%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG152+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:26:05 EDT 2024

% Result   : Unsatisfiable 8.43s 1.58s
% Output   : Refutation 8.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :  185
% Syntax   : Number of formulae    : 3452 ( 109 unt;   0 def)
%            Number of atoms       : 17493 (7799 equ)
%            Maximal formula atoms :  180 (   5 avg)
%            Number of connectives : 22585 (8544   ~;13519   |; 384   &)
%                                         ( 138 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  160 ( 158 usr; 159 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30206,plain,
    $false,
    inference(avatar_sat_refutation,[],[f391,f396,f401,f406,f411,f416,f433,f438,f447,f456,f465,f474,f483,f492,f501,f510,f519,f528,f537,f546,f555,f564,f573,f578,f583,f588,f593,f598,f603,f608,f613,f619,f624,f629,f634,f640,f645,f651,f656,f661,f666,f671,f676,f681,f686,f691,f696,f701,f706,f711,f716,f721,f726,f731,f736,f741,f746,f751,f757,f762,f767,f773,f779,f784,f789,f794,f799,f804,f809,f814,f819,f824,f829,f834,f839,f844,f849,f854,f867,f880,f893,f907,f921,f934,f947,f960,f961,f969,f979,f982,f988,f992,f994,f1015,f1030,f1032,f1042,f1050,f1064,f1067,f1069,f1077,f1093,f1102,f1117,f1131,f1132,f1144,f1151,f1158,f1174,f1181,f1184,f1199,f1211,f1217,f1220,f1226,f1234,f1244,f1272,f1286,f1294,f1302,f1309,f1322,f1328,f1336,f1339,f1344,f1349,f1352,f1366,f1375,f1384,f1418,f1419,f1424,f1440,f1457,f1471,f1493,f1495,f1514,f1546,f1568,f1586,f1595,f1621,f1630,f1636,f1646,f1690,f1691,f1704,f1715,f1717,f1744,f1751,f1795,f1809,f1830,f1835,f1850,f1852,f1867,f1875,f1884,f1889,f1918,f1928,f1940,f1942,f1952,f1960,f1963,f1996,f2004,f2018,f2038,f2065,f2084,f2127,f2128,f2151,f2162,f2168,f2186,f2200,f2203,f2218,f2238,f2260,f2289,f2311,f2354,f2355,f2410,f2443,f2496,f2550,f2552,f2569,f2591,f2593,f2624,f2643,f2687,f2689,f2699,f2710,f2799,f2856,f2864,f2865,f2893,f2973,f2984,f2993,f3020,f3067,f3107,f3128,f3168,f3182,f3217,f3237,f3281,f3283,f3284,f3303,f3311,f3318,f3341,f3372,f3401,f3413,f3421,f3430,f3434,f3459,f3485,f3490,f3541,f3553,f3555,f3558,f3582,f3596,f3673,f3723,f3737,f3746,f3759,f3764,f3771,f3810,f3815,f3847,f3906,f3925,f4000,f4049,f4051,f4122,f4154,f4156,f4205,f4258,f4344,f4363,f4368,f4436,f4454,f4523,f4589,f4603,f4619,f4660,f4661,f4680,f4690,f4695,f4701,f4720,f4789,f4828,f4855,f4864,f4872,f4885,f4978,f4999,f5000,f5016,f5082,f5083,f5101,f5129,f5138,f5218,f5227,f5269,f5297,f5299,f5313,f5323,f5340,f5350,f5429,f5503,f5521,f5560,f5632,f5633,f5690,f5691,f5706,f5722,f5736,f5759,f5787,f5794,f5875,f5957,f6043,f6100,f6125,f6126,f6133,f6141,f6180,f6250,f6346,f6367,f6383,f6391,f6406,f6415,f6430,f6476,f6533,f6543,f6554,f6568,f6615,f6678,f6720,f6733,f6755,f6822,f6840,f6853,f6854,f6856,f6864,f6960,f6961,f6970,f6977,f6998,f7049,f7100,f7114,f7229,f7329,f7348,f7389,f7390,f7400,f7421,f7428,f7493,f7514,f7578,f7587,f7602,f7694,f7728,f7800,f7845,f7868,f7952,f7963,f8085,f8125,f8150,f8210,f8215,f8257,f8303,f8351,f8358,f8372,f8393,f8436,f8439,f8445,f8475,f8479,f8488,f8500,f8525,f8542,f8547,f8565,f8636,f8643,f8663,f8680,f8760,f8775,f8818,f8892,f8893,f8895,f8918,f8961,f8979,f9001,f9118,f9206,f9265,f9271,f9289,f9318,f9351,f9392,f9451,f9473,f9490,f9510,f9534,f9581,f9587,f9592,f9619,f9650,f9671,f9683,f9692,f9705,f9707,f9735,f9794,f9840,f9883,f9885,f9904,f9951,f9961,f10005,f10025,f10033,f10047,f10085,f10160,f10282,f10303,f10354,f10383,f10406,f10484,f10582,f10587,f10596,f10601,f10680,f10729,f10745,f10950,f11077,f11130,f11173,f11214,f11225,f11260,f11276,f11340,f11401,f11463,f11470,f11478,f11500,f11521,f11535,f11549,f11570,f11610,f11649,f11733,f11879,f11894,f11995,f12054,f12139,f12140,f12195,f12214,f12316,f12334,f12348,f12362,f12402,f12412,f12422,f12428,f12447,f12492,f12540,f12660,f12715,f12722,f12737,f12750,f12754,f12835,f12894,f12996,f12997,f13086,f13138,f13183,f13247,f13307,f13309,f13405,f13499,f13544,f13584,f13597,f13634,f13668,f13692,f13696,f13704,f13725,f13777,f13827,f13835,f13843,f13848,f13865,f13867,f13879,f13891,f13916,f13958,f13969,f14009,f14015,f14028,f14054,f14073,f14094,f14107,f14114,f14168,f14180,f14200,f14283,f14304,f14319,f14410,f14421,f14435,f14442,f14499,f14521,f14530,f14538,f14554,f14604,f14878,f14953,f14992,f14993,f15210,f15367,f15375,f15530,f15643,f15644,f15697,f15698,f15748,f15758,f15827,f15853,f15871,f15896,f15904,f15909,f15949,f15952,f16045,f16047,f16167,f16184,f16211,f16319,f16466,f16486,f16509,f16518,f16643,f16658,f16668,f16696,f16698,f16712,f16721,f16733,f16742,f16748,f16778,f16780,f16782,f16793,f16807,f16822,f16861,f16905,f17018,f17177,f17245,f17249,f17254,f17265,f17266,f17430,f17446,f17472,f17484,f17513,f17700,f17717,f17772,f17787,f17817,f17830,f17840,f17842,f17882,f18069,f18070,f18078,f18096,f18105,f18209,f18283,f18344,f18351,f18359,f18374,f18394,f18430,f18445,f18448,f18452,f18462,f18489,f18509,f18548,f18566,f18577,f18580,f18591,f18644,f18650,f18657,f18685,f18720,f18727,f18791,f18810,f18886,f18916,f18935,f19053,f19135,f19166,f19197,f19264,f19347,f19408,f19438,f19536,f19664,f19805,f19860,f19873,f19877,f19878,f19879,f19903,f19913,f19916,f19924,f19925,f19927,f19937,f19963,f19978,f20124,f20163,f20171,f20182,f20192,f20206,f20217,f20220,f20223,f20291,f20340,f20369,f20474,f20484,f20500,f20519,f20529,f20586,f20626,f20651,f20725,f20737,f20750,f20870,f21006,f21089,f21257,f21281,f21294,f21399,f21404,f21518,f21537,f21551,f21581,f21631,f21773,f21876,f21915,f21920,f22078,f22080,f22088,f22144,f22213,f22214,f22346,f22348,f22358,f22444,f22527,f22671,f22769,f22804,f22862,f22881,f22987,f22995,f23015,f23132,f23202,f23213,f23217,f23250,f23388,f23429,f23601,f23682,f23805,f23814,f23837,f23850,f23888,f23978,f23979,f23995,f23999,f24006,f24220,f24239,f24252,f24340,f24462,f24467,f24470,f24473,f24490,f24503,f24535,f24588,f24598,f24610,f24748,f24811,f24902,f24917,f24929,f24931,f24996,f25018,f25103,f25170,f25176,f25213,f25237,f25290,f25295,f25445,f25452,f25520,f25548,f25629,f25685,f25689,f25718,f25741,f25746,f25749,f25765,f25783,f25819,f25955,f26070,f26099,f26129,f26132,f26143,f26197,f26198,f26208,f26299,f26514,f26584,f26833,f26920,f27078,f27085,f27092,f27212,f27260,f27369,f27525,f27559,f27577,f27595,f27605,f27673,f27677,f27713,f27736,f27853,f27854,f27907,f27911,f27971,f27980,f28001,f28010,f28090,f28127,f28239,f28292,f28310,f28318,f28432,f28438,f28502,f28626,f28636,f28640,f28647,f28677,f28692,f28694,f28698,f28704,f28716,f28736,f28777,f28835,f28872,f28919,f29072,f29076,f29081,f29102,f29111,f29122,f29194,f29199,f29257,f29285,f29369,f29379,f29405,f29463,f29522,f29529,f29574,f29576,f29585,f29773,f29854,f29934,f29986,f30027,f30029,f30180,f30181,f30205]) ).

fof(f30205,plain,
    ( spl20_134
    | spl20_3
    | spl20_5
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f30096,f949,f918,f516,f408,f398,f1925]) ).

fof(f1925,plain,
    ( spl20_134
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).

fof(f398,plain,
    ( spl20_3
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f408,plain,
    ( spl20_5
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f516,plain,
    ( spl20_29
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).

fof(f918,plain,
    ( spl20_111
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).

fof(f949,plain,
    ( spl20_118
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).

fof(f30096,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f30095]) ).

fof(f30095,plain,
    ( e1 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f27789,f950]) ).

fof(f950,plain,
    ( e1 = op(e0,e3)
    | ~ spl20_118 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f27789,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f18136,f919]) ).

fof(f919,plain,
    ( e0 = op(e3,e3)
    | ~ spl20_111 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f18136,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f180,f518]) ).

fof(f518,plain,
    ( e1 = op(e1,e3)
    | ~ spl20_29 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f180,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | op(e0,e0) = e3 )
    & ( e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | op(e0,e0) = e2 )
    & ( e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f30181,plain,
    ( spl20_17
    | spl20_5
    | spl20_3
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f28272,f1012,f918,f914,f398,f408,f462]) ).

fof(f462,plain,
    ( spl20_17
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).

fof(f914,plain,
    ( spl20_110
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).

fof(f1012,plain,
    ( spl20_123
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).

fof(f28272,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f28271]) ).

fof(f28271,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7129,f919]) ).

fof(f7129,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | ~ spl20_110
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f6630,f1014]) ).

fof(f1014,plain,
    ( e0 = op(e3,e0)
    | ~ spl20_123 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f6630,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f179,f915]) ).

fof(f915,plain,
    ( e1 = op(e3,e2)
    | ~ spl20_110 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f179,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f30180,plain,
    ( ~ spl20_9
    | ~ spl20_102
    | spl20_5
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f12901,f914,f408,f877,f426]) ).

fof(f426,plain,
    ( spl20_9
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f877,plain,
    ( spl20_102
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).

