_clause,[],[f12204,f9389,f3414,f3078,f3027,f2998,f1914,f1889,f1894]) ).

fof(f12204,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_352
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_412
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f9489,f11462]) ).

fof(f9489,plain,
    ( e1 = e4
    | ~ spl154_145
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f9488,f1916]) ).

fof(f9488,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f3079,f9401]) ).

fof(f9401,plain,
    ( e2 = unit
    | ~ spl154_357
    | ~ spl154_454 ),
    inference(superposition,[],[f3029,f9391]) ).

fof(f11941,plain,
    ( spl154_459
    | ~ spl154_152
    | ~ spl154_434
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f11883,f8206,f6497,f1949,f10149]) ).

fof(f11883,plain,
    ( unit = op(e1,unit)
    | ~ spl154_152
    | ~ spl154_434
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f8208,f8199]) ).

fof(f11903,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_330
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_412
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f11852,f6497,f3414,f3119,f2998,f2868,f1949,f1914,f1889,f1894]) ).

fof(f11852,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_330
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_412
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f11851,f8199]) ).

fof(f11851,plain,
    ( e1 = e3
    | ~ spl154_140
    | ~ spl154_145
    | ~ spl154_330
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f11850,f1916]) ).

fof(f11850,plain,
    ( e3 = op(e1,unit)
    | ~ spl154_140
    | ~ spl154_330
    | ~ spl154_352
    | ~ spl154_377
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f11056,f11462]) ).

fof(f11056,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_330
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2869,f3120]) ).

fof(f11791,plain,
    ( spl154_141
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_359
    | ~ spl154_412 ),
    inference(avatar_split_clause,[],[f11775,f3414,f3036,f2998,f1889,f1894]) ).

fof(f11775,plain,
    ( e1 = unit
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_359
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f11774,f3415]) ).

fof(f11774,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_140
    | ~ spl154_352
    | ~ spl154_359
    | ~ spl154_412 ),
    inference(forward_demodulation,[],[f3038,f11462]) ).

fof(f11773,plain,
    ( spl154_141
    | ~ spl154_359
    | ~ spl154_454 ),
    inference(avatar_split_clause,[],[f11772,f9389,f3036,f1894]) ).

fof(f11772,plain,
    ( e1 = unit
    | ~ spl154_359
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f3038,f9391]) ).

fof(f11768,plain,
    ( spl154_365
    | spl154_303
    | spl154_359
    | spl154_134
    | spl154_135
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f11265,f3153,f1939,f1884,f1864,f1859,f3036,f2727,f3064]) ).

fof(f2727,plain,
    ( spl154_303
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_303])]) ).

fof(f1864,plain,
    ( spl154_135
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_135])]) ).

fof(f11265,plain,
    ( e1 = e4
    | e1 = e3
    | e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f11264,f1941]) ).

fof(f11264,plain,
    ( e1 = op(unit,e4)
    | e1 = e3
    | e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | ~ spl154_139
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f11263,f1885]) ).

fof(f11263,plain,
    ( e1 = e3
    | e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e0,e4)
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f938,f3154]) ).

fof(f938,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e1,e4)
    | e1 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f11594,plain,
    ( spl154_452
    | ~ spl154_352
    | ~ spl154_405
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f11301,f7083,f3377,f2998,f9121]) ).

fof(f9121,plain,
    ( spl154_452
  <=> unit = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_452])]) ).

fof(f11301,plain,
    ( unit = op(e3,unit)
    | ~ spl154_352
    | ~ spl154_405
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f3378,f7087]) ).

fof(f11592,plain,
    ( ~ spl154_407
    | ~ spl154_139
    | spl154_401 ),
    inference(avatar_split_clause,[],[f9534,f3231,f1884,f3387]) ).

fof(f9534,plain,
    ( op(e2,e3) != unit
    | ~ spl154_139
    | spl154_401 ),
    inference(forward_demodulation,[],[f3233,f1885]) ).

fof(f11536,plain,
    ( ~ spl154_139
    | spl154_401
    | ~ spl154_407 ),
    inference(avatar_split_clause,[],[f11302,f3387,f3231,f1884]) ).

fof(f11302,plain,
    ( e0 != unit
    | spl154_401
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f3233,f3388]) ).

fof(f11535,plain,
    ( ~ spl154_469
    | ~ spl154_139
    | ~ spl154_454 ),
    inference(avatar_split_clause,[],[f11354,f9389,f1884,f11532]) ).

fof(f11354,plain,
    ( ~ sP24
    | ~ spl154_139
    | ~ spl154_454 ),
    inference(trivial_inequality_removal,[],[f11353]) ).

fof(f11353,plain,
    ( unit != unit
    | ~ sP24
    | ~ spl154_139
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f6595,f9391]) ).

fof(f6595,plain,
    ( op(e4,e4) != unit
    | ~ sP24
    | ~ spl154_139 ),
    inference(trivial_inequality_removal,[],[f6594]) ).

fof(f6594,plain,
    ( unit != unit
    | op(e4,e4) != unit
    | ~ sP24
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1075,f1885]) ).

fof(f1075,plain,
    ( e0 != unit
    | op(e4,e4) != unit
    | ~ sP24 ),
    inference(inner_rewriting,[],[f717]) ).

fof(f717,plain,
    ( e0 != unit
    | e0 != op(e4,e4)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,plain,
    ( ( e0 != unit
      & e4 = op(e4,e0) )
    | e0 != op(e4,e4)
    | ~ sP24 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( e0 != unit
      & e4 = op(e4,e0) )
    | e0 != op(e4,e4)
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f11332,plain,
    ( spl154_136
    | ~ spl154_148
    | ~ spl154_238
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f11331,f7083,f2998,f2382,f1929,f1869]) ).

fof(f11331,plain,
    ( e2 = e3
    | ~ spl154_148
    | ~ spl154_238
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f11330,f1931]) ).

fof(f11330,plain,
    ( e2 = op(unit,e3)
    | ~ spl154_238
    | ~ spl154_352
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f2383,f7087]) ).

fof(f11251,plain,
    ( spl154_315
    | spl154_442
    | spl154_140
    | spl154_316
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_353 ),
    inference(avatar_split_clause,[],[f11224,f3009,f2998,f2055,f1934,f1884,f2791,f1889,f7326,f2787]) ).

fof(f7326,plain,
    ( spl154_442
  <=> op(e3,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_442])]) ).

fof(f11224,plain,
    ( e2 = unit
    | e3 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_353 ),
    inference(duplicate_literal_removal,[],[f11223]) ).

fof(f11223,plain,
    ( e2 = unit
    | e2 = unit
    | e3 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_353 ),
    inference(forward_demodulation,[],[f7150,f3010]) ).

fof(f7150,plain,
    ( e2 = unit
    | e3 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | op(e3,e4) = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6923,f2057]) ).

fof(f6923,plain,
    ( e3 = unit
    | op(e3,e1) = unit
    | op(e3,e2) = unit
    | e4 = unit
    | op(e3,e4) = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6922,f1936]) ).

fof(f6922,plain,
    ( unit = op(e3,unit)
    | op(e3,e1) = unit
    | op(e3,e2) = unit
    | e4 = unit
    | op(e3,e4) = unit
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6921,f1885]) ).

fof(f6921,plain,
    ( op(e3,e1) = unit
    | op(e3,e2) = unit
    | e4 = unit
    | op(e3,e4) = unit
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6920,f1885]) ).

fof(f6920,plain,
    ( op(e3,e2) = unit
    | e4 = unit
    | op(e3,e4) = unit
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6919,f1885]) ).

fof(f6919,plain,
    ( e4 = unit
    | op(e3,e4) = unit
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6918,f1885]) ).

fof(f6918,plain,
    ( e0 = e4
    | op(e3,e4) = unit
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6917,f3000]) ).

fof(f6917,plain,
    ( op(e3,e4) = unit
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f925,f1885]) ).

fof(f925,plain,
    ( e0 = op(e3,e4)
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f11222,plain,
    ( spl154_316
    | ~ spl154_139
    | ~ spl154_353
    | ~ spl154_399 ),
    inference(avatar_split_clause,[],[f11221,f3222,f3009,f1884,f2791]) ).

fof(f11221,plain,
    ( e2 = unit
    | ~ spl154_139
    | ~ spl154_353
    | ~ spl154_399 ),
    inference(forward_demodulation,[],[f3010,f11216]) ).

fof(f11197,plain,
    ( spl154_365
    | spl154_134
    | spl154_133
    | spl154_141
    | spl154_135
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_357
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(avatar_split_clause,[],[f11089,f3377,f3153,f3027,f1939,f1884,f1864,f1894,f1854,f1859,f3064]) ).

fof(f11089,plain,
    ( e1 = e4
    | e1 = unit
    | e1 = e2
    | e1 = e3
    | e1 = op(e2,e4)
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_357
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f11088,f1941]) ).

fof(f11088,plain,
    ( e1 = op(unit,e4)
    | e1 = unit
    | e1 = e2
    | e1 = e3
    | e1 = op(e2,e4)
    | ~ spl154_139
    | ~ spl154_357
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f11087,f1885]) ).

fof(f11087,plain,
    ( e1 = unit
    | e1 = e2
    | e1 = e3
    | e1 = op(e2,e4)
    | e1 = op(e0,e4)
    | ~ spl154_357
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f11086,f3378]) ).

fof(f11086,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e0,e4)
    | ~ spl154_357
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9039,f3029]) ).

fof(f9039,plain,
    ( e1 = e3
    | e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e0,e4)
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f938,f3154]) ).

fof(f11196,plain,
    ( ~ spl154_166
    | ~ spl154_468 ),
    inference(avatar_split_clause,[],[f348,f11193,f2008]) ).

fof(f2008,plain,
    ( spl154_166
  <=> sP144 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_166])]) ).

fof(f11193,plain,
    ( spl154_468
  <=> e4 = op(op(e2,e4),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_468])]) ).

fof(f348,plain,
    ( e4 != op(op(e2,e4),e2)
    | ~ sP144 ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & e2 = op(op(e2,e4),e4)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP144 ),
    inference(nnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & e2 = op(op(e2,e4),e4)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP144 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])]) ).

fof(f11190,plain,
    ( spl154_420
    | ~ spl154_384
    | ~ spl154_467 ),
    inference(avatar_split_clause,[],[f11188,f10775,f3153,f3728]) ).

fof(f3728,plain,
    ( spl154_420
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_420])]) ).

fof(f10775,plain,
    ( spl154_467
  <=> e4 = op(op(e1,e4),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_467])]) ).

fof(f11188,plain,
    ( e4 = op(e3,e1)
    | ~ spl154_384
    | ~ spl154_467 ),
    inference(forward_demodulation,[],[f10776,f3154]) ).

fof(f10776,plain,
    ( e4 = op(op(e1,e4),e1)
    | ~ spl154_467 ),
    inference(avatar_component_clause,[],[f10775]) ).

fof(f11177,plain,
    ( spl154_136
    | ~ spl154_369
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f11163,f3153,f3082,f1869]) ).

fof(f11163,plain,
    ( e2 = e3
    | ~ spl154_369
    | ~ spl154_384 ),
    inference(superposition,[],[f3154,f3084]) ).

fof(f11063,plain,
    ( spl154_136
    | ~ spl154_355
    | ~ spl154_357 ),
    inference(avatar_split_clause,[],[f11054,f3027,f3018,f1869]) ).

fof(f11054,plain,
    ( e2 = e3
    | ~ spl154_355
    | ~ spl154_357 ),
    inference(forward_demodulation,[],[f3029,f3020]) ).

fof(f10851,plain,
    ( spl154_264
    | spl154_378
    | spl154_135
    | spl154_134
    | spl154_141
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_401 ),
    inference(avatar_split_clause,[],[f9783,f3231,f2998,f1929,f1884,f1894,f1859,f1864,f3123,f2516]) ).

fof(f2516,plain,
    ( spl154_264
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_264])]) ).

fof(f9783,plain,
    ( e1 = unit
    | e1 = e3
    | e1 = e4
    | e1 = op(e4,e3)
    | e1 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f6751,f9765]) ).

fof(f9765,plain,
    ( op(e2,e3) = unit
    | ~ spl154_139
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f3232,f1885]) ).

fof(f6751,plain,
    ( e1 = e3
    | e1 = e4
    | e1 = op(e4,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6750,f1931]) ).

fof(f6750,plain,
    ( e1 = op(unit,e3)
    | e1 = e4
    | e1 = op(e4,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6749,f1885]) ).

fof(f10849,plain,
    ( ~ spl154_364
    | ~ spl154_369
    | spl154_467 ),
    inference(avatar_split_clause,[],[f10834,f10775,f3082,f3060]) ).

fof(f10834,plain,
    ( e4 != op(e2,e1)
    | ~ spl154_369
    | spl154_467 ),
    inference(forward_demodulation,[],[f10777,f3084]) ).

fof(f10777,plain,
    ( e4 != op(op(e1,e4),e1)
    | spl154_467 ),
    inference(avatar_component_clause,[],[f10775]) ).

fof(f10847,plain,
    ( ~ spl154_369
    | spl154_335
    | ~ spl154_365 ),
    inference(avatar_split_clause,[],[f10673,f3064,f2900,f3082]) ).

fof(f10673,plain,
    ( e2 != op(e1,e4)
    | spl154_335
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f2901,f3066]) ).

fof(f10828,plain,
    ( spl154_136
    | ~ spl154_355
    | ~ spl154_369
    | ~ spl154_443
    | ~ spl154_449 ),
    inference(avatar_split_clause,[],[f10820,f8361,f8206,f3082,f3018,f1869]) ).

fof(f10820,plain,
    ( e2 = e3
    | ~ spl154_355
    | ~ spl154_369
    | ~ spl154_443
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f10819,f8208]) ).

fof(f10819,plain,
    ( e2 = op(e1,e3)
    | ~ spl154_355
    | ~ spl154_369
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f3084,f10784]) ).

fof(f10827,plain,
    ( ~ spl154_162
    | ~ spl154_364
    | ~ spl154_369 ),
    inference(avatar_split_clause,[],[f10626,f3082,f3060,f1992]) ).

fof(f1992,plain,
    ( spl154_162
  <=> sP139 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_162])]) ).

fof(f10626,plain,
    ( ~ sP139
    | ~ spl154_364
    | ~ spl154_369 ),
    inference(trivial_inequality_removal,[],[f10625]) ).

fof(f10625,plain,
    ( e4 != e4
    | ~ sP139
    | ~ spl154_364
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f10624,f3061]) ).

fof(f10624,plain,
    ( e4 != op(e2,e1)
    | ~ sP139
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f363,f3084]) ).

fof(f363,plain,
    ( e4 != op(op(e1,e4),e1)
    | ~ sP139 ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP139 ),
    inference(nnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP139 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).

fof(f10797,plain,
    ( ~ spl154_139
    | spl154_272
    | ~ spl154_409 ),
    inference(avatar_split_clause,[],[f10743,f3397,f2560,f1884]) ).

fof(f2560,plain,
    ( spl154_272
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_272])]) ).

fof(f3397,plain,
    ( spl154_409
  <=> op(e1,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_409])]) ).

fof(f10743,plain,
    ( e0 != unit
    | spl154_272
    | ~ spl154_409 ),
    inference(superposition,[],[f2562,f3398]) ).

fof(f3398,plain,
    ( op(e1,e4) = unit
    | ~ spl154_409 ),
    inference(avatar_component_clause,[],[f3397]) ).

fof(f2562,plain,
    ( e0 != op(e1,e4)
    | spl154_272 ),
    inference(avatar_component_clause,[],[f2560]) ).

fof(f10781,plain,
    ( spl154_355
    | spl154_134
    | spl154_140
    | spl154_138
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_409 ),
    inference(avatar_split_clause,[],[f10685,f3397,f3377,f3064,f1939,f1884,f1879,f1889,f1859,f3018]) ).

fof(f1879,plain,
    ( spl154_138
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_138])]) ).

fof(f10685,plain,
    ( e3 = e4
    | e3 = unit
    | e1 = e3
    | e3 = op(e4,e4)
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_409 ),
    inference(forward_demodulation,[],[f10684,f1941]) ).

fof(f10684,plain,
    ( e3 = op(unit,e4)
    | e3 = unit
    | e1 = e3
    | e3 = op(e4,e4)
    | ~ spl154_139
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_409 ),
    inference(forward_demodulation,[],[f10683,f1885]) ).

fof(f10683,plain,
    ( e3 = unit
    | e1 = e3
    | e3 = op(e4,e4)
    | e3 = op(e0,e4)
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_409 ),
    inference(duplicate_literal_removal,[],[f10682]) ).

fof(f10682,plain,
    ( e3 = unit
    | e1 = e3
    | e3 = unit
    | e3 = op(e4,e4)
    | e3 = op(e0,e4)
    | ~ spl154_365
    | ~ spl154_405
    | ~ spl154_409 ),
    inference(forward_demodulation,[],[f10681,f3398]) ).

fof(f10681,plain,
    ( e1 = e3
    | e3 = unit
    | e3 = op(e4,e4)
    | e3 = op(e1,e4)
    | e3 = op(e0,e4)
    | ~ spl154_365
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f10680,f3066]) ).

fof(f10680,plain,
    ( e3 = unit
    | e3 = op(e4,e4)
    | e3 = op(e2,e4)
    | e3 = op(e1,e4)
    | e3 = op(e0,e4)
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f942,f3378]) ).

fof(f942,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e3,e4)
    | e3 = op(e2,e4)
    | e3 = op(e1,e4)
    | e3 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f10778,plain,
    ( ~ spl154_162
    | ~ spl154_467 ),
    inference(avatar_split_clause,[],[f363,f10775,f1992]) ).

fof(f10674,plain,
    ( spl154_134
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_386 ),
    inference(avatar_split_clause,[],[f10644,f3162,f1914,f1884,f1859]) ).

fof(f10644,plain,
    ( e1 = e3
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f10425,f1916]) ).

fof(f10425,plain,
    ( e3 = op(e1,unit)
    | ~ spl154_139
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f3163,f1885]) ).

fof(f10663,plain,
    ( ~ spl154_162
    | ~ spl154_364
    | ~ spl154_369 ),
    inference(avatar_split_clause,[],[f10626,f3082,f3060,f1992]) ).

fof(f10662,plain,
    ( ~ spl154_161
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(avatar_split_clause,[],[f10448,f3162,f1959,f1914,f1909,f1884,f1988]) ).

fof(f1988,plain,
    ( spl154_161
  <=> sP138 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_161])]) ).

fof(f10448,plain,
    ( ~ sP138
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(trivial_inequality_removal,[],[f10447]) ).

fof(f10447,plain,
    ( e1 != e1
    | ~ sP138
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f10446,f1911]) ).

fof(f10446,plain,
    ( e1 != op(unit,e1)
    | ~ sP138
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f10445,f1885]) ).

fof(f10445,plain,
    ( e1 != op(e0,e1)
    | ~ sP138
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f10444,f1961]) ).

fof(f10444,plain,
    ( e1 != op(op(e1,e1),e1)
    | ~ sP138
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f366,f8630]) ).

fof(f8630,plain,
    ( e1 = e3
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f8629,f1916]) ).

fof(f8629,plain,
    ( e3 = op(e1,unit)
    | ~ spl154_139
    | ~ spl154_386 ),
    inference(forward_demodulation,[],[f3163,f1885]) ).

fof(f366,plain,
    ( e3 != op(op(e1,e3),e1)
    | ~ sP138 ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ( ( e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP138 ),
    inference(nnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP138 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).

fof(f10621,plain,
    ( spl154_137
    | spl154_316
    | spl154_133
    | spl154_136
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_378
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f10487,f8206,f3231,f3123,f2998,f1929,f1884,f1869,f1854,f2791,f1874]) ).

fof(f10487,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = unit
    | e2 = e4
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_378
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(duplicate_literal_removal,[],[f10486]) ).

fof(f10486,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = e4
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_378
    | ~ spl154_401
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f10477,f8208]) ).

fof(f10477,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = e4
    | e2 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_378
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f10439,f3125]) ).

fof(f10439,plain,
    ( e2 = e3
    | e2 = unit
    | e2 = e4
    | e2 = op(e4,e3)
    | e2 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_352
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f9873,f1931]) ).

fof(f9873,plain,
    ( e2 = op(unit,e3)
    | e2 = unit
    | e2 = e4
    | e2 = op(e4,e3)
    | e2 = op(e1,e3)
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f9768,f1885]) ).

fof(f9768,plain,
    ( e2 = unit
    | e2 = e4
    | e2 = op(e4,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f9767,f9765]) ).

fof(f10617,plain,
    ( ~ spl154_430
    | ~ spl154_139
    | ~ spl154_142
    | spl154_252 ),
    inference(avatar_split_clause,[],[f3326,f2452,f1899,f1884,f5015]) ).

fof(f2452,plain,
    ( spl154_252
  <=> op(e0,e0) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_252])]) ).

fof(f3326,plain,
    ( unit != op(unit,e3)
    | ~ spl154_139
    | ~ spl154_142
    | spl154_252 ),
    inference(forward_demodulation,[],[f3261,f3238]) ).

fof(f3238,plain,
    ( unit = op(unit,unit)
    | ~ spl154_139
    | ~ spl154_142 ),
    inference(superposition,[],[f1901,f1885]) ).

fof(f3261,plain,
    ( op(unit,e3) != op(unit,unit)
    | ~ spl154_139
    | spl154_252 ),
    inference(superposition,[],[f2454,f1885]) ).

fof(f2454,plain,
    ( op(e0,e0) != op(e0,e3)
    | spl154_252 ),
    inference(avatar_component_clause,[],[f2452]) ).

fof(f10615,plain,
    ( ~ spl154_384
    | spl154_330
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f10537,f3119,f2868,f3153]) ).

fof(f10537,plain,
    ( e3 != op(e1,e4)
    | spl154_330
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2870,f3120]) ).

fof(f10613,plain,
    ( spl154_430
    | ~ spl154_139
    | ~ spl154_426 ),
    inference(avatar_split_clause,[],[f10417,f4946,f1884,f5015]) ).

fof(f4946,plain,
    ( spl154_426
  <=> op(e0,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_426])]) ).

fof(f10417,plain,
    ( unit = op(unit,e3)
    | ~ spl154_139
    | ~ spl154_426 ),
    inference(forward_demodulation,[],[f4947,f1885]) ).

fof(f4947,plain,
    ( op(e0,e3) = unit
    | ~ spl154_426 ),
    inference(avatar_component_clause,[],[f4946]) ).

fof(f10611,plain,
    ( spl154_420
    | ~ spl154_341
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f10375,f3119,f2935,f3728]) ).

fof(f2935,plain,
    ( spl154_341
  <=> e4 = op(op(e4,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_341])]) ).

fof(f10375,plain,
    ( e4 = op(e3,e1)
    | ~ spl154_341
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2937,f3120]) ).

fof(f2937,plain,
    ( e4 = op(op(e4,e1),e1)
    | ~ spl154_341 ),
    inference(avatar_component_clause,[],[f2935]) ).

fof(f10604,plain,
    ( spl154_369
    | ~ spl154_335
    | ~ spl154_365 ),
    inference(avatar_split_clause,[],[f10285,f3064,f2900,f3082]) ).

fof(f10285,plain,
    ( e2 = op(e1,e4)
    | ~ spl154_335
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f2902,f3066]) ).

fof(f2902,plain,
    ( e2 = op(op(e2,e4),e4)
    | ~ spl154_335 ),
    inference(avatar_component_clause,[],[f2900]) ).

fof(f10599,plain,
    ( ~ spl154_463
    | ~ spl154_139
    | ~ spl154_144
    | spl154_319 ),
    inference(avatar_split_clause,[],[f10189,f2807,f1909,f1884,f10184]) ).

fof(f10184,plain,
    ( spl154_463
  <=> op(e1,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_463])]) ).

fof(f2807,plain,
    ( spl154_319
  <=> e0 = op(op(e0,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_319])]) ).

fof(f10189,plain,
    ( op(e1,e1) != unit
    | ~ spl154_139
    | ~ spl154_144
    | spl154_319 ),
    inference(forward_demodulation,[],[f10188,f1911]) ).

fof(f10188,plain,
    ( unit != op(op(unit,e1),e1)
    | ~ spl154_139
    | spl154_319 ),
    inference(forward_demodulation,[],[f2808,f1885]) ).

fof(f2808,plain,
    ( e0 != op(op(e0,e1),e1)
    | spl154_319 ),
    inference(avatar_component_clause,[],[f2807]) ).

fof(f10575,plain,
    ( ~ spl154_139
    | ~ spl154_154
    | spl154_463 ),
    inference(avatar_split_clause,[],[f10365,f10184,f1959,f1884]) ).

fof(f10365,plain,
    ( e0 != unit
    | ~ spl154_154
    | spl154_463 ),
    inference(superposition,[],[f10185,f1961]) ).

fof(f10185,plain,
    ( op(e1,e1) != unit
    | spl154_463 ),
    inference(avatar_component_clause,[],[f10184]) ).

fof(f10539,plain,
    ( spl154_316
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_409 ),
    inference(avatar_split_clause,[],[f10494,f3397,f3064,f2900,f2791]) ).

fof(f10494,plain,
    ( e2 = unit
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_409 ),
    inference(forward_demodulation,[],[f10435,f3398]) ).

fof(f10435,plain,
    ( e2 = op(e1,e4)
    | ~ spl154_335
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f2902,f3066]) ).

fof(f10485,plain,
    ( spl154_136
    | ~ spl154_330
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f10436,f3119,f3064,f2900,f2868,f1869]) ).

fof(f10436,plain,
    ( e2 = e3
    | ~ spl154_330
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f10435,f10337]) ).

fof(f10337,plain,
    ( e3 = op(e1,e4)
    | ~ spl154_330
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f2869,f3120]) ).

fof(f10462,plain,
    ( ~ spl154_161
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_154
    | ~ spl154_386 ),
    inference(avatar_split_clause,[],[f10448,f3162,f1959,f1914,f1909,f1884,f1988]) ).

fof(f10438,plain,
    ( ~ spl154_166
    | ~ spl154_365
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f10403,f3078,f3064,f2008]) ).

fof(f10403,plain,
    ( ~ sP144
    | ~ spl154_365
    | ~ spl154_368 ),
    inference(trivial_inequality_removal,[],[f10402]) ).

fof(f10402,plain,
    ( e4 != e4
    | ~ sP144
    | ~ spl154_365
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f10284,f3079]) ).

fof(f10284,plain,
    ( e4 != op(e1,e2)
    | ~ sP144
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f348,f3066]) ).

fof(f10401,plain,
    ( spl154_140
    | ~ spl154_148
    | ~ spl154_430 ),
    inference(avatar_split_clause,[],[f5041,f5015,f1929,f1889]) ).

fof(f5041,plain,
    ( e3 = unit
    | ~ spl154_148
    | ~ spl154_430 ),
    inference(superposition,[],[f5017,f1931]) ).

fof(f5017,plain,
    ( unit = op(unit,e3)
    | ~ spl154_430 ),
    inference(avatar_component_clause,[],[f5015]) ).

fof(f10399,plain,
    ( spl154_465
    | ~ spl154_139
    | ~ spl154_387 ),
    inference(avatar_split_clause,[],[f10329,f3167,f1884,f10240]) ).

fof(f3167,plain,
    ( spl154_387
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_387])]) ).

fof(f10329,plain,
    ( e3 = op(unit,e4)
    | ~ spl154_139
    | ~ spl154_387 ),
    inference(forward_demodulation,[],[f3168,f1885]) ).

fof(f3168,plain,
    ( e3 = op(e0,e4)
    | ~ spl154_387 ),
    inference(avatar_component_clause,[],[f3167]) ).

fof(f10396,plain,
    ( ~ spl154_412
    | ~ spl154_139
    | ~ spl154_148
    | spl154_426
    | ~ spl154_430 ),
    inference(avatar_split_clause,[],[f9284,f5015,f4946,f1929,f1884,f3414]) ).

fof(f9284,plain,
    ( unit != op(unit,unit)
    | ~ spl154_139
    | ~ spl154_148
    | spl154_426
    | ~ spl154_430 ),
    inference(forward_demodulation,[],[f5085,f1885]) ).

fof(f5085,plain,
    ( unit != op(e0,unit)
    | ~ spl154_148
    | spl154_426
    | ~ spl154_430 ),
    inference(forward_demodulation,[],[f4948,f5041]) ).

fof(f4948,plain,
    ( op(e0,e3) != unit
    | spl154_426 ),
    inference(avatar_component_clause,[],[f4946]) ).

fof(f10377,plain,
    ( ~ spl154_172
    | ~ spl154_377
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f10374,f3153,f3119,f2032]) ).

fof(f10374,plain,
    ( ~ sP151
    | ~ spl154_377
    | ~ spl154_384 ),
    inference(trivial_inequality_removal,[],[f10373]) ).

fof(f10373,plain,
    ( e3 != e3
    | ~ sP151
    | ~ spl154_377
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f10372,f3154]) ).

fof(f10372,plain,
    ( e3 != op(e1,e4)
    | ~ sP151
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f325,f3120]) ).

fof(f325,plain,
    ( op(e1,e4) != op(e4,e1)
    | ~ sP151 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f10371,plain,
    ( ~ spl154_465
    | ~ spl154_139
    | spl154_240
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f10327,f3153,f2392,f1884,f10240]) ).

fof(f2392,plain,
    ( spl154_240
  <=> op(e0,e4) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_240])]) ).

fof(f10327,plain,
    ( e3 != op(unit,e4)
    | ~ spl154_139
    | spl154_240
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9898,f1885]) ).

fof(f9898,plain,
    ( e3 != op(e0,e4)
    | spl154_240
    | ~ spl154_384 ),
    inference(superposition,[],[f2394,f3154]) ).

fof(f2394,plain,
    ( op(e0,e4) != op(e1,e4)
    | spl154_240 ),
    inference(avatar_component_clause,[],[f2392]) ).

fof(f10357,plain,
    ( ~ spl154_410
    | spl154_231
    | ~ spl154_407 ),
    inference(avatar_split_clause,[],[f9830,f3387,f2344,f3404]) ).

fof(f2344,plain,
    ( spl154_231
  <=> op(e1,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_231])]) ).

fof(f9830,plain,
    ( op(e1,e3) != unit
    | spl154_231
    | ~ spl154_407 ),
    inference(superposition,[],[f2346,f3388]) ).

fof(f2346,plain,
    ( op(e1,e3) != op(e2,e3)
    | spl154_231 ),
    inference(avatar_component_clause,[],[f2344]) ).

fof(f10355,plain,
    ( ~ spl154_421
    | spl154_274
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f9674,f3078,f2570,f3736]) ).

fof(f2570,plain,
    ( spl154_274
  <=> op(e1,e2) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_274])]) ).

fof(f9674,plain,
    ( e4 != op(e1,e4)
    | spl154_274
    | ~ spl154_368 ),
    inference(superposition,[],[f2572,f3079]) ).

fof(f2572,plain,
    ( op(e1,e2) != op(e1,e4)
    | spl154_274 ),
    inference(avatar_component_clause,[],[f2570]) ).

fof(f10353,plain,
    ( ~ spl154_403
    | ~ spl154_139
    | spl154_312
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f8902,f3203,f2772,f1884,f3367]) ).

fof(f3367,plain,
    ( spl154_403
  <=> op(e4,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_403])]) ).

fof(f2772,plain,
    ( spl154_312
  <=> op(e4,e2) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_312])]) ).

fof(f8902,plain,
    ( op(e4,e3) != unit
    | ~ spl154_139
    | spl154_312
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3708,f1885]) ).

fof(f3708,plain,
    ( e0 != op(e4,e3)
    | spl154_312
    | ~ spl154_395 ),
    inference(superposition,[],[f2774,f3205]) ).

fof(f2774,plain,
    ( op(e4,e2) != op(e4,e3)
    | spl154_312 ),
    inference(avatar_component_clause,[],[f2772]) ).

fof(f10351,plain,
    ( ~ spl154_431
    | ~ spl154_139
    | spl154_305
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f8238,f3119,f2737,f1884,f5020]) ).

fof(f5020,plain,
    ( spl154_431
  <=> e3 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_431])]) ).

fof(f2737,plain,
    ( spl154_305
  <=> op(e4,e0) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_305])]) ).

fof(f8238,plain,
    ( e3 != op(e4,unit)
    | ~ spl154_139
    | spl154_305
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f6943,f1885]) ).

fof(f6943,plain,
    ( e3 != op(e4,e0)
    | spl154_305
    | ~ spl154_377 ),
    inference(superposition,[],[f2739,f3120]) ).

fof(f2739,plain,
    ( op(e4,e0) != op(e4,e1)
    | spl154_305 ),
    inference(avatar_component_clause,[],[f2737]) ).

fof(f10349,plain,
    ( ~ spl154_434
    | ~ spl154_139
    | spl154_321
    | ~ spl154_413 ),
    inference(avatar_split_clause,[],[f7413,f3430,f2817,f1884,f6497]) ).

fof(f2817,plain,
    ( spl154_321
  <=> e0 = op(op(e0,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_321])]) ).

fof(f7413,plain,
    ( op(e2,e2) != unit
    | ~ spl154_139
    | spl154_321
    | ~ spl154_413 ),
    inference(forward_demodulation,[],[f3721,f1885]) ).

fof(f3721,plain,
    ( e0 != op(e2,e2)
    | spl154_321
    | ~ spl154_413 ),
    inference(superposition,[],[f2818,f3432]) ).

fof(f2818,plain,
    ( e0 != op(op(e0,e2),e2)
    | spl154_321 ),
    inference(avatar_component_clause,[],[f2817]) ).

fof(f10348,plain,
    ( ~ spl154_56
    | spl154_138
    | ~ spl154_232
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f10346,f3078,f2350,f1879,f1421]) ).

fof(f1421,plain,
    ( spl154_56
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_56])]) ).

fof(f10346,plain,
    ( e3 = e4
    | ~ sP58
    | ~ spl154_232
    | ~ spl154_368 ),
    inference(trivial_inequality_removal,[],[f10345]) ).

fof(f10345,plain,
    ( e2 != e2
    | e3 = e4
    | ~ sP58
    | ~ spl154_232
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f10344,f2351]) ).

fof(f10344,plain,
    ( e3 = e4
    | e2 != op(e1,e3)
    | ~ sP58
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f648,f3079]) ).

fof(f648,plain,
    ( e3 = op(e1,e2)
    | e2 != op(e1,e3)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,plain,
    ( ( e2 != unit
      & e3 = op(e1,e2) )
    | e2 != op(e1,e3)
    | ~ sP58 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ( e2 != unit
      & e3 = op(e1,e2) )
    | e2 != op(e1,e3)
    | ~ sP58 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f10343,plain,
    ( ~ spl154_232
    | ~ spl154_177
    | spl154_328 ),
    inference(avatar_split_clause,[],[f7295,f2858,f2055,f2350]) ).

fof(f7295,plain,
    ( e2 != op(e1,e3)
    | ~ spl154_177
    | spl154_328 ),
    inference(superposition,[],[f2860,f2057]) ).

fof(f2860,plain,
    ( op(e1,e3) != op(e3,e1)
    | spl154_328 ),
    inference(avatar_component_clause,[],[f2858]) ).

fof(f10342,plain,
    ( ~ spl154_466
    | spl154_310
    | ~ spl154_378 ),
    inference(avatar_split_clause,[],[f6956,f3123,f2762,f10339]) ).

fof(f10339,plain,
    ( spl154_466
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_466])]) ).

fof(f2762,plain,
    ( spl154_310
  <=> op(e4,e1) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_310])]) ).

fof(f6956,plain,
    ( e1 != op(e4,e1)
    | spl154_310
    | ~ spl154_378 ),
    inference(superposition,[],[f2764,f3125]) ).

fof(f2764,plain,
    ( op(e4,e1) != op(e4,e3)
    | spl154_310 ),
    inference(avatar_component_clause,[],[f2762]) ).

fof(f10336,plain,
    ( ~ spl154_384
    | spl154_330
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f6944,f3119,f2868,f3153]) ).

fof(f6944,plain,
    ( e3 != op(e1,e4)
    | spl154_330
    | ~ spl154_377 ),
    inference(superposition,[],[f2870,f3120]) ).

fof(f10334,plain,
    ( ~ spl154_359
    | spl154_248
    | ~ spl154_365 ),
    inference(avatar_split_clause,[],[f6808,f3064,f2432,f3036]) ).

fof(f2432,plain,
    ( spl154_248
  <=> op(e2,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_248])]) ).

fof(f6808,plain,
    ( e1 != op(e4,e4)
    | spl154_248
    | ~ spl154_365 ),
    inference(superposition,[],[f2434,f3066]) ).

fof(f2434,plain,
    ( op(e2,e4) != op(e4,e4)
    | spl154_248 ),
    inference(avatar_component_clause,[],[f2432]) ).

fof(f10332,plain,
    ( ~ spl154_368
    | spl154_326
    | ~ spl154_364 ),
    inference(avatar_split_clause,[],[f6671,f3060,f2848,f3078]) ).

fof(f6671,plain,
    ( e4 != op(e1,e2)
    | spl154_326
    | ~ spl154_364 ),
    inference(superposition,[],[f2850,f3061]) ).

fof(f2850,plain,
    ( op(e1,e2) != op(e2,e1)
    | spl154_326 ),
    inference(avatar_component_clause,[],[f2848]) ).

fof(f10326,plain,
    ( spl154_141
    | ~ spl154_232
    | ~ spl154_329
    | ~ spl154_407 ),
    inference(avatar_split_clause,[],[f10324,f3387,f2863,f2350,f1894]) ).

fof(f2863,plain,
    ( spl154_329
  <=> e1 = op(op(e1,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_329])]) ).

fof(f10324,plain,
    ( e1 = unit
    | ~ spl154_232
    | ~ spl154_329
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f10323,f3388]) ).

fof(f10323,plain,
    ( e1 = op(e2,e3)
    | ~ spl154_232
    | ~ spl154_329 ),
    inference(forward_demodulation,[],[f2865,f2351]) ).

fof(f2865,plain,
    ( e1 = op(op(e1,e3),e3)
    | ~ spl154_329 ),
    inference(avatar_component_clause,[],[f2863]) ).

fof(f10321,plain,
    ( spl154_141
    | ~ spl154_327
    | ~ spl154_368
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f10320,f3494,f3078,f2853,f1894]) ).

fof(f2853,plain,
    ( spl154_327
  <=> e1 = op(op(e1,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_327])]) ).

fof(f10320,plain,
    ( e1 = unit
    | ~ spl154_327
    | ~ spl154_368
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f10319,f3496]) ).

fof(f10319,plain,
    ( e1 = op(e4,e2)
    | ~ spl154_327
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f2855,f3079]) ).

fof(f2855,plain,
    ( e1 = op(op(e1,e2),e2)
    | ~ spl154_327 ),
    inference(avatar_component_clause,[],[f2853]) ).

fof(f10315,plain,
    ( spl154_465
    | ~ spl154_339
    | ~ spl154_405 ),
    inference(avatar_split_clause,[],[f10313,f3377,f2925,f10240]) ).

fof(f2925,plain,
    ( spl154_339
  <=> e3 = op(op(e3,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_339])]) ).

fof(f10313,plain,
    ( e3 = op(unit,e4)
    | ~ spl154_339
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f2927,f3378]) ).

fof(f2927,plain,
    ( e3 = op(op(e3,e4),e4)
    | ~ spl154_339 ),
    inference(avatar_component_clause,[],[f2925]) ).

fof(f10310,plain,
    ( spl154_141
    | ~ spl154_331
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(avatar_split_clause,[],[f10309,f3377,f3153,f2873,f1894]) ).

fof(f2873,plain,
    ( spl154_331
  <=> e1 = op(op(e1,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_331])]) ).

fof(f10309,plain,
    ( e1 = unit
    | ~ spl154_331
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f10308,f3378]) ).

fof(f10308,plain,
    ( e1 = op(e3,e4)
    | ~ spl154_331
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f2875,f3154]) ).

fof(f2875,plain,
    ( e1 = op(op(e1,e4),e4)
    | ~ spl154_331 ),
    inference(avatar_component_clause,[],[f2873]) ).

fof(f10303,plain,
    ( spl154_136
    | ~ spl154_148
    | ~ spl154_348
    | ~ spl154_407 ),
    inference(avatar_split_clause,[],[f10301,f3387,f2977,f1929,f1869]) ).

fof(f10301,plain,
    ( e2 = e3
    | ~ spl154_148
    | ~ spl154_348
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f10300,f1931]) ).

fof(f10300,plain,
    ( e2 = op(unit,e3)
    | ~ spl154_348
    | ~ spl154_407 ),
    inference(forward_demodulation,[],[f2979,f3388]) ).

fof(f2979,plain,
    ( e2 = op(op(e2,e3),e3)
    | ~ spl154_348 ),
    inference(avatar_component_clause,[],[f2977]) ).

fof(f10298,plain,
    ( spl154_385
    | ~ spl154_343
    | ~ spl154_378 ),
    inference(avatar_split_clause,[],[f10293,f3123,f2945,f3157]) ).

fof(f3157,plain,
    ( spl154_385
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_385])]) ).

fof(f2945,plain,
    ( spl154_343
  <=> e4 = op(op(e4,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_343])]) ).

fof(f10293,plain,
    ( e4 = op(e1,e3)
    | ~ spl154_343
    | ~ spl154_378 ),
    inference(forward_demodulation,[],[f2947,f3125]) ).

fof(f2947,plain,
    ( e4 = op(op(e4,e3),e3)
    | ~ spl154_343 ),
    inference(avatar_component_clause,[],[f2945]) ).

fof(f10291,plain,
    ( spl154_136
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f10286,f3153,f3064,f2900,f1869]) ).

fof(f10286,plain,
    ( e2 = e3
    | ~ spl154_335
    | ~ spl154_365
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f10285,f3154]) ).

fof(f10283,plain,
    ( spl154_136
    | ~ spl154_333
    | ~ spl154_364
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f10282,f3119,f3060,f2883,f1869]) ).

fof(f2883,plain,
    ( spl154_333
  <=> e2 = op(op(e2,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_333])]) ).

fof(f10282,plain,
    ( e2 = e3
    | ~ spl154_333
    | ~ spl154_364
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f10281,f3120]) ).

fof(f10281,plain,
    ( e2 = op(e4,e1)
    | ~ spl154_333
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f2885,f3061]) ).

fof(f2885,plain,
    ( e2 = op(op(e2,e1),e1)
    | ~ spl154_333 ),
    inference(avatar_component_clause,[],[f2883]) ).

fof(f10278,plain,
    ( spl154_283
    | ~ spl154_177
    | ~ spl154_337 ),
    inference(avatar_split_clause,[],[f10277,f2910,f2055,f2618]) ).

fof(f2618,plain,
    ( spl154_283
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_283])]) ).

fof(f2910,plain,
    ( spl154_337
  <=> e3 = op(op(e3,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_337])]) ).

fof(f10277,plain,
    ( e3 = op(e2,e1)
    | ~ spl154_177
    | ~ spl154_337 ),
    inference(forward_demodulation,[],[f2912,f2057]) ).

fof(f2912,plain,
    ( e3 = op(op(e3,e1),e1)
    | ~ spl154_337 ),
    inference(avatar_component_clause,[],[f2910]) ).

fof(f10273,plain,
    ( spl154_451
    | ~ spl154_342
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f10272,f3494,f2940,f8823]) ).

fof(f8823,plain,
    ( spl154_451
  <=> e4 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_451])]) ).

fof(f2940,plain,
    ( spl154_342
  <=> e4 = op(op(e4,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_342])]) ).

fof(f10272,plain,
    ( e4 = op(unit,e2)
    | ~ spl154_342
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f2942,f3496]) ).

fof(f2942,plain,
    ( e4 = op(op(e4,e2),e2)
    | ~ spl154_342 ),
    inference(avatar_component_clause,[],[f2940]) ).

fof(f10269,plain,
    ( ~ spl154_171
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(avatar_split_clause,[],[f10268,f1944,f1939,f1884,f2028]) ).

fof(f2028,plain,
    ( spl154_171
  <=> sP150 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_171])]) ).

fof(f10268,plain,
    ( ~ sP150
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(trivial_inequality_removal,[],[f10267]) ).

fof(f10267,plain,
    ( e4 != e4
    | ~ sP150
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_151 ),
    inference(forward_demodulation,[],[f10266,f1941]) ).

fof(f10266,plain,
    ( e4 != op(unit,e4)
    | ~ sP150
    | ~ spl154_139
    | ~ spl154_151 ),
    inference(forward_demodulation,[],[f10265,f1946]) ).

fof(f10265,plain,
    ( op(unit,e4) != op(e4,unit)
    | ~ sP150
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f328,f1885]) ).

fof(f328,plain,
    ( op(e0,e4) != op(e4,e0)
    | ~ sP150 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( ( e0 != op(op(e4,e0),e4)
      & e4 = op(op(e4,e0),e0)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP150 ),
    inference(nnf_transformation,[],[f160]) ).

fof(f160,plain,
    ( ( e0 != op(op(e4,e0),e4)
      & e4 = op(op(e4,e0),e0)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP150 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).

fof(f10264,plain,
    ( ~ spl154_167
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_149 ),
    inference(avatar_split_clause,[],[f10263,f1934,f1929,f1884,f2012]) ).

fof(f2012,plain,
    ( spl154_167
  <=> sP145 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_167])]) ).

fof(f10263,plain,
    ( ~ sP145
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_149 ),
    inference(trivial_inequality_removal,[],[f10262]) ).

fof(f10262,plain,
    ( e3 != e3
    | ~ sP145
    | ~ spl154_139
    | ~ spl154_148
    | ~ spl154_149 ),
    inference(forward_demodulation,[],[f10261,f1931]) ).

fof(f10261,plain,
    ( e3 != op(unit,e3)
    | ~ sP145
    | ~ spl154_139
    | ~ spl154_149 ),
    inference(forward_demodulation,[],[f10260,f1936]) ).

fof(f10260,plain,
    ( op(unit,e3) != op(e3,unit)
    | ~ sP145
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f343,f1885]) ).

fof(f343,plain,
    ( op(e0,e3) != op(e3,e0)
    | ~ sP145 ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ( ( e0 != op(op(e3,e0),e3)
      & e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP145 ),
    inference(nnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e0 != op(op(e3,e0),e3)
      & e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP145 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])]) ).

fof(f10259,plain,
    ( ~ spl154_163
    | ~ spl154_139
    | ~ spl154_146
    | ~ spl154_147 ),
    inference(avatar_split_clause,[],[f10256,f1924,f1919,f1884,f1996]) ).

