%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG131+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:42:58 EDT 2022

% Result   : Unsatisfiable 2.83s 0.85s
% Output   : Refutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  158
% Syntax   : Number of formulae    : 1601 (  55 unt;   0 def)
%            Number of atoms       : 4775 (1735 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 6009 (2835   ~;2675   |; 381   &)
%                                         ( 118 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  135 ( 133 usr; 134 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5134,plain,
    $false,
    inference(avatar_sat_refutation,[],[f319,f328,f337,f354,f385,f394,f403,f408,f413,f450,f467,f468,f469,f470,f488,f493,f494,f511,f516,f525,f530,f535,f540,f545,f554,f556,f557,f558,f559,f564,f566,f567,f576,f585,f594,f595,f604,f611,f617,f618,f632,f642,f647,f656,f661,f662,f667,f672,f673,f674,f683,f689,f691,f692,f693,f694,f699,f700,f713,f718,f728,f729,f738,f739,f740,f741,f742,f743,f748,f749,f754,f755,f756,f773,f778,f783,f784,f785,f790,f791,f796,f797,f798,f807,f808,f813,f814,f815,f816,f817,f822,f823,f825,f826,f827,f828,f829,f834,f835,f841,f842,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f875,f876,f877,f882,f887,f888,f889,f906,f907,f908,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f953,f954,f955,f956,f957,f958,f965,f966,f968,f982,f983,f989,f990,f991,f992,f1000,f1003,f1021,f1022,f1037,f1048,f1062,f1066,f1072,f1075,f1077,f1086,f1090,f1098,f1100,f1103,f1113,f1119,f1130,f1133,f1141,f1161,f1170,f1190,f1207,f1217,f1224,f1242,f1249,f1253,f1272,f1277,f1298,f1308,f1312,f1322,f1326,f1334,f1337,f1350,f1371,f1376,f1387,f1428,f1446,f1460,f1475,f1492,f1499,f1507,f1538,f1555,f1581,f1587,f1597,f1602,f1607,f1613,f1678,f1696,f1701,f1717,f1752,f1755,f1760,f1762,f1802,f1821,f1836,f1838,f1841,f1866,f1917,f1923,f1941,f1968,f1972,f1977,f1982,f1985,f1988,f1991,f1997,f2007,f2011,f2014,f2019,f2023,f2035,f2046,f2049,f2068,f2074,f2079,f2082,f2101,f2110,f2116,f2122,f2134,f2142,f2145,f2149,f2154,f2159,f2175,f2180,f2196,f2200,f2230,f2255,f2257,f2260,f2262,f2282,f2288,f2330,f2335,f2339,f2343,f2345,f2350,f2383,f2405,f2418,f2423,f2435,f2494,f2515,f2520,f2522,f2526,f2540,f2550,f2555,f2565,f2577,f2582,f2585,f2606,f2623,f2648,f2663,f2675,f2679,f2687,f2697,f2711,f2738,f2742,f2756,f2757,f2780,f2784,f2789,f2806,f2822,f2825,f2826,f2841,f2886,f2892,f2894,f2897,f2898,f2901,f2913,f2927,f2974,f2984,f2995,f3017,f3025,f3064,f3065,f3076,f3079,f3081,f3108,f3153,f3159,f3175,f3181,f3204,f3206,f3208,f3232,f3238,f3242,f3300,f3312,f3411,f3419,f3421,f3432,f3439,f3445,f3458,f3505,f3521,f3549,f3557,f3570,f3578,f3584,f3608,f3612,f3616,f3635,f3674,f3684,f3697,f3700,f3707,f3711,f3728,f3732,f3739,f3742,f3767,f3782,f3787,f3794,f3796,f3797,f3803,f3823,f3826,f3831,f3838,f3868,f3879,f3886,f3902,f3923,f3925,f3931,f3936,f3947,f3951,f3953,f3962,f3975,f3983,f4011,f4020,f4021,f4023,f4026,f4037,f4095,f4112,f4115,f4119,f4120,f4134,f4142,f4153,f4163,f4178,f4193,f4221,f4227,f4235,f4253,f4265,f4288,f4295,f4297,f4309,f4326,f4329,f4331,f4355,f4364,f4370,f4415,f4423,f4431,f4441,f4442,f4444,f4452,f4458,f4490,f4495,f4516,f4547,f4554,f4587,f4589,f4597,f4599,f4607,f4616,f4621,f4623,f4634,f4647,f4653,f4659,f4662,f4667,f4679,f4689,f4696,f4698,f4720,f4731,f4751,f4753,f4755,f4763,f4773,f4777,f4780,f4783,f4790,f4801,f4823,f4836,f4839,f4841,f4862,f4863,f4864,f4897,f4903,f4910,f4912,f4926,f4927,f4931,f4942,f4950,f4960,f4963,f5014,f5017,f5026,f5029,f5030,f5042,f5057,f5063,f5072,f5079,f5083,f5085,f5105,f5133]) ).

fof(f5133,plain,
    ( ~ spl15_34
    | spl15_38
    | ~ spl15_63
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f5132]) ).

fof(f5132,plain,
    ( $false
    | ~ spl15_34
    | spl15_38
    | ~ spl15_63
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f5131,f458]) ).

fof(f458,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl15_34
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f5131,plain,
    ( e0 != op(e3,e1)
    | spl15_38
    | ~ spl15_63
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f5130,f795]) ).

fof(f795,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl15_98
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).

fof(f5130,plain,
    ( e0 != op(op(e1,e2),e1)
    | spl15_38
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f479,f603]) ).

fof(f603,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_63 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl15_63
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).

fof(f479,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | spl15_38 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl15_38
  <=> e0 = op(op(e1,op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f5105,plain,
    ( ~ spl15_25
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f5102,f635,f419]) ).

fof(f419,plain,
    ( spl15_25
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f635,plain,
    ( spl15_69
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).

fof(f5102,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f236,f637]) ).

fof(f637,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f236,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f5085,plain,
    ( ~ spl15_97
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f5084,f735,f787]) ).

fof(f787,plain,
    ( spl15_97
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).

fof(f735,plain,
    ( spl15_88
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).

fof(f5084,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f246,f737]) ).

fof(f737,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f246,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5083,plain,
    ( ~ spl15_7
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f5082,f614,f339]) ).

fof(f339,plain,
    ( spl15_7
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f614,plain,
    ( spl15_65
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).

fof(f5082,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f247,f616]) ).

fof(f616,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f247,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5079,plain,
    ( ~ spl15_7
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f5078,f735,f339]) ).

fof(f5078,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f262,f737]) ).

fof(f262,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5072,plain,
    ( ~ spl15_65
    | ~ spl15_103
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f5071]) ).

fof(f5071,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_103
    | ~ spl15_115 ),
    inference(subsumption_resolution,[],[f5070,f309]) ).

fof(f309,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e0 != e3
    & e1 != e2
    & e2 != e3
    & e1 != e3
    & e0 != e1
    & e0 != e2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5070,plain,
    ( e1 = e2
    | ~ spl15_65
    | ~ spl15_103
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f5069,f833]) ).

fof(f833,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_103 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f831,plain,
    ( spl15_103
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).

fof(f5069,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_65
    | ~ spl15_115 ),
    inference(backward_demodulation,[],[f905,f616]) ).

fof(f905,plain,
    ( e2 = op(e2,op(e2,e1))
    | ~ spl15_115 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl15_115
  <=> e2 = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).

fof(f5063,plain,
    ( ~ spl15_97
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f5062,f793,f787]) ).

fof(f5062,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f232,f795]) ).

fof(f232,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5057,plain,
    ( ~ spl15_81
    | ~ spl15_100
    | spl15_110 ),
    inference(avatar_contradiction_clause,[],[f5056]) ).

fof(f5056,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_100
    | spl15_110 ),
    inference(subsumption_resolution,[],[f5051,f704]) ).

fof(f704,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_81 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl15_81
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).

fof(f5051,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_100
    | spl15_110 ),
    inference(backward_demodulation,[],[f881,f805]) ).

fof(f805,plain,
    ( e1 = op(e3,op(e3,e3))
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl15_100
  <=> e1 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).

fof(f881,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | spl15_110 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl15_110
  <=> e0 = op(op(e3,op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).

fof(f5042,plain,
    ( ~ spl15_62
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f5041,f490,f597]) ).

fof(f597,plain,
    ( spl15_62
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).

fof(f490,plain,
    ( spl15_41
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

fof(f5041,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f248,f492]) ).

fof(f492,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_41 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f248,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5030,plain,
    ( ~ spl15_25
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f5028,f831,f419]) ).

fof(f5028,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_103 ),
    inference(backward_demodulation,[],[f261,f833]) ).

fof(f261,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5029,plain,
    ( ~ spl15_18
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f5027,f831,f387]) ).

fof(f387,plain,
    ( spl15_18
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f5027,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_103 ),
    inference(backward_demodulation,[],[f272,f833]) ).

fof(f272,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5026,plain,
    ( ~ spl15_102
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f5025,f629,f819]) ).

fof(f819,plain,
    ( spl15_102
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).

fof(f629,plain,
    ( spl15_68
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).

fof(f5025,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f267,f631]) ).

fof(f631,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f267,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5017,plain,
    ( ~ spl15_62
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f5015,f601,f597]) ).

fof(f5015,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_63 ),
    inference(backward_demodulation,[],[f237,f603]) ).

fof(f237,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5014,plain,
    ( ~ spl15_25
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f5013]) ).

fof(f5013,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(subsumption_resolution,[],[f5012,f307]) ).

fof(f307,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f5012,plain,
    ( e1 = e3
    | ~ spl15_25
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f5011,f420]) ).

fof(f420,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f5011,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f937,f789]) ).

fof(f789,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f937,plain,
    ( e3 = op(e3,op(e3,e2))
    | ~ spl15_119 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl15_119
  <=> e3 = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).

fof(f4963,plain,
    ( ~ spl15_46
    | spl15_92
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f4962,f810,f762,f513]) ).

fof(f513,plain,
    ( spl15_46
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

fof(f762,plain,
    ( spl15_92
  <=> e0 = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).

fof(f810,plain,
    ( spl15_101
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).

fof(f4962,plain,
    ( e0 != op(e0,e3)
    | spl15_92
    | ~ spl15_101 ),
    inference(backward_demodulation,[],[f763,f812]) ).

fof(f812,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f763,plain,
    ( e0 != op(e0,op(e0,e3))
    | spl15_92 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f4960,plain,
    ( ~ spl15_46
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f4956,f321,f513]) ).

fof(f321,plain,
    ( spl15_3
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f4956,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_3 ),
    inference(backward_demodulation,[],[f251,f323]) ).

fof(f323,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f251,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4950,plain,
    ( ~ spl15_66
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f4946,f629,f621]) ).

fof(f621,plain,
    ( spl15_66
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).

fof(f4946,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_68 ),
    inference(backward_demodulation,[],[f242,f631]) ).

fof(f242,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4942,plain,
    ( ~ spl15_90
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f4941,f702,f751]) ).

fof(f751,plain,
    ( spl15_90
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).

fof(f4941,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f250,f704]) ).

fof(f250,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4931,plain,
    ( ~ spl15_46
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f4930,f702,f513]) ).

fof(f4930,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f239,f704]) ).

fof(f239,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4927,plain,
    ( spl15_3
    | ~ spl15_17
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f4925,f860,f382,f321]) ).

fof(f382,plain,
    ( spl15_17
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f860,plain,
    ( spl15_106
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).

fof(f4925,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_17
    | ~ spl15_106 ),
    inference(backward_demodulation,[],[f862,f383]) ).

fof(f383,plain,
    ( op(e0,e0) = e2
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f862,plain,
    ( e0 = op(e0,op(e0,e0))
    | ~ spl15_106 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f4926,plain,
    ( ~ spl15_50
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4924,f382,f532]) ).

fof(f532,plain,
    ( spl15_50
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).

fof(f4924,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_17 ),
    inference(backward_demodulation,[],[f268,f383]) ).

fof(f268,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4912,plain,
    ( ~ spl15_41
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4786,f644,f490]) ).

fof(f644,plain,
    ( spl15_71
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).

fof(f4786,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f272,f646]) ).

fof(f646,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f4910,plain,
    ( ~ spl15_76
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f4909,f485,f669]) ).

fof(f669,plain,
    ( spl15_76
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).

fof(f485,plain,
    ( spl15_40
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f4909,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f263,f486]) ).

fof(f486,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f263,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4903,plain,
    ( ~ spl15_13
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f4902]) ).

fof(f4902,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_17 ),
    inference(subsumption_resolution,[],[f4901,f309]) ).

fof(f4901,plain,
    ( e1 = e2
    | ~ spl15_13
    | ~ spl15_17 ),
    inference(backward_demodulation,[],[f383,f366]) ).

fof(f366,plain,
    ( op(e0,e0) = e1
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl15_13
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f4897,plain,
    ( ~ spl15_13
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f4896,f625,f365]) ).

fof(f625,plain,
    ( spl15_67
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).

fof(f4896,plain,
    ( op(e0,e0) != e1
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f268,f627]) ).

fof(f627,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_67 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f4864,plain,
    ( ~ spl15_45
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f4858,f496,f508]) ).

fof(f508,plain,
    ( spl15_45
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

fof(f496,plain,
    ( spl15_42
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

fof(f4858,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_42 ),
    inference(backward_demodulation,[],[f259,f498]) ).

fof(f498,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_42 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f259,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4863,plain,
    ( spl15_97
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f4860,f895,f496,f787]) ).

fof(f895,plain,
    ( spl15_113
  <=> e3 = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).

fof(f4860,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(backward_demodulation,[],[f897,f498]) ).

fof(f897,plain,
    ( e3 = op(e3,op(e3,e1))
    | ~ spl15_113 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f4862,plain,
    ( ~ spl15_44
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f4856,f496,f504]) ).

fof(f504,plain,
    ( spl15_44
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f4856,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_42 ),
    inference(backward_demodulation,[],[f230,f498]) ).

fof(f230,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4841,plain,
    ( ~ spl15_40
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f4840,f542,f485]) ).

fof(f542,plain,
    ( spl15_52
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).

fof(f4840,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_52 ),
    inference(backward_demodulation,[],[f258,f544]) ).

fof(f544,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f258,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4839,plain,
    ( ~ spl15_9
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4838,f644,f347]) ).

fof(f347,plain,
    ( spl15_9
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f4838,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f229,f646]) ).

fof(f229,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4836,plain,
    ( ~ spl15_72
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f4831,f751,f649]) ).

fof(f649,plain,
    ( spl15_72
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).

fof(f4831,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f269,f753]) ).

fof(f753,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f269,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4823,plain,
    ( ~ spl15_40
    | spl15_73
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f4819,f899,f653,f485]) ).

fof(f653,plain,
    ( spl15_73
  <=> e3 = op(op(e1,op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).

fof(f899,plain,
    ( spl15_114
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).

fof(f4819,plain,
    ( e3 != op(e1,e1)
    | spl15_73
    | ~ spl15_114 ),
    inference(backward_demodulation,[],[f655,f901]) ).

fof(f901,plain,
    ( e1 = op(e1,op(e1,e1))
    | ~ spl15_114 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f655,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | spl15_73 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f4801,plain,
    ( ~ spl15_101
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f4800,f669,f810]) ).

fof(f4800,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f242,f671]) ).

fof(f671,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f4790,plain,
    ( ~ spl15_45
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4789,f382,f508]) ).

fof(f4789,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f228,f383]) ).

fof(f228,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4783,plain,
    ( ~ spl15_45
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f4781,f664,f508]) ).

fof(f664,plain,
    ( spl15_75
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).

fof(f4781,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_75 ),
    inference(backward_demodulation,[],[f241,f666]) ).

fof(f666,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f241,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4780,plain,
    ( ~ spl15_48
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f4779]) ).

fof(f4779,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f4778,f306]) ).

fof(f306,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f4778,plain,
    ( e0 = e1
    | ~ spl15_48
    | ~ spl15_102 ),
    inference(backward_demodulation,[],[f821,f524]) ).

fof(f524,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_48 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl15_48
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

fof(f821,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f4777,plain,
    ( ~ spl15_111
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f4776,f669,f884]) ).

fof(f884,plain,
    ( spl15_111
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).

fof(f4776,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f234,f671]) ).

fof(f234,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4773,plain,
    ( ~ spl15_61
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f4772,f644,f591]) ).

fof(f591,plain,
    ( spl15_61
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).

fof(f4772,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f266,f646]) ).

fof(f266,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4763,plain,
    ( ~ spl15_44
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f4761,f490,f504]) ).

fof(f4761,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_41 ),
    inference(backward_demodulation,[],[f243,f492]) ).

fof(f243,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4755,plain,
    ( ~ spl15_2
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f4754,f339,f316]) ).

fof(f316,plain,
    ( spl15_2
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f4754,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_7 ),
    inference(backward_demodulation,[],[f274,f341]) ).

fof(f341,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f274,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4753,plain,
    ( ~ spl15_103
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f4752,f819,f831]) ).

fof(f4752,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f273,f821]) ).

fof(f273,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4751,plain,
    ( ~ spl15_49
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f4750,f819,f527]) ).

fof(f527,plain,
    ( spl15_49
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

fof(f4750,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f237,f821]) ).

fof(f4731,plain,
    ( ~ spl15_65
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f4730]) ).

fof(f4730,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f4729,f307]) ).

fof(f4729,plain,
    ( e1 = e3
    | ~ spl15_65
    | ~ spl15_102 ),
    inference(backward_demodulation,[],[f616,f821]) ).

fof(f4720,plain,
    ( spl15_70
    | ~ spl15_83
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f4719,f758,f710,f639]) ).

fof(f639,plain,
    ( spl15_70
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).

fof(f710,plain,
    ( spl15_83
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).

fof(f758,plain,
    ( spl15_91
  <=> e1 = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).

fof(f4719,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_83
    | ~ spl15_91 ),
    inference(backward_demodulation,[],[f760,f712]) ).

fof(f712,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f760,plain,
    ( e1 = op(e1,op(e1,e3))
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f4698,plain,
    ( ~ spl15_7
    | ~ spl15_12
    | spl15_53 ),
    inference(avatar_split_clause,[],[f4697,f547,f360,f339]) ).

fof(f360,plain,
    ( spl15_12
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f547,plain,
    ( spl15_53
  <=> e3 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).

fof(f4697,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_12
    | spl15_53 ),
    inference(forward_demodulation,[],[f549,f361]) ).

fof(f361,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f549,plain,
    ( e3 != op(e2,op(e2,e2))
    | spl15_53 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f4696,plain,
    ( spl15_9
    | ~ spl15_47
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f4695,f766,f518,f347]) ).

fof(f518,plain,
    ( spl15_47
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).

fof(f766,plain,
    ( spl15_93
  <=> e2 = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).

fof(f4695,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_47
    | ~ spl15_93 ),
    inference(forward_demodulation,[],[f768,f520]) ).

fof(f520,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_47 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f768,plain,
    ( e2 = op(e2,op(e2,e3))
    | ~ spl15_93 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f4689,plain,
    ( ~ spl15_12
    | ~ spl15_47 ),
    inference(avatar_contradiction_clause,[],[f4688]) ).

fof(f4688,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_47 ),
    inference(subsumption_resolution,[],[f4687,f361]) ).

fof(f4687,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_47 ),
    inference(forward_demodulation,[],[f272,f520]) ).

fof(f4679,plain,
    ( ~ spl15_82
    | ~ spl15_87
    | spl15_107 ),
    inference(avatar_split_clause,[],[f4678,f864,f731,f706]) ).

fof(f706,plain,
    ( spl15_82
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).

fof(f731,plain,
    ( spl15_87
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).

fof(f864,plain,
    ( spl15_107
  <=> e1 = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).

fof(f4678,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_87
    | spl15_107 ),
    inference(forward_demodulation,[],[f865,f733]) ).

fof(f733,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f865,plain,
    ( e1 != op(e1,op(e1,e0))
    | spl15_107 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f4667,plain,
    ( ~ spl15_97
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f4522,f696,f787]) ).

fof(f696,plain,
    ( spl15_80
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).

fof(f4522,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f236,f698]) ).

fof(f698,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_80 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f4662,plain,
    ( ~ spl15_101
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f4661,f715,f810]) ).

fof(f715,plain,
    ( spl15_84
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).

fof(f4661,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f251,f717]) ).

fof(f717,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f4659,plain,
    ( ~ spl15_7
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f4658,f731,f339]) ).

fof(f4658,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f233,f733]) ).

fof(f233,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4653,plain,
    ( ~ spl15_101
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f4652,f696,f810]) ).

fof(f4652,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f257,f698]) ).

fof(f257,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4647,plain,
    ( spl15_9
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f4641,f923,f360,f347]) ).

fof(f923,plain,
    ( spl15_116
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).

fof(f4641,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(backward_demodulation,[],[f925,f361]) ).

fof(f925,plain,
    ( e2 = op(e2,op(e2,e2))
    | ~ spl15_116 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f4634,plain,
    ( ~ spl15_2
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f4633,f715,f316]) ).

fof(f4633,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_84 ),
    inference(backward_demodulation,[],[f265,f717]) ).

fof(f265,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4623,plain,
    ( ~ spl15_72
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f4519,f456,f649]) ).

fof(f4519,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f254,f458]) ).

fof(f254,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4621,plain,
    ( spl15_88
    | ~ spl15_34
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f4620,f895,f456,f735]) ).

fof(f4620,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_34
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f897,f458]) ).

fof(f4616,plain,
    ( ~ spl15_69
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f4615]) ).

fof(f4615,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f4614,f307]) ).

fof(f4614,plain,
    ( e1 = e3
    | ~ spl15_69
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f789,f637]) ).

fof(f4607,plain,
    ( ~ spl15_38
    | ~ spl15_40
    | spl15_72
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f4606]) ).