fof(f12901,plain,
    ( e1 = e3
    | e2 != op(e3,e3)
    | ~ sP18
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f206,f915]) ).

fof(f206,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( ( e3 = op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 = op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 = op(e0,e2)
        | op(e0,e0) != e2 )
      & e2 = op(e2,e2) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( ( e3 = op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 = op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 = op(e0,e2)
        | op(e0,e0) != e2 )
      & e2 = op(e2,e2) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f30029,plain,
    ( spl20_25
    | spl20_138
    | spl20_4
    | spl20_2
    | ~ spl20_11
    | ~ spl20_39 ),
    inference(avatar_split_clause,[],[f15693,f561,f435,f393,f403,f6967,f498]) ).

fof(f498,plain,
    ( spl20_25
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).

fof(f6967,plain,
    ( spl20_138
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).

fof(f403,plain,
    ( spl20_4
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f393,plain,
    ( spl20_2
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f435,plain,
    ( spl20_11
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f561,plain,
    ( spl20_39
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).

fof(f15693,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f14429,f563]) ).

fof(f563,plain,
    ( e0 = op(e0,e1)
    | ~ spl20_39 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f14429,plain,
    ( e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f162,f437]) ).

fof(f437,plain,
    ( e1 = op(e1,e1)
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f162,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f30027,plain,
    ( ~ spl20_121
    | spl20_47
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f28632,f1012,f600,f1004]) ).

fof(f1004,plain,
    ( spl20_121
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).

fof(f600,plain,
    ( spl20_47
  <=> op(e1,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).

fof(f28632,plain,
    ( e0 != op(e1,e0)
    | spl20_47
    | ~ spl20_123 ),
    inference(superposition,[],[f602,f1014]) ).

fof(f602,plain,
    ( op(e1,e0) != op(e3,e0)
    | spl20_47 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f29986,plain,
    ( spl20_134
    | spl20_6
    | spl20_3
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f29918,f1027,f882,f877,f398,f413,f1925]) ).

fof(f413,plain,
    ( spl20_6
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f882,plain,
    ( spl20_103
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).

fof(f1027,plain,
    ( spl20_125
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).

fof(f29918,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f14949,f883]) ).

fof(f883,plain,
    ( e0 = op(e1,e3)
    | ~ spl20_103 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f14949,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | ~ spl20_102
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f14948]) ).

fof(f14948,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | ~ spl20_102
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f6627,f878]) ).

fof(f878,plain,
    ( e2 = op(e3,e3)
    | ~ spl20_102 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f6627,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f180,f1029]) ).

fof(f1029,plain,
    ( e2 = op(e0,e3)
    | ~ spl20_125 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f29934,plain,
    ( ~ spl20_29
    | ~ spl20_11
    | spl20_80 ),
    inference(avatar_split_clause,[],[f774,f770,f435,f516]) ).

fof(f770,plain,
    ( spl20_80
  <=> op(e1,e1) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).

fof(f774,plain,
    ( e1 != op(e1,e3)
    | ~ spl20_11
    | spl20_80 ),
    inference(forward_demodulation,[],[f772,f437]) ).

fof(f772,plain,
    ( op(e1,e1) != op(e1,e3)
    | spl20_80 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f29854,plain,
    ( spl20_1
    | ~ spl20_101
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f29838,f1012,f873,f388]) ).

fof(f388,plain,
    ( spl20_1
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f873,plain,
    ( spl20_101
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).

fof(f29838,plain,
    ( e0 = e1
    | ~ spl20_101
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f874,f1014]) ).

fof(f874,plain,
    ( e1 = op(e3,e0)
    | ~ spl20_101 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f29773,plain,
    ( spl20_97
    | spl20_2
    | spl20_1
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_95 ),
    inference(avatar_split_clause,[],[f27806,f846,f507,f498,f388,f393,f856]) ).

fof(f856,plain,
    ( spl20_97
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).

fof(f507,plain,
    ( spl20_27
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).

fof(f846,plain,
    ( spl20_95
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).

fof(f27806,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f24615,f847]) ).

fof(f847,plain,
    ( e1 = op(e2,e2)
    | ~ spl20_95 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f24615,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f1701]) ).

fof(f1701,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f1700,f509]) ).

fof(f509,plain,
    ( e2 = op(e2,e0)
    | ~ spl20_27 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1700,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f165,f500]) ).

fof(f500,plain,
    ( e2 = op(e2,e1)
    | ~ spl20_25 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f165,plain,
    ( e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29585,plain,
    ( spl20_107
    | spl20_128
    | spl20_3
    | spl20_5
    | ~ spl20_11
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f22906,f882,f435,f408,f398,f1124,f900]) ).

fof(f900,plain,
    ( spl20_107
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).

fof(f1124,plain,
    ( spl20_128
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_128])]) ).

fof(f22906,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f14460,f437]) ).

fof(f14460,plain,
    ( e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f163,f883]) ).

fof(f163,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29576,plain,
    ( spl20_134
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f29549,f1027,f882,f851,f413,f408,f398,f1925]) ).

fof(f851,plain,
    ( spl20_96
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).

fof(f29549,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f29548,f1029]) ).

fof(f29548,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f16194,f852]) ).

fof(f852,plain,
    ( e1 = op(e3,e3)
    | ~ spl20_96 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f16194,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f180,f883]) ).

fof(f29574,plain,
    ( ~ spl20_56
    | spl20_92
    | ~ spl20_96 ),
    inference(avatar_split_clause,[],[f16023,f851,f831,f648]) ).

fof(f648,plain,
    ( spl20_56
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).

fof(f831,plain,
    ( spl20_92
  <=> op(e3,e1) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).

fof(f16023,plain,
    ( e1 != op(e3,e1)
    | spl20_92
    | ~ spl20_96 ),
    inference(superposition,[],[f833,f852]) ).

fof(f833,plain,
    ( op(e3,e1) != op(e3,e3)
    | spl20_92 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f29529,plain,
    ( spl20_27
    | spl20_23
    | spl20_2
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f24074,f1167,f856,f393,f489,f507]) ).

fof(f489,plain,
    ( spl20_23
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).

fof(f1167,plain,
    ( spl20_130
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).

fof(f24074,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f24073]) ).

fof(f24073,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1387,f1169]) ).

fof(f1169,plain,
    ( e0 = op(e2,e1)
    | ~ spl20_130 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1387,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f169,f857]) ).

fof(f857,plain,
    ( e0 = op(e2,e3)
    | ~ spl20_97 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f169,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29522,plain,
    ( spl20_23
    | spl20_2
    | spl20_4
    | ~ spl20_97
    | ~ spl20_98
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f24063,f1167,f860,f856,f403,f393,f489]) ).

fof(f860,plain,
    ( spl20_98
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).

fof(f24063,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_97
    | ~ spl20_98
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f24062,f861]) ).

fof(f861,plain,
    ( e1 = op(e2,e0)
    | ~ spl20_98 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f24062,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f24061]) ).

fof(f24061,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4353,f1169]) ).

fof(f4353,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f169,f857]) ).

fof(f29463,plain,
    ( ~ spl20_26
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f29203,f570,f503]) ).

fof(f503,plain,
    ( spl20_26
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).

fof(f570,plain,
    ( spl20_41
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).

fof(f29203,plain,
    ( ~ sP8
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20221]) ).

fof(f20221,plain,
    ( e0 != e0
    | ~ sP8
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f331,f572]) ).

fof(f572,plain,
    ( e0 = op(e0,e0)
    | ~ spl20_41 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f331,plain,
    ( e0 != op(e0,e0)
    | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f253,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e2 = op(e2,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e2 = op(e2,e0) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f29405,plain,
    ( spl20_95
    | spl20_1
    | spl20_5
    | spl20_4
    | ~ spl20_27
    | ~ spl20_97
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f29313,f3550,f856,f507,f403,f408,f388,f846]) ).

fof(f3550,plain,
    ( spl20_136
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).

fof(f29313,plain,
    ( e1 = e2
    | e1 = e3
    | e0 = e1
    | e1 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_97
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f28485,f509]) ).

fof(f28485,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f1640,f3551]) ).

fof(f3551,plain,
    ( e3 = op(e2,e1)
    | ~ spl20_136 ),
    inference(avatar_component_clause,[],[f3550]) ).

fof(f1640,plain,
    ( e0 = e1
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f167,f857]) ).

fof(f167,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29379,plain,
    ( spl20_2
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f14546,f3579,f869,f393]) ).

fof(f869,plain,
    ( spl20_100
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).

fof(f3579,plain,
    ( spl20_137
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_137])]) ).

fof(f14546,plain,
    ( e0 = e2
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(superposition,[],[f870,f3581]) ).

fof(f3581,plain,
    ( e2 = op(e3,e2)
    | ~ spl20_137 ),
    inference(avatar_component_clause,[],[f3579]) ).

fof(f870,plain,
    ( e0 = op(e3,e2)
    | ~ spl20_100 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f29369,plain,
    ( ~ spl20_16
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f28136,f841,f561,f458]) ).

fof(f458,plain,
    ( spl20_16
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f841,plain,
    ( spl20_94
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).

fof(f28136,plain,
    ( ~ sP13
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f1334]) ).

fof(f1334,plain,
    ( e1 != e1
    | ~ sP13
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f1095,f842]) ).

fof(f842,plain,
    ( op(e0,e0) = e1
    | ~ spl20_94 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f1095,plain,
    ( op(e0,e0) != e1
    | ~ sP13
    | ~ spl20_39 ),
    inference(trivial_inequality_removal,[],[f1094]) ).

fof(f1094,plain,
    ( e0 != e0
    | op(e0,e0) != e1
    | ~ sP13
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f228,f563]) ).

fof(f228,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) != e1
    | ~ sP13 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e3 = op(e3,e1) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e3 = op(e3,e1) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f29285,plain,
    ( spl20_136
    | spl20_99
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f24867,f856,f507,f398,f413,f864,f3550]) ).

fof(f864,plain,
    ( spl20_99
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).

fof(f24867,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f20665,f857]) ).

fof(f20665,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f171,f509]) ).

fof(f171,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29257,plain,
    ( spl20_99
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f29217,f860,f856,f498,f408,f398,f413,f864]) ).

fof(f29217,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f29001,f861]) ).

fof(f29001,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f23901,f857]) ).

fof(f23901,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f171,f500]) ).

fof(f29199,plain,
    ( spl20_122
    | spl20_97
    | spl20_2
    | spl20_3
    | ~ spl20_25
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f26272,f864,f498,f398,f393,f856,f1008]) ).

fof(f1008,plain,
    ( spl20_122
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_122])]) ).

fof(f26272,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f19875,f865]) ).

fof(f865,plain,
    ( e3 = op(e2,e2)
    | ~ spl20_99 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f19875,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f165,f500]) ).

fof(f29194,plain,
    ( spl20_100
    | spl20_3
    | spl20_2
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f29159,f2159,f1023,f864,f393,f398,f869]) ).

fof(f1023,plain,
    ( spl20_124
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).

fof(f2159,plain,
    ( spl20_135
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).

fof(f29159,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f29158]) ).

fof(f29158,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f28372,f2161]) ).

fof(f2161,plain,
    ( e2 = op(e1,e2)
    | ~ spl20_135 ),
    inference(avatar_component_clause,[],[f2159]) ).

fof(f28372,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_99
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f16656,f1025]) ).

fof(f1025,plain,
    ( e2 = op(e0,e2)
    | ~ spl20_124 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f16656,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f166,f865]) ).