fof(f10256,plain,
    ( ~ sP140
    | ~ spl154_139
    | ~ spl154_146
    | ~ spl154_147 ),
    inference(trivial_inequality_removal,[],[f10255]) ).

fof(f10255,plain,
    ( e2 != e2
    | ~ sP140
    | ~ spl154_139
    | ~ spl154_146
    | ~ spl154_147 ),
    inference(forward_demodulation,[],[f10254,f1921]) ).

fof(f10254,plain,
    ( e2 != op(unit,e2)
    | ~ sP140
    | ~ spl154_139
    | ~ spl154_147 ),
    inference(forward_demodulation,[],[f10253,f1926]) ).

fof(f10253,plain,
    ( op(unit,e2) != op(e2,unit)
    | ~ sP140
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f358,f1885]) ).

fof(f10252,plain,
    ( ~ spl154_146
    | ~ spl154_139
    | ~ spl154_147
    | spl154_320 ),
    inference(avatar_split_clause,[],[f6465,f2812,f1924,f1884,f1919]) ).

fof(f6465,plain,
    ( e2 != op(unit,e2)
    | ~ spl154_139
    | ~ spl154_147
    | spl154_320 ),
    inference(forward_demodulation,[],[f6390,f1926]) ).

fof(f6390,plain,
    ( op(unit,e2) != op(e2,unit)
    | ~ spl154_139
    | spl154_320 ),
    inference(superposition,[],[f2814,f1885]) ).

fof(f2814,plain,
    ( op(e0,e2) != op(e2,e0)
    | spl154_320 ),
    inference(avatar_component_clause,[],[f2812]) ).

fof(f10250,plain,
    ( ~ spl154_433
    | ~ spl154_139
    | ~ spl154_143
    | spl154_250 ),
    inference(avatar_split_clause,[],[f6446,f2442,f1904,f1884,f6254]) ).

fof(f2442,plain,
    ( spl154_250
  <=> op(e0,e0) = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_250])]) ).

fof(f6446,plain,
    ( unit != op(unit,e1)
    | ~ spl154_139
    | ~ spl154_143
    | spl154_250 ),
    inference(forward_demodulation,[],[f6374,f3239]) ).

fof(f3239,plain,
    ( unit = op(unit,unit)
    | ~ spl154_139
    | ~ spl154_143 ),
    inference(superposition,[],[f1906,f1885]) ).

fof(f6374,plain,
    ( op(unit,e1) != op(unit,unit)
    | ~ spl154_139
    | spl154_250 ),
    inference(superposition,[],[f2444,f1885]) ).

fof(f2444,plain,
    ( op(e0,e0) != op(e0,e1)
    | spl154_250 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f10248,plain,
    ( ~ spl154_429
    | ~ spl154_139
    | ~ spl154_143
    | spl154_185 ),
    inference(avatar_split_clause,[],[f6430,f2098,f1904,f1884,f4966]) ).

fof(f2098,plain,
    ( spl154_185
  <=> op(e0,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_185])]) ).

fof(f6430,plain,
    ( unit != op(e4,unit)
    | ~ spl154_139
    | ~ spl154_143
    | spl154_185 ),
    inference(forward_demodulation,[],[f6360,f3239]) ).

fof(f6360,plain,
    ( op(e4,unit) != op(unit,unit)
    | ~ spl154_139
    | spl154_185 ),
    inference(superposition,[],[f2100,f1885]) ).

fof(f2100,plain,
    ( op(e0,e0) != op(e4,e0)
    | spl154_185 ),
    inference(avatar_component_clause,[],[f2098]) ).

fof(f10246,plain,
    ( ~ spl154_412
    | ~ spl154_139
    | spl154_435 ),
    inference(avatar_split_clause,[],[f6506,f6502,f1884,f3414]) ).

fof(f6506,plain,
    ( unit != op(unit,unit)
    | ~ spl154_139
    | spl154_435 ),
    inference(forward_demodulation,[],[f6504,f1885]) ).

fof(f6504,plain,
    ( unit != op(e0,unit)
    | spl154_435 ),
    inference(avatar_component_clause,[],[f6502]) ).

fof(f10244,plain,
    ( ~ spl154_412
    | ~ spl154_139
    | spl154_427 ),
    inference(avatar_split_clause,[],[f6426,f4953,f1884,f3414]) ).

fof(f6426,plain,
    ( unit != op(unit,unit)
    | ~ spl154_139
    | spl154_427 ),
    inference(superposition,[],[f4955,f1885]) ).

fof(f4955,plain,
    ( op(e0,e0) != unit
    | spl154_427 ),
    inference(avatar_component_clause,[],[f4953]) ).

fof(f10243,plain,
    ( ~ spl154_465
    | ~ spl154_139
    | spl154_387 ),
    inference(avatar_split_clause,[],[f6414,f3167,f1884,f10240]) ).

fof(f6414,plain,
    ( e3 != op(unit,e4)
    | ~ spl154_139
    | spl154_387 ),
    inference(superposition,[],[f3169,f1885]) ).

fof(f3169,plain,
    ( e3 != op(e0,e4)
    | spl154_387 ),
    inference(avatar_component_clause,[],[f3167]) ).

fof(f10238,plain,
    ( ~ spl154_464
    | ~ spl154_139
    | spl154_374 ),
    inference(avatar_split_clause,[],[f6408,f3105,f1884,f10235]) ).

fof(f10235,plain,
    ( spl154_464
  <=> e1 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_464])]) ).

fof(f6408,plain,
    ( e1 != op(unit,e4)
    | ~ spl154_139
    | spl154_374 ),
    inference(superposition,[],[f3106,f1885]) ).

fof(f3106,plain,
    ( e1 != op(e0,e4)
    | spl154_374 ),
    inference(avatar_component_clause,[],[f3105]) ).

fof(f10232,plain,
    ( ~ spl154_144
    | ~ spl154_139
    | spl154_318 ),
    inference(avatar_split_clause,[],[f6388,f2802,f1884,f1909]) ).

fof(f6388,plain,
    ( e1 != op(unit,e1)
    | ~ spl154_139
    | spl154_318 ),
    inference(superposition,[],[f2804,f1885]) ).

fof(f2804,plain,
    ( e1 != op(e0,e1)
    | spl154_318 ),
    inference(avatar_component_clause,[],[f2802]) ).

fof(f10230,plain,
    ( ~ spl154_432
    | ~ spl154_139
    | spl154_187 ),
    inference(avatar_split_clause,[],[f6362,f2109,f1884,f5836]) ).

fof(f6362,plain,
    ( e1 != op(e2,unit)
    | ~ spl154_139
    | spl154_187 ),
    inference(superposition,[],[f2111,f1885]) ).

fof(f2111,plain,
    ( e1 != op(e2,e0)
    | spl154_187 ),
    inference(avatar_component_clause,[],[f2109]) ).

fof(f10227,plain,
    ( ~ spl154_145
    | ~ spl154_139
    | ~ spl154_145
    | spl154_344 ),
    inference(avatar_split_clause,[],[f3349,f2950,f1914,f1884,f1914]) ).

fof(f2950,plain,
    ( spl154_344
  <=> e1 = op(op(e1,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_344])]) ).

fof(f3349,plain,
    ( e1 != op(e1,unit)
    | ~ spl154_139
    | ~ spl154_145
    | spl154_344 ),
    inference(forward_demodulation,[],[f3284,f1916]) ).

fof(f3284,plain,
    ( e1 != op(op(e1,unit),unit)
    | ~ spl154_139
    | spl154_344 ),
    inference(superposition,[],[f2951,f1885]) ).

fof(f2951,plain,
    ( e1 != op(op(e1,e0),e0)
    | spl154_344 ),
    inference(avatar_component_clause,[],[f2950]) ).

fof(f10209,plain,
    ( ~ spl154_145
    | ~ spl154_139
    | spl154_175 ),
    inference(avatar_split_clause,[],[f7869,f2045,f1884,f1914]) ).

fof(f7869,plain,
    ( e1 != op(e1,unit)
    | ~ spl154_139
    | spl154_175 ),
    inference(forward_demodulation,[],[f2046,f1885]) ).

fof(f2046,plain,
    ( e1 != op(e1,e0)
    | spl154_175 ),
    inference(avatar_component_clause,[],[f2045]) ).

fof(f10206,plain,
    ( ~ spl154_145
    | ~ spl154_139
    | ~ spl154_144
    | spl154_349 ),
    inference(avatar_split_clause,[],[f3351,f2982,f1909,f1884,f1914]) ).

fof(f2982,plain,
    ( spl154_349
  <=> e1 = op(op(e0,e1),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_349])]) ).

fof(f3351,plain,
    ( e1 != op(e1,unit)
    | ~ spl154_139
    | ~ spl154_144
    | spl154_349 ),
    inference(forward_demodulation,[],[f3286,f1911]) ).

fof(f3286,plain,
    ( e1 != op(op(unit,e1),unit)
    | ~ spl154_139
    | spl154_349 ),
    inference(superposition,[],[f2984,f1885]) ).

fof(f2984,plain,
    ( e1 != op(op(e0,e1),e0)
    | spl154_349 ),
    inference(avatar_component_clause,[],[f2982]) ).

fof(f10203,plain,
    ( ~ spl154_151
    | ~ spl154_139
    | ~ spl154_151
    | spl154_340 ),
    inference(avatar_split_clause,[],[f3348,f2930,f1944,f1884,f1944]) ).

fof(f3348,plain,
    ( e4 != op(e4,unit)
    | ~ spl154_139
    | ~ spl154_151
    | spl154_340 ),
    inference(forward_demodulation,[],[f3283,f1946]) ).

fof(f3283,plain,
    ( e4 != op(op(e4,unit),unit)
    | ~ spl154_139
    | spl154_340 ),
    inference(superposition,[],[f2931,f1885]) ).

fof(f2931,plain,
    ( e4 != op(op(e4,e0),e0)
    | spl154_340 ),
    inference(avatar_component_clause,[],[f2930]) ).

fof(f10200,plain,
    ( ~ spl154_149
    | ~ spl154_139
    | ~ spl154_149
    | spl154_336 ),
    inference(avatar_split_clause,[],[f3347,f2905,f1934,f1884,f1934]) ).

fof(f3347,plain,
    ( e3 != op(e3,unit)
    | ~ spl154_139
    | ~ spl154_149
    | spl154_336 ),
    inference(forward_demodulation,[],[f3282,f1936]) ).

fof(f3282,plain,
    ( e3 != op(op(e3,unit),unit)
    | ~ spl154_139
    | spl154_336 ),
    inference(superposition,[],[f2906,f1885]) ).

fof(f2906,plain,
    ( e3 != op(op(e3,e0),e0)
    | spl154_336 ),
    inference(avatar_component_clause,[],[f2905]) ).

fof(f10198,plain,
    ( ~ spl154_454
    | ~ spl154_139
    | ~ spl154_150
    | spl154_325 ),
    inference(avatar_split_clause,[],[f3345,f2837,f1939,f1884,f9389]) ).

fof(f2837,plain,
    ( spl154_325
  <=> e0 = op(op(e0,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_325])]) ).

fof(f3345,plain,
    ( op(e4,e4) != unit
    | ~ spl154_139
    | ~ spl154_150
    | spl154_325 ),
    inference(forward_demodulation,[],[f3280,f1941]) ).

fof(f3280,plain,
    ( unit != op(op(unit,e4),e4)
    | ~ spl154_139
    | spl154_325 ),
    inference(superposition,[],[f2838,f1885]) ).

fof(f2838,plain,
    ( e0 != op(op(e0,e4),e4)
    | spl154_325 ),
    inference(avatar_component_clause,[],[f2837]) ).

fof(f10195,plain,
    ( ~ spl154_150
    | ~ spl154_139
    | ~ spl154_151
    | spl154_324 ),
    inference(avatar_split_clause,[],[f3344,f2832,f1944,f1884,f1939]) ).

fof(f3344,plain,
    ( e4 != op(unit,e4)
    | ~ spl154_139
    | ~ spl154_151
    | spl154_324 ),
    inference(forward_demodulation,[],[f3279,f1946]) ).

fof(f3279,plain,
    ( op(unit,e4) != op(e4,unit)
    | ~ spl154_139
    | spl154_324 ),
    inference(superposition,[],[f2834,f1885]) ).

fof(f2834,plain,
    ( op(e0,e4) != op(e4,e0)
    | spl154_324 ),
    inference(avatar_component_clause,[],[f2832]) ).

fof(f10193,plain,
    ( ~ spl154_441
    | ~ spl154_139
    | ~ spl154_148
    | spl154_323 ),
    inference(avatar_split_clause,[],[f3343,f2827,f1929,f1884,f7083]) ).

fof(f2827,plain,
    ( spl154_323
  <=> e0 = op(op(e0,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_323])]) ).

fof(f3343,plain,
    ( op(e3,e3) != unit
    | ~ spl154_139
    | ~ spl154_148
    | spl154_323 ),
    inference(forward_demodulation,[],[f3278,f1931]) ).

fof(f3278,plain,
    ( unit != op(op(unit,e3),e3)
    | ~ spl154_139
    | spl154_323 ),
    inference(superposition,[],[f2828,f1885]) ).

fof(f2828,plain,
    ( e0 != op(op(e0,e3),e3)
    | spl154_323 ),
    inference(avatar_component_clause,[],[f2827]) ).

fof(f10190,plain,
    ( ~ spl154_148
    | ~ spl154_139
    | ~ spl154_149
    | spl154_322 ),
    inference(avatar_split_clause,[],[f3342,f2822,f1934,f1884,f1929]) ).

fof(f2822,plain,
    ( spl154_322
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_322])]) ).

fof(f3342,plain,
    ( e3 != op(unit,e3)
    | ~ spl154_139
    | ~ spl154_149
    | spl154_322 ),
    inference(forward_demodulation,[],[f3277,f1936]) ).

fof(f3277,plain,
    ( op(unit,e3) != op(e3,unit)
    | ~ spl154_139
    | spl154_322 ),
    inference(superposition,[],[f2824,f1885]) ).

fof(f2824,plain,
    ( op(e0,e3) != op(e3,e0)
    | spl154_322 ),
    inference(avatar_component_clause,[],[f2822]) ).

fof(f10187,plain,
    ( spl154_463
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_319 ),
    inference(avatar_split_clause,[],[f3339,f2807,f1909,f1884,f10184]) ).

fof(f3339,plain,
    ( op(e1,e1) = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_319 ),
    inference(forward_demodulation,[],[f3274,f1911]) ).

fof(f3274,plain,
    ( unit = op(op(unit,e1),e1)
    | ~ spl154_139
    | ~ spl154_319 ),
    inference(superposition,[],[f2809,f1885]) ).

fof(f2809,plain,
    ( e0 = op(op(e0,e1),e1)
    | ~ spl154_319 ),
    inference(avatar_component_clause,[],[f2807]) ).

fof(f10176,plain,
    ( ~ spl154_144
    | ~ spl154_139
    | ~ spl154_145
    | spl154_317 ),
    inference(avatar_split_clause,[],[f3338,f2796,f1914,f1884,f1909]) ).

fof(f3338,plain,
    ( e1 != op(unit,e1)
    | ~ spl154_139
    | ~ spl154_145
    | spl154_317 ),
    inference(forward_demodulation,[],[f3272,f1916]) ).

fof(f3272,plain,
    ( op(unit,e1) != op(e1,unit)
    | ~ spl154_139
    | spl154_317 ),
    inference(superposition,[],[f2798,f1885]) ).

fof(f10174,plain,
    ( ~ spl154_451
    | ~ spl154_139
    | ~ spl154_150
    | spl154_258 ),
    inference(avatar_split_clause,[],[f3335,f2482,f1939,f1884,f8823]) ).

fof(f2482,plain,
    ( spl154_258
  <=> op(e0,e2) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_258])]) ).

fof(f3335,plain,
    ( e4 != op(unit,e2)
    | ~ spl154_139
    | ~ spl154_150
    | spl154_258 ),
    inference(forward_demodulation,[],[f3267,f1941]) ).

fof(f3267,plain,
    ( op(unit,e2) != op(unit,e4)
    | ~ spl154_139
    | spl154_258 ),
    inference(superposition,[],[f2484,f1885]) ).

fof(f2484,plain,
    ( op(e0,e2) != op(e0,e4)
    | spl154_258 ),
    inference(avatar_component_clause,[],[f2482]) ).

fof(f10173,plain,
    ( ~ spl154_462
    | ~ spl154_139
    | ~ spl154_148
    | spl154_257 ),
    inference(avatar_split_clause,[],[f3334,f2477,f1929,f1884,f10170]) ).

fof(f10170,plain,
    ( spl154_462
  <=> e3 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_462])]) ).

fof(f2477,plain,
    ( spl154_257
  <=> op(e0,e2) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_257])]) ).

fof(f3334,plain,
    ( e3 != op(unit,e2)
    | ~ spl154_139
    | ~ spl154_148
    | spl154_257 ),
    inference(forward_demodulation,[],[f3266,f1931]) ).

fof(f3266,plain,
    ( op(unit,e2) != op(unit,e3)
    | ~ spl154_139
    | spl154_257 ),
    inference(superposition,[],[f2479,f1885]) ).

fof(f2479,plain,
    ( op(e0,e2) != op(e0,e3)
    | spl154_257 ),
    inference(avatar_component_clause,[],[f2477]) ).

fof(f10167,plain,
    ( ~ spl154_438
    | ~ spl154_139
    | ~ spl154_142
    | spl154_251 ),
    inference(avatar_split_clause,[],[f3325,f2447,f1899,f1884,f6533]) ).

fof(f2447,plain,
    ( spl154_251
  <=> op(e0,e0) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_251])]) ).

fof(f3325,plain,
    ( unit != op(unit,e2)
    | ~ spl154_139
    | ~ spl154_142
    | spl154_251 ),
    inference(forward_demodulation,[],[f3260,f3238]) ).

fof(f3260,plain,
    ( op(unit,e2) != op(unit,unit)
    | ~ spl154_139
    | spl154_251 ),
    inference(superposition,[],[f2449,f1885]) ).

fof(f2449,plain,
    ( op(e0,e0) != op(e0,e2)
    | spl154_251 ),
    inference(avatar_component_clause,[],[f2447]) ).

fof(f10166,plain,
    ( ~ spl154_461
    | ~ spl154_139
    | ~ spl154_151
    | spl154_193 ),
    inference(avatar_split_clause,[],[f3320,f2141,f1944,f1884,f10163]) ).

fof(f10163,plain,
    ( spl154_461
  <=> e4 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_461])]) ).

fof(f2141,plain,
    ( spl154_193
  <=> op(e2,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_193])]) ).

fof(f3320,plain,
    ( e4 != op(e2,unit)
    | ~ spl154_139
    | ~ spl154_151
    | spl154_193 ),
    inference(forward_demodulation,[],[f3253,f1946]) ).

fof(f3253,plain,
    ( op(e2,unit) != op(e4,unit)
    | ~ spl154_139
    | spl154_193 ),
    inference(superposition,[],[f2143,f1885]) ).

fof(f2143,plain,
    ( op(e2,e0) != op(e4,e0)
    | spl154_193 ),
    inference(avatar_component_clause,[],[f2141]) ).

fof(f10161,plain,
    ( ~ spl154_460
    | ~ spl154_139
    | ~ spl154_149
    | spl154_192 ),
    inference(avatar_split_clause,[],[f3319,f2136,f1934,f1884,f10158]) ).

fof(f10158,plain,
    ( spl154_460
  <=> e3 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_460])]) ).

fof(f2136,plain,
    ( spl154_192
  <=> op(e2,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_192])]) ).

fof(f3319,plain,
    ( e3 != op(e2,unit)
    | ~ spl154_139
    | ~ spl154_149
    | spl154_192 ),
    inference(forward_demodulation,[],[f3252,f1936]) ).

fof(f3252,plain,
    ( op(e2,unit) != op(e3,unit)
    | ~ spl154_139
    | spl154_192 ),
    inference(superposition,[],[f2138,f1885]) ).

fof(f2138,plain,
    ( op(e2,e0) != op(e3,e0)
    | spl154_192 ),
    inference(avatar_component_clause,[],[f2136]) ).

fof(f10155,plain,
    ( ~ spl154_452
    | ~ spl154_139
    | ~ spl154_142
    | spl154_184 ),
    inference(avatar_split_clause,[],[f3311,f2093,f1899,f1884,f9121]) ).

fof(f2093,plain,
    ( spl154_184
  <=> op(e0,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_184])]) ).

fof(f3311,plain,
    ( unit != op(e3,unit)
    | ~ spl154_139
    | ~ spl154_142
    | spl154_184 ),
    inference(forward_demodulation,[],[f3244,f3238]) ).

fof(f3244,plain,
    ( op(e3,unit) != op(unit,unit)
    | ~ spl154_139
    | spl154_184 ),
    inference(superposition,[],[f2095,f1885]) ).

fof(f2095,plain,
    ( op(e0,e0) != op(e3,e0)
    | spl154_184 ),
    inference(avatar_component_clause,[],[f2093]) ).

fof(f10153,plain,
    ( ~ spl154_450
    | ~ spl154_139
    | ~ spl154_142
    | spl154_183 ),
    inference(avatar_split_clause,[],[f3310,f2088,f1899,f1884,f8814]) ).

fof(f2088,plain,
    ( spl154_183
  <=> op(e0,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_183])]) ).

fof(f3310,plain,
    ( unit != op(e2,unit)
    | ~ spl154_139
    | ~ spl154_142
    | spl154_183 ),
    inference(forward_demodulation,[],[f3243,f3238]) ).

fof(f3243,plain,
    ( op(e2,unit) != op(unit,unit)
    | ~ spl154_139
    | spl154_183 ),
    inference(superposition,[],[f2090,f1885]) ).

fof(f2090,plain,
    ( op(e0,e0) != op(e2,e0)
    | spl154_183 ),
    inference(avatar_component_clause,[],[f2088]) ).

fof(f10152,plain,
    ( ~ spl154_459
    | ~ spl154_139
    | ~ spl154_142
    | spl154_181 ),
    inference(avatar_split_clause,[],[f3308,f2077,f1899,f1884,f10149]) ).

fof(f2077,plain,
    ( spl154_181
  <=> op(e0,e0) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_181])]) ).

fof(f3308,plain,
    ( unit != op(e1,unit)
    | ~ spl154_139
    | ~ spl154_142
    | spl154_181 ),
    inference(forward_demodulation,[],[f3241,f3238]) ).

fof(f3241,plain,
    ( op(e1,unit) != op(unit,unit)
    | ~ spl154_139
    | spl154_181 ),
    inference(superposition,[],[f2079,f1885]) ).

fof(f2079,plain,
    ( op(e0,e0) != op(e1,e0)
    | spl154_181 ),
    inference(avatar_component_clause,[],[f2077]) ).

fof(f10146,plain,
    ( ~ spl154_458
    | ~ spl154_139
    | spl154_397 ),
    inference(avatar_split_clause,[],[f3306,f3213,f1884,f10143]) ).

fof(f10143,plain,
    ( spl154_458
  <=> e2 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_458])]) ).

fof(f3306,plain,
    ( e2 != op(unit,unit)
    | ~ spl154_139
    | spl154_397 ),
    inference(superposition,[],[f3215,f1885]) ).

fof(f3215,plain,
    ( op(e0,e0) != e2
    | spl154_397 ),
    inference(avatar_component_clause,[],[f3213]) ).

fof(f10141,plain,
    ( ~ spl154_457
    | ~ spl154_139
    | spl154_213 ),
    inference(avatar_split_clause,[],[f3257,f2247,f1884,f10138]) ).

fof(f10138,plain,
    ( spl154_457
  <=> e1 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_457])]) ).

fof(f2247,plain,
    ( spl154_213
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_213])]) ).

fof(f3257,plain,
    ( e1 != op(unit,e2)
    | ~ spl154_139
    | spl154_213 ),
    inference(superposition,[],[f2249,f1885]) ).

fof(f2249,plain,
    ( e1 != op(e0,e2)
    | spl154_213 ),
    inference(avatar_component_clause,[],[f2247]) ).

fof(f10136,plain,
    ( ~ spl154_456
    | ~ spl154_139
    | spl154_189 ),
    inference(avatar_split_clause,[],[f3249,f2120,f1884,f10133]) ).

fof(f10133,plain,
    ( spl154_456
  <=> e1 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_456])]) ).

fof(f2120,plain,
    ( spl154_189
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_189])]) ).

fof(f3249,plain,
    ( e1 != op(e3,unit)
    | ~ spl154_139
    | spl154_189 ),
    inference(superposition,[],[f2122,f1885]) ).

fof(f2122,plain,
    ( e1 != op(e3,e0)
    | spl154_189 ),
    inference(avatar_component_clause,[],[f2120]) ).

fof(f10130,plain,
    ( ~ spl154_412
    | ~ spl154_139
    | spl154_436 ),
    inference(avatar_split_clause,[],[f6512,f6508,f1884,f3414]) ).

fof(f6512,plain,
    ( unit != op(unit,unit)
    | ~ spl154_139
    | spl154_436 ),
    inference(forward_demodulation,[],[f6510,f1885]) ).

fof(f6510,plain,
    ( unit != op(unit,e0)
    | spl154_436 ),
    inference(avatar_component_clause,[],[f6508]) ).

fof(f10129,plain,
    ( spl154_412
    | ~ spl154_139
    | ~ spl154_143 ),
    inference(avatar_split_clause,[],[f3239,f1904,f1884,f3414]) ).

fof(f10127,plain,
    ( ~ spl154_420
    | spl154_298
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f3006,f2998,f2700,f3728]) ).

fof(f2700,plain,
    ( spl154_298
  <=> op(e3,e1) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_298])]) ).

fof(f3006,plain,
    ( e4 != op(e3,e1)
    | spl154_298
    | ~ spl154_352 ),
    inference(superposition,[],[f2702,f3000]) ).

fof(f2702,plain,
    ( op(e3,e1) != op(e3,e3)
    | spl154_298 ),
    inference(avatar_component_clause,[],[f2700]) ).

fof(f10124,plain,
    ( ~ spl154_400
    | spl154_294
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f3005,f2998,f2679,f3226]) ).

fof(f3226,plain,
    ( spl154_400
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_400])]) ).

fof(f2679,plain,
    ( spl154_294
  <=> op(e3,e0) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_294])]) ).

fof(f3005,plain,
    ( e4 != op(e3,e0)
    | spl154_294
    | ~ spl154_352 ),
    inference(superposition,[],[f2681,f3000]) ).

fof(f2681,plain,
    ( op(e3,e0) != op(e3,e3)
    | spl154_294 ),
    inference(avatar_component_clause,[],[f2679]) ).

fof(f10122,plain,
    ( ~ spl154_385
    | spl154_233
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f3003,f2998,f2355,f3157]) ).

fof(f2355,plain,
    ( spl154_233
  <=> op(e1,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_233])]) ).

fof(f3003,plain,
    ( e4 != op(e1,e3)
    | spl154_233
    | ~ spl154_352 ),
    inference(superposition,[],[f2357,f3000]) ).

fof(f2357,plain,
    ( op(e1,e3) != op(e3,e3)
    | spl154_233 ),
    inference(avatar_component_clause,[],[f2355]) ).

fof(f10119,plain,
    ( ~ spl154_388
    | spl154_229
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f3002,f2998,f2334,f3171]) ).

fof(f3171,plain,
    ( spl154_388
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_388])]) ).

fof(f2334,plain,
    ( spl154_229
  <=> op(e0,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_229])]) ).

fof(f3002,plain,
    ( e4 != op(e0,e3)
    | spl154_229
    | ~ spl154_352 ),
    inference(superposition,[],[f2336,f3000]) ).

fof(f2336,plain,
    ( op(e0,e3) != op(e3,e3)
    | spl154_229 ),
    inference(avatar_component_clause,[],[f2334]) ).

fof(f10082,plain,
    ( spl154_137
    | ~ spl154_357
    | ~ spl154_449 ),
    inference(avatar_split_clause,[],[f10080,f8361,f3027,f1874]) ).

fof(f10080,plain,
    ( e2 = e4
    | ~ spl154_357
    | ~ spl154_449 ),
    inference(forward_demodulation,[],[f3029,f8363]) ).

fof(f10041,plain,
    ( spl154_357
    | spl154_136
    | spl154_316
    | spl154_133
    | spl154_137
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_365
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(avatar_split_clause,[],[f9982,f3377,f3153,f3064,f1939,f1884,f1874,f1854,f2791,f1869,f3027]) ).

fof(f9982,plain,
    ( e2 = e4
    | e1 = e2
    | e2 = unit
    | e2 = e3
    | e2 = op(e4,e4)
    | ~ spl154_139
    | ~ spl154_150
    | ~ spl154_365
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f9981,f1941]) ).

fof(f9981,plain,
    ( e2 = op(unit,e4)
    | e1 = e2
    | e2 = unit
    | e2 = e3
    | e2 = op(e4,e4)
    | ~ spl154_139
    | ~ spl154_365
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f9980,f1885]) ).

fof(f9980,plain,
    ( e1 = e2
    | e2 = unit
    | e2 = e3
    | e2 = op(e4,e4)
    | e2 = op(e0,e4)
    | ~ spl154_365
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f9979,f3066]) ).

fof(f9979,plain,
    ( e2 = unit
    | e2 = e3
    | e2 = op(e4,e4)
    | e2 = op(e2,e4)
    | e2 = op(e0,e4)
    | ~ spl154_384
    | ~ spl154_405 ),
    inference(forward_demodulation,[],[f8982,f3378]) ).

fof(f8982,plain,
    ( e2 = e3
    | e2 = op(e4,e4)
    | e2 = op(e3,e4)
    | e2 = op(e2,e4)
    | e2 = op(e0,e4)
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f940,f3154]) ).

fof(f10039,plain,
    ( ~ spl154_139
    | spl154_399
    | ~ spl154_405 ),
    inference(avatar_split_clause,[],[f9968,f3377,f3222,f1884]) ).

fof(f9968,plain,
    ( e0 != unit
    | spl154_399
    | ~ spl154_405 ),
    inference(superposition,[],[f3224,f3378]) ).

fof(f3224,plain,
    ( e0 != op(e3,e4)
    | spl154_399 ),
    inference(avatar_component_clause,[],[f3222]) ).

fof(f10027,plain,
    ( ~ spl154_127
    | ~ spl154_355
    | spl154_354 ),
    inference(avatar_split_clause,[],[f566,f3014,f3018,f1823]) ).

fof(f1823,plain,
    ( spl154_127
  <=> sP99 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_127])]) ).

fof(f3014,plain,
    ( spl154_354
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_354])]) ).

fof(f566,plain,
    ( e4 = op(e4,e3)
    | e3 != op(e4,e4)
    | ~ sP99 ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ( ( e3 != unit
      & e4 = op(e4,e3) )
    | e3 != op(e4,e4)
    | ~ sP99 ),
    inference(nnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e3 != unit
      & e4 = op(e4,e3) )
    | e3 != op(e4,e4)
    | ~ sP99 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).

fof(f10026,plain,
    ( ~ spl154_178
    | ~ spl154_238
    | spl154_140
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f9595,f3203,f1884,f1889,f2382,f2061]) ).

fof(f2061,plain,
    ( spl154_178
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_178])]) ).

fof(f9595,plain,
    ( e3 = unit
    | e2 != op(e4,e3)
    | ~ sP73
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f618,f9507]) ).

fof(f9507,plain,
    ( op(e4,e2) = unit
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3205,f1885]) ).

fof(f618,plain,
    ( e3 = op(e4,e2)
    | e2 != op(e4,e3)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ( ( e2 != unit
      & e3 = op(e4,e2) )
    | e2 != op(e4,e3)
    | ~ sP73 ),
    inference(nnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e2 != unit
      & e3 = op(e4,e2) )
    | e2 != op(e4,e3)
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f9971,plain,
    ( spl154_378
    | spl154_133
    | spl154_141
    | spl154_134
    | spl154_135
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_357
    | ~ spl154_377
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f9782,f3494,f3119,f3027,f1944,f1884,f1864,f1859,f1894,f1854,f3123]) ).

fof(f9782,plain,
    ( e1 = e4
    | e1 = e3
    | e1 = unit
    | e1 = e2
    | e1 = op(e4,e3)
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_357
    | ~ spl154_377
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f9781,f1946]) ).

fof(f9781,plain,
    ( e1 = op(e4,unit)
    | e1 = e3
    | e1 = unit
    | e1 = e2
    | e1 = op(e4,e3)
    | ~ spl154_139
    | ~ spl154_357
    | ~ spl154_377
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f9780,f1885]) ).

fof(f9780,plain,
    ( e1 = e3
    | e1 = unit
    | e1 = e2
    | e1 = op(e4,e3)
    | e1 = op(e4,e0)
    | ~ spl154_357
    | ~ spl154_377
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f9779,f3120]) ).

fof(f9779,plain,
    ( e1 = unit
    | e1 = e2
    | e1 = op(e4,e3)
    | e1 = op(e4,e1)
    | e1 = op(e4,e0)
    | ~ spl154_357
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f9626,f3496]) ).

fof(f9626,plain,
    ( e1 = e2
    | e1 = op(e4,e3)
    | e1 = op(e4,e2)
    | e1 = op(e4,e1)
    | e1 = op(e4,e0)
    | ~ spl154_357 ),
    inference(forward_demodulation,[],[f937,f3029]) ).

fof(f937,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e4,e3)
    | e1 = op(e4,e2)
    | e1 = op(e4,e1)
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f9941,plain,
    ( spl154_442
    | spl154_140
    | spl154_316
    | spl154_315
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_455 ),
    inference(avatar_split_clause,[],[f9527,f9406,f2998,f2055,f1934,f1884,f2787,f2791,f1889,f7326]) ).

fof(f9527,plain,
    ( e4 = unit
    | e2 = unit
    | e3 = unit
    | op(e3,e2) = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_455 ),
    inference(duplicate_literal_removal,[],[f9526]) ).

fof(f9526,plain,
    ( e4 = unit
    | e2 = unit
    | e3 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_455 ),
    inference(forward_demodulation,[],[f7150,f9408]) ).

fof(f9934,plain,
    ( spl154_316
    | spl154_136
    | spl154_133
    | spl154_137
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_264
    | ~ spl154_368
    | ~ spl154_384 ),
    inference(avatar_split_clause,[],[f9921,f3153,f3078,f2516,f1914,f1884,f1874,f1854,f1869,f2791]) ).

fof(f9921,plain,
    ( e2 = e4
    | e1 = e2
    | e2 = e3
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_264
    | ~ spl154_368
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9031,f3079]) ).

fof(f9031,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_264
    | ~ spl154_384 ),
    inference(duplicate_literal_removal,[],[f9030]) ).

fof(f9030,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_264
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9029,f1916]) ).

fof(f9029,plain,
    ( e2 = op(e1,unit)
    | e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | ~ spl154_139
    | ~ spl154_264
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9028,f1885]) ).

fof(f9028,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_264
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f9027,f2517]) ).

fof(f2517,plain,
    ( e1 = op(e1,e3)
    | ~ spl154_264 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f9027,plain,
    ( e2 = e3
    | e2 = unit
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_384 ),
    inference(forward_demodulation,[],[f6619,f3154]) ).

fof(f6619,plain,
    ( e2 = unit
    | e2 = op(e1,e4)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1118,f1885]) ).

fof(f1118,plain,
    ( e0 = e2
    | e2 = op(e1,e4)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0) ),
    inference(forward_demodulation,[],[f909,f1102]) ).

fof(f909,plain,
    ( e2 = op(e1,e4)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f9916,plain,
    ( spl154_316
    | spl154_136
    | spl154_133
    | spl154_137
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(avatar_split_clause,[],[f9887,f3157,f3153,f3078,f1914,f1884,f1874,f1854,f1869,f2791]) ).

fof(f9887,plain,
    ( e2 = e4
    | e1 = e2
    | e2 = e3
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(duplicate_literal_removal,[],[f9886]) ).

fof(f9886,plain,
    ( e2 = e4
    | e1 = e2
    | e2 = e4
    | e2 = e3
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(forward_demodulation,[],[f9053,f3079]) ).

fof(f9053,plain,
    ( e1 = e2
    | e2 = e4
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(forward_demodulation,[],[f9052,f1916]) ).

fof(f9052,plain,
    ( e2 = op(e1,unit)
    | e2 = e4
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | ~ spl154_139
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(forward_demodulation,[],[f9051,f1885]) ).

fof(f9051,plain,
    ( e2 = e4
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_384
    | ~ spl154_385 ),
    inference(forward_demodulation,[],[f9027,f3159]) ).

fof(f3159,plain,
    ( e4 = op(e1,e3)
    | ~ spl154_385 ),
    inference(avatar_component_clause,[],[f3157]) ).

fof(f9866,plain,
    ( spl154_140
    | ~ spl154_410
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f9865,f8206,f3404,f1889]) ).

fof(f9865,plain,
    ( e3 = unit
    | ~ spl154_410
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f8208,f3405]) ).

fof(f9841,plain,
    ( spl154_136
    | spl154_316
    | spl154_137
    | spl154_133
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(avatar_split_clause,[],[f9826,f3404,f3153,f3078,f1914,f1884,f1854,f1874,f2791,f1869]) ).

fof(f9826,plain,
    ( e1 = e2
    | e2 = e4
    | e2 = unit
    | e2 = e3
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(forward_demodulation,[],[f9825,f1916]) ).

fof(f9825,plain,
    ( e2 = op(e1,unit)
    | e2 = e4
    | e2 = unit
    | e2 = e3
    | ~ spl154_139
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(forward_demodulation,[],[f9824,f1885]) ).

fof(f9824,plain,
    ( e2 = e4
    | e2 = unit
    | e2 = e3
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_368
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(forward_demodulation,[],[f9823,f3079]) ).

fof(f9823,plain,
    ( e2 = unit
    | e2 = e3
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(duplicate_literal_removal,[],[f9822]) ).

fof(f9822,plain,
    ( e2 = unit
    | e2 = e3
    | e2 = unit
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_139
    | ~ spl154_384
    | ~ spl154_410 ),
    inference(forward_demodulation,[],[f9027,f3405]) ).

fof(f9820,plain,
    ( spl154_403
    | ~ spl154_368
    | ~ spl154_407
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f9819,f3434,f3387,f3078,f3367]) ).

fof(f9819,plain,
    ( op(e4,e3) = unit
    | ~ spl154_368
    | ~ spl154_407
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f3388,f9699]) ).

fof(f9699,plain,
    ( e2 = e4
    | ~ spl154_368
    | ~ spl154_414 ),
    inference(superposition,[],[f3079,f3436]) ).

fof(f9818,plain,
    ( spl154_407
    | ~ spl154_139
    | ~ spl154_401 ),
    inference(avatar_split_clause,[],[f9765,f3231,f1884,f3387]) ).

fof(f9763,plain,
    ( spl154_430
    | ~ spl154_368
    | ~ spl154_385
    | ~ spl154_407
    | ~ spl154_410
    | ~ spl154_414 ),
    inference(avatar_split_clause,[],[f9753,f3434,f3404,f3387,f3157,f3078,f5015]) ).

fof(f9753,plain,
    ( unit = op(unit,e3)
    | ~ spl154_368
    | ~ spl154_385
    | ~ spl154_407
    | ~ spl154_410
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f3388,f9701]) ).

fof(f9701,plain,
    ( e2 = unit
    | ~ spl154_368
    | ~ spl154_385
    | ~ spl154_410
    | ~ spl154_414 ),
    inference(forward_demodulation,[],[f9690,f9681]) ).

fof(f9681,plain,
    ( e4 = unit
    | ~ spl154_385
    | ~ spl154_410 ),
    inference(superposition,[],[f3405,f3159]) ).

fof(f9690,plain,
    ( e2 = e4
    | ~ spl154_368
    | ~ spl154_414 ),
    inference(superposition,[],[f3436,f3079]) ).

fof(f9760,plain,
    ( spl154_419
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f9507,f3203,f1884,f3494]) ).

fof(f9706,plain,
    ( ~ spl154_139
    | spl154_312
    | ~ spl154_395
    | ~ spl154_403 ),
    inference(avatar_split_clause,[],[f9476,f3367,f3203,f2772,f1884]) ).

fof(f9476,plain,
    ( e0 != unit
    | spl154_312
    | ~ spl154_395
    | ~ spl154_403 ),
    inference(forward_demodulation,[],[f3708,f3368]) ).

fof(f3368,plain,
    ( op(e4,e3) = unit
    | ~ spl154_403 ),
    inference(avatar_component_clause,[],[f3367]) ).

fof(f9627,plain,
    ( spl154_133
    | ~ spl154_151
    | ~ spl154_368
    | ~ spl154_414
    | ~ spl154_453 ),
    inference(avatar_split_clause,[],[f9593,f9240,f3434,f3078,f1944,f1854]) ).

fof(f9240,plain,
    ( spl154_453
  <=> e1 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_453])]) ).

fof(f9593,plain,
    ( e1 = e2
    | ~ spl154_151
    | ~ spl154_368
    | ~ spl154_414
    | ~ spl154_453 ),
    inference(forward_demodulation,[],[f3436,f9589]) ).

fof(f9589,plain,
    ( e1 = op(e1,e2)
    | ~ spl154_151
    | ~ spl154_368
    | ~ spl154_453 ),
    inference(forward_demodulation,[],[f3079,f9277]) ).

fof(f9277,plain,
    ( e1 = e4
    | ~ spl154_151
    | ~ spl154_453 ),
    inference(superposition,[],[f9242,f1946]) ).

fof(f9242,plain,
    ( e1 = op(e4,unit)
    | ~ spl154_453 ),
    inference(avatar_component_clause,[],[f9240]) ).

fof(f9551,plain,
    ( spl154_451
    | ~ spl154_368
    | ~ spl154_378
    | ~ spl154_403 ),
    inference(avatar_split_clause,[],[f9496,f3367,f3123,f3078,f8823]) ).

fof(f9496,plain,
    ( e4 = op(unit,e2)
    | ~ spl154_368
    | ~ spl154_378
    | ~ spl154_403 ),
    inference(forward_demodulation,[],[f3079,f9376]) ).

fof(f9376,plain,
    ( e1 = unit
    | ~ spl154_378
    | ~ spl154_403 ),
    inference(superposition,[],[f3368,f3125]) ).

fof(f9492,plain,
    ( spl154_315
    | ~ spl154_145
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_378
    | ~ spl154_403
    | ~ spl154_454 ),
    inference(avatar_split_clause,[],[f9490,f9389,f3367,f3123,f3078,f3027,f1914,f2787]) ).

fof(f9490,plain,
    ( e4 = unit
    | ~ spl154_145
    | ~ spl154_357
    | ~ spl154_368
    | ~ spl154_378
    | ~ spl154_403
    | ~ spl154_454 ),
    inference(forward_demodulation,[],[f9489,f9376]) ).

fof(f9426,plain,
    ( spl154_316
    | ~ spl154_146
    | ~ spl154_438 ),
    inference(avatar_split_clause,[],[f8126,f6533,f1919,f2791]) ).

fof(f8126,plain,
    ( e2 = unit
    | ~ spl154_146
    | ~ spl154_438 ),
    inference(superposition,[],[f6535,f1921]) ).

fof(f6535,plain,
    ( unit = op(unit,e2)
    | ~ spl154_438 ),
    inference(avatar_component_clause,[],[f6533]) ).

fof(f9423,plain,
    ( spl154_218
    | spl154_414
    | spl154_216
    | spl154_368
    | spl154_411
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f9001,f1884,f3409,f3078,f2263,f3434,f2274]) ).

fof(f9001,plain,
    ( op(e1,e2) = unit
    | e4 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f952,f1885]) ).

fof(f9409,plain,
    ( spl154_303
    | spl154_353
    | spl154_362
    | spl154_455
    | spl154_405
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f6909,f1884,f3377,f9406,f3050,f3009,f2727]) ).

fof(f3050,plain,
    ( spl154_362
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_362])]) ).

fof(f6909,plain,
    ( op(e3,e4) = unit
    | e4 = op(e3,e4)
    | e3 = op(e3,e4)
    | e2 = op(e3,e4)
    | e1 = op(e3,e4)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f964,f1885]) ).

fof(f964,plain,
    ( e4 = op(e3,e4)
    | e3 = op(e3,e4)
    | e2 = op(e3,e4)
    | e1 = op(e3,e4)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f9392,plain,
    ( spl154_454
    | ~ spl154_139
    | ~ spl154_361 ),
    inference(avatar_split_clause,[],[f9374,f3045,f1884,f9389]) ).

fof(f9374,plain,
    ( op(e4,e4) = unit
    | ~ spl154_139
    | ~ spl154_361 ),
    inference(forward_demodulation,[],[f3047,f1885]) ).

fof(f9370,plain,
    ( ~ spl154_113
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f8479,f4966,f1944,f1884,f1747]) ).

fof(f1747,plain,
    ( spl154_113
  <=> sP120 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_113])]) ).

fof(f8479,plain,
    ( ~ sP120
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f8478]) ).

fof(f8478,plain,
    ( unit != unit
    | ~ sP120
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f8477,f4970]) ).

fof(f8477,plain,
    ( e4 != unit
    | ~ sP120
    | ~ spl154_139 ),
    inference(trivial_inequality_removal,[],[f8476]) ).

fof(f8476,plain,
    ( unit != unit
    | e4 != unit
    | ~ sP120
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1773,f1885]) ).

fof(f1773,plain,
    ( e0 != unit
    | e4 != unit
    | ~ sP120 ),
    inference(forward_demodulation,[],[f979,f780]) ).

fof(f780,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e4 = unit
      | e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f979,plain,
    ( e4 != unit
    | unit != op(unit,e0)
    | ~ sP120 ),
    inference(inner_rewriting,[],[f525]) ).

fof(f525,plain,
    ( e4 != unit
    | e4 != op(e4,e0)
    | ~ sP120 ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ( ( e4 != unit
      & e0 = op(e4,e4) )
    | e4 != op(e4,e0)
    | ~ sP120 ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e4 != unit
      & e0 = op(e4,e4) )
    | e4 != op(e4,e0)
    | ~ sP120 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).

fof(f9369,plain,
    ( ~ spl154_43
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f8475,f4966,f1944,f1884,f1338]) ).

fof(f1338,plain,
    ( spl154_43
  <=> sP106 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_43])]) ).

fof(f8475,plain,
    ( ~ sP106
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f8474]) ).

fof(f8474,plain,
    ( unit != unit
    | ~ sP106
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f8473,f4970]) ).