fof(f4606,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_40
    | spl15_72
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f4605,f651]) ).

fof(f651,plain,
    ( e0 != op(e1,e1)
    | spl15_72 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f4605,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_38
    | ~ spl15_40
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f4604,f708]) ).

fof(f708,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f4604,plain,
    ( e0 = op(op(e1,e3),e1)
    | ~ spl15_38
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f478,f486]) ).

fof(f478,plain,
    ( e0 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_38 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f4599,plain,
    ( ~ spl15_41
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f4598]) ).

fof(f4598,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f4335,f492]) ).

fof(f4335,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_96 ),
    inference(backward_demodulation,[],[f260,f782]) ).

fof(f782,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_96 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl15_96
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).

fof(f260,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4597,plain,
    ( ~ spl15_10
    | spl15_15
    | ~ spl15_51
    | ~ spl15_61 ),
    inference(avatar_contradiction_clause,[],[f4596]) ).

fof(f4596,plain,
    ( $false
    | ~ spl15_10
    | spl15_15
    | ~ spl15_51
    | ~ spl15_61 ),
    inference(subsumption_resolution,[],[f4437,f353]) ).

fof(f353,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl15_10
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f4437,plain,
    ( e1 != op(e2,e0)
    | spl15_15
    | ~ spl15_51
    | ~ spl15_61 ),
    inference(backward_demodulation,[],[f4433,f593]) ).

fof(f593,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f4433,plain,
    ( e1 != op(op(e0,e3),e0)
    | spl15_15
    | ~ spl15_51 ),
    inference(forward_demodulation,[],[f376,f538]) ).

fof(f538,plain,
    ( op(e0,e0) = e3
    | ~ spl15_51 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl15_51
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).

fof(f376,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | spl15_15 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl15_15
  <=> e1 = op(op(e0,op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f4589,plain,
    ( ~ spl15_40
    | ~ spl15_82
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f4588]) ).

fof(f4588,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_82
    | spl15_114 ),
    inference(subsumption_resolution,[],[f4526,f708]) ).

fof(f4526,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_40
    | spl15_114 ),
    inference(forward_demodulation,[],[f900,f486]) ).

fof(f900,plain,
    ( e1 != op(e1,op(e1,e1))
    | spl15_114 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f4587,plain,
    ( ~ spl15_7
    | ~ spl15_10 ),
    inference(avatar_contradiction_clause,[],[f4586]) ).

fof(f4586,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_10 ),
    inference(subsumption_resolution,[],[f4585,f307]) ).

fof(f4585,plain,
    ( e1 = e3
    | ~ spl15_7
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f341,f353]) ).

fof(f4554,plain,
    ( spl15_41
    | ~ spl15_62
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f4553,f903,f597,f490]) ).

fof(f4553,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_62
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f905,f599]) ).

fof(f599,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_62 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f4547,plain,
    ( ~ spl15_8
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f4546,f745,f343]) ).

fof(f343,plain,
    ( spl15_8
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f745,plain,
    ( spl15_89
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).

fof(f4546,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_89 ),
    inference(forward_demodulation,[],[f233,f747]) ).

fof(f747,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_89 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f4516,plain,
    ( ~ spl15_20
    | ~ spl15_81
    | spl15_91 ),
    inference(avatar_contradiction_clause,[],[f4515]) ).

fof(f4515,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_81
    | spl15_91 ),
    inference(subsumption_resolution,[],[f4514,f398]) ).

fof(f398,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl15_20
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f4514,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_81
    | spl15_91 ),
    inference(forward_demodulation,[],[f759,f704]) ).

fof(f759,plain,
    ( e1 != op(e1,op(e1,e3))
    | spl15_91 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f4495,plain,
    ( ~ spl15_52
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f4491,f696,f542]) ).

fof(f4491,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_80 ),
    inference(backward_demodulation,[],[f271,f698]) ).

fof(f271,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4490,plain,
    ( ~ spl15_45
    | ~ spl15_69
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f4489]) ).

fof(f4489,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_69
    | ~ spl15_109 ),
    inference(subsumption_resolution,[],[f4488,f307]) ).

fof(f4488,plain,
    ( e1 = e3
    | ~ spl15_45
    | ~ spl15_69
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f4487,f637]) ).

fof(f4487,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_45
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f874,f510]) ).

fof(f510,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f874,plain,
    ( e3 = op(e3,op(e3,e0))
    | ~ spl15_109 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl15_109
  <=> e3 = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).

fof(f4458,plain,
    ( ~ spl15_21
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f4457,f635,f400]) ).

fof(f400,plain,
    ( spl15_21
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f4457,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_69 ),
    inference(forward_demodulation,[],[f246,f637]) ).

fof(f4452,plain,
    ( ~ spl15_34
    | ~ spl15_69
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f4451]) ).

fof(f4451,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_69
    | ~ spl15_119 ),
    inference(subsumption_resolution,[],[f4450,f310]) ).

fof(f310,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f4450,plain,
    ( e0 = e3
    | ~ spl15_34
    | ~ spl15_69
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f4449,f458]) ).

fof(f4449,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_69
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f937,f637]) ).

fof(f4444,plain,
    ( ~ spl15_84
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f4443,f537,f715]) ).

fof(f4443,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_51 ),
    inference(forward_demodulation,[],[f268,f538]) ).

fof(f4442,plain,
    ( spl15_3
    | ~ spl15_61
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f4439,f762,f591,f321]) ).

fof(f4439,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_61
    | ~ spl15_92 ),
    inference(backward_demodulation,[],[f764,f593]) ).

fof(f764,plain,
    ( e0 = op(e0,op(e0,e3))
    | ~ spl15_92 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f4441,plain,
    ( ~ spl15_43
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f4438,f591,f500]) ).

fof(f500,plain,
    ( spl15_43
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

fof(f4438,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_61 ),
    inference(backward_demodulation,[],[f257,f593]) ).

fof(f4431,plain,
    ( ~ spl15_101
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f4429,f537,f810]) ).

fof(f4429,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_51 ),
    inference(backward_demodulation,[],[f235,f538]) ).

fof(f235,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4423,plain,
    ( ~ spl15_33
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f4422,f343,f452]) ).

fof(f452,plain,
    ( spl15_33
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f4422,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f262,f345]) ).

fof(f345,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f4415,plain,
    ( ~ spl15_63
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f4396,f780,f601]) ).

fof(f4396,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f269,f782]) ).

fof(f4370,plain,
    ( ~ spl15_60
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f4369,f597,f587]) ).

fof(f587,plain,
    ( spl15_60
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).

fof(f4369,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f267,f599]) ).

fof(f4364,plain,
    ( ~ spl15_69
    | ~ spl15_53
    | spl15_55 ),
    inference(avatar_split_clause,[],[f4363,f561,f547,f635]) ).

fof(f561,plain,
    ( spl15_55
  <=> e1 = op(op(e2,op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).

fof(f4363,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_53
    | spl15_55 ),
    inference(forward_demodulation,[],[f563,f548]) ).

fof(f548,plain,
    ( e3 = op(e2,op(e2,e2))
    | ~ spl15_53 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f563,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | spl15_55 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f4355,plain,
    ( ~ spl15_82
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f4354,f831,f706]) ).

fof(f4354,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_103 ),
    inference(forward_demodulation,[],[f270,f833]) ).

fof(f270,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4331,plain,
    ( ~ spl15_60
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f4330,f382,f587]) ).

fof(f4330,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f244,f383]) ).

fof(f244,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4329,plain,
    ( ~ spl15_76
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f4328,f715,f669]) ).

fof(f4328,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f264,f717]) ).

fof(f264,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4326,plain,
    ( ~ spl15_42
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f4147,f500,f496]) ).

fof(f4147,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f231,f502]) ).

fof(f502,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_43 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f231,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4309,plain,
    ( ~ spl15_69
    | ~ spl15_43
    | spl15_100 ),
    inference(avatar_split_clause,[],[f4198,f804,f500,f635]) ).

fof(f4198,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_43
    | spl15_100 ),
    inference(forward_demodulation,[],[f806,f502]) ).

fof(f806,plain,
    ( e1 != op(e3,op(e3,e3))
    | spl15_100 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f4297,plain,
    ( ~ spl15_13
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f4296,f396,f365]) ).

fof(f4296,plain,
    ( op(e0,e0) != e1
    | ~ spl15_20 ),
    inference(forward_demodulation,[],[f275,f398]) ).

fof(f275,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4295,plain,
    ( ~ spl15_7
    | ~ spl15_103
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f4294]) ).

fof(f4294,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_103
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f4293,f309]) ).

fof(f4293,plain,
    ( e1 = e2
    | ~ spl15_7
    | ~ spl15_103
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f4290,f833]) ).

fof(f4290,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_7
    | ~ spl15_108 ),
    inference(backward_demodulation,[],[f870,f341]) ).

fof(f870,plain,
    ( e2 = op(e2,op(e2,e0))
    | ~ spl15_108 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl15_108
  <=> e2 = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).

fof(f4288,plain,
    ( ~ spl15_10
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f4287,f831,f351]) ).

fof(f4287,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_103 ),
    inference(forward_demodulation,[],[f229,f833]) ).

fof(f4265,plain,
    ( ~ spl15_41
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f4264]) ).

fof(f4264,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f4263,f534]) ).

fof(f534,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_50 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f4263,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f265,f492]) ).

fof(f4253,plain,
    ( ~ spl15_35
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f4252]) ).

fof(f4252,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_69 ),
    inference(subsumption_resolution,[],[f4251,f306]) ).

fof(f4251,plain,
    ( e0 = e1
    | ~ spl15_35
    | ~ spl15_69 ),
    inference(forward_demodulation,[],[f637,f462]) ).

fof(f462,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl15_35
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f4235,plain,
    ( ~ spl15_41
    | spl15_116 ),
    inference(avatar_contradiction_clause,[],[f4234]) ).

fof(f4234,plain,
    ( $false
    | ~ spl15_41
    | spl15_116 ),
    inference(subsumption_resolution,[],[f4233,f492]) ).

fof(f4233,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_41
    | spl15_116 ),
    inference(forward_demodulation,[],[f924,f492]) ).

fof(f924,plain,
    ( e2 != op(e2,op(e2,e2))
    | spl15_116 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f4227,plain,
    ( ~ spl15_40
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f4226,f793,f485]) ).

fof(f4226,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f269,f795]) ).

fof(f4221,plain,
    ( ~ spl15_62
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f4220,f496,f597]) ).

fof(f4220,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_42 ),
    inference(forward_demodulation,[],[f249,f498]) ).

fof(f249,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4193,plain,
    ( ~ spl15_2
    | ~ spl15_41 ),
    inference(avatar_contradiction_clause,[],[f4192]) ).

fof(f4192,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_41 ),
    inference(subsumption_resolution,[],[f4191,f308]) ).

fof(f308,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f4191,plain,
    ( e2 = e3
    | ~ spl15_2
    | ~ spl15_41 ),
    inference(backward_demodulation,[],[f317,f492]) ).

fof(f317,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f4178,plain,
    ( ~ spl15_66
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f4174,f831,f621]) ).

fof(f4174,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_103 ),
    inference(backward_demodulation,[],[f266,f833]) ).

fof(f4163,plain,
    ( ~ spl15_40
    | ~ spl15_81
    | spl15_95 ),
    inference(avatar_contradiction_clause,[],[f4162]) ).

fof(f4162,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_81
    | spl15_95 ),
    inference(subsumption_resolution,[],[f4158,f704]) ).

fof(f4158,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_40
    | spl15_95 ),
    inference(backward_demodulation,[],[f777,f486]) ).

fof(f777,plain,
    ( e0 != op(e1,op(e1,e1))
    | spl15_95 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl15_95
  <=> e0 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).

fof(f4153,plain,
    ( ~ spl15_49
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f4152,f658,f527]) ).

fof(f658,plain,
    ( spl15_74
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).

fof(f4152,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f254,f660]) ).

fof(f660,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f4142,plain,
    ( ~ spl15_102
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f4141,f658,f819]) ).

fof(f4141,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f249,f660]) ).

fof(f4134,plain,
    ( ~ spl15_72
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f4130,f702,f649]) ).

fof(f4130,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_81 ),
    inference(backward_demodulation,[],[f258,f704]) ).

fof(f4120,plain,
    ( ~ spl15_49
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f4052,f639,f527]) ).

fof(f4052,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f269,f641]) ).

fof(f641,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f4119,plain,
    ( ~ spl15_76
    | ~ spl15_13
    | spl15_16 ),
    inference(avatar_split_clause,[],[f4118,f378,f365,f669]) ).

fof(f378,plain,
    ( spl15_16
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f4118,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_13
    | spl15_16 ),
    inference(forward_demodulation,[],[f380,f366]) ).

fof(f380,plain,
    ( e3 != op(e0,op(e0,e0))
    | spl15_16 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f4115,plain,
    ( ~ spl15_66
    | ~ spl15_35
    | ~ spl15_43
    | spl15_77 ),
    inference(avatar_split_clause,[],[f4114,f676,f500,f460,f621]) ).

fof(f676,plain,
    ( spl15_77
  <=> e1 = op(op(e3,op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).

fof(f4114,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_35
    | ~ spl15_43
    | spl15_77 ),
    inference(forward_demodulation,[],[f4113,f462]) ).

fof(f4113,plain,
    ( e1 != op(op(e3,e2),e3)
    | ~ spl15_43
    | spl15_77 ),
    inference(backward_demodulation,[],[f678,f502]) ).

fof(f678,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | spl15_77 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f4112,plain,
    ( spl15_5
    | ~ spl15_13
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f4111,f860,f365,f330]) ).

fof(f330,plain,
    ( spl15_5
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f4111,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_13
    | ~ spl15_106 ),
    inference(forward_demodulation,[],[f862,f366]) ).

fof(f4095,plain,
    ( spl15_41
    | ~ spl15_71
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f4094]) ).

fof(f4094,plain,
    ( $false
    | spl15_41
    | ~ spl15_71
    | ~ spl15_93 ),
    inference(subsumption_resolution,[],[f4090,f491]) ).

fof(f491,plain,
    ( e2 != op(e2,e2)
    | spl15_41 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f4090,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_71
    | ~ spl15_93 ),
    inference(backward_demodulation,[],[f768,f646]) ).

fof(f4037,plain,
    ( ~ spl15_74
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f4034,f419,f658]) ).

fof(f4034,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_25 ),
    inference(backward_demodulation,[],[f231,f420]) ).

fof(f4026,plain,
    ( spl15_71
    | ~ spl15_2
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f4025,f923,f316,f644]) ).

fof(f4025,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_2
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f925,f317]) ).

fof(f4023,plain,
    ( ~ spl15_65
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f4022,f669,f614]) ).

fof(f4022,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f267,f671]) ).

fof(f4021,plain,
    ( ~ spl15_87
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f3993,f735,f731]) ).

fof(f3993,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f241,f737]) ).

fof(f4020,plain,
    ( ~ spl15_20
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f3978,f639,f396]) ).

fof(f3978,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f238,f641]) ).

fof(f238,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4011,plain,
    ( ~ spl15_60
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3890,f601,f587]) ).

fof(f3890,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f263,f603]) ).

fof(f3983,plain,
    ( ~ spl15_9
    | spl15_41
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3982]) ).

fof(f3982,plain,
    ( $false
    | ~ spl15_9
    | spl15_41
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f3981,f491]) ).

fof(f3981,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_9
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f870,f349]) ).

fof(f349,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f3975,plain,
    ( ~ spl15_63
    | spl15_90
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f3974]) ).

fof(f3974,plain,
    ( $false
    | ~ spl15_63
    | spl15_90
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f3873,f752]) ).

fof(f752,plain,
    ( e0 != op(e1,e2)
    | spl15_90 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f3873,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_63
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f776,f603]) ).

fof(f776,plain,
    ( e0 = op(e1,op(e1,e1))
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f3962,plain,
    ( ~ spl15_60
    | ~ spl15_13
    | spl15_56 ),
    inference(avatar_split_clause,[],[f3958,f569,f365,f587]) ).

fof(f569,plain,
    ( spl15_56
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).

fof(f3958,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_13
    | spl15_56 ),
    inference(backward_demodulation,[],[f571,f366]) ).

fof(f571,plain,
    ( e2 != op(e0,op(e0,e0))
    | spl15_56 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f3953,plain,
    ( ~ spl15_63
    | ~ spl15_70
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f3952]) ).

fof(f3952,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_70
    | spl15_114 ),
    inference(subsumption_resolution,[],[f3895,f641]) ).

fof(f3895,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_63
    | spl15_114 ),
    inference(forward_demodulation,[],[f900,f603]) ).

fof(f3951,plain,
    ( ~ spl15_67
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f3950,f639,f625]) ).

fof(f3950,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f256,f641]) ).

fof(f256,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3947,plain,
    ( ~ spl15_68
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f3946,f658,f629]) ).

fof(f3946,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f234,f660]) ).

fof(f3936,plain,
    ( ~ spl15_21
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f3935,f658,f400]) ).

fof(f3935,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f259,f660]) ).

fof(f3931,plain,
    ( ~ spl15_51
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f3930,f735,f537]) ).

fof(f3930,plain,
    ( op(e0,e0) != e3
    | ~ spl15_88 ),
    inference(backward_demodulation,[],[f228,f737]) ).

fof(f3925,plain,
    ( ~ spl15_75
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3818,f601,f664]) ).

fof(f3818,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f252,f603]) ).

fof(f252,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3923,plain,
    ( ~ spl15_2
    | spl15_54
    | ~ spl15_90
    | ~ spl15_103 ),
    inference(avatar_contradiction_clause,[],[f3922]) ).

fof(f3922,plain,
    ( $false
    | ~ spl15_2
    | spl15_54
    | ~ spl15_90
    | ~ spl15_103 ),
    inference(subsumption_resolution,[],[f3919,f753]) ).

fof(f3919,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_2
    | spl15_54
    | ~ spl15_103 ),
    inference(backward_demodulation,[],[f3876,f833]) ).

fof(f3876,plain,
    ( e0 != op(op(e2,e3),e2)
    | ~ spl15_2
    | spl15_54 ),
    inference(forward_demodulation,[],[f553,f317]) ).

fof(f553,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | spl15_54 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl15_54
  <=> e0 = op(op(e2,op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).

fof(f3902,plain,
    ( ~ spl15_89
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f3901,f751,f745]) ).

fof(f3901,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f238,f753]) ).

fof(f3886,plain,
    ( ~ spl15_63
    | ~ spl15_68
    | ~ spl15_90
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f3885]) ).

fof(f3885,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_68
    | ~ spl15_90
    | ~ spl15_104 ),
    inference(subsumption_resolution,[],[f3884,f309]) ).

fof(f3884,plain,
    ( e1 = e2
    | ~ spl15_63
    | ~ spl15_68
    | ~ spl15_90
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f3883,f631]) ).

fof(f3883,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_63
    | ~ spl15_90
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f3660,f753]) ).

fof(f3660,plain,
    ( e2 = op(op(e1,e2),e1)
    | ~ spl15_63
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f838,f603]) ).

fof(f838,plain,
    ( e2 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_104 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl15_104
  <=> e2 = op(op(e1,op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).

fof(f3879,plain,
    ( ~ spl15_5
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f3878,f522,f330]) ).

fof(f3878,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f267,f524]) ).

fof(f3868,plain,
    ( ~ spl15_44
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f3867,f532,f504]) ).

fof(f3867,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_50 ),
    inference(forward_demodulation,[],[f253,f534]) ).

fof(f253,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3838,plain,
    ( spl15_46
    | ~ spl15_51
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f3837,f860,f537,f513]) ).

fof(f3837,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_51
    | ~ spl15_106 ),
    inference(backward_demodulation,[],[f862,f538]) ).

fof(f3831,plain,
    ( ~ spl15_23
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f3830,f542,f410]) ).

fof(f410,plain,
    ( spl15_23
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f3830,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_52 ),
    inference(backward_demodulation,[],[f270,f544]) ).

fof(f3826,plain,
    ( ~ spl15_44
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f3825,f500,f504]) ).

fof(f3825,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f236,f502]) ).

fof(f3823,plain,
    ( ~ spl15_61
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f3822,f532,f591]) ).

fof(f3822,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_50 ),
    inference(forward_demodulation,[],[f251,f534]) ).

fof(f3803,plain,
    ( ~ spl15_45
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f3802,f347,f508]) ).

fof(f3802,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_9 ),
    inference(backward_demodulation,[],[f262,f349]) ).

fof(f3797,plain,
    ( ~ spl15_83
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f3790,f500,f710]) ).

fof(f3790,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_43 ),
    inference(backward_demodulation,[],[f271,f502]) ).

fof(f3796,plain,
    ( ~ spl15_43
    | ~ spl15_94
    | spl15_97 ),
    inference(avatar_contradiction_clause,[],[f3795]) ).

fof(f3795,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_94
    | spl15_97 ),
    inference(subsumption_resolution,[],[f3792,f788]) ).

fof(f788,plain,
    ( e3 != op(e3,e2)
    | spl15_97 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f3792,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_43
    | ~ spl15_94 ),
    inference(backward_demodulation,[],[f772,f502]) ).

fof(f772,plain,
    ( e3 = op(e3,op(e3,e3))
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl15_94
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).

fof(f3794,plain,
    ( ~ spl15_35
    | ~ spl15_43
    | spl15_105 ),
    inference(avatar_split_clause,[],[f3793,f845,f500,f460]) ).

fof(f845,plain,
    ( spl15_105
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).

fof(f3793,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_43
    | spl15_105 ),
    inference(backward_demodulation,[],[f847,f502]) ).

fof(f847,plain,
    ( e0 != op(e3,op(e3,e3))
    | spl15_105 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f3787,plain,
    ( ~ spl15_10
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f3785,f396,f351]) ).