fof(f166,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29122,plain,
    ( spl20_103
    | spl20_2
    | spl20_3
    | ~ spl20_105
    | ~ spl20_107
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f29114,f2159,f900,f890,f398,f393,f882]) ).

fof(f890,plain,
    ( spl20_105
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).

fof(f29114,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e1,e3)
    | ~ spl20_105
    | ~ spl20_107
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f29113]) ).

fof(f29113,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = e3
    | e0 = op(e1,e3)
    | ~ spl20_105
    | ~ spl20_107
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f18438,f891]) ).

fof(f891,plain,
    ( e3 = op(e1,e1)
    | ~ spl20_105 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f18438,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_107
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f13973,f2161]) ).

fof(f13973,plain,
    ( e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f157,f901]) ).

fof(f901,plain,
    ( e3 = op(e1,e0)
    | ~ spl20_107 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f157,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29111,plain,
    ( spl20_107
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_41
    | ~ spl20_98
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f27600,f910,f860,f570,f398,f408,f413,f900]) ).

fof(f910,plain,
    ( spl20_109
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).

fof(f27600,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_98
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f2043,f572]) ).

fof(f2043,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_98
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1311,f861]) ).

fof(f1311,plain,
    ( e2 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f156,f911]) ).

fof(f911,plain,
    ( e2 = op(e3,e0)
    | ~ spl20_109 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f156,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29102,plain,
    ( spl20_98
    | spl20_95
    | spl20_4
    | spl20_1
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f25079,f856,f498,f388,f403,f846,f860]) ).

fof(f25079,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f19874,f857]) ).

fof(f19874,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f167,f500]) ).

fof(f29081,plain,
    ( spl20_110
    | spl20_96
    | spl20_4
    | spl20_1
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f21448,f1171,f910,f388,f403,f851,f914]) ).

fof(f1171,plain,
    ( spl20_131
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).

fof(f21448,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f20204,f1173]) ).

fof(f1173,plain,
    ( e0 = op(e3,e1)
    | ~ spl20_131 ),
    inference(avatar_component_clause,[],[f1171]) ).

fof(f20204,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f175,f911]) ).

fof(f175,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29076,plain,
    ( spl20_104
    | spl20_2
    | spl20_6
    | spl20_4
    | ~ spl20_29
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f28975,f896,f890,f516,f403,f413,f393,f886]) ).

fof(f886,plain,
    ( spl20_104
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).

fof(f896,plain,
    ( spl20_106
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).

fof(f28975,plain,
    ( e1 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f22564,f518]) ).

fof(f22564,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f22563,f891]) ).

fof(f22563,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f161,f897]) ).

fof(f897,plain,
    ( e0 = op(e1,e2)
    | ~ spl20_106 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f161,plain,
    ( e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f29072,plain,
    ( spl20_112
    | spl20_3
    | spl20_6
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f28985,f910,f886,f570,f413,f398,f923]) ).

fof(f923,plain,
    ( spl20_112
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).

fof(f28985,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_109 ),
    inference(duplicate_literal_removal,[],[f28984]) ).

fof(f28984,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f27304,f911]) ).

fof(f27304,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f23215,f572]) ).

fof(f23215,plain,
    ( e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f156,f887]) ).

fof(f887,plain,
    ( e2 = op(e1,e0)
    | ~ spl20_104 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f28919,plain,
    ( spl20_123
    | spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_17
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f13367,f914,f462,f388,f398,f918,f1012]) ).

fof(f13367,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f1138,f915]) ).

fof(f1138,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f173,f464]) ).

fof(f464,plain,
    ( e3 = op(e3,e1)
    | ~ spl20_17 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f173,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28872,plain,
    ( ~ spl20_26
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f26594,f570,f503]) ).

fof(f26594,plain,
    ( ~ sP8
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20221]) ).

fof(f28835,plain,
    ( spl20_99
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f28792,f1167,f927,f507,f398,f413,f408,f864]) ).

fof(f927,plain,
    ( spl20_113
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).

fof(f28792,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f25245,f1169]) ).

fof(f25245,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4896,f509]) ).

fof(f4896,plain,
    ( e1 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f171,f928]) ).

fof(f928,plain,
    ( e1 = op(e2,e3)
    | ~ spl20_113 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f28777,plain,
    ( spl20_128
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_11
    | ~ spl20_121
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f28720,f1687,f1004,f435,f408,f413,f398,f1124]) ).

fof(f1687,plain,
    ( spl20_132
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).

fof(f28720,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_121
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f25582,f437]) ).

fof(f25582,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_121
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2070,f1688]) ).

fof(f1688,plain,
    ( e2 = op(e1,e3)
    | ~ spl20_132 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f2070,plain,
    ( e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f163,f1006]) ).

fof(f1006,plain,
    ( e0 = op(e1,e0)
    | ~ spl20_121 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f28736,plain,
    ( spl20_134
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_35
    | ~ spl20_96
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f28719,f1687,f851,f543,f398,f408,f413,f1925]) ).

fof(f543,plain,
    ( spl20_35
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).

fof(f28719,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_96
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f28718,f545]) ).

fof(f545,plain,
    ( e0 = op(e0,e3)
    | ~ spl20_35 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f28718,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f25859,f852]) ).

fof(f25859,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f180,f1688]) ).

fof(f28716,plain,
    ( spl20_133
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_11
    | ~ spl20_121
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f28185,f2159,f1004,f435,f413,f398,f408,f1864]) ).

fof(f1864,plain,
    ( spl20_133
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).

fof(f28185,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_121
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f6859,f2161]) ).

fof(f6859,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f6386,f1006]) ).

fof(f6386,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f163,f437]) ).

fof(f28704,plain,
    ( spl20_135
    | spl20_132
    | spl20_4
    | spl20_2
    | ~ spl20_11
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f6857,f1004,f435,f393,f403,f1687,f2159]) ).

fof(f6857,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f6108,f1006]) ).

fof(f6108,plain,
    ( e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f161,f437]) ).

fof(f28698,plain,
    ( spl20_121
    | spl20_123
    | spl20_2
    | spl20_3
    | ~ spl20_27
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f22717,f957,f507,f398,f393,f1012,f1004]) ).

fof(f957,plain,
    ( spl20_120
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).

fof(f22717,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f20301,f958]) ).

fof(f958,plain,
    ( op(e0,e0) = e3
    | ~ spl20_120 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f20301,plain,
    ( e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0)
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f150,f509]) ).

fof(f150,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28694,plain,
    ( spl20_107
    | spl20_133
    | spl20_3
    | spl20_5
    | ~ spl20_11
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f15310,f896,f435,f408,f398,f1864,f900]) ).

fof(f15310,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f6296,f437]) ).

fof(f6296,plain,
    ( e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f163,f897]) ).

fof(f28692,plain,
    ( spl20_33
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_27
    | ~ spl20_120
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f28639,f1012,f957,f507,f388,f408,f403,f534]) ).

fof(f534,plain,
    ( spl20_33
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).

fof(f28639,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_120
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f27654,f1014]) ).

fof(f27654,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f25321,f958]) ).

fof(f25321,plain,
    ( e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f152,f509]) ).

fof(f152,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28677,plain,
    ( spl20_21
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_35
    | ~ spl20_96
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f28559,f1864,f851,f543,f413,f393,f403,f480]) ).

fof(f480,plain,
    ( spl20_21
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f28559,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_96
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f12081,f1866]) ).

fof(f1866,plain,
    ( e3 = op(e1,e3)
    | ~ spl20_133 ),
    inference(avatar_component_clause,[],[f1864]) ).

fof(f12081,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f7523,f545]) ).

fof(f7523,plain,
    ( e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f178,f852]) ).

fof(f178,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28647,plain,
    ( spl20_113
    | spl20_1
    | spl20_5
    | spl20_4
    | ~ spl20_27
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f28530,f1167,f864,f507,f403,f408,f388,f927]) ).

fof(f28530,plain,
    ( e1 = e2
    | e1 = e3
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f28529,f509]) ).

fof(f28529,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f27909,f865]) ).

fof(f27909,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f167,f1169]) ).

fof(f28640,plain,
    ( ~ spl20_27
    | ~ spl20_21
    | spl20_84 ),
    inference(avatar_split_clause,[],[f27589,f791,f480,f507]) ).

fof(f791,plain,
    ( spl20_84
  <=> op(e2,e0) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).

fof(f27589,plain,
    ( e2 != op(e2,e0)
    | ~ spl20_21
    | spl20_84 ),
    inference(superposition,[],[f793,f482]) ).

fof(f482,plain,
    ( e2 = op(e2,e3)
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f793,plain,
    ( op(e2,e0) != op(e2,e3)
    | spl20_84 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f28636,plain,
    ( spl20_101
    | spl20_4
    | spl20_5
    | ~ spl20_27
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f28550,f957,f886,f507,f408,f403,f873]) ).

fof(f28550,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f28549,f958]) ).

fof(f28549,plain,
    ( e1 = e2
    | e1 = op(e3,e0)
    | op(e0,e0) = e1
    | ~ spl20_27
    | ~ spl20_104 ),
    inference(duplicate_literal_removal,[],[f28548]) ).

fof(f28548,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e3,e0)
    | op(e0,e0) = e1
    | ~ spl20_27
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f26519,f509]) ).

fof(f26519,plain,
    ( e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | op(e0,e0) = e1
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f152,f887]) ).

fof(f28626,plain,
    ( spl20_123
    | spl20_3
    | spl20_2
    | ~ spl20_27
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f28547,f957,f886,f507,f393,f398,f1012]) ).

fof(f28547,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(duplicate_literal_removal,[],[f28546]) ).

fof(f28546,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f22773,f509]) ).

fof(f22773,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | ~ spl20_104
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f1136,f958]) ).

fof(f1136,plain,
    ( e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e0,e0)
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f150,f887]) ).

fof(f28502,plain,
    ( spl20_113
    | spl20_4
    | spl20_5
    | ~ spl20_27
    | ~ spl20_99
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f28462,f3550,f864,f507,f408,f403,f927]) ).

fof(f28462,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_99
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f28461]) ).

fof(f28461,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = e3
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_99
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f25526,f865]) ).

fof(f25526,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f23212,f509]) ).

fof(f23212,plain,
    ( e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f167,f3551]) ).

fof(f28438,plain,
    ( spl20_109
    | spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_17
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f28391,f918,f914,f462,f403,f393,f413,f910]) ).

fof(f28391,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f28390,f915]) ).

fof(f28390,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f20749,f919]) ).

fof(f20749,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f177,f464]) ).

fof(f177,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28432,plain,
    ( spl20_101
    | spl20_4
    | spl20_5
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f28356,f957,f900,f507,f408,f403,f873]) ).

fof(f28356,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_120 ),
    inference(duplicate_literal_removal,[],[f28355]) ).

fof(f28355,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f27654,f901]) ).

fof(f28318,plain,
    ( spl20_29
    | spl20_4
    | spl20_1
    | ~ spl20_97
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f28158,f1027,f918,f856,f388,f403,f516]) ).

fof(f28158,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e1,e3)
    | ~ spl20_97
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f28157]) ).

fof(f28157,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e1,e3)
    | ~ spl20_97
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f25333,f919]) ).

fof(f25333,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_97
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f21276,f1029]) ).

fof(f21276,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f176,f857]) ).