fof(f8473,plain,
    ( e4 != unit
    | ~ sP106
    | ~ spl154_139 ),
    inference(trivial_inequality_removal,[],[f8472]) ).

fof(f8472,plain,
    ( unit != unit
    | e4 != unit
    | ~ sP106
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1366,f1885]) ).

fof(f1366,plain,
    ( e0 != unit
    | e4 != unit
    | ~ sP106 ),
    inference(forward_demodulation,[],[f993,f1102]) ).

fof(f993,plain,
    ( e4 != unit
    | op(e1,e1) != unit
    | ~ sP106 ),
    inference(inner_rewriting,[],[f553]) ).

fof(f553,plain,
    ( e4 != unit
    | e4 != op(e1,e1)
    | ~ sP106 ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ( ( e4 != unit
      & e1 = op(e1,e4) )
    | e4 != op(e1,e1)
    | ~ sP106 ),
    inference(nnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e4 != unit
      & e1 = op(e1,e4) )
    | e4 != op(e1,e1)
    | ~ sP106 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).

fof(f9335,plain,
    ( spl154_138
    | ~ spl154_151
    | ~ spl154_431 ),
    inference(avatar_split_clause,[],[f5044,f5020,f1944,f1879]) ).

fof(f5044,plain,
    ( e3 = e4
    | ~ spl154_151
    | ~ spl154_431 ),
    inference(superposition,[],[f1946,f5022]) ).

fof(f5022,plain,
    ( e3 = op(e4,unit)
    | ~ spl154_431 ),
    inference(avatar_component_clause,[],[f5020]) ).

fof(f9333,plain,
    ( spl154_403
    | ~ spl154_139
    | ~ spl154_380 ),
    inference(avatar_split_clause,[],[f9317,f3132,f1884,f3367]) ).

fof(f9317,plain,
    ( op(e4,e3) = unit
    | ~ spl154_139
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f3134,f1885]) ).

fof(f9315,plain,
    ( spl154_410
    | ~ spl154_151
    | ~ spl154_403
    | ~ spl154_453 ),
    inference(avatar_split_clause,[],[f9308,f9240,f3367,f1944,f3404]) ).

fof(f9308,plain,
    ( op(e1,e3) = unit
    | ~ spl154_151
    | ~ spl154_403
    | ~ spl154_453 ),
    inference(forward_demodulation,[],[f3368,f9277]) ).

fof(f9286,plain,
    ( ~ spl154_430
    | ~ spl154_139
    | spl154_392 ),
    inference(avatar_split_clause,[],[f9235,f3189,f1884,f5015]) ).

fof(f9235,plain,
    ( unit != op(unit,e3)
    | ~ spl154_139
    | spl154_392 ),
    inference(forward_demodulation,[],[f3190,f1885]) ).

fof(f3190,plain,
    ( e0 != op(e0,e3)
    | spl154_392 ),
    inference(avatar_component_clause,[],[f3189]) ).

fof(f9282,plain,
    ( spl154_430
    | ~ spl154_146
    | ~ spl154_407
    | ~ spl154_438 ),
    inference(avatar_split_clause,[],[f9281,f6533,f3387,f1919,f5015]) ).

fof(f9281,plain,
    ( unit = op(unit,e3)
    | ~ spl154_146
    | ~ spl154_407
    | ~ spl154_438 ),
    inference(forward_demodulation,[],[f3388,f8126]) ).

fof(f9280,plain,
    ( spl154_407
    | ~ spl154_139
    | ~ spl154_401 ),
    inference(avatar_split_clause,[],[f9246,f3231,f1884,f3387]) ).

fof(f9246,plain,
    ( op(e2,e3) = unit
    | ~ spl154_139
    | ~ spl154_401 ),
    inference(forward_demodulation,[],[f3232,f1885]) ).

fof(f9244,plain,
    ( spl154_137
    | ~ spl154_146
    | ~ spl154_451 ),
    inference(avatar_split_clause,[],[f9136,f8823,f1919,f1874]) ).

fof(f9136,plain,
    ( e2 = e4
    | ~ spl154_146
    | ~ spl154_451 ),
    inference(superposition,[],[f1921,f8825]) ).

fof(f8825,plain,
    ( e4 = op(unit,e2)
    | ~ spl154_451 ),
    inference(avatar_component_clause,[],[f8823]) ).

fof(f9243,plain,
    ( spl154_453
    | ~ spl154_139
    | ~ spl154_191 ),
    inference(avatar_split_clause,[],[f9160,f2131,f1884,f9240]) ).

fof(f2131,plain,
    ( spl154_191
  <=> e1 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_191])]) ).

fof(f9160,plain,
    ( e1 = op(e4,unit)
    | ~ spl154_139
    | ~ spl154_191 ),
    inference(forward_demodulation,[],[f2132,f1885]) ).

fof(f2132,plain,
    ( e1 = op(e4,e0)
    | ~ spl154_191 ),
    inference(avatar_component_clause,[],[f2131]) ).

fof(f9236,plain,
    ( spl154_429
    | ~ spl154_139
    | ~ spl154_448 ),
    inference(avatar_split_clause,[],[f9185,f8355,f1884,f4966]) ).

fof(f8355,plain,
    ( spl154_448
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_448])]) ).

fof(f9185,plain,
    ( unit = op(e4,unit)
    | ~ spl154_139
    | ~ spl154_448 ),
    inference(forward_demodulation,[],[f8357,f1885]) ).

fof(f8357,plain,
    ( e0 = op(e4,e0)
    | ~ spl154_448 ),
    inference(avatar_component_clause,[],[f8355]) ).

fof(f9232,plain,
    ( spl154_430
    | ~ spl154_139
    | ~ spl154_392 ),
    inference(avatar_split_clause,[],[f8907,f3189,f1884,f5015]) ).

fof(f8907,plain,
    ( unit = op(unit,e3)
    | ~ spl154_139
    | ~ spl154_392 ),
    inference(forward_demodulation,[],[f3191,f1885]) ).

fof(f9226,plain,
    ( spl154_133
    | ~ spl154_357
    | ~ spl154_359 ),
    inference(avatar_split_clause,[],[f9224,f3036,f3027,f1854]) ).

fof(f9224,plain,
    ( e1 = e2
    | ~ spl154_357
    | ~ spl154_359 ),
    inference(forward_demodulation,[],[f3029,f3038]) ).

fof(f9223,plain,
    ( spl154_133
    | ~ spl154_238
    | ~ spl154_378 ),
    inference(avatar_split_clause,[],[f9222,f3123,f2382,f1854]) ).

fof(f9222,plain,
    ( e1 = e2
    | ~ spl154_238
    | ~ spl154_378 ),
    inference(forward_demodulation,[],[f2383,f3125]) ).

fof(f9214,plain,
    ( spl154_136
    | ~ spl154_377
    | ~ spl154_393 ),
    inference(avatar_split_clause,[],[f9192,f3194,f3119,f1869]) ).

fof(f9192,plain,
    ( e2 = e3
    | ~ spl154_377
    | ~ spl154_393 ),
    inference(forward_demodulation,[],[f3195,f3120]) ).

fof(f9194,plain,
    ( spl154_140
    | ~ spl154_147
    | ~ spl154_377
    | ~ spl154_393
    | ~ spl154_450 ),
    inference(avatar_split_clause,[],[f9191,f8814,f3194,f3119,f1924,f1889]) ).

fof(f9191,plain,
    ( e3 = unit
    | ~ spl154_147
    | ~ spl154_377
    | ~ spl154_393
    | ~ spl154_450 ),
    inference(forward_demodulation,[],[f8334,f9134]) ).

fof(f8334,plain,
    ( e2 = e3
    | ~ spl154_377
    | ~ spl154_393 ),
    inference(forward_demodulation,[],[f3195,f3120]) ).

fof(f9177,plain,
    ( spl154_137
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_394 ),
    inference(avatar_split_clause,[],[f9167,f3199,f1944,f1884,f1874]) ).

fof(f9167,plain,
    ( e2 = e4
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_394 ),
    inference(forward_demodulation,[],[f9166,f1946]) ).

fof(f9166,plain,
    ( e2 = op(e4,unit)
    | ~ spl154_139
    | ~ spl154_394 ),
    inference(forward_demodulation,[],[f3200,f1885]) ).

fof(f9170,plain,
    ( spl154_316
    | ~ spl154_415
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f9102,f3494,f3438,f2791]) ).

fof(f3438,plain,
    ( spl154_415
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_415])]) ).

fof(f9102,plain,
    ( e2 = unit
    | ~ spl154_415
    | ~ spl154_419 ),
    inference(superposition,[],[f3496,f3440]) ).

fof(f3440,plain,
    ( e2 = op(e4,e2)
    | ~ spl154_415 ),
    inference(avatar_component_clause,[],[f3438]) ).

fof(f9163,plain,
    ( spl154_141
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_191
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_451 ),
    inference(avatar_split_clause,[],[f9162,f8823,f3494,f3438,f2131,f1919,f1904,f1884,f1894]) ).

fof(f9162,plain,
    ( e1 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_191
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9161,f3239]) ).

fof(f9161,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_139
    | ~ spl154_146
    | ~ spl154_191
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9160,f9155]) ).

fof(f9155,plain,
    ( e4 = unit
    | ~ spl154_146
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9136,f9102]) ).

fof(f9148,plain,
    ( ~ spl154_139
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_151
    | spl154_380
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(avatar_split_clause,[],[f9147,f8823,f5020,f3494,f3438,f3132,f1944,f1919,f1904,f1884,f1884]) ).

fof(f9147,plain,
    ( e0 != unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_151
    | spl154_380
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9146,f3239]) ).

fof(f9146,plain,
    ( e0 != op(unit,unit)
    | ~ spl154_146
    | ~ spl154_151
    | spl154_380
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9145,f9138]) ).

fof(f9138,plain,
    ( e3 = unit
    | ~ spl154_146
    | ~ spl154_151
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9137,f9102]) ).

fof(f9137,plain,
    ( e2 = e3
    | ~ spl154_146
    | ~ spl154_151
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9135,f5044]) ).

fof(f9135,plain,
    ( e2 = e4
    | ~ spl154_146
    | ~ spl154_451 ),
    inference(superposition,[],[f8825,f1921]) ).

fof(f9145,plain,
    ( e0 != op(e3,unit)
    | ~ spl154_146
    | ~ spl154_151
    | spl154_380
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f9144,f5044]) ).

fof(f9144,plain,
    ( e0 != op(e4,unit)
    | ~ spl154_146
    | ~ spl154_151
    | spl154_380
    | ~ spl154_415
    | ~ spl154_419
    | ~ spl154_431
    | ~ spl154_451 ),
    inference(forward_demodulation,[],[f3133,f9138]) ).

fof(f3133,plain,
    ( e0 != op(e4,e3)
    | spl154_380 ),
    inference(avatar_component_clause,[],[f3132]) ).

fof(f9141,plain,
    ( spl154_403
    | ~ spl154_139
    | ~ spl154_380 ),
    inference(avatar_split_clause,[],[f8904,f3132,f1884,f3367]) ).

fof(f8904,plain,
    ( op(e4,e3) = unit
    | ~ spl154_139
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f3134,f1885]) ).

fof(f9126,plain,
    ( spl154_439
    | ~ spl154_139
    | ~ spl154_425 ),
    inference(avatar_split_clause,[],[f8746,f4940,f1884,f6833]) ).

fof(f8746,plain,
    ( unit = op(unit,e4)
    | ~ spl154_139
    | ~ spl154_425 ),
    inference(forward_demodulation,[],[f4941,f1885]) ).

fof(f9124,plain,
    ( spl154_452
    | ~ spl154_139
    | ~ spl154_447 ),
    inference(avatar_split_clause,[],[f8351,f8347,f1884,f9121]) ).

fof(f8351,plain,
    ( unit = op(e3,unit)
    | ~ spl154_139
    | ~ spl154_447 ),
    inference(forward_demodulation,[],[f8349,f1885]) ).

fof(f9118,plain,
    ( spl154_431
    | ~ spl154_139
    | ~ spl154_379 ),
    inference(avatar_split_clause,[],[f8242,f3128,f1884,f5020]) ).

fof(f8242,plain,
    ( e3 = op(e4,unit)
    | ~ spl154_139
    | ~ spl154_379 ),
    inference(forward_demodulation,[],[f3129,f1885]) ).

fof(f9050,plain,
    ( spl154_135
    | ~ spl154_264
    | ~ spl154_385 ),
    inference(avatar_split_clause,[],[f9049,f3157,f2516,f1864]) ).

fof(f9049,plain,
    ( e1 = e4
    | ~ spl154_264
    | ~ spl154_385 ),
    inference(forward_demodulation,[],[f3159,f2517]) ).

fof(f9038,plain,
    ( spl154_138
    | ~ spl154_384
    | ~ spl154_421 ),
    inference(avatar_split_clause,[],[f9003,f3736,f3153,f1879]) ).

fof(f9003,plain,
    ( e3 = e4
    | ~ spl154_384
    | ~ spl154_421 ),
    inference(forward_demodulation,[],[f3738,f3154]) ).

fof(f8976,plain,
    ( spl154_141
    | ~ spl154_144
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8321,f6254,f1909,f1894]) ).

fof(f8321,plain,
    ( e1 = unit
    | ~ spl154_144
    | ~ spl154_433 ),
    inference(superposition,[],[f6255,f1911]) ).

fof(f6255,plain,
    ( unit = op(unit,e1)
    | ~ spl154_433 ),
    inference(avatar_component_clause,[],[f6254]) ).

fof(f8970,plain,
    ( spl154_137
    | ~ spl154_285
    | ~ spl154_364 ),
    inference(avatar_split_clause,[],[f8956,f3060,f2629,f1874]) ).

fof(f8956,plain,
    ( e2 = e4
    | ~ spl154_285
    | ~ spl154_364 ),
    inference(forward_demodulation,[],[f2630,f3061]) ).

fof(f8957,plain,
    ( spl154_140
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_376
    | ~ spl154_384
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8942,f6254,f3153,f3114,f1909,f1884,f1889]) ).

fof(f3114,plain,
    ( spl154_376
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_376])]) ).

fof(f8942,plain,
    ( e3 = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_376
    | ~ spl154_384
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8941,f8780]) ).

fof(f8780,plain,
    ( unit = op(unit,e4)
    | ~ spl154_139
    | ~ spl154_376 ),
    inference(forward_demodulation,[],[f3116,f1885]) ).

fof(f3116,plain,
    ( e0 = op(e0,e4)
    | ~ spl154_376 ),
    inference(avatar_component_clause,[],[f3114]) ).

fof(f8941,plain,
    ( e3 = op(unit,e4)
    | ~ spl154_144
    | ~ spl154_384
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f3154,f8321]) ).

fof(f8943,plain,
    ( spl154_316
    | ~ spl154_144
    | ~ spl154_291
    | ~ spl154_365
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8898,f6254,f3064,f2663,f1909,f2791]) ).

fof(f8898,plain,
    ( e2 = unit
    | ~ spl154_144
    | ~ spl154_291
    | ~ spl154_365
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f2664,f8745]) ).

fof(f8745,plain,
    ( op(e2,e4) = unit
    | ~ spl154_144
    | ~ spl154_365
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f3066,f8321]) ).

fof(f8900,plain,
    ( spl154_140
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_386
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8856,f6254,f3162,f1914,f1909,f1884,f1889]) ).

fof(f8856,plain,
    ( e3 = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_386
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8630,f8321]) ).

fof(f8828,plain,
    ( spl154_140
    | ~ spl154_152
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f8199,f6497,f1949,f1889]) ).

fof(f8827,plain,
    ( ~ spl154_419
    | ~ spl154_139
    | spl154_395 ),
    inference(avatar_split_clause,[],[f8714,f3203,f1884,f3494]) ).

fof(f8714,plain,
    ( op(e4,e2) != unit
    | ~ spl154_139
    | spl154_395 ),
    inference(forward_demodulation,[],[f3204,f1885]) ).

fof(f8826,plain,
    ( spl154_451
    | ~ spl154_139
    | ~ spl154_371 ),
    inference(avatar_split_clause,[],[f8693,f3092,f1884,f8823]) ).

fof(f8693,plain,
    ( e4 = op(unit,e2)
    | ~ spl154_139
    | ~ spl154_371 ),
    inference(forward_demodulation,[],[f3093,f1885]) ).

fof(f8820,plain,
    ( spl154_439
    | ~ spl154_144
    | ~ spl154_266
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8640,f6254,f2527,f1909,f6833]) ).

fof(f8640,plain,
    ( unit = op(unit,e4)
    | ~ spl154_144
    | ~ spl154_266
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f2528,f8321]) ).

fof(f2528,plain,
    ( e1 = op(e1,e4)
    | ~ spl154_266 ),
    inference(avatar_component_clause,[],[f2527]) ).

fof(f8818,plain,
    ( ~ spl154_439
    | ~ spl154_152
    | spl154_362
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f8518,f6497,f3050,f1949,f6833]) ).

fof(f8518,plain,
    ( unit != op(unit,e4)
    | ~ spl154_152
    | spl154_362
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f3051,f8199]) ).

fof(f3051,plain,
    ( e3 != op(e3,e4)
    | spl154_362 ),
    inference(avatar_component_clause,[],[f3050]) ).

fof(f8817,plain,
    ( spl154_450
    | ~ spl154_139
    | ~ spl154_446 ),
    inference(avatar_split_clause,[],[f8343,f8339,f1884,f8814]) ).

fof(f8343,plain,
    ( unit = op(e2,unit)
    | ~ spl154_139
    | ~ spl154_446 ),
    inference(forward_demodulation,[],[f8341,f1885]) ).

fof(f8794,plain,
    ( ~ spl154_139
    | spl154_268
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f5773,f3409,f2538,f1884]) ).

fof(f5773,plain,
    ( e0 != unit
    | spl154_268
    | ~ spl154_411 ),
    inference(superposition,[],[f2540,f3410]) ).

fof(f2540,plain,
    ( e0 != op(e1,e2)
    | spl154_268 ),
    inference(avatar_component_clause,[],[f2538]) ).

fof(f8786,plain,
    ( spl154_315
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_375 ),
    inference(avatar_split_clause,[],[f8782,f3110,f1904,f1884,f2787]) ).

fof(f8782,plain,
    ( e4 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_375 ),
    inference(forward_demodulation,[],[f8781,f3239]) ).

fof(f8781,plain,
    ( e4 = op(unit,unit)
    | ~ spl154_139
    | ~ spl154_375 ),
    inference(forward_demodulation,[],[f3111,f1885]) ).

fof(f8774,plain,
    ( spl154_315
    | ~ spl154_364
    | ~ spl154_408 ),
    inference(avatar_split_clause,[],[f5861,f3392,f3060,f2787]) ).

fof(f5861,plain,
    ( e4 = unit
    | ~ spl154_364
    | ~ spl154_408 ),
    inference(forward_demodulation,[],[f3061,f3393]) ).

fof(f8713,plain,
    ( spl154_315
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_370
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8641,f6254,f3087,f1914,f1909,f1884,f2787]) ).

fof(f8641,plain,
    ( e4 = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_370
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8635,f8321]) ).

fof(f8635,plain,
    ( e1 = e4
    | ~ spl154_139
    | ~ spl154_145
    | ~ spl154_370 ),
    inference(forward_demodulation,[],[f8634,f1916]) ).

fof(f8634,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_139
    | ~ spl154_370 ),
    inference(forward_demodulation,[],[f3088,f1885]) ).

fof(f8639,plain,
    ( spl154_315
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_371
    | ~ spl154_432
    | ~ spl154_433 ),
    inference(avatar_split_clause,[],[f8603,f6254,f5836,f3092,f1924,f1909,f1904,f1884,f2787]) ).

fof(f8603,plain,
    ( e4 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_371
    | ~ spl154_432
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8391,f1885]) ).

fof(f8391,plain,
    ( e0 = e4
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_371
    | ~ spl154_432
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8390,f1906]) ).

fof(f8390,plain,
    ( e4 = op(e0,unit)
    | ~ spl154_144
    | ~ spl154_147
    | ~ spl154_371
    | ~ spl154_432
    | ~ spl154_433 ),
    inference(forward_demodulation,[],[f8389,f8321]) ).

fof(f8597,plain,
    ( spl154_315
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_385
    | ~ spl154_433
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f8560,f6497,f6254,f3157,f1949,f1914,f1909,f2787]) ).

fof(f8560,plain,
    ( e4 = unit
    | ~ spl154_144
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_385
    | ~ spl154_433
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f8451,f8321]) ).

fof(f8451,plain,
    ( e1 = e4
    | ~ spl154_145
    | ~ spl154_152
    | ~ spl154_385
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f8450,f1916]) ).

fof(f8450,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_152
    | ~ spl154_385
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f3159,f8199]) ).

fof(f8595,plain,
    ( spl154_316
    | ~ spl154_152
    | ~ spl154_377
    | ~ spl154_393
    | ~ spl154_434 ),
    inference(avatar_split_clause,[],[f8423,f6497,f3194,f3119,f1949,f2791]) ).

fof(f8423,plain,
    ( e2 = unit
    | ~ spl154_152
    | ~ spl154_377
    | ~ spl154_393
    | ~ spl154_434 ),
    inference(forward_demodulation,[],[f8334,f8199]) ).

fof(f8517,plain,
    ( ~ spl154_43
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f8475,f4966,f1944,f1884,f1338]) ).

fof(f8516,plain,
    ( ~ spl154_33
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f8471,f4966,f1944,f1884,f1282]) ).

fof(f1282,plain,
    ( spl154_33
  <=> sP104 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_33])]) ).

fof(f8471,plain,
    ( ~ sP104
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(trivial_inequality_removal,[],[f8470]) ).

fof(f8470,plain,
    ( unit != unit
    | ~ sP104
    | ~ spl154_139
    | ~ spl154_151
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f8469,f4970]) ).

fof(f8469,plain,
    ( e4 != unit
    | ~ sP104
    | ~ spl154_139 ),
    inference(trivial_inequality_removal,[],[f8468]) ).

fof(f8468,plain,
    ( unit != unit
    | e4 != unit
    | ~ sP104
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1308,f1885]) ).

fof(f1308,plain,
    ( e0 != unit
    | e4 != unit
    | ~ sP104 ),
    inference(forward_demodulation,[],[f995,f781]) ).

fof(f781,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f995,plain,
    ( e4 != unit
    | unit != op(e0,unit)
    | ~ sP104 ),
    inference(inner_rewriting,[],[f557]) ).

fof(f557,plain,
    ( e4 != unit
    | e4 != op(e0,e4)
    | ~ sP104 ),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ( ( e4 != unit
      & e4 = op(e0,e4) )
    | e4 != op(e0,e4)
    | ~ sP104 ),
    inference(nnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e4 != unit
      & e4 = op(e0,e4) )
    | e4 != op(e0,e4)
    | ~ sP104 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).

fof(f8402,plain,
    ( ~ spl154_315
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_151
    | spl154_185 ),
    inference(avatar_split_clause,[],[f6560,f2098,f1944,f1904,f1884,f2787]) ).

fof(f6560,plain,
    ( e4 != unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_151
    | spl154_185 ),
    inference(forward_demodulation,[],[f6348,f3239]) ).

fof(f6348,plain,
    ( e4 != op(unit,unit)
    | ~ spl154_139
    | ~ spl154_151
    | spl154_185 ),
    inference(forward_demodulation,[],[f3245,f1946]) ).

fof(f3245,plain,
    ( op(e4,unit) != op(unit,unit)
    | ~ spl154_139
    | spl154_185 ),
    inference(superposition,[],[f2100,f1885]) ).

fof(f8395,plain,
    ( ~ spl154_315
    | ~ spl154_151
    | spl154_429 ),
    inference(avatar_split_clause,[],[f6776,f4966,f1944,f2787]) ).

fof(f6776,plain,
    ( e4 != unit
    | ~ spl154_151
    | spl154_429 ),
    inference(superposition,[],[f4967,f1946]) ).

fof(f4967,plain,
    ( unit != op(e4,unit)
    | spl154_429 ),
    inference(avatar_component_clause,[],[f4966]) ).

fof(f8385,plain,
    ( ~ spl154_315
    | ~ spl154_356
    | spl154_419 ),
    inference(avatar_split_clause,[],[f3726,f3494,f3023,f2787]) ).

fof(f3023,plain,
    ( spl154_356
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_356])]) ).

fof(f3726,plain,
    ( e4 != unit
    | ~ spl154_356
    | spl154_419 ),
    inference(superposition,[],[f3495,f3024]) ).

fof(f3024,plain,
    ( e4 = op(e4,e2)
    | ~ spl154_356 ),
    inference(avatar_component_clause,[],[f3023]) ).

fof(f3495,plain,
    ( op(e4,e2) != unit
    | spl154_419 ),
    inference(avatar_component_clause,[],[f3494]) ).

fof(f8379,plain,
    ( ~ spl154_315
    | ~ spl154_150
    | spl154_439 ),
    inference(avatar_split_clause,[],[f6973,f6833,f1939,f2787]) ).

fof(f6973,plain,
    ( e4 != unit
    | ~ spl154_150
    | spl154_439 ),
    inference(superposition,[],[f6835,f1941]) ).

fof(f6835,plain,
    ( unit != op(unit,e4)
    | spl154_439 ),
    inference(avatar_component_clause,[],[f6833]) ).

fof(f8378,plain,
    ( spl154_225
    | spl154_415
    | spl154_223
    | spl154_356
    | spl154_419
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f7404,f1884,f3494,f3023,f2302,f3438,f2313]) ).

fof(f2313,plain,
    ( spl154_225
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_225])]) ).

fof(f2302,plain,
    ( spl154_223
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_223])]) ).

fof(f7404,plain,
    ( op(e4,e2) = unit
    | e4 = op(e4,e2)
    | e3 = op(e4,e2)
    | e2 = op(e4,e2)
    | e1 = op(e4,e2)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f967,f1885]) ).

fof(f967,plain,
    ( e4 = op(e4,e2)
    | e3 = op(e4,e2)
    | e2 = op(e4,e2)
    | e1 = op(e4,e2)
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8377,plain,
    ( spl154_264
    | spl154_232
    | spl154_443
    | spl154_385
    | spl154_410
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f6897,f1884,f3404,f3157,f8206,f2350,f2516]) ).

fof(f6897,plain,
    ( op(e1,e3) = unit
    | e4 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f953,f1885]) ).

fof(f953,plain,
    ( e4 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8376,plain,
    ( spl154_266
    | spl154_369
    | spl154_384
    | spl154_421
    | spl154_409
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f6700,f1884,f3397,f3736,f3153,f3082,f2527]) ).

fof(f6700,plain,
    ( op(e1,e4) = unit
    | e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f954,f1885]) ).

fof(f954,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8368,plain,
    ( spl154_316
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_357 ),
    inference(avatar_split_clause,[],[f8367,f3027,f2787,f1904,f1884,f2791]) ).

fof(f8367,plain,
    ( e2 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_315
    | ~ spl154_357 ),
    inference(forward_demodulation,[],[f8366,f3239]) ).

fof(f8364,plain,
    ( spl154_361
    | spl154_359
    | spl154_357
    | spl154_355
    | spl154_449 ),
    inference(avatar_split_clause,[],[f969,f8361,f3018,f3027,f3036,f3045]) ).

fof(f969,plain,
    ( e4 = op(e4,e4)
    | e3 = op(e4,e4)
    | e2 = op(e4,e4)
    | e1 = op(e4,e4)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8358,plain,
    ( spl154_448
    | spl154_191
    | spl154_394
    | spl154_379
    | spl154_360 ),
    inference(avatar_split_clause,[],[f965,f3041,f3128,f3199,f2131,f8355]) ).

fof(f965,plain,
    ( e4 = op(e4,e0)
    | e3 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0)
    | e0 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8350,plain,
    ( spl154_447
    | spl154_189
    | spl154_350
    | spl154_382
    | spl154_400 ),
    inference(avatar_split_clause,[],[f960,f3226,f3143,f2987,f2120,f8347]) ).

fof(f2987,plain,
    ( spl154_350
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_350])]) ).

fof(f960,plain,
    ( e4 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8342,plain,
    ( spl154_446
    | spl154_187
    | spl154_280
    | spl154_278
    | spl154_366 ),
    inference(avatar_split_clause,[],[f955,f3069,f2591,f2602,f2109,f8339]) ).

fof(f2602,plain,
    ( spl154_280
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_280])]) ).

fof(f2591,plain,
    ( spl154_278
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_278])]) ).

fof(f955,plain,
    ( e4 = op(e2,e0)
    | e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8337,plain,
    ( spl154_376
    | spl154_374
    | spl154_372
    | spl154_387
    | spl154_445 ),
    inference(avatar_split_clause,[],[f949,f8324,f3167,f3096,f3105,f3114]) ).

fof(f949,plain,
    ( e4 = op(e0,e4)
    | e3 = op(e0,e4)
    | e2 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8336,plain,
    ( spl154_444
    | spl154_182
    | spl154_397
    | spl154_391
    | spl154_375 ),
    inference(avatar_split_clause,[],[f945,f3110,f3185,f3213,f2083,f8232]) ).

fof(f945,plain,
    ( op(e0,e0) = e4
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8331,plain,
    ( spl154_394
    | spl154_393
    | spl154_415
    | spl154_238
    | spl154_357 ),
    inference(avatar_split_clause,[],[f939,f3027,f2382,f3438,f3194,f3199]) ).

fof(f939,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e4,e3)
    | e2 = op(e4,e2)
    | e2 = op(e4,e1)
    | e2 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8330,plain,
    ( spl154_392
    | spl154_270
    | spl154_401
    | spl154_383
    | spl154_380 ),
    inference(avatar_split_clause,[],[f926,f3132,f3147,f3231,f2549,f3189]) ).

fof(f2549,plain,
    ( spl154_270
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_270])]) ).

fof(f3147,plain,
    ( spl154_383
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_383])]) ).

fof(f926,plain,
    ( e0 = op(e4,e3)
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8327,plain,
    ( spl154_375
    | spl154_373
    | spl154_371
    | spl154_388
    | spl154_445 ),
    inference(avatar_split_clause,[],[f903,f8324,f3171,f3092,f3101,f3110]) ).

fof(f903,plain,
    ( e4 = op(e0,e4)
    | e4 = op(e0,e3)
    | e4 = op(e0,e2)
    | e4 = op(e0,e1)
    | op(e0,e0) = e4 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8320,plain,
    ( spl154_433
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_392 ),
    inference(avatar_split_clause,[],[f8274,f3189,f3119,f2787,f1909,f1884,f6254]) ).

fof(f8274,plain,
    ( unit = op(unit,e1)
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_392 ),
    inference(forward_demodulation,[],[f8273,f1885]) ).

fof(f8273,plain,
    ( e0 = op(e0,e1)
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_392 ),
    inference(forward_demodulation,[],[f3191,f8115]) ).

fof(f8115,plain,
    ( e1 = e3
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f8009,f1911]) ).

fof(f8289,plain,
    ( spl154_141
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_391 ),
    inference(avatar_split_clause,[],[f8277,f3185,f3119,f2787,f1909,f1904,f1884,f1894]) ).

fof(f8277,plain,
    ( e1 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_391 ),
    inference(forward_demodulation,[],[f8276,f3239]) ).

fof(f8276,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_391 ),
    inference(forward_demodulation,[],[f8275,f1885]) ).

fof(f8275,plain,
    ( op(e0,e0) = e1
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_391 ),
    inference(forward_demodulation,[],[f3186,f8115]) ).

fof(f8245,plain,
    ( spl154_433
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_380 ),
    inference(avatar_split_clause,[],[f8241,f3132,f3119,f2787,f1909,f1884,f6254]) ).

fof(f8241,plain,
    ( unit = op(unit,e1)
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f8240,f1885]) ).

fof(f8240,plain,
    ( e0 = op(unit,e1)
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f8239,f2788]) ).

fof(f8239,plain,
    ( e0 = op(e4,e1)
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_380 ),
    inference(forward_demodulation,[],[f3134,f8115]) ).

fof(f8237,plain,
    ( spl154_391
    | spl154_386
    | spl154_278
    | spl154_382
    | spl154_379 ),
    inference(avatar_split_clause,[],[f902,f3128,f3143,f2591,f3162,f3185]) ).

fof(f902,plain,
    ( e3 = op(e4,e0)
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8235,plain,
    ( spl154_444
    | spl154_196
    | spl154_398
    | spl154_392
    | spl154_376 ),
    inference(avatar_split_clause,[],[f895,f3114,f3189,f3217,f2157,f8232]) ).

fof(f895,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8225,plain,
    ( ~ spl154_315
    | ~ spl154_139
    | ~ spl154_142
    | spl154_375 ),
    inference(avatar_split_clause,[],[f3355,f3110,f1899,f1884,f2787]) ).

fof(f3355,plain,
    ( e4 != unit
    | ~ spl154_139
    | ~ spl154_142
    | spl154_375 ),
    inference(forward_demodulation,[],[f3294,f3238]) ).

fof(f3294,plain,
    ( e4 != op(unit,unit)
    | ~ spl154_139
    | spl154_375 ),
    inference(superposition,[],[f3112,f1885]) ).

fof(f3112,plain,
    ( op(e0,e0) != e4
    | spl154_375 ),
    inference(avatar_component_clause,[],[f3110]) ).

fof(f8213,plain,
    ( spl154_141
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_443 ),
    inference(avatar_split_clause,[],[f8212,f8206,f3119,f2787,f1959,f1909,f1884,f1894]) ).

fof(f8212,plain,
    ( e1 = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f8211,f1885]) ).

fof(f8211,plain,
    ( e0 = e1
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f8210,f1961]) ).

fof(f8210,plain,
    ( e1 = op(e1,e1)
    | ~ spl154_144
    | ~ spl154_315
    | ~ spl154_377
    | ~ spl154_443 ),
    inference(forward_demodulation,[],[f8208,f8115]) ).

fof(f8209,plain,
    ( spl154_386
    | spl154_216
    | spl154_443
    | spl154_384
    | spl154_131 ),
    inference(avatar_split_clause,[],[f1116,f1844,f3153,f8206,f2263,f3162]) ).

fof(f1116,plain,
    ( e0 = e3
    | e3 = op(e1,e4)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0) ),
    inference(forward_demodulation,[],[f911,f1102]) ).

fof(f911,plain,
    ( e3 = op(e1,e4)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f8202,plain,
    ( spl154_432
    | ~ spl154_315
    | ~ spl154_365 ),
    inference(avatar_split_clause,[],[f8141,f3064,f2787,f5836]) ).

fof(f8141,plain,
    ( e1 = op(e2,unit)
    | ~ spl154_315
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f3066,f2788]) ).

fof(f8161,plain,
    ( spl154_141
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_438 ),
    inference(avatar_split_clause,[],[f8143,f6533,f3064,f2787,f1919,f1904,f1884,f1894]) ).

fof(f8143,plain,
    ( e1 = unit
    | ~ spl154_139
    | ~ spl154_143
    | ~ spl154_146
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_438 ),
    inference(forward_demodulation,[],[f8142,f3239]) ).

fof(f8142,plain,
    ( e1 = op(unit,unit)
    | ~ spl154_146
    | ~ spl154_315
    | ~ spl154_365
    | ~ spl154_438 ),
    inference(forward_demodulation,[],[f8141,f8126]) ).

fof(f8135,plain,
    ( spl154_141
    | ~ spl154_365
    | ~ spl154_406 ),
    inference(avatar_split_clause,[],[f8134,f3382,f3064,f1894]) ).

fof(f3382,plain,
    ( spl154_406
  <=> op(e2,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_406])]) ).

fof(f8134,plain,
    ( e1 = unit
    | ~ spl154_365
    | ~ spl154_406 ),
    inference(forward_demodulation,[],[f3066,f3383]) ).

fof(f3383,plain,
    ( op(e2,e4) = unit
    | ~ spl154_406 ),
    inference(avatar_component_clause,[],[f3382]) ).

fof(f8128,plain,
    ( spl154_428
    | spl154_221
    | spl154_365
    | spl154_133
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(avatar_split_clause,[],[f7284,f2050,f1924,f1884,f1854,f3064,f2290,f4959]) ).

fof(f2290,plain,
    ( spl154_221
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_221])]) ).

fof(f7284,plain,
    ( e1 = e2
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(duplicate_literal_removal,[],[f7283]) ).

fof(f7283,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7282,f1926]) ).

fof(f7282,plain,
    ( e1 = op(e2,unit)
    | e1 = e2
    | e1 = op(e2,e4)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7281,f1885]) ).

fof(f7928,plain,
    ( spl154_315
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f5777,f3409,f3078,f2787]) ).

fof(f7927,plain,
    ( spl154_438
    | ~ spl154_139
    | ~ spl154_398 ),
    inference(avatar_split_clause,[],[f7926,f3217,f1884,f6533]) ).

fof(f7926,plain,
    ( unit = op(unit,e2)
    | ~ spl154_139
    | ~ spl154_398 ),
    inference(forward_demodulation,[],[f3219,f1885]) ).

fof(f7900,plain,
    ( spl154_434
    | ~ spl154_139
    | ~ spl154_418 ),
    inference(avatar_split_clause,[],[f7415,f3487,f1884,f6497]) ).

fof(f7415,plain,
    ( op(e2,e2) = unit
    | ~ spl154_139
    | ~ spl154_418 ),
    inference(forward_demodulation,[],[f3489,f1885]) ).

fof(f7883,plain,
    ( spl154_408
    | ~ spl154_364
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f6260,f3409,f3078,f3060,f3392]) ).

fof(f7349,plain,
    ( spl154_141
    | ~ spl154_153
    | ~ spl154_442 ),
    inference(avatar_split_clause,[],[f7330,f7326,f1954,f1894]) ).

fof(f7330,plain,
    ( e1 = unit
    | ~ spl154_153
    | ~ spl154_442 ),
    inference(superposition,[],[f7328,f1956]) ).

fof(f7328,plain,
    ( op(e3,e2) = unit
    | ~ spl154_442 ),
    inference(avatar_component_clause,[],[f7326]) ).

fof(f7332,plain,
    ( spl154_406
    | spl154_434
    | spl154_408
    | spl154_316
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(avatar_split_clause,[],[f7280,f2050,f1924,f1884,f2791,f3392,f6497,f3382]) ).

fof(f7280,plain,
    ( e2 = unit
    | op(e2,e1) = unit
    | op(e2,e2) = unit
    | op(e2,e4) = unit
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(duplicate_literal_removal,[],[f7279]) ).

fof(f7279,plain,
    ( e2 = unit
    | op(e2,e1) = unit
    | op(e2,e2) = unit
    | op(e2,e4) = unit
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7278,f1926]) ).

fof(f7278,plain,
    ( unit = op(e2,unit)
    | op(e2,e1) = unit
    | op(e2,e2) = unit
    | op(e2,e4) = unit
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7277,f1885]) ).

fof(f7277,plain,
    ( op(e2,e1) = unit
    | op(e2,e2) = unit
    | op(e2,e4) = unit
    | e2 = unit
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7276,f1885]) ).

fof(f7276,plain,
    ( op(e2,e2) = unit
    | op(e2,e4) = unit
    | e2 = unit
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f7275,f1885]) ).

fof(f7275,plain,
    ( op(e2,e4) = unit
    | e2 = unit
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f6591,f1885]) ).

fof(f6591,plain,
    ( e2 = unit
    | e0 = op(e2,e4)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f5858,f1885]) ).

fof(f5858,plain,
    ( e0 = e2
    | e0 = op(e2,e4)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f915,f2052]) ).

fof(f915,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f7329,plain,
    ( spl154_315
    | spl154_442
    | spl154_316
    | spl154_140
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(avatar_split_clause,[],[f7287,f3050,f2998,f2055,f1934,f1884,f1889,f2791,f7326,f2787]) ).

fof(f7287,plain,
    ( e3 = unit
    | e2 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(duplicate_literal_removal,[],[f7286]) ).

fof(f7286,plain,
    ( e3 = unit
    | e2 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | e3 = unit
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f7285,f1936]) ).

fof(f7285,plain,
    ( unit = op(e3,unit)
    | e2 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | e3 = unit
    | ~ spl154_139
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f7200,f1885]) ).

fof(f7200,plain,
    ( e2 = unit
    | op(e3,e2) = unit
    | e4 = unit
    | e3 = unit
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f7199,f1885]) ).

fof(f7199,plain,
    ( e0 = e2
    | op(e3,e2) = unit
    | e4 = unit
    | e3 = unit
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6706,f2057]) ).

fof(f6706,plain,
    ( op(e3,e2) = unit
    | e4 = unit
    | e3 = unit
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6705,f1885]) ).

fof(f6705,plain,
    ( e4 = unit
    | e3 = unit
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6704,f1885]) ).

fof(f6704,plain,
    ( e0 = e4
    | e3 = unit
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6703,f3000]) ).

fof(f6703,plain,
    ( e3 = unit
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_139
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6702,f1885]) ).

fof(f6702,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f925,f3052]) ).

fof(f3052,plain,
    ( e3 = op(e3,e4)
    | ~ spl154_362 ),
    inference(avatar_component_clause,[],[f3050]) ).

fof(f7270,plain,
    ( spl154_135
    | ~ spl154_364
    | ~ spl154_428 ),
    inference(avatar_split_clause,[],[f7252,f4959,f3060,f1864]) ).

fof(f7252,plain,
    ( e1 = e4
    | ~ spl154_364
    | ~ spl154_428 ),
    inference(forward_demodulation,[],[f3061,f4961]) ).

fof(f7242,plain,
    ( spl154_136
    | ~ spl154_353
    | ~ spl154_362 ),
    inference(avatar_split_clause,[],[f7240,f3050,f3009,f1869]) ).

fof(f7240,plain,
    ( e2 = e3
    | ~ spl154_353
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f3010,f3052]) ).

fof(f7216,plain,
    ( spl154_135
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_373 ),
    inference(avatar_split_clause,[],[f7131,f3101,f1909,f1884,f1864]) ).

fof(f7131,plain,
    ( e1 = e4
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f7130,f1911]) ).

fof(f7130,plain,
    ( e4 = op(unit,e1)
    | ~ spl154_139
    | ~ spl154_373 ),
    inference(forward_demodulation,[],[f3102,f1885]) ).

fof(f7211,plain,
    ( spl154_138
    | ~ spl154_358
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f7144,f3119,f3032,f1879]) ).

fof(f3032,plain,
    ( spl154_358
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_358])]) ).

fof(f7144,plain,
    ( e3 = e4
    | ~ spl154_358
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f3033,f3120]) ).

fof(f3033,plain,
    ( e4 = op(e4,e1)
    | ~ spl154_358 ),
    inference(avatar_component_clause,[],[f3032]) ).

fof(f7189,plain,
    ( spl154_137
    | ~ spl154_177
    | ~ spl154_420 ),
    inference(avatar_split_clause,[],[f7127,f3728,f2055,f1874]) ).

fof(f7127,plain,
    ( e2 = e4
    | ~ spl154_177
    | ~ spl154_420 ),
    inference(forward_demodulation,[],[f2057,f3730]) ).

fof(f3730,plain,
    ( e4 = op(e3,e1)
    | ~ spl154_420 ),
    inference(avatar_component_clause,[],[f3728]) ).

fof(f7146,plain,
    ( spl154_140
    | ~ spl154_352
    | ~ spl154_358
    | ~ spl154_377
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f7145,f7083,f3119,f3032,f2998,f1889]) ).

fof(f7145,plain,
    ( e3 = unit
    | ~ spl154_352
    | ~ spl154_358
    | ~ spl154_377
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f7144,f7087]) ).

fof(f7133,plain,
    ( spl154_141
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_352
    | ~ spl154_373
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f7132,f7083,f3101,f2998,f1909,f1884,f1894]) ).

fof(f7132,plain,
    ( e1 = unit
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_352
    | ~ spl154_373
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f7131,f7087]) ).

fof(f7129,plain,
    ( spl154_316
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_420
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f7128,f7083,f3728,f2998,f2055,f2791]) ).

fof(f7128,plain,
    ( e2 = unit
    | ~ spl154_177
    | ~ spl154_352
    | ~ spl154_420
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f7127,f7087]) ).

fof(f7112,plain,
    ( spl154_136
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_353
    | ~ spl154_441 ),
    inference(avatar_split_clause,[],[f7111,f7083,f3009,f2998,f1934,f1869]) ).

fof(f7111,plain,
    ( e2 = e3
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_353
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f7110,f1936]) ).

fof(f7110,plain,
    ( e2 = op(e3,unit)
    | ~ spl154_352
    | ~ spl154_353
    | ~ spl154_441 ),
    inference(forward_demodulation,[],[f3010,f7087]) ).

fof(f7109,plain,
    ( spl154_177
    | spl154_353
    | spl154_133
    | spl154_137
    | spl154_136
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(avatar_split_clause,[],[f6926,f2998,f1934,f1884,f1869,f1874,f1854,f3009,f2055]) ).

fof(f6926,plain,
    ( e2 = e3
    | e2 = e4
    | e1 = e2
    | e2 = op(e3,e4)
    | e2 = op(e3,e1)
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6925,f1936]) ).

fof(f6925,plain,
    ( e2 = op(e3,unit)
    | e2 = e4
    | e1 = e2
    | e2 = op(e3,e4)
    | e2 = op(e3,e1)
    | ~ spl154_139
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f6924,f1885]) ).

fof(f6924,plain,
    ( e2 = e4
    | e1 = e2
    | e2 = op(e3,e4)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl154_352 ),
    inference(forward_demodulation,[],[f1105,f3000]) ).

fof(f1105,plain,
    ( e1 = e2
    | e2 = op(e3,e4)
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(forward_demodulation,[],[f929,f1100]) ).

fof(f929,plain,
    ( e2 = op(e3,e4)
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f7096,plain,
    ( spl154_428
    | spl154_221
    | spl154_135
    | spl154_133
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_417 ),
    inference(avatar_split_clause,[],[f7043,f3461,f2050,f1924,f1884,f1854,f1864,f2290,f4959]) ).

fof(f7043,plain,
    ( e1 = e2
    | e1 = e4
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_417 ),
    inference(duplicate_literal_removal,[],[f7042]) ).

fof(f7042,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = e4
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f7041,f1926]) ).

fof(f7041,plain,
    ( e1 = op(e2,unit)
    | e1 = e2
    | e1 = e4
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f7040,f1885]) ).

fof(f7040,plain,
    ( e1 = e2
    | e1 = e4
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_176
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f7039,f2052]) ).

fof(f7039,plain,
    ( e1 = e4
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f917,f3463]) ).