fof(f3785,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_20 ),
    inference(backward_demodulation,[],[f233,f398]) ).

fof(f3782,plain,
    ( ~ spl15_23
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f3781,f316,f410]) ).

fof(f3781,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_2 ),
    inference(forward_demodulation,[],[f272,f317]) ).

fof(f3767,plain,
    ( ~ spl15_81
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f3766]) ).

fof(f3766,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_89 ),
    inference(subsumption_resolution,[],[f3631,f704]) ).

fof(f3631,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_89 ),
    inference(forward_demodulation,[],[f240,f747]) ).

fof(f240,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3742,plain,
    ( ~ spl15_21
    | spl15_15
    | ~ spl15_17
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f3741,f715,f382,f374,f400]) ).

fof(f3741,plain,
    ( e1 != op(e3,e0)
    | spl15_15
    | ~ spl15_17
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f3740,f717]) ).

fof(f3740,plain,
    ( e1 != op(op(e0,e2),e0)
    | spl15_15
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f376,f383]) ).

fof(f3739,plain,
    ( spl15_88
    | ~ spl15_35
    | ~ spl15_119 ),
    inference(avatar_split_clause,[],[f3734,f935,f460,f735]) ).

fof(f3734,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_35
    | ~ spl15_119 ),
    inference(backward_demodulation,[],[f937,f462]) ).

fof(f3732,plain,
    ( ~ spl15_88
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f3731,f696,f735]) ).

fof(f3731,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f245,f698]) ).

fof(f245,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3728,plain,
    ( ~ spl15_87
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f3727]) ).

fof(f3727,plain,
    ( $false
    | ~ spl15_87
    | ~ spl15_89 ),
    inference(subsumption_resolution,[],[f3726,f310]) ).

fof(f3726,plain,
    ( e0 = e3
    | ~ spl15_87
    | ~ spl15_89 ),
    inference(forward_demodulation,[],[f733,f747]) ).

fof(f3711,plain,
    ( ~ spl15_35
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f3710,f360,f460]) ).

fof(f3710,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f243,f361]) ).

fof(f3707,plain,
    ( ~ spl15_12
    | ~ spl15_41 ),
    inference(avatar_contradiction_clause,[],[f3706]) ).

fof(f3706,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_41 ),
    inference(subsumption_resolution,[],[f3705,f305]) ).

fof(f305,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f3705,plain,
    ( e0 = e2
    | ~ spl15_12
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f492,f361]) ).

fof(f3700,plain,
    ( ~ spl15_97
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f3699,f715,f787]) ).

fof(f3699,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f253,f717]) ).

fof(f3697,plain,
    ( ~ spl15_62
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f3624,f644,f597]) ).

fof(f3624,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f273,f646]) ).

fof(f3684,plain,
    ( spl15_16
    | ~ spl15_17
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f3683]) ).

fof(f3683,plain,
    ( $false
    | spl15_16
    | ~ spl15_17
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f3682,f717]) ).

fof(f3682,plain,
    ( e3 != op(e0,e2)
    | spl15_16
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f380,f383]) ).

fof(f3674,plain,
    ( spl15_49
    | ~ spl15_70
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f3673]) ).

fof(f3673,plain,
    ( $false
    | spl15_49
    | ~ spl15_70
    | ~ spl15_118 ),
    inference(subsumption_resolution,[],[f3672,f529]) ).

fof(f529,plain,
    ( e1 != op(e1,e1)
    | spl15_49 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f3672,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_70
    | ~ spl15_118 ),
    inference(forward_demodulation,[],[f933,f641]) ).

fof(f933,plain,
    ( e1 = op(e1,op(e1,e2))
    | ~ spl15_118 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl15_118
  <=> e1 = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).

fof(f3635,plain,
    ( ~ spl15_83
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f3633,f601,f710]) ).

fof(f3633,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_63 ),
    inference(backward_demodulation,[],[f258,f603]) ).

fof(f3616,plain,
    ( ~ spl15_25
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f3615,f400,f419]) ).

fof(f3615,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f245,f402]) ).

fof(f402,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_21 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f3612,plain,
    ( spl15_111
    | ~ spl15_21
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f3611,f872,f400,f884]) ).

fof(f3611,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_21
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f874,f402]) ).

fof(f3608,plain,
    ( ~ spl15_83
    | spl15_99
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f3607,f804,f800,f710]) ).

fof(f800,plain,
    ( spl15_99
  <=> e2 = op(op(e3,op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).

fof(f3607,plain,
    ( e2 != op(e1,e3)
    | spl15_99
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f802,f805]) ).

fof(f802,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | spl15_99 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f3584,plain,
    ( ~ spl15_83
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f3582,f644,f710]) ).

fof(f3582,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f270,f646]) ).

fof(f3578,plain,
    ( ~ spl15_34
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f3577,f330,f456]) ).

fof(f3577,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f234,f332]) ).

fof(f332,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f3570,plain,
    ( ~ spl15_13
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f3568,f400,f365]) ).

fof(f3568,plain,
    ( op(e0,e0) != e1
    | ~ spl15_21 ),
    inference(backward_demodulation,[],[f228,f402]) ).

fof(f3557,plain,
    ( ~ spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3556]) ).

fof(f3556,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f3555,f305]) ).

fof(f3555,plain,
    ( e0 = e2
    | ~ spl15_9
    | ~ spl15_12
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f3554,f361]) ).

fof(f3554,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_9
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f870,f349]) ).

fof(f3549,plain,
    ( ~ spl15_5
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f3548,f513,f330]) ).

fof(f3548,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_46 ),
    inference(forward_demodulation,[],[f242,f515]) ).

fof(f515,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_46 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f3521,plain,
    ( ~ spl15_8
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f3520,f360,f343]) ).

fof(f3520,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f274,f361]) ).

fof(f3505,plain,
    ( ~ spl15_46
    | ~ spl15_84
    | spl15_117 ),
    inference(avatar_split_clause,[],[f3392,f927,f715,f513]) ).

fof(f927,plain,
    ( spl15_117
  <=> e0 = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).

fof(f3392,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_84
    | spl15_117 ),
    inference(backward_demodulation,[],[f928,f717]) ).

fof(f928,plain,
    ( e0 != op(e0,op(e0,e2))
    | spl15_117 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f3458,plain,
    ( ~ spl15_61
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f3457,f710,f591]) ).

fof(f3457,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f239,f712]) ).

fof(f3445,plain,
    ( ~ spl15_18
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f3444,f819,f387]) ).

fof(f3444,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f248,f821]) ).

fof(f3439,plain,
    ( ~ spl15_7
    | ~ spl15_56
    | spl15_57 ),
    inference(avatar_split_clause,[],[f3438,f573,f569,f339]) ).

fof(f573,plain,
    ( spl15_57
  <=> e3 = op(op(e0,op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).

fof(f3438,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_56
    | spl15_57 ),
    inference(backward_demodulation,[],[f575,f570]) ).

fof(f570,plain,
    ( e2 = op(e0,op(e0,e0))
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f575,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | spl15_57 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f3432,plain,
    ( ~ spl15_7
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f3431,f410,f339]) ).

fof(f3431,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f229,f412]) ).

fof(f412,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f3421,plain,
    ( ~ spl15_36
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f3420,f456,f464]) ).

fof(f464,plain,
    ( spl15_36
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f3420,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f231,f458]) ).

fof(f3419,plain,
    ( ~ spl15_75
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f3417,f710,f664]) ).

fof(f3417,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_83 ),
    inference(backward_demodulation,[],[f240,f712]) ).

fof(f3411,plain,
    ( spl15_80
    | ~ spl15_88
    | ~ spl15_109 ),
    inference(avatar_split_clause,[],[f3410,f872,f735,f696]) ).

fof(f3410,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_88
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f874,f737]) ).

fof(f3312,plain,
    ( ~ spl15_21
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f3311,f396,f400]) ).

fof(f3311,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_20 ),
    inference(forward_demodulation,[],[f241,f398]) ).

fof(f3300,plain,
    ( ~ spl15_21
    | ~ spl15_36
    | spl15_100 ),
    inference(avatar_split_clause,[],[f3298,f804,f464,f400]) ).

fof(f3298,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_36
    | spl15_100 ),
    inference(backward_demodulation,[],[f806,f466]) ).

fof(f466,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f3242,plain,
    ( spl15_62
    | ~ spl15_18
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f3241,f923,f387,f597]) ).

fof(f3241,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_18
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f925,f388]) ).

fof(f388,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f3238,plain,
    ( ~ spl15_5
    | spl15_37
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f3237]) ).

fof(f3237,plain,
    ( $false
    | ~ spl15_5
    | spl15_37
    | ~ spl15_112 ),
    inference(subsumption_resolution,[],[f3236,f473]) ).

fof(f473,plain,
    ( e0 != op(e0,e0)
    | spl15_37 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl15_37
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f3236,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_5
    | ~ spl15_112 ),
    inference(forward_demodulation,[],[f893,f332]) ).

fof(f893,plain,
    ( e0 = op(e0,op(e0,e1))
    | ~ spl15_112 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl15_112
  <=> e0 = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).

fof(f3232,plain,
    ( spl15_3
    | ~ spl15_50
    | ~ spl15_117 ),
    inference(avatar_split_clause,[],[f3230,f927,f532,f321]) ).

fof(f3230,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_50
    | ~ spl15_117 ),
    inference(backward_demodulation,[],[f929,f534]) ).

fof(f929,plain,
    ( e0 = op(e0,op(e0,e2))
    | ~ spl15_117 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f3208,plain,
    ( ~ spl15_18
    | spl15_53
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f3207]) ).

fof(f3207,plain,
    ( $false
    | ~ spl15_18
    | spl15_53
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f2683,f616]) ).

fof(f2683,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_18
    | spl15_53 ),
    inference(forward_demodulation,[],[f549,f388]) ).

fof(f3206,plain,
    ( ~ spl15_3
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f3205,f330,f321]) ).

fof(f3205,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f264,f332]) ).

fof(f3204,plain,
    ( ~ spl15_47
    | ~ spl15_65
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f3203]) ).

fof(f3203,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_65
    | ~ spl15_115 ),
    inference(subsumption_resolution,[],[f3202,f305]) ).

fof(f3202,plain,
    ( e0 = e2
    | ~ spl15_47
    | ~ spl15_65
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f3201,f520]) ).

fof(f3201,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_65
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f905,f616]) ).

fof(f3181,plain,
    ( ~ spl15_20
    | ~ spl15_90
    | spl15_118 ),
    inference(avatar_split_clause,[],[f3180,f931,f751,f396]) ).

fof(f3180,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_90
    | spl15_118 ),
    inference(forward_demodulation,[],[f932,f753]) ).

fof(f932,plain,
    ( e1 != op(e1,op(e1,e2))
    | spl15_118 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f3175,plain,
    ( ~ spl15_3
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f3167,f751,f321]) ).

fof(f3167,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f256,f753]) ).

fof(f3159,plain,
    ( ~ spl15_36
    | ~ spl15_47 ),
    inference(avatar_split_clause,[],[f3158,f518,f464]) ).

fof(f3158,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_47 ),
    inference(forward_demodulation,[],[f261,f520]) ).

fof(f3153,plain,
    ( ~ spl15_62
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f3152,f347,f597]) ).

fof(f3152,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f247,f349]) ).

fof(f3108,plain,
    ( ~ spl15_46
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f3107,f464,f513]) ).

fof(f3107,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f257,f466]) ).

fof(f3081,plain,
    ( ~ spl15_3
    | ~ spl15_61
    | spl15_92 ),
    inference(avatar_split_clause,[],[f3080,f762,f591,f321]) ).

fof(f3080,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_61
    | spl15_92 ),
    inference(backward_demodulation,[],[f763,f593]) ).

fof(f3079,plain,
    ( ~ spl15_84
    | ~ spl15_18
    | ~ spl15_48
    | spl15_58 ),
    inference(avatar_split_clause,[],[f2694,f578,f522,f387,f715]) ).

fof(f578,plain,
    ( spl15_58
  <=> e3 = op(op(e2,op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).

fof(f2694,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_18
    | ~ spl15_48
    | spl15_58 ),
    inference(forward_demodulation,[],[f2595,f524]) ).

fof(f2595,plain,
    ( e3 != op(op(e2,e1),e2)
    | ~ spl15_18
    | spl15_58 ),
    inference(forward_demodulation,[],[f580,f388]) ).

fof(f580,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | spl15_58 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f3076,plain,
    ( ~ spl15_87
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f3071,f793,f731]) ).

fof(f3071,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_98 ),
    inference(backward_demodulation,[],[f238,f795]) ).

fof(f3065,plain,
    ( ~ spl15_3
    | ~ spl15_18
    | ~ spl15_48
    | spl15_54 ),
    inference(avatar_split_clause,[],[f2759,f551,f522,f387,f321]) ).

fof(f2759,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_18
    | ~ spl15_48
    | spl15_54 ),
    inference(forward_demodulation,[],[f2758,f524]) ).

fof(f2758,plain,
    ( e0 != op(op(e2,e1),e2)
    | ~ spl15_18
    | spl15_54 ),
    inference(forward_demodulation,[],[f553,f388]) ).

fof(f3064,plain,
    ( ~ spl15_46
    | ~ spl15_76
    | spl15_112 ),
    inference(avatar_split_clause,[],[f3063,f891,f669,f513]) ).

fof(f3063,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_76
    | spl15_112 ),
    inference(forward_demodulation,[],[f892,f671]) ).

fof(f892,plain,
    ( e0 != op(e0,op(e0,e1))
    | spl15_112 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f3025,plain,
    ( spl15_20
    | ~ spl15_90
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3024,plain,
    ( $false
    | spl15_20
    | ~ spl15_90
    | ~ spl15_118 ),
    inference(subsumption_resolution,[],[f3019,f397]) ).

fof(f397,plain,
    ( e1 != op(e1,e0)
    | spl15_20 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f3019,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_90
    | ~ spl15_118 ),
    inference(backward_demodulation,[],[f933,f753]) ).

fof(f3017,plain,
    ( ~ spl15_33
    | ~ spl15_109 ),
    inference(avatar_contradiction_clause,[],[f3016]) ).

fof(f3016,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_109 ),
    inference(subsumption_resolution,[],[f3015,f310]) ).

fof(f3015,plain,
    ( e0 = e3
    | ~ spl15_33
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f3014,f454]) ).

fof(f454,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_33 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f3014,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_33
    | ~ spl15_109 ),
    inference(forward_demodulation,[],[f874,f454]) ).

fof(f2995,plain,
    ( ~ spl15_35
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f2993,f452,f460]) ).

fof(f2993,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_33 ),
    inference(backward_demodulation,[],[f246,f454]) ).

fof(f2984,plain,
    ( ~ spl15_90
    | ~ spl15_63
    | spl15_95 ),
    inference(avatar_split_clause,[],[f2902,f775,f601,f751]) ).

fof(f2902,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_63
    | spl15_95 ),
    inference(forward_demodulation,[],[f777,f603]) ).

fof(f2974,plain,
    ( spl15_49
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2973]) ).

fof(f2973,plain,
    ( $false
    | spl15_49
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f2972,f529]) ).

fof(f2972,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_82
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f760,f708]) ).

fof(f2927,plain,
    ( ~ spl15_63
    | spl15_64
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2926]) ).

fof(f2926,plain,
    ( $false
    | ~ spl15_63
    | spl15_64
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2925,f795]) ).

fof(f2925,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_63
    | spl15_64 ),
    inference(forward_demodulation,[],[f610,f603]) ).

fof(f610,plain,
    ( e3 != op(e1,op(e1,e1))
    | spl15_64 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f608,plain,
    ( spl15_64
  <=> e3 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).

fof(f2913,plain,
    ( ~ spl15_94
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f2912]) ).

fof(f2912,plain,
    ( $false
    | ~ spl15_94
    | ~ spl15_105 ),
    inference(subsumption_resolution,[],[f2911,f310]) ).

fof(f2911,plain,
    ( e0 = e3
    | ~ spl15_94
    | ~ spl15_105 ),
    inference(backward_demodulation,[],[f772,f846]) ).

fof(f846,plain,
    ( e0 = op(e3,op(e3,e3))
    | ~ spl15_105 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2901,plain,
    ( ~ spl15_82
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f2900]) ).

fof(f2900,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f2899,f309]) ).

fof(f2899,plain,
    ( e1 = e2
    | ~ spl15_82
    | ~ spl15_83 ),
    inference(backward_demodulation,[],[f712,f708]) ).

fof(f2898,plain,
    ( ~ spl15_80
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f2896,f884,f696]) ).

fof(f2896,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_111 ),
    inference(backward_demodulation,[],[f231,f886]) ).

fof(f886,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_111 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f2897,plain,
    ( spl15_80
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f2895,f895,f884,f696]) ).

fof(f2895,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(backward_demodulation,[],[f897,f886]) ).

fof(f2894,plain,
    ( ~ spl15_80
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f2893,f410,f696]) ).

fof(f2893,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f261,f412]) ).

fof(f2892,plain,
    ( ~ spl15_13
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f2891,f629,f365]) ).

fof(f2891,plain,
    ( op(e0,e0) != e1
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f244,f631]) ).

fof(f2886,plain,
    ( spl15_82
    | ~ spl15_98
    | ~ spl15_118 ),
    inference(avatar_split_clause,[],[f2885,f931,f793,f706]) ).

fof(f2885,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_98
    | ~ spl15_118 ),
    inference(forward_demodulation,[],[f933,f795]) ).

fof(f2841,plain,
    ( ~ spl15_89
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f2840]) ).

fof(f2840,plain,
    ( $false
    | ~ spl15_89
    | ~ spl15_107 ),
    inference(subsumption_resolution,[],[f2839,f306]) ).

fof(f2839,plain,
    ( e0 = e1
    | ~ spl15_89
    | ~ spl15_107 ),
    inference(forward_demodulation,[],[f2838,f747]) ).

fof(f2838,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_89
    | ~ spl15_107 ),
    inference(forward_demodulation,[],[f866,f747]) ).

fof(f866,plain,
    ( e1 = op(e1,op(e1,e0))
    | ~ spl15_107 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f2826,plain,
    ( ~ spl15_75
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f2375,f347,f664]) ).

fof(f2375,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f233,f349]) ).

fof(f2825,plain,
    ( ~ spl15_35
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f2824]) ).

fof(f2824,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f2823,f310]) ).

fof(f2823,plain,
    ( e0 = e3
    | ~ spl15_35
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f2667,f462]) ).

fof(f2667,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_42
    | ~ spl15_113 ),
    inference(backward_demodulation,[],[f897,f498]) ).

fof(f2822,plain,
    ( ~ spl15_68
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f2821,f527,f629]) ).

fof(f2821,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_49 ),
    inference(forward_demodulation,[],[f263,f528]) ).

fof(f528,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_49 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2806,plain,
    ( ~ spl15_70
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f2653,f387,f639]) ).

fof(f2653,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f260,f388]) ).

fof(f2789,plain,
    ( ~ spl15_51
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f2788,f669,f537]) ).

fof(f2788,plain,
    ( op(e0,e0) != e3
    | ~ spl15_76 ),
    inference(backward_demodulation,[],[f244,f671]) ).

fof(f2784,plain,
    ( spl15_37
    | ~ spl15_46
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f2783,plain,
    ( $false
    | spl15_37
    | ~ spl15_46
    | ~ spl15_92 ),
    inference(subsumption_resolution,[],[f2782,f473]) ).

fof(f2782,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_46
    | ~ spl15_92 ),
    inference(forward_demodulation,[],[f764,f515]) ).

fof(f2780,plain,
    ( spl15_38
    | ~ spl15_40
    | ~ spl15_48
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | spl15_38
    | ~ spl15_40
    | ~ spl15_48
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f2778,f524]) ).

fof(f2778,plain,
    ( e0 != op(e2,e1)
    | spl15_38
    | ~ spl15_40
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f2777,f712]) ).

fof(f2777,plain,
    ( e0 != op(op(e1,e3),e1)
    | spl15_38
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f479,f486]) ).

fof(f2757,plain,
    ( ~ spl15_63
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f2728,f496,f601]) ).

fof(f2728,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_42 ),
    inference(forward_demodulation,[],[f254,f498]) ).

fof(f2756,plain,
    ( spl15_39
    | ~ spl15_40
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2755,plain,
    ( $false
    | spl15_39
    | ~ spl15_40
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f2754,f712]) ).

fof(f2754,plain,
    ( e2 != op(e1,e3)
    | spl15_39
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f483,f486]) ).

fof(f483,plain,
    ( e2 != op(e1,op(e1,e1))
    | spl15_39 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl15_39
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f2742,plain,
    ( ~ spl15_60
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f2680,f496,f587]) ).

fof(f2680,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_42 ),
    inference(forward_demodulation,[],[f234,f498]) ).

fof(f2738,plain,
    ( ~ spl15_49
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl15_49
    | spl15_114 ),
    inference(subsumption_resolution,[],[f2736,f528]) ).

fof(f2736,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_49
    | spl15_114 ),
    inference(forward_demodulation,[],[f900,f528]) ).

fof(f2711,plain,
    ( ~ spl15_25
    | ~ spl15_42
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f2710]) ).

fof(f2710,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_42
    | ~ spl15_94 ),
    inference(subsumption_resolution,[],[f2709,f308]) ).

fof(f2709,plain,
    ( e2 = e3
    | ~ spl15_25
    | ~ spl15_42
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f2551,f498]) ).

fof(f2551,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_25
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f772,f420]) ).

fof(f2697,plain,
    ( ~ spl15_20
    | ~ spl15_49 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_49 ),
    inference(subsumption_resolution,[],[f2570,f528]) ).

fof(f2570,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_20 ),
    inference(forward_demodulation,[],[f252,f398]) ).