fof(f176,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f28310,plain,
    ( ~ spl20_56
    | ~ spl20_11
    | spl20_55 ),
    inference(avatar_split_clause,[],[f646,f642,f435,f648]) ).

fof(f642,plain,
    ( spl20_55
  <=> op(e1,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).

fof(f646,plain,
    ( e1 != op(e3,e1)
    | ~ spl20_11
    | spl20_55 ),
    inference(forward_demodulation,[],[f644,f437]) ).

fof(f644,plain,
    ( op(e1,e1) != op(e3,e1)
    | spl20_55 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f28292,plain,
    ( spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f28261,f6967,f1012,f918,f914,f398,f413,f408]) ).

fof(f28261,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f28260]) ).

fof(f28260,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f20022,f919]) ).

fof(f20022,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | ~ spl20_110
    | ~ spl20_123
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f20021,f1014]) ).

fof(f20021,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_110
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f12550,f6969]) ).

fof(f6969,plain,
    ( e2 = op(e3,e1)
    | ~ spl20_138 ),
    inference(avatar_component_clause,[],[f6967]) ).

fof(f12550,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f179,f915]) ).

fof(f28239,plain,
    ( ~ spl20_26
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f27766,f918,f471,f503]) ).

fof(f471,plain,
    ( spl20_19
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).

fof(f27766,plain,
    ( e3 != op(e3,e0)
    | ~ sP8
    | ~ spl20_111 ),
    inference(trivial_inequality_removal,[],[f27765]) ).

fof(f27765,plain,
    ( e0 != e0
    | e3 != op(e3,e0)
    | ~ sP8
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f256,f919]) ).

fof(f256,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e3,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f28127,plain,
    ( spl20_25
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f26573,f1128,f940,f648,f413,f393,f403,f498]) ).

fof(f940,plain,
    ( spl20_116
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).

fof(f1128,plain,
    ( spl20_129
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).

fof(f26573,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f26572,f941]) ).

fof(f941,plain,
    ( e3 = op(e0,e1)
    | ~ spl20_116 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f26572,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f26571,f1129]) ).

fof(f1129,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_129 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f26571,plain,
    ( e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f162,f649]) ).

fof(f649,plain,
    ( e1 = op(e3,e1)
    | ~ spl20_56 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f28090,plain,
    ( ~ spl20_14
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f27372,f489,f449]) ).

fof(f449,plain,
    ( spl20_14
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

fof(f27372,plain,
    ( ~ sP14
    | ~ spl20_23 ),
    inference(trivial_inequality_removal,[],[f1340]) ).

fof(f1340,plain,
    ( e2 != e2
    | ~ sP14
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f337,f491]) ).

fof(f491,plain,
    ( e2 = op(e2,e2)
    | ~ spl20_23 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f337,plain,
    ( e2 != op(e2,e2)
    | ~ sP14 ),
    inference(duplicate_literal_removal,[],[f225]) ).

fof(f225,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e3 = op(e3,e2) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e3 = op(e3,e2) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f28010,plain,
    ( ~ spl20_101
    | ~ spl20_138
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f358,f918,f6967,f873]) ).

fof(f358,plain,
    ( e0 != op(e3,e3)
    | e2 != op(e3,e1)
    | e1 != op(e3,e0) ),
    inference(inner_rewriting,[],[f357]) ).

fof(f357,plain,
    ( e0 != op(e3,e3)
    | e2 != op(e3,op(e3,e0))
    | e1 != op(e3,e0) ),
    inference(inner_rewriting,[],[f308]) ).

fof(f308,plain,
    ( e0 != op(e3,e3)
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e0 != op(e3,e3)
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e0 = op(e3,e3)
      & e2 = op(e3,op(e3,op(e3,e3)))
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f28001,plain,
    ( spl20_113
    | spl20_1
    | spl20_4
    | ~ spl20_111
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f27985,f1687,f1027,f918,f403,f388,f927]) ).

fof(f27985,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_111
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f27984]) ).

fof(f27984,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_111
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f27721,f1029]) ).

fof(f27721,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f22084,f919]) ).

fof(f22084,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f176,f1688]) ).

fof(f27980,plain,
    ( spl20_132
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_11
    | ~ spl20_106
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f17456,f900,f896,f435,f393,f413,f403,f1687]) ).

fof(f17456,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_106
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f15694,f897]) ).

fof(f15694,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f11533,f901]) ).

fof(f11533,plain,
    ( e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f161,f437]) ).

fof(f27971,plain,
    ( spl20_107
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f25743,f873,f570,f507,f408,f413,f398,f900]) ).

fof(f25743,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f25624,f874]) ).

fof(f25624,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f25031,f509]) ).

fof(f25031,plain,
    ( e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f156,f572]) ).

fof(f27911,plain,
    ( spl20_101
    | spl20_1
    | spl20_4
    | spl20_5
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f27787,f900,f570,f507,f408,f403,f388,f873]) ).

fof(f27787,plain,
    ( e1 = e3
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f27786,f901]) ).

fof(f27786,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f26939,f509]) ).

fof(f26939,plain,
    ( e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f152,f572]) ).

fof(f27907,plain,
    ( spl20_128
    | spl20_15
    | spl20_5
    | ~ spl20_95
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f27776,f936,f846,f408,f453,f1124]) ).

fof(f453,plain,
    ( spl20_15
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f936,plain,
    ( spl20_115
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).

fof(f27776,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f27775]) ).

fof(f27775,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f24499,f937]) ).

fof(f937,plain,
    ( e1 = op(e0,e2)
    | ~ spl20_115 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f24499,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f172,f847]) ).

fof(f172,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f27854,plain,
    ( spl20_1
    | ~ spl20_25
    | ~ spl20_41
    | ~ spl20_95
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f27831,f1167,f846,f570,f498,f388]) ).

fof(f27831,plain,
    ( e0 = e1
    | ~ spl20_25
    | ~ spl20_41
    | ~ spl20_95
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1794,f572]) ).

fof(f1794,plain,
    ( op(e0,e0) = e1
    | ~ spl20_25
    | ~ spl20_95
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f847,f1738]) ).

fof(f1738,plain,
    ( e0 = e2
    | ~ spl20_25
    | ~ spl20_130 ),
    inference(superposition,[],[f1169,f500]) ).

fof(f27853,plain,
    ( ~ spl20_26
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f26594,f570,f503]) ).

fof(f27736,plain,
    ( spl20_134
    | spl20_6
    | spl20_3
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f27718,f1687,f918,f543,f398,f413,f1925]) ).

fof(f27718,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f27717]) ).

fof(f27717,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f27716,f545]) ).

fof(f27716,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f25859,f919]) ).

fof(f27713,plain,
    ( spl20_132
    | spl20_21
    | spl20_2
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f27382,f918,f543,f393,f480,f1687]) ).

fof(f27382,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f11080]) ).

fof(f11080,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f3941,f919]) ).

fof(f3941,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f178,f545]) ).

fof(f27677,plain,
    ( spl20_5
    | ~ spl20_11
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f11202,f890,f435,f408]) ).

fof(f11202,plain,
    ( e1 = e3
    | ~ spl20_11
    | ~ spl20_105 ),
    inference(superposition,[],[f437,f891]) ).

fof(f27673,plain,
    ( ~ spl20_28
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f27652,f957,f543,f512]) ).

fof(f512,plain,
    ( spl20_28
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).

fof(f27652,plain,
    ( ~ sP7
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f27651]) ).

fof(f27651,plain,
    ( e3 != e3
    | ~ sP7
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f27381,f958]) ).

fof(f27381,plain,
    ( op(e0,e0) != e3
    | ~ sP7
    | ~ spl20_35 ),
    inference(trivial_inequality_removal,[],[f11909]) ).

fof(f11909,plain,
    ( e0 != e0
    | op(e0,e0) != e3
    | ~ sP7
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f258,f545]) ).

fof(f258,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP7 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e1 = op(e1,e3) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e1 = op(e1,e3) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f27605,plain,
    ( spl20_97
    | spl20_1
    | spl20_2
    | spl20_3
    | ~ spl20_23
    | ~ spl20_98
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f27597,f3550,f860,f489,f398,f393,f388,f856]) ).

fof(f27597,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = e1
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_98
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f27596,f3551]) ).

fof(f27596,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f24002,f491]) ).

fof(f24002,plain,
    ( e0 = e1
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f165,f861]) ).

fof(f27595,plain,
    ( spl20_98
    | spl20_113
    | spl20_4
    | spl20_5
    | ~ spl20_23
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f26396,f3550,f489,f408,f403,f927,f860]) ).

fof(f26396,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f23806,f3551]) ).

fof(f23806,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f167,f491]) ).

fof(f27577,plain,
    ( spl20_21
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f27552,f1061,f918,f516,f413,f393,f403,f480]) ).

fof(f1061,plain,
    ( spl20_127
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_127])]) ).

fof(f27552,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f27551,f1063]) ).

fof(f1063,plain,
    ( e3 = op(e0,e3)
    | ~ spl20_127 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f27551,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f18101,f919]) ).

fof(f18101,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f178,f518]) ).

fof(f27559,plain,
    ( ~ spl20_32
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f26591,f570,f530]) ).

fof(f530,plain,
    ( spl20_32
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).

fof(f26591,plain,
    ( ~ sP4
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20202]) ).

fof(f20202,plain,
    ( e0 != e0
    | ~ sP4
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f327,f572]) ).

fof(f327,plain,
    ( e0 != op(e0,e0)
    | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f273,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e1 = op(e1,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e1 = op(e1,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f27525,plain,
    ( ~ spl20_132
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f27416,f896,f890,f1687]) ).

fof(f27416,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,e3)
    | ~ spl20_106 ),
    inference(trivial_inequality_removal,[],[f27415]) ).

fof(f27415,plain,
    ( e0 != e0
    | e3 != op(e1,e1)
    | e2 != op(e1,e3)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f364,f897]) ).

fof(f364,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,e2)
    | e2 != op(e1,e3) ),
    inference(inner_rewriting,[],[f363]) ).

fof(f363,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e3))
    | e2 != op(e1,e3) ),
    inference(inner_rewriting,[],[f311]) ).

fof(f311,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e3 = op(e1,e1)
      & e0 = op(e1,op(e1,op(e1,e1)))
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f27369,plain,
    ( spl20_19
    | spl20_15
    | spl20_3
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17317,f1171,f918,f398,f453,f471]) ).

fof(f17317,plain,
    ( e0 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f17316]) ).

fof(f17316,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f10776,f1173]) ).

fof(f10776,plain,
    ( e0 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f179,f919]) ).

fof(f27260,plain,
    ( spl20_54
    | spl20_113
    | spl20_1
    | spl20_4
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f25328,f931,f507,f403,f388,f927,f637]) ).

fof(f637,plain,
    ( spl20_54
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).

fof(f931,plain,
    ( spl20_114
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).

fof(f25328,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f22086,f509]) ).

fof(f22086,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f167,f932]) ).

fof(f932,plain,
    ( e0 = op(e2,e2)
    | ~ spl20_114 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f27212,plain,
    ( spl20_110
    | spl20_5
    | spl20_1
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f27150,f918,f471,f462,f388,f408,f914]) ).

fof(f27150,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f26072,f919]) ).

fof(f26072,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1230,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f1229,f473]) ).

fof(f473,plain,
    ( e3 = op(e3,e0)
    | ~ spl20_19 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1229,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f175,f464]) ).