fof(f7086,plain,
    ( spl154_441
    | ~ spl154_139
    | ~ spl154_383 ),
    inference(avatar_split_clause,[],[f7055,f3147,f1884,f7083]) ).

fof(f7055,plain,
    ( op(e3,e3) = unit
    | ~ spl154_139
    | ~ spl154_383 ),
    inference(forward_demodulation,[],[f3149,f1885]) ).

fof(f3149,plain,
    ( e0 = op(e3,e3)
    | ~ spl154_383 ),
    inference(avatar_component_clause,[],[f3147]) ).

fof(f7031,plain,
    ( spl154_138
    | ~ spl154_352
    | ~ spl154_416 ),
    inference(avatar_split_clause,[],[f6963,f3445,f2998,f1879]) ).

fof(f3445,plain,
    ( spl154_416
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_416])]) ).

fof(f6963,plain,
    ( e3 = e4
    | ~ spl154_352
    | ~ spl154_416 ),
    inference(superposition,[],[f3447,f3000]) ).

fof(f3447,plain,
    ( e3 = op(e3,e3)
    | ~ spl154_416 ),
    inference(avatar_component_clause,[],[f3445]) ).

fof(f6979,plain,
    ( spl154_141
    | spl154_434
    | spl154_315
    | spl154_316
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(avatar_split_clause,[],[f6935,f3064,f3060,f2050,f1924,f1884,f2791,f2787,f6497,f1894]) ).

fof(f6935,plain,
    ( e2 = unit
    | e4 = unit
    | op(e2,e2) = unit
    | e1 = unit
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(duplicate_literal_removal,[],[f6934]) ).

fof(f6934,plain,
    ( e2 = unit
    | e4 = unit
    | op(e2,e2) = unit
    | e1 = unit
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_147
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6933,f1926]) ).

fof(f6933,plain,
    ( unit = op(e2,unit)
    | e4 = unit
    | op(e2,e2) = unit
    | e1 = unit
    | e2 = unit
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6932,f1885]) ).

fof(f6932,plain,
    ( e4 = unit
    | op(e2,e2) = unit
    | e1 = unit
    | e2 = unit
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6931,f1885]) ).

fof(f6931,plain,
    ( e0 = e4
    | op(e2,e2) = unit
    | e1 = unit
    | e2 = unit
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_364
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6930,f3061]) ).

fof(f6930,plain,
    ( op(e2,e2) = unit
    | e1 = unit
    | e2 = unit
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6929,f1885]) ).

fof(f6929,plain,
    ( e1 = unit
    | e2 = unit
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6928,f1885]) ).

fof(f6928,plain,
    ( e0 = e1
    | e2 = unit
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl154_139
    | ~ spl154_176
    | ~ spl154_365 ),
    inference(forward_demodulation,[],[f6591,f3066]) ).

fof(f6978,plain,
    ( ~ spl154_100
    | ~ spl154_440
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f6598,f1884,f6975,f1674]) ).

fof(f1674,plain,
    ( spl154_100
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_100])]) ).

fof(f6975,plain,
    ( spl154_440
  <=> op(e3,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_440])]) ).

fof(f6598,plain,
    ( op(e3,e1) != unit
    | ~ sP16
    | ~ spl154_139 ),
    inference(trivial_inequality_removal,[],[f6597]) ).

fof(f6597,plain,
    ( unit != unit
    | op(e3,e1) != unit
    | ~ sP16
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1083,f1885]) ).

fof(f1083,plain,
    ( e0 != unit
    | op(e3,e1) != unit
    | ~ sP16 ),
    inference(inner_rewriting,[],[f733]) ).

fof(f733,plain,
    ( e0 != unit
    | e0 != op(e3,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ( ( e0 != unit
      & e1 = op(e3,e0) )
    | e0 != op(e3,e1)
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e0 != unit
      & e1 = op(e3,e0) )
    | e0 != op(e3,e1)
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f6896,plain,
    ( spl154_140
    | ~ spl154_139
    | ~ spl154_154
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_417 ),
    inference(avatar_split_clause,[],[f6894,f3461,f3119,f3064,f1959,f1884,f1889]) ).

fof(f6894,plain,
    ( e3 = unit
    | ~ spl154_139
    | ~ spl154_154
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f6893,f1885]) ).

fof(f6893,plain,
    ( e0 = e3
    | ~ spl154_154
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f6892,f1961]) ).

fof(f6892,plain,
    ( e3 = op(e1,e1)
    | ~ spl154_365
    | ~ spl154_377
    | ~ spl154_417 ),
    inference(forward_demodulation,[],[f3120,f6804]) ).

fof(f6804,plain,
    ( e1 = e4
    | ~ spl154_365
    | ~ spl154_417 ),
    inference(superposition,[],[f3066,f3463]) ).

fof(f6838,plain,
    ( spl154_133
    | spl154_137
    | spl154_136
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(avatar_split_clause,[],[f6800,f3137,f3050,f2998,f1934,f1884,f1869,f1874,f1854]) ).

fof(f6800,plain,
    ( e2 = e3
    | e2 = e4
    | e1 = e2
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(duplicate_literal_removal,[],[f6799]) ).

fof(f6799,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = e4
    | e1 = e2
    | ~ spl154_139
    | ~ spl154_149
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(forward_demodulation,[],[f6798,f1936]) ).

fof(f6798,plain,
    ( e2 = op(e3,unit)
    | e2 = e3
    | e2 = e4
    | e1 = e2
    | ~ spl154_139
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(forward_demodulation,[],[f6797,f1885]) ).

fof(f6797,plain,
    ( e2 = e3
    | e2 = e4
    | e1 = e2
    | e2 = op(e3,e0)
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(duplicate_literal_removal,[],[f6796]) ).

fof(f6796,plain,
    ( e2 = e3
    | e2 = e4
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e0)
    | ~ spl154_352
    | ~ spl154_362
    | ~ spl154_381 ),
    inference(forward_demodulation,[],[f6795,f3138]) ).

fof(f6795,plain,
    ( e2 = e4
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl154_352
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f6794,f3000]) ).

fof(f6794,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl154_362 ),
    inference(forward_demodulation,[],[f1105,f3052]) ).

fof(f6836,plain,
    ( ~ spl154_439
    | ~ spl154_139
    | spl154_425 ),
    inference(avatar_split_clause,[],[f6638,f4940,f1884,f6833]) ).

fof(f6638,plain,
    ( unit != op(unit,e4)
    | ~ spl154_139
    | spl154_425 ),
    inference(forward_demodulation,[],[f4942,f1885]) ).

fof(f6777,plain,
    ( spl154_136
    | ~ spl154_177
    | ~ spl154_381 ),
    inference(avatar_split_clause,[],[f6753,f3137,f2055,f1869]) ).

fof(f6753,plain,
    ( e2 = e3
    | ~ spl154_177
    | ~ spl154_381 ),
    inference(superposition,[],[f3138,f2057]) ).

fof(f6736,plain,
    ( ~ spl154_20
    | spl154_134
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_390 ),
    inference(avatar_split_clause,[],[f6715,f3180,f1909,f1884,f1859,f1214]) ).

fof(f1214,plain,
    ( spl154_20
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_20])]) ).

fof(f6715,plain,
    ( e1 = e3
    | ~ sP28
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_390 ),
    inference(trivial_inequality_removal,[],[f6714]) ).

fof(f6714,plain,
    ( e1 != e1
    | e1 = e3
    | ~ sP28
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_390 ),
    inference(forward_demodulation,[],[f6713,f3182]) ).

fof(f6713,plain,
    ( e1 = e3
    | e1 != op(e0,e3)
    | ~ sP28
    | ~ spl154_139
    | ~ spl154_144 ),
    inference(forward_demodulation,[],[f6712,f1911]) ).

fof(f6712,plain,
    ( e3 = op(unit,e1)
    | e1 != op(e0,e3)
    | ~ sP28
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f708,f1885]) ).

fof(f708,plain,
    ( e3 = op(e0,e1)
    | e1 != op(e0,e3)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f290]) ).

fof(f290,plain,
    ( ( e1 != unit
      & e3 = op(e0,e1) )
    | e1 != op(e0,e3)
    | ~ sP28 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( e1 != unit
      & e3 = op(e0,e1) )
    | e1 != op(e0,e3)
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f6693,plain,
    ( spl154_134
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_389 ),
    inference(avatar_split_clause,[],[f6491,f3176,f1909,f1884,f1859]) ).

fof(f6491,plain,
    ( e1 = e3
    | ~ spl154_139
    | ~ spl154_144
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f6415,f1911]) ).

fof(f6415,plain,
    ( e3 = op(unit,e1)
    | ~ spl154_139
    | ~ spl154_389 ),
    inference(superposition,[],[f3177,f1885]) ).

fof(f6633,plain,
    ( spl154_315
    | ~ spl154_139
    | ~ spl154_319
    | ~ spl154_389
    | ~ spl154_420 ),
    inference(avatar_split_clause,[],[f6537,f3728,f3176,f2807,f1884,f2787]) ).

fof(f6537,plain,
    ( e4 = unit
    | ~ spl154_139
    | ~ spl154_319
    | ~ spl154_389
    | ~ spl154_420 ),
    inference(forward_demodulation,[],[f6528,f1885]) ).

fof(f6528,plain,
    ( e0 = e4
    | ~ spl154_319
    | ~ spl154_389
    | ~ spl154_420 ),
    inference(forward_demodulation,[],[f3730,f5752]) ).

fof(f5752,plain,
    ( e0 = op(e3,e1)
    | ~ spl154_319
    | ~ spl154_389 ),
    inference(superposition,[],[f2809,f3177]) ).

fof(f6536,plain,
    ( spl154_438
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_419 ),
    inference(avatar_split_clause,[],[f6265,f3494,f3409,f3078,f6533]) ).

fof(f6265,plain,
    ( unit = op(unit,e2)
    | ~ spl154_368
    | ~ spl154_411
    | ~ spl154_419 ),
    inference(forward_demodulation,[],[f3496,f5777]) ).

fof(f6521,plain,
    ( spl154_408
    | ~ spl154_364
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f6260,f3409,f3078,f3060,f3392]) ).

fof(f6519,plain,
    ( ~ spl154_316
    | ~ spl154_176
    | spl154_407 ),
    inference(avatar_split_clause,[],[f4707,f3387,f2050,f2791]) ).

fof(f4707,plain,
    ( e2 != unit
    | ~ spl154_176
    | spl154_407 ),
    inference(superposition,[],[f3389,f2052]) ).

fof(f6517,plain,
    ( ~ spl154_437
    | ~ spl154_368
    | spl154_378
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f5889,f3409,f3123,f3078,f6514]) ).

fof(f6514,plain,
    ( spl154_437
  <=> e1 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_437])]) ).

fof(f5889,plain,
    ( e1 != op(unit,e3)
    | ~ spl154_368
    | spl154_378
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f3124,f5777]) ).

fof(f3124,plain,
    ( e1 != op(e4,e3)
    | spl154_378 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f6511,plain,
    ( ~ spl154_436
    | ~ spl154_368
    | ~ spl154_411
    | spl154_423 ),
    inference(avatar_split_clause,[],[f5871,f4928,f3409,f3078,f6508]) ).

fof(f5871,plain,
    ( unit != op(unit,e0)
    | ~ spl154_368
    | ~ spl154_411
    | spl154_423 ),
    inference(forward_demodulation,[],[f4930,f5777]) ).

fof(f4930,plain,
    ( op(e4,e0) != unit
    | spl154_423 ),
    inference(avatar_component_clause,[],[f4928]) ).

fof(f6505,plain,
    ( ~ spl154_435
    | ~ spl154_368
    | ~ spl154_411
    | spl154_425 ),
    inference(avatar_split_clause,[],[f5870,f4940,f3409,f3078,f6502]) ).

fof(f5870,plain,
    ( unit != op(e0,unit)
    | ~ spl154_368
    | ~ spl154_411
    | spl154_425 ),
    inference(forward_demodulation,[],[f4942,f5777]) ).

fof(f6500,plain,
    ( ~ spl154_434
    | ~ spl154_139
    | spl154_418 ),
    inference(avatar_split_clause,[],[f3491,f3487,f1884,f6497]) ).

fof(f3491,plain,
    ( op(e2,e2) != unit
    | ~ spl154_139
    | spl154_418 ),
    inference(forward_demodulation,[],[f3488,f1885]) ).

fof(f3488,plain,
    ( e0 != op(e2,e2)
    | spl154_418 ),
    inference(avatar_component_clause,[],[f3487]) ).

fof(f6495,plain,
    ( ~ spl154_66
    | spl154_140
    | ~ spl154_139
    | ~ spl154_147 ),
    inference(avatar_split_clause,[],[f6267,f1924,f1884,f1889,f1473]) ).

fof(f6267,plain,
    ( e3 = unit
    | ~ sP60
    | ~ spl154_139
    | ~ spl154_147 ),
    inference(trivial_inequality_removal,[],[f6266]) ).

fof(f6266,plain,
    ( e2 != e2
    | e3 = unit
    | ~ sP60
    | ~ spl154_139
    | ~ spl154_147 ),
    inference(forward_demodulation,[],[f3483,f1926]) ).

fof(f3483,plain,
    ( e2 != op(e2,unit)
    | e3 = unit
    | ~ sP60
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f3482,f1885]) ).

fof(f3482,plain,
    ( e3 = unit
    | e2 != op(e2,e0)
    | ~ sP60
    | ~ spl154_139 ),
    inference(forward_demodulation,[],[f1499,f1885]) ).

fof(f6259,plain,
    ( spl154_140
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316 ),
    inference(avatar_split_clause,[],[f4156,f2791,f1949,f1919,f1889]) ).

fof(f6257,plain,
    ( ~ spl154_433
    | spl154_358
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(avatar_split_clause,[],[f5860,f3409,f3078,f3032,f6254]) ).

fof(f5860,plain,
    ( unit != op(unit,e1)
    | spl154_358
    | ~ spl154_368
    | ~ spl154_411 ),
    inference(forward_demodulation,[],[f3034,f5777]) ).

fof(f3034,plain,
    ( e4 != op(e4,e1)
    | spl154_358 ),
    inference(avatar_component_clause,[],[f3032]) ).

fof(f6243,plain,
    ( ~ spl154_315
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316
    | spl154_363 ),
    inference(avatar_split_clause,[],[f4321,f3055,f2791,f1949,f1919,f2787]) ).

fof(f3055,plain,
    ( spl154_363
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_363])]) ).

fof(f4321,plain,
    ( e4 != unit
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316
    | spl154_363 ),
    inference(forward_demodulation,[],[f4320,f4074]) ).

fof(f4320,plain,
    ( e4 != op(unit,unit)
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316
    | spl154_363 ),
    inference(forward_demodulation,[],[f4319,f2792]) ).

fof(f4319,plain,
    ( e4 != op(e2,unit)
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_316
    | spl154_363 ),
    inference(forward_demodulation,[],[f3057,f4156]) ).

fof(f3057,plain,
    ( e4 != op(e2,e3)
    | spl154_363 ),
    inference(avatar_component_clause,[],[f3055]) ).

fof(f5852,plain,
    ( spl154_232
    | spl154_130
    | spl154_316
    | spl154_133
    | ~ spl154_145
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f5550,f3078,f2787,f2045,f1914,f1854,f2791,f1839,f2350]) ).

fof(f5550,plain,
    ( e1 = e2
    | e2 = unit
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl154_145
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(duplicate_literal_removal,[],[f5549]) ).

fof(f5549,plain,
    ( e1 = e2
    | e2 = unit
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl154_145
    | ~ spl154_175
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f5548,f2047]) ).

fof(f5548,plain,
    ( e2 = unit
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f5547,f2788]) ).

fof(f5547,plain,
    ( e2 = e4
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f5546,f3079]) ).

fof(f5546,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_145
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f5545,f1916]) ).

fof(f5545,plain,
    ( e2 = op(e1,unit)
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl154_315 ),
    inference(forward_demodulation,[],[f1118,f2788]) ).

fof(f5842,plain,
    ( spl154_140
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_431 ),
    inference(avatar_split_clause,[],[f5567,f5020,f2787,f1944,f1889]) ).

fof(f5567,plain,
    ( e3 = unit
    | ~ spl154_151
    | ~ spl154_315
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f5044,f2788]) ).

fof(f5841,plain,
    ( ~ spl154_119
    | ~ spl154_378
    | spl154_377 ),
    inference(avatar_split_clause,[],[f668,f3119,f3123,f1780]) ).

fof(f1780,plain,
    ( spl154_119
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_119])]) ).

fof(f668,plain,
    ( e3 = op(e4,e1)
    | e1 != op(e4,e3)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f270]) ).

fof(f270,plain,
    ( ( e1 != unit
      & e3 = op(e4,e1) )
    | e1 != op(e4,e3)
    | ~ sP48 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e1 != unit
      & e3 = op(e4,e1) )
    | e1 != op(e4,e3)
    | ~ sP48 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f5839,plain,
    ( ~ spl154_432
    | ~ spl154_315
    | spl154_365 ),
    inference(avatar_split_clause,[],[f5804,f3064,f2787,f5836]) ).

fof(f5804,plain,
    ( e1 != op(e2,unit)
    | ~ spl154_315
    | spl154_365 ),
    inference(forward_demodulation,[],[f3065,f2788]) ).

fof(f3065,plain,
    ( e1 != op(e2,e4)
    | spl154_365 ),
    inference(avatar_component_clause,[],[f3064]) ).

fof(f5794,plain,
    ( ~ spl154_90
    | spl154_366
    | ~ spl154_367 ),
    inference(avatar_split_clause,[],[f5524,f3073,f3069,f1613]) ).

fof(f1613,plain,
    ( spl154_90
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_90])]) ).

fof(f5524,plain,
    ( e4 = op(e2,e0)
    | ~ sP14
    | ~ spl154_367 ),
    inference(trivial_inequality_removal,[],[f5523]) ).

fof(f5523,plain,
    ( e0 != e0
    | e4 = op(e2,e0)
    | ~ sP14
    | ~ spl154_367 ),
    inference(forward_demodulation,[],[f736,f3075]) ).

fof(f736,plain,
    ( e4 = op(e2,e0)
    | e0 != op(e2,e4)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f304]) ).

fof(f304,plain,
    ( ( e0 != unit
      & e4 = op(e2,e0) )
    | e0 != op(e2,e4)
    | ~ sP14 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e0 != unit
      & e4 = op(e2,e0) )
    | e0 != op(e2,e4)
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f5781,plain,
    ( spl154_408
    | ~ spl154_315
    | ~ spl154_364 ),
    inference(avatar_split_clause,[],[f5565,f3060,f2787,f3392]) ).

fof(f5762,plain,
    ( ~ spl154_315
    | ~ spl154_368
    | spl154_411 ),
    inference(avatar_split_clause,[],[f3980,f3409,f3078,f2787]) ).

fof(f3980,plain,
    ( e4 != unit
    | ~ spl154_368
    | spl154_411 ),
    inference(superposition,[],[f3411,f3079]) ).

fof(f3411,plain,
    ( op(e1,e2) != unit
    | spl154_411 ),
    inference(avatar_component_clause,[],[f3409]) ).

fof(f5520,plain,
    ( spl154_129
    | ~ spl154_143
    | ~ spl154_148
    | ~ spl154_390
    | ~ spl154_430 ),
    inference(avatar_split_clause,[],[f5080,f5015,f3180,f1929,f1904,f1834]) ).

fof(f5080,plain,
    ( e0 = e1
    | ~ spl154_143
    | ~ spl154_148
    | ~ spl154_390
    | ~ spl154_430 ),
    inference(forward_demodulation,[],[f5079,f1906]) ).

fof(f5079,plain,
    ( e1 = op(e0,unit)
    | ~ spl154_148
    | ~ spl154_390
    | ~ spl154_430 ),
    inference(forward_demodulation,[],[f3182,f5041]) ).

fof(f5519,plain,
    ( ~ spl154_141
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_364
    | spl154_428
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(avatar_split_clause,[],[f5054,f5020,f5015,f4959,f3060,f1944,f1929,f1894]) ).

fof(f5054,plain,
    ( e1 != unit
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_364
    | spl154_428
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f4960,f5053]) ).

fof(f5053,plain,
    ( op(e2,e1) = unit
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_364
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f3061,f5045]) ).

fof(f5045,plain,
    ( e4 = unit
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f5043,f5041]) ).

fof(f5043,plain,
    ( e3 = e4
    | ~ spl154_151
    | ~ spl154_431 ),
    inference(superposition,[],[f5022,f1946]) ).

fof(f4960,plain,
    ( e1 != op(e2,e1)
    | spl154_428 ),
    inference(avatar_component_clause,[],[f4959]) ).

fof(f5518,plain,
    ( ~ spl154_19
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_389
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(avatar_split_clause,[],[f5494,f5020,f5015,f3176,f1944,f1929,f1209]) ).

fof(f1209,plain,
    ( spl154_19
  <=> sP101 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_19])]) ).

fof(f5494,plain,
    ( ~ sP101
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_389
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(trivial_inequality_removal,[],[f5493]) ).

fof(f5493,plain,
    ( unit != unit
    | ~ sP101
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_389
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f5109,f5473]) ).

fof(f5473,plain,
    ( op(e0,e1) = unit
    | ~ spl154_148
    | ~ spl154_389
    | ~ spl154_430 ),
    inference(forward_demodulation,[],[f3177,f5041]) ).

fof(f5109,plain,
    ( op(e0,e1) != unit
    | ~ sP101
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(trivial_inequality_removal,[],[f5108]) ).

fof(f5108,plain,
    ( unit != unit
    | op(e0,e1) != unit
    | ~ sP101
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f998,f5045]) ).

fof(f998,plain,
    ( e4 != unit
    | op(e0,e1) != unit
    | ~ sP101 ),
    inference(inner_rewriting,[],[f563]) ).

fof(f563,plain,
    ( e4 != unit
    | e4 != op(e0,e1)
    | ~ sP101 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ( ( e4 != unit
      & e1 = op(e0,e4) )
    | e4 != op(e0,e1)
    | ~ sP101 ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e4 != unit
      & e1 = op(e0,e4) )
    | e4 != op(e0,e1)
    | ~ sP101 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).

fof(f5457,plain,
    ( spl154_129
    | ~ spl154_365
    | ~ spl154_367 ),
    inference(avatar_split_clause,[],[f5009,f3073,f3064,f1834]) ).

fof(f5009,plain,
    ( e0 = e1
    | ~ spl154_365
    | ~ spl154_367 ),
    inference(forward_demodulation,[],[f3066,f3075]) ).

fof(f5426,plain,
    ( ~ spl154_63
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_366
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(avatar_split_clause,[],[f5104,f5020,f5015,f3069,f1944,f1929,f1457]) ).

fof(f5104,plain,
    ( ~ sP110
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_366
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(trivial_inequality_removal,[],[f5103]) ).

fof(f5103,plain,
    ( unit != unit
    | ~ sP110
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_366
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f5102,f5045]) ).

fof(f5102,plain,
    ( e4 != unit
    | ~ sP110
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_366
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f5101,f3070]) ).

fof(f5101,plain,
    ( op(e2,e0) != unit
    | ~ sP110
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(trivial_inequality_removal,[],[f5100]) ).

fof(f5100,plain,
    ( unit != unit
    | op(e2,e0) != unit
    | ~ sP110
    | ~ spl154_148
    | ~ spl154_151
    | ~ spl154_430
    | ~ spl154_431 ),
    inference(forward_demodulation,[],[f989,f5045]) ).

fof(f5047,plain,
    ( ~ spl154_119
    | ~ spl154_403
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f5027,f1894,f3367,f1780]) ).

fof(f5027,plain,
    ( op(e4,e3) != unit
    | ~ sP48
    | ~ spl154_141 ),
    inference(trivial_inequality_removal,[],[f5026]) ).

fof(f5026,plain,
    ( unit != unit
    | op(e4,e3) != unit
    | ~ sP48
    | ~ spl154_141 ),
    inference(forward_demodulation,[],[f1051,f1895]) ).

fof(f1051,plain,
    ( e1 != unit
    | op(e4,e3) != unit
    | ~ sP48 ),
    inference(inner_rewriting,[],[f669]) ).

fof(f669,plain,
    ( e1 != unit
    | e1 != op(e4,e3)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f270]) ).

fof(f5025,plain,
    ( spl154_403
    | ~ spl154_141
    | ~ spl154_378 ),
    inference(avatar_split_clause,[],[f5007,f3123,f1894,f3367]) ).

fof(f5007,plain,
    ( op(e4,e3) = unit
    | ~ spl154_141
    | ~ spl154_378 ),
    inference(forward_demodulation,[],[f3125,f1895]) ).

fof(f5024,plain,
    ( ~ spl154_316
    | ~ spl154_369
    | spl154_409 ),
    inference(avatar_split_clause,[],[f3990,f3397,f3082,f2791]) ).

fof(f3990,plain,
    ( e2 != unit
    | ~ spl154_369
    | spl154_409 ),
    inference(superposition,[],[f3399,f3084]) ).

fof(f3399,plain,
    ( op(e1,e4) != unit
    | spl154_409 ),
    inference(avatar_component_clause,[],[f3397]) ).

fof(f5023,plain,
    ( spl154_431
    | ~ spl154_141
    | ~ spl154_377 ),
    inference(avatar_split_clause,[],[f4993,f3119,f1894,f5020]) ).

fof(f4993,plain,
    ( e3 = op(e4,unit)
    | ~ spl154_141
    | ~ spl154_377 ),
    inference(forward_demodulation,[],[f3120,f1895]) ).

fof(f5018,plain,
    ( spl154_430
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_390 ),
    inference(avatar_split_clause,[],[f4979,f3180,f1959,f1909,f1894,f5015]) ).

fof(f4979,plain,
    ( unit = op(unit,e3)
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_390 ),
    inference(forward_demodulation,[],[f4978,f1895]) ).

fof(f4978,plain,
    ( e1 = op(unit,e3)
    | ~ spl154_141
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_390 ),
    inference(forward_demodulation,[],[f3182,f4848]) ).

fof(f4995,plain,
    ( spl154_140
    | ~ spl154_141
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(avatar_split_clause,[],[f4994,f4966,f3119,f1894,f1889]) ).

fof(f4994,plain,
    ( e3 = unit
    | ~ spl154_141
    | ~ spl154_377
    | ~ spl154_429 ),
    inference(forward_demodulation,[],[f4993,f4968]) ).

fof(f4983,plain,
    ( spl154_140
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_389 ),
    inference(avatar_split_clause,[],[f4982,f3176,f1959,f1909,f1904,f1894,f1889]) ).

fof(f4982,plain,
    ( e3 = unit
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_144
    | ~ spl154_154
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f4981,f4848]) ).

fof(f4981,plain,
    ( e0 = e3
    | ~ spl154_141
    | ~ spl154_143
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f4980,f1906]) ).

fof(f4980,plain,
    ( e3 = op(e0,unit)
    | ~ spl154_141
    | ~ spl154_389 ),
    inference(forward_demodulation,[],[f3177,f1895]) ).

fof(f4972,plain,
    ( spl154_389
    | spl154_283
    | spl154_381
    | spl154_377
    | spl154_131 ),
    inference(avatar_split_clause,[],[f1115,f1844,f3119,f3137,f2618,f3176]) ).

fof(f1115,plain,
    ( e0 = e3
    | e3 = op(e4,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1) ),
    inference(forward_demodulation,[],[f912,f1102]) ).

fof(f912,plain,
    ( e3 = op(e4,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f4969,plain,
    ( spl154_429
    | ~ spl154_141
    | ~ spl154_150
    | ~ spl154_369
    | ~ spl154_428 ),
    inference(avatar_split_clause,[],[f4964,f4959,f3082,f1939,f1894,f4966]) ).

fof(f4964,plain,
    ( unit = op(e4,unit)
    | ~ spl154_141
    | ~ spl154_150
    | ~ spl154_369
    | ~ spl154_428 ),
    inference(forward_demodulation,[],[f4963,f4910]) ).

fof(f4910,plain,
    ( e2 = e4
    | ~ spl154_141
    | ~ spl154_150
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f4831,f1941]) ).

fof(f4831,plain,
    ( e2 = op(unit,e4)
    | ~ spl154_141
    | ~ spl154_369 ),
    inference(superposition,[],[f3084,f1895]) ).

fof(f4963,plain,
    ( unit = op(e2,unit)
    | ~ spl154_141
    | ~ spl154_428 ),
    inference(forward_demodulation,[],[f4961,f1895]) ).

fof(f4962,plain,
    ( spl154_318
    | spl154_428
    | spl154_297
    | spl154_129
    | spl154_135
    | ~ spl154_358 ),
    inference(avatar_split_clause,[],[f4769,f3032,f1864,f1834,f2695,f4959,f2802]) ).

fof(f2695,plain,
    ( spl154_297
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_297])]) ).

fof(f4769,plain,
    ( e1 = e4
    | e0 = e1
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e0,e1)
    | ~ spl154_358 ),
    inference(forward_demodulation,[],[f1119,f3033]) ).

fof(f1119,plain,
    ( e0 = e1
    | e1 = op(e4,e1)
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e0,e1) ),
    inference(forward_demodulation,[],[f908,f1102]) ).

fof(f908,plain,
    ( e1 = op(e4,e1)
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f4956,plain,
    ( ~ spl154_10
    | ~ spl154_427
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1074,f1894,f4953,f1163]) ).

fof(f1163,plain,
    ( spl154_10
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_10])]) ).

fof(f1074,plain,
    ( e1 != unit
    | op(e0,e0) != unit
    | ~ sP25 ),
    inference(inner_rewriting,[],[f715]) ).

fof(f715,plain,
    ( e1 != unit
    | op(e0,e0) != e1
    | ~ sP25 ),
    inference(cnf_transformation,[],[f293]) ).

fof(f293,plain,
    ( ( e1 != unit
      & e0 = op(e0,e1) )
    | op(e0,e0) != e1
    | ~ sP25 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e1 != unit
      & e0 = op(e0,e1) )
    | op(e0,e0) != e1
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f4951,plain,
    ( ~ spl154_315
    | ~ spl154_358
    | spl154_404 ),
    inference(avatar_split_clause,[],[f3971,f3372,f3032,f2787]) ).

fof(f3971,plain,
    ( e4 != unit
    | ~ spl154_358
    | spl154_404 ),
    inference(superposition,[],[f3374,f3033]) ).

fof(f3374,plain,
    ( op(e4,e1) != unit
    | spl154_404 ),
    inference(avatar_component_clause,[],[f3372]) ).

fof(f4949,plain,
    ( ~ spl154_20
    | ~ spl154_426
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1071,f1894,f4946,f1214]) ).

fof(f1071,plain,
    ( e1 != unit
    | op(e0,e3) != unit
    | ~ sP28 ),
    inference(inner_rewriting,[],[f709]) ).

fof(f709,plain,
    ( e1 != unit
    | e1 != op(e0,e3)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f290]) ).

fof(f4943,plain,
    ( ~ spl154_24
    | ~ spl154_425
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1070,f1894,f4940,f1234]) ).

fof(f1234,plain,
    ( spl154_24
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_24])]) ).

fof(f1070,plain,
    ( e1 != unit
    | op(e0,e4) != unit
    | ~ sP29 ),
    inference(inner_rewriting,[],[f707]) ).

fof(f707,plain,
    ( e1 != unit
    | e1 != op(e0,e4)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f289,plain,
    ( ( e1 != unit
      & e4 = op(e0,e1) )
    | e1 != op(e0,e4)
    | ~ sP29 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e1 != unit
      & e4 = op(e0,e1) )
    | e1 != op(e0,e4)
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f4937,plain,
    ( ~ spl154_79
    | ~ spl154_424
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1059,f1894,f4934,f1552]) ).

fof(f1552,plain,
    ( spl154_79
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_79])]) ).

fof(f4934,plain,
    ( spl154_424
  <=> op(e3,e0) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_424])]) ).

fof(f1059,plain,
    ( e1 != unit
    | op(e3,e0) != unit
    | ~ sP40 ),
    inference(inner_rewriting,[],[f685]) ).

fof(f685,plain,
    ( e1 != unit
    | e1 != op(e3,e0)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ( ( e1 != unit
      & e0 = op(e3,e1) )
    | e1 != op(e3,e0)
    | ~ sP40 ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( e1 != unit
      & e0 = op(e3,e1) )
    | e1 != op(e3,e0)
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f4931,plain,
    ( ~ spl154_104
    | ~ spl154_423
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1054,f1894,f4928,f1696]) ).

fof(f1696,plain,
    ( spl154_104
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_104])]) ).

fof(f1054,plain,
    ( e1 != unit
    | op(e4,e0) != unit
    | ~ sP45 ),
    inference(inner_rewriting,[],[f675]) ).

fof(f675,plain,
    ( e1 != unit
    | e1 != op(e4,e0)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f273]) ).

fof(f273,plain,
    ( ( e1 != unit
      & e0 = op(e4,e1) )
    | e1 != op(e4,e0)
    | ~ sP45 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e1 != unit
      & e0 = op(e4,e1) )
    | e1 != op(e4,e0)
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f4767,plain,
    ( spl154_297
    | ~ spl154_145
    | ~ spl154_177
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(avatar_split_clause,[],[f4766,f3082,f2787,f2055,f1914,f2695]) ).

fof(f4766,plain,
    ( e1 = op(e3,e1)
    | ~ spl154_145
    | ~ spl154_177
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f2057,f3991]) ).

fof(f3991,plain,
    ( e1 = e2
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(forward_demodulation,[],[f3982,f1916]) ).

fof(f3982,plain,
    ( e2 = op(e1,unit)
    | ~ spl154_315
    | ~ spl154_369 ),
    inference(superposition,[],[f3084,f2788]) ).

fof(f4743,plain,
    ( spl154_347
    | spl154_285
    | spl154_177
    | spl154_130
    | spl154_137
    | ~ spl154_358 ),
    inference(avatar_split_clause,[],[f4064,f3032,f1874,f1839,f2055,f2629,f2972]) ).

fof(f4064,plain,
    ( e2 = e4
    | e0 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl154_358 ),
    inference(forward_demodulation,[],[f1117,f3033]) ).

fof(f1117,plain,
    ( e0 = e2
    | e2 = op(e4,e1)
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1) ),
    inference(forward_demodulation,[],[f910,f1102]) ).

fof(f910,plain,
    ( e2 = op(e4,e1)
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f4742,plain,
    ( ~ spl154_86
    | ~ spl154_291
    | spl154_138 ),
    inference(avatar_split_clause,[],[f1617,f1879,f2663,f1590]) ).

fof(f1590,plain,
    ( spl154_86
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_86])]) ).

fof(f1617,plain,
    ( e3 = e4
    | e2 != op(e2,e4)
    | ~ sP64 ),
    inference(forward_demodulation,[],[f636,f893]) ).

fof(f636,plain,
    ( e4 = op(e2,e2)
    | e2 != op(e2,e4)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,plain,
    ( ( e2 != unit
      & e4 = op(e2,e2) )
    | e2 != op(e2,e4)
    | ~ sP64 ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e2 != unit
      & e4 = op(e2,e2) )
    | e2 != op(e2,e4)
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f4741,plain,
    ( ~ spl154_180
    | spl154_394
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f4353,f3203,f3199,f2072]) ).

fof(f2072,plain,
    ( spl154_180
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_180])]) ).

fof(f4353,plain,
    ( e2 = op(e4,e0)
    | ~ sP22
    | ~ spl154_395 ),
    inference(trivial_inequality_removal,[],[f4352]) ).

fof(f4352,plain,
    ( e0 != e0
    | e2 = op(e4,e0)
    | ~ sP22
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f720,f3205]) ).

fof(f720,plain,
    ( e2 = op(e4,e0)
    | e0 != op(e4,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f296,plain,
    ( ( e0 != unit
      & e2 = op(e4,e0) )
    | e0 != op(e4,e2)
    | ~ sP22 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ( e0 != unit
      & e2 = op(e4,e0) )
    | e0 != op(e4,e2)
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f4709,plain,
    ( ~ spl154_285
    | ~ spl154_176
    | spl154_284 ),
    inference(avatar_split_clause,[],[f2627,f2623,f2050,f2629]) ).

fof(f2623,plain,
    ( spl154_284
  <=> op(e2,e1) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_284])]) ).

fof(f2627,plain,
    ( e2 != op(e2,e1)
    | ~ spl154_176
    | spl154_284 ),
    inference(forward_demodulation,[],[f2625,f2052]) ).

fof(f2625,plain,
    ( op(e2,e1) != op(e2,e3)
    | spl154_284 ),
    inference(avatar_component_clause,[],[f2623]) ).

fof(f4344,plain,
    ( spl154_139
    | ~ spl154_142
    | ~ spl154_145
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316
    | ~ spl154_366
    | ~ spl154_368 ),
    inference(avatar_split_clause,[],[f4318,f3078,f3069,f2791,f1954,f1949,f1919,f1914,f1899,f1884]) ).

fof(f4318,plain,
    ( e0 = unit
    | ~ spl154_142
    | ~ spl154_145
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316
    | ~ spl154_366
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f4317,f4274]) ).

fof(f4274,plain,
    ( e4 = unit
    | ~ spl154_145
    | ~ spl154_146
    | ~ spl154_152
    | ~ spl154_153
    | ~ spl154_316
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f4256,f4158]) ).

fof(f4256,plain,
    ( e1 = e4
    | ~ spl154_145
    | ~ spl154_316
    | ~ spl154_368 ),
    inference(forward_demodulation,[],[f4142,f1916]) ).

fof(f4142,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_316
    | ~ spl154_368 ),
    inference(superposition,[],[f3079,f2792]) ).

fof(f4317,plain,
    ( e0 = e4
    | ~ spl154_142
    | ~ spl154_316
    | ~ spl154_366 ),
    inference(forward_demodulation,[],[f4316,f1901]) ).

fof(f4316,plain,
    ( e4 = op(unit,e0)
    | ~ spl154_316
    | ~ spl154_366 ),
    inference(forward_demodulation,[],[f3070,f2792]) ).

fof(f4273,plain,
    ( spl154_132
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f3711,f3203,f3023,f1849]) ).

fof(f1849,plain,
    ( spl154_132
  <=> e0 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_132])]) ).

fof(f3711,plain,
    ( e0 = e4
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(superposition,[],[f3024,f3205]) ).

fof(f4272,plain,
    ( ~ spl154_91
    | spl154_129
    | ~ spl154_350 ),
    inference(avatar_split_clause,[],[f4068,f2987,f1834,f1620]) ).

fof(f1620,plain,
    ( spl154_91
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_91])]) ).

fof(f4068,plain,
    ( e0 = e1
    | ~ sP65
    | ~ spl154_350 ),
    inference(trivial_inequality_removal,[],[f4067]) ).

fof(f4067,plain,
    ( e2 != e2
    | e0 = e1
    | ~ sP65
    | ~ spl154_350 ),
    inference(forward_demodulation,[],[f1649,f2988]) ).

fof(f2988,plain,
    ( e2 = op(e3,e0)
    | ~ spl154_350 ),
    inference(avatar_component_clause,[],[f2987]) ).

fof(f1649,plain,
    ( e0 = e1
    | e2 != op(e3,e0)
    | ~ sP65 ),
    inference(forward_demodulation,[],[f634,f1100]) ).

fof(f634,plain,
    ( e0 = op(e3,e2)
    | e2 != op(e3,e0)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f253]) ).

fof(f253,plain,
    ( ( e2 != unit
      & e0 = op(e3,e2) )
    | e2 != op(e3,e0)
    | ~ sP65 ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e2 != unit
      & e0 = op(e3,e2) )
    | e2 != op(e3,e0)
    | ~ sP65 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f4058,plain,
    ( spl154_141
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_369
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f4051,f3203,f3082,f3069,f3023,f2787,f1914,f1894]) ).

fof(f4051,plain,
    ( e1 = unit
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_369
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f4050,f3951]) ).

fof(f3951,plain,
    ( e0 = unit
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3863,f3844]) ).

fof(f3844,plain,
    ( unit = op(unit,e2)
    | ~ spl154_315
    | ~ spl154_356 ),
    inference(superposition,[],[f3024,f2788]) ).

fof(f3863,plain,
    ( e0 = op(unit,e2)
    | ~ spl154_315
    | ~ spl154_395 ),
    inference(superposition,[],[f3205,f2788]) ).

fof(f4050,plain,
    ( e0 = e1
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_369
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f4049,f3711]) ).

fof(f4049,plain,
    ( e1 = e4
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_369
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f4048,f1916]) ).

fof(f4048,plain,
    ( e4 = op(e1,unit)
    | ~ spl154_145
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_369
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f4047,f3991]) ).

fof(f4047,plain,
    ( e4 = op(e2,unit)
    | ~ spl154_315
    | ~ spl154_356
    | ~ spl154_366
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3070,f3951]) ).

fof(f4031,plain,
    ( ~ spl154_5
    | spl154_402 ),
    inference(avatar_split_clause,[],[f514,f3363,f1142]) ).

fof(f3363,plain,
    ( spl154_402
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_402])]) ).

fof(f514,plain,
    ( sP23
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f3994,plain,
    ( spl154_396
    | spl154_280
    | spl154_350
    | spl154_397
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f3755,f3203,f3023,f3213,f2987,f2602,f3208]) ).

fof(f3208,plain,
    ( spl154_396
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_396])]) ).

fof(f3755,plain,
    ( op(e0,e0) = e2
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(duplicate_literal_removal,[],[f3754]) ).

fof(f3754,plain,
    ( op(e0,e0) = e2
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | ~ spl154_356
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f900,f3711]) ).

fof(f3953,plain,
    ( ~ spl154_71
    | spl154_134
    | ~ spl154_285 ),
    inference(avatar_split_clause,[],[f3753,f2629,f1859,f1502]) ).

fof(f1502,plain,
    ( spl154_71
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_71])]) ).

fof(f3753,plain,
    ( e1 = e3
    | ~ sP61
    | ~ spl154_285 ),
    inference(trivial_inequality_removal,[],[f3752]) ).

fof(f3752,plain,
    ( e2 != e2
    | e1 = e3
    | ~ sP61
    | ~ spl154_285 ),
    inference(forward_demodulation,[],[f1531,f2630]) ).

fof(f1531,plain,
    ( e1 = e3
    | e2 != op(e2,e1)
    | ~ sP61 ),
    inference(forward_demodulation,[],[f642,f893]) ).

fof(f642,plain,
    ( e1 = op(e2,e2)
    | e2 != op(e2,e1)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ( ( e2 != unit
      & e1 = op(e2,e2) )
    | e2 != op(e2,e1)
    | ~ sP61 ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e2 != unit
      & e1 = op(e2,e2) )
    | e2 != op(e2,e1)
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f3767,plain,
    ( ~ spl154_7
    | spl154_422 ),
    inference(avatar_split_clause,[],[f465,f3764,f1150]) ).

fof(f1150,plain,
    ( spl154_7
  <=> sP127 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_7])]) ).

fof(f3764,plain,
    ( spl154_422
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_422])]) ).

fof(f465,plain,
    ( sP74
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ( ( sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50 )
    | ~ sP127 ),
    inference(nnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( sP74
      & sP73
      & sP72
      & sP71
      & sP70
      & sP69
      & sP68
      & sP67
      & sP66
      & sP65
      & sP64
      & sP63
      & sP62
      & sP61
      & sP60
      & sP59
      & sP58
      & sP57
      & sP56
      & sP55
      & sP54
      & sP53
      & sP52
      & sP51
      & sP50 )
    | ~ sP127 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).

fof(f3750,plain,
    ( ~ spl154_140
    | ~ spl154_362
    | spl154_405 ),
    inference(avatar_split_clause,[],[f3458,f3377,f3050,f1889]) ).

fof(f3458,plain,
    ( e3 != unit
    | ~ spl154_362
    | spl154_405 ),
    inference(superposition,[],[f3379,f3052]) ).

fof(f3379,plain,
    ( op(e3,e4) != unit
    | spl154_405 ),
    inference(avatar_component_clause,[],[f3377]) ).

fof(f3739,plain,
    ( spl154_370
    | spl154_368
    | spl154_385
    | spl154_421
    | spl154_132 ),
    inference(avatar_split_clause,[],[f1114,f1849,f3736,f3157,f3078,f3087]) ).

fof(f1114,plain,
    ( e0 = e4
    | e4 = op(e1,e4)
    | e4 = op(e1,e3)
    | e4 = op(e1,e2)
    | e4 = op(e1,e0) ),
    inference(forward_demodulation,[],[f913,f1102]) ).

fof(f913,plain,
    ( e4 = op(e1,e4)
    | e4 = op(e1,e3)
    | e4 = op(e1,e2)
    | e4 = op(e1,e1)
    | e4 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3731,plain,
    ( spl154_373
    | spl154_364
    | spl154_420
    | spl154_358
    | spl154_132 ),
    inference(avatar_split_clause,[],[f1113,f1849,f3032,f3728,f3060,f3101]) ).

fof(f1113,plain,
    ( e0 = e4
    | e4 = op(e4,e1)
    | e4 = op(e3,e1)
    | e4 = op(e2,e1)
    | e4 = op(e0,e1) ),
    inference(forward_demodulation,[],[f914,f1102]) ).

fof(f914,plain,
    ( e4 = op(e4,e1)
    | e4 = op(e3,e1)
    | e4 = op(e2,e1)
    | e4 = op(e1,e1)
    | e4 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3654,plain,
    ( ~ spl154_66
    | spl154_131
    | ~ spl154_280 ),
    inference(avatar_split_clause,[],[f3499,f2602,f1844,f1473]) ).

fof(f3499,plain,
    ( e0 = e3
    | ~ sP60
    | ~ spl154_280 ),
    inference(trivial_inequality_removal,[],[f3498]) ).

fof(f3498,plain,
    ( e2 != e2
    | e0 = e3
    | ~ sP60
    | ~ spl154_280 ),
    inference(forward_demodulation,[],[f1499,f2603]) ).

fof(f2603,plain,
    ( e2 = op(e2,e0)
    | ~ spl154_280 ),
    inference(avatar_component_clause,[],[f2602]) ).

fof(f3497,plain,
    ( spl154_419
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(avatar_split_clause,[],[f3492,f3203,f1884,f3494]) ).

fof(f3492,plain,
    ( op(e4,e2) = unit
    | ~ spl154_139
    | ~ spl154_395 ),
    inference(forward_demodulation,[],[f3205,f1885]) ).

fof(f3490,plain,
    ( spl154_398
    | spl154_268
    | spl154_418
    | spl154_395
    | spl154_129 ),
    inference(avatar_split_clause,[],[f1112,f1834,f3203,f3487,f2538,f3217]) ).