fof(f2687,plain,
    ( ~ spl15_47
    | ~ spl15_25
    | ~ spl15_42
    | spl15_110 ),
    inference(avatar_split_clause,[],[f2686,f879,f496,f419,f518]) ).

fof(f2686,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_25
    | ~ spl15_42
    | spl15_110 ),
    inference(forward_demodulation,[],[f2685,f498]) ).

fof(f2685,plain,
    ( e0 != op(op(e3,e1),e3)
    | ~ spl15_25
    | spl15_110 ),
    inference(forward_demodulation,[],[f881,f420]) ).

fof(f2679,plain,
    ( ~ spl15_40
    | ~ spl15_49 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_49 ),
    inference(subsumption_resolution,[],[f2676,f307]) ).

fof(f2676,plain,
    ( e1 = e3
    | ~ spl15_40
    | ~ spl15_49 ),
    inference(backward_demodulation,[],[f486,f528]) ).

fof(f2675,plain,
    ( ~ spl15_18
    | ~ spl15_48
    | ~ spl15_55
    | spl15_67 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_48
    | ~ spl15_55
    | spl15_67 ),
    inference(subsumption_resolution,[],[f2672,f626]) ).

fof(f626,plain,
    ( e1 != op(e0,e2)
    | spl15_67 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2672,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_18
    | ~ spl15_48
    | ~ spl15_55 ),
    inference(backward_demodulation,[],[f2556,f524]) ).

fof(f2556,plain,
    ( e1 = op(op(e2,e1),e2)
    | ~ spl15_18
    | ~ spl15_55 ),
    inference(forward_demodulation,[],[f562,f388]) ).

fof(f562,plain,
    ( e1 = op(op(e2,op(e2,e2)),e2)
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2663,plain,
    ( ~ spl15_46
    | ~ spl15_66 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_66 ),
    inference(subsumption_resolution,[],[f2661,f306]) ).

fof(f2661,plain,
    ( e0 = e1
    | ~ spl15_46
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f623,f515]) ).

fof(f623,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_66 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f2648,plain,
    ( ~ spl15_23
    | ~ spl15_47 ),
    inference(avatar_contradiction_clause,[],[f2647]) ).

fof(f2647,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_47 ),
    inference(subsumption_resolution,[],[f2645,f310]) ).

fof(f2645,plain,
    ( e0 = e3
    | ~ spl15_23
    | ~ spl15_47 ),
    inference(backward_demodulation,[],[f412,f520]) ).

fof(f2623,plain,
    ( ~ spl15_40
    | spl15_82
    | ~ spl15_114 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2622,plain,
    ( $false
    | ~ spl15_40
    | spl15_82
    | ~ spl15_114 ),
    inference(subsumption_resolution,[],[f2621,f707]) ).

fof(f707,plain,
    ( e1 != op(e1,e3)
    | spl15_82 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f2621,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_40
    | ~ spl15_114 ),
    inference(backward_demodulation,[],[f901,f486]) ).

fof(f2606,plain,
    ( ~ spl15_101
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f2605,f410,f810]) ).

fof(f2605,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f266,f412]) ).

fof(f2585,plain,
    ( ~ spl15_72
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f2584,f330,f649]) ).

fof(f2584,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f263,f332]) ).

fof(f2582,plain,
    ( ~ spl15_97
    | ~ spl15_111 ),
    inference(avatar_contradiction_clause,[],[f2581]) ).

fof(f2581,plain,
    ( $false
    | ~ spl15_97
    | ~ spl15_111 ),
    inference(subsumption_resolution,[],[f2580,f886]) ).

fof(f2580,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f230,f789]) ).

fof(f2577,plain,
    ( ~ spl15_40
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f2576,f884,f485]) ).

fof(f2576,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_111 ),
    inference(forward_demodulation,[],[f254,f886]) ).

fof(f2565,plain,
    ( ~ spl15_88
    | ~ spl15_111 ),
    inference(avatar_split_clause,[],[f2564,f884,f735]) ).

fof(f2564,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_111 ),
    inference(forward_demodulation,[],[f259,f886]) ).

fof(f2555,plain,
    ( ~ spl15_25
    | ~ spl15_43 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2554,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_43 ),
    inference(subsumption_resolution,[],[f2553,f309]) ).

fof(f2553,plain,
    ( e1 = e2
    | ~ spl15_25
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f502,f420]) ).

fof(f2550,plain,
    ( spl15_12
    | ~ spl15_18
    | ~ spl15_54
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | spl15_12
    | ~ spl15_18
    | ~ spl15_54
    | ~ spl15_62 ),
    inference(subsumption_resolution,[],[f2548,f362]) ).

fof(f362,plain,
    ( e0 != op(e2,e2)
    | spl15_12 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f2548,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_18
    | ~ spl15_54
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f2547,f599]) ).

fof(f2547,plain,
    ( e0 = op(op(e2,e1),e2)
    | ~ spl15_18
    | ~ spl15_54 ),
    inference(forward_demodulation,[],[f552,f388]) ).

fof(f552,plain,
    ( e0 = op(op(e2,op(e2,e2)),e2)
    | ~ spl15_54 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f2540,plain,
    ( ~ spl15_17
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f2539,f347,f382]) ).

fof(f2539,plain,
    ( op(e0,e0) != e2
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f255,f349]) ).

fof(f255,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2526,plain,
    ( ~ spl15_69
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f2525,f387,f635]) ).

fof(f2525,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_18 ),
    inference(backward_demodulation,[],[f243,f388]) ).

fof(f2522,plain,
    ( ~ spl15_42
    | ~ spl15_25
    | spl15_78 ),
    inference(avatar_split_clause,[],[f2521,f680,f419,f496]) ).

fof(f680,plain,
    ( spl15_78
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).

fof(f2521,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_25
    | spl15_78 ),
    inference(forward_demodulation,[],[f682,f420]) ).

fof(f682,plain,
    ( e2 != op(e3,op(e3,e3))
    | spl15_78 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f2520,plain,
    ( ~ spl15_63
    | spl15_104
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f2519,f899,f837,f601]) ).

fof(f2519,plain,
    ( e2 != op(e1,e1)
    | spl15_104
    | ~ spl15_114 ),
    inference(backward_demodulation,[],[f839,f901]) ).

fof(f839,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | spl15_104 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f2515,plain,
    ( ~ spl15_5
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f2514]) ).

fof(f2514,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_68 ),
    inference(subsumption_resolution,[],[f2513,f306]) ).

fof(f2513,plain,
    ( e0 = e1
    | ~ spl15_5
    | ~ spl15_68 ),
    inference(backward_demodulation,[],[f631,f332]) ).

fof(f2494,plain,
    ( ~ spl15_97
    | ~ spl15_42
    | spl15_113 ),
    inference(avatar_split_clause,[],[f2493,f895,f496,f787]) ).

fof(f2493,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_42
    | spl15_113 ),
    inference(forward_demodulation,[],[f896,f498]) ).

fof(f896,plain,
    ( e3 != op(e3,op(e3,e1))
    | spl15_113 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f2435,plain,
    ( ~ spl15_62
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f2434]) ).

fof(f2434,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f2433,f308]) ).

fof(f2433,plain,
    ( e2 = e3
    | ~ spl15_62
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f616,f599]) ).

fof(f2423,plain,
    ( ~ spl15_52
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2422]) ).

fof(f2422,plain,
    ( $false
    | ~ spl15_52
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2421,f795]) ).

fof(f2421,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f250,f544]) ).

fof(f2418,plain,
    ( ~ spl15_44
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f2416,f308]) ).

fof(f2416,plain,
    ( e2 = e3
    | ~ spl15_44
    | ~ spl15_97 ),
    inference(backward_demodulation,[],[f789,f506]) ).

fof(f506,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f2405,plain,
    ( ~ spl15_20
    | ~ spl15_72
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f2404]) ).

fof(f2404,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_72
    | spl15_114 ),
    inference(subsumption_resolution,[],[f2305,f398]) ).

fof(f2305,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_72
    | spl15_114 ),
    inference(backward_demodulation,[],[f900,f650]) ).

fof(f650,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_72 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f2383,plain,
    ( ~ spl15_84
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | ~ spl15_84
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2381,f717]) ).

fof(f2381,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f256,f795]) ).

fof(f2350,plain,
    ( ~ spl15_9
    | ~ spl15_12
    | spl15_116 ),
    inference(avatar_split_clause,[],[f2319,f923,f360,f347]) ).

fof(f2319,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_12
    | spl15_116 ),
    inference(forward_demodulation,[],[f924,f361]) ).

fof(f2345,plain,
    ( ~ spl15_50
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f2344,f587,f532]) ).

fof(f2344,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f264,f589]) ).

fof(f589,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_60 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f2343,plain,
    ( spl15_88
    | ~ spl15_36
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f2321,f770,f464,f735]) ).

fof(f2321,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_36
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f772,f466]) ).

fof(f2339,plain,
    ( ~ spl15_63
    | ~ spl15_72 ),
    inference(avatar_contradiction_clause,[],[f2338]) ).

fof(f2338,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_72 ),
    inference(subsumption_resolution,[],[f2337,f305]) ).

fof(f2337,plain,
    ( e0 = e2
    | ~ spl15_63
    | ~ spl15_72 ),
    inference(forward_demodulation,[],[f603,f650]) ).

fof(f2335,plain,
    ( ~ spl15_12
    | ~ spl15_18 ),
    inference(avatar_contradiction_clause,[],[f2334]) ).

fof(f2334,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f2333,f306]) ).

fof(f2333,plain,
    ( e0 = e1
    | ~ spl15_12
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f388,f361]) ).

fof(f2330,plain,
    ( ~ spl15_36
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f2329]) ).

fof(f2329,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(subsumption_resolution,[],[f2328,f310]) ).

fof(f2328,plain,
    ( e0 = e3
    | ~ spl15_36
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f2327,f466]) ).

fof(f2327,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f937,f789]) ).

fof(f2288,plain,
    ( ~ spl15_90
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2287,f360,f751]) ).

fof(f2287,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f260,f361]) ).

fof(f2282,plain,
    ( ~ spl15_10
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2281,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(subsumption_resolution,[],[f2280,f309]) ).

fof(f2280,plain,
    ( e1 = e2
    | ~ spl15_10
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f2279,f353]) ).

fof(f2279,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_12
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f925,f361]) ).

fof(f2262,plain,
    ( ~ spl15_48
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2261,f360,f522]) ).

fof(f2261,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f248,f361]) ).

fof(f2260,plain,
    ( ~ spl15_10
    | ~ spl15_12
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2259,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_12
    | spl15_79 ),
    inference(subsumption_resolution,[],[f2258,f353]) ).

fof(f2258,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_12
    | spl15_79 ),
    inference(forward_demodulation,[],[f688,f361]) ).

fof(f688,plain,
    ( e1 != op(e2,op(e2,e2))
    | spl15_79 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl15_79
  <=> e1 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).

fof(f2257,plain,
    ( ~ spl15_40
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f2256,f731,f485]) ).

fof(f2256,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f252,f733]) ).

fof(f2255,plain,
    ( ~ spl15_98
    | ~ spl15_10
    | ~ spl15_12
    | spl15_58 ),
    inference(avatar_split_clause,[],[f2254,f578,f360,f351,f793]) ).

fof(f2254,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_10
    | ~ spl15_12
    | spl15_58 ),
    inference(forward_demodulation,[],[f2253,f353]) ).

fof(f2253,plain,
    ( e3 != op(op(e2,e0),e2)
    | ~ spl15_12
    | spl15_58 ),
    inference(backward_demodulation,[],[f580,f361]) ).

fof(f2230,plain,
    ( spl15_9
    | ~ spl15_48
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f2229,f903,f522,f347]) ).

fof(f2229,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_48
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f905,f524]) ).

fof(f2200,plain,
    ( ~ spl15_9
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f2199,f490,f347]) ).

fof(f2199,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f274,f492]) ).

fof(f2196,plain,
    ( ~ spl15_63
    | ~ spl15_64
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2195,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_64
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f2194,f310]) ).

fof(f2194,plain,
    ( e0 = e3
    | ~ spl15_63
    | ~ spl15_64
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f2126,f753]) ).

fof(f2126,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_63
    | ~ spl15_64 ),
    inference(forward_demodulation,[],[f609,f603]) ).

fof(f609,plain,
    ( e3 = op(e1,op(e1,e1))
    | ~ spl15_64 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f2180,plain,
    ( ~ spl15_103
    | ~ spl15_36
    | ~ spl15_45
    | spl15_77 ),
    inference(avatar_split_clause,[],[f2179,f676,f508,f464,f831]) ).

fof(f2179,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_36
    | ~ spl15_45
    | spl15_77 ),
    inference(forward_demodulation,[],[f2178,f510]) ).

fof(f2178,plain,
    ( e1 != op(op(e3,e0),e3)
    | ~ spl15_36
    | spl15_77 ),
    inference(forward_demodulation,[],[f678,f466]) ).

fof(f2175,plain,
    ( ~ spl15_63
    | spl15_73
    | ~ spl15_76
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | ~ spl15_63
    | spl15_73
    | ~ spl15_76
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f2169,f671]) ).

fof(f2169,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_63
    | spl15_73
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f2083,f753]) ).

fof(f2083,plain,
    ( e3 != op(op(e1,e2),e1)
    | ~ spl15_63
    | spl15_73 ),
    inference(forward_demodulation,[],[f655,f603]) ).

fof(f2159,plain,
    ( ~ spl15_2
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f2158,f787,f316]) ).

fof(f2158,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f243,f789]) ).

fof(f2154,plain,
    ( ~ spl15_35
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f2153,f464,f460]) ).

fof(f2153,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f236,f466]) ).

fof(f2149,plain,
    ( ~ spl15_66
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f2148,f625,f621]) ).

fof(f2148,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f251,f627]) ).

fof(f2145,plain,
    ( spl15_71
    | ~ spl15_23
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f2144,f766,f410,f644]) ).

fof(f2144,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_23
    | ~ spl15_93 ),
    inference(backward_demodulation,[],[f768,f412]) ).

fof(f2142,plain,
    ( ~ spl15_18
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f2140,f625,f387]) ).

fof(f2140,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_67 ),
    inference(backward_demodulation,[],[f265,f627]) ).

fof(f2134,plain,
    ( ~ spl15_17
    | ~ spl15_37 ),
    inference(avatar_contradiction_clause,[],[f2133]) ).

fof(f2133,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_37 ),
    inference(subsumption_resolution,[],[f2132,f305]) ).

fof(f2132,plain,
    ( e0 = e2
    | ~ spl15_17
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f383,f474]) ).

fof(f474,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_37 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2122,plain,
    ( ~ spl15_47
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f2121]) ).

fof(f2121,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f2120,f524]) ).

fof(f2120,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_47 ),
    inference(forward_demodulation,[],[f273,f520]) ).

fof(f2116,plain,
    ( ~ spl15_20
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f2115]) ).

fof(f2115,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_89 ),
    inference(subsumption_resolution,[],[f2114,f306]) ).

fof(f2114,plain,
    ( e0 = e1
    | ~ spl15_20
    | ~ spl15_89 ),
    inference(backward_demodulation,[],[f398,f747]) ).

fof(f2110,plain,
    ( ~ spl15_20
    | spl15_49
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | ~ spl15_20
    | spl15_49
    | ~ spl15_107 ),
    inference(subsumption_resolution,[],[f2106,f529]) ).

fof(f2106,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_20
    | ~ spl15_107 ),
    inference(backward_demodulation,[],[f866,f398]) ).

fof(f2101,plain,
    ( ~ spl15_9
    | ~ spl15_48
    | spl15_115 ),
    inference(avatar_contradiction_clause,[],[f2100]) ).

fof(f2100,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_48
    | spl15_115 ),
    inference(subsumption_resolution,[],[f2099,f349]) ).

fof(f2099,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_48
    | spl15_115 ),
    inference(forward_demodulation,[],[f904,f524]) ).

fof(f904,plain,
    ( e2 != op(e2,op(e2,e1))
    | spl15_115 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f2082,plain,
    ( spl15_46
    | ~ spl15_84
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f2081]) ).

fof(f2081,plain,
    ( $false
    | spl15_46
    | ~ spl15_84
    | ~ spl15_117 ),
    inference(subsumption_resolution,[],[f2080,f514]) ).

fof(f514,plain,
    ( e0 != op(e0,e3)
    | spl15_46 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f2080,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_84
    | ~ spl15_117 ),
    inference(forward_demodulation,[],[f929,f717]) ).

fof(f2079,plain,
    ( ~ spl15_63
    | spl15_70
    | ~ spl15_114 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | ~ spl15_63
    | spl15_70
    | ~ spl15_114 ),
    inference(subsumption_resolution,[],[f2075,f640]) ).

fof(f640,plain,
    ( e1 != op(e1,e2)
    | spl15_70 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f2075,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_63
    | ~ spl15_114 ),
    inference(backward_demodulation,[],[f901,f603]) ).

fof(f2074,plain,
    ( ~ spl15_37
    | spl15_106 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | ~ spl15_37
    | spl15_106 ),
    inference(subsumption_resolution,[],[f2072,f474]) ).

fof(f2072,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_37
    | spl15_106 ),
    inference(forward_demodulation,[],[f861,f474]) ).

fof(f861,plain,
    ( e0 != op(e0,op(e0,e0))
    | spl15_106 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f2068,plain,
    ( ~ spl15_7
    | ~ spl15_9 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_9 ),
    inference(subsumption_resolution,[],[f2066,f308]) ).

fof(f2066,plain,
    ( e2 = e3
    | ~ spl15_7
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f341,f349]) ).

fof(f2049,plain,
    ( ~ spl15_66
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | ~ spl15_66
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f1793,f623]) ).

fof(f1793,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f239,f708]) ).

fof(f2046,plain,
    ( ~ spl15_50
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f1910,f780,f532]) ).

fof(f1910,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f256,f782]) ).

fof(f2035,plain,
    ( ~ spl15_49
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f2034,f706,f527]) ).

fof(f2034,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f258,f708]) ).

fof(f2023,plain,
    ( ~ spl15_52
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | ~ spl15_52
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f2021,f307]) ).

fof(f2021,plain,
    ( e1 = e3
    | ~ spl15_52
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f544,f708]) ).

fof(f2019,plain,
    ( ~ spl15_89
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f2018,f472,f745]) ).

fof(f2018,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f275,f474]) ).

fof(f2014,plain,
    ( ~ spl15_45
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f1956,f500,f508]) ).

fof(f1956,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f245,f502]) ).

fof(f2011,plain,
    ( ~ spl15_88
    | ~ spl15_35
    | spl15_119 ),
    inference(avatar_split_clause,[],[f2010,f935,f460,f735]) ).

fof(f2010,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_35
    | spl15_119 ),
    inference(forward_demodulation,[],[f936,f462]) ).

fof(f936,plain,
    ( e3 != op(e3,op(e3,e2))
    | spl15_119 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f2007,plain,
    ( ~ spl15_20
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1813,f706,f396]) ).

fof(f1813,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f240,f708]) ).

fof(f1997,plain,
    ( spl15_3
    | ~ spl15_60
    | ~ spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | spl15_3
    | ~ spl15_60
    | ~ spl15_112 ),
    inference(subsumption_resolution,[],[f1843,f322]) ).

fof(f322,plain,
    ( e0 != op(e0,e2)
    | spl15_3 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1843,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_60
    | ~ spl15_112 ),
    inference(forward_demodulation,[],[f893,f589]) ).

fof(f1991,plain,
    ( ~ spl15_18
    | ~ spl15_35
    | spl15_54
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_35
    | spl15_54
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f1827,f462]) ).

fof(f1827,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_18
    | spl15_54
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f1824,f616]) ).

fof(f1824,plain,
    ( e0 != op(op(e2,e1),e2)
    | ~ spl15_18
    | spl15_54 ),
    inference(forward_demodulation,[],[f553,f388]) ).

fof(f1988,plain,
    ( ~ spl15_3
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f1987,f460,f321]) ).

fof(f1987,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f253,f462]) ).

fof(f1985,plain,
    ( ~ spl15_13
    | ~ spl15_37 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_37 ),
    inference(subsumption_resolution,[],[f1983,f306]) ).

fof(f1983,plain,
    ( e0 = e1
    | ~ spl15_13
    | ~ spl15_37 ),
    inference(backward_demodulation,[],[f366,f474]) ).

fof(f1982,plain,
    ( ~ spl15_35
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1981]) ).

fof(f1981,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f1979,f310]) ).

fof(f1979,plain,
    ( e0 = e3
    | ~ spl15_35
    | ~ spl15_97 ),
    inference(backward_demodulation,[],[f789,f462]) ).

fof(f1977,plain,
    ( spl15_5
    | ~ spl15_67
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | spl15_5
    | ~ spl15_67
    | ~ spl15_117 ),
    inference(subsumption_resolution,[],[f1975,f331]) ).

fof(f331,plain,
    ( e0 != op(e0,e1)
    | spl15_5 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f1975,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_67
    | ~ spl15_117 ),
    inference(forward_demodulation,[],[f929,f627]) ).

fof(f1972,plain,
    ( ~ spl15_3
    | spl15_37
    | ~ spl15_117 ),
    inference(avatar_contradiction_clause,[],[f1971]) ).

fof(f1971,plain,
    ( $false
    | ~ spl15_3
    | spl15_37
    | ~ spl15_117 ),
    inference(subsumption_resolution,[],[f1970,f473]) ).

fof(f1970,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_3
    | ~ spl15_117 ),
    inference(forward_demodulation,[],[f929,f323]) ).

fof(f1968,plain,
    ( ~ spl15_43
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(subsumption_resolution,[],[f1966,f308]) ).

fof(f1966,plain,
    ( e2 = e3
    | ~ spl15_43
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f1965,f502]) ).