fof(f27092,plain,
    ( spl20_136
    | spl20_134
    | spl20_3
    | spl20_6
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3942,f931,f507,f413,f398,f1925,f3550]) ).

fof(f3942,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2723,f509]) ).

fof(f2723,plain,
    ( e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f171,f932]) ).

fof(f27085,plain,
    ( spl20_111
    | spl20_2
    | spl20_1
    | spl20_3
    | ~ spl20_113
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f26998,f1687,f1061,f927,f398,f388,f393,f918]) ).

fof(f26998,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f23841,f1063]) ).

fof(f23841,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_113
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2722,f928]) ).

fof(f2722,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e0,e3)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f174,f1688]) ).

fof(f174,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f27078,plain,
    ( spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f26997,f1167,f931,f927,f507,f398,f413,f408]) ).

fof(f26997,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f26996]) ).

fof(f26996,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f26995,f1169]) ).

fof(f26995,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f25245,f932]) ).

fof(f26920,plain,
    ( spl20_4
    | ~ spl20_56
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f26507,f6967,f648,f403]) ).

fof(f26507,plain,
    ( e1 = e2
    | ~ spl20_56
    | ~ spl20_138 ),
    inference(superposition,[],[f6969,f649]) ).

fof(f26833,plain,
    ( spl20_3
    | ~ spl20_56
    | ~ spl20_105
    | ~ spl20_114
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f26723,f6967,f931,f890,f648,f398]) ).

fof(f26723,plain,
    ( e0 = e3
    | ~ spl20_56
    | ~ spl20_105
    | ~ spl20_114
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f891,f26715]) ).

fof(f26715,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_56
    | ~ spl20_114
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f932,f26507]) ).

fof(f26584,plain,
    ( spl20_112
    | spl20_6
    | ~ spl20_104
    | ~ spl20_109
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f26578,f944,f910,f886,f413,f923]) ).

fof(f944,plain,
    ( spl20_117
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).

fof(f26578,plain,
    ( e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_104
    | ~ spl20_109
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f26577]) ).

fof(f26577,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_104
    | ~ spl20_109
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f26576,f945]) ).

fof(f945,plain,
    ( op(e0,e0) = e2
    | ~ spl20_117 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f26576,plain,
    ( e2 = e3
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_104
    | ~ spl20_109 ),
    inference(duplicate_literal_removal,[],[f26575]) ).

fof(f26575,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_104
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f26169,f887]) ).

fof(f26169,plain,
    ( e2 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f156,f911]) ).

fof(f26514,plain,
    ( spl20_112
    | spl20_5
    | spl20_6
    | ~ spl20_101
    | ~ spl20_104
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f26378,f944,f886,f873,f413,f408,f923]) ).

fof(f26378,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_101
    | ~ spl20_104
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f26377]) ).

fof(f26377,plain,
    ( e2 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_101
    | ~ spl20_104
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f10697,f945]) ).

fof(f10697,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_101
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f1134,f874]) ).

fof(f1134,plain,
    ( e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f156,f887]) ).

fof(f26299,plain,
    ( ~ spl20_24
    | ~ spl20_17
    | ~ spl20_96 ),
    inference(avatar_split_clause,[],[f26226,f851,f462,f494]) ).

fof(f494,plain,
    ( spl20_24
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).

fof(f26226,plain,
    ( ~ sP9
    | ~ spl20_17
    | ~ spl20_96 ),
    inference(trivial_inequality_removal,[],[f26225]) ).

fof(f26225,plain,
    ( e1 != e1
    | ~ sP9
    | ~ spl20_17
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f26224,f852]) ).

fof(f26224,plain,
    ( e1 != op(e3,e3)
    | ~ sP9
    | ~ spl20_17 ),
    inference(trivial_inequality_removal,[],[f26223]) ).

fof(f26223,plain,
    ( e3 != e3
    | e1 != op(e3,e3)
    | ~ sP9
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f251,f464]) ).

fof(f251,plain,
    ( e3 != op(e3,e1)
    | e1 != op(e3,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e2 = op(e2,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e2 = op(e2,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f26208,plain,
    ( spl20_107
    | spl20_105
    | spl20_6
    | spl20_5
    | ~ spl20_31
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f26075,f1687,f525,f408,f413,f890,f900]) ).

fof(f525,plain,
    ( spl20_31
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).

fof(f26075,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11239,f527]) ).

fof(f527,plain,
    ( e1 = op(e1,e2)
    | ~ spl20_31 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f11239,plain,
    ( e2 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f163,f1688]) ).

fof(f26198,plain,
    ( spl20_132
    | spl20_21
    | spl20_4
    | spl20_6
    | ~ spl20_96
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f26106,f1061,f851,f413,f403,f480,f1687]) ).

fof(f26106,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f4606,f1063]) ).

fof(f4606,plain,
    ( e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f178,f852]) ).

fof(f26197,plain,
    ( spl20_107
    | spl20_105
    | spl20_3
    | spl20_5
    | ~ spl20_31
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f10430,f882,f525,f408,f398,f890,f900]) ).

fof(f10430,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f6764,f527]) ).

fof(f6764,plain,
    ( e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f163,f883]) ).

fof(f26143,plain,
    ( spl20_107
    | spl20_3
    | spl20_6
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f26135,f910,f570,f507,f413,f398,f900]) ).

fof(f26135,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(duplicate_literal_removal,[],[f26134]) ).

fof(f26134,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f22873,f509]) ).

fof(f22873,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1311,f572]) ).

fof(f26132,plain,
    ( spl20_109
    | spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_17
    | ~ spl20_96
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f26091,f869,f851,f462,f393,f403,f413,f910]) ).

fof(f26091,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_96
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f26090,f870]) ).

fof(f26090,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f20749,f852]) ).

fof(f26129,plain,
    ( spl20_138
    | spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_19
    | ~ spl20_96
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f26085,f869,f851,f471,f393,f403,f413,f6967]) ).

fof(f26085,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | e2 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_96
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f26084,f870]) ).

fof(f26084,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f15959,f852]) ).

fof(f15959,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f177,f473]) ).

fof(f26099,plain,
    ( spl20_129
    | spl20_131
    | spl20_1
    | ~ spl20_50
    | ~ spl20_54 ),
    inference(avatar_split_clause,[],[f25956,f637,f616,f388,f1171,f1128]) ).

fof(f616,plain,
    ( spl20_50
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).

fof(f25956,plain,
    ( e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_54 ),
    inference(duplicate_literal_removal,[],[f9886]) ).

fof(f9886,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f8478,f638]) ).

fof(f638,plain,
    ( e1 = op(e2,e1)
    | ~ spl20_54 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f8478,plain,
    ( e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f158,f617]) ).

fof(f617,plain,
    ( e1 = op(e0,e1)
    | ~ spl20_50 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f158,plain,
    ( e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f26070,plain,
    ( ~ spl20_96
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f24514,f6967,f869,f851]) ).

fof(f24514,plain,
    ( e1 != op(e3,e3)
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(trivial_inequality_removal,[],[f7498]) ).

fof(f7498,plain,
    ( e2 != e2
    | e1 != op(e3,e3)
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f6555,f6969]) ).

fof(f6555,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,e1)
    | ~ spl20_100 ),
    inference(trivial_inequality_removal,[],[f1273]) ).

fof(f1273,plain,
    ( e0 != e0
    | e1 != op(e3,e3)
    | e2 != op(e3,e1)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f366,f870]) ).

fof(f366,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,e2)
    | e2 != op(e3,e1) ),
    inference(inner_rewriting,[],[f365]) ).

fof(f365,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(inner_rewriting,[],[f312]) ).

fof(f312,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(e3,op(e3,op(e3,e3)))
      & e2 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f25955,plain,
    ( spl20_3
    | ~ spl20_41
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f25934,f3579,f869,f864,f570,f398]) ).

fof(f25934,plain,
    ( e0 = e3
    | ~ spl20_41
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f14848,f572]) ).

fof(f14848,plain,
    ( op(e0,e0) = e3
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f865,f14546]) ).

fof(f25819,plain,
    ( ~ spl20_7
    | spl20_19
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f17276,f918,f471,f418]) ).

fof(f418,plain,
    ( spl20_7
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f17276,plain,
    ( e3 = op(e3,e0)
    | ~ sP16
    | ~ spl20_111 ),
    inference(trivial_inequality_removal,[],[f9267]) ).

fof(f9267,plain,
    ( e0 != e0
    | e3 = op(e3,e0)
    | ~ sP16
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f216,f919]) ).

fof(f216,plain,
    ( e3 = op(e3,e0)
    | e0 != op(e3,e3)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( ( e3 = op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0) )
      & e0 = op(e0,e0) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( ( e3 = op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0) )
      & e0 = op(e0,e0) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f25783,plain,
    ( spl20_132
    | spl20_102
    | spl20_4
    | spl20_6
    | ~ spl20_118
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f17464,f1925,f949,f413,f403,f877,f1687]) ).

fof(f17464,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_118
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f9588,f1927]) ).

fof(f1927,plain,
    ( e3 = op(e2,e3)
    | ~ spl20_134 ),
    inference(avatar_component_clause,[],[f1925]) ).

fof(f9588,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f178,f950]) ).

fof(f25765,plain,
    ( spl20_134
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3950,f931,f637,f507,f413,f408,f398,f1925]) ).

fof(f3950,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2724,f509]) ).

fof(f2724,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2723,f638]) ).

fof(f25749,plain,
    ( spl20_114
    | spl20_100
    | spl20_3
    | spl20_1
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f23940,f1057,f525,f388,f398,f869,f931]) ).

fof(f1057,plain,
    ( spl20_126
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).

fof(f23940,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f18451,f527]) ).

fof(f18451,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f166,f1059]) ).

fof(f1059,plain,
    ( e3 = op(e0,e2)
    | ~ spl20_126 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f25746,plain,
    ( spl20_13
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_101
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17448,f3579,f1171,f873,f408,f398,f413,f444]) ).

fof(f444,plain,
    ( spl20_13
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f17448,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_101
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17447,f874]) ).

fof(f17447,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15707,f1173]) ).

fof(f15707,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f179,f3581]) ).

fof(f25741,plain,
    ( spl20_19
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f25687,f1004,f570,f507,f398,f413,f471]) ).

fof(f25687,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f25686]) ).

fof(f25686,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f25624,f1006]) ).

fof(f25718,plain,
    ( spl20_101
    | spl20_4
    | spl20_1
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f25627,f1004,f570,f507,f388,f403,f873]) ).

fof(f25627,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f25626]) ).

fof(f25626,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f25625,f1006]) ).

fof(f25625,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f24754,f509]) ).

fof(f24754,plain,
    ( e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f152,f572]) ).

fof(f25689,plain,
    ( spl20_100
    | spl20_3
    | spl20_1
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f25610,f936,f864,f525,f388,f398,f869]) ).

fof(f25610,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f25609]) ).

fof(f25609,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f25228,f937]) ).

fof(f25228,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f14128,f527]) ).

fof(f14128,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f166,f865]) ).

fof(f25685,plain,
    ( spl20_19
    | spl20_6
    | spl20_3
    | ~ spl20_102
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f25601,f3579,f1171,f877,f398,f413,f471]) ).

fof(f25601,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | ~ spl20_102
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f25107,f1173]) ).

fof(f25107,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_102
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f17501]) ).

fof(f17501,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_102
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f11911,f3581]) ).