fof(f1112,plain,
    ( e0 = e1
    | e0 = op(e4,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(forward_demodulation,[],[f916,f1100]) ).

fof(f916,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3481,plain,
    ( spl154_137
    | ~ spl154_176
    | ~ spl154_363 ),
    inference(avatar_split_clause,[],[f3480,f3055,f2050,f1874]) ).

fof(f3480,plain,
    ( e2 = e4
    | ~ spl154_176
    | ~ spl154_363 ),
    inference(forward_demodulation,[],[f2052,f3056]) ).

fof(f3056,plain,
    ( e4 = op(e2,e3)
    | ~ spl154_363 ),
    inference(avatar_component_clause,[],[f3055]) ).

fof(f3477,plain,
    ( spl154_280
    | spl154_285
    | spl154_176
    | spl154_291
    | spl154_136 ),
    inference(avatar_split_clause,[],[f1111,f1869,f2663,f2050,f2629,f2602]) ).

fof(f1111,plain,
    ( e2 = e3
    | e2 = op(e2,e4)
    | e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(forward_demodulation,[],[f919,f893]) ).

fof(f919,plain,
    ( e2 = op(e2,e4)
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3464,plain,
    ( spl154_366
    | spl154_364
    | spl154_363
    | spl154_417
    | spl154_138 ),
    inference(avatar_split_clause,[],[f1108,f1879,f3461,f3055,f3060,f3069]) ).

fof(f1108,plain,
    ( e3 = e4
    | e4 = op(e2,e4)
    | e4 = op(e2,e3)
    | e4 = op(e2,e1)
    | e4 = op(e2,e0) ),
    inference(forward_demodulation,[],[f923,f893]) ).

fof(f923,plain,
    ( e4 = op(e2,e4)
    | e4 = op(e2,e3)
    | e4 = op(e2,e2)
    | e4 = op(e2,e1)
    | e4 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3448,plain,
    ( spl154_382
    | spl154_381
    | spl154_416
    | spl154_362
    | spl154_134 ),
    inference(avatar_split_clause,[],[f1104,f1859,f3050,f3445,f3137,f3143]) ).

fof(f1104,plain,
    ( e1 = e3
    | e3 = op(e3,e4)
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(forward_demodulation,[],[f931,f1100]) ).

fof(f931,plain,
    ( e3 = op(e3,e4)
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3441,plain,
    ( spl154_413
    | spl154_414
    | spl154_415
    | spl154_133
    | spl154_136 ),
    inference(avatar_split_clause,[],[f1110,f1869,f1854,f3438,f3434,f3430]) ).

fof(f1110,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e4,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(forward_demodulation,[],[f1109,f893]) ).

fof(f1109,plain,
    ( e1 = e2
    | e2 = op(e4,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(forward_demodulation,[],[f920,f1100]) ).

fof(f920,plain,
    ( e2 = op(e4,e2)
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3418,plain,
    ( spl154_371
    | spl154_368
    | spl154_356
    | spl154_135
    | spl154_138 ),
    inference(avatar_split_clause,[],[f1107,f1879,f1864,f3023,f3078,f3092]) ).

fof(f1107,plain,
    ( e3 = e4
    | e1 = e4
    | e4 = op(e4,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2) ),
    inference(forward_demodulation,[],[f1106,f893]) ).

fof(f1106,plain,
    ( e1 = e4
    | e4 = op(e4,e2)
    | e4 = op(e2,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2) ),
    inference(forward_demodulation,[],[f924,f1100]) ).

fof(f924,plain,
    ( e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3417,plain,
    ( ~ spl154_14
    | ~ spl154_412
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1099,f1884,f3414,f1183]) ).

fof(f1183,plain,
    ( spl154_14
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_14])]) ).

fof(f1099,plain,
    ( e0 != unit
    | unit != op(unit,unit)
    | ~ sP0 ),
    inference(inner_rewriting,[],[f765]) ).

fof(f765,plain,
    ( e0 != unit
    | e0 != op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f318]) ).

fof(f318,plain,
    ( ( e0 != unit
      & e0 = op(e0,e0) )
    | e0 != op(e0,e0)
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( e0 != unit
      & e0 = op(e0,e0) )
    | e0 != op(e0,e0)
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f3412,plain,
    ( ~ spl154_55
    | ~ spl154_411
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1092,f1884,f3409,f1415]) ).

fof(f1415,plain,
    ( spl154_55
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_55])]) ).

fof(f1092,plain,
    ( e0 != unit
    | op(e1,e2) != unit
    | ~ sP7 ),
    inference(inner_rewriting,[],[f751]) ).

fof(f751,plain,
    ( e0 != unit
    | e0 != op(e1,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ( ( e0 != unit
      & e2 = op(e1,e0) )
    | e0 != op(e1,e2)
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( e0 != unit
      & e2 = op(e1,e0) )
    | e0 != op(e1,e2)
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f3407,plain,
    ( ~ spl154_60
    | ~ spl154_410
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1091,f1884,f3404,f1441]) ).

fof(f1441,plain,
    ( spl154_60
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_60])]) ).

fof(f1091,plain,
    ( e0 != unit
    | op(e1,e3) != unit
    | ~ sP8 ),
    inference(inner_rewriting,[],[f749]) ).

fof(f749,plain,
    ( e0 != unit
    | e0 != op(e1,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,plain,
    ( ( e0 != unit
      & e3 = op(e1,e0) )
    | e0 != op(e1,e3)
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( e0 != unit
      & e3 = op(e1,e0) )
    | e0 != op(e1,e3)
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f3400,plain,
    ( ~ spl154_65
    | ~ spl154_409
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1090,f1884,f3397,f1468]) ).

fof(f1468,plain,
    ( spl154_65
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_65])]) ).

fof(f1090,plain,
    ( e0 != unit
    | op(e1,e4) != unit
    | ~ sP9 ),
    inference(inner_rewriting,[],[f747]) ).

fof(f747,plain,
    ( e0 != unit
    | e0 != op(e1,e4)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f309,plain,
    ( ( e0 != unit
      & e4 = op(e1,e0) )
    | e0 != op(e1,e4)
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e0 != unit
      & e4 = op(e1,e0) )
    | e0 != op(e1,e4)
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f3395,plain,
    ( ~ spl154_75
    | ~ spl154_408
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1088,f1884,f3392,f1527]) ).

fof(f1527,plain,
    ( spl154_75
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_75])]) ).

fof(f1088,plain,
    ( e0 != unit
    | op(e2,e1) != unit
    | ~ sP11 ),
    inference(inner_rewriting,[],[f743]) ).

fof(f743,plain,
    ( e0 != unit
    | e0 != op(e2,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,plain,
    ( ( e0 != unit
      & e1 = op(e2,e0) )
    | e0 != op(e2,e1)
    | ~ sP11 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e0 != unit
      & e1 = op(e2,e0) )
    | e0 != op(e2,e1)
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f3390,plain,
    ( ~ spl154_85
    | ~ spl154_407
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1086,f1884,f3387,f1584]) ).

fof(f1584,plain,
    ( spl154_85
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_85])]) ).

fof(f1086,plain,
    ( e0 != unit
    | op(e2,e3) != unit
    | ~ sP13 ),
    inference(inner_rewriting,[],[f739]) ).

fof(f739,plain,
    ( e0 != unit
    | e0 != op(e2,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f305]) ).

fof(f305,plain,
    ( ( e0 != unit
      & e3 = op(e2,e0) )
    | e0 != op(e2,e3)
    | ~ sP13 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e0 != unit
      & e3 = op(e2,e0) )
    | e0 != op(e2,e3)
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f3385,plain,
    ( ~ spl154_90
    | ~ spl154_406
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1085,f1884,f3382,f1613]) ).

fof(f1085,plain,
    ( e0 != unit
    | op(e2,e4) != unit
    | ~ sP14 ),
    inference(inner_rewriting,[],[f737]) ).

fof(f737,plain,
    ( e0 != unit
    | e0 != op(e2,e4)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f304]) ).

fof(f3380,plain,
    ( ~ spl154_115
    | ~ spl154_405
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1080,f1884,f3377,f1758]) ).

fof(f1758,plain,
    ( spl154_115
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_115])]) ).

fof(f1080,plain,
    ( e0 != unit
    | op(e3,e4) != unit
    | ~ sP19 ),
    inference(inner_rewriting,[],[f727]) ).

fof(f727,plain,
    ( e0 != unit
    | e0 != op(e3,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f299]) ).

fof(f299,plain,
    ( ( e0 != unit
      & e4 = op(e3,e0) )
    | e0 != op(e3,e4)
    | ~ sP19 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( e0 != unit
      & e4 = op(e3,e0) )
    | e0 != op(e3,e4)
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f3375,plain,
    ( ~ spl154_125
    | ~ spl154_404
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1078,f1884,f3372,f1812]) ).

fof(f1812,plain,
    ( spl154_125
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_125])]) ).

fof(f1078,plain,
    ( e0 != unit
    | op(e4,e1) != unit
    | ~ sP21 ),
    inference(inner_rewriting,[],[f723]) ).

fof(f723,plain,
    ( e0 != unit
    | e0 != op(e4,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f297]) ).

fof(f297,plain,
    ( ( e0 != unit
      & e1 = op(e4,e0) )
    | e0 != op(e4,e1)
    | ~ sP21 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( e0 != unit
      & e1 = op(e4,e0) )
    | e0 != op(e4,e1)
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f3370,plain,
    ( ~ spl154_402
    | ~ spl154_403
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1076,f1884,f3367,f3363]) ).

fof(f1076,plain,
    ( e0 != unit
    | op(e4,e3) != unit
    | ~ sP23 ),
    inference(inner_rewriting,[],[f719]) ).

fof(f719,plain,
    ( e0 != unit
    | e0 != op(e4,e3)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ( ( e0 != unit
      & e3 = op(e4,e0) )
    | e0 != op(e4,e3)
    | ~ sP23 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( e0 != unit
      & e3 = op(e4,e0) )
    | e0 != op(e4,e3)
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f3235,plain,
    ( spl154_139
    | spl154_141
    | spl154_316
    | spl154_140
    | spl154_315 ),
    inference(avatar_split_clause,[],[f790,f2787,f1889,f2791,f1894,f1884]) ).

fof(f790,plain,
    ( e4 = unit
    | e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f3234,plain,
    ( ~ spl154_85
    | ~ spl154_401
    | spl154_278 ),
    inference(avatar_split_clause,[],[f738,f2591,f3231,f1584]) ).

fof(f738,plain,
    ( e3 = op(e2,e0)
    | e0 != op(e2,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f305]) ).

fof(f3229,plain,
    ( ~ spl154_115
    | ~ spl154_399
    | spl154_400 ),
    inference(avatar_split_clause,[],[f726,f3226,f3222,f1758]) ).

fof(f726,plain,
    ( e4 = op(e3,e0)
    | e0 != op(e3,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f299]) ).

fof(f3220,plain,
    ( ~ spl154_16
    | ~ spl154_397
    | spl154_398 ),
    inference(avatar_split_clause,[],[f664,f3217,f3213,f1194]) ).

fof(f1194,plain,
    ( spl154_16
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_16])]) ).

fof(f664,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2
    | ~ sP50 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ( ( e2 != unit
      & e0 = op(e0,e2) )
    | op(e0,e0) != e2
    | ~ sP50 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e2 != unit
      & e0 = op(e0,e2) )
    | op(e0,e0) != e2
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f3211,plain,
    ( ~ spl154_41
    | ~ spl154_396
    | spl154_268 ),
    inference(avatar_split_clause,[],[f654,f2538,f3208,f1326]) ).

fof(f1326,plain,
    ( spl154_41
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_41])]) ).

fof(f654,plain,
    ( e0 = op(e1,e2)
    | e2 != op(e1,e0)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f263]) ).

fof(f263,plain,
    ( ( e2 != unit
      & e0 = op(e1,e2) )
    | e2 != op(e1,e0)
    | ~ sP55 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( e2 != unit
      & e0 = op(e1,e2) )
    | e2 != op(e1,e0)
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f3206,plain,
    ( ~ spl154_116
    | ~ spl154_394
    | spl154_395 ),
    inference(avatar_split_clause,[],[f624,f3203,f3199,f1764]) ).

fof(f1764,plain,
    ( spl154_116
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_116])]) ).

fof(f624,plain,
    ( e0 = op(e4,e2)
    | e2 != op(e4,e0)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f248,plain,
    ( ( e2 != unit
      & e0 = op(e4,e2) )
    | e2 != op(e4,e0)
    | ~ sP70 ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e2 != unit
      & e0 = op(e4,e2) )
    | e2 != op(e4,e0)
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f3197,plain,
    ( ~ spl154_121
    | ~ spl154_393
    | spl154_225 ),
    inference(avatar_split_clause,[],[f622,f2313,f3194,f1790]) ).

fof(f1790,plain,
    ( spl154_121
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_121])]) ).

fof(f622,plain,
    ( e1 = op(e4,e2)
    | e2 != op(e4,e1)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ( ( e2 != unit
      & e1 = op(e4,e2) )
    | e2 != op(e4,e1)
    | ~ sP71 ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e2 != unit
      & e1 = op(e4,e2) )
    | e2 != op(e4,e1)
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f3192,plain,
    ( ~ spl154_12
    | ~ spl154_391
    | spl154_392 ),
    inference(avatar_split_clause,[],[f614,f3189,f3185,f1173]) ).

fof(f1173,plain,
    ( spl154_12
  <=> sP75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_12])]) ).

fof(f614,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP75 ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ( ( e3 != unit
      & e0 = op(e0,e3) )
    | op(e0,e0) != e3
    | ~ sP75 ),
    inference(nnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e3 != unit
      & e0 = op(e0,e3) )
    | op(e0,e0) != e3
    | ~ sP75 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f3183,plain,
    ( ~ spl154_13
    | ~ spl154_389
    | spl154_390 ),
    inference(avatar_split_clause,[],[f612,f3180,f3176,f1178]) ).

fof(f1178,plain,
    ( spl154_13
  <=> sP76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_13])]) ).

fof(f612,plain,
    ( e1 = op(e0,e3)
    | e3 != op(e0,e1)
    | ~ sP76 ),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ( ( e3 != unit
      & e1 = op(e0,e3) )
    | e3 != op(e0,e1)
    | ~ sP76 ),
    inference(nnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e3 != unit
      & e1 = op(e0,e3) )
    | e3 != op(e0,e1)
    | ~ sP76 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f3174,plain,
    ( ~ spl154_27
    | ~ spl154_387
    | spl154_388 ),
    inference(avatar_split_clause,[],[f606,f3171,f3167,f1250]) ).

fof(f1250,plain,
    ( spl154_27
  <=> sP79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_27])]) ).

fof(f606,plain,
    ( e4 = op(e0,e3)
    | e3 != op(e0,e4)
    | ~ sP79 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f239,plain,
    ( ( e3 != unit
      & e4 = op(e0,e3) )
    | e3 != op(e0,e4)
    | ~ sP79 ),
    inference(nnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e3 != unit
      & e4 = op(e0,e3) )
    | e3 != op(e0,e4)
    | ~ sP79 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f3165,plain,
    ( ~ spl154_32
    | ~ spl154_386
    | spl154_270 ),
    inference(avatar_split_clause,[],[f604,f2549,f3162,f1277]) ).

fof(f1277,plain,
    ( spl154_32
  <=> sP80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_32])]) ).

fof(f604,plain,
    ( e0 = op(e1,e3)
    | e3 != op(e1,e0)
    | ~ sP80 ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ( ( e3 != unit
      & e0 = op(e1,e3) )
    | e3 != op(e1,e0)
    | ~ sP80 ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e3 != unit
      & e0 = op(e1,e3) )
    | e3 != op(e1,e0)
    | ~ sP80 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f3160,plain,
    ( ~ spl154_52
    | ~ spl154_384
    | spl154_385 ),
    inference(avatar_split_clause,[],[f596,f3157,f3153,f1394]) ).

fof(f1394,plain,
    ( spl154_52
  <=> sP84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_52])]) ).

fof(f596,plain,
    ( e4 = op(e1,e3)
    | e3 != op(e1,e4)
    | ~ sP84 ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ( ( e3 != unit
      & e4 = op(e1,e3) )
    | e3 != op(e1,e4)
    | ~ sP84 ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e3 != unit
      & e4 = op(e1,e3) )
    | e3 != op(e1,e4)
    | ~ sP84 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).

fof(f3150,plain,
    ( ~ spl154_82
    | ~ spl154_382
    | spl154_383 ),
    inference(avatar_split_clause,[],[f584,f3147,f3143,f1567]) ).

fof(f1567,plain,
    ( spl154_82
  <=> sP90 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_82])]) ).

fof(f584,plain,
    ( e0 = op(e3,e3)
    | e3 != op(e3,e0)
    | ~ sP90 ),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ( ( e3 != unit
      & e0 = op(e3,e3) )
    | e3 != op(e3,e0)
    | ~ sP90 ),
    inference(nnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e3 != unit
      & e0 = op(e3,e3) )
    | e3 != op(e3,e0)
    | ~ sP90 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).

fof(f3140,plain,
    ( ~ spl154_87
    | ~ spl154_381
    | spl154_301 ),
    inference(avatar_split_clause,[],[f582,f2716,f3137,f1596]) ).

fof(f1596,plain,
    ( spl154_87
  <=> sP91 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_87])]) ).

fof(f2716,plain,
    ( spl154_301
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_301])]) ).

fof(f582,plain,
    ( e1 = op(e3,e3)
    | e3 != op(e3,e1)
    | ~ sP91 ),
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ( ( e3 != unit
      & e1 = op(e3,e3) )
    | e3 != op(e3,e1)
    | ~ sP91 ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e3 != unit
      & e1 = op(e3,e3) )
    | e3 != op(e3,e1)
    | ~ sP91 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).

fof(f3135,plain,
    ( ~ spl154_107
    | ~ spl154_379
    | spl154_380 ),
    inference(avatar_split_clause,[],[f574,f3132,f3128,f1713]) ).

fof(f1713,plain,
    ( spl154_107
  <=> sP95 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_107])]) ).

fof(f574,plain,
    ( e0 = op(e4,e3)
    | e3 != op(e4,e0)
    | ~ sP95 ),
    inference(cnf_transformation,[],[f223]) ).

fof(f223,plain,
    ( ( e3 != unit
      & e0 = op(e4,e3) )
    | e3 != op(e4,e0)
    | ~ sP95 ),
    inference(nnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e3 != unit
      & e0 = op(e4,e3) )
    | e3 != op(e4,e0)
    | ~ sP95 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).

fof(f3126,plain,
    ( ~ spl154_112
    | ~ spl154_377
    | spl154_378 ),
    inference(avatar_split_clause,[],[f572,f3123,f3119,f1741]) ).

fof(f1741,plain,
    ( spl154_112
  <=> sP96 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_112])]) ).

fof(f572,plain,
    ( e1 = op(e4,e3)
    | e3 != op(e4,e1)
    | ~ sP96 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ( ( e3 != unit
      & e1 = op(e4,e3) )
    | e3 != op(e4,e1)
    | ~ sP96 ),
    inference(nnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e3 != unit
      & e1 = op(e4,e3) )
    | e3 != op(e4,e1)
    | ~ sP96 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).

fof(f3117,plain,
    ( ~ spl154_18
    | ~ spl154_375
    | spl154_376 ),
    inference(avatar_split_clause,[],[f564,f3114,f3110,f1204]) ).

fof(f1204,plain,
    ( spl154_18
  <=> sP100 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_18])]) ).

fof(f564,plain,
    ( e0 = op(e0,e4)
    | op(e0,e0) != e4
    | ~ sP100 ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ( ( e4 != unit
      & e0 = op(e0,e4) )
    | op(e0,e0) != e4
    | ~ sP100 ),
    inference(nnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e4 != unit
      & e0 = op(e0,e4) )
    | op(e0,e0) != e4
    | ~ sP100 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).

fof(f3108,plain,
    ( ~ spl154_19
    | ~ spl154_373
    | spl154_374 ),
    inference(avatar_split_clause,[],[f562,f3105,f3101,f1209]) ).

fof(f562,plain,
    ( e1 = op(e0,e4)
    | e4 != op(e0,e1)
    | ~ sP101 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f3099,plain,
    ( ~ spl154_23
    | ~ spl154_371
    | spl154_372 ),
    inference(avatar_split_clause,[],[f560,f3096,f3092,f1229]) ).

fof(f1229,plain,
    ( spl154_23
  <=> sP102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_23])]) ).

fof(f560,plain,
    ( e2 = op(e0,e4)
    | e4 != op(e0,e2)
    | ~ sP102 ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ( ( e4 != unit
      & e2 = op(e0,e4) )
    | e4 != op(e0,e2)
    | ~ sP102 ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e4 != unit
      & e2 = op(e0,e4) )
    | e4 != op(e0,e2)
    | ~ sP102 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).

fof(f3090,plain,
    ( ~ spl154_38
    | ~ spl154_370
    | spl154_272 ),
    inference(avatar_split_clause,[],[f554,f2560,f3087,f1310]) ).

fof(f1310,plain,
    ( spl154_38
  <=> sP105 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_38])]) ).

fof(f554,plain,
    ( e0 = op(e1,e4)
    | e4 != op(e1,e0)
    | ~ sP105 ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ( ( e4 != unit
      & e0 = op(e1,e4) )
    | e4 != op(e1,e0)
    | ~ sP105 ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e4 != unit
      & e0 = op(e1,e4) )
    | e4 != op(e1,e0)
    | ~ sP105 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).

fof(f3085,plain,
    ( ~ spl154_48
    | ~ spl154_368
    | spl154_369 ),
    inference(avatar_split_clause,[],[f550,f3082,f3078,f1368]) ).

fof(f1368,plain,
    ( spl154_48
  <=> sP107 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_48])]) ).

fof(f550,plain,
    ( e2 = op(e1,e4)
    | e4 != op(e1,e2)
    | ~ sP107 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ( ( e4 != unit
      & e2 = op(e1,e4) )
    | e4 != op(e1,e2)
    | ~ sP107 ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e4 != unit
      & e2 = op(e1,e4) )
    | e4 != op(e1,e2)
    | ~ sP107 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).

fof(f3076,plain,
    ( ~ spl154_63
    | ~ spl154_366
    | spl154_367 ),
    inference(avatar_split_clause,[],[f544,f3073,f3069,f1457]) ).

fof(f544,plain,
    ( e0 = op(e2,e4)
    | e4 != op(e2,e0)
    | ~ sP110 ),
    inference(cnf_transformation,[],[f208]) ).

fof(f3067,plain,
    ( ~ spl154_68
    | ~ spl154_364
    | spl154_365 ),
    inference(avatar_split_clause,[],[f542,f3064,f3060,f1483]) ).

fof(f1483,plain,
    ( spl154_68
  <=> sP111 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_68])]) ).

fof(f542,plain,
    ( e1 = op(e2,e4)
    | e4 != op(e2,e1)
    | ~ sP111 ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ( ( e4 != unit
      & e1 = op(e2,e4) )
    | e4 != op(e2,e1)
    | ~ sP111 ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e4 != unit
      & e1 = op(e2,e4) )
    | e4 != op(e2,e1)
    | ~ sP111 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).

fof(f3058,plain,
    ( ~ spl154_78
    | ~ spl154_363
    | spl154_289 ),
    inference(avatar_split_clause,[],[f538,f2652,f3055,f1547]) ).

fof(f1547,plain,
    ( spl154_78
  <=> sP113 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_78])]) ).

fof(f2652,plain,
    ( spl154_289
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_289])]) ).

fof(f538,plain,
    ( e3 = op(e2,e4)
    | e4 != op(e2,e3)
    | ~ sP113 ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ( ( e4 != unit
      & e3 = op(e2,e4) )
    | e4 != op(e2,e3)
    | ~ sP113 ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e4 != unit
      & e3 = op(e2,e4) )
    | e4 != op(e2,e3)
    | ~ sP113 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).

fof(f3053,plain,
    ( ~ spl154_103
    | ~ spl154_352
    | spl154_362 ),
    inference(avatar_split_clause,[],[f528,f3050,f2998,f1691]) ).

fof(f528,plain,
    ( e3 = op(e3,e4)
    | e4 != op(e3,e3)
    | ~ sP118 ),
    inference(cnf_transformation,[],[f200]) ).

fof(f3048,plain,
    ( ~ spl154_113
    | ~ spl154_360
    | spl154_361 ),
    inference(avatar_split_clause,[],[f524,f3045,f3041,f1747]) ).

fof(f524,plain,
    ( e0 = op(e4,e4)
    | e4 != op(e4,e0)
    | ~ sP120 ),
    inference(cnf_transformation,[],[f198]) ).

fof(f3039,plain,
    ( ~ spl154_118
    | ~ spl154_358
    | spl154_359 ),
    inference(avatar_split_clause,[],[f522,f3036,f3032,f1775]) ).

fof(f1775,plain,
    ( spl154_118
  <=> sP121 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_118])]) ).

fof(f522,plain,
    ( e1 = op(e4,e4)
    | e4 != op(e4,e1)
    | ~ sP121 ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ( ( e4 != unit
      & e1 = op(e4,e4) )
    | e4 != op(e4,e1)
    | ~ sP121 ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e4 != unit
      & e1 = op(e4,e4) )
    | e4 != op(e4,e1)
    | ~ sP121 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).

fof(f3030,plain,
    ( ~ spl154_123
    | ~ spl154_356
    | spl154_357 ),
    inference(avatar_split_clause,[],[f520,f3027,f3023,f1801]) ).

fof(f1801,plain,
    ( spl154_123
  <=> sP122 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_123])]) ).

fof(f520,plain,
    ( e2 = op(e4,e4)
    | e4 != op(e4,e2)
    | ~ sP122 ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ( ( e4 != unit
      & e2 = op(e4,e4) )
    | e4 != op(e4,e2)
    | ~ sP122 ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e4 != unit
      & e2 = op(e4,e4) )
    | e4 != op(e4,e2)
    | ~ sP122 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).

fof(f3021,plain,
    ( ~ spl154_128
    | ~ spl154_354
    | spl154_355 ),
    inference(avatar_split_clause,[],[f518,f3018,f3014,f1829]) ).

fof(f1829,plain,
    ( spl154_128
  <=> sP123 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_128])]) ).

fof(f518,plain,
    ( e3 = op(e4,e4)
    | e4 != op(e4,e3)
    | ~ sP123 ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ( ( e4 != unit
      & e3 = op(e4,e4) )
    | e4 != op(e4,e3)
    | ~ sP123 ),
    inference(nnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e4 != unit
      & e3 = op(e4,e4) )
    | e4 != op(e4,e3)
    | ~ sP123 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).

fof(f3012,plain,
    ( ~ spl154_111
    | ~ spl154_353
    | spl154_135 ),
    inference(avatar_split_clause,[],[f1762,f1864,f3009,f1736]) ).

fof(f1736,plain,
    ( spl154_111
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_111])]) ).

fof(f1762,plain,
    ( e1 = e4
    | e2 != op(e3,e4)
    | ~ sP69 ),
    inference(forward_demodulation,[],[f626,f1100]) ).

fof(f626,plain,
    ( e4 = op(e3,e2)
    | e2 != op(e3,e4)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ( ( e2 != unit
      & e4 = op(e3,e2) )
    | e2 != op(e3,e4)
    | ~ sP69 ),
    inference(nnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e2 != unit
      & e4 = op(e3,e2) )
    | e2 != op(e3,e4)
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f3001,plain,
    ( spl154_352
    | ~ spl154_152
    | ~ spl154_351 ),
    inference(avatar_split_clause,[],[f2996,f2992,f1949,f2998]) ).

fof(f2992,plain,
    ( spl154_351
  <=> e4 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_351])]) ).

fof(f2996,plain,
    ( e4 = op(e3,e3)
    | ~ spl154_152
    | ~ spl154_351 ),
    inference(forward_demodulation,[],[f2994,f1951]) ).

fof(f2994,plain,
    ( e4 = op(op(e2,e2),op(e2,e2))
    | ~ spl154_351 ),
    inference(avatar_component_clause,[],[f2992]) ).

fof(f2995,plain,
    spl154_351,
    inference(avatar_split_clause,[],[f894,f2992]) ).

fof(f894,plain,
    e4 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f2990,plain,
    ( ~ spl154_350
    | ~ spl154_177
    | spl154_292 ),
    inference(avatar_split_clause,[],[f2957,f2668,f2055,f2987]) ).

fof(f2668,plain,
    ( spl154_292
  <=> op(e3,e0) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_292])]) ).

fof(f2957,plain,
    ( e2 != op(e3,e0)
    | ~ spl154_177
    | spl154_292 ),
    inference(superposition,[],[f2670,f2057]) ).

fof(f2670,plain,
    ( op(e3,e0) != op(e3,e1)
    | spl154_292 ),
    inference(avatar_component_clause,[],[f2668]) ).

fof(f2985,plain,
    ( ~ spl154_155
    | ~ spl154_349 ),
    inference(avatar_split_clause,[],[f387,f2982,f1964]) ).

fof(f1964,plain,
    ( spl154_155
  <=> sP131 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_155])]) ).

fof(f387,plain,
    ( e1 != op(op(e0,e1),e0)
    | ~ sP131 ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP131 ),
    inference(nnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP131 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).

fof(f2980,plain,
    ( ~ spl154_165
    | spl154_348 ),
    inference(avatar_split_clause,[],[f350,f2977,f2004]) ).

fof(f2004,plain,
    ( spl154_165
  <=> sP143 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_165])]) ).

fof(f350,plain,
    ( e2 = op(op(e2,e3),e3)
    | ~ sP143 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP143 ),
    inference(nnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP143 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).

fof(f2975,plain,
    ( ~ spl154_347
    | ~ spl154_177
    | spl154_198 ),
    inference(avatar_split_clause,[],[f2955,f2167,f2055,f2972]) ).

fof(f2167,plain,
    ( spl154_198
  <=> op(e0,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_198])]) ).

fof(f2955,plain,
    ( e2 != op(e0,e1)
    | ~ spl154_177
    | spl154_198 ),
    inference(superposition,[],[f2169,f2057]) ).

fof(f2169,plain,
    ( op(e0,e1) != op(e3,e1)
    | spl154_198 ),
    inference(avatar_component_clause,[],[f2167]) ).

fof(f2970,plain,
    ( ~ spl154_165
    | ~ spl154_346
    | ~ spl154_153 ),
    inference(avatar_split_clause,[],[f2887,f1954,f2967,f2004]) ).

fof(f2967,plain,
    ( spl154_346
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_346])]) ).

fof(f2887,plain,
    ( e1 != op(e2,e3)
    | ~ sP143
    | ~ spl154_153 ),
    inference(forward_demodulation,[],[f349,f1956]) ).

fof(f349,plain,
    ( op(e2,e3) != op(e3,e2)
    | ~ sP143 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f2965,plain,
    ( ~ spl154_345
    | ~ spl154_152
    | spl154_287 ),
    inference(avatar_split_clause,[],[f2954,f2639,f1949,f2962]) ).

fof(f2962,plain,
    ( spl154_345
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_345])]) ).

fof(f2639,plain,
    ( spl154_287
  <=> op(e2,e2) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_287])]) ).

fof(f2954,plain,
    ( e3 != op(e2,e3)
    | ~ spl154_152
    | spl154_287 ),
    inference(forward_demodulation,[],[f2641,f1951]) ).

fof(f2641,plain,
    ( op(e2,e2) != op(e2,e3)
    | spl154_287 ),
    inference(avatar_component_clause,[],[f2639]) ).

fof(f2953,plain,
    ( ~ spl154_159
    | spl154_344 ),
    inference(avatar_split_clause,[],[f374,f2950,f1980]) ).

fof(f1980,plain,
    ( spl154_159
  <=> sP135 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_159])]) ).

fof(f374,plain,
    ( e1 = op(op(e1,e0),e0)
    | ~ sP135 ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ( ( e0 != op(op(e1,e0),e1)
      & e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP135 ),
    inference(nnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e0 != op(op(e1,e0),e1)
      & e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP135 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).

fof(f2948,plain,
    ( ~ spl154_174
    | spl154_343 ),
    inference(avatar_split_clause,[],[f320,f2945,f2040]) ).

fof(f2040,plain,
    ( spl154_174
  <=> sP153 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_174])]) ).

fof(f320,plain,
    ( e4 = op(op(e4,e3),e3)
    | ~ sP153 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( ( e3 != op(op(e4,e3),e4)
      & e4 = op(op(e4,e3),e3)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP153 ),
    inference(nnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( ( e3 != op(op(e4,e3),e4)
      & e4 = op(op(e4,e3),e3)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP153 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])]) ).

fof(f2943,plain,
    ( ~ spl154_173
    | spl154_342 ),
    inference(avatar_split_clause,[],[f323,f2940,f2036]) ).

fof(f2036,plain,
    ( spl154_173
  <=> sP152 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_173])]) ).

fof(f323,plain,
    ( e4 = op(op(e4,e2),e2)
    | ~ sP152 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ( e2 != op(op(e4,e2),e4)
      & e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP152 ),
    inference(nnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( ( e2 != op(op(e4,e2),e4)
      & e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP152 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).

fof(f2938,plain,
    ( ~ spl154_172
    | spl154_341 ),
    inference(avatar_split_clause,[],[f326,f2935,f2032]) ).

fof(f326,plain,
    ( e4 = op(op(e4,e1),e1)
    | ~ sP151 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f2933,plain,
    ( ~ spl154_171
    | spl154_340 ),
    inference(avatar_split_clause,[],[f329,f2930,f2028]) ).

fof(f329,plain,
    ( e4 = op(op(e4,e0),e0)
    | ~ sP150 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f2928,plain,
    ( ~ spl154_170
    | spl154_339 ),
    inference(avatar_split_clause,[],[f332,f2925,f2024]) ).

fof(f332,plain,
    ( e3 = op(op(e3,e4),e4)
    | ~ sP149 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f2923,plain,
    ( ~ spl154_170
    | ~ spl154_338 ),
    inference(avatar_split_clause,[],[f331,f2920,f2024]) ).

fof(f2920,plain,
    ( spl154_338
  <=> op(e3,e4) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_338])]) ).

fof(f331,plain,
    ( op(e3,e4) != op(e4,e3)
    | ~ sP149 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f2918,plain,
    ( ~ spl154_169
    | spl154_216
    | ~ spl154_153 ),
    inference(avatar_split_clause,[],[f2916,f1954,f2263,f2020]) ).

fof(f2020,plain,
    ( spl154_169
  <=> sP147 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_169])]) ).

fof(f2916,plain,
    ( e3 = op(e1,e2)
    | ~ sP147
    | ~ spl154_153 ),
    inference(forward_demodulation,[],[f338,f1956]) ).

fof(f338,plain,
    ( e3 = op(op(e3,e2),e2)
    | ~ sP147 ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & e3 = op(op(e3,e2),e2)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP147 ),
    inference(nnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & e3 = op(op(e3,e2),e2)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP147 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).

fof(f2913,plain,
    ( ~ spl154_168
    | spl154_337 ),
    inference(avatar_split_clause,[],[f341,f2910,f2016]) ).

fof(f2016,plain,
    ( spl154_168
  <=> sP146 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_168])]) ).

fof(f341,plain,
    ( e3 = op(op(e3,e1),e1)
    | ~ sP146 ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ( ( e1 != op(op(e3,e1),e3)
      & e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP146 ),
    inference(nnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( e1 != op(op(e3,e1),e3)
      & e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP146 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])]) ).

fof(f2908,plain,
    ( ~ spl154_167
    | spl154_336 ),
    inference(avatar_split_clause,[],[f344,f2905,f2012]) ).

fof(f344,plain,
    ( e3 = op(op(e3,e0),e0)
    | ~ sP145 ),
    inference(cnf_transformation,[],[f173]) ).

fof(f2903,plain,
    ( ~ spl154_166
    | spl154_335 ),
    inference(avatar_split_clause,[],[f347,f2900,f2008]) ).

fof(f347,plain,
    ( e2 = op(op(e2,e4),e4)
    | ~ sP144 ),
    inference(cnf_transformation,[],[f174]) ).

fof(f2898,plain,
    ( ~ spl154_166
    | ~ spl154_334 ),
    inference(avatar_split_clause,[],[f346,f2895,f2008]) ).

fof(f2895,plain,
    ( spl154_334
  <=> op(e2,e4) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_334])]) ).

fof(f346,plain,
    ( op(e2,e4) != op(e4,e2)
    | ~ sP144 ),
    inference(cnf_transformation,[],[f174]) ).

fof(f2893,plain,
    ( ~ spl154_165
    | ~ spl154_152
    | ~ spl154_176 ),
    inference(avatar_split_clause,[],[f2892,f2050,f1949,f2004]) ).

fof(f2892,plain,
    ( ~ sP143
    | ~ spl154_152
    | ~ spl154_176 ),
    inference(trivial_inequality_removal,[],[f2891]) ).

fof(f2891,plain,
    ( e3 != e3
    | ~ sP143
    | ~ spl154_152
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f2890,f1951]) ).

fof(f2890,plain,
    ( e3 != op(e2,e2)
    | ~ sP143
    | ~ spl154_176 ),
    inference(forward_demodulation,[],[f351,f2052]) ).

fof(f351,plain,
    ( e3 != op(op(e2,e3),e2)
    | ~ sP143 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f2886,plain,
    ( ~ spl154_164
    | spl154_333 ),
    inference(avatar_split_clause,[],[f356,f2883,f2000]) ).

fof(f2000,plain,
    ( spl154_164
  <=> sP141 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_164])]) ).

fof(f356,plain,
    ( e2 = op(op(e2,e1),e1)
    | ~ sP141 ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ( e1 != op(op(e2,e1),e2)
      & e2 = op(op(e2,e1),e1)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP141 ),
    inference(nnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e1 != op(op(e2,e1),e2)
      & e2 = op(op(e2,e1),e1)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP141 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).

fof(f2881,plain,
    ( ~ spl154_163
    | spl154_332 ),
    inference(avatar_split_clause,[],[f359,f2878,f1996]) ).

fof(f359,plain,
    ( e2 = op(op(e2,e0),e0)
    | ~ sP140 ),
    inference(cnf_transformation,[],[f178]) ).

fof(f2876,plain,
    ( ~ spl154_162
    | spl154_331 ),
    inference(avatar_split_clause,[],[f362,f2873,f1992]) ).

fof(f362,plain,
    ( e1 = op(op(e1,e4),e4)
    | ~ sP139 ),
    inference(cnf_transformation,[],[f179]) ).

fof(f2871,plain,
    ( ~ spl154_162
    | ~ spl154_330 ),
    inference(avatar_split_clause,[],[f361,f2868,f1992]) ).

fof(f361,plain,
    ( op(e1,e4) != op(e4,e1)
    | ~ sP139 ),
    inference(cnf_transformation,[],[f179]) ).

fof(f2866,plain,
    ( ~ spl154_161
    | spl154_329 ),
    inference(avatar_split_clause,[],[f365,f2863,f1988]) ).

fof(f365,plain,
    ( e1 = op(op(e1,e3),e3)
    | ~ sP138 ),
    inference(cnf_transformation,[],[f180]) ).

fof(f2861,plain,
    ( ~ spl154_161
    | ~ spl154_328 ),
    inference(avatar_split_clause,[],[f364,f2858,f1988]) ).

fof(f364,plain,
    ( op(e1,e3) != op(e3,e1)
    | ~ sP138 ),
    inference(cnf_transformation,[],[f180]) ).

fof(f2856,plain,
    ( ~ spl154_160
    | spl154_327 ),
    inference(avatar_split_clause,[],[f368,f2853,f1984]) ).

fof(f1984,plain,
    ( spl154_160
  <=> sP137 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_160])]) ).

fof(f368,plain,
    ( e1 = op(op(e1,e2),e2)
    | ~ sP137 ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ( ( e2 != op(op(e1,e2),e1)
      & e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP137 ),
    inference(nnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e2 != op(op(e1,e2),e1)
      & e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP137 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).

fof(f2851,plain,
    ( ~ spl154_160
    | ~ spl154_326 ),
    inference(avatar_split_clause,[],[f367,f2848,f1984]) ).

fof(f367,plain,
    ( op(e1,e2) != op(e2,e1)
    | ~ sP137 ),
    inference(cnf_transformation,[],[f181]) ).

fof(f2846,plain,
    ( ~ spl154_159
    | ~ spl154_154
    | ~ spl154_175 ),
    inference(avatar_split_clause,[],[f2845,f2045,f1959,f1980]) ).

fof(f2845,plain,
    ( ~ sP135
    | ~ spl154_154
    | ~ spl154_175 ),
    inference(trivial_inequality_removal,[],[f2844]) ).

fof(f2844,plain,
    ( e0 != e0
    | ~ sP135
    | ~ spl154_154
    | ~ spl154_175 ),
    inference(forward_demodulation,[],[f2843,f1961]) ).

fof(f2843,plain,
    ( e0 != op(e1,e1)
    | ~ sP135
    | ~ spl154_175 ),
    inference(forward_demodulation,[],[f375,f2047]) ).

fof(f375,plain,
    ( e0 != op(op(e1,e0),e1)
    | ~ sP135 ),
    inference(cnf_transformation,[],[f183]) ).

fof(f2840,plain,
    ( ~ spl154_158
    | spl154_325 ),
    inference(avatar_split_clause,[],[f377,f2837,f1976]) ).

fof(f377,plain,
    ( e0 = op(op(e0,e4),e4)
    | ~ sP134 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f2835,plain,
    ( ~ spl154_158
    | ~ spl154_324 ),
    inference(avatar_split_clause,[],[f376,f2832,f1976]) ).

fof(f376,plain,
    ( op(e0,e4) != op(e4,e0)
    | ~ sP134 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f2830,plain,
    ( ~ spl154_157
    | spl154_323 ),
    inference(avatar_split_clause,[],[f380,f2827,f1972]) ).

fof(f380,plain,
    ( e0 = op(op(e0,e3),e3)
    | ~ sP133 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f2825,plain,
    ( ~ spl154_157
    | ~ spl154_322 ),
    inference(avatar_split_clause,[],[f379,f2822,f1972]) ).

fof(f379,plain,
    ( op(e0,e3) != op(e3,e0)
    | ~ sP133 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f2820,plain,
    ( ~ spl154_156
    | spl154_321 ),
    inference(avatar_split_clause,[],[f383,f2817,f1968]) ).

fof(f1968,plain,
    ( spl154_156
  <=> sP132 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_156])]) ).

fof(f383,plain,
    ( e0 = op(op(e0,e2),e2)
    | ~ sP132 ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP132 ),
    inference(nnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP132 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).

fof(f2815,plain,
    ( ~ spl154_156
    | ~ spl154_320 ),
    inference(avatar_split_clause,[],[f382,f2812,f1968]) ).

fof(f382,plain,
    ( op(e0,e2) != op(e2,e0)
    | ~ sP132 ),
    inference(cnf_transformation,[],[f186]) ).

fof(f2810,plain,
    ( ~ spl154_155
    | spl154_319 ),
    inference(avatar_split_clause,[],[f386,f2807,f1964]) ).

fof(f386,plain,
    ( e0 = op(op(e0,e1),e1)
    | ~ sP131 ),
    inference(cnf_transformation,[],[f187]) ).

fof(f2805,plain,
    ( ~ spl154_318
    | ~ spl154_175
    | spl154_317 ),
    inference(avatar_split_clause,[],[f2800,f2796,f2045,f2802]) ).

fof(f2800,plain,
    ( e1 != op(e0,e1)
    | ~ spl154_175
    | spl154_317 ),
    inference(forward_demodulation,[],[f2798,f2047]) ).

fof(f2799,plain,
    ( ~ spl154_155
    | ~ spl154_317 ),
    inference(avatar_split_clause,[],[f385,f2796,f1964]) ).

fof(f385,plain,
    ( op(e0,e1) != op(e1,e0)
    | ~ sP131 ),
    inference(cnf_transformation,[],[f187]) ).

fof(f2794,plain,
    ( ~ spl154_83
    | ~ spl154_315
    | ~ spl154_316 ),
    inference(avatar_split_clause,[],[f1600,f2791,f2787,f1572]) ).

fof(f1572,plain,
    ( spl154_83
  <=> sP114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_83])]) ).

fof(f1600,plain,
    ( e2 != unit
    | e4 != unit
    | ~ sP114 ),
    inference(forward_demodulation,[],[f985,f785]) ).

fof(f785,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f985,plain,
    ( e4 != unit
    | unit != op(e2,unit)
    | ~ sP114 ),
    inference(inner_rewriting,[],[f537]) ).

fof(f537,plain,
    ( e4 != unit
    | e4 != op(e2,e4)
    | ~ sP114 ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ( ( e4 != unit
      & e4 = op(e2,e4) )
    | e4 != op(e2,e4)
    | ~ sP114 ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e4 != unit
      & e4 = op(e2,e4) )
    | e4 != op(e2,e4)
    | ~ sP114 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).

fof(f2785,plain,
    ~ spl154_314,
    inference(avatar_split_clause,[],[f890,f2782]) ).

fof(f2782,plain,
    ( spl154_314
  <=> op(e4,e3) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_314])]) ).

fof(f890,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f2780,plain,
    ~ spl154_313,
    inference(avatar_split_clause,[],[f889,f2777]) ).

fof(f2777,plain,
    ( spl154_313
  <=> op(e4,e2) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_313])]) ).

fof(f889,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2775,plain,
    ~ spl154_312,
    inference(avatar_split_clause,[],[f888,f2772]) ).

fof(f888,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2770,plain,
    ~ spl154_311,
    inference(avatar_split_clause,[],[f887,f2767]) ).

fof(f2767,plain,
    ( spl154_311
  <=> op(e4,e1) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_311])]) ).

fof(f887,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2765,plain,
    ~ spl154_310,
    inference(avatar_split_clause,[],[f886,f2762]) ).

fof(f886,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2760,plain,
    ~ spl154_309,
    inference(avatar_split_clause,[],[f885,f2757]) ).

fof(f2757,plain,
    ( spl154_309
  <=> op(e4,e1) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_309])]) ).

fof(f885,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2755,plain,
    ~ spl154_308,
    inference(avatar_split_clause,[],[f884,f2752]) ).

fof(f2752,plain,
    ( spl154_308
  <=> op(e4,e0) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_308])]) ).

fof(f884,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2750,plain,
    ~ spl154_307,
    inference(avatar_split_clause,[],[f883,f2747]) ).

fof(f2747,plain,
    ( spl154_307
  <=> op(e4,e0) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_307])]) ).

fof(f883,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2745,plain,
    ~ spl154_306,
    inference(avatar_split_clause,[],[f882,f2742]) ).