fof(f1965,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_97
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f937,f789]) ).

fof(f1941,plain,
    ( ~ spl15_33
    | ~ spl15_45 ),
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_45 ),
    inference(subsumption_resolution,[],[f1938,f305]) ).

fof(f1938,plain,
    ( e0 = e2
    | ~ spl15_33
    | ~ spl15_45 ),
    inference(backward_demodulation,[],[f510,f454]) ).

fof(f1923,plain,
    ( spl15_70
    | ~ spl15_96
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | spl15_70
    | ~ spl15_96
    | ~ spl15_118 ),
    inference(subsumption_resolution,[],[f1921,f640]) ).

fof(f1921,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_96
    | ~ spl15_118 ),
    inference(forward_demodulation,[],[f933,f782]) ).

fof(f1917,plain,
    ( ~ spl15_10
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f1916,f387,f351]) ).

fof(f1916,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f274,f388]) ).

fof(f1866,plain,
    ( ~ spl15_36
    | ~ spl15_45
    | spl15_78 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_45
    | spl15_78 ),
    inference(subsumption_resolution,[],[f1526,f510]) ).

fof(f1526,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_36
    | spl15_78 ),
    inference(forward_demodulation,[],[f682,f466]) ).

fof(f1841,plain,
    ( ~ spl15_96
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1840]) ).

fof(f1840,plain,
    ( $false
    | ~ spl15_96
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1839,f308]) ).

fof(f1839,plain,
    ( e2 = e3
    | ~ spl15_96
    | ~ spl15_98 ),
    inference(backward_demodulation,[],[f795,f782]) ).

fof(f1838,plain,
    ( ~ spl15_71
    | ~ spl15_65
    | spl15_115 ),
    inference(avatar_split_clause,[],[f1837,f903,f614,f644]) ).

fof(f1837,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_65
    | spl15_115 ),
    inference(forward_demodulation,[],[f904,f616]) ).

fof(f1836,plain,
    ( ~ spl15_8
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f1835]) ).

fof(f1835,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f1834,f305]) ).

fof(f1834,plain,
    ( e0 = e2
    | ~ spl15_8
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f1833,f345]) ).

fof(f1833,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_8
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f870,f345]) ).

fof(f1821,plain,
    ( ~ spl15_62
    | ~ spl15_18
    | spl15_116 ),
    inference(avatar_split_clause,[],[f1820,f923,f387,f597]) ).

fof(f1820,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_18
    | spl15_116 ),
    inference(forward_demodulation,[],[f924,f388]) ).

fof(f1802,plain,
    ( spl15_20
    | ~ spl15_72
    | ~ spl15_114 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1801,plain,
    ( $false
    | spl15_20
    | ~ spl15_72
    | ~ spl15_114 ),
    inference(subsumption_resolution,[],[f1800,f397]) ).

fof(f1800,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_72
    | ~ spl15_114 ),
    inference(forward_demodulation,[],[f901,f650]) ).

fof(f1762,plain,
    ( spl15_70
    | ~ spl15_75
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | spl15_70
    | ~ spl15_75
    | ~ spl15_107 ),
    inference(subsumption_resolution,[],[f1697,f640]) ).

fof(f1697,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_75
    | ~ spl15_107 ),
    inference(forward_demodulation,[],[f866,f666]) ).

fof(f1760,plain,
    ( ~ spl15_60
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1759,f591,f587]) ).

fof(f1759,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f242,f593]) ).

fof(f1755,plain,
    ( ~ spl15_82
    | ~ spl15_98
    | spl15_118 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_98
    | spl15_118 ),
    inference(subsumption_resolution,[],[f1753,f708]) ).

fof(f1753,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_98
    | spl15_118 ),
    inference(forward_demodulation,[],[f932,f795]) ).

fof(f1752,plain,
    ( ~ spl15_96
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f1329,f504,f780]) ).

fof(f1329,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f232,f506]) ).

fof(f1717,plain,
    ( ~ spl15_70
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1716,f706,f639]) ).

fof(f1716,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f250,f708]) ).

fof(f1701,plain,
    ( ~ spl15_3
    | ~ spl15_60
    | spl15_112 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_60
    | spl15_112 ),
    inference(subsumption_resolution,[],[f1699,f323]) ).

fof(f1699,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_60
    | spl15_112 ),
    inference(forward_demodulation,[],[f892,f589]) ).

fof(f1696,plain,
    ( ~ spl15_102
    | ~ spl15_115 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl15_102
    | ~ spl15_115 ),
    inference(subsumption_resolution,[],[f1694,f309]) ).

fof(f1694,plain,
    ( e1 = e2
    | ~ spl15_102
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f1693,f821]) ).

fof(f1693,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_102
    | ~ spl15_115 ),
    inference(forward_demodulation,[],[f905,f821]) ).

fof(f1678,plain,
    ( spl15_5
    | ~ spl15_66
    | ~ spl15_92 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | spl15_5
    | ~ spl15_66
    | ~ spl15_92 ),
    inference(subsumption_resolution,[],[f1676,f331]) ).

fof(f1676,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_66
    | ~ spl15_92 ),
    inference(forward_demodulation,[],[f764,f623]) ).

fof(f1613,plain,
    ( ~ spl15_36
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f1611,f310]) ).

fof(f1611,plain,
    ( e0 = e3
    | ~ spl15_36
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f1610,f466]) ).

fof(f1610,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_111
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f897,f886]) ).

fof(f1607,plain,
    ( spl15_82
    | ~ spl15_87
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f1606]) ).

fof(f1606,plain,
    ( $false
    | spl15_82
    | ~ spl15_87
    | ~ spl15_107 ),
    inference(subsumption_resolution,[],[f1603,f707]) ).

fof(f1603,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_87
    | ~ spl15_107 ),
    inference(backward_demodulation,[],[f866,f733]) ).

fof(f1602,plain,
    ( ~ spl15_25
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f1600,f306]) ).

fof(f1600,plain,
    ( e0 = e1
    | ~ spl15_25
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f420,f466]) ).

fof(f1597,plain,
    ( spl15_46
    | ~ spl15_92
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | spl15_46
    | ~ spl15_92
    | ~ spl15_101 ),
    inference(subsumption_resolution,[],[f1595,f514]) ).

fof(f1595,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_92
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f764,f812]) ).

fof(f1587,plain,
    ( ~ spl15_60
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_76 ),
    inference(subsumption_resolution,[],[f1585,f308]) ).

fof(f1585,plain,
    ( e2 = e3
    | ~ spl15_60
    | ~ spl15_76 ),
    inference(backward_demodulation,[],[f671,f589]) ).

fof(f1581,plain,
    ( ~ spl15_8
    | ~ spl15_9 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_9 ),
    inference(subsumption_resolution,[],[f1579,f305]) ).

fof(f1579,plain,
    ( e0 = e2
    | ~ spl15_8
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f349,f345]) ).

fof(f1555,plain,
    ( ~ spl15_71
    | ~ spl15_2
    | spl15_116 ),
    inference(avatar_split_clause,[],[f1515,f923,f316,f644]) ).

fof(f1515,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_2
    | spl15_116 ),
    inference(forward_demodulation,[],[f924,f317]) ).

fof(f1538,plain,
    ( ~ spl15_44
    | ~ spl15_119 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_119 ),
    inference(subsumption_resolution,[],[f1536,f308]) ).

fof(f1536,plain,
    ( e2 = e3
    | ~ spl15_44
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f1535,f506]) ).

fof(f1535,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_44
    | ~ spl15_119 ),
    inference(forward_demodulation,[],[f937,f506]) ).

fof(f1507,plain,
    ( spl15_39
    | ~ spl15_72
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1506]) ).

fof(f1506,plain,
    ( $false
    | spl15_39
    | ~ spl15_72
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1505,f666]) ).

fof(f1505,plain,
    ( e2 != op(e1,e0)
    | spl15_39
    | ~ spl15_72 ),
    inference(forward_demodulation,[],[f483,f650]) ).

fof(f1499,plain,
    ( ~ spl15_74
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f1497,f307]) ).

fof(f1497,plain,
    ( e1 = e3
    | ~ spl15_74
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f1496,f660]) ).

fof(f1496,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_74
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f897,f660]) ).

fof(f1492,plain,
    ( ~ spl15_45
    | ~ spl15_13
    | ~ spl15_76
    | spl15_85 ),
    inference(avatar_split_clause,[],[f1491,f720,f669,f365,f508]) ).

fof(f720,plain,
    ( spl15_85
  <=> e2 = op(op(e0,op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).

fof(f1491,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_13
    | ~ spl15_76
    | spl15_85 ),
    inference(forward_demodulation,[],[f1315,f671]) ).

fof(f1315,plain,
    ( e2 != op(op(e0,e1),e0)
    | ~ spl15_13
    | spl15_85 ),
    inference(forward_demodulation,[],[f722,f366]) ).

fof(f722,plain,
    ( e2 != op(op(e0,op(e0,e0)),e0)
    | spl15_85 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f1475,plain,
    ( ~ spl15_2
    | ~ spl15_103
    | ~ spl15_116 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_103
    | ~ spl15_116 ),
    inference(subsumption_resolution,[],[f1473,f309]) ).

fof(f1473,plain,
    ( e1 = e2
    | ~ spl15_2
    | ~ spl15_103
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f1472,f833]) ).

fof(f1472,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_2
    | ~ spl15_116 ),
    inference(forward_demodulation,[],[f925,f317]) ).

fof(f1460,plain,
    ( ~ spl15_61
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_101 ),
    inference(subsumption_resolution,[],[f1458,f308]) ).

fof(f1458,plain,
    ( e2 = e3
    | ~ spl15_61
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f812,f593]) ).

fof(f1446,plain,
    ( ~ spl15_21
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | ~ spl15_21
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f1444,f307]) ).

fof(f1444,plain,
    ( e1 = e3
    | ~ spl15_21
    | ~ spl15_88 ),
    inference(backward_demodulation,[],[f737,f402]) ).

fof(f1428,plain,
    ( ~ spl15_40
    | ~ spl15_73
    | spl15_76
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | ~ spl15_40
    | ~ spl15_73
    | spl15_76
    | ~ spl15_81 ),
    inference(subsumption_resolution,[],[f1412,f670]) ).

fof(f670,plain,
    ( e3 != op(e0,e1)
    | spl15_76 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1412,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_40
    | ~ spl15_73
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f1411,f704]) ).

fof(f1411,plain,
    ( e3 = op(op(e1,e3),e1)
    | ~ spl15_40
    | ~ spl15_73 ),
    inference(forward_demodulation,[],[f654,f486]) ).

fof(f654,plain,
    ( e3 = op(op(e1,op(e1,e1)),e1)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1387,plain,
    ( ~ spl15_62
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f1385,f309]) ).

fof(f1385,plain,
    ( e1 = e2
    | ~ spl15_62
    | ~ spl15_102 ),
    inference(backward_demodulation,[],[f599,f821]) ).

fof(f1376,plain,
    ( ~ spl15_3
    | ~ spl15_12 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_12 ),
    inference(subsumption_resolution,[],[f1374,f323]) ).

fof(f1374,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f265,f361]) ).

fof(f1371,plain,
    ( ~ spl15_25
    | ~ spl15_34
    | spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_34
    | spl15_105 ),
    inference(subsumption_resolution,[],[f1369,f458]) ).

fof(f1369,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_25
    | spl15_105 ),
    inference(forward_demodulation,[],[f847,f420]) ).

fof(f1350,plain,
    ( ~ spl15_70
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1348,f307]) ).

fof(f1348,plain,
    ( e1 = e3
    | ~ spl15_70
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f795,f641]) ).

fof(f1337,plain,
    ( ~ spl15_3
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1336]) ).

fof(f1336,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1335,f310]) ).

fof(f1335,plain,
    ( e0 = e3
    | ~ spl15_3
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f717,f323]) ).

fof(f1334,plain,
    ( ~ spl15_34
    | ~ spl15_111 ),
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1333,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_111 ),
    inference(subsumption_resolution,[],[f1332,f310]) ).

fof(f1332,plain,
    ( e0 = e3
    | ~ spl15_34
    | ~ spl15_111 ),
    inference(forward_demodulation,[],[f886,f458]) ).

fof(f1326,plain,
    ( ~ spl15_61
    | ~ spl15_25
    | ~ spl15_34
    | spl15_99 ),
    inference(avatar_split_clause,[],[f1325,f800,f456,f419,f591]) ).

fof(f1325,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_25
    | ~ spl15_34
    | spl15_99 ),
    inference(forward_demodulation,[],[f1126,f458]) ).

fof(f1126,plain,
    ( e2 != op(op(e3,e1),e3)
    | ~ spl15_25
    | spl15_99 ),
    inference(forward_demodulation,[],[f802,f420]) ).

fof(f1322,plain,
    ( ~ spl15_18
    | spl15_55
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | ~ spl15_18
    | spl15_55
    | ~ spl15_62 ),
    inference(subsumption_resolution,[],[f1318,f388]) ).

fof(f1318,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_18
    | spl15_55
    | ~ spl15_62 ),
    inference(backward_demodulation,[],[f1314,f599]) ).

fof(f1314,plain,
    ( e1 != op(op(e2,e1),e2)
    | ~ spl15_18
    | spl15_55 ),
    inference(forward_demodulation,[],[f563,f388]) ).

fof(f1312,plain,
    ( ~ spl15_34
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1310,f306]) ).

fof(f1310,plain,
    ( e0 = e1
    | ~ spl15_34
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f660,f458]) ).

fof(f1308,plain,
    ( ~ spl15_44
    | ~ spl15_45 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_45 ),
    inference(subsumption_resolution,[],[f1306,f510]) ).

fof(f1306,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f246,f506]) ).

fof(f1298,plain,
    ( ~ spl15_48
    | ~ spl15_18
    | spl15_59 ),
    inference(avatar_split_clause,[],[f1297,f582,f387,f522]) ).

fof(f582,plain,
    ( spl15_59
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).

fof(f1297,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_18
    | spl15_59 ),
    inference(forward_demodulation,[],[f584,f388]) ).

fof(f584,plain,
    ( e0 != op(e2,op(e2,e2))
    | spl15_59 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1277,plain,
    ( ~ spl15_48
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f1276,f456,f522]) ).

fof(f1276,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f249,f458]) ).

fof(f1272,plain,
    ( ~ spl15_35
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f1271,f456,f460]) ).

fof(f1271,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f230,f458]) ).

fof(f1253,plain,
    ( ~ spl15_60
    | ~ spl15_40
    | ~ spl15_81
    | spl15_104 ),
    inference(avatar_split_clause,[],[f1212,f837,f702,f485,f587]) ).

fof(f1212,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_40
    | ~ spl15_81
    | spl15_104 ),
    inference(forward_demodulation,[],[f1210,f704]) ).

fof(f1210,plain,
    ( e2 != op(op(e1,e3),e1)
    | ~ spl15_40
    | spl15_104 ),
    inference(backward_demodulation,[],[f839,f486]) ).

fof(f1249,plain,
    ( ~ spl15_33
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f1248,f456,f452]) ).

fof(f1248,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f259,f458]) ).

fof(f1242,plain,
    ( ~ spl15_47
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f1241,f343,f518]) ).

fof(f1241,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f229,f345]) ).

fof(f1224,plain,
    ( ~ spl15_60
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_68 ),
    inference(subsumption_resolution,[],[f1222,f309]) ).

fof(f1222,plain,
    ( e1 = e2
    | ~ spl15_60
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f589,f631]) ).

fof(f1217,plain,
    ( ~ spl15_5
    | spl15_38
    | ~ spl15_40
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f1216,f702,f485,f477,f330]) ).

fof(f1216,plain,
    ( e0 != op(e0,e1)
    | spl15_38
    | ~ spl15_40
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f1209,f704]) ).

fof(f1209,plain,
    ( e0 != op(op(e1,e3),e1)
    | spl15_38
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f479,f486]) ).

fof(f1207,plain,
    ( ~ spl15_20
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1205,f309]) ).

fof(f1205,plain,
    ( e1 = e2
    | ~ spl15_20
    | ~ spl15_75 ),
    inference(backward_demodulation,[],[f666,f398]) ).

fof(f1190,plain,
    ( ~ spl15_8
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1189,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f1188,f345]) ).

fof(f1188,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f247,f524]) ).

fof(f1170,plain,
    ( ~ spl15_89
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f1169,f452,f745]) ).

fof(f1169,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_33 ),
    inference(forward_demodulation,[],[f241,f454]) ).

fof(f1161,plain,
    ( ~ spl15_72
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f1160,f522,f649]) ).

fof(f1160,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f237,f524]) ).

fof(f1141,plain,
    ( ~ spl15_2
    | ~ spl15_18 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f1139,f307]) ).

fof(f1139,plain,
    ( e1 = e3
    | ~ spl15_2
    | ~ spl15_18 ),
    inference(backward_demodulation,[],[f317,f388]) ).

fof(f1133,plain,
    ( ~ spl15_37
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f1132,f321,f472]) ).

fof(f1132,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_3 ),
    inference(forward_demodulation,[],[f268,f323]) ).

fof(f1130,plain,
    ( ~ spl15_25
    | ~ spl15_80 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1129,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_80 ),
    inference(subsumption_resolution,[],[f1128,f307]) ).

fof(f1128,plain,
    ( e1 = e3
    | ~ spl15_25
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f698,f420]) ).

fof(f1119,plain,
    ( spl15_5
    | ~ spl15_68
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f1118,f891,f629,f330]) ).

fof(f1118,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_68
    | ~ spl15_112 ),
    inference(backward_demodulation,[],[f893,f631]) ).

fof(f1113,plain,
    ( ~ spl15_82
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f1112,f419,f706]) ).

fof(f1112,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_25 ),
    inference(backward_demodulation,[],[f271,f420]) ).

fof(f1103,plain,
    ( ~ spl15_44
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_69 ),
    inference(subsumption_resolution,[],[f1101,f309]) ).

fof(f1101,plain,
    ( e1 = e2
    | ~ spl15_44
    | ~ spl15_69 ),
    inference(forward_demodulation,[],[f506,f637]) ).

fof(f1100,plain,
    ( ~ spl15_37
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f1099,f343,f472]) ).

fof(f1099,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f255,f345]) ).

fof(f1098,plain,
    ( spl15_82
    | ~ spl15_52
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1097,f758,f542,f706]) ).

fof(f1097,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_52
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f760,f544]) ).

fof(f1090,plain,
    ( ~ spl15_65
    | ~ spl15_72
    | spl15_73
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_72
    | spl15_73
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1088,f616]) ).

fof(f1088,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_72
    | spl15_73
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f1087,f666]) ).

fof(f1087,plain,
    ( e3 != op(op(e1,e0),e1)
    | ~ spl15_72
    | spl15_73 ),
    inference(forward_demodulation,[],[f655,f650]) ).

fof(f1086,plain,
    ( spl15_46
    | ~ spl15_76
    | ~ spl15_112 ),
    inference(avatar_split_clause,[],[f1085,f891,f669,f513]) ).

fof(f1085,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_76
    | ~ spl15_112 ),
    inference(backward_demodulation,[],[f893,f671]) ).

fof(f1077,plain,
    ( ~ spl15_61
    | ~ spl15_51
    | spl15_56 ),
    inference(avatar_split_clause,[],[f1076,f569,f537,f591]) ).

fof(f1076,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_51
    | spl15_56 ),
    inference(forward_demodulation,[],[f571,f538]) ).

fof(f1075,plain,
    ( ~ spl15_8
    | ~ spl15_10 ),
    inference(avatar_contradiction_clause,[],[f1074]) ).

fof(f1074,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_10 ),
    inference(subsumption_resolution,[],[f1073,f306]) ).

fof(f1073,plain,
    ( e0 = e1
    | ~ spl15_8
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f353,f345]) ).

fof(f1072,plain,
    ( ~ spl15_101
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f1070,f542,f810]) ).

fof(f1070,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_52 ),
    inference(backward_demodulation,[],[f239,f544]) ).

fof(f1066,plain,
    ( ~ spl15_3
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1065,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f1064,f305]) ).

fof(f1064,plain,
    ( e0 = e2
    | ~ spl15_3
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f534,f323]) ).

fof(f1062,plain,
    ( ~ spl15_89
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f1058,f649,f745]) ).

fof(f1058,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_72 ),
    inference(backward_demodulation,[],[f252,f650]) ).

fof(f1048,plain,
    ( ~ spl15_42
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | ~ spl15_42
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1046,f309]) ).

fof(f1046,plain,
    ( e1 = e2
    | ~ spl15_42
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f498,f660]) ).

fof(f1037,plain,
    ( ~ spl15_87
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1032,f537,f731]) ).

fof(f1032,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_51 ),
    inference(backward_demodulation,[],[f275,f538]) ).

fof(f1022,plain,
    ( ~ spl15_70
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1019,f635,f639]) ).

fof(f1019,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f232,f637]) ).

fof(f1021,plain,
    ( ~ spl15_74
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1017,f635,f658]) ).

fof(f1017,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f230,f637]) ).

fof(f1003,plain,
    ( ~ spl15_103
    | ~ spl15_2
    | spl15_79 ),
    inference(avatar_split_clause,[],[f994,f686,f316,f831]) ).

fof(f994,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_2
    | spl15_79 ),
    inference(backward_demodulation,[],[f688,f317]) ).

fof(f1000,plain,
    ( ~ spl15_98
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f997,f316,f793]) ).

fof(f997,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_2 ),
    inference(backward_demodulation,[],[f260,f317]) ).

fof(f992,plain,
    ( ~ spl15_111
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f986,f614,f884]) ).

fof(f986,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f249,f616]) ).

fof(f991,plain,
    ( ~ spl15_2
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f987,f614,f316]) ).

fof(f987,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f248,f616]) ).

fof(f990,plain,
    ( ~ spl15_40
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f984,f614,f485]) ).