fof(f11911,plain,
    ( e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f179,f878]) ).

fof(f25629,plain,
    ( ~ spl20_26
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f24511,f570,f503]) ).

fof(f24511,plain,
    ( ~ sP8
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20221]) ).

fof(f25548,plain,
    ( spl20_96
    | spl20_4
    | spl20_1
    | ~ spl20_97
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f25529,f1027,f882,f856,f388,f403,f851]) ).

fof(f25529,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_97
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f25528]) ).

fof(f25528,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_97
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f25333,f883]) ).

fof(f25520,plain,
    ( spl20_136
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f25483,f904,f648,f561,f398,f408,f413,f3550]) ).

fof(f904,plain,
    ( spl20_108
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).

fof(f25483,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f13747,f563]) ).

fof(f13747,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f10007,f649]) ).

fof(f10007,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f164,f905]) ).

fof(f905,plain,
    ( e2 = op(e1,e1)
    | ~ spl20_108 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f164,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f25452,plain,
    ( spl20_99
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f1623,f856,f637,f507,f413,f408,f398,f864]) ).

fof(f1623,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1622,f509]) ).

fof(f1622,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1615,f638]) ).

fof(f1615,plain,
    ( e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f171,f857]) ).

fof(f25445,plain,
    ( spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f25355,f931,f856,f637,f507,f398,f413,f408]) ).

fof(f25355,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(duplicate_literal_removal,[],[f25354]) ).

fof(f25354,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f25353,f932]) ).

fof(f25353,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f20701,f857]) ).

fof(f20701,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f5439,f509]) ).

fof(f5439,plain,
    ( e1 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f171,f638]) ).

fof(f25295,plain,
    ( ~ spl20_14
    | ~ spl20_15
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f25294,f877,f453,f449]) ).

fof(f25294,plain,
    ( ~ sP14
    | ~ spl20_15
    | ~ spl20_102 ),
    inference(trivial_inequality_removal,[],[f25293]) ).

fof(f25293,plain,
    ( e2 != e2
    | ~ sP14
    | ~ spl20_15
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f25292,f878]) ).

fof(f25292,plain,
    ( e2 != op(e3,e3)
    | ~ sP14
    | ~ spl20_15 ),
    inference(trivial_inequality_removal,[],[f25291]) ).

fof(f25291,plain,
    ( e3 != e3
    | e2 != op(e3,e3)
    | ~ sP14
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f226,f455]) ).

fof(f455,plain,
    ( e3 = op(e3,e2)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f226,plain,
    ( e3 != op(e3,e2)
    | e2 != op(e3,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f25290,plain,
    ( ~ spl20_30
    | ~ spl20_15
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f25105,f877,f453,f521]) ).

fof(f521,plain,
    ( spl20_30
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).

fof(f25105,plain,
    ( e3 != op(e3,e2)
    | ~ sP6
    | ~ spl20_102 ),
    inference(trivial_inequality_removal,[],[f3150]) ).

fof(f3150,plain,
    ( e2 != e2
    | e3 != op(e3,e2)
    | ~ sP6
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f266,f878]) ).

fof(f266,plain,
    ( e3 != op(e3,e2)
    | e2 != op(e3,e3)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e1 = op(e1,e2) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e1 = op(e1,e2) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f25237,plain,
    ( spl20_137
    | spl20_6
    | spl20_4
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f25220,f936,f864,f525,f403,f413,f3579]) ).

fof(f25220,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f25219]) ).

fof(f25219,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_99
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f25218,f937]) ).

fof(f25218,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f17826,f527]) ).

fof(f17826,plain,
    ( e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2)
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f170,f865]) ).

fof(f170,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f25213,plain,
    ( spl20_99
    | spl20_15
    | spl20_5
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f25183,f936,f525,f408,f453,f864]) ).

fof(f25183,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f25182]) ).

fof(f25182,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f20743,f527]) ).

fof(f20743,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f172,f937]) ).

fof(f25176,plain,
    ( spl20_123
    | spl20_111
    | spl20_1
    | spl20_2
    | ~ spl20_56
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17759,f3579,f648,f393,f388,f918,f1012]) ).

fof(f17759,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f9404,f3581]) ).

fof(f9404,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f173,f649]) ).

fof(f25170,plain,
    ( spl20_19
    | spl20_5
    | spl20_6
    | ~ spl20_56
    | ~ spl20_102
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f25127,f3579,f877,f648,f413,f408,f471]) ).

fof(f25127,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_102
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f25126]) ).

fof(f25126,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_102
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f22127,f3581]) ).

fof(f22127,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f9400,f878]) ).

fof(f9400,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f179,f649]) ).

fof(f25103,plain,
    ( spl20_96
    | spl20_1
    | spl20_4
    | ~ spl20_109
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f25044,f3579,f1171,f910,f403,f388,f851]) ).

fof(f25044,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_109
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f25043]) ).

fof(f25043,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_109
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f21448,f3581]) ).

fof(f25018,plain,
    ( spl20_95
    | spl20_5
    | spl20_1
    | ~ spl20_97
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f25001,f3550,f923,f856,f388,f408,f846]) ).

fof(f25001,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e2,e2)
    | ~ spl20_97
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f23210,f857]) ).

fof(f23210,plain,
    ( e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f23209]) ).

fof(f23209,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f22106,f924]) ).

fof(f924,plain,
    ( e3 = op(e2,e0)
    | ~ spl20_112 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f22106,plain,
    ( e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f167,f3551]) ).

fof(f24996,plain,
    ( spl20_112
    | spl20_6
    | spl20_3
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f24971,f1012,f886,f570,f398,f413,f923]) ).

fof(f24971,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f24970]) ).

fof(f24970,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_104
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f24969,f572]) ).

fof(f24969,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_104
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f23215,f1014]) ).

fof(f24931,plain,
    ( spl20_107
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f24908,f1012,f570,f507,f398,f413,f900]) ).

fof(f24908,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f24907]) ).

fof(f24907,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_41
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f24906,f572]) ).

fof(f24906,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_27
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f23726,f509]) ).

fof(f23726,plain,
    ( e0 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f156,f1014]) ).

fof(f24929,plain,
    ( ~ spl20_11
    | ~ spl20_31
    | spl20_79 ),
    inference(avatar_split_clause,[],[f13763,f764,f525,f435]) ).

fof(f764,plain,
    ( spl20_79
  <=> op(e1,e1) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).

fof(f13763,plain,
    ( e1 != op(e1,e1)
    | ~ spl20_31
    | spl20_79 ),
    inference(superposition,[],[f766,f527]) ).

fof(f766,plain,
    ( op(e1,e1) != op(e1,e2)
    | spl20_79 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f24917,plain,
    ( spl20_13
    | spl20_3
    | spl20_6
    | ~ spl20_123
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f24904,f6967,f3579,f1012,f413,f398,f444]) ).

fof(f24904,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | ~ spl20_123
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f24903]) ).

fof(f24903,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_123
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f20002,f3581]) ).

fof(f20002,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | ~ spl20_123
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f15751,f1014]) ).

fof(f15751,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f179,f6969]) ).

fof(f24902,plain,
    ( spl20_123
    | spl20_111
    | spl20_2
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f18558,f6967,f3579,f393,f918,f1012]) ).

fof(f18558,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f18557]) ).

fof(f18557,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f15757,f3581]) ).

fof(f15757,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f173,f6969]) ).

fof(f24811,plain,
    ( spl20_131
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f24756,f890,f616,f498,f388,f398,f393,f1171]) ).

fof(f24756,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e1)
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f24755,f617]) ).

fof(f24755,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_25
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f1653,f891]) ).

fof(f1653,plain,
    ( e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f158,f500]) ).

fof(f24748,plain,
    ( spl20_2
    | ~ spl20_25
    | ~ spl20_31
    | ~ spl20_97
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f24747,f1124,f856,f525,f498,f393]) ).

fof(f24747,plain,
    ( e0 = e2
    | ~ spl20_25
    | ~ spl20_31
    | ~ spl20_97
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f500,f24706]) ).

fof(f24706,plain,
    ( e0 = op(e2,e1)
    | ~ spl20_31
    | ~ spl20_97
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f857,f24316]) ).

fof(f24316,plain,
    ( e1 = e3
    | ~ spl20_31
    | ~ spl20_128 ),
    inference(superposition,[],[f527,f1125]) ).

fof(f1125,plain,
    ( e3 = op(e1,e2)
    | ~ spl20_128 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f24610,plain,
    ( spl20_25
    | spl20_138
    | spl20_6
    | spl20_4
    | ~ spl20_50
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f20132,f890,f616,f403,f413,f6967,f498]) ).

fof(f20132,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f14220,f617]) ).

fof(f14220,plain,
    ( e2 = e3
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f162,f891]) ).

fof(f24598,plain,
    ( spl20_13
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_100
    | ~ spl20_101
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f16260,f6967,f873,f869,f408,f413,f398,f444]) ).

fof(f16260,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | ~ spl20_100
    | ~ spl20_101
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f16259,f874]) ).

fof(f16259,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f9623,f6969]) ).

fof(f9623,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f179,f870]) ).

fof(f24588,plain,
    ( spl20_101
    | spl20_96
    | spl20_1
    | spl20_4
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f15932,f6967,f869,f403,f388,f851,f873]) ).

fof(f15932,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f9621,f6969]) ).

fof(f9621,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f175,f870]) ).

fof(f24535,plain,
    ( ~ spl20_18
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f22807,f570,f467]) ).

fof(f467,plain,
    ( spl20_18
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

fof(f22807,plain,
    ( ~ sP12
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20211]) ).

fof(f20211,plain,
    ( e0 != e0
    | ~ sP12
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f335,f572]) ).

fof(f335,plain,
    ( e0 != op(e0,e0)
    | ~ sP12 ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f233,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e3 = op(e3,e0) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e3 = op(e3,e0) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f24503,plain,
    ( spl20_110
    | spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f24463,f1171,f471,f388,f408,f851,f914]) ).

fof(f24463,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f7978,f1173]) ).

fof(f7978,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f175,f473]) ).

fof(f24490,plain,
    ( spl20_137
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_37
    | ~ spl20_95
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f24479,f1124,f846,f552,f393,f413,f403,f3579]) ).

fof(f552,plain,
    ( spl20_37
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).

fof(f24479,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e2)
    | ~ spl20_37
    | ~ spl20_95
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f24478,f554]) ).

fof(f554,plain,
    ( e0 = op(e0,e2)
    | ~ spl20_37 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f24478,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | ~ spl20_95
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f18284,f1125]) ).

fof(f18284,plain,
    ( e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2)
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f170,f847]) ).

fof(f24473,plain,
    ( spl20_95
    | spl20_110
    | spl20_5
    | spl20_1
    | ~ spl20_37
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f17910,f1124,f552,f388,f408,f914,f846]) ).

fof(f17910,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | ~ spl20_37
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13549,f554]) ).

fof(f13549,plain,
    ( e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e0,e2)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f168,f1125]) ).

fof(f168,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f24470,plain,
    ( spl20_133
    | spl20_6
    | spl20_5
    | ~ spl20_102
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f24380,f949,f927,f877,f408,f413,f1864]) ).

fof(f24380,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | ~ spl20_102
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f24379]) ).

fof(f24379,plain,
    ( e1 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | ~ spl20_102
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f22116,f928]) ).

fof(f22116,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | ~ spl20_102
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f12858,f950]) ).

fof(f12858,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f180,f878]) ).