fof(f2742,plain,
    ( spl154_306
  <=> op(e4,e0) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_306])]) ).

fof(f882,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2740,plain,
    ~ spl154_305,
    inference(avatar_split_clause,[],[f881,f2737]) ).

fof(f881,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2735,plain,
    ~ spl154_304,
    inference(avatar_split_clause,[],[f880,f2732]) ).

fof(f880,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2730,plain,
    ( ~ spl154_303
    | ~ spl154_153
    | spl154_302 ),
    inference(avatar_split_clause,[],[f2725,f2721,f1954,f2727]) ).

fof(f2721,plain,
    ( spl154_302
  <=> op(e3,e2) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_302])]) ).

fof(f2725,plain,
    ( e1 != op(e3,e4)
    | ~ spl154_153
    | spl154_302 ),
    inference(forward_demodulation,[],[f2723,f1956]) ).

fof(f2723,plain,
    ( op(e3,e2) != op(e3,e4)
    | spl154_302 ),
    inference(avatar_component_clause,[],[f2721]) ).

fof(f2724,plain,
    ~ spl154_302,
    inference(avatar_split_clause,[],[f879,f2721]) ).

fof(f879,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2719,plain,
    ( ~ spl154_301
    | ~ spl154_153
    | spl154_300 ),
    inference(avatar_split_clause,[],[f2714,f2710,f1954,f2716]) ).

fof(f2710,plain,
    ( spl154_300
  <=> op(e3,e2) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_300])]) ).

fof(f2714,plain,
    ( e1 != op(e3,e3)
    | ~ spl154_153
    | spl154_300 ),
    inference(forward_demodulation,[],[f2712,f1956]) ).

fof(f2712,plain,
    ( op(e3,e2) != op(e3,e3)
    | spl154_300 ),
    inference(avatar_component_clause,[],[f2710]) ).

fof(f2713,plain,
    ~ spl154_300,
    inference(avatar_split_clause,[],[f878,f2710]) ).

fof(f878,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2708,plain,
    ~ spl154_299,
    inference(avatar_split_clause,[],[f877,f2705]) ).

fof(f2705,plain,
    ( spl154_299
  <=> op(e3,e1) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_299])]) ).

fof(f877,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2703,plain,
    ~ spl154_298,
    inference(avatar_split_clause,[],[f876,f2700]) ).

fof(f876,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2698,plain,
    ( ~ spl154_297
    | ~ spl154_153
    | spl154_296 ),
    inference(avatar_split_clause,[],[f2693,f2689,f1954,f2695]) ).

fof(f2689,plain,
    ( spl154_296
  <=> op(e3,e1) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_296])]) ).

fof(f2693,plain,
    ( e1 != op(e3,e1)
    | ~ spl154_153
    | spl154_296 ),
    inference(forward_demodulation,[],[f2691,f1956]) ).

fof(f2691,plain,
    ( op(e3,e1) != op(e3,e2)
    | spl154_296 ),
    inference(avatar_component_clause,[],[f2689]) ).

fof(f2692,plain,
    ~ spl154_296,
    inference(avatar_split_clause,[],[f875,f2689]) ).

fof(f875,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2687,plain,
    ~ spl154_295,
    inference(avatar_split_clause,[],[f874,f2684]) ).

fof(f2684,plain,
    ( spl154_295
  <=> op(e3,e0) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_295])]) ).

fof(f874,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2682,plain,
    ~ spl154_294,
    inference(avatar_split_clause,[],[f873,f2679]) ).

fof(f873,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2676,plain,
    ~ spl154_293,
    inference(avatar_split_clause,[],[f872,f2673]) ).

fof(f2673,plain,
    ( spl154_293
  <=> op(e3,e0) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_293])]) ).

fof(f872,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2671,plain,
    ~ spl154_292,
    inference(avatar_split_clause,[],[f871,f2668]) ).

fof(f871,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2666,plain,
    ( ~ spl154_291
    | ~ spl154_176
    | spl154_290 ),
    inference(avatar_split_clause,[],[f2661,f2657,f2050,f2663]) ).

fof(f2660,plain,
    ~ spl154_290,
    inference(avatar_split_clause,[],[f870,f2657]) ).

fof(f870,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2655,plain,
    ( ~ spl154_289
    | ~ spl154_152
    | spl154_288 ),
    inference(avatar_split_clause,[],[f2650,f2646,f1949,f2652]) ).

fof(f2646,plain,
    ( spl154_288
  <=> op(e2,e2) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_288])]) ).

fof(f2650,plain,
    ( e3 != op(e2,e4)
    | ~ spl154_152
    | spl154_288 ),
    inference(forward_demodulation,[],[f2648,f1951]) ).

fof(f2648,plain,
    ( op(e2,e2) != op(e2,e4)
    | spl154_288 ),
    inference(avatar_component_clause,[],[f2646]) ).

fof(f2649,plain,
    ~ spl154_288,
    inference(avatar_split_clause,[],[f869,f2646]) ).

fof(f869,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2642,plain,
    ~ spl154_287,
    inference(avatar_split_clause,[],[f868,f2639]) ).

fof(f868,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2637,plain,
    ~ spl154_286,
    inference(avatar_split_clause,[],[f867,f2634]) ).

fof(f2634,plain,
    ( spl154_286
  <=> op(e2,e1) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_286])]) ).

fof(f867,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2632,plain,
    ( ~ spl154_285
    | ~ spl154_176
    | spl154_284 ),
    inference(avatar_split_clause,[],[f2627,f2623,f2050,f2629]) ).

fof(f2626,plain,
    ~ spl154_284,
    inference(avatar_split_clause,[],[f866,f2623]) ).

fof(f866,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2621,plain,
    ( ~ spl154_283
    | ~ spl154_152
    | spl154_282 ),
    inference(avatar_split_clause,[],[f2616,f2612,f1949,f2618]) ).

fof(f2612,plain,
    ( spl154_282
  <=> op(e2,e1) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_282])]) ).

fof(f2616,plain,
    ( e3 != op(e2,e1)
    | ~ spl154_152
    | spl154_282 ),
    inference(forward_demodulation,[],[f2614,f1951]) ).

fof(f2614,plain,
    ( op(e2,e1) != op(e2,e2)
    | spl154_282 ),
    inference(avatar_component_clause,[],[f2612]) ).

fof(f2615,plain,
    ~ spl154_282,
    inference(avatar_split_clause,[],[f865,f2612]) ).

fof(f865,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2610,plain,
    ~ spl154_281,
    inference(avatar_split_clause,[],[f864,f2607]) ).

fof(f2607,plain,
    ( spl154_281
  <=> op(e2,e0) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_281])]) ).

fof(f864,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2605,plain,
    ( ~ spl154_280
    | ~ spl154_176
    | spl154_279 ),
    inference(avatar_split_clause,[],[f2600,f2596,f2050,f2602]) ).

fof(f2596,plain,
    ( spl154_279
  <=> op(e2,e0) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_279])]) ).

fof(f2600,plain,
    ( e2 != op(e2,e0)
    | ~ spl154_176
    | spl154_279 ),
    inference(forward_demodulation,[],[f2598,f2052]) ).

fof(f2598,plain,
    ( op(e2,e0) != op(e2,e3)
    | spl154_279 ),
    inference(avatar_component_clause,[],[f2596]) ).

fof(f2599,plain,
    ~ spl154_279,
    inference(avatar_split_clause,[],[f863,f2596]) ).

fof(f863,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2594,plain,
    ( ~ spl154_278
    | ~ spl154_152
    | spl154_277 ),
    inference(avatar_split_clause,[],[f2589,f2585,f1949,f2591]) ).

fof(f2585,plain,
    ( spl154_277
  <=> op(e2,e0) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_277])]) ).

fof(f2589,plain,
    ( e3 != op(e2,e0)
    | ~ spl154_152
    | spl154_277 ),
    inference(forward_demodulation,[],[f2587,f1951]) ).

fof(f2587,plain,
    ( op(e2,e0) != op(e2,e2)
    | spl154_277 ),
    inference(avatar_component_clause,[],[f2585]) ).

fof(f2588,plain,
    ~ spl154_277,
    inference(avatar_split_clause,[],[f862,f2585]) ).

fof(f862,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2583,plain,
    ~ spl154_276,
    inference(avatar_split_clause,[],[f861,f2580]) ).

fof(f2580,plain,
    ( spl154_276
  <=> op(e2,e0) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_276])]) ).

fof(f861,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2578,plain,
    ~ spl154_275,
    inference(avatar_split_clause,[],[f860,f2575]) ).

fof(f2575,plain,
    ( spl154_275
  <=> op(e1,e3) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_275])]) ).

fof(f860,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2573,plain,
    ~ spl154_274,
    inference(avatar_split_clause,[],[f859,f2570]) ).

fof(f859,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2568,plain,
    ~ spl154_273,
    inference(avatar_split_clause,[],[f858,f2565]) ).

fof(f2565,plain,
    ( spl154_273
  <=> op(e1,e2) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_273])]) ).

fof(f858,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2563,plain,
    ( ~ spl154_272
    | ~ spl154_154
    | spl154_271 ),
    inference(avatar_split_clause,[],[f2558,f2554,f1959,f2560]) ).

fof(f2554,plain,
    ( spl154_271
  <=> op(e1,e1) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_271])]) ).

fof(f2558,plain,
    ( e0 != op(e1,e4)
    | ~ spl154_154
    | spl154_271 ),
    inference(forward_demodulation,[],[f2556,f1961]) ).

fof(f2556,plain,
    ( op(e1,e1) != op(e1,e4)
    | spl154_271 ),
    inference(avatar_component_clause,[],[f2554]) ).

fof(f2557,plain,
    ~ spl154_271,
    inference(avatar_split_clause,[],[f857,f2554]) ).

fof(f857,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2552,plain,
    ( ~ spl154_270
    | ~ spl154_154
    | spl154_269 ),
    inference(avatar_split_clause,[],[f2547,f2543,f1959,f2549]) ).

fof(f2543,plain,
    ( spl154_269
  <=> op(e1,e1) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_269])]) ).

fof(f2547,plain,
    ( e0 != op(e1,e3)
    | ~ spl154_154
    | spl154_269 ),
    inference(forward_demodulation,[],[f2545,f1961]) ).

fof(f2545,plain,
    ( op(e1,e1) != op(e1,e3)
    | spl154_269 ),
    inference(avatar_component_clause,[],[f2543]) ).

fof(f2546,plain,
    ~ spl154_269,
    inference(avatar_split_clause,[],[f856,f2543]) ).

fof(f856,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2541,plain,
    ( ~ spl154_268
    | ~ spl154_154
    | spl154_267 ),
    inference(avatar_split_clause,[],[f2536,f2532,f1959,f2538]) ).

fof(f2532,plain,
    ( spl154_267
  <=> op(e1,e1) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_267])]) ).

fof(f2536,plain,
    ( e0 != op(e1,e2)
    | ~ spl154_154
    | spl154_267 ),
    inference(forward_demodulation,[],[f2534,f1961]) ).

fof(f2534,plain,
    ( op(e1,e1) != op(e1,e2)
    | spl154_267 ),
    inference(avatar_component_clause,[],[f2532]) ).

fof(f2535,plain,
    ~ spl154_267,
    inference(avatar_split_clause,[],[f855,f2532]) ).

fof(f855,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2530,plain,
    ( ~ spl154_266
    | ~ spl154_175
    | spl154_265 ),
    inference(avatar_split_clause,[],[f2525,f2521,f2045,f2527]) ).

fof(f2521,plain,
    ( spl154_265
  <=> op(e1,e0) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_265])]) ).

fof(f2525,plain,
    ( e1 != op(e1,e4)
    | ~ spl154_175
    | spl154_265 ),
    inference(forward_demodulation,[],[f2523,f2047]) ).

fof(f2523,plain,
    ( op(e1,e0) != op(e1,e4)
    | spl154_265 ),
    inference(avatar_component_clause,[],[f2521]) ).

fof(f2524,plain,
    ~ spl154_265,
    inference(avatar_split_clause,[],[f854,f2521]) ).

fof(f854,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2519,plain,
    ( ~ spl154_264
    | ~ spl154_175
    | spl154_263 ),
    inference(avatar_split_clause,[],[f2514,f2510,f2045,f2516]) ).

fof(f2510,plain,
    ( spl154_263
  <=> op(e1,e0) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_263])]) ).

fof(f2514,plain,
    ( e1 != op(e1,e3)
    | ~ spl154_175
    | spl154_263 ),
    inference(forward_demodulation,[],[f2512,f2047]) ).

fof(f2512,plain,
    ( op(e1,e0) != op(e1,e3)
    | spl154_263 ),
    inference(avatar_component_clause,[],[f2510]) ).

fof(f2513,plain,
    ~ spl154_263,
    inference(avatar_split_clause,[],[f853,f2510]) ).

fof(f853,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2507,plain,
    ~ spl154_262,
    inference(avatar_split_clause,[],[f852,f2504]) ).

fof(f2504,plain,
    ( spl154_262
  <=> op(e1,e0) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_262])]) ).

fof(f852,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2501,plain,
    ( ~ spl154_261
    | ~ spl154_154
    | spl154_260 ),
    inference(avatar_split_clause,[],[f2496,f2492,f1959,f2498]) ).

fof(f2492,plain,
    ( spl154_260
  <=> op(e1,e0) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_260])]) ).

fof(f2496,plain,
    ( e0 != op(e1,e0)
    | ~ spl154_154
    | spl154_260 ),
    inference(forward_demodulation,[],[f2494,f1961]) ).

fof(f2494,plain,
    ( op(e1,e0) != op(e1,e1)
    | spl154_260 ),
    inference(avatar_component_clause,[],[f2492]) ).

fof(f2495,plain,
    ~ spl154_260,
    inference(avatar_split_clause,[],[f851,f2492]) ).

fof(f851,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2490,plain,
    ~ spl154_259,
    inference(avatar_split_clause,[],[f850,f2487]) ).

fof(f2487,plain,
    ( spl154_259
  <=> op(e0,e3) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_259])]) ).

fof(f850,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2485,plain,
    ~ spl154_258,
    inference(avatar_split_clause,[],[f849,f2482]) ).

fof(f849,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2480,plain,
    ~ spl154_257,
    inference(avatar_split_clause,[],[f848,f2477]) ).

fof(f848,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2475,plain,
    ~ spl154_256,
    inference(avatar_split_clause,[],[f847,f2472]) ).

fof(f2472,plain,
    ( spl154_256
  <=> op(e0,e1) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_256])]) ).

fof(f847,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2470,plain,
    ~ spl154_255,
    inference(avatar_split_clause,[],[f846,f2467]) ).

fof(f2467,plain,
    ( spl154_255
  <=> op(e0,e1) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_255])]) ).

fof(f846,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2465,plain,
    ~ spl154_254,
    inference(avatar_split_clause,[],[f845,f2462]) ).

fof(f2462,plain,
    ( spl154_254
  <=> op(e0,e1) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_254])]) ).

fof(f845,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2460,plain,
    ~ spl154_253,
    inference(avatar_split_clause,[],[f844,f2457]) ).

fof(f2457,plain,
    ( spl154_253
  <=> op(e0,e0) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_253])]) ).

fof(f844,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2455,plain,
    ~ spl154_252,
    inference(avatar_split_clause,[],[f843,f2452]) ).

fof(f843,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2450,plain,
    ~ spl154_251,
    inference(avatar_split_clause,[],[f842,f2447]) ).

fof(f842,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2445,plain,
    ~ spl154_250,
    inference(avatar_split_clause,[],[f841,f2442]) ).

fof(f841,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2440,plain,
    ~ spl154_249,
    inference(avatar_split_clause,[],[f840,f2437]) ).

fof(f2437,plain,
    ( spl154_249
  <=> op(e3,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_249])]) ).

fof(f840,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2435,plain,
    ~ spl154_248,
    inference(avatar_split_clause,[],[f839,f2432]) ).

fof(f839,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2430,plain,
    ~ spl154_247,
    inference(avatar_split_clause,[],[f838,f2427]) ).

fof(f2427,plain,
    ( spl154_247
  <=> op(e2,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_247])]) ).

fof(f838,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2425,plain,
    ~ spl154_246,
    inference(avatar_split_clause,[],[f837,f2422]) ).

fof(f2422,plain,
    ( spl154_246
  <=> op(e1,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_246])]) ).

fof(f837,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2420,plain,
    ~ spl154_245,
    inference(avatar_split_clause,[],[f836,f2417]) ).

fof(f2417,plain,
    ( spl154_245
  <=> op(e1,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_245])]) ).

fof(f836,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2415,plain,
    ~ spl154_244,
    inference(avatar_split_clause,[],[f835,f2412]) ).

fof(f2412,plain,
    ( spl154_244
  <=> op(e1,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_244])]) ).

fof(f835,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2410,plain,
    ~ spl154_243,
    inference(avatar_split_clause,[],[f834,f2407]) ).

fof(f2407,plain,
    ( spl154_243
  <=> op(e0,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_243])]) ).

fof(f834,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2405,plain,
    ~ spl154_242,
    inference(avatar_split_clause,[],[f833,f2402]) ).

fof(f2402,plain,
    ( spl154_242
  <=> op(e0,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_242])]) ).

fof(f833,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2400,plain,
    ~ spl154_241,
    inference(avatar_split_clause,[],[f832,f2397]) ).

fof(f2397,plain,
    ( spl154_241
  <=> op(e0,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_241])]) ).

fof(f832,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2395,plain,
    ~ spl154_240,
    inference(avatar_split_clause,[],[f831,f2392]) ).

fof(f831,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2390,plain,
    ~ spl154_239,
    inference(avatar_split_clause,[],[f830,f2387]) ).

fof(f2387,plain,
    ( spl154_239
  <=> op(e3,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_239])]) ).

fof(f830,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2385,plain,
    ( ~ spl154_238
    | ~ spl154_176
    | spl154_237 ),
    inference(avatar_split_clause,[],[f2380,f2376,f2050,f2382]) ).

fof(f2376,plain,
    ( spl154_237
  <=> op(e2,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_237])]) ).

fof(f2380,plain,
    ( e2 != op(e4,e3)
    | ~ spl154_176
    | spl154_237 ),
    inference(forward_demodulation,[],[f2378,f2052]) ).

fof(f2378,plain,
    ( op(e2,e3) != op(e4,e3)
    | spl154_237 ),
    inference(avatar_component_clause,[],[f2376]) ).

fof(f2379,plain,
    ~ spl154_237,
    inference(avatar_split_clause,[],[f829,f2376]) ).

fof(f829,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2374,plain,
    ( ~ spl154_236
    | ~ spl154_176
    | spl154_235 ),
    inference(avatar_split_clause,[],[f2369,f2365,f2050,f2371]) ).

fof(f2371,plain,
    ( spl154_236
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_236])]) ).

fof(f2365,plain,
    ( spl154_235
  <=> op(e2,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_235])]) ).

fof(f2369,plain,
    ( e2 != op(e3,e3)
    | ~ spl154_176
    | spl154_235 ),
    inference(forward_demodulation,[],[f2367,f2052]) ).

fof(f2367,plain,
    ( op(e2,e3) != op(e3,e3)
    | spl154_235 ),
    inference(avatar_component_clause,[],[f2365]) ).

fof(f2368,plain,
    ~ spl154_235,
    inference(avatar_split_clause,[],[f828,f2365]) ).

fof(f828,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2363,plain,
    ~ spl154_234,
    inference(avatar_split_clause,[],[f827,f2360]) ).

fof(f2360,plain,
    ( spl154_234
  <=> op(e1,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_234])]) ).

fof(f827,plain,
    op(e1,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2358,plain,
    ~ spl154_233,
    inference(avatar_split_clause,[],[f826,f2355]) ).

fof(f826,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2353,plain,
    ( ~ spl154_232
    | ~ spl154_176
    | spl154_231 ),
    inference(avatar_split_clause,[],[f2348,f2344,f2050,f2350]) ).

fof(f2348,plain,
    ( e2 != op(e1,e3)
    | ~ spl154_176
    | spl154_231 ),
    inference(forward_demodulation,[],[f2346,f2052]) ).

fof(f2347,plain,
    ~ spl154_231,
    inference(avatar_split_clause,[],[f825,f2344]) ).

fof(f825,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2342,plain,
    ~ spl154_230,
    inference(avatar_split_clause,[],[f824,f2339]) ).

fof(f2339,plain,
    ( spl154_230
  <=> op(e0,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_230])]) ).

fof(f824,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2337,plain,
    ~ spl154_229,
    inference(avatar_split_clause,[],[f823,f2334]) ).

fof(f823,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2332,plain,
    ( ~ spl154_228
    | ~ spl154_176
    | spl154_227 ),
    inference(avatar_split_clause,[],[f2327,f2323,f2050,f2329]) ).

fof(f2329,plain,
    ( spl154_228
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_228])]) ).

fof(f2323,plain,
    ( spl154_227
  <=> op(e0,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_227])]) ).

fof(f2327,plain,
    ( e2 != op(e0,e3)
    | ~ spl154_176
    | spl154_227 ),
    inference(forward_demodulation,[],[f2325,f2052]) ).

fof(f2325,plain,
    ( op(e0,e3) != op(e2,e3)
    | spl154_227 ),
    inference(avatar_component_clause,[],[f2323]) ).

fof(f2326,plain,
    ~ spl154_227,
    inference(avatar_split_clause,[],[f822,f2323]) ).

fof(f822,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2321,plain,
    ~ spl154_226,
    inference(avatar_split_clause,[],[f821,f2318]) ).

fof(f2318,plain,
    ( spl154_226
  <=> op(e0,e3) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_226])]) ).

fof(f821,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2316,plain,
    ( ~ spl154_225
    | ~ spl154_153
    | spl154_224 ),
    inference(avatar_split_clause,[],[f2311,f2307,f1954,f2313]) ).

fof(f2307,plain,
    ( spl154_224
  <=> op(e3,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_224])]) ).

fof(f2311,plain,
    ( e1 != op(e4,e2)
    | ~ spl154_153
    | spl154_224 ),
    inference(forward_demodulation,[],[f2309,f1956]) ).

fof(f2309,plain,
    ( op(e3,e2) != op(e4,e2)
    | spl154_224 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2310,plain,
    ~ spl154_224,
    inference(avatar_split_clause,[],[f820,f2307]) ).

fof(f820,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2305,plain,
    ( ~ spl154_223
    | ~ spl154_152
    | spl154_222 ),
    inference(avatar_split_clause,[],[f2300,f2296,f1949,f2302]) ).

fof(f2296,plain,
    ( spl154_222
  <=> op(e2,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_222])]) ).

fof(f2300,plain,
    ( e3 != op(e4,e2)
    | ~ spl154_152
    | spl154_222 ),
    inference(forward_demodulation,[],[f2298,f1951]) ).

fof(f2298,plain,
    ( op(e2,e2) != op(e4,e2)
    | spl154_222 ),
    inference(avatar_component_clause,[],[f2296]) ).

fof(f2299,plain,
    ~ spl154_222,
    inference(avatar_split_clause,[],[f819,f2296]) ).

fof(f819,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2293,plain,
    ( ~ spl154_221
    | ~ spl154_153
    | spl154_220 ),
    inference(avatar_split_clause,[],[f2288,f2284,f1954,f2290]) ).

fof(f2284,plain,
    ( spl154_220
  <=> op(e2,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_220])]) ).

fof(f2288,plain,
    ( e1 != op(e2,e2)
    | ~ spl154_153
    | spl154_220 ),
    inference(forward_demodulation,[],[f2286,f1956]) ).

fof(f2286,plain,
    ( op(e2,e2) != op(e3,e2)
    | spl154_220 ),
    inference(avatar_component_clause,[],[f2284]) ).

fof(f2287,plain,
    ~ spl154_220,
    inference(avatar_split_clause,[],[f818,f2284]) ).

fof(f818,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2282,plain,
    ~ spl154_219,
    inference(avatar_split_clause,[],[f817,f2279]) ).

fof(f2279,plain,
    ( spl154_219
  <=> op(e1,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_219])]) ).

fof(f817,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2277,plain,
    ( ~ spl154_218
    | ~ spl154_153
    | spl154_217 ),
    inference(avatar_split_clause,[],[f2272,f2268,f1954,f2274]) ).

fof(f2268,plain,
    ( spl154_217
  <=> op(e1,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_217])]) ).

fof(f2272,plain,
    ( e1 != op(e1,e2)
    | ~ spl154_153
    | spl154_217 ),
    inference(forward_demodulation,[],[f2270,f1956]) ).

fof(f2270,plain,
    ( op(e1,e2) != op(e3,e2)
    | spl154_217 ),
    inference(avatar_component_clause,[],[f2268]) ).

fof(f2271,plain,
    ~ spl154_217,
    inference(avatar_split_clause,[],[f816,f2268]) ).

fof(f816,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2266,plain,
    ( ~ spl154_216
    | ~ spl154_152
    | spl154_215 ),
    inference(avatar_split_clause,[],[f2261,f2257,f1949,f2263]) ).

fof(f2257,plain,
    ( spl154_215
  <=> op(e1,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_215])]) ).

fof(f2261,plain,
    ( e3 != op(e1,e2)
    | ~ spl154_152
    | spl154_215 ),
    inference(forward_demodulation,[],[f2259,f1951]) ).

fof(f2259,plain,
    ( op(e1,e2) != op(e2,e2)
    | spl154_215 ),
    inference(avatar_component_clause,[],[f2257]) ).

fof(f2260,plain,
    ~ spl154_215,
    inference(avatar_split_clause,[],[f815,f2257]) ).

fof(f815,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2255,plain,
    ~ spl154_214,
    inference(avatar_split_clause,[],[f814,f2252]) ).

fof(f2252,plain,
    ( spl154_214
  <=> op(e0,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_214])]) ).

fof(f814,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2250,plain,
    ( ~ spl154_213
    | ~ spl154_153
    | spl154_212 ),
    inference(avatar_split_clause,[],[f2245,f2241,f1954,f2247]) ).

fof(f2241,plain,
    ( spl154_212
  <=> op(e0,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_212])]) ).

fof(f2245,plain,
    ( e1 != op(e0,e2)
    | ~ spl154_153
    | spl154_212 ),
    inference(forward_demodulation,[],[f2243,f1956]) ).

fof(f2243,plain,
    ( op(e0,e2) != op(e3,e2)
    | spl154_212 ),
    inference(avatar_component_clause,[],[f2241]) ).

fof(f2244,plain,
    ~ spl154_212,
    inference(avatar_split_clause,[],[f813,f2241]) ).

fof(f813,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2239,plain,
    ( ~ spl154_211
    | ~ spl154_152
    | spl154_210 ),
    inference(avatar_split_clause,[],[f2234,f2230,f1949,f2236]) ).

fof(f2236,plain,
    ( spl154_211
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_211])]) ).

fof(f2230,plain,
    ( spl154_210
  <=> op(e0,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_210])]) ).

fof(f2234,plain,
    ( e3 != op(e0,e2)
    | ~ spl154_152
    | spl154_210 ),
    inference(forward_demodulation,[],[f2232,f1951]) ).

fof(f2232,plain,
    ( op(e0,e2) != op(e2,e2)
    | spl154_210 ),
    inference(avatar_component_clause,[],[f2230]) ).

fof(f2233,plain,
    ~ spl154_210,
    inference(avatar_split_clause,[],[f812,f2230]) ).

fof(f812,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2228,plain,
    ~ spl154_209,
    inference(avatar_split_clause,[],[f811,f2225]) ).

fof(f2225,plain,
    ( spl154_209
  <=> op(e0,e2) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_209])]) ).

fof(f811,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2223,plain,
    ~ spl154_208,
    inference(avatar_split_clause,[],[f810,f2220]) ).

fof(f2220,plain,
    ( spl154_208
  <=> op(e3,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_208])]) ).

fof(f810,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2218,plain,
    ~ spl154_207,
    inference(avatar_split_clause,[],[f809,f2215]) ).

fof(f2215,plain,
    ( spl154_207
  <=> op(e2,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_207])]) ).

fof(f809,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2213,plain,
    ~ spl154_206,
    inference(avatar_split_clause,[],[f808,f2210]) ).

fof(f2210,plain,
    ( spl154_206
  <=> op(e2,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_206])]) ).

fof(f808,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2208,plain,
    ( ~ spl154_205
    | ~ spl154_154
    | spl154_204 ),
    inference(avatar_split_clause,[],[f2203,f2199,f1959,f2205]) ).

fof(f2205,plain,
    ( spl154_205
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_205])]) ).

fof(f2199,plain,
    ( spl154_204
  <=> op(e1,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_204])]) ).

fof(f2203,plain,
    ( e0 != op(e4,e1)
    | ~ spl154_154
    | spl154_204 ),
    inference(forward_demodulation,[],[f2201,f1961]) ).

fof(f2201,plain,
    ( op(e1,e1) != op(e4,e1)
    | spl154_204 ),
    inference(avatar_component_clause,[],[f2199]) ).

fof(f2202,plain,
    ~ spl154_204,
    inference(avatar_split_clause,[],[f807,f2199]) ).

fof(f807,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2197,plain,
    ( ~ spl154_203
    | ~ spl154_154
    | spl154_202 ),
    inference(avatar_split_clause,[],[f2192,f2188,f1959,f2194]) ).

fof(f2194,plain,
    ( spl154_203
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_203])]) ).

fof(f2188,plain,
    ( spl154_202
  <=> op(e1,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_202])]) ).

fof(f2192,plain,
    ( e0 != op(e3,e1)
    | ~ spl154_154
    | spl154_202 ),
    inference(forward_demodulation,[],[f2190,f1961]) ).

fof(f2190,plain,
    ( op(e1,e1) != op(e3,e1)
    | spl154_202 ),
    inference(avatar_component_clause,[],[f2188]) ).

fof(f2191,plain,
    ~ spl154_202,
    inference(avatar_split_clause,[],[f806,f2188]) ).

fof(f806,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2186,plain,
    ( ~ spl154_201
    | ~ spl154_154
    | spl154_200 ),
    inference(avatar_split_clause,[],[f2181,f2177,f1959,f2183]) ).

fof(f2183,plain,
    ( spl154_201
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_201])]) ).

fof(f2177,plain,
    ( spl154_200
  <=> op(e1,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_200])]) ).

fof(f2181,plain,
    ( e0 != op(e2,e1)
    | ~ spl154_154
    | spl154_200 ),
    inference(forward_demodulation,[],[f2179,f1961]) ).

fof(f2179,plain,
    ( op(e1,e1) != op(e2,e1)
    | spl154_200 ),
    inference(avatar_component_clause,[],[f2177]) ).

fof(f2180,plain,
    ~ spl154_200,
    inference(avatar_split_clause,[],[f805,f2177]) ).

fof(f805,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2175,plain,
    ~ spl154_199,
    inference(avatar_split_clause,[],[f804,f2172]) ).

fof(f2172,plain,
    ( spl154_199
  <=> op(e0,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_199])]) ).

fof(f804,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2170,plain,
    ~ spl154_198,
    inference(avatar_split_clause,[],[f803,f2167]) ).

fof(f803,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2165,plain,
    ~ spl154_197,
    inference(avatar_split_clause,[],[f802,f2162]) ).

fof(f2162,plain,
    ( spl154_197
  <=> op(e0,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_197])]) ).

fof(f802,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2160,plain,
    ( ~ spl154_196
    | ~ spl154_154
    | spl154_195 ),
    inference(avatar_split_clause,[],[f2155,f2151,f1959,f2157]) ).

fof(f2151,plain,
    ( spl154_195
  <=> op(e0,e1) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_195])]) ).

fof(f2155,plain,
    ( e0 != op(e0,e1)
    | ~ spl154_154
    | spl154_195 ),
    inference(forward_demodulation,[],[f2153,f1961]) ).

fof(f2153,plain,
    ( op(e0,e1) != op(e1,e1)
    | spl154_195 ),
    inference(avatar_component_clause,[],[f2151]) ).

fof(f2154,plain,
    ~ spl154_195,
    inference(avatar_split_clause,[],[f801,f2151]) ).

fof(f801,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2149,plain,
    ~ spl154_194,
    inference(avatar_split_clause,[],[f800,f2146]) ).

fof(f2146,plain,
    ( spl154_194
  <=> op(e3,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_194])]) ).

fof(f800,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2144,plain,
    ~ spl154_193,
    inference(avatar_split_clause,[],[f799,f2141]) ).

fof(f799,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2139,plain,
    ~ spl154_192,
    inference(avatar_split_clause,[],[f798,f2136]) ).

fof(f798,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2134,plain,
    ( ~ spl154_191
    | ~ spl154_175
    | spl154_190 ),
    inference(avatar_split_clause,[],[f2129,f2125,f2045,f2131]) ).

fof(f2125,plain,
    ( spl154_190
  <=> op(e1,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_190])]) ).

fof(f2129,plain,
    ( e1 != op(e4,e0)
    | ~ spl154_175
    | spl154_190 ),
    inference(forward_demodulation,[],[f2127,f2047]) ).

fof(f2127,plain,
    ( op(e1,e0) != op(e4,e0)
    | spl154_190 ),
    inference(avatar_component_clause,[],[f2125]) ).

fof(f2128,plain,
    ~ spl154_190,
    inference(avatar_split_clause,[],[f797,f2125]) ).

fof(f797,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2123,plain,
    ( ~ spl154_189
    | ~ spl154_175
    | spl154_188 ),
    inference(avatar_split_clause,[],[f2118,f2114,f2045,f2120]) ).

fof(f2114,plain,
    ( spl154_188
  <=> op(e1,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_188])]) ).

fof(f2118,plain,
    ( e1 != op(e3,e0)
    | ~ spl154_175
    | spl154_188 ),
    inference(forward_demodulation,[],[f2116,f2047]) ).

fof(f2116,plain,
    ( op(e1,e0) != op(e3,e0)
    | spl154_188 ),
    inference(avatar_component_clause,[],[f2114]) ).

fof(f2117,plain,
    ~ spl154_188,
    inference(avatar_split_clause,[],[f796,f2114]) ).

fof(f796,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2112,plain,
    ( ~ spl154_187
    | ~ spl154_175
    | spl154_186 ),
    inference(avatar_split_clause,[],[f2107,f2103,f2045,f2109]) ).

fof(f2106,plain,
    ~ spl154_186,
    inference(avatar_split_clause,[],[f795,f2103]) ).

fof(f795,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2101,plain,
    ~ spl154_185,
    inference(avatar_split_clause,[],[f794,f2098]) ).

fof(f794,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2096,plain,
    ~ spl154_184,
    inference(avatar_split_clause,[],[f793,f2093]) ).

fof(f793,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2091,plain,
    ~ spl154_183,
    inference(avatar_split_clause,[],[f792,f2088]) ).

fof(f792,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2086,plain,
    ( ~ spl154_182
    | ~ spl154_175
    | spl154_181 ),
    inference(avatar_split_clause,[],[f2081,f2077,f2045,f2083]) ).

fof(f2081,plain,
    ( op(e0,e0) != e1
    | ~ spl154_175
    | spl154_181 ),
    inference(forward_demodulation,[],[f2079,f2047]) ).

fof(f2080,plain,
    ~ spl154_181,
    inference(avatar_split_clause,[],[f791,f2077]) ).

fof(f791,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2075,plain,
    ( ~ spl154_5
    | spl154_180 ),
    inference(avatar_split_clause,[],[f513,f2072,f1142]) ).

fof(f513,plain,
    ( sP22
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f2070,plain,
    ( ~ spl154_9
    | spl154_179 ),
    inference(avatar_split_clause,[],[f415,f2067,f1158]) ).

fof(f1158,plain,
    ( spl154_9
  <=> sP129 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_9])]) ).

fof(f415,plain,
    ( sP124
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ( ( sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100 )
    | ~ sP129 ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( sP124
      & sP123
      & sP122
      & sP121
      & sP120
      & sP119
      & sP118
      & sP117
      & sP116
      & sP115
      & sP114
      & sP113
      & sP112
      & sP111
      & sP110
      & sP109
      & sP108
      & sP107
      & sP106
      & sP105
      & sP104
      & sP103
      & sP102
      & sP101
      & sP100 )
    | ~ sP129 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).

fof(f2064,plain,
    ( ~ spl154_7
    | spl154_178 ),
    inference(avatar_split_clause,[],[f464,f2061,f1150]) ).

fof(f464,plain,
    ( sP73
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f2058,plain,
    ( ~ spl154_89
    | spl154_177 ),
    inference(avatar_split_clause,[],[f1636,f2055,f1608]) ).

fof(f1608,plain,
    ( spl154_89
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_89])]) ).

fof(f1636,plain,
    ( e2 = op(e3,e1)
    | ~ sP42 ),
    inference(trivial_inequality_removal,[],[f1635]) ).

fof(f1635,plain,
    ( e1 != e1
    | e2 = op(e3,e1)
    | ~ sP42 ),
    inference(forward_demodulation,[],[f680,f1100]) ).

fof(f680,plain,
    ( e2 = op(e3,e1)
    | e1 != op(e3,e2)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ( ( e1 != unit
      & e2 = op(e3,e1) )
    | e1 != op(e3,e2)
    | ~ sP42 ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e1 != unit
      & e2 = op(e3,e1) )
    | e1 != op(e3,e2)
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f2053,plain,
    ( ~ spl154_67
    | spl154_176 ),
    inference(avatar_split_clause,[],[f1507,f2050,f1478]) ).

fof(f1478,plain,
    ( spl154_67
  <=> sP87 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_67])]) ).

fof(f1507,plain,
    ( e2 = op(e2,e3)
    | ~ sP87 ),
    inference(trivial_inequality_removal,[],[f1506]) ).

fof(f1506,plain,
    ( e3 != e3
    | e2 = op(e2,e3)
    | ~ sP87 ),
    inference(forward_demodulation,[],[f590,f893]) ).

fof(f590,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2)
    | ~ sP87 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ( ( e3 != unit
      & e2 = op(e2,e3) )
    | e3 != op(e2,e2)
    | ~ sP87 ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e3 != unit
      & e2 = op(e2,e3) )
    | e3 != op(e2,e2)
    | ~ sP87 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).

fof(f2048,plain,
    ( ~ spl154_50
    | spl154_175 ),
    inference(avatar_split_clause,[],[f1411,f2045,f1381]) ).

fof(f1381,plain,
    ( spl154_50
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_50])]) ).

fof(f1411,plain,
    ( e1 = op(e1,e0)
    | ~ sP6 ),
    inference(trivial_inequality_removal,[],[f1410]) ).

fof(f1410,plain,
    ( e0 != e0
    | e1 = op(e1,e0)
    | ~ sP6 ),
    inference(forward_demodulation,[],[f752,f1102]) ).

fof(f752,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ( ( e0 != unit
      & e1 = op(e1,e0) )
    | e0 != op(e1,e1)
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ( e0 != unit
      & e1 = op(e1,e0) )
    | e0 != op(e1,e1)
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f2043,plain,
    ( spl154_1
    | spl154_155
    | spl154_156
    | spl154_157
    | spl154_158
    | spl154_159
    | spl154_2
    | spl154_160
    | spl154_161
    | spl154_162
    | spl154_163
    | spl154_164
    | spl154_3
    | spl154_165
    | spl154_166
    | spl154_167
    | spl154_168
    | spl154_169
    | spl154_4
    | spl154_170
    | spl154_171
    | spl154_172
    | spl154_173
    | spl154_174 ),
    inference(avatar_split_clause,[],[f970,f2040,f2036,f2032,f2028,f2024,f1137,f2020,f2016,f2012,f2008,f2004,f1132,f2000,f1996,f1992,f1988,f1984,f1127,f1980,f1976,f1972,f1968,f1964,f1122]) ).

fof(f1122,plain,
    ( spl154_1
  <=> sP130 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_1])]) ).

fof(f1127,plain,
    ( spl154_2
  <=> sP136 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_2])]) ).

fof(f1132,plain,
    ( spl154_3
  <=> sP142 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_3])]) ).

fof(f1137,plain,
    ( spl154_4
  <=> sP148 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_4])]) ).

fof(f970,plain,
    ( sP153
    | sP152
    | sP151
    | sP150
    | sP149
    | sP148
    | sP147
    | sP146
    | sP145
    | sP144
    | sP143
    | sP142
    | sP141
    | sP140
    | sP139
    | sP138
    | sP137
    | sP136
    | sP135
    | sP134
    | sP133
    | sP132
    | sP131
    | sP130 ),
    inference(trivial_inequality_removal,[],[f767]) ).

fof(f767,plain,
    ( op(e4,e4) != op(e4,e4)
    | sP153
    | sP152
    | sP151
    | sP150
    | sP149
    | sP148
    | sP147
    | sP146
    | sP145
    | sP144
    | sP143
    | sP142
    | sP141
    | sP140
    | sP139
    | sP138
    | sP137
    | sP136
    | sP135
    | sP134
    | sP133
    | sP132
    | sP131
    | sP130 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( ( ( e4 != op(op(e4,e4),e4)
        & e4 = op(op(e4,e4),e4)
        & op(e4,e4) != op(e4,e4) )
      | sP153
      | sP152
      | sP151
      | sP150
      | sP149
      | sP148
      | sP147
      | sP146
      | sP145
      | sP144
      | sP143
      | sP142
      | sP141
      | sP140
      | sP139
      | sP138
      | sP137
      | sP136
      | sP135
      | sP134
      | sP133
      | sP132
      | sP131
      | sP130 )
    & ( sP129
      | sP128
      | sP127
      | sP126
      | sP125 ) ),
    inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f11,plain,
    ( ( e0 != unit
      & op(e0,e0) = e1 )
    | e0 != op(e0,e1)
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e0 != unit
      & op(e0,e0) = e2 )
    | e0 != op(e0,e2)
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f15,plain,
    ( ( e0 != unit
      & e0 = op(e1,e0) )
    | e0 != op(e1,e0)
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f20,plain,
    ( ( e0 != unit
      & e0 = op(e2,e0) )
    | e0 != op(e2,e0)
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f22,plain,
    ( ( e0 != unit
      & e2 = op(e2,e0) )
    | e0 != op(e2,e2)
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f25,plain,
    ( ( e0 != unit
      & e0 = op(e3,e0) )
    | e0 != op(e3,e0)
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f27,plain,
    ( ( e0 != unit
      & e2 = op(e3,e0) )
    | e0 != op(e3,e2)
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f28,plain,
    ( ( e0 != unit
      & e3 = op(e3,e0) )
    | e0 != op(e3,e3)
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f30,plain,
    ( ( e0 != unit
      & e0 = op(e4,e0) )
    | e0 != op(e4,e0)
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f36,plain,
    ( ( e1 != unit
      & e1 = op(e0,e1) )
    | e1 != op(e0,e1)
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f37,plain,
    ( ( e1 != unit
      & e2 = op(e0,e1) )
    | e1 != op(e0,e2)
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f40,plain,
    ( ( e1 != unit
      & e0 = op(e1,e1) )
    | e1 != op(e1,e0)
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f41,plain,
    ( ( e1 != unit
      & e1 = op(e1,e1) )
    | e1 != op(e1,e1)
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f42,plain,
    ( ( e1 != unit
      & e2 = op(e1,e1) )
    | e1 != op(e1,e2)
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f43,plain,
    ( ( e1 != unit
      & e3 = op(e1,e1) )
    | e1 != op(e1,e3)
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f45,plain,
    ( ( e1 != unit
      & e0 = op(e2,e1) )
    | e1 != op(e2,e0)
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f46,plain,
    ( ( e1 != unit
      & e1 = op(e2,e1) )
    | e1 != op(e2,e1)
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f47,plain,
    ( ( e1 != unit
      & e2 = op(e2,e1) )
    | e1 != op(e2,e2)
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f48,plain,
    ( ( e1 != unit
      & e3 = op(e2,e1) )
    | e1 != op(e2,e3)
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f49,plain,
    ( ( e1 != unit
      & e4 = op(e2,e1) )
    | e1 != op(e2,e4)
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f51,plain,
    ( ( e1 != unit
      & e1 = op(e3,e1) )
    | e1 != op(e3,e1)
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f53,plain,
    ( ( e1 != unit
      & e3 = op(e3,e1) )
    | e1 != op(e3,e3)
    | ~ sP43 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f54,plain,
    ( ( e1 != unit
      & e4 = op(e3,e1) )
    | e1 != op(e3,e4)
    | ~ sP44 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f56,plain,
    ( ( e1 != unit
      & e1 = op(e4,e1) )
    | e1 != op(e4,e1)
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f57,plain,
    ( ( e1 != unit
      & e2 = op(e4,e1) )
    | e1 != op(e4,e2)
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f59,plain,
    ( ( e1 != unit
      & e4 = op(e4,e1) )
    | e1 != op(e4,e4)
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f61,plain,
    ( ( e2 != unit
      & e1 = op(e0,e2) )
    | e2 != op(e0,e1)
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f62,plain,
    ( ( e2 != unit
      & e2 = op(e0,e2) )
    | e2 != op(e0,e2)
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f63,plain,
    ( ( e2 != unit
      & e3 = op(e0,e2) )
    | e2 != op(e0,e3)
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f64,plain,
    ( ( e2 != unit
      & e4 = op(e0,e2) )
    | e2 != op(e0,e4)
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f66,plain,
    ( ( e2 != unit
      & e1 = op(e1,e2) )
    | e2 != op(e1,e1)
    | ~ sP56 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f67,plain,
    ( ( e2 != unit
      & e2 = op(e1,e2) )
    | e2 != op(e1,e2)
    | ~ sP57 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f72,plain,
    ( ( e2 != unit
      & e2 = op(e2,e2) )
    | e2 != op(e2,e2)
    | ~ sP62 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f73,plain,
    ( ( e2 != unit
      & e3 = op(e2,e2) )
    | e2 != op(e2,e3)
    | ~ sP63 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f76,plain,
    ( ( e2 != unit
      & e1 = op(e3,e2) )
    | e2 != op(e3,e1)
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f77,plain,
    ( ( e2 != unit
      & e2 = op(e3,e2) )
    | e2 != op(e3,e2)
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f78,plain,
    ( ( e2 != unit
      & e3 = op(e3,e2) )
    | e2 != op(e3,e3)
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f82,plain,
    ( ( e2 != unit
      & e2 = op(e4,e2) )
    | e2 != op(e4,e2)
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f84,plain,
    ( ( e2 != unit
      & e4 = op(e4,e2) )
    | e2 != op(e4,e4)
    | ~ sP74 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f87,plain,
    ( ( e3 != unit
      & e2 = op(e0,e3) )
    | e3 != op(e0,e2)
    | ~ sP77 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f88,plain,
    ( ( e3 != unit
      & e3 = op(e0,e3) )
    | e3 != op(e0,e3)
    | ~ sP78 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f91,plain,
    ( ( e3 != unit
      & e1 = op(e1,e3) )
    | e3 != op(e1,e1)
    | ~ sP81 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

fof(f92,plain,
    ( ( e3 != unit
      & e2 = op(e1,e3) )
    | e3 != op(e1,e2)
    | ~ sP82 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).