fof(f984,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f237,f616]) ).

fof(f989,plain,
    ( ~ spl15_23
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f985,f614,f410]) ).

fof(f985,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f273,f616]) ).

fof(f983,plain,
    ( ~ spl15_33
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f973,f464,f452]) ).

fof(f973,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_36 ),
    inference(backward_demodulation,[],[f245,f466]) ).

fof(f982,plain,
    ( ~ spl15_81
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f976,f464,f702]) ).

fof(f976,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_36 ),
    inference(backward_demodulation,[],[f271,f466]) ).

fof(f968,plain,
    ( ~ spl15_102
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f959,f351,f819]) ).

fof(f959,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f247,f353]) ).

fof(f966,plain,
    ( ~ spl15_13
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f964,f351,f365]) ).

fof(f964,plain,
    ( op(e0,e0) != e1
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f255,f353]) ).

fof(f965,plain,
    ( ~ spl15_21
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f962,f351,f400]) ).

fof(f962,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f262,f353]) ).

fof(f958,plain,
    ( ~ spl15_51
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f136,f443,f537]) ).

fof(f443,plain,
    ( spl15_31
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f136,plain,
    ( ~ sP13
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e3 != op(e2,e2)
      & op(e0,e0) != e3
      & e0 = op(e3,e0)
      & e0 = op(e0,e3)
      & e3 != op(e3,e3)
      & e3 != op(e1,e1) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ( e3 != op(e2,e2)
      & op(e0,e0) != e3
      & e0 = op(e3,e0)
      & e0 = op(e0,e3)
      & e3 != op(e3,e3)
      & e3 != op(e1,e1) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f957,plain,
    ( spl15_69
    | spl15_97
    | spl15_35
    | spl15_44 ),
    inference(avatar_split_clause,[],[f285,f504,f460,f787,f635]) ).

fof(f285,plain,
    ( e2 = op(e3,e2)
    | e0 = op(e3,e2)
    | e3 = op(e3,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f956,plain,
    ( spl15_88
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f127,f415,f735]) ).

fof(f415,plain,
    ( spl15_24
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f127,plain,
    ( ~ sP14
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e3 = op(e0,e3)
      & e0 != op(e2,e2)
      & e3 = op(e3,e0)
      & e0 != op(e3,e3) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e3 = op(e0,e3)
      & e0 != op(e2,e2)
      & e3 = op(e3,e0)
      & e0 != op(e3,e3) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f955,plain,
    ( spl15_52
    | spl15_101
    | spl15_80
    | spl15_23 ),
    inference(avatar_split_clause,[],[f110,f410,f696,f810,f542]) ).

fof(f110,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( op(e0,e0) = e2
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | e2 = op(e0,e3) )
    & ( op(e0,e0) = e2
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | e2 = op(e3,e0) )
    & ( e1 = op(e3,e2)
      | e1 = op(e3,e3)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e2 = op(e2,e1)
      | e2 = op(e3,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0)
      | e2 = op(e2,e3) )
    & ( e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e3)
      | e0 = op(e3,e0) )
    & ( e0 = op(e2,e0)
      | e0 = op(e3,e0)
      | e0 = op(e0,e0)
      | e0 = op(e1,e0) )
    & ( e3 = op(e1,e0)
      | e3 = op(e2,e0)
      | e3 = op(e3,e0)
      | op(e0,e0) = e3 )
    & ( e3 = op(e1,e1)
      | e3 = op(e1,e2)
      | e3 = op(e1,e0)
      | e3 = op(e1,e3) )
    & ( e3 = op(e1,e3)
      | e3 = op(e2,e3)
      | e3 = op(e0,e3)
      | e3 = op(e3,e3) )
    & ( e0 = op(e3,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2)
      | e0 = op(e2,e2) )
    & ( e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e0,e3)
      | e2 = op(e1,e3) )
    & ( e0 = op(e1,e1)
      | e0 = op(e0,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1) )
    & ( e2 = op(e0,e2)
      | e2 = op(e2,e2)
      | e2 = op(e3,e2)
      | e2 = op(e1,e2) )
    & ( e3 = op(e1,e2)
      | e3 = op(e3,e2)
      | e3 = op(e0,e2)
      | e3 = op(e2,e2) )
    & ( e0 = op(e1,e0)
      | e0 = op(e1,e3)
      | e0 = op(e1,e1)
      | e0 = op(e1,e2) )
    & ( e2 = op(e3,e0)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e3) )
    & ( e1 = op(e0,e2)
      | e1 = op(e2,e2)
      | e1 = op(e3,e2)
      | e1 = op(e1,e2) )
    & ( e2 = op(e1,e2)
      | e2 = op(e1,e0)
      | e2 = op(e1,e3)
      | e2 = op(e1,e1) )
    & ( e3 = op(e2,e2)
      | e3 = op(e2,e0)
      | e3 = op(e2,e3)
      | e3 = op(e2,e1) )
    & ( e0 = op(e3,e3)
      | e0 = op(e0,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3) )
    & ( e3 = op(e0,e1)
      | e3 = op(e1,e1)
      | e3 = op(e2,e1)
      | e3 = op(e3,e1) )
    & ( e1 = op(e2,e1)
      | e1 = op(e2,e0)
      | e1 = op(e2,e2)
      | e1 = op(e2,e3) )
    & ( e1 = op(e0,e3)
      | e1 = op(e2,e3)
      | e1 = op(e3,e3)
      | e1 = op(e1,e3) )
    & ( op(e0,e0) = e1
      | e1 = op(e3,e0)
      | e1 = op(e1,e0)
      | e1 = op(e2,e0) )
    & ( e0 = op(e2,e1)
      | e0 = op(e2,e0)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2) )
    & ( e1 = op(e1,e1)
      | e1 = op(e1,e2)
      | e1 = op(e1,e0)
      | e1 = op(e1,e3) )
    & ( e1 = op(e0,e1)
      | e1 = op(e1,e1)
      | e1 = op(e2,e1)
      | e1 = op(e3,e1) )
    & ( op(e0,e0) = e3
      | e3 = op(e0,e2)
      | e3 = op(e0,e3)
      | e3 = op(e0,e1) )
    & ( e3 = op(e3,e2)
      | e3 = op(e3,e0)
      | e3 = op(e3,e3)
      | e3 = op(e3,e1) )
    & ( e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0)
      | e0 = op(e0,e3) )
    & ( e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | e1 = op(e0,e3)
      | op(e0,e0) = e1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f954,plain,
    ( spl15_101
    | spl15_66
    | spl15_61
    | spl15_46 ),
    inference(avatar_split_clause,[],[f294,f513,f591,f621,f810]) ).

fof(f294,plain,
    ( e0 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f953,plain,
    ( ~ spl15_41
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f155,f427,f490]) ).

fof(f427,plain,
    ( spl15_27
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f155,plain,
    ( ~ sP10
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e2 != op(e2,e2)
      & e2 != op(e3,e3)
      & op(e0,e0) != e2
      & e2 = op(e2,e2)
      & e2 != op(e1,e1)
      & e2 = op(e2,e2) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ( e2 != op(e2,e2)
      & e2 != op(e3,e3)
      & op(e0,e0) != e2
      & e2 = op(e2,e2)
      & e2 != op(e1,e1)
      & e2 = op(e2,e2) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f951,plain,
    ( spl15_18
    | spl15_10
    | spl15_102
    | spl15_103 ),
    inference(avatar_split_clause,[],[f97,f831,f819,f351,f387]) ).

fof(f97,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f950,plain,
    ( ~ spl15_30
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f182,f485,f439]) ).

fof(f439,plain,
    ( spl15_30
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f182,plain,
    ( e3 != op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e3 != op(e3,e3)
      & e1 = op(e1,e3)
      & e3 != op(e2,e2)
      & e3 != op(e1,e1)
      & e1 = op(e3,e1)
      & op(e0,e0) != e3 )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e3 != op(e3,e3)
      & e1 = op(e1,e3)
      & e3 != op(e2,e2)
      & e3 != op(e1,e1)
      & e1 = op(e3,e1)
      & op(e0,e0) != e3 )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f949,plain,
    ( ~ spl15_37
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f187,f447,f472]) ).

fof(f447,plain,
    ( spl15_32
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f187,plain,
    ( ~ sP4
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e0 != op(e3,e3)
      & e2 = op(e0,e2)
      & e2 = op(e2,e0)
      & e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e0 != op(e2,e2) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e0 != op(e3,e3)
      & e2 = op(e0,e2)
      & e2 = op(e2,e0)
      & e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e0 != op(e2,e2) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f948,plain,
    ( ~ spl15_78
    | ~ spl15_25
    | ~ spl15_110 ),
    inference(avatar_split_clause,[],[f227,f879,f419,f680]) ).

fof(f227,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f947,plain,
    ( spl15_111
    | spl15_65
    | spl15_40
    | spl15_76 ),
    inference(avatar_split_clause,[],[f98,f669,f485,f614,f884]) ).

fof(f98,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e1,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f946,plain,
    ( ~ spl15_32
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f191,f464,f447]) ).

fof(f191,plain,
    ( e0 != op(e3,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f945,plain,
    ( spl15_102
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f159,f435,f819]) ).

fof(f435,plain,
    ( spl15_29
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f159,plain,
    ( ~ sP9
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e1 = op(e1,e2)
      & e2 != op(e3,e3)
      & e1 = op(e2,e1)
      & e2 != op(e2,e2)
      & op(e0,e0) != e2
      & e2 != op(e1,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( e1 = op(e1,e2)
      & e2 != op(e3,e3)
      & e1 = op(e2,e1)
      & e2 != op(e2,e2)
      & op(e0,e0) != e2
      & e2 != op(e1,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f944,plain,
    ( ~ spl15_11
    | spl15_37 ),
    inference(avatar_split_clause,[],[f166,f472,f356]) ).

fof(f356,plain,
    ( spl15_11
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f166,plain,
    ( e0 = op(e0,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e0 != op(e3,e3)
      & e0 = op(e0,e0)
      & e0 != op(e0,e0)
      & e0 != op(e1,e1)
      & e0 != op(e2,e2)
      & e0 = op(e0,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e0 != op(e3,e3)
      & e0 = op(e0,e0)
      & e0 != op(e0,e0)
      & e0 != op(e1,e1)
      & e0 != op(e2,e2)
      & e0 = op(e0,e0) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f943,plain,
    ( spl15_82
    | spl15_49
    | spl15_70
    | spl15_20 ),
    inference(avatar_split_clause,[],[f93,f396,f639,f527,f706]) ).

fof(f93,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e1,e2)
    | e1 = op(e1,e1)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f942,plain,
    ( ~ spl15_105
    | ~ spl15_77
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f302,f500,f676,f845]) ).

fof(f302,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e2 = op(e3,e3)
      & e1 = op(op(e3,op(e3,e3)),e3)
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f941,plain,
    ( ~ spl15_80
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f185,f439,f696]) ).

fof(f185,plain,
    ( ~ sP5
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f940,plain,
    ( ~ spl15_1
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f173,f485,f312]) ).

fof(f312,plain,
    ( spl15_1
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f173,plain,
    ( e3 != op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( e3 != op(e1,e1)
      & e2 = op(e3,e2)
      & op(e0,e0) != e3
      & e2 = op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e3,e3) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e3 != op(e1,e1)
      & e2 = op(e3,e2)
      & op(e0,e0) != e3
      & e2 = op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e3,e3) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f939,plain,
    ( ~ spl15_4
    | spl15_8 ),
    inference(avatar_split_clause,[],[f210,f343,f325]) ).

fof(f325,plain,
    ( spl15_4
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f210,plain,
    ( e0 = op(e2,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e2 != op(e3,e3)
      & op(e0,e0) != e2
      & e2 != op(e2,e2)
      & e0 = op(e0,e2)
      & e2 != op(e1,e1)
      & e0 = op(e2,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e2 != op(e3,e3)
      & op(e0,e0) != e2
      & e2 != op(e2,e2)
      & e0 = op(e0,e2)
      & e2 != op(e1,e1)
      & e0 = op(e2,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f938,plain,
    ( spl15_116
    | spl15_117
    | spl15_118
    | spl15_119 ),
    inference(avatar_split_clause,[],[f225,f935,f931,f927,f923]) ).

fof(f225,plain,
    ( e3 = op(e3,op(e3,e2))
    | e1 = op(e1,op(e1,e2))
    | e0 = op(e0,op(e0,e2))
    | e2 = op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( e0 = op(e0,op(e0,e2))
      | e3 = op(e3,op(e3,e2))
      | e2 = op(e2,op(e2,e2))
      | e1 = op(e1,op(e1,e2)) )
    & ( e1 = op(e1,op(e1,e1))
      | e3 = op(e3,op(e3,e1))
      | e0 = op(e0,op(e0,e1))
      | e2 = op(e2,op(e2,e1)) )
    & ( ( e2 = op(e2,e1)
        & e2 = op(e1,e2)
        & e1 != op(e1,e1)
        & e1 != op(e2,e2)
        & op(e0,e0) != e1
        & e1 != op(e3,e3) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e0 = op(e0,op(e0,e0))
      | e1 = op(e1,op(e1,e0))
      | e2 = op(e2,op(e2,e0))
      | e3 = op(e3,op(e3,e0)) )
    & ( e2 = op(e2,op(e2,e3))
      | e0 = op(e0,op(e0,e3))
      | e1 = op(e1,op(e1,e3))
      | e3 = op(e3,op(e3,e3)) ) ),
    inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f55,plain,
    ( ( e1 != op(e2,e2)
      & e1 = op(e1,e1)
      & e1 != op(e1,e1)
      & e1 = op(e1,e1)
      & op(e0,e0) != e1
      & e1 != op(e3,e3) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( op(e0,e0) != e1
      & e3 = op(e1,e3)
      & e1 != op(e1,e1)
      & e3 = op(e3,e1)
      & e1 != op(e3,e3)
      & e1 != op(e2,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f57,plain,
    ( ( e3 != op(e3,e3)
      & e3 != op(e1,e1)
      & e3 = op(e3,e3)
      & e3 != op(e2,e2)
      & e3 = op(e3,e3)
      & op(e0,e0) != e3 )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f60,plain,
    ( ( e0 = op(e1,e0)
      & op(e0,e0) != e1
      & e1 != op(e2,e2)
      & e1 != op(e3,e3)
      & e0 = op(e0,e1)
      & e1 != op(e1,e1) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f65,plain,
    ( ( e2 != op(e1,e1)
      & e2 != op(e2,e2)
      & op(e0,e0) != e2
      & e3 = op(e3,e2)
      & e2 != op(e3,e3)
      & e3 = op(e2,e3) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f66,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e0 != op(e2,e2)
      & e0 != op(e3,e3)
      & e1 = op(e1,e0)
      & e1 = op(e0,e1) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f5,axiom,
    ( ( e0 = op(e0,op(e0,e2))
      | e3 = op(e3,op(e3,e2))
      | e2 = op(e2,op(e2,e2))
      | e1 = op(e1,op(e1,e2)) )
    & ( e1 = op(e1,op(e1,e1))
      | e3 = op(e3,op(e3,e1))
      | e0 = op(e0,op(e0,e1))
      | e2 = op(e2,op(e2,e1)) )
    & ( ( e2 = op(e2,e1)
        & e2 = op(e1,e2)
        & e1 != op(e1,e1)
        & e1 != op(e2,e2)
        & op(e0,e0) != e1
        & e1 != op(e3,e3) )
      | ( e0 != op(e1,e1)
        & e0 != op(e0,e0)
        & e3 = op(e0,e3)
        & e0 != op(e2,e2)
        & e3 = op(e3,e0)
        & e0 != op(e3,e3) )
      | ( e3 != op(e2,e2)
        & op(e0,e0) != e3
        & e0 = op(e3,e0)
        & e0 = op(e0,e3)
        & e3 != op(e3,e3)
        & e3 != op(e1,e1) )
      | ( e0 != op(e1,e1)
        & e0 != op(e0,e0)
        & e0 != op(e2,e2)
        & e0 != op(e3,e3)
        & e1 = op(e1,e0)
        & e1 = op(e0,e1) )
      | ( e2 != op(e1,e1)
        & e2 != op(e2,e2)
        & op(e0,e0) != e2
        & e3 = op(e3,e2)
        & e2 != op(e3,e3)
        & e3 = op(e2,e3) )
      | ( e2 != op(e2,e2)
        & e2 != op(e3,e3)
        & op(e0,e0) != e2
        & e2 = op(e2,e2)
        & e2 != op(e1,e1)
        & e2 = op(e2,e2) )
      | ( e1 = op(e1,e2)
        & e2 != op(e3,e3)
        & e1 = op(e2,e1)
        & e2 != op(e2,e2)
        & op(e0,e0) != e2
        & e2 != op(e1,e1) )
      | ( e0 != op(e3,e3)
        & e0 = op(e0,e0)
        & e0 != op(e0,e0)
        & e0 != op(e1,e1)
        & e0 != op(e2,e2)
        & e0 = op(e0,e0) )
      | ( e3 != op(e1,e1)
        & e2 = op(e3,e2)
        & op(e0,e0) != e3
        & e2 = op(e2,e3)
        & e3 != op(e2,e2)
        & e3 != op(e3,e3) )
      | ( e0 = op(e1,e0)
        & op(e0,e0) != e1
        & e1 != op(e2,e2)
        & e1 != op(e3,e3)
        & e0 = op(e0,e1)
        & e1 != op(e1,e1) )
      | ( e3 != op(e3,e3)
        & e1 = op(e1,e3)
        & e3 != op(e2,e2)
        & e3 != op(e1,e1)
        & e1 = op(e3,e1)
        & op(e0,e0) != e3 )
      | ( e0 != op(e3,e3)
        & e2 = op(e0,e2)
        & e2 = op(e2,e0)
        & e0 != op(e1,e1)
        & e0 != op(e0,e0)
        & e0 != op(e2,e2) )
      | ( e3 != op(e3,e3)
        & e3 != op(e1,e1)
        & e3 = op(e3,e3)
        & e3 != op(e2,e2)
        & e3 = op(e3,e3)
        & op(e0,e0) != e3 )
      | ( op(e0,e0) != e1
        & e3 = op(e1,e3)
        & e1 != op(e1,e1)
        & e3 = op(e3,e1)
        & e1 != op(e3,e3)
        & e1 != op(e2,e2) )
      | ( e1 != op(e2,e2)
        & e1 = op(e1,e1)
        & e1 != op(e1,e1)
        & e1 = op(e1,e1)
        & op(e0,e0) != e1
        & e1 != op(e3,e3) )
      | ( e2 != op(e3,e3)
        & op(e0,e0) != e2
        & e2 != op(e2,e2)
        & e0 = op(e0,e2)
        & e2 != op(e1,e1)
        & e0 = op(e2,e0) ) )
    & ( e0 = op(e0,op(e0,e0))
      | e1 = op(e1,op(e1,e0))
      | e2 = op(e2,op(e2,e0))
      | e3 = op(e3,op(e3,e0)) )
    & ( e2 = op(e2,op(e2,e3))
      | e0 = op(e0,op(e0,e3))
      | e1 = op(e1,op(e1,e3))
      | e3 = op(e3,op(e3,e3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f921,plain,
    ( ~ spl15_31
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f137,f316,f443]) ).

fof(f137,plain,
    ( e3 != op(e2,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f920,plain,
    ( spl15_41
    | spl15_96
    | spl15_50
    | spl15_44 ),
    inference(avatar_split_clause,[],[f106,f504,f532,f780,f490]) ).

fof(f106,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f919,plain,
    ( spl15_80
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f195,f423,f696]) ).

fof(f423,plain,
    ( spl15_26
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f195,plain,
    ( ~ sP3
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e3 != op(e3,e3)
      & e3 != op(e1,e1)
      & e3 = op(e3,e3)
      & e3 != op(e2,e2)
      & e3 = op(e3,e3)
      & op(e0,e0) != e3 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f918,plain,
    ( ~ spl15_43
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f160,f435,f500]) ).

fof(f160,plain,
    ( ~ sP9
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f917,plain,
    ( ~ spl15_14
    | spl15_49 ),
    inference(avatar_split_clause,[],[f206,f527,f369]) ).

fof(f369,plain,
    ( spl15_14
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f206,plain,
    ( e1 = op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e1 != op(e2,e2)
      & e1 = op(e1,e1)
      & e1 != op(e1,e1)
      & e1 = op(e1,e1)
      & op(e0,e0) != e1
      & e1 != op(e3,e3) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f916,plain,
    ( ~ spl15_80
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f133,f443,f696]) ).

fof(f133,plain,
    ( ~ sP13
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f915,plain,
    ( spl15_26
    | spl15_28
    | spl15_27
    | spl15_19
    | spl15_31
    | spl15_29
    | spl15_24
    | spl15_1
    | spl15_30
    | spl15_4
    | spl15_14
    | ~ spl15_18
    | spl15_22
    | spl15_32
    | spl15_6
    | spl15_11 ),
    inference(avatar_split_clause,[],[f220,f356,f334,f447,f405,f387,f369,f325,f439,f312,f415,f435,f443,f391,f427,f431,f423]) ).

fof(f431,plain,
    ( spl15_28
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f391,plain,
    ( spl15_19
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f405,plain,
    ( spl15_22
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f334,plain,
    ( spl15_6
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f220,plain,
    ( sP8
    | sP6
    | sP4
    | sP11
    | e1 != op(e2,e2)
    | sP1
    | sP0
    | sP5
    | sP7
    | sP14
    | sP9
    | sP13
    | sP2
    | sP10
    | sP12
    | sP3 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f914,plain,
    ( spl15_23
    | spl15_71
    | spl15_103
    | spl15_47 ),
    inference(avatar_split_clause,[],[f292,f518,f831,f644,f410]) ).