fof(f24467,plain,
    ( ~ spl20_31
    | ~ spl20_11
    | spl20_79 ),
    inference(avatar_split_clause,[],[f768,f764,f435,f525]) ).

fof(f768,plain,
    ( e1 != op(e1,e2)
    | ~ spl20_11
    | spl20_79 ),
    inference(forward_demodulation,[],[f766,f437]) ).

fof(f24462,plain,
    ( ~ spl20_102
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f22812,f1171,f914,f877]) ).

fof(f22812,plain,
    ( e2 != op(e3,e3)
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(trivial_inequality_removal,[],[f13201]) ).

fof(f13201,plain,
    ( e1 != e1
    | e2 != op(e3,e3)
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f12740,f915]) ).

fof(f12740,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,e2)
    | ~ spl20_131 ),
    inference(trivial_inequality_removal,[],[f11673]) ).

fof(f11673,plain,
    ( e0 != e0
    | e2 != op(e3,e3)
    | e1 != op(e3,e2)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f354,f1173]) ).

fof(f354,plain,
    ( e2 != op(e3,e3)
    | e0 != op(e3,e1)
    | e1 != op(e3,e2) ),
    inference(inner_rewriting,[],[f353]) ).

fof(f353,plain,
    ( e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e2))
    | e1 != op(e3,e2) ),
    inference(inner_rewriting,[],[f306]) ).

fof(f306,plain,
    ( e2 != op(e3,e3)
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e2 != op(e3,e3)
    | e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e2 = op(e3,e3)
      & e0 = op(e3,op(e3,op(e3,e3)))
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f24340,plain,
    ( ~ spl20_118
    | ~ spl20_25
    | spl20_113
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1792,f1167,f927,f498,f949]) ).

fof(f1792,plain,
    ( e1 != op(e0,e3)
    | ~ spl20_25
    | spl20_113
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f929,f1738]) ).

fof(f929,plain,
    ( e1 != op(e2,e3)
    | spl20_113 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f24252,plain,
    ( spl20_138
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f24150,f1167,f940,f435,f413,f393,f403,f6967]) ).

fof(f24150,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e3,e1)
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f24149,f941]) ).

fof(f24149,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f14429,f1169]) ).

fof(f24239,plain,
    ( spl20_112
    | spl20_6
    | spl20_3
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f24119,f1167,f856,f489,f398,f413,f923]) ).

fof(f24119,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f24118]) ).

fof(f24118,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4541,f857]) ).

fof(f4541,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4175,f491]) ).

fof(f4175,plain,
    ( e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f171,f1169]) ).

fof(f24220,plain,
    ( spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_98
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f24080,f1167,f860,f856,f489,f408,f398,f413]) ).

fof(f24080,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_98
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f24079,f861]) ).

fof(f24079,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f24078]) ).

fof(f24078,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f23873,f1169]) ).

fof(f23873,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1615,f491]) ).

fof(f24006,plain,
    ( spl20_23
    | spl20_137
    | spl20_6
    | spl20_4
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f23938,f1057,f525,f403,f413,f3579,f489]) ).

fof(f23938,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f22866,f527]) ).

fof(f22866,plain,
    ( e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f170,f1059]) ).

fof(f23999,plain,
    ( spl20_114
    | spl20_97
    | spl20_2
    | spl20_1
    | ~ spl20_25
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f23899,f860,f498,f388,f393,f856,f931]) ).

fof(f23899,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f19875,f861]) ).

fof(f23995,plain,
    ( spl20_107
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_31
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f23982,f1687,f1128,f525,f398,f408,f413,f900]) ).

fof(f23982,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f23981,f1129]) ).

fof(f23981,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11239,f527]) ).

fof(f23979,plain,
    ( spl20_104
    | spl20_132
    | spl20_2
    | spl20_4
    | ~ spl20_31
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f10359,f1128,f525,f403,f393,f1687,f886]) ).

fof(f10359,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2163,f527]) ).

fof(f2163,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f161,f1129]) ).

fof(f23978,plain,
    ( ~ spl20_10
    | ~ spl20_105
    | spl20_29 ),
    inference(avatar_split_clause,[],[f199,f516,f890,f430]) ).

fof(f430,plain,
    ( spl20_10
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f199,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( ( e3 = op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 = op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 = op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 = op(e0,e3)
        | op(e0,e0) != e3 )
      & e3 = op(e3,e3) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( ( e3 = op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 = op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 = op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 = op(e0,e3)
        | op(e0,e0) != e3 )
      & e3 = op(e3,e3) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f23888,plain,
    ( spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f23859,f860,f856,f498,f489,f408,f413,f398]) ).

fof(f23859,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f23858,f861]) ).

fof(f23858,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(duplicate_literal_removal,[],[f23857]) ).

fof(f23857,plain,
    ( e2 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f23856,f500]) ).

fof(f23856,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f21292,f491]) ).

fof(f21292,plain,
    ( e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f171,f857]) ).

fof(f23850,plain,
    ( spl20_112
    | spl20_5
    | spl20_6
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f23823,f927,f498,f489,f413,f408,f923]) ).

fof(f23823,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f23822]) ).

fof(f23822,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f9994,f500]) ).

fof(f9994,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4069,f491]) ).

fof(f4069,plain,
    ( e1 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f171,f928]) ).

fof(f23837,plain,
    ( spl20_132
    | spl20_6
    | spl20_4
    | ~ spl20_96
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f23821,f1061,f927,f851,f403,f413,f1687]) ).

fof(f23821,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(duplicate_literal_removal,[],[f23820]) ).

fof(f23820,plain,
    ( e1 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f13198,f852]) ).

fof(f13198,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f10585,f1063]) ).

fof(f10585,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f178,f928]) ).

fof(f23814,plain,
    ( spl20_98
    | spl20_113
    | spl20_4
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(avatar_split_clause,[],[f23683,f498,f489,f403,f927,f860]) ).

fof(f23683,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(duplicate_literal_removal,[],[f2367]) ).

fof(f2367,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f1692,f491]) ).

fof(f1692,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f167,f500]) ).

fof(f23805,plain,
    ( spl20_97
    | spl20_2
    | spl20_1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f23730,f860,f498,f489,f388,f393,f856]) ).

fof(f23730,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f21103,f861]) ).

fof(f21103,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(duplicate_literal_removal,[],[f6272]) ).

fof(f6272,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f1700,f491]) ).

fof(f23682,plain,
    ( spl20_5
    | ~ spl20_98
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f18651,f923,f860,f408]) ).

fof(f18651,plain,
    ( e1 = e3
    | ~ spl20_98
    | ~ spl20_112 ),
    inference(superposition,[],[f861,f924]) ).

fof(f23601,plain,
    ( spl20_6
    | ~ spl20_100
    | ~ spl20_104
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f23314,f3579,f1124,f886,f869,f413]) ).

fof(f23314,plain,
    ( e2 = e3
    | ~ spl20_100
    | ~ spl20_104
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f19030,f887]) ).

fof(f19030,plain,
    ( e3 = op(e1,e0)
    | ~ spl20_100
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1125,f14546]) ).

fof(f23429,plain,
    ( spl20_19
    | spl20_5
    | spl20_3
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f23391,f1171,f869,f851,f398,f408,f471]) ).

fof(f23391,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f23390]) ).

fof(f23390,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f23389,f1173]) ).

fof(f23389,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_96
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f21310,f852]) ).

fof(f21310,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f179,f870]) ).

fof(f23388,plain,
    ( spl20_1
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f23383,f3579,f3550,f953,f869,f570,f489,f388]) ).

fof(f953,plain,
    ( spl20_119
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).

fof(f23383,plain,
    ( e0 = e1
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f23382]) ).

fof(f23382,plain,
    ( e0 = e1
    | e0 = e1
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23381,f23319]) ).

fof(f23319,plain,
    ( e0 = op(e2,e0)
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17001,f23092]) ).

fof(f23092,plain,
    ( e2 = e3
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f14602,f954]) ).

fof(f954,plain,
    ( e2 = op(e0,e1)
    | ~ spl20_119 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f14602,plain,
    ( e3 = op(e0,e1)
    | ~ spl20_100
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f3551,f14546]) ).

fof(f17001,plain,
    ( e0 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f870,f14546]) ).

fof(f23381,plain,
    ( e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f23380]) ).

fof(f23380,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23379,f14546]) ).

fof(f23379,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23378,f954]) ).

fof(f23378,plain,
    ( e1 = op(e0,e1)
    | e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23377,f14546]) ).

fof(f23377,plain,
    ( e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f23376]) ).

fof(f23376,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23375,f572]) ).

fof(f23375,plain,
    ( op(e0,e0) = e1
    | e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23374,f14546]) ).

fof(f23374,plain,
    ( e1 = op(e2,e2)
    | e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_119
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f23373,f23092]) ).

fof(f23373,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f5744,f14546]) ).

fof(f5744,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f167,f491]) ).

fof(f23250,plain,
    ( spl20_114
    | spl20_100
    | spl20_3
    | spl20_1
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f23204,f1124,f936,f388,f398,f869,f931]) ).

fof(f23204,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f23203,f937]) ).

fof(f23203,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f166,f1125]) ).

fof(f23217,plain,
    ( spl20_19
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_96
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f23144,f3579,f1171,f851,f408,f413,f398,f471]) ).

fof(f23144,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_96
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17454,f852]) ).

fof(f17454,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f12226,f3581]) ).

fof(f12226,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f179,f1173]) ).

fof(f23213,plain,
    ( spl20_114
    | spl20_97
    | spl20_3
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f23207,f3550,f923,f398,f856,f931]) ).

fof(f23207,plain,
    ( e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f23206]) ).

fof(f23206,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f21402,f924]) ).

fof(f21402,plain,
    ( e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e0)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f165,f3551]) ).

fof(f23202,plain,
    ( spl20_100
    | spl20_3
    | spl20_1
    | ~ spl20_95
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f23139,f1124,f936,f846,f388,f398,f869]) ).

fof(f23139,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_95
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f23138]) ).

fof(f23138,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_95
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f23137,f937]) ).

fof(f23137,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_95
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13421,f847]) ).

fof(f13421,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f166,f1125]) ).

fof(f23132,plain,
    ( spl20_1
    | ~ spl20_41
    | ~ spl20_95
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f23065,f3579,f869,f846,f570,f388]) ).

fof(f23065,plain,
    ( e0 = e1
    | ~ spl20_41
    | ~ spl20_95
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15137,f572]) ).

fof(f15137,plain,
    ( op(e0,e0) = e1
    | ~ spl20_95
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f847,f14546]) ).

fof(f23015,plain,
    ( ~ spl20_95
    | ~ spl20_112
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f23000,f1167,f923,f846]) ).

fof(f23000,plain,
    ( e1 != op(e2,e2)
    | ~ spl20_112
    | ~ spl20_130 ),
    inference(trivial_inequality_removal,[],[f22999]) ).

fof(f22999,plain,
    ( e0 != e0
    | e1 != op(e2,e2)
    | ~ spl20_112
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f22546,f1169]) ).

fof(f22546,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,e1)
    | ~ spl20_112 ),
    inference(trivial_inequality_removal,[],[f21015]) ).

fof(f21015,plain,
    ( e3 != e3
    | e1 != op(e2,e2)
    | e0 != op(e2,e1)
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f350,f924]) ).