fof(f93,plain,
    ( ( e3 != unit
      & e3 = op(e1,e3) )
    | e3 != op(e1,e3)
    | ~ sP83 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).

fof(f95,plain,
    ( ( e3 != unit
      & e0 = op(e2,e3) )
    | e3 != op(e2,e0)
    | ~ sP85 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).

fof(f96,plain,
    ( ( e3 != unit
      & e1 = op(e2,e3) )
    | e3 != op(e2,e1)
    | ~ sP86 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).

fof(f98,plain,
    ( ( e3 != unit
      & e3 = op(e2,e3) )
    | e3 != op(e2,e3)
    | ~ sP88 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).

fof(f99,plain,
    ( ( e3 != unit
      & e4 = op(e2,e3) )
    | e3 != op(e2,e4)
    | ~ sP89 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).

fof(f102,plain,
    ( ( e3 != unit
      & e2 = op(e3,e3) )
    | e3 != op(e3,e2)
    | ~ sP92 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).

fof(f103,plain,
    ( ( e3 != unit
      & e3 = op(e3,e3) )
    | e3 != op(e3,e3)
    | ~ sP93 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).

fof(f104,plain,
    ( ( e3 != unit
      & e4 = op(e3,e3) )
    | e3 != op(e3,e4)
    | ~ sP94 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).

fof(f107,plain,
    ( ( e3 != unit
      & e2 = op(e4,e3) )
    | e3 != op(e4,e2)
    | ~ sP97 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).

fof(f108,plain,
    ( ( e3 != unit
      & e3 = op(e4,e3) )
    | e3 != op(e4,e3)
    | ~ sP98 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).

fof(f118,plain,
    ( ( e4 != unit
      & e3 = op(e1,e4) )
    | e4 != op(e1,e3)
    | ~ sP108 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).

fof(f119,plain,
    ( ( e4 != unit
      & e4 = op(e1,e4) )
    | e4 != op(e1,e4)
    | ~ sP109 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).

fof(f122,plain,
    ( ( e4 != unit
      & e2 = op(e2,e4) )
    | e4 != op(e2,e2)
    | ~ sP112 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).

fof(f125,plain,
    ( ( e4 != unit
      & e0 = op(e3,e4) )
    | e4 != op(e3,e0)
    | ~ sP115 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).

fof(f126,plain,
    ( ( e4 != unit
      & e1 = op(e3,e4) )
    | e4 != op(e3,e1)
    | ~ sP116 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).

fof(f127,plain,
    ( ( e4 != unit
      & e2 = op(e3,e4) )
    | e4 != op(e3,e2)
    | ~ sP117 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).

fof(f129,plain,
    ( ( e4 != unit
      & e4 = op(e3,e4) )
    | e4 != op(e3,e4)
    | ~ sP119 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).

fof(f136,plain,
    ( ( sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25 )
    | ~ sP126 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).

fof(f138,plain,
    ( ( sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75 )
    | ~ sP128 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).

fof(f140,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP130 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).

fof(f146,plain,
    ( ( e1 != op(op(e1,e1),e1)
      & e1 = op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP136 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).

fof(f152,plain,
    ( ( e2 != op(op(e2,e2),e2)
      & e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2) )
    | ~ sP142 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).

fof(f158,plain,
    ( ( e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3)
      & op(e3,e3) != op(e3,e3) )
    | ~ sP148 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])]) ).

fof(f9,plain,
    ( ( ( e4 != op(op(e4,e4),e4)
        & e4 = op(op(e4,e4),e4)
        & op(e4,e4) != op(e4,e4) )
      | ( e3 != op(op(e4,e3),e4)
        & e4 = op(op(e4,e3),e3)
        & op(e3,e4) != op(e4,e3) )
      | ( e2 != op(op(e4,e2),e4)
        & e4 = op(op(e4,e2),e2)
        & op(e2,e4) != op(e4,e2) )
      | ( e1 != op(op(e4,e1),e4)
        & e4 = op(op(e4,e1),e1)
        & op(e1,e4) != op(e4,e1) )
      | ( e0 != op(op(e4,e0),e4)
        & e4 = op(op(e4,e0),e0)
        & op(e0,e4) != op(e4,e0) )
      | ( e4 != op(op(e3,e4),e3)
        & e3 = op(op(e3,e4),e4)
        & op(e3,e4) != op(e4,e3) )
      | ( e3 != op(op(e3,e3),e3)
        & e3 = op(op(e3,e3),e3)
        & op(e3,e3) != op(e3,e3) )
      | ( e2 != op(op(e3,e2),e3)
        & e3 = op(op(e3,e2),e2)
        & op(e2,e3) != op(e3,e2) )
      | ( e1 != op(op(e3,e1),e3)
        & e3 = op(op(e3,e1),e1)
        & op(e1,e3) != op(e3,e1) )
      | ( e0 != op(op(e3,e0),e3)
        & e3 = op(op(e3,e0),e0)
        & op(e0,e3) != op(e3,e0) )
      | ( e4 != op(op(e2,e4),e2)
        & e2 = op(op(e2,e4),e4)
        & op(e2,e4) != op(e4,e2) )
      | ( e3 != op(op(e2,e3),e2)
        & e2 = op(op(e2,e3),e3)
        & op(e2,e3) != op(e3,e2) )
      | ( e2 != op(op(e2,e2),e2)
        & e2 = op(op(e2,e2),e2)
        & op(e2,e2) != op(e2,e2) )
      | ( e1 != op(op(e2,e1),e2)
        & e2 = op(op(e2,e1),e1)
        & op(e1,e2) != op(e2,e1) )
      | ( e0 != op(op(e2,e0),e2)
        & e2 = op(op(e2,e0),e0)
        & op(e0,e2) != op(e2,e0) )
      | ( e4 != op(op(e1,e4),e1)
        & e1 = op(op(e1,e4),e4)
        & op(e1,e4) != op(e4,e1) )
      | ( e3 != op(op(e1,e3),e1)
        & e1 = op(op(e1,e3),e3)
        & op(e1,e3) != op(e3,e1) )
      | ( e2 != op(op(e1,e2),e1)
        & e1 = op(op(e1,e2),e2)
        & op(e1,e2) != op(e2,e1) )
      | ( e1 != op(op(e1,e1),e1)
        & e1 = op(op(e1,e1),e1)
        & op(e1,e1) != op(e1,e1) )
      | ( e0 != op(op(e1,e0),e1)
        & e1 = op(op(e1,e0),e0)
        & op(e0,e1) != op(e1,e0) )
      | ( e4 != op(op(e0,e4),e0)
        & e0 = op(op(e0,e4),e4)
        & op(e0,e4) != op(e4,e0) )
      | ( e3 != op(op(e0,e3),e0)
        & e0 = op(op(e0,e3),e3)
        & op(e0,e3) != op(e3,e0) )
      | ( e2 != op(op(e0,e2),e0)
        & e0 = op(op(e0,e2),e2)
        & op(e0,e2) != op(e2,e0) )
      | ( e1 != op(op(e0,e1),e0)
        & e0 = op(op(e0,e1),e1)
        & op(e0,e1) != op(e1,e0) )
      | ( e0 != op(op(e0,e0),e0)
        & e0 = op(op(e0,e0),e0)
        & op(e0,e0) != op(e0,e0) ) )
    & ( ( ( ( e4 != unit
            & e4 = op(e4,e4) )
          | e4 != op(e4,e4) )
        & ( ( e4 != unit
            & e3 = op(e4,e4) )
          | e4 != op(e4,e3) )
        & ( ( e4 != unit
            & e2 = op(e4,e4) )
          | e4 != op(e4,e2) )
        & ( ( e4 != unit
            & e1 = op(e4,e4) )
          | e4 != op(e4,e1) )
        & ( ( e4 != unit
            & e0 = op(e4,e4) )
          | e4 != op(e4,e0) )
        & ( ( e4 != unit
            & e4 = op(e3,e4) )
          | e4 != op(e3,e4) )
        & ( ( e4 != unit
            & e3 = op(e3,e4) )
          | e4 != op(e3,e3) )
        & ( ( e4 != unit
            & e2 = op(e3,e4) )
          | e4 != op(e3,e2) )
        & ( ( e4 != unit
            & e1 = op(e3,e4) )
          | e4 != op(e3,e1) )
        & ( ( e4 != unit
            & e0 = op(e3,e4) )
          | e4 != op(e3,e0) )
        & ( ( e4 != unit
            & e4 = op(e2,e4) )
          | e4 != op(e2,e4) )
        & ( ( e4 != unit
            & e3 = op(e2,e4) )
          | e4 != op(e2,e3) )
        & ( ( e4 != unit
            & e2 = op(e2,e4) )
          | e4 != op(e2,e2) )
        & ( ( e4 != unit
            & e1 = op(e2,e4) )
          | e4 != op(e2,e1) )
        & ( ( e4 != unit
            & e0 = op(e2,e4) )
          | e4 != op(e2,e0) )
        & ( ( e4 != unit
            & e4 = op(e1,e4) )
          | e4 != op(e1,e4) )
        & ( ( e4 != unit
            & e3 = op(e1,e4) )
          | e4 != op(e1,e3) )
        & ( ( e4 != unit
            & e2 = op(e1,e4) )
          | e4 != op(e1,e2) )
        & ( ( e4 != unit
            & e1 = op(e1,e4) )
          | e4 != op(e1,e1) )
        & ( ( e4 != unit
            & e0 = op(e1,e4) )
          | e4 != op(e1,e0) )
        & ( ( e4 != unit
            & e4 = op(e0,e4) )
          | e4 != op(e0,e4) )
        & ( ( e4 != unit
            & e3 = op(e0,e4) )
          | e4 != op(e0,e3) )
        & ( ( e4 != unit
            & e2 = op(e0,e4) )
          | e4 != op(e0,e2) )
        & ( ( e4 != unit
            & e1 = op(e0,e4) )
          | e4 != op(e0,e1) )
        & ( ( e4 != unit
            & e0 = op(e0,e4) )
          | op(e0,e0) != e4 ) )
      | ( ( ( e3 != unit
            & e4 = op(e4,e3) )
          | e3 != op(e4,e4) )
        & ( ( e3 != unit
            & e3 = op(e4,e3) )
          | e3 != op(e4,e3) )
        & ( ( e3 != unit
            & e2 = op(e4,e3) )
          | e3 != op(e4,e2) )
        & ( ( e3 != unit
            & e1 = op(e4,e3) )
          | e3 != op(e4,e1) )
        & ( ( e3 != unit
            & e0 = op(e4,e3) )
          | e3 != op(e4,e0) )
        & ( ( e3 != unit
            & e4 = op(e3,e3) )
          | e3 != op(e3,e4) )
        & ( ( e3 != unit
            & e3 = op(e3,e3) )
          | e3 != op(e3,e3) )
        & ( ( e3 != unit
            & e2 = op(e3,e3) )
          | e3 != op(e3,e2) )
        & ( ( e3 != unit
            & e1 = op(e3,e3) )
          | e3 != op(e3,e1) )
        & ( ( e3 != unit
            & e0 = op(e3,e3) )
          | e3 != op(e3,e0) )
        & ( ( e3 != unit
            & e4 = op(e2,e3) )
          | e3 != op(e2,e4) )
        & ( ( e3 != unit
            & e3 = op(e2,e3) )
          | e3 != op(e2,e3) )
        & ( ( e3 != unit
            & e2 = op(e2,e3) )
          | e3 != op(e2,e2) )
        & ( ( e3 != unit
            & e1 = op(e2,e3) )
          | e3 != op(e2,e1) )
        & ( ( e3 != unit
            & e0 = op(e2,e3) )
          | e3 != op(e2,e0) )
        & ( ( e3 != unit
            & e4 = op(e1,e3) )
          | e3 != op(e1,e4) )
        & ( ( e3 != unit
            & e3 = op(e1,e3) )
          | e3 != op(e1,e3) )
        & ( ( e3 != unit
            & e2 = op(e1,e3) )
          | e3 != op(e1,e2) )
        & ( ( e3 != unit
            & e1 = op(e1,e3) )
          | e3 != op(e1,e1) )
        & ( ( e3 != unit
            & e0 = op(e1,e3) )
          | e3 != op(e1,e0) )
        & ( ( e3 != unit
            & e4 = op(e0,e3) )
          | e3 != op(e0,e4) )
        & ( ( e3 != unit
            & e3 = op(e0,e3) )
          | e3 != op(e0,e3) )
        & ( ( e3 != unit
            & e2 = op(e0,e3) )
          | e3 != op(e0,e2) )
        & ( ( e3 != unit
            & e1 = op(e0,e3) )
          | e3 != op(e0,e1) )
        & ( ( e3 != unit
            & e0 = op(e0,e3) )
          | op(e0,e0) != e3 ) )
      | ( ( ( e2 != unit
            & e4 = op(e4,e2) )
          | e2 != op(e4,e4) )
        & ( ( e2 != unit
            & e3 = op(e4,e2) )
          | e2 != op(e4,e3) )
        & ( ( e2 != unit
            & e2 = op(e4,e2) )
          | e2 != op(e4,e2) )
        & ( ( e2 != unit
            & e1 = op(e4,e2) )
          | e2 != op(e4,e1) )
        & ( ( e2 != unit
            & e0 = op(e4,e2) )
          | e2 != op(e4,e0) )
        & ( ( e2 != unit
            & e4 = op(e3,e2) )
          | e2 != op(e3,e4) )
        & ( ( e2 != unit
            & e3 = op(e3,e2) )
          | e2 != op(e3,e3) )
        & ( ( e2 != unit
            & e2 = op(e3,e2) )
          | e2 != op(e3,e2) )
        & ( ( e2 != unit
            & e1 = op(e3,e2) )
          | e2 != op(e3,e1) )
        & ( ( e2 != unit
            & e0 = op(e3,e2) )
          | e2 != op(e3,e0) )
        & ( ( e2 != unit
            & e4 = op(e2,e2) )
          | e2 != op(e2,e4) )
        & ( ( e2 != unit
            & e3 = op(e2,e2) )
          | e2 != op(e2,e3) )
        & ( ( e2 != unit
            & e2 = op(e2,e2) )
          | e2 != op(e2,e2) )
        & ( ( e2 != unit
            & e1 = op(e2,e2) )
          | e2 != op(e2,e1) )
        & ( ( e2 != unit
            & e0 = op(e2,e2) )
          | e2 != op(e2,e0) )
        & ( ( e2 != unit
            & e4 = op(e1,e2) )
          | e2 != op(e1,e4) )
        & ( ( e2 != unit
            & e3 = op(e1,e2) )
          | e2 != op(e1,e3) )
        & ( ( e2 != unit
            & e2 = op(e1,e2) )
          | e2 != op(e1,e2) )
        & ( ( e2 != unit
            & e1 = op(e1,e2) )
          | e2 != op(e1,e1) )
        & ( ( e2 != unit
            & e0 = op(e1,e2) )
          | e2 != op(e1,e0) )
        & ( ( e2 != unit
            & e4 = op(e0,e2) )
          | e2 != op(e0,e4) )
        & ( ( e2 != unit
            & e3 = op(e0,e2) )
          | e2 != op(e0,e3) )
        & ( ( e2 != unit
            & e2 = op(e0,e2) )
          | e2 != op(e0,e2) )
        & ( ( e2 != unit
            & e1 = op(e0,e2) )
          | e2 != op(e0,e1) )
        & ( ( e2 != unit
            & e0 = op(e0,e2) )
          | op(e0,e0) != e2 ) )
      | ( ( ( e1 != unit
            & e4 = op(e4,e1) )
          | e1 != op(e4,e4) )
        & ( ( e1 != unit
            & e3 = op(e4,e1) )
          | e1 != op(e4,e3) )
        & ( ( e1 != unit
            & e2 = op(e4,e1) )
          | e1 != op(e4,e2) )
        & ( ( e1 != unit
            & e1 = op(e4,e1) )
          | e1 != op(e4,e1) )
        & ( ( e1 != unit
            & e0 = op(e4,e1) )
          | e1 != op(e4,e0) )
        & ( ( e1 != unit
            & e4 = op(e3,e1) )
          | e1 != op(e3,e4) )
        & ( ( e1 != unit
            & e3 = op(e3,e1) )
          | e1 != op(e3,e3) )
        & ( ( e1 != unit
            & e2 = op(e3,e1) )
          | e1 != op(e3,e2) )
        & ( ( e1 != unit
            & e1 = op(e3,e1) )
          | e1 != op(e3,e1) )
        & ( ( e1 != unit
            & e0 = op(e3,e1) )
          | e1 != op(e3,e0) )
        & ( ( e1 != unit
            & e4 = op(e2,e1) )
          | e1 != op(e2,e4) )
        & ( ( e1 != unit
            & e3 = op(e2,e1) )
          | e1 != op(e2,e3) )
        & ( ( e1 != unit
            & e2 = op(e2,e1) )
          | e1 != op(e2,e2) )
        & ( ( e1 != unit
            & e1 = op(e2,e1) )
          | e1 != op(e2,e1) )
        & ( ( e1 != unit
            & e0 = op(e2,e1) )
          | e1 != op(e2,e0) )
        & ( ( e1 != unit
            & e4 = op(e1,e1) )
          | e1 != op(e1,e4) )
        & ( ( e1 != unit
            & e3 = op(e1,e1) )
          | e1 != op(e1,e3) )
        & ( ( e1 != unit
            & e2 = op(e1,e1) )
          | e1 != op(e1,e2) )
        & ( ( e1 != unit
            & e1 = op(e1,e1) )
          | e1 != op(e1,e1) )
        & ( ( e1 != unit
            & e0 = op(e1,e1) )
          | e1 != op(e1,e0) )
        & ( ( e1 != unit
            & e4 = op(e0,e1) )
          | e1 != op(e0,e4) )
        & ( ( e1 != unit
            & e3 = op(e0,e1) )
          | e1 != op(e0,e3) )
        & ( ( e1 != unit
            & e2 = op(e0,e1) )
          | e1 != op(e0,e2) )
        & ( ( e1 != unit
            & e1 = op(e0,e1) )
          | e1 != op(e0,e1) )
        & ( ( e1 != unit
            & e0 = op(e0,e1) )
          | op(e0,e0) != e1 ) )
      | ( ( ( e0 != unit
            & e4 = op(e4,e0) )
          | e0 != op(e4,e4) )
        & ( ( e0 != unit
            & e3 = op(e4,e0) )
          | e0 != op(e4,e3) )
        & ( ( e0 != unit
            & e2 = op(e4,e0) )
          | e0 != op(e4,e2) )
        & ( ( e0 != unit
            & e1 = op(e4,e0) )
          | e0 != op(e4,e1) )
        & ( ( e0 != unit
            & e0 = op(e4,e0) )
          | e0 != op(e4,e0) )
        & ( ( e0 != unit
            & e4 = op(e3,e0) )
          | e0 != op(e3,e4) )
        & ( ( e0 != unit
            & e3 = op(e3,e0) )
          | e0 != op(e3,e3) )
        & ( ( e0 != unit
            & e2 = op(e3,e0) )
          | e0 != op(e3,e2) )
        & ( ( e0 != unit
            & e1 = op(e3,e0) )
          | e0 != op(e3,e1) )
        & ( ( e0 != unit
            & e0 = op(e3,e0) )
          | e0 != op(e3,e0) )
        & ( ( e0 != unit
            & e4 = op(e2,e0) )
          | e0 != op(e2,e4) )
        & ( ( e0 != unit
            & e3 = op(e2,e0) )
          | e0 != op(e2,e3) )
        & ( ( e0 != unit
            & e2 = op(e2,e0) )
          | e0 != op(e2,e2) )
        & ( ( e0 != unit
            & e1 = op(e2,e0) )
          | e0 != op(e2,e1) )
        & ( ( e0 != unit
            & e0 = op(e2,e0) )
          | e0 != op(e2,e0) )
        & ( ( e0 != unit
            & e4 = op(e1,e0) )
          | e0 != op(e1,e4) )
        & ( ( e0 != unit
            & e3 = op(e1,e0) )
          | e0 != op(e1,e3) )
        & ( ( e0 != unit
            & e2 = op(e1,e0) )
          | e0 != op(e1,e2) )
        & ( ( e0 != unit
            & e1 = op(e1,e0) )
          | e0 != op(e1,e1) )
        & ( ( e0 != unit
            & e0 = op(e1,e0) )
          | e0 != op(e1,e0) )
        & ( ( e0 != unit
            & op(e0,e0) = e4 )
          | e0 != op(e0,e4) )
        & ( ( e0 != unit
            & op(e0,e0) = e3 )
          | e0 != op(e0,e3) )
        & ( ( e0 != unit
            & op(e0,e0) = e2 )
          | e0 != op(e0,e2) )
        & ( ( e0 != unit
            & op(e0,e0) = e1 )
          | e0 != op(e0,e1) )
        & ( ( e0 != unit
            & e0 = op(e0,e0) )
          | e0 != op(e0,e0) ) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( e4 != op(op(e4,e4),e4)
            & e4 = op(op(e4,e4),e4)
            & op(e4,e4) != op(e4,e4) )
          | ( e3 != op(op(e4,e3),e4)
            & e4 = op(op(e4,e3),e3)
            & op(e3,e4) != op(e4,e3) )
          | ( e2 != op(op(e4,e2),e4)
            & e4 = op(op(e4,e2),e2)
            & op(e2,e4) != op(e4,e2) )
          | ( e1 != op(op(e4,e1),e4)
            & e4 = op(op(e4,e1),e1)
            & op(e1,e4) != op(e4,e1) )
          | ( e0 != op(op(e4,e0),e4)
            & e4 = op(op(e4,e0),e0)
            & op(e0,e4) != op(e4,e0) )
          | ( e4 != op(op(e3,e4),e3)
            & e3 = op(op(e3,e4),e4)
            & op(e3,e4) != op(e4,e3) )
          | ( e3 != op(op(e3,e3),e3)
            & e3 = op(op(e3,e3),e3)
            & op(e3,e3) != op(e3,e3) )
          | ( e2 != op(op(e3,e2),e3)
            & e3 = op(op(e3,e2),e2)
            & op(e2,e3) != op(e3,e2) )
          | ( e1 != op(op(e3,e1),e3)
            & e3 = op(op(e3,e1),e1)
            & op(e1,e3) != op(e3,e1) )
          | ( e0 != op(op(e3,e0),e3)
            & e3 = op(op(e3,e0),e0)
            & op(e0,e3) != op(e3,e0) )
          | ( e4 != op(op(e2,e4),e2)
            & e2 = op(op(e2,e4),e4)
            & op(e2,e4) != op(e4,e2) )
          | ( e3 != op(op(e2,e3),e2)
            & e2 = op(op(e2,e3),e3)
            & op(e2,e3) != op(e3,e2) )
          | ( e2 != op(op(e2,e2),e2)
            & e2 = op(op(e2,e2),e2)
            & op(e2,e2) != op(e2,e2) )
          | ( e1 != op(op(e2,e1),e2)
            & e2 = op(op(e2,e1),e1)
            & op(e1,e2) != op(e2,e1) )
          | ( e0 != op(op(e2,e0),e2)
            & e2 = op(op(e2,e0),e0)
            & op(e0,e2) != op(e2,e0) )
          | ( e4 != op(op(e1,e4),e1)
            & e1 = op(op(e1,e4),e4)
            & op(e1,e4) != op(e4,e1) )
          | ( e3 != op(op(e1,e3),e1)
            & e1 = op(op(e1,e3),e3)
            & op(e1,e3) != op(e3,e1) )
          | ( e2 != op(op(e1,e2),e1)
            & e1 = op(op(e1,e2),e2)
            & op(e1,e2) != op(e2,e1) )
          | ( e1 != op(op(e1,e1),e1)
            & e1 = op(op(e1,e1),e1)
            & op(e1,e1) != op(e1,e1) )
          | ( e0 != op(op(e1,e0),e1)
            & e1 = op(op(e1,e0),e0)
            & op(e0,e1) != op(e1,e0) )
          | ( e4 != op(op(e0,e4),e0)
            & e0 = op(op(e0,e4),e4)
            & op(e0,e4) != op(e4,e0) )
          | ( e3 != op(op(e0,e3),e0)
            & e0 = op(op(e0,e3),e3)
            & op(e0,e3) != op(e3,e0) )
          | ( e2 != op(op(e0,e2),e0)
            & e0 = op(op(e0,e2),e2)
            & op(e0,e2) != op(e2,e0) )
          | ( e1 != op(op(e0,e1),e0)
            & e0 = op(op(e0,e1),e1)
            & op(e0,e1) != op(e1,e0) )
          | ( e0 != op(op(e0,e0),e0)
            & e0 = op(op(e0,e0),e0)
            & op(e0,e0) != op(e0,e0) ) )
        & ( ( ( ( e4 != unit
                & e4 = op(e4,e4) )
              | e4 != op(e4,e4) )
            & ( ( e4 != unit
                & e3 = op(e4,e4) )
              | e4 != op(e4,e3) )
            & ( ( e4 != unit
                & e2 = op(e4,e4) )
              | e4 != op(e4,e2) )
            & ( ( e4 != unit
                & e1 = op(e4,e4) )
              | e4 != op(e4,e1) )
            & ( ( e4 != unit
                & e0 = op(e4,e4) )
              | e4 != op(e4,e0) )
            & ( ( e4 != unit
                & e4 = op(e3,e4) )
              | e4 != op(e3,e4) )
            & ( ( e4 != unit
                & e3 = op(e3,e4) )
              | e4 != op(e3,e3) )
            & ( ( e4 != unit
                & e2 = op(e3,e4) )
              | e4 != op(e3,e2) )
            & ( ( e4 != unit
                & e1 = op(e3,e4) )
              | e4 != op(e3,e1) )
            & ( ( e4 != unit
                & e0 = op(e3,e4) )
              | e4 != op(e3,e0) )
            & ( ( e4 != unit
                & e4 = op(e2,e4) )
              | e4 != op(e2,e4) )
            & ( ( e4 != unit
                & e3 = op(e2,e4) )
              | e4 != op(e2,e3) )
            & ( ( e4 != unit
                & e2 = op(e2,e4) )
              | e4 != op(e2,e2) )
            & ( ( e4 != unit
                & e1 = op(e2,e4) )
              | e4 != op(e2,e1) )
            & ( ( e4 != unit
                & e0 = op(e2,e4) )
              | e4 != op(e2,e0) )
            & ( ( e4 != unit
                & e4 = op(e1,e4) )
              | e4 != op(e1,e4) )
            & ( ( e4 != unit
                & e3 = op(e1,e4) )
              | e4 != op(e1,e3) )
            & ( ( e4 != unit
                & e2 = op(e1,e4) )
              | e4 != op(e1,e2) )
            & ( ( e4 != unit
                & e1 = op(e1,e4) )
              | e4 != op(e1,e1) )
            & ( ( e4 != unit
                & e0 = op(e1,e4) )
              | e4 != op(e1,e0) )
            & ( ( e4 != unit
                & e4 = op(e0,e4) )
              | e4 != op(e0,e4) )
            & ( ( e4 != unit
                & e3 = op(e0,e4) )
              | e4 != op(e0,e3) )
            & ( ( e4 != unit
                & e2 = op(e0,e4) )
              | e4 != op(e0,e2) )
            & ( ( e4 != unit
                & e1 = op(e0,e4) )
              | e4 != op(e0,e1) )
            & ( ( e4 != unit
                & e0 = op(e0,e4) )
              | op(e0,e0) != e4 ) )
          | ( ( ( e3 != unit
                & e4 = op(e4,e3) )
              | e3 != op(e4,e4) )
            & ( ( e3 != unit
                & e3 = op(e4,e3) )
              | e3 != op(e4,e3) )
            & ( ( e3 != unit
                & e2 = op(e4,e3) )
              | e3 != op(e4,e2) )
            & ( ( e3 != unit
                & e1 = op(e4,e3) )
              | e3 != op(e4,e1) )
            & ( ( e3 != unit
                & e0 = op(e4,e3) )
              | e3 != op(e4,e0) )
            & ( ( e3 != unit
                & e4 = op(e3,e3) )
              | e3 != op(e3,e4) )
            & ( ( e3 != unit
                & e3 = op(e3,e3) )
              | e3 != op(e3,e3) )
            & ( ( e3 != unit
                & e2 = op(e3,e3) )
              | e3 != op(e3,e2) )
            & ( ( e3 != unit
                & e1 = op(e3,e3) )
              | e3 != op(e3,e1) )
            & ( ( e3 != unit
                & e0 = op(e3,e3) )
              | e3 != op(e3,e0) )
            & ( ( e3 != unit
                & e4 = op(e2,e3) )
              | e3 != op(e2,e4) )
            & ( ( e3 != unit
                & e3 = op(e2,e3) )
              | e3 != op(e2,e3) )
            & ( ( e3 != unit
                & e2 = op(e2,e3) )
              | e3 != op(e2,e2) )
            & ( ( e3 != unit
                & e1 = op(e2,e3) )
              | e3 != op(e2,e1) )
            & ( ( e3 != unit
                & e0 = op(e2,e3) )
              | e3 != op(e2,e0) )
            & ( ( e3 != unit
                & e4 = op(e1,e3) )
              | e3 != op(e1,e4) )
            & ( ( e3 != unit
                & e3 = op(e1,e3) )
              | e3 != op(e1,e3) )
            & ( ( e3 != unit
                & e2 = op(e1,e3) )
              | e3 != op(e1,e2) )
            & ( ( e3 != unit
                & e1 = op(e1,e3) )
              | e3 != op(e1,e1) )
            & ( ( e3 != unit
                & e0 = op(e1,e3) )
              | e3 != op(e1,e0) )
            & ( ( e3 != unit
                & e4 = op(e0,e3) )
              | e3 != op(e0,e4) )
            & ( ( e3 != unit
                & e3 = op(e0,e3) )
              | e3 != op(e0,e3) )
            & ( ( e3 != unit
                & e2 = op(e0,e3) )
              | e3 != op(e0,e2) )
            & ( ( e3 != unit
                & e1 = op(e0,e3) )
              | e3 != op(e0,e1) )
            & ( ( e3 != unit
                & e0 = op(e0,e3) )
              | op(e0,e0) != e3 ) )
          | ( ( ( e2 != unit
                & e4 = op(e4,e2) )
              | e2 != op(e4,e4) )
            & ( ( e2 != unit
                & e3 = op(e4,e2) )
              | e2 != op(e4,e3) )
            & ( ( e2 != unit
                & e2 = op(e4,e2) )
              | e2 != op(e4,e2) )
            & ( ( e2 != unit
                & e1 = op(e4,e2) )
              | e2 != op(e4,e1) )
            & ( ( e2 != unit
                & e0 = op(e4,e2) )
              | e2 != op(e4,e0) )
            & ( ( e2 != unit
                & e4 = op(e3,e2) )
              | e2 != op(e3,e4) )
            & ( ( e2 != unit
                & e3 = op(e3,e2) )
              | e2 != op(e3,e3) )
            & ( ( e2 != unit
                & e2 = op(e3,e2) )
              | e2 != op(e3,e2) )
            & ( ( e2 != unit
                & e1 = op(e3,e2) )
              | e2 != op(e3,e1) )
            & ( ( e2 != unit
                & e0 = op(e3,e2) )
              | e2 != op(e3,e0) )
            & ( ( e2 != unit
                & e4 = op(e2,e2) )
              | e2 != op(e2,e4) )
            & ( ( e2 != unit
                & e3 = op(e2,e2) )
              | e2 != op(e2,e3) )
            & ( ( e2 != unit
                & e2 = op(e2,e2) )
              | e2 != op(e2,e2) )
            & ( ( e2 != unit
                & e1 = op(e2,e2) )
              | e2 != op(e2,e1) )
            & ( ( e2 != unit
                & e0 = op(e2,e2) )
              | e2 != op(e2,e0) )
            & ( ( e2 != unit
                & e4 = op(e1,e2) )
              | e2 != op(e1,e4) )
            & ( ( e2 != unit
                & e3 = op(e1,e2) )
              | e2 != op(e1,e3) )
            & ( ( e2 != unit
                & e2 = op(e1,e2) )
              | e2 != op(e1,e2) )
            & ( ( e2 != unit
                & e1 = op(e1,e2) )
              | e2 != op(e1,e1) )
            & ( ( e2 != unit
                & e0 = op(e1,e2) )
              | e2 != op(e1,e0) )
            & ( ( e2 != unit
                & e4 = op(e0,e2) )
              | e2 != op(e0,e4) )
            & ( ( e2 != unit
                & e3 = op(e0,e2) )
              | e2 != op(e0,e3) )
            & ( ( e2 != unit
                & e2 = op(e0,e2) )
              | e2 != op(e0,e2) )
            & ( ( e2 != unit
                & e1 = op(e0,e2) )
              | e2 != op(e0,e1) )
            & ( ( e2 != unit
                & e0 = op(e0,e2) )
              | op(e0,e0) != e2 ) )
          | ( ( ( e1 != unit
                & e4 = op(e4,e1) )
              | e1 != op(e4,e4) )
            & ( ( e1 != unit
                & e3 = op(e4,e1) )
              | e1 != op(e4,e3) )
            & ( ( e1 != unit
                & e2 = op(e4,e1) )
              | e1 != op(e4,e2) )
            & ( ( e1 != unit
                & e1 = op(e4,e1) )
              | e1 != op(e4,e1) )
            & ( ( e1 != unit
                & e0 = op(e4,e1) )
              | e1 != op(e4,e0) )
            & ( ( e1 != unit
                & e4 = op(e3,e1) )
              | e1 != op(e3,e4) )
            & ( ( e1 != unit
                & e3 = op(e3,e1) )
              | e1 != op(e3,e3) )
            & ( ( e1 != unit
                & e2 = op(e3,e1) )
              | e1 != op(e3,e2) )
            & ( ( e1 != unit
                & e1 = op(e3,e1) )
              | e1 != op(e3,e1) )
            & ( ( e1 != unit
                & e0 = op(e3,e1) )
              | e1 != op(e3,e0) )
            & ( ( e1 != unit
                & e4 = op(e2,e1) )
              | e1 != op(e2,e4) )
            & ( ( e1 != unit
                & e3 = op(e2,e1) )
              | e1 != op(e2,e3) )
            & ( ( e1 != unit
                & e2 = op(e2,e1) )
              | e1 != op(e2,e2) )
            & ( ( e1 != unit
                & e1 = op(e2,e1) )
              | e1 != op(e2,e1) )
            & ( ( e1 != unit
                & e0 = op(e2,e1) )
              | e1 != op(e2,e0) )
            & ( ( e1 != unit
                & e4 = op(e1,e1) )
              | e1 != op(e1,e4) )
            & ( ( e1 != unit
                & e3 = op(e1,e1) )
              | e1 != op(e1,e3) )
            & ( ( e1 != unit
                & e2 = op(e1,e1) )
              | e1 != op(e1,e2) )
            & ( ( e1 != unit
                & e1 = op(e1,e1) )
              | e1 != op(e1,e1) )
            & ( ( e1 != unit
                & e0 = op(e1,e1) )
              | e1 != op(e1,e0) )
            & ( ( e1 != unit
                & e4 = op(e0,e1) )
              | e1 != op(e0,e4) )
            & ( ( e1 != unit
                & e3 = op(e0,e1) )
              | e1 != op(e0,e3) )
            & ( ( e1 != unit
                & e2 = op(e0,e1) )
              | e1 != op(e0,e2) )
            & ( ( e1 != unit
                & e1 = op(e0,e1) )
              | e1 != op(e0,e1) )
            & ( ( e1 != unit
                & e0 = op(e0,e1) )
              | op(e0,e0) != e1 ) )
          | ( ( ( e0 != unit
                & e4 = op(e4,e0) )
              | e0 != op(e4,e4) )
            & ( ( e0 != unit
                & e3 = op(e4,e0) )
              | e0 != op(e4,e3) )
            & ( ( e0 != unit
                & e2 = op(e4,e0) )
              | e0 != op(e4,e2) )
            & ( ( e0 != unit
                & e1 = op(e4,e0) )
              | e0 != op(e4,e1) )
            & ( ( e0 != unit
                & e0 = op(e4,e0) )
              | e0 != op(e4,e0) )
            & ( ( e0 != unit
                & e4 = op(e3,e0) )
              | e0 != op(e3,e4) )
            & ( ( e0 != unit
                & e3 = op(e3,e0) )
              | e0 != op(e3,e3) )
            & ( ( e0 != unit
                & e2 = op(e3,e0) )
              | e0 != op(e3,e2) )
            & ( ( e0 != unit
                & e1 = op(e3,e0) )
              | e0 != op(e3,e1) )
            & ( ( e0 != unit
                & e0 = op(e3,e0) )
              | e0 != op(e3,e0) )
            & ( ( e0 != unit
                & e4 = op(e2,e0) )
              | e0 != op(e2,e4) )
            & ( ( e0 != unit
                & e3 = op(e2,e0) )
              | e0 != op(e2,e3) )
            & ( ( e0 != unit
                & e2 = op(e2,e0) )
              | e0 != op(e2,e2) )
            & ( ( e0 != unit
                & e1 = op(e2,e0) )
              | e0 != op(e2,e1) )
            & ( ( e0 != unit
                & e0 = op(e2,e0) )
              | e0 != op(e2,e0) )
            & ( ( e0 != unit
                & e4 = op(e1,e0) )
              | e0 != op(e1,e4) )
            & ( ( e0 != unit
                & e3 = op(e1,e0) )
              | e0 != op(e1,e3) )
            & ( ( e0 != unit
                & e2 = op(e1,e0) )
              | e0 != op(e1,e2) )
            & ( ( e0 != unit
                & e1 = op(e1,e0) )
              | e0 != op(e1,e1) )
            & ( ( e0 != unit
                & e0 = op(e1,e0) )
              | e0 != op(e1,e0) )
            & ( ( e0 != unit
                & op(e0,e0) = e4 )
              | e0 != op(e0,e4) )
            & ( ( e0 != unit
                & op(e0,e0) = e3 )
              | e0 != op(e0,e3) )
            & ( ( e0 != unit
                & op(e0,e0) = e2 )
              | e0 != op(e0,e2) )
            & ( ( e0 != unit
                & op(e0,e0) = e1 )
              | e0 != op(e0,e1) )
            & ( ( e0 != unit
                & e0 = op(e0,e0) )
              | e0 != op(e0,e0) ) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( e4 != op(op(e4,e4),e4)
          & e4 = op(op(e4,e4),e4)
          & op(e4,e4) != op(e4,e4) )
        | ( e3 != op(op(e4,e3),e4)
          & e4 = op(op(e4,e3),e3)
          & op(e3,e4) != op(e4,e3) )
        | ( e2 != op(op(e4,e2),e4)
          & e4 = op(op(e4,e2),e2)
          & op(e2,e4) != op(e4,e2) )
        | ( e1 != op(op(e4,e1),e4)
          & e4 = op(op(e4,e1),e1)
          & op(e1,e4) != op(e4,e1) )
        | ( e0 != op(op(e4,e0),e4)
          & e4 = op(op(e4,e0),e0)
          & op(e0,e4) != op(e4,e0) )
        | ( e4 != op(op(e3,e4),e3)
          & e3 = op(op(e3,e4),e4)
          & op(e3,e4) != op(e4,e3) )
        | ( e3 != op(op(e3,e3),e3)
          & e3 = op(op(e3,e3),e3)
          & op(e3,e3) != op(e3,e3) )
        | ( e2 != op(op(e3,e2),e3)
          & e3 = op(op(e3,e2),e2)
          & op(e2,e3) != op(e3,e2) )
        | ( e1 != op(op(e3,e1),e3)
          & e3 = op(op(e3,e1),e1)
          & op(e1,e3) != op(e3,e1) )
        | ( e0 != op(op(e3,e0),e3)
          & e3 = op(op(e3,e0),e0)
          & op(e0,e3) != op(e3,e0) )
        | ( e4 != op(op(e2,e4),e2)
          & e2 = op(op(e2,e4),e4)
          & op(e2,e4) != op(e4,e2) )
        | ( e3 != op(op(e2,e3),e2)
          & e2 = op(op(e2,e3),e3)
          & op(e2,e3) != op(e3,e2) )
        | ( e2 != op(op(e2,e2),e2)
          & e2 = op(op(e2,e2),e2)
          & op(e2,e2) != op(e2,e2) )
        | ( e1 != op(op(e2,e1),e2)
          & e2 = op(op(e2,e1),e1)
          & op(e1,e2) != op(e2,e1) )
        | ( e0 != op(op(e2,e0),e2)
          & e2 = op(op(e2,e0),e0)
          & op(e0,e2) != op(e2,e0) )
        | ( e4 != op(op(e1,e4),e1)
          & e1 = op(op(e1,e4),e4)
          & op(e1,e4) != op(e4,e1) )
        | ( e3 != op(op(e1,e3),e1)
          & e1 = op(op(e1,e3),e3)
          & op(e1,e3) != op(e3,e1) )
        | ( e2 != op(op(e1,e2),e1)
          & e1 = op(op(e1,e2),e2)
          & op(e1,e2) != op(e2,e1) )
        | ( e1 != op(op(e1,e1),e1)
          & e1 = op(op(e1,e1),e1)
          & op(e1,e1) != op(e1,e1) )
        | ( e0 != op(op(e1,e0),e1)
          & e1 = op(op(e1,e0),e0)
          & op(e0,e1) != op(e1,e0) )
        | ( e4 != op(op(e0,e4),e0)
          & e0 = op(op(e0,e4),e4)
          & op(e0,e4) != op(e4,e0) )
        | ( e3 != op(op(e0,e3),e0)
          & e0 = op(op(e0,e3),e3)
          & op(e0,e3) != op(e3,e0) )
        | ( e2 != op(op(e0,e2),e0)
          & e0 = op(op(e0,e2),e2)
          & op(e0,e2) != op(e2,e0) )
        | ( e1 != op(op(e0,e1),e0)
          & e0 = op(op(e0,e1),e1)
          & op(e0,e1) != op(e1,e0) )
        | ( e0 != op(op(e0,e0),e0)
          & e0 = op(op(e0,e0),e0)
          & op(e0,e0) != op(e0,e0) ) )
      & ( ( ( ( e4 != unit
              & e4 = op(e4,e4) )
            | e4 != op(e4,e4) )
          & ( ( e4 != unit
              & e3 = op(e4,e4) )
            | e4 != op(e4,e3) )
          & ( ( e4 != unit
              & e2 = op(e4,e4) )
            | e4 != op(e4,e2) )
          & ( ( e4 != unit
              & e1 = op(e4,e4) )
            | e4 != op(e4,e1) )
          & ( ( e4 != unit
              & e0 = op(e4,e4) )
            | e4 != op(e4,e0) )
          & ( ( e4 != unit
              & e4 = op(e3,e4) )
            | e4 != op(e3,e4) )
          & ( ( e4 != unit
              & e3 = op(e3,e4) )
            | e4 != op(e3,e3) )
          & ( ( e4 != unit
              & e2 = op(e3,e4) )
            | e4 != op(e3,e2) )
          & ( ( e4 != unit
              & e1 = op(e3,e4) )
            | e4 != op(e3,e1) )
          & ( ( e4 != unit
              & e0 = op(e3,e4) )
            | e4 != op(e3,e0) )
          & ( ( e4 != unit
              & e4 = op(e2,e4) )
            | e4 != op(e2,e4) )
          & ( ( e4 != unit
              & e3 = op(e2,e4) )
            | e4 != op(e2,e3) )
          & ( ( e4 != unit
              & e2 = op(e2,e4) )
            | e4 != op(e2,e2) )
          & ( ( e4 != unit
              & e1 = op(e2,e4) )
            | e4 != op(e2,e1) )
          & ( ( e4 != unit
              & e0 = op(e2,e4) )
            | e4 != op(e2,e0) )
          & ( ( e4 != unit
              & e4 = op(e1,e4) )
            | e4 != op(e1,e4) )
          & ( ( e4 != unit
              & e3 = op(e1,e4) )
            | e4 != op(e1,e3) )
          & ( ( e4 != unit
              & e2 = op(e1,e4) )
            | e4 != op(e1,e2) )
          & ( ( e4 != unit
              & e1 = op(e1,e4) )
            | e4 != op(e1,e1) )
          & ( ( e4 != unit
              & e0 = op(e1,e4) )
            | e4 != op(e1,e0) )
          & ( ( e4 != unit
              & e4 = op(e0,e4) )
            | e4 != op(e0,e4) )
          & ( ( e4 != unit
              & e3 = op(e0,e4) )
            | e4 != op(e0,e3) )
          & ( ( e4 != unit
              & e2 = op(e0,e4) )
            | e4 != op(e0,e2) )
          & ( ( e4 != unit
              & e1 = op(e0,e4) )
            | e4 != op(e0,e1) )
          & ( ( e4 != unit
              & e0 = op(e0,e4) )
            | op(e0,e0) != e4 ) )
        | ( ( ( e3 != unit
              & e4 = op(e4,e3) )
            | e3 != op(e4,e4) )
          & ( ( e3 != unit
              & e3 = op(e4,e3) )
            | e3 != op(e4,e3) )
          & ( ( e3 != unit
              & e2 = op(e4,e3) )
            | e3 != op(e4,e2) )
          & ( ( e3 != unit
              & e1 = op(e4,e3) )
            | e3 != op(e4,e1) )
          & ( ( e3 != unit
              & e0 = op(e4,e3) )
            | e3 != op(e4,e0) )
          & ( ( e3 != unit
              & e4 = op(e3,e3) )
            | e3 != op(e3,e4) )
          & ( ( e3 != unit
              & e3 = op(e3,e3) )
            | e3 != op(e3,e3) )
          & ( ( e3 != unit
              & e2 = op(e3,e3) )
            | e3 != op(e3,e2) )
          & ( ( e3 != unit
              & e1 = op(e3,e3) )
            | e3 != op(e3,e1) )
          & ( ( e3 != unit
              & e0 = op(e3,e3) )
            | e3 != op(e3,e0) )
          & ( ( e3 != unit
              & e4 = op(e2,e3) )
            | e3 != op(e2,e4) )
          & ( ( e3 != unit
              & e3 = op(e2,e3) )
            | e3 != op(e2,e3) )
          & ( ( e3 != unit
              & e2 = op(e2,e3) )
            | e3 != op(e2,e2) )
          & ( ( e3 != unit
              & e1 = op(e2,e3) )
            | e3 != op(e2,e1) )
          & ( ( e3 != unit
              & e0 = op(e2,e3) )
            | e3 != op(e2,e0) )
          & ( ( e3 != unit
              & e4 = op(e1,e3) )
            | e3 != op(e1,e4) )
          & ( ( e3 != unit
              & e3 = op(e1,e3) )
            | e3 != op(e1,e3) )
          & ( ( e3 != unit
              & e2 = op(e1,e3) )
            | e3 != op(e1,e2) )
          & ( ( e3 != unit
              & e1 = op(e1,e3) )
            | e3 != op(e1,e1) )
          & ( ( e3 != unit
              & e0 = op(e1,e3) )
            | e3 != op(e1,e0) )
          & ( ( e3 != unit
              & e4 = op(e0,e3) )
            | e3 != op(e0,e4) )
          & ( ( e3 != unit
              & e3 = op(e0,e3) )
            | e3 != op(e0,e3) )
          & ( ( e3 != unit
              & e2 = op(e0,e3) )
            | e3 != op(e0,e2) )
          & ( ( e3 != unit
              & e1 = op(e0,e3) )
            | e3 != op(e0,e1) )
          & ( ( e3 != unit
              & e0 = op(e0,e3) )
            | op(e0,e0) != e3 ) )
        | ( ( ( e2 != unit
              & e4 = op(e4,e2) )
            | e2 != op(e4,e4) )
          & ( ( e2 != unit
              & e3 = op(e4,e2) )
            | e2 != op(e4,e3) )
          & ( ( e2 != unit
              & e2 = op(e4,e2) )
            | e2 != op(e4,e2) )
          & ( ( e2 != unit
              & e1 = op(e4,e2) )
            | e2 != op(e4,e1) )
          & ( ( e2 != unit
              & e0 = op(e4,e2) )
            | e2 != op(e4,e0) )
          & ( ( e2 != unit
              & e4 = op(e3,e2) )
            | e2 != op(e3,e4) )
          & ( ( e2 != unit
              & e3 = op(e3,e2) )
            | e2 != op(e3,e3) )
          & ( ( e2 != unit
              & e2 = op(e3,e2) )
            | e2 != op(e3,e2) )
          & ( ( e2 != unit
              & e1 = op(e3,e2) )
            | e2 != op(e3,e1) )
          & ( ( e2 != unit
              & e0 = op(e3,e2) )
            | e2 != op(e3,e0) )
          & ( ( e2 != unit
              & e4 = op(e2,e2) )
            | e2 != op(e2,e4) )
          & ( ( e2 != unit
              & e3 = op(e2,e2) )
            | e2 != op(e2,e3) )
          & ( ( e2 != unit
              & e2 = op(e2,e2) )
            | e2 != op(e2,e2) )
          & ( ( e2 != unit
              & e1 = op(e2,e2) )
            | e2 != op(e2,e1) )
          & ( ( e2 != unit
              & e0 = op(e2,e2) )
            | e2 != op(e2,e0) )
          & ( ( e2 != unit
              & e4 = op(e1,e2) )
            | e2 != op(e1,e4) )
          & ( ( e2 != unit
              & e3 = op(e1,e2) )
            | e2 != op(e1,e3) )
          & ( ( e2 != unit
              & e2 = op(e1,e2) )
            | e2 != op(e1,e2) )
          & ( ( e2 != unit
              & e1 = op(e1,e2) )
            | e2 != op(e1,e1) )
          & ( ( e2 != unit
              & e0 = op(e1,e2) )
            | e2 != op(e1,e0) )
          & ( ( e2 != unit
              & e4 = op(e0,e2) )
            | e2 != op(e0,e4) )
          & ( ( e2 != unit
              & e3 = op(e0,e2) )
            | e2 != op(e0,e3) )
          & ( ( e2 != unit
              & e2 = op(e0,e2) )
            | e2 != op(e0,e2) )
          & ( ( e2 != unit
              & e1 = op(e0,e2) )
            | e2 != op(e0,e1) )
          & ( ( e2 != unit
              & e0 = op(e0,e2) )
            | op(e0,e0) != e2 ) )
        | ( ( ( e1 != unit
              & e4 = op(e4,e1) )
            | e1 != op(e4,e4) )
          & ( ( e1 != unit
              & e3 = op(e4,e1) )
            | e1 != op(e4,e3) )
          & ( ( e1 != unit
              & e2 = op(e4,e1) )
            | e1 != op(e4,e2) )
          & ( ( e1 != unit
              & e1 = op(e4,e1) )
            | e1 != op(e4,e1) )
          & ( ( e1 != unit
              & e0 = op(e4,e1) )
            | e1 != op(e4,e0) )
          & ( ( e1 != unit
              & e4 = op(e3,e1) )
            | e1 != op(e3,e4) )
          & ( ( e1 != unit
              & e3 = op(e3,e1) )
            | e1 != op(e3,e3) )
          & ( ( e1 != unit
              & e2 = op(e3,e1) )
            | e1 != op(e3,e2) )
          & ( ( e1 != unit
              & e1 = op(e3,e1) )
            | e1 != op(e3,e1) )
          & ( ( e1 != unit
              & e0 = op(e3,e1) )
            | e1 != op(e3,e0) )
          & ( ( e1 != unit
              & e4 = op(e2,e1) )
            | e1 != op(e2,e4) )
          & ( ( e1 != unit
              & e3 = op(e2,e1) )
            | e1 != op(e2,e3) )
          & ( ( e1 != unit
              & e2 = op(e2,e1) )
            | e1 != op(e2,e2) )
          & ( ( e1 != unit
              & e1 = op(e2,e1) )
            | e1 != op(e2,e1) )
          & ( ( e1 != unit
              & e0 = op(e2,e1) )
            | e1 != op(e2,e0) )
          & ( ( e1 != unit
              & e4 = op(e1,e1) )
            | e1 != op(e1,e4) )
          & ( ( e1 != unit
              & e3 = op(e1,e1) )
            | e1 != op(e1,e3) )
          & ( ( e1 != unit
              & e2 = op(e1,e1) )
            | e1 != op(e1,e2) )
          & ( ( e1 != unit
              & e1 = op(e1,e1) )
            | e1 != op(e1,e1) )
          & ( ( e1 != unit
              & e0 = op(e1,e1) )
            | e1 != op(e1,e0) )
          & ( ( e1 != unit
              & e4 = op(e0,e1) )
            | e1 != op(e0,e4) )
          & ( ( e1 != unit
              & e3 = op(e0,e1) )
            | e1 != op(e0,e3) )
          & ( ( e1 != unit
              & e2 = op(e0,e1) )
            | e1 != op(e0,e2) )
          & ( ( e1 != unit
              & e1 = op(e0,e1) )
            | e1 != op(e0,e1) )
          & ( ( e1 != unit
              & e0 = op(e0,e1) )
            | op(e0,e0) != e1 ) )
        | ( ( ( e0 != unit
              & e4 = op(e4,e0) )
            | e0 != op(e4,e4) )
          & ( ( e0 != unit
              & e3 = op(e4,e0) )
            | e0 != op(e4,e3) )
          & ( ( e0 != unit
              & e2 = op(e4,e0) )
            | e0 != op(e4,e2) )
          & ( ( e0 != unit
              & e1 = op(e4,e0) )
            | e0 != op(e4,e1) )
          & ( ( e0 != unit
              & e0 = op(e4,e0) )
            | e0 != op(e4,e0) )
          & ( ( e0 != unit
              & e4 = op(e3,e0) )
            | e0 != op(e3,e4) )
          & ( ( e0 != unit
              & e3 = op(e3,e0) )
            | e0 != op(e3,e3) )
          & ( ( e0 != unit
              & e2 = op(e3,e0) )
            | e0 != op(e3,e2) )
          & ( ( e0 != unit
              & e1 = op(e3,e0) )
            | e0 != op(e3,e1) )
          & ( ( e0 != unit
              & e0 = op(e3,e0) )
            | e0 != op(e3,e0) )
          & ( ( e0 != unit
              & e4 = op(e2,e0) )
            | e0 != op(e2,e4) )
          & ( ( e0 != unit
              & e3 = op(e2,e0) )
            | e0 != op(e2,e3) )
          & ( ( e0 != unit
              & e2 = op(e2,e0) )
            | e0 != op(e2,e2) )
          & ( ( e0 != unit
              & e1 = op(e2,e0) )
            | e0 != op(e2,e1) )
          & ( ( e0 != unit
              & e0 = op(e2,e0) )
            | e0 != op(e2,e0) )
          & ( ( e0 != unit
              & e4 = op(e1,e0) )
            | e0 != op(e1,e4) )
          & ( ( e0 != unit
              & e3 = op(e1,e0) )
            | e0 != op(e1,e3) )
          & ( ( e0 != unit
              & e2 = op(e1,e0) )
            | e0 != op(e1,e2) )
          & ( ( e0 != unit
              & e1 = op(e1,e0) )
            | e0 != op(e1,e1) )
          & ( ( e0 != unit
              & e0 = op(e1,e0) )
            | e0 != op(e1,e0) )
          & ( ( e0 != unit
              & op(e0,e0) = e4 )
            | e0 != op(e0,e4) )
          & ( ( e0 != unit
              & op(e0,e0) = e3 )
            | e0 != op(e0,e3) )
          & ( ( e0 != unit
              & op(e0,e0) = e2 )
            | e0 != op(e0,e2) )
          & ( ( e0 != unit
              & op(e0,e0) = e1 )
            | e0 != op(e0,e1) )
          & ( ( e0 != unit
              & e0 = op(e0,e0) )
            | e0 != op(e0,e0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1962,plain,
    spl154_154,
    inference(avatar_split_clause,[],[f1102,f1959]) ).