fof(f292,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f913,plain,
    ( ~ spl15_2
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f183,f439,f316]) ).

fof(f183,plain,
    ( ~ sP5
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f912,plain,
    ( spl15_101
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f129,f415,f810]) ).

fof(f129,plain,
    ( ~ sP14
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f911,plain,
    ( spl15_88
    | spl15_33
    | spl15_21
    | spl15_45 ),
    inference(avatar_split_clause,[],[f282,f508,f400,f452,f735]) ).

fof(f282,plain,
    ( e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f910,plain,
    ( ~ spl15_6
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f178,f365,f334]) ).

fof(f178,plain,
    ( op(e0,e0) != e1
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e0 = op(e1,e0)
      & op(e0,e0) != e1
      & e1 != op(e2,e2)
      & e1 != op(e3,e3)
      & e0 = op(e0,e1)
      & e1 != op(e1,e1) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f908,plain,
    ( ~ spl15_27
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f151,f601,f427]) ).

fof(f151,plain,
    ( e2 != op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f907,plain,
    ( spl15_111
    | spl15_74
    | spl15_34
    | spl15_42 ),
    inference(avatar_split_clause,[],[f287,f496,f456,f658,f884]) ).

fof(f287,plain,
    ( e2 = op(e3,e1)
    | e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f906,plain,
    ( spl15_112
    | spl15_113
    | spl15_114
    | spl15_115 ),
    inference(avatar_split_clause,[],[f224,f903,f899,f895,f891]) ).

fof(f224,plain,
    ( e2 = op(e2,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e3 = op(e3,op(e3,e1))
    | e0 = op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f889,plain,
    ( ~ spl15_19
    | spl15_111 ),
    inference(avatar_split_clause,[],[f200,f884,f391]) ).

fof(f200,plain,
    ( e3 = op(e3,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( op(e0,e0) != e1
      & e3 = op(e1,e3)
      & e1 != op(e1,e1)
      & e3 = op(e3,e1)
      & e1 != op(e3,e3)
      & e1 != op(e2,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f888,plain,
    ( spl15_74
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f181,f439,f658]) ).

fof(f181,plain,
    ( ~ sP5
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f887,plain,
    ( spl15_111
    | spl15_80
    | spl15_88
    | spl15_97 ),
    inference(avatar_split_clause,[],[f90,f787,f735,f696,f884]) ).

fof(f90,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | e3 = op(e3,e3)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f882,plain,
    ( ~ spl15_110
    | ~ spl15_100
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f278,f500,f804,f879]) ).

fof(f278,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),e3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e2 = op(e3,e3)
      & e0 = op(op(e3,op(e3,e3)),e3)
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f877,plain,
    ( ~ spl15_63
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f211,f325,f601]) ).

fof(f211,plain,
    ( ~ sP0
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f876,plain,
    ( ~ spl15_29
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f158,f490,f435]) ).

fof(f158,plain,
    ( e2 != op(e2,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f875,plain,
    ( spl15_106
    | spl15_107
    | spl15_108
    | spl15_109 ),
    inference(avatar_split_clause,[],[f217,f872,f868,f864,f860]) ).

fof(f217,plain,
    ( e3 = op(e3,op(e3,e0))
    | e2 = op(e2,op(e2,e0))
    | e1 = op(e1,op(e1,e0))
    | e0 = op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f858,plain,
    ( spl15_61
    | spl15_43
    | spl15_83
    | spl15_71 ),
    inference(avatar_split_clause,[],[f108,f644,f710,f500,f591]) ).

fof(f108,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e3,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f857,plain,
    ( spl15_87
    | spl15_40
    | spl15_52
    | spl15_98 ),
    inference(avatar_split_clause,[],[f111,f793,f542,f485,f731]) ).

fof(f111,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f856,plain,
    ( ~ spl15_12
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f186,f447,f360]) ).

fof(f186,plain,
    ( ~ sP4
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f855,plain,
    ( spl15_46
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f134,f443,f513]) ).

fof(f134,plain,
    ( ~ sP13
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f854,plain,
    ( ~ spl15_12
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f128,f415,f360]) ).

fof(f128,plain,
    ( ~ sP14
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f853,plain,
    ( ~ spl15_104
    | ~ spl15_95
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f85,f485,f775,f837]) ).

fof(f85,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),e1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f852,plain,
    ( ~ spl15_31
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f132,f485,f443]) ).

fof(f132,plain,
    ( e3 != op(e1,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f851,plain,
    ( spl15_62
    | spl15_65
    | spl15_48
    | spl15_102 ),
    inference(avatar_split_clause,[],[f279,f819,f522,f614,f597]) ).

fof(f279,plain,
    ( e1 = op(e2,e1)
    | e0 = op(e2,e1)
    | e3 = op(e2,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f850,plain,
    ( ~ spl15_28
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f142,f472,f431]) ).

fof(f142,plain,
    ( e0 != op(e0,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e0,e0)
      & e0 != op(e2,e2)
      & e0 != op(e3,e3)
      & e1 = op(e1,e0)
      & e1 = op(e0,e1) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f849,plain,
    ( ~ spl15_1
    | spl15_71 ),
    inference(avatar_split_clause,[],[f170,f644,f312]) ).

fof(f170,plain,
    ( e2 = op(e2,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f848,plain,
    ( ~ spl15_99
    | ~ spl15_105
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f276,f419,f845,f800]) ).

fof(f276,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),e3) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(e3,op(e3,e3))
      & e2 = op(op(e3,op(e3,e3)),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f843,plain,
    ( spl15_70
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f161,f435,f639]) ).

fof(f161,plain,
    ( ~ sP9
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f842,plain,
    ( spl15_72
    | spl15_34
    | spl15_5
    | spl15_48 ),
    inference(avatar_split_clause,[],[f107,f522,f330,f456,f649]) ).

fof(f107,plain,
    ( e0 = op(e2,e1)
    | e0 = op(e0,e1)
    | e0 = op(e3,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f841,plain,
    ( ~ spl15_19
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f201,f527,f391]) ).

fof(f201,plain,
    ( e1 != op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f835,plain,
    ( ~ spl15_72
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f188,f447,f649]) ).

fof(f188,plain,
    ( ~ sP4
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f834,plain,
    ( spl15_25
    | spl15_103
    | spl15_66
    | spl15_82 ),
    inference(avatar_split_clause,[],[f96,f706,f621,f831,f419]) ).

fof(f96,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f829,plain,
    ( ~ spl15_80
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f197,f423,f696]) ).

fof(f197,plain,
    ( ~ sP3
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f828,plain,
    ( ~ spl15_72
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f131,f415,f649]) ).

fof(f131,plain,
    ( ~ sP14
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f827,plain,
    ( ~ spl15_43
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f215,f325,f500]) ).

fof(f215,plain,
    ( ~ sP0
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f826,plain,
    ( ~ spl15_26
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f196,f485,f423]) ).

fof(f196,plain,
    ( e3 != op(e1,e1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f825,plain,
    ( ~ spl15_29
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f157,f382,f435]) ).

fof(f157,plain,
    ( op(e0,e0) != e2
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f823,plain,
    ( ~ spl15_13
    | ~ spl15_16
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f299,f720,f378,f365]) ).

fof(f299,plain,
    ( e2 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),e0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,op(e0,e0)),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f822,plain,
    ( spl15_49
    | spl15_68
    | spl15_102
    | spl15_74 ),
    inference(avatar_split_clause,[],[f92,f658,f819,f629,f527]) ).

fof(f92,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e0,e1)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f817,plain,
    ( spl15_98
    | spl15_97
    | spl15_2
    | spl15_84 ),
    inference(avatar_split_clause,[],[f105,f715,f316,f787,f793]) ).

fof(f105,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e2,e2)
    | e3 = op(e3,e2)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f816,plain,
    ( ~ spl15_1
    | spl15_44 ),
    inference(avatar_split_clause,[],[f172,f504,f312]) ).

fof(f172,plain,
    ( e2 = op(e3,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f815,plain,
    ( ~ spl15_51
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f171,f312,f537]) ).

fof(f171,plain,
    ( ~ sP7
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f814,plain,
    ( spl15_36
    | spl15_47
    | spl15_81
    | spl15_46 ),
    inference(avatar_split_clause,[],[f99,f513,f702,f518,f464]) ).

fof(f99,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e1,e3)
    | e0 = op(e2,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f813,plain,
    ( spl15_51
    | spl15_101
    | spl15_84
    | spl15_76 ),
    inference(avatar_split_clause,[],[f91,f669,f715,f810,f537]) ).

fof(f91,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f808,plain,
    ( ~ spl15_30
    | spl15_82 ),
    inference(avatar_split_clause,[],[f184,f706,f439]) ).

fof(f184,plain,
    ( e1 = op(e1,e3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f807,plain,
    ( ~ spl15_36
    | ~ spl15_99
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f297,f804,f800,f464]) ).

fof(f297,plain,
    ( e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,e3)
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e0 = op(e3,e3)
      & e2 = op(op(e3,op(e3,e3)),e3)
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f798,plain,
    ( spl15_96
    | spl15_83
    | spl15_75
    | spl15_63 ),
    inference(avatar_split_clause,[],[f101,f601,f664,f710,f780]) ).

fof(f101,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f797,plain,
    ( ~ spl15_6
    | spl15_89 ),
    inference(avatar_split_clause,[],[f179,f745,f334]) ).

fof(f179,plain,
    ( e0 = op(e1,e0)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f796,plain,
    ( spl15_90
    | spl15_70
    | spl15_98
    | spl15_96 ),
    inference(avatar_split_clause,[],[f281,f780,f793,f639,f751]) ).

fof(f281,plain,
    ( e2 = op(e1,e2)
    | e3 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f791,plain,
    ( spl15_6
    | spl15_32
    | spl15_28
    | spl15_31
    | spl15_11
    | spl15_26
    | spl15_4
    | spl15_22
    | spl15_27
    | spl15_29
    | spl15_14
    | spl15_30
    | spl15_1
    | spl15_19
    | spl15_24
    | spl15_62 ),
    inference(avatar_split_clause,[],[f223,f597,f415,f391,f312,f439,f369,f435,f427,f405,f325,f423,f356,f443,f431,f447,f334]) ).

fof(f223,plain,
    ( e2 = op(e2,e1)
    | sP14
    | sP2
    | sP7
    | sP5
    | sP1
    | sP9
    | sP10
    | sP11
    | sP0
    | sP3
    | sP8
    | sP13
    | sP12
    | sP4
    | sP6 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f790,plain,
    ( spl15_97
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f146,f405,f787]) ).

fof(f146,plain,
    ( ~ sP11
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( e2 != op(e1,e1)
      & e2 != op(e2,e2)
      & op(e0,e0) != e2
      & e3 = op(e3,e2)
      & e2 != op(e3,e3)
      & e3 = op(e2,e3) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f785,plain,
    ( ~ spl15_29
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f156,f601,f435]) ).

fof(f156,plain,
    ( e2 != op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f784,plain,
    ( ~ spl15_25
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f176,f334,f419]) ).

fof(f176,plain,
    ( ~ sP6
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f783,plain,
    ( spl15_26
    | spl15_24
    | spl15_31
    | spl15_27
    | spl15_96
    | spl15_22
    | spl15_11
    | spl15_32
    | spl15_6
    | spl15_1
    | spl15_14
    | spl15_19
    | spl15_4
    | spl15_29
    | spl15_30
    | spl15_28 ),
    inference(avatar_split_clause,[],[f222,f431,f439,f435,f325,f391,f369,f312,f334,f447,f356,f405,f780,f427,f443,f415,f423]) ).

fof(f222,plain,
    ( sP12
    | sP5
    | sP9
    | sP0
    | sP2
    | sP1
    | sP7
    | sP6
    | sP4
    | sP8
    | sP11
    | e2 = op(e1,e2)
    | sP10
    | sP13
    | sP14
    | sP3 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f778,plain,
    ( ~ spl15_95
    | ~ spl15_73
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f304,f601,f653,f775]) ).

fof(f304,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f773,plain,
    ( spl15_91
    | spl15_92
    | spl15_93
    | spl15_94 ),
    inference(avatar_split_clause,[],[f216,f770,f766,f762,f758]) ).

fof(f216,plain,
    ( e3 = op(e3,op(e3,e3))
    | e2 = op(e2,op(e2,e3))
    | e0 = op(e0,op(e0,e3))
    | e1 = op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f756,plain,
    ( spl15_35
    | spl15_12
    | spl15_90
    | spl15_3 ),
    inference(avatar_split_clause,[],[f109,f321,f751,f360,f460]) ).

fof(f109,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f755,plain,
    ( spl15_33
    | spl15_8
    | spl15_37
    | spl15_89 ),
    inference(avatar_split_clause,[],[f113,f745,f472,f343,f452]) ).

fof(f113,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e0,e0)
    | e0 = op(e2,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f754,plain,
    ( spl15_89
    | spl15_72
    | spl15_81
    | spl15_90 ),
    inference(avatar_split_clause,[],[f104,f751,f702,f649,f745]) ).

fof(f104,plain,
    ( e0 = op(e1,e2)
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f749,plain,
    ( spl15_63
    | spl15_49
    | spl15_72
    | spl15_40 ),
    inference(avatar_split_clause,[],[f289,f485,f649,f527,f601]) ).

fof(f289,plain,
    ( e3 = op(e1,e1)
    | e0 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f748,plain,
    ( spl15_75
    | spl15_87
    | spl15_20
    | spl15_89 ),
    inference(avatar_split_clause,[],[f288,f745,f396,f731,f664]) ).

fof(f288,plain,
    ( e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e3 = op(e1,e0)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f743,plain,
    ( ~ spl15_79
    | ~ spl15_12
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f86,f578,f360,f686]) ).

fof(f86,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e1 != op(e2,op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),e2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e3 = op(op(e2,op(e2,e2)),e2)
      & e0 = op(e2,e2)
      & e1 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f742,plain,
    ( ~ spl15_41
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f213,f325,f490]) ).

fof(f213,plain,
    ( ~ sP0
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f741,plain,
    ( spl15_51
    | spl15_17
    | spl15_37
    | spl15_13 ),
    inference(avatar_split_clause,[],[f293,f365,f472,f382,f537]) ).

fof(f293,plain,
    ( op(e0,e0) = e1
    | e0 = op(e0,e0)
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f740,plain,
    ( ~ spl15_1
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f168,f696,f312]) ).

fof(f168,plain,
    ( e3 != op(e3,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f739,plain,
    ( ~ spl15_13
    | spl15_22
    | spl15_14
    | spl15_29
    | spl15_6
    | spl15_26
    | spl15_24
    | spl15_11
    | spl15_19
    | spl15_32
    | spl15_27
    | spl15_1
    | spl15_28
    | spl15_31
    | spl15_4
    | spl15_30 ),
    inference(avatar_split_clause,[],[f219,f439,f325,f443,f431,f312,f427,f447,f391,f356,f415,f423,f334,f435,f369,f405,f365]) ).

fof(f219,plain,
    ( sP5
    | sP0
    | sP13
    | sP12
    | sP7
    | sP10
    | sP4
    | sP2
    | sP8
    | sP14
    | sP3
    | sP6
    | sP9
    | sP1
    | sP11
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f738,plain,
    ( spl15_87
    | spl15_7
    | spl15_88
    | spl15_51 ),
    inference(avatar_split_clause,[],[f112,f537,f735,f339,f731]) ).

fof(f112,plain,
    ( op(e0,e0) = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f729,plain,
    ( ~ spl15_19
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f203,f365,f391]) ).

fof(f203,plain,
    ( op(e0,e0) != e1
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f728,plain,
    ( ~ spl15_43
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f145,f405,f500]) ).

fof(f145,plain,
    ( ~ sP11
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f718,plain,
    ( spl15_50
    | spl15_67
    | spl15_3
    | spl15_84 ),
    inference(avatar_split_clause,[],[f284,f715,f321,f625,f532]) ).

fof(f284,plain,
    ( e3 = op(e0,e2)
    | e0 = op(e0,e2)
    | e1 = op(e0,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f713,plain,
    ( spl15_81
    | spl15_82
    | spl15_52
    | spl15_83 ),
    inference(avatar_split_clause,[],[f283,f710,f542,f706,f702]) ).

fof(f283,plain,
    ( e2 = op(e1,e3)
    | e3 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f700,plain,
    ( ~ spl15_11
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f164,f649,f356]) ).

fof(f164,plain,
    ( e0 != op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f699,plain,
    ( spl15_36
    | spl15_25
    | spl15_80
    | spl15_43 ),
    inference(avatar_split_clause,[],[f280,f500,f696,f419,f464]) ).

fof(f280,plain,
    ( e2 = op(e3,e3)
    | e3 = op(e3,e3)
    | e1 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f694,plain,
    ( spl15_68
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f138,f431,f629]) ).

fof(f138,plain,
    ( ~ sP12
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f693,plain,
    ( ~ spl15_28
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f143,f649,f431]) ).

fof(f143,plain,
    ( e0 != op(e1,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f692,plain,
    ( ~ spl15_27
    | spl15_41 ),
    inference(avatar_split_clause,[],[f152,f490,f427]) ).

fof(f152,plain,
    ( e2 = op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f691,plain,
    ( ~ spl15_22
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f149,f601,f405]) ).

fof(f149,plain,
    ( e2 != op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f689,plain,
    ( ~ spl15_79
    | ~ spl15_54
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f298,f316,f551,f686]) ).

fof(f298,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e1 != op(e2,op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e1 = op(e2,op(e2,e2))
      & e0 = op(op(e2,op(e2,e2)),e2)
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f683,plain,
    ( ~ spl15_36
    | ~ spl15_77
    | ~ spl15_78 ),
    inference(avatar_split_clause,[],[f296,f680,f676,f464]) ).

fof(f296,plain,
    ( e2 != op(e3,op(e3,e3))
    | e1 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),e3)
      & e2 = op(e3,op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f674,plain,
    ( ~ spl15_56
    | ~ spl15_15
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f124,f537,f374,f569]) ).

fof(f124,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,op(e0,e0)),e0)
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,op(e0,e0)),e0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(e0,op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f673,plain,
    ( ~ spl15_28
    | spl15_20 ),
    inference(avatar_split_clause,[],[f139,f396,f431]) ).

fof(f139,plain,
    ( e1 = op(e1,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f672,plain,
    ( spl15_5
    | spl15_68
    | spl15_60
    | spl15_76 ),
    inference(avatar_split_clause,[],[f286,f669,f587,f629,f330]) ).

fof(f286,plain,
    ( e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f667,plain,
    ( spl15_9
    | spl15_75
    | spl15_17
    | spl15_45 ),
    inference(avatar_split_clause,[],[f118,f508,f382,f664,f347]) ).

fof(f118,plain,
    ( e2 = op(e3,e0)
    | op(e0,e0) = e2
    | e2 = op(e1,e0)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f662,plain,
    ( ~ spl15_37
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f165,f356,f472]) ).

fof(f165,plain,
    ( ~ sP8
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f661,plain,
    ( spl15_74
    | spl15_25
    | spl15_21
    | spl15_69 ),
    inference(avatar_split_clause,[],[f117,f635,f400,f419,f658]) ).

fof(f117,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | e1 = op(e3,e3)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f656,plain,
    ( ~ spl15_72
    | ~ spl15_39
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f125,f653,f481,f649]) ).

fof(f125,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e3 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f647,plain,
    ( spl15_9
    | spl15_71
    | spl15_41
    | spl15_62 ),
    inference(avatar_split_clause,[],[f115,f597,f490,f644,f347]) ).

fof(f115,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e2,e2)
    | e2 = op(e2,e3)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f642,plain,
    ( spl15_69
    | spl15_18
    | spl15_67
    | spl15_70 ),
    inference(avatar_split_clause,[],[f102,f639,f625,f387,f635]) ).

fof(f102,plain,
    ( e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | e1 = op(e2,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f632,plain,
    ( spl15_66
    | spl15_13
    | spl15_67
    | spl15_68 ),
    inference(avatar_split_clause,[],[f88,f629,f625,f365,f621]) ).

fof(f88,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e0,e2)
    | op(e0,e0) = e1
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f618,plain,
    ( ~ spl15_4
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f214,f382,f325]) ).

fof(f214,plain,
    ( op(e0,e0) != e2
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f617,plain,
    ( spl15_65
    | spl15_7
    | spl15_23
    | spl15_2 ),
    inference(avatar_split_clause,[],[f100,f316,f410,f339,f614]) ).

fof(f100,plain,
    ( e3 = op(e2,e2)
    | e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f611,plain,
    ( ~ spl15_64
    | ~ spl15_63
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f295,f477,f601,f608]) ).

fof(f295,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e3 != op(e1,op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e0 = op(op(e1,op(e1,e1)),e1)
      & e3 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f604,plain,
    ( spl15_42
    | spl15_60
    | spl15_62
    | spl15_63 ),
    inference(avatar_split_clause,[],[f116,f601,f597,f587,f496]) ).

fof(f116,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f595,plain,
    ( ~ spl15_24
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f130,f472,f415]) ).

fof(f130,plain,
    ( e0 != op(e0,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f594,plain,
    ( spl15_60
    | spl15_61
    | spl15_17
    | spl15_50 ),
    inference(avatar_split_clause,[],[f119,f532,f382,f591,f587]) ).

fof(f119,plain,
    ( e2 = op(e0,e2)
    | op(e0,e0) = e2
    | e2 = op(e0,e3)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f585,plain,
    ( ~ spl15_18
    | ~ spl15_58
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f122,f582,f578,f387]) ).

fof(f122,plain,
    ( e0 != op(e2,op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e1 = op(e2,e2)
      & e3 = op(op(e2,op(e2,e2)),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f576,plain,
    ( ~ spl15_56
    | ~ spl15_13
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f87,f573,f365,f569]) ).