fof(f350,plain,
    ( e1 != op(e2,e2)
    | e3 != op(e2,e0)
    | e0 != op(e2,e1) ),
    inference(inner_rewriting,[],[f349]) ).

fof(f349,plain,
    ( e1 != op(e2,e2)
    | e3 != op(e2,op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(inner_rewriting,[],[f304]) ).

fof(f304,plain,
    ( e1 != op(e2,e2)
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e1 != op(e2,e2)
    | e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(e2,op(e2,op(e2,e2)))
      & e0 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f22995,plain,
    ( spl20_95
    | spl20_113
    | spl20_1
    | spl20_5
    | ~ spl20_112
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f19473,f1167,f923,f408,f388,f927,f846]) ).

fof(f19473,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_112
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f19279,f924]) ).

fof(f19279,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f167,f1169]) ).

fof(f22987,plain,
    ( spl20_130
    | spl20_131
    | spl20_1
    | spl20_2
    | ~ spl20_11
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f6393,f953,f435,f393,f388,f1171,f1167]) ).

fof(f6393,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f6392,f954]) ).

fof(f6392,plain,
    ( e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e0,e1)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f158,f437]) ).

fof(f22881,plain,
    ( spl20_133
    | spl20_13
    | spl20_6
    | spl20_5
    | ~ spl20_21
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f20933,f949,f480,f408,f413,f444,f1864]) ).

fof(f20933,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f16174,f950]) ).

fof(f16174,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f180,f482]) ).

fof(f22862,plain,
    ( spl20_114
    | spl20_97
    | spl20_3
    | spl20_2
    | ~ spl20_27
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f18694,f3550,f507,f393,f398,f856,f931]) ).

fof(f18694,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f18568,f509]) ).

fof(f18568,plain,
    ( e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e0)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f165,f3551]) ).

fof(f22804,plain,
    ( spl20_13
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f21719,f949,f882,f480,f408,f398,f413,f444]) ).

fof(f21719,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f5061,f950]) ).

fof(f5061,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f2244,f883]) ).

fof(f2244,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f180,f482]) ).

fof(f22769,plain,
    ( spl20_113
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_27
    | ~ spl20_114
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f22713,f3550,f931,f507,f388,f408,f403,f927]) ).

fof(f22713,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_114
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f21602,f932]) ).

fof(f21602,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f20668,f3551]) ).

fof(f20668,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f167,f509]) ).

fof(f22671,plain,
    ( ~ spl20_20
    | ~ spl20_29
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f22562,f890,f516,f476]) ).

fof(f476,plain,
    ( spl20_20
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f22562,plain,
    ( e1 != op(e1,e3)
    | ~ sP11
    | ~ spl20_105 ),
    inference(trivial_inequality_removal,[],[f22561]) ).

fof(f22561,plain,
    ( e3 != e3
    | e1 != op(e1,e3)
    | ~ sP11
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f239,f891]) ).

fof(f239,plain,
    ( e1 != op(e1,e3)
    | e3 != op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e2 = op(e2,e3) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e2 = op(e2,e3) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f22527,plain,
    ( spl20_97
    | spl20_2
    | spl20_3
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f22426,f864,f507,f498,f398,f393,f856]) ).

fof(f22426,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f20226,f865]) ).

fof(f20226,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f1701]) ).

fof(f22444,plain,
    ( ~ spl20_32
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20775,f570,f530]) ).

fof(f20775,plain,
    ( ~ sP4
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20202]) ).

fof(f22358,plain,
    ( spl20_21
    | spl20_102
    | spl20_6
    | spl20_4
    | ~ spl20_118
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f16256,f1864,f949,f403,f413,f877,f480]) ).

fof(f16256,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_118
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4534,f950]) ).

fof(f4534,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f178,f1866]) ).

fof(f22348,plain,
    ( spl20_137
    | spl20_102
    | spl20_4
    | spl20_2
    | ~ spl20_56
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f4055,f1012,f648,f393,f403,f877,f3579]) ).

fof(f4055,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | ~ spl20_56
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1656,f1014]) ).

fof(f1656,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f177,f649]) ).

fof(f22346,plain,
    ( spl20_102
    | spl20_4
    | spl20_2
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f22268,f1012,f914,f648,f393,f403,f877]) ).

fof(f22268,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f22267,f1014]) ).

fof(f22267,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f22266]) ).

fof(f22266,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f19423,f649]) ).

fof(f19423,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f177,f915]) ).

fof(f22214,plain,
    ( spl20_133
    | spl20_5
    | spl20_6
    | ~ spl20_21
    | ~ spl20_102
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f22135,f949,f877,f480,f413,f408,f1864]) ).

fof(f22135,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_102
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f22134]) ).

fof(f22134,plain,
    ( e2 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_102
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f20933,f878]) ).

fof(f22213,plain,
    ( ~ spl20_20
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f334,f444,f476]) ).

fof(f334,plain,
    ( e3 != op(e3,e3)
    | ~ sP11 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f22144,plain,
    ( ~ spl20_32
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20775,f570,f530]) ).

fof(f22088,plain,
    ( spl20_103
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_33
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f21987,f1124,f904,f534,f388,f398,f393,f882]) ).

fof(f21987,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e1,e3)
    | ~ spl20_33
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f20428,f536]) ).

fof(f536,plain,
    ( e1 = op(e1,e0)
    | ~ spl20_33 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f20428,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13854,f1125]) ).

fof(f13854,plain,
    ( e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0)
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f157,f905]) ).

fof(f22080,plain,
    ( spl20_27
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_113
    | ~ spl20_114
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f21974,f3550,f931,f927,f393,f413,f403,f507]) ).

fof(f21974,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e2,e0)
    | ~ spl20_113
    | ~ spl20_114
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f15862,f932]) ).

fof(f15862,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_113
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f4070,f3551]) ).

fof(f4070,plain,
    ( e1 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f169,f928]) ).

fof(f22078,plain,
    ( ~ spl20_96
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f21634,f1171,f910,f851]) ).

fof(f21634,plain,
    ( e1 != op(e3,e3)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(trivial_inequality_removal,[],[f11347]) ).

fof(f11347,plain,
    ( e0 != e0
    | e1 != op(e3,e3)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f11346,f1173]) ).

fof(f11346,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,e1)
    | ~ spl20_109 ),
    inference(trivial_inequality_removal,[],[f11345]) ).

fof(f11345,plain,
    ( e2 != e2
    | e1 != op(e3,e3)
    | e0 != op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f346,f911]) ).

fof(f346,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,e0)
    | e0 != op(e3,e1) ),
    inference(inner_rewriting,[],[f345]) ).

fof(f345,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e1))
    | e0 != op(e3,e1) ),
    inference(inner_rewriting,[],[f302]) ).

fof(f302,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e1 = op(e3,e3)
      & e2 = op(e3,op(e3,op(e3,e3)))
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f21920,plain,
    ( spl20_103
    | spl20_111
    | spl20_2
    | spl20_3
    | ~ spl20_21
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f20066,f1061,f480,f398,f393,f918,f882]) ).

fof(f20066,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f16343,f1063]) ).

fof(f16343,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f174,f482]) ).

fof(f21915,plain,
    ( spl20_97
    | spl20_3
    | spl20_1
    | ~ spl20_54
    | ~ spl20_95
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f21829,f923,f846,f637,f388,f398,f856]) ).

fof(f21829,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_95
    | ~ spl20_112 ),
    inference(duplicate_literal_removal,[],[f21828]) ).

fof(f21828,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e3
    | e0 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_95
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f18825,f638]) ).

fof(f18825,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | ~ spl20_95
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f18128,f847]) ).

fof(f18128,plain,
    ( e0 = e3
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f165,f924]) ).

fof(f21876,plain,
    ( spl20_133
    | spl20_6
    | spl20_5
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f21818,f949,f851,f480,f408,f413,f1864]) ).

fof(f21818,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f21817]) ).

fof(f21817,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f21816,f950]) ).

fof(f21816,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f16075,f482]) ).

fof(f16075,plain,
    ( e1 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f180,f852]) ).

fof(f21773,plain,
    ( spl20_13
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_109
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f21660,f1171,f914,f910,f408,f413,f398,f444]) ).

fof(f21660,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | ~ spl20_109
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f21527,f915]) ).

fof(f21527,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f12226,f911]) ).

fof(f21631,plain,
    ( spl20_100
    | spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_19
    | ~ spl20_56 ),
    inference(avatar_split_clause,[],[f14243,f648,f471,f388,f398,f918,f869]) ).

fof(f14243,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_19
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f7977,f649]) ).

fof(f7977,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f173,f473]) ).

fof(f21581,plain,
    ( spl20_135
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f12599,f890,f882,f534,f413,f393,f403,f2159]) ).

fof(f12599,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f12598,f891]) ).

fof(f12598,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f12411,f883]) ).

fof(f12411,plain,
    ( e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f161,f536]) ).

fof(f21551,plain,
    ( spl20_132
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f21538,f896,f890,f534,f413,f403,f393,f1687]) ).

fof(f21538,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f19883,f891]) ).

fof(f19883,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f17468,f536]) ).

fof(f17468,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f161,f897]) ).

fof(f21537,plain,
    ( spl20_106
    | spl20_103
    | spl20_3
    | spl20_1
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f20130,f890,f534,f388,f398,f882,f896]) ).

fof(f20130,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f11099,f536]) ).

fof(f11099,plain,
    ( e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0)
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f157,f891]) ).

fof(f21518,plain,
    ( spl20_3
    | ~ spl20_105
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f9782,f1128,f890,f398]) ).

fof(f9782,plain,
    ( e0 = e3
    | ~ spl20_105
    | ~ spl20_129 ),
    inference(superposition,[],[f1129,f891]) ).

fof(f21404,plain,
    ( spl20_102
    | spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_19
    | ~ spl20_56
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f21355,f869,f648,f471,f403,f393,f413,f877]) ).

fof(f21355,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_56
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f18845,f649]) ).

fof(f18845,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f15959,f870]) ).

fof(f21399,plain,
    ( spl20_31
    | spl20_5
    | spl20_1
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f21334,f1057,f931,f869,f388,f408,f525]) ).

fof(f21334,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e1,e2)
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(duplicate_literal_removal,[],[f21333]) ).

fof(f21333,plain,
    ( e0 = e1
    | e1 = e3
    | e0 = e1
    | e1 = op(e1,e2)
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f3443,f870]) ).

fof(f3443,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e2)
    | e1 = op(e1,e2)
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f3442,f1059]) ).

fof(f3442,plain,
    ( e0 = e1
    | e1 = op(e3,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f168,f932]) ).

fof(f21294,plain,
    ( spl20_112
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_33
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f20831,f910,f570,f534,f413,f398,f408,f923]) ).

fof(f20831,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_33
    | ~ spl20_41
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f20214,f911]) ).

fof(f20214,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | ~ spl20_33
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f20213,f572]) ).

fof(f20213,plain,
    ( e1 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f156,f536]) ).

fof(f21281,plain,
    ( spl20_95
    | spl20_4
    | spl20_1
    | spl20_5
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f21194,f923,f856,f498,f408,f388,f403,f846]) ).

fof(f21194,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = e2
    | e1 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f20833,f924]) ).

fof(f20833,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f19874,f857]) ).

fof(f21257,plain,
    ( spl20_96
    | spl20_1
    | spl20_4
    | ~ spl20_97
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f21160,f1687,f1027,f856,f403,f388,f851]) ).

fof(