fof(f1957,plain,
    spl154_153,
    inference(avatar_split_clause,[],[f1100,f1954]) ).

fof(f1952,plain,
    spl154_152,
    inference(avatar_split_clause,[],[f893,f1949]) ).

fof(f1947,plain,
    spl154_151,
    inference(avatar_split_clause,[],[f789,f1944]) ).

fof(f789,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1942,plain,
    spl154_150,
    inference(avatar_split_clause,[],[f788,f1939]) ).

fof(f788,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1937,plain,
    spl154_149,
    inference(avatar_split_clause,[],[f787,f1934]) ).

fof(f787,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1932,plain,
    spl154_148,
    inference(avatar_split_clause,[],[f786,f1929]) ).

fof(f786,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1927,plain,
    spl154_147,
    inference(avatar_split_clause,[],[f785,f1924]) ).

fof(f1922,plain,
    spl154_146,
    inference(avatar_split_clause,[],[f784,f1919]) ).

fof(f784,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1917,plain,
    spl154_145,
    inference(avatar_split_clause,[],[f783,f1914]) ).

fof(f783,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1912,plain,
    spl154_144,
    inference(avatar_split_clause,[],[f782,f1909]) ).

fof(f782,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1907,plain,
    spl154_143,
    inference(avatar_split_clause,[],[f781,f1904]) ).

fof(f1902,plain,
    spl154_142,
    inference(avatar_split_clause,[],[f780,f1899]) ).

fof(f1897,plain,
    ( ~ spl154_89
    | ~ spl154_141 ),
    inference(avatar_split_clause,[],[f1638,f1894,f1608]) ).

fof(f1638,plain,
    ( e1 != unit
    | ~ sP42 ),
    inference(duplicate_literal_removal,[],[f1637]) ).

fof(f1637,plain,
    ( e1 != unit
    | e1 != unit
    | ~ sP42 ),
    inference(forward_demodulation,[],[f1057,f1100]) ).

fof(f1057,plain,
    ( e1 != unit
    | op(e3,e2) != unit
    | ~ sP42 ),
    inference(inner_rewriting,[],[f681]) ).

fof(f681,plain,
    ( e1 != unit
    | e1 != op(e3,e2)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f276]) ).

fof(f1892,plain,
    ( ~ spl154_67
    | ~ spl154_140 ),
    inference(avatar_split_clause,[],[f1509,f1889,f1478]) ).

fof(f1509,plain,
    ( e3 != unit
    | ~ sP87 ),
    inference(duplicate_literal_removal,[],[f1508]) ).

fof(f1508,plain,
    ( e3 != unit
    | e3 != unit
    | ~ sP87 ),
    inference(forward_demodulation,[],[f1012,f893]) ).

fof(f1012,plain,
    ( e3 != unit
    | op(e2,e2) != unit
    | ~ sP87 ),
    inference(inner_rewriting,[],[f591]) ).

fof(f591,plain,
    ( e3 != unit
    | e3 != op(e2,e2)
    | ~ sP87 ),
    inference(cnf_transformation,[],[f231]) ).

fof(f1887,plain,
    ( ~ spl154_50
    | ~ spl154_139 ),
    inference(avatar_split_clause,[],[f1413,f1884,f1381]) ).

fof(f1413,plain,
    ( e0 != unit
    | ~ sP6 ),
    inference(duplicate_literal_removal,[],[f1412]) ).

fof(f1412,plain,
    ( e0 != unit
    | e0 != unit
    | ~ sP6 ),
    inference(forward_demodulation,[],[f1093,f1102]) ).

fof(f1093,plain,
    ( e0 != unit
    | op(e1,e1) != unit
    | ~ sP6 ),
    inference(inner_rewriting,[],[f753]) ).

fof(f753,plain,
    ( e0 != unit
    | e0 != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f312]) ).

fof(f1882,plain,
    ~ spl154_138,
    inference(avatar_split_clause,[],[f779,f1879]) ).

fof(f779,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f1877,plain,
    ~ spl154_137,
    inference(avatar_split_clause,[],[f778,f1874]) ).

fof(f778,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1872,plain,
    ~ spl154_136,
    inference(avatar_split_clause,[],[f777,f1869]) ).

fof(f777,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1867,plain,
    ~ spl154_135,
    inference(avatar_split_clause,[],[f776,f1864]) ).

fof(f776,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1862,plain,
    ~ spl154_134,
    inference(avatar_split_clause,[],[f775,f1859]) ).

fof(f775,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1857,plain,
    ~ spl154_133,
    inference(avatar_split_clause,[],[f774,f1854]) ).

fof(f774,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1852,plain,
    ~ spl154_132,
    inference(avatar_split_clause,[],[f773,f1849]) ).

fof(f773,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1847,plain,
    ~ spl154_131,
    inference(avatar_split_clause,[],[f772,f1844]) ).

fof(f772,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1842,plain,
    ~ spl154_130,
    inference(avatar_split_clause,[],[f771,f1839]) ).

fof(f771,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1837,plain,
    ~ spl154_129,
    inference(avatar_split_clause,[],[f770,f1834]) ).

fof(f770,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1832,plain,
    ( ~ spl154_9
    | spl154_128 ),
    inference(avatar_split_clause,[],[f414,f1829,f1158]) ).

fof(f414,plain,
    ( sP123
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1826,plain,
    ( ~ spl154_8
    | spl154_127 ),
    inference(avatar_split_clause,[],[f440,f1823,f1154]) ).

fof(f1154,plain,
    ( spl154_8
  <=> sP128 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_8])]) ).

fof(f440,plain,
    ( sP99
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( ( sP99
      & sP98
      & sP97
      & sP96
      & sP95
      & sP94
      & sP93
      & sP92
      & sP91
      & sP90
      & sP89
      & sP88
      & sP87
      & sP86
      & sP85
      & sP84
      & sP83
      & sP82
      & sP81
      & sP80
      & sP79
      & sP78
      & sP77
      & sP76
      & sP75 )
    | ~ sP128 ),
    inference(nnf_transformation,[],[f138]) ).

fof(f1820,plain,
    ( ~ spl154_7
    | spl154_126 ),
    inference(avatar_split_clause,[],[f463,f1817,f1150]) ).

fof(f1817,plain,
    ( spl154_126
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_126])]) ).

fof(f463,plain,
    ( sP72
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1815,plain,
    ( ~ spl154_5
    | spl154_125 ),
    inference(avatar_split_clause,[],[f512,f1812,f1142]) ).

fof(f512,plain,
    ( sP21
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1809,plain,
    ( ~ spl154_6
    | spl154_124 ),
    inference(avatar_split_clause,[],[f490,f1806,f1146]) ).

fof(f1146,plain,
    ( spl154_6
  <=> sP126 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_6])]) ).

fof(f1806,plain,
    ( spl154_124
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_124])]) ).

fof(f490,plain,
    ( sP49
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ( ( sP49
      & sP48
      & sP47
      & sP46
      & sP45
      & sP44
      & sP43
      & sP42
      & sP41
      & sP40
      & sP39
      & sP38
      & sP37
      & sP36
      & sP35
      & sP34
      & sP33
      & sP32
      & sP31
      & sP30
      & sP29
      & sP28
      & sP27
      & sP26
      & sP25 )
    | ~ sP126 ),
    inference(nnf_transformation,[],[f136]) ).

fof(f1804,plain,
    ( ~ spl154_9
    | spl154_123 ),
    inference(avatar_split_clause,[],[f413,f1801,f1158]) ).

fof(f413,plain,
    ( sP122
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1798,plain,
    ( ~ spl154_8
    | spl154_122 ),
    inference(avatar_split_clause,[],[f439,f1795,f1154]) ).

fof(f1795,plain,
    ( spl154_122
  <=> sP98 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_122])]) ).

fof(f439,plain,
    ( sP98
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1793,plain,
    ( ~ spl154_7
    | spl154_121 ),
    inference(avatar_split_clause,[],[f462,f1790,f1150]) ).

fof(f462,plain,
    ( sP71
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1788,plain,
    ( ~ spl154_5
    | spl154_120 ),
    inference(avatar_split_clause,[],[f511,f1785,f1142]) ).

fof(f1785,plain,
    ( spl154_120
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_120])]) ).

fof(f511,plain,
    ( sP20
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1783,plain,
    ( ~ spl154_6
    | spl154_119 ),
    inference(avatar_split_clause,[],[f489,f1780,f1146]) ).

fof(f489,plain,
    ( sP48
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1778,plain,
    ( ~ spl154_9
    | spl154_118 ),
    inference(avatar_split_clause,[],[f412,f1775,f1158]) ).

fof(f412,plain,
    ( sP121
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1772,plain,
    ( ~ spl154_8
    | spl154_117 ),
    inference(avatar_split_clause,[],[f438,f1769,f1154]) ).

fof(f1769,plain,
    ( spl154_117
  <=> sP97 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_117])]) ).

fof(f438,plain,
    ( sP97
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1767,plain,
    ( ~ spl154_7
    | spl154_116 ),
    inference(avatar_split_clause,[],[f461,f1764,f1150]) ).

fof(f461,plain,
    ( sP70
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1761,plain,
    ( ~ spl154_5
    | spl154_115 ),
    inference(avatar_split_clause,[],[f510,f1758,f1142]) ).

fof(f510,plain,
    ( sP19
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1756,plain,
    ( ~ spl154_6
    | spl154_114 ),
    inference(avatar_split_clause,[],[f488,f1753,f1146]) ).

fof(f1753,plain,
    ( spl154_114
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_114])]) ).

fof(f488,plain,
    ( sP47
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1750,plain,
    ( ~ spl154_9
    | spl154_113 ),
    inference(avatar_split_clause,[],[f411,f1747,f1158]) ).

fof(f411,plain,
    ( sP120
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1744,plain,
    ( ~ spl154_8
    | spl154_112 ),
    inference(avatar_split_clause,[],[f437,f1741,f1154]) ).

fof(f437,plain,
    ( sP96
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1739,plain,
    ( ~ spl154_7
    | spl154_111 ),
    inference(avatar_split_clause,[],[f460,f1736,f1150]) ).

fof(f460,plain,
    ( sP69
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1733,plain,
    ( ~ spl154_5
    | spl154_110 ),
    inference(avatar_split_clause,[],[f509,f1730,f1142]) ).

fof(f1730,plain,
    ( spl154_110
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_110])]) ).

fof(f509,plain,
    ( sP18
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1726,plain,
    ( ~ spl154_6
    | spl154_109 ),
    inference(avatar_split_clause,[],[f487,f1723,f1146]) ).

fof(f1723,plain,
    ( spl154_109
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_109])]) ).

fof(f487,plain,
    ( sP46
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1721,plain,
    ( ~ spl154_9
    | spl154_108 ),
    inference(avatar_split_clause,[],[f410,f1718,f1158]) ).

fof(f1718,plain,
    ( spl154_108
  <=> sP119 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_108])]) ).

fof(f410,plain,
    ( sP119
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1716,plain,
    ( ~ spl154_8
    | spl154_107 ),
    inference(avatar_split_clause,[],[f436,f1713,f1154]) ).

fof(f436,plain,
    ( sP95
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1710,plain,
    ( ~ spl154_7
    | spl154_106 ),
    inference(avatar_split_clause,[],[f459,f1707,f1150]) ).

fof(f1707,plain,
    ( spl154_106
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_106])]) ).

fof(f459,plain,
    ( sP68
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1704,plain,
    ( ~ spl154_5
    | spl154_105 ),
    inference(avatar_split_clause,[],[f508,f1701,f1142]) ).

fof(f1701,plain,
    ( spl154_105
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_105])]) ).

fof(f508,plain,
    ( sP17
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1699,plain,
    ( ~ spl154_6
    | spl154_104 ),
    inference(avatar_split_clause,[],[f486,f1696,f1146]) ).

fof(f486,plain,
    ( sP45
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1694,plain,
    ( ~ spl154_9
    | spl154_103 ),
    inference(avatar_split_clause,[],[f409,f1691,f1158]) ).

fof(f409,plain,
    ( sP118
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1687,plain,
    ( ~ spl154_8
    | spl154_102 ),
    inference(avatar_split_clause,[],[f435,f1684,f1154]) ).

fof(f1684,plain,
    ( spl154_102
  <=> sP94 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_102])]) ).

fof(f435,plain,
    ( sP94
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1682,plain,
    ( ~ spl154_7
    | spl154_101 ),
    inference(avatar_split_clause,[],[f458,f1679,f1150]) ).

fof(f1679,plain,
    ( spl154_101
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_101])]) ).

fof(f458,plain,
    ( sP67
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1677,plain,
    ( ~ spl154_5
    | spl154_100 ),
    inference(avatar_split_clause,[],[f507,f1674,f1142]) ).

fof(f507,plain,
    ( sP16
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1671,plain,
    ( ~ spl154_6
    | spl154_99 ),
    inference(avatar_split_clause,[],[f485,f1668,f1146]) ).

fof(f1668,plain,
    ( spl154_99
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_99])]) ).

fof(f485,plain,
    ( sP44
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1666,plain,
    ( ~ spl154_9
    | spl154_98 ),
    inference(avatar_split_clause,[],[f408,f1663,f1158]) ).

fof(f1663,plain,
    ( spl154_98
  <=> sP117 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_98])]) ).

fof(f408,plain,
    ( sP117
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1661,plain,
    ( ~ spl154_8
    | spl154_97 ),
    inference(avatar_split_clause,[],[f434,f1658,f1154]) ).

fof(f1658,plain,
    ( spl154_97
  <=> sP93 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_97])]) ).

fof(f434,plain,
    ( sP93
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1654,plain,
    ( ~ spl154_7
    | spl154_96 ),
    inference(avatar_split_clause,[],[f457,f1651,f1150]) ).

fof(f1651,plain,
    ( spl154_96
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_96])]) ).

fof(f457,plain,
    ( sP66
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1648,plain,
    ( ~ spl154_5
    | spl154_95 ),
    inference(avatar_split_clause,[],[f506,f1645,f1142]) ).

fof(f1645,plain,
    ( spl154_95
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_95])]) ).

fof(f506,plain,
    ( sP15
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1643,plain,
    ( ~ spl154_6
    | spl154_94 ),
    inference(avatar_split_clause,[],[f484,f1640,f1146]) ).

fof(f1640,plain,
    ( spl154_94
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_94])]) ).

fof(f484,plain,
    ( sP43
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1634,plain,
    ( ~ spl154_9
    | spl154_93 ),
    inference(avatar_split_clause,[],[f407,f1631,f1158]) ).

fof(f1631,plain,
    ( spl154_93
  <=> sP116 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_93])]) ).

fof(f407,plain,
    ( sP116
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1629,plain,
    ( ~ spl154_8
    | spl154_92 ),
    inference(avatar_split_clause,[],[f433,f1626,f1154]) ).

fof(f1626,plain,
    ( spl154_92
  <=> sP92 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_92])]) ).

fof(f433,plain,
    ( sP92
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1623,plain,
    ( ~ spl154_7
    | spl154_91 ),
    inference(avatar_split_clause,[],[f456,f1620,f1150]) ).

fof(f456,plain,
    ( sP65
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1616,plain,
    ( ~ spl154_5
    | spl154_90 ),
    inference(avatar_split_clause,[],[f505,f1613,f1142]) ).

fof(f505,plain,
    ( sP14
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1611,plain,
    ( ~ spl154_6
    | spl154_89 ),
    inference(avatar_split_clause,[],[f483,f1608,f1146]) ).

fof(f483,plain,
    ( sP42
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1605,plain,
    ( ~ spl154_9
    | spl154_88 ),
    inference(avatar_split_clause,[],[f406,f1602,f1158]) ).

fof(f1602,plain,
    ( spl154_88
  <=> sP115 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_88])]) ).

fof(f406,plain,
    ( sP115
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1599,plain,
    ( ~ spl154_8
    | spl154_87 ),
    inference(avatar_split_clause,[],[f432,f1596,f1154]) ).

fof(f432,plain,
    ( sP91
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1593,plain,
    ( ~ spl154_7
    | spl154_86 ),
    inference(avatar_split_clause,[],[f455,f1590,f1150]) ).

fof(f455,plain,
    ( sP64
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1587,plain,
    ( ~ spl154_5
    | spl154_85 ),
    inference(avatar_split_clause,[],[f504,f1584,f1142]) ).

fof(f504,plain,
    ( sP13
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1580,plain,
    ( ~ spl154_6
    | spl154_84 ),
    inference(avatar_split_clause,[],[f482,f1577,f1146]) ).

fof(f1577,plain,
    ( spl154_84
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_84])]) ).

fof(f482,plain,
    ( sP41
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1575,plain,
    ( ~ spl154_9
    | spl154_83 ),
    inference(avatar_split_clause,[],[f405,f1572,f1158]) ).

fof(f405,plain,
    ( sP114
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1570,plain,
    ( ~ spl154_8
    | spl154_82 ),
    inference(avatar_split_clause,[],[f431,f1567,f1154]) ).

fof(f431,plain,
    ( sP90
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1565,plain,
    ( ~ spl154_7
    | spl154_81 ),
    inference(avatar_split_clause,[],[f454,f1562,f1150]) ).

fof(f1562,plain,
    ( spl154_81
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_81])]) ).

fof(f454,plain,
    ( sP63
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1560,plain,
    ( ~ spl154_5
    | spl154_80 ),
    inference(avatar_split_clause,[],[f503,f1557,f1142]) ).

fof(f1557,plain,
    ( spl154_80
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_80])]) ).

fof(f503,plain,
    ( sP12
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1555,plain,
    ( ~ spl154_6
    | spl154_79 ),
    inference(avatar_split_clause,[],[f481,f1552,f1146]) ).

fof(f481,plain,
    ( sP40
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1550,plain,
    ( ~ spl154_9
    | spl154_78 ),
    inference(avatar_split_clause,[],[f404,f1547,f1158]) ).

fof(f404,plain,
    ( sP113
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1543,plain,
    ( ~ spl154_8
    | spl154_77 ),
    inference(avatar_split_clause,[],[f430,f1540,f1154]) ).

fof(f1540,plain,
    ( spl154_77
  <=> sP89 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_77])]) ).

fof(f430,plain,
    ( sP89
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1537,plain,
    ( ~ spl154_7
    | spl154_76 ),
    inference(avatar_split_clause,[],[f453,f1534,f1150]) ).

fof(f1534,plain,
    ( spl154_76
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_76])]) ).

fof(f453,plain,
    ( sP62
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1530,plain,
    ( ~ spl154_5
    | spl154_75 ),
    inference(avatar_split_clause,[],[f502,f1527,f1142]) ).

fof(f502,plain,
    ( sP11
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1524,plain,
    ( ~ spl154_6
    | spl154_74 ),
    inference(avatar_split_clause,[],[f480,f1521,f1146]) ).

fof(f1521,plain,
    ( spl154_74
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_74])]) ).

fof(f480,plain,
    ( sP39
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1519,plain,
    ( ~ spl154_9
    | spl154_73 ),
    inference(avatar_split_clause,[],[f403,f1516,f1158]) ).

fof(f1516,plain,
    ( spl154_73
  <=> sP112 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_73])]) ).

fof(f403,plain,
    ( sP112
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1514,plain,
    ( ~ spl154_8
    | spl154_72 ),
    inference(avatar_split_clause,[],[f429,f1511,f1154]) ).

fof(f1511,plain,
    ( spl154_72
  <=> sP88 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_72])]) ).

fof(f429,plain,
    ( sP88
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1505,plain,
    ( ~ spl154_7
    | spl154_71 ),
    inference(avatar_split_clause,[],[f452,f1502,f1150]) ).

fof(f452,plain,
    ( sP61
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1498,plain,
    ( ~ spl154_5
    | spl154_70 ),
    inference(avatar_split_clause,[],[f501,f1495,f1142]) ).

fof(f1495,plain,
    ( spl154_70
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_70])]) ).

fof(f501,plain,
    ( sP10
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1493,plain,
    ( ~ spl154_6
    | spl154_69 ),
    inference(avatar_split_clause,[],[f479,f1490,f1146]) ).

fof(f1490,plain,
    ( spl154_69
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_69])]) ).

fof(f479,plain,
    ( sP38
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1486,plain,
    ( ~ spl154_9
    | spl154_68 ),
    inference(avatar_split_clause,[],[f402,f1483,f1158]) ).

fof(f402,plain,
    ( sP111
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1481,plain,
    ( ~ spl154_8
    | spl154_67 ),
    inference(avatar_split_clause,[],[f428,f1478,f1154]) ).

fof(f428,plain,
    ( sP87
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1476,plain,
    ( ~ spl154_7
    | spl154_66 ),
    inference(avatar_split_clause,[],[f451,f1473,f1150]) ).

fof(f451,plain,
    ( sP60
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1471,plain,
    ( ~ spl154_5
    | spl154_65 ),
    inference(avatar_split_clause,[],[f500,f1468,f1142]) ).

fof(f500,plain,
    ( sP9
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1466,plain,
    ( ~ spl154_6
    | spl154_64 ),
    inference(avatar_split_clause,[],[f478,f1463,f1146]) ).

fof(f1463,plain,
    ( spl154_64
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_64])]) ).

fof(f478,plain,
    ( sP37
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1460,plain,
    ( ~ spl154_9
    | spl154_63 ),
    inference(avatar_split_clause,[],[f401,f1457,f1158]) ).

fof(f401,plain,
    ( sP110
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1454,plain,
    ( ~ spl154_8
    | spl154_62 ),
    inference(avatar_split_clause,[],[f427,f1451,f1154]) ).

fof(f1451,plain,
    ( spl154_62
  <=> sP86 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_62])]) ).

fof(f427,plain,
    ( sP86
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1449,plain,
    ( ~ spl154_7
    | spl154_61 ),
    inference(avatar_split_clause,[],[f450,f1446,f1150]) ).

fof(f450,plain,
    ( sP59
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1444,plain,
    ( ~ spl154_5
    | spl154_60 ),
    inference(avatar_split_clause,[],[f499,f1441,f1142]) ).

fof(f499,plain,
    ( sP8
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1439,plain,
    ( ~ spl154_6
    | spl154_59 ),
    inference(avatar_split_clause,[],[f477,f1436,f1146]) ).

fof(f1436,plain,
    ( spl154_59
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_59])]) ).

fof(f477,plain,
    ( sP36
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1434,plain,
    ( ~ spl154_9
    | spl154_58 ),
    inference(avatar_split_clause,[],[f400,f1431,f1158]) ).

fof(f1431,plain,
    ( spl154_58
  <=> sP109 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_58])]) ).

fof(f400,plain,
    ( sP109
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1429,plain,
    ( ~ spl154_8
    | spl154_57 ),
    inference(avatar_split_clause,[],[f426,f1426,f1154]) ).

fof(f1426,plain,
    ( spl154_57
  <=> sP85 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_57])]) ).

fof(f426,plain,
    ( sP85
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1424,plain,
    ( ~ spl154_7
    | spl154_56 ),
    inference(avatar_split_clause,[],[f449,f1421,f1150]) ).

fof(f449,plain,
    ( sP58
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1418,plain,
    ( ~ spl154_5
    | spl154_55 ),
    inference(avatar_split_clause,[],[f498,f1415,f1142]) ).

fof(f498,plain,
    ( sP7
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1409,plain,
    ( ~ spl154_6
    | spl154_54 ),
    inference(avatar_split_clause,[],[f476,f1406,f1146]) ).

fof(f1406,plain,
    ( spl154_54
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_54])]) ).

fof(f476,plain,
    ( sP35
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1402,plain,
    ( ~ spl154_9
    | spl154_53 ),
    inference(avatar_split_clause,[],[f399,f1399,f1158]) ).

fof(f1399,plain,
    ( spl154_53
  <=> sP108 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_53])]) ).

fof(f399,plain,
    ( sP108
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1397,plain,
    ( ~ spl154_8
    | spl154_52 ),
    inference(avatar_split_clause,[],[f425,f1394,f1154]) ).

fof(f425,plain,
    ( sP84
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1391,plain,
    ( ~ spl154_7
    | spl154_51 ),
    inference(avatar_split_clause,[],[f448,f1388,f1150]) ).

fof(f1388,plain,
    ( spl154_51
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_51])]) ).

fof(f448,plain,
    ( sP57
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1384,plain,
    ( ~ spl154_5
    | spl154_50 ),
    inference(avatar_split_clause,[],[f497,f1381,f1142]) ).

fof(f497,plain,
    ( sP6
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1378,plain,
    ( ~ spl154_6
    | spl154_49 ),
    inference(avatar_split_clause,[],[f475,f1375,f1146]) ).

fof(f475,plain,
    ( sP34
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1371,plain,
    ( ~ spl154_9
    | spl154_48 ),
    inference(avatar_split_clause,[],[f398,f1368,f1158]) ).

fof(f398,plain,
    ( sP107
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1364,plain,
    ( ~ spl154_8
    | spl154_47 ),
    inference(avatar_split_clause,[],[f424,f1361,f1154]) ).

fof(f1361,plain,
    ( spl154_47
  <=> sP83 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_47])]) ).

fof(f424,plain,
    ( sP83
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1359,plain,
    ( ~ spl154_7
    | spl154_46 ),
    inference(avatar_split_clause,[],[f447,f1356,f1150]) ).

fof(f1356,plain,
    ( spl154_46
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_46])]) ).

fof(f447,plain,
    ( sP56
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1354,plain,
    ( ~ spl154_5
    | spl154_45 ),
    inference(avatar_split_clause,[],[f496,f1351,f1142]) ).

fof(f1351,plain,
    ( spl154_45
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_45])]) ).

fof(f496,plain,
    ( sP5
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1348,plain,
    ( ~ spl154_6
    | spl154_44 ),
    inference(avatar_split_clause,[],[f474,f1345,f1146]) ).

fof(f1345,plain,
    ( spl154_44
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_44])]) ).

fof(f474,plain,
    ( sP33
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1341,plain,
    ( ~ spl154_9
    | spl154_43 ),
    inference(avatar_split_clause,[],[f397,f1338,f1158]) ).

fof(f397,plain,
    ( sP106
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1336,plain,
    ( ~ spl154_8
    | spl154_42 ),
    inference(avatar_split_clause,[],[f423,f1333,f1154]) ).

fof(f1333,plain,
    ( spl154_42
  <=> sP82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_42])]) ).

fof(f423,plain,
    ( sP82
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1329,plain,
    ( ~ spl154_7
    | spl154_41 ),
    inference(avatar_split_clause,[],[f446,f1326,f1150]) ).

fof(f446,plain,
    ( sP55
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1324,plain,
    ( ~ spl154_5
    | spl154_40 ),
    inference(avatar_split_clause,[],[f495,f1321,f1142]) ).

fof(f495,plain,
    ( sP4
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1318,plain,
    ( ~ spl154_6
    | spl154_39 ),
    inference(avatar_split_clause,[],[f473,f1315,f1146]) ).

fof(f1315,plain,
    ( spl154_39
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_39])]) ).

fof(f473,plain,
    ( sP32
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1313,plain,
    ( ~ spl154_9
    | spl154_38 ),
    inference(avatar_split_clause,[],[f396,f1310,f1158]) ).

fof(f396,plain,
    ( sP105
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1307,plain,
    ( ~ spl154_8
    | spl154_37 ),
    inference(avatar_split_clause,[],[f422,f1304,f1154]) ).

fof(f1304,plain,
    ( spl154_37
  <=> sP81 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_37])]) ).

fof(f422,plain,
    ( sP81
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1302,plain,
    ( ~ spl154_7
    | spl154_36 ),
    inference(avatar_split_clause,[],[f445,f1299,f1150]) ).

fof(f1299,plain,
    ( spl154_36
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_36])]) ).

fof(f445,plain,
    ( sP54
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1297,plain,
    ( ~ spl154_5
    | spl154_35 ),
    inference(avatar_split_clause,[],[f494,f1294,f1142]) ).

fof(f494,plain,
    ( sP3
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1291,plain,
    ( ~ spl154_6
    | spl154_34 ),
    inference(avatar_split_clause,[],[f472,f1288,f1146]) ).

fof(f1288,plain,
    ( spl154_34
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_34])]) ).

fof(f472,plain,
    ( sP31
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1285,plain,
    ( ~ spl154_9
    | spl154_33 ),
    inference(avatar_split_clause,[],[f395,f1282,f1158]) ).

fof(f395,plain,
    ( sP104
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1280,plain,
    ( ~ spl154_8
    | spl154_32 ),
    inference(avatar_split_clause,[],[f421,f1277,f1154]) ).

fof(f421,plain,
    ( sP80
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1275,plain,
    ( ~ spl154_7
    | spl154_31 ),
    inference(avatar_split_clause,[],[f444,f1272,f1150]) ).

fof(f1272,plain,
    ( spl154_31
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_31])]) ).

fof(f444,plain,
    ( sP53
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1269,plain,
    ( ~ spl154_5
    | spl154_30 ),
    inference(avatar_split_clause,[],[f493,f1266,f1142]) ).

fof(f1266,plain,
    ( spl154_30
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_30])]) ).

fof(f493,plain,
    ( sP2
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1263,plain,
    ( ~ spl154_6
    | spl154_29 ),
    inference(avatar_split_clause,[],[f471,f1260,f1146]) ).

fof(f1260,plain,
    ( spl154_29
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_29])]) ).

fof(f471,plain,
    ( sP30
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1258,plain,
    ( ~ spl154_9
    | spl154_28 ),
    inference(avatar_split_clause,[],[f394,f1255,f1158]) ).

fof(f394,plain,
    ( sP103
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1253,plain,
    ( ~ spl154_8
    | spl154_27 ),
    inference(avatar_split_clause,[],[f420,f1250,f1154]) ).

fof(f420,plain,
    ( sP79
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1247,plain,
    ( ~ spl154_7
    | spl154_26 ),
    inference(avatar_split_clause,[],[f443,f1244,f1150]) ).

fof(f1244,plain,
    ( spl154_26
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_26])]) ).

fof(f443,plain,
    ( sP52
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1242,plain,
    ( ~ spl154_5
    | spl154_25 ),
    inference(avatar_split_clause,[],[f492,f1239,f1142]) ).

fof(f1239,plain,
    ( spl154_25
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_25])]) ).

fof(f492,plain,
    ( sP1
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1237,plain,
    ( ~ spl154_6
    | spl154_24 ),
    inference(avatar_split_clause,[],[f470,f1234,f1146]) ).

fof(f470,plain,
    ( sP29
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1232,plain,
    ( ~ spl154_9
    | spl154_23 ),
    inference(avatar_split_clause,[],[f393,f1229,f1158]) ).

fof(f393,plain,
    ( sP102
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1227,plain,
    ( ~ spl154_8
    | spl154_22 ),
    inference(avatar_split_clause,[],[f419,f1224,f1154]) ).

fof(f1224,plain,
    ( spl154_22
  <=> sP78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_22])]) ).

fof(f419,plain,
    ( sP78
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1222,plain,
    ( ~ spl154_7
    | spl154_21 ),
    inference(avatar_split_clause,[],[f442,f1219,f1150]) ).

fof(f1219,plain,
    ( spl154_21
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_21])]) ).

fof(f442,plain,
    ( sP51
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1217,plain,
    ( ~ spl154_6
    | spl154_20 ),
    inference(avatar_split_clause,[],[f469,f1214,f1146]) ).

fof(f469,plain,
    ( sP28
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1212,plain,
    ( ~ spl154_9
    | spl154_19 ),
    inference(avatar_split_clause,[],[f392,f1209,f1158]) ).

fof(f392,plain,
    ( sP101
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1207,plain,
    ( ~ spl154_9
    | spl154_18 ),
    inference(avatar_split_clause,[],[f391,f1204,f1158]) ).

fof(f391,plain,
    ( sP100
    | ~ sP129 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f1202,plain,
    ( ~ spl154_8
    | spl154_17 ),
    inference(avatar_split_clause,[],[f418,f1199,f1154]) ).

fof(f1199,plain,
    ( spl154_17
  <=> sP77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_17])]) ).

fof(f418,plain,
    ( sP77
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1197,plain,
    ( ~ spl154_7
    | spl154_16 ),
    inference(avatar_split_clause,[],[f441,f1194,f1150]) ).

fof(f441,plain,
    ( sP50
    | ~ sP127 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f1192,plain,
    ( ~ spl154_6
    | spl154_15 ),
    inference(avatar_split_clause,[],[f468,f1189,f1146]) ).

fof(f1189,plain,
    ( spl154_15
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_15])]) ).

fof(f468,plain,
    ( sP27
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1186,plain,
    ( ~ spl154_5
    | spl154_14 ),
    inference(avatar_split_clause,[],[f491,f1183,f1142]) ).

fof(f491,plain,
    ( sP0
    | ~ sP125 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f1181,plain,
    ( ~ spl154_8
    | spl154_13 ),
    inference(avatar_split_clause,[],[f417,f1178,f1154]) ).

fof(f417,plain,
    ( sP76
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1176,plain,
    ( ~ spl154_8
    | spl154_12 ),
    inference(avatar_split_clause,[],[f416,f1173,f1154]) ).

fof(f416,plain,
    ( sP75
    | ~ sP128 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1171,plain,
    ( ~ spl154_6
    | spl154_11 ),
    inference(avatar_split_clause,[],[f467,f1168,f1146]) ).

fof(f1168,plain,
    ( spl154_11
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl154_11])]) ).

fof(f467,plain,
    ( sP26
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1166,plain,
    ( ~ spl154_6
    | spl154_10 ),
    inference(avatar_split_clause,[],[f466,f1163,f1146]) ).

fof(f466,plain,
    ( sP25
    | ~ sP126 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1161,plain,
    ( spl154_5
    | spl154_6
    | spl154_7
    | spl154_8
    | spl154_9 ),
    inference(avatar_split_clause,[],[f766,f1158,f1154,f1150,f1146,f1142]) ).

fof(f766,plain,
    ( sP129
    | sP128
    | sP127
    | sP126
    | sP125 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f1140,plain,
    ~ spl154_4,
    inference(avatar_split_clause,[],[f974,f1137]) ).

fof(f974,plain,
    ~ sP148,
    inference(trivial_inequality_removal,[],[f334]) ).

fof(f334,plain,
    ( op(e3,e3) != op(e3,e3)
    | ~ sP148 ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( ( e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3)
      & op(e3,e3) != op(e3,e3) )
    | ~ sP148 ),
    inference(nnf_transformation,[],[f158]) ).

fof(f1135,plain,
    ~ spl154_3,
    inference(avatar_split_clause,[],[f973,f1132]) ).

fof(f973,plain,
    ~ sP142,
    inference(trivial_inequality_removal,[],[f352]) ).

fof(f352,plain,
    ( op(e2,e2) != op(e2,e2)
    | ~ sP142 ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ( ( e2 != op(op(e2,e2),e2)
      & e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2) )
    | ~ sP142 ),
    inference(nnf_transformation,[],[f152]) ).

fof(f1130,plain,
    ~ spl154_2,
    inference(avatar_split_clause,[],[f972,f1127]) ).

fof(f972,plain,
    ~ sP136,
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( op(e1,e1) != op(e1,e1)
    | ~ sP136 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( ( e1 != op(op(e1,e1),e1)
      & e1 = op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP136 ),
    inference(nnf_transformation,[],[f146]) ).

fof(f1125,plain,
    ~ spl154_1,
    inference(avatar_split_clause,[],[f971,f1122]) ).

fof(f971,plain,
    ~ sP130,
    inference(trivial_inequality_removal,[],[f388]) ).

fof(f388,plain,
    ( op(e0,e0) != op(e0,e0)
    | ~ sP130 ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP130 ),
    inference(nnf_transformation,[],[f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ALG059+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:55:22 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (32351)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (32354)WARNING: value z3 for option sas not known
% 0.14/0.40  % (32354)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40  % (32357)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40  % (32355)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40  % (32359)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40  % (32353)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (32358)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40  % (32352)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.44  Detected minimum model sizes of [5]
% 0.20/0.44  Detected maximum model sizes of [max]
% 0.20/0.44  TRYING [5]
% 0.20/0.48  TRYING [6]
% 0.20/0.53  TRYING [7]
% 1.52/0.60  TRYING [8]
% 1.94/0.69  TRYING [9]
% 2.83/0.81  TRYING [10]
% 3.65/0.90  % (32357)First to succeed.
% 3.95/0.94  % (32357)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32351"
% 4.06/0.94  % (32357)Refutation found. Thanks to Tanya!
% 4.06/0.94  % SZS status Theorem for theBenchmark
% 4.06/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 4.06/0.97  % (32357)------------------------------
% 4.06/0.97  % (32357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.06/0.97  % (32357)Termination reason: Refutation
% 4.06/0.97  
% 4.06/0.97  % (32357)Memory used [KB]: 6461
% 4.06/0.97  % (32357)Time elapsed: 0.545 s
% 4.06/0.97  % (32357)Instructions burned: 1223 (million)
% 4.06/0.97  % (32351)Success in time 0.599 s
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