fof(f87,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | op(e0,e0) != e1
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),e0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e3 = op(op(e0,op(e0,e0)),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f567,plain,
    ( ~ spl15_2
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f194,f423,f316]) ).

fof(f194,plain,
    ( ~ sP3
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f566,plain,
    ( ~ spl15_6
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f174,f527,f334]) ).

fof(f174,plain,
    ( e1 != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f564,plain,
    ( ~ spl15_53
    | ~ spl15_55
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f120,f360,f561,f547]) ).

fof(f120,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e1 = op(op(e2,op(e2,e2)),e2)
      & e3 = op(e2,op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f559,plain,
    ( ~ spl15_41
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f148,f405,f490]) ).

fof(f148,plain,
    ( ~ sP11
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f558,plain,
    ( ~ spl15_31
    | spl15_33 ),
    inference(avatar_split_clause,[],[f135,f452,f443]) ).

fof(f135,plain,
    ( e0 = op(e3,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f557,plain,
    ( ~ spl15_28
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f141,f360,f431]) ).

fof(f141,plain,
    ( e0 != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f556,plain,
    ( ~ spl15_14
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f207,f527,f369]) ).

fof(f207,plain,
    ( e1 != op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f554,plain,
    ( ~ spl15_18
    | ~ spl15_53
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f226,f551,f547,f387]) ).

fof(f226,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e3 = op(e2,op(e2,e2))
      & e1 = op(e2,e2)
      & e0 = op(op(e2,op(e2,e2)),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f545,plain,
    ( ~ spl15_19
    | spl15_52 ),
    inference(avatar_split_clause,[],[f202,f542,f391]) ).

fof(f202,plain,
    ( e3 = op(e1,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f540,plain,
    ( ~ spl15_30
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f180,f537,f439]) ).

fof(f180,plain,
    ( op(e0,e0) != e3
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f535,plain,
    ( ~ spl15_32
    | spl15_50 ),
    inference(avatar_split_clause,[],[f190,f532,f447]) ).

fof(f190,plain,
    ( e2 = op(e0,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f530,plain,
    ( spl15_6
    | spl15_30
    | ~ spl15_49
    | spl15_11
    | spl15_14
    | spl15_22
    | spl15_19
    | spl15_27
    | spl15_26
    | spl15_1
    | spl15_29
    | spl15_4
    | spl15_28
    | spl15_32
    | spl15_24
    | spl15_31 ),
    inference(avatar_split_clause,[],[f221,f443,f415,f447,f431,f325,f435,f312,f423,f427,f391,f405,f369,f356,f527,f439,f334]) ).

fof(f221,plain,
    ( sP13
    | sP14
    | sP4
    | sP12
    | sP0
    | sP9
    | sP7
    | sP3
    | sP10
    | sP2
    | sP11
    | sP1
    | sP8
    | e1 != op(e1,e1)
    | sP5
    | sP6 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f525,plain,
    ( spl15_47
    | spl15_8
    | spl15_48
    | spl15_12 ),
    inference(avatar_split_clause,[],[f94,f360,f522,f343,f518]) ).

fof(f94,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f516,plain,
    ( spl15_46
    | spl15_3
    | spl15_5
    | spl15_37 ),
    inference(avatar_split_clause,[],[f89,f472,f330,f321,f513]) ).

fof(f89,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f511,plain,
    ( spl15_42
    | spl15_43
    | spl15_44
    | spl15_45 ),
    inference(avatar_split_clause,[],[f103,f508,f504,f500,f496]) ).

fof(f103,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e3,e2)
    | e2 = op(e3,e3)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f494,plain,
    ( ~ spl15_19
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f199,f419,f391]) ).

fof(f199,plain,
    ( e1 != op(e3,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f493,plain,
    ( spl15_2
    | spl15_12
    | spl15_41
    | spl15_18 ),
    inference(avatar_split_clause,[],[f291,f387,f490,f360,f316]) ).

fof(f291,plain,
    ( e1 = op(e2,e2)
    | e2 = op(e2,e2)
    | e0 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f488,plain,
    ( ~ spl15_38
    | ~ spl15_39
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f277,f485,f481,f477]) ).

fof(f277,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(op(e1,op(e1,e1)),e1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e3 = op(e1,e1)
      & e0 = op(op(e1,op(e1,e1)),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f470,plain,
    ( ~ spl15_18
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f177,f334,f387]) ).

fof(f177,plain,
    ( ~ sP6
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f469,plain,
    ( ~ spl15_32
    | spl15_9 ),
    inference(avatar_split_clause,[],[f189,f347,f447]) ).

fof(f189,plain,
    ( e2 = op(e2,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f468,plain,
    ( ~ spl15_36
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f126,f415,f464]) ).

fof(f126,plain,
    ( ~ sP14
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f467,plain,
    ( spl15_33
    | spl15_34
    | spl15_35
    | spl15_36 ),
    inference(avatar_split_clause,[],[f114,f464,f460,f456,f452]) ).

fof(f114,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f450,plain,
    ( spl15_24
    | ~ spl15_25
    | spl15_11
    | spl15_26
    | spl15_27
    | spl15_14
    | spl15_28
    | spl15_19
    | spl15_29
    | spl15_30
    | spl15_31
    | spl15_4
    | spl15_22
    | spl15_1
    | spl15_32
    | spl15_6 ),
    inference(avatar_split_clause,[],[f218,f334,f447,f312,f405,f325,f443,f439,f435,f391,f431,f369,f427,f423,f356,f419,f415]) ).

fof(f218,plain,
    ( sP6
    | sP4
    | sP7
    | sP11
    | sP0
    | sP13
    | sP5
    | sP9
    | sP2
    | sP12
    | sP1
    | sP10
    | sP3
    | sP8
    | e1 != op(e3,e3)
    | sP14 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f413,plain,
    ( spl15_23
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f144,f405,f410]) ).

fof(f144,plain,
    ( ~ sP11
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f408,plain,
    ( ~ spl15_22
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f147,f382,f405]) ).

fof(f147,plain,
    ( op(e0,e0) != e2
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f403,plain,
    ( spl15_10
    | spl15_13
    | spl15_20
    | spl15_21 ),
    inference(avatar_split_clause,[],[f95,f400,f396,f365,f351]) ).

fof(f95,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f394,plain,
    ( ~ spl15_18
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f198,f391,f387]) ).

fof(f198,plain,
    ( ~ sP2
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f385,plain,
    ( ~ spl15_15
    | ~ spl15_16
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f121,f382,f378,f374]) ).

fof(f121,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),e0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e1 = op(op(e0,op(e0,e0)),e0)
      & e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f354,plain,
    ( spl15_7
    | spl15_8
    | spl15_9
    | spl15_10 ),
    inference(avatar_split_clause,[],[f290,f351,f347,f343,f339]) ).

fof(f290,plain,
    ( e1 = op(e2,e0)
    | e2 = op(e2,e0)
    | e0 = op(e2,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f337,plain,
    ( spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f175,f334,f330]) ).

fof(f175,plain,
    ( ~ sP6
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f328,plain,
    ( spl15_3
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f212,f325,f321]) ).

fof(f212,plain,
    ( ~ sP0
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f319,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f169,f316,f312]) ).

fof(f169,plain,
    ( e3 != op(e2,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ALG131+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 14:52:17 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (31949)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (31957)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (31946)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54  % (31956)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (31950)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (31969)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54  % (31955)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (31968)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54  % (31952)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (31954)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54  % (31961)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54  % (31951)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54  % (31954)Instruction limit reached!
% 0.21/0.54  % (31954)------------------------------
% 0.21/0.54  % (31954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (31954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (31954)Termination reason: Unknown
% 0.21/0.54  % (31954)Termination phase: shuffling
% 0.21/0.54  
% 0.21/0.54  % (31954)Memory used [KB]: 1023
% 0.21/0.54  % (31954)Time elapsed: 0.003 s
% 0.21/0.54  % (31954)Instructions burned: 2 (million)
% 0.21/0.54  % (31954)------------------------------
% 0.21/0.54  % (31954)------------------------------
% 0.21/0.55  % (31948)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.55  % (31970)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55  % (31973)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55  % (31967)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  % (31953)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (31966)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.55  % (31972)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.55  % (31958)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  % (31960)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56  % (31962)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (31959)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (31953)Instruction limit reached!
% 0.21/0.56  % (31953)------------------------------
% 0.21/0.56  % (31953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (31953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (31953)Termination reason: Unknown
% 0.21/0.56  % (31953)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (31975)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.56  % (31953)Memory used [KB]: 5628
% 0.21/0.56  % (31953)Time elapsed: 0.008 s
% 0.21/0.56  % (31953)Instructions burned: 7 (million)
% 0.21/0.56  % (31953)------------------------------
% 0.21/0.56  % (31953)------------------------------
% 0.21/0.56  % (31964)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56  % (31947)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56  % (31974)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56  % (31965)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57  % (31971)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.58  TRYING [4]
% 0.21/0.58  % (31949)Instruction limit reached!
% 0.21/0.58  % (31949)------------------------------
% 0.21/0.58  % (31949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (31963)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.59  TRYING [4]
% 1.85/0.60  % (31948)Instruction limit reached!
% 1.85/0.60  % (31948)------------------------------
% 1.85/0.60  % (31948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60  % (31948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60  % (31948)Termination reason: Unknown
% 1.85/0.60  % (31948)Termination phase: Saturation
% 1.85/0.60  
% 1.85/0.60  % (31948)Memory used [KB]: 1279
% 1.85/0.60  % (31948)Time elapsed: 0.169 s
% 1.85/0.60  % (31948)Instructions burned: 38 (million)
% 1.85/0.60  % (31948)------------------------------
% 1.85/0.60  % (31948)------------------------------
% 1.85/0.60  % (31949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60  % (31949)Termination reason: Unknown
% 1.85/0.60  % (31949)Termination phase: Saturation
% 1.85/0.60  
% 1.85/0.60  % (31949)Memory used [KB]: 6652
% 1.85/0.60  % (31949)Time elapsed: 0.162 s
% 1.85/0.60  % (31949)Instructions burned: 51 (million)
% 1.85/0.60  % (31949)------------------------------
% 1.85/0.60  % (31949)------------------------------
% 1.85/0.62  % (31952)Instruction limit reached!
% 1.85/0.62  % (31952)------------------------------
% 1.85/0.62  % (31952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (31952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (31952)Termination reason: Unknown
% 1.85/0.62  % (31952)Termination phase: Finite model building SAT solving
% 1.85/0.62  
% 1.85/0.62  % (31952)Memory used [KB]: 7803
% 1.85/0.62  % (31952)Time elapsed: 0.176 s
% 1.85/0.62  % (31952)Instructions burned: 53 (million)
% 1.85/0.62  % (31952)------------------------------
% 1.85/0.62  % (31952)------------------------------
% 1.85/0.62  % (31955)Instruction limit reached!
% 1.85/0.62  % (31955)------------------------------
% 1.85/0.62  % (31955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (31955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (31955)Termination reason: Unknown
% 1.85/0.62  % (31955)Termination phase: Saturation
% 1.85/0.62  
% 1.85/0.62  % (31955)Memory used [KB]: 1407
% 1.85/0.62  % (31955)Time elapsed: 0.200 s
% 1.85/0.62  % (31955)Instructions burned: 51 (million)
% 1.85/0.62  % (31955)------------------------------
% 1.85/0.62  % (31955)------------------------------
% 2.03/0.62  % (31956)Instruction limit reached!
% 2.03/0.62  % (31956)------------------------------
% 2.03/0.62  % (31956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62  % (31956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62  % (31956)Termination reason: Unknown
% 2.03/0.62  % (31956)Termination phase: Saturation
% 2.03/0.62  
% 2.03/0.62  % (31956)Memory used [KB]: 6908
% 2.03/0.62  % (31956)Time elapsed: 0.026 s
% 2.03/0.62  % (31956)Instructions burned: 51 (million)
% 2.03/0.62  % (31956)------------------------------
% 2.03/0.62  % (31956)------------------------------
% 2.03/0.62  TRYING [4]
% 2.03/0.63  % (31951)Instruction limit reached!
% 2.03/0.63  % (31951)------------------------------
% 2.03/0.63  % (31951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (31951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (31951)Termination reason: Unknown
% 2.03/0.63  % (31951)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (31951)Memory used [KB]: 6268
% 2.03/0.63  % (31951)Time elapsed: 0.208 s
% 2.03/0.63  % (31951)Instructions burned: 49 (million)
% 2.03/0.63  % (31951)------------------------------
% 2.03/0.63  % (31951)------------------------------
% 2.15/0.64  % (31957)Instruction limit reached!
% 2.15/0.64  % (31957)------------------------------
% 2.15/0.64  % (31957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (31957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (31957)Termination reason: Unknown
% 2.15/0.64  % (31957)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (31957)Memory used [KB]: 7419
% 2.15/0.64  % (31957)Time elapsed: 0.201 s
% 2.15/0.64  % (31957)Instructions burned: 100 (million)
% 2.15/0.64  % (31957)------------------------------
% 2.15/0.64  % (31957)------------------------------
% 2.15/0.65  % (31950)Instruction limit reached!
% 2.15/0.65  % (31950)------------------------------
% 2.15/0.65  % (31950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (31950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65  % (31950)Termination reason: Unknown
% 2.15/0.65  % (31950)Termination phase: Saturation
% 2.15/0.65  
% 2.15/0.65  % (31950)Memory used [KB]: 6396
% 2.15/0.65  % (31950)Time elapsed: 0.028 s
% 2.15/0.65  % (31950)Instructions burned: 53 (million)
% 2.15/0.65  % (31950)------------------------------
% 2.15/0.65  % (31950)------------------------------
% 2.15/0.65  % (31961)Instruction limit reached!
% 2.15/0.65  % (31961)------------------------------
% 2.15/0.65  % (31961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (31961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65  % (31961)Termination reason: Unknown
% 2.15/0.65  % (31961)Termination phase: Saturation
% 2.15/0.65  
% 2.15/0.65  % (31961)Memory used [KB]: 1535
% 2.15/0.65  % (31961)Time elapsed: 0.194 s
% 2.15/0.65  % (31961)Instructions burned: 76 (million)
% 2.15/0.65  % (31961)------------------------------
% 2.15/0.65  % (31961)------------------------------
% 2.15/0.66  % (31947)Instruction limit reached!
% 2.15/0.66  % (31947)------------------------------
% 2.15/0.66  % (31947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (31947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (31947)Termination reason: Unknown
% 2.15/0.66  % (31947)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (31947)Memory used [KB]: 6396
% 2.15/0.66  % (31947)Time elapsed: 0.043 s
% 2.15/0.66  % (31947)Instructions burned: 51 (million)
% 2.15/0.66  % (31947)------------------------------
% 2.15/0.66  % (31947)------------------------------
% 2.15/0.66  % (31963)Instruction limit reached!
% 2.15/0.66  % (31963)------------------------------
% 2.15/0.66  % (31963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (31963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (31963)Termination reason: Unknown
% 2.15/0.66  % (31963)Termination phase: Finite model building SAT solving
% 2.15/0.66  
% 2.15/0.66  % (31963)Memory used [KB]: 7803
% 2.15/0.66  % (31963)Time elapsed: 0.205 s
% 2.15/0.66  % (31963)Instructions burned: 59 (million)
% 2.15/0.66  % (31963)------------------------------
% 2.15/0.66  % (31963)------------------------------
% 2.15/0.66  % (31972)Instruction limit reached!
% 2.15/0.66  % (31972)------------------------------
% 2.15/0.66  % (31972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (31972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (31972)Termination reason: Unknown
% 2.15/0.66  % (31972)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (31972)Memory used [KB]: 6524
% 2.15/0.66  % (31972)Time elapsed: 0.034 s
% 2.15/0.66  % (31972)Instructions burned: 68 (million)
% 2.15/0.66  % (31972)------------------------------
% 2.15/0.66  % (31972)------------------------------
% 2.15/0.66  TRYING [5]
% 2.15/0.67  % (31990)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.15/0.70  % (31960)Instruction limit reached!
% 2.15/0.70  % (31960)------------------------------
% 2.15/0.70  % (31960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.70  % (31960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.70  % (31960)Termination reason: Unknown
% 2.15/0.70  % (31960)Termination phase: Saturation
% 2.15/0.70  
% 2.15/0.70  % (31960)Memory used [KB]: 6524
% 2.15/0.70  % (31960)Time elapsed: 0.035 s
% 2.15/0.70  % (31960)Instructions burned: 69 (million)
% 2.15/0.70  % (31960)------------------------------
% 2.15/0.70  % (31960)------------------------------
% 2.15/0.70  % (31991)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.59/0.71  % (32000)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.59/0.72  % (31965)Instruction limit reached!
% 2.59/0.72  % (31965)------------------------------
% 2.59/0.72  % (31965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.72  % (31965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.72  % (31965)Termination reason: Unknown
% 2.59/0.72  % (31965)Termination phase: Saturation
% 2.59/0.72  
% 2.59/0.72  % (31965)Memory used [KB]: 1407
% 2.59/0.72  % (31965)Time elapsed: 0.310 s
% 2.59/0.72  % (31965)Instructions burned: 100 (million)
% 2.59/0.72  % (31965)------------------------------
% 2.59/0.72  % (31965)------------------------------
% 2.59/0.73  % (31959)Instruction limit reached!
% 2.59/0.73  % (31959)------------------------------
% 2.59/0.73  % (31959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73  % (31959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73  % (31959)Termination reason: Unknown
% 2.59/0.73  % (31959)Termination phase: Saturation
% 2.59/0.73  
% 2.59/0.73  % (31959)Memory used [KB]: 6524
% 2.59/0.73  % (31959)Time elapsed: 0.318 s
% 2.59/0.73  % (31959)Instructions burned: 100 (million)
% 2.59/0.73  % (31959)------------------------------
% 2.59/0.73  % (31959)------------------------------
% 2.59/0.73  % (31962)Instruction limit reached!
% 2.59/0.73  % (31962)------------------------------
% 2.59/0.73  % (31962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73  % (31962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73  % (31962)Termination reason: Unknown
% 2.59/0.73  % (31962)Termination phase: Saturation
% 2.59/0.73  
% 2.59/0.73  % (31962)Memory used [KB]: 6652
% 2.59/0.73  % (31962)Time elapsed: 0.300 s
% 2.59/0.73  % (31962)Instructions burned: 99 (million)
% 2.59/0.73  % (31962)------------------------------
% 2.59/0.73  % (31962)------------------------------
% 2.59/0.73  % (31999)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.59/0.74  % (31964)Instruction limit reached!
% 2.59/0.74  % (31964)------------------------------
% 2.59/0.74  % (31964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.74  % (31964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.74  % (31964)Termination reason: Unknown
% 2.59/0.74  % (31964)Termination phase: Saturation
% 2.59/0.74  
% 2.59/0.74  % (31964)Memory used [KB]: 6652
% 2.59/0.74  % (31964)Time elapsed: 0.055 s
% 2.59/0.74  % (31964)Instructions burned: 101 (million)
% 2.59/0.74  % (31964)------------------------------
% 2.59/0.74  % (31964)------------------------------
% 2.59/0.74  % (32001)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.59/0.74  TRYING [6]
% 2.59/0.76  % (31958)Instruction limit reached!
% 2.59/0.76  % (31958)------------------------------
% 2.59/0.76  % (31958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.76  % (31958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.76  % (31958)Termination reason: Unknown
% 2.59/0.76  % (31958)Termination phase: Saturation
% 2.59/0.76  
% 2.59/0.76  % (31958)Memory used [KB]: 6524
% 2.59/0.76  % (31958)Time elapsed: 0.317 s
% 2.59/0.76  % (31958)Instructions burned: 101 (million)
% 2.59/0.76  % (31958)------------------------------
% 2.59/0.76  % (31958)------------------------------
% 2.59/0.76  % (32004)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.59/0.77  % (31967)First to succeed.
% 2.59/0.77  % (32002)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.83/0.78  % (32003)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.83/0.78  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.83/0.78  % (32006)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.83/0.79  % (32005)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.83/0.79  % (32009)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.83/0.79  % (32007)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.83/0.80  % (31973)Instruction limit reached!
% 2.83/0.80  % (31973)------------------------------
% 2.83/0.80  % (31973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.80  % (31973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.80  % (31973)Termination reason: Unknown
% 2.83/0.80  % (31973)Termination phase: Saturation
% 2.83/0.80  
% 2.83/0.80  % (31973)Memory used [KB]: 1918
% 2.83/0.80  % (31973)Time elapsed: 0.360 s
% 2.83/0.80  % (31973)Instructions burned: 177 (million)
% 2.83/0.80  % (31973)------------------------------
% 2.83/0.80  % (31973)------------------------------
% 2.83/0.81  % (32008)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.83/0.81  % (32010)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.83/0.83  TRYING [7]
% 2.83/0.84  % (32014)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.83/0.84  % (32011)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.83/0.85  % (32013)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.83/0.85  % (31969)Also succeeded, but the first one will report.
% 2.83/0.85  % (31974)Also succeeded, but the first one will report.
% 2.83/0.85  % (31967)Refutation found. Thanks to Tanya!
% 2.83/0.85  % SZS status Unsatisfiable for theBenchmark
% 2.83/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 3.01/0.86  % (31967)------------------------------
% 3.01/0.86  % (31967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.86  % (31967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.86  % (31967)Termination reason: Refutation
% 3.01/0.86  
% 3.01/0.86  % (31967)Memory used [KB]: 7419
% 3.01/0.86  % (31967)Time elapsed: 0.086 s
% 3.01/0.86  % (31967)Instructions burned: 128 (million)
% 3.01/0.86  % (31967)------------------------------
% 3.01/0.86  % (31967)------------------------------
% 3.01/0.86  % (31945)Success in time 0.49 s
%------------------------------------------------------------------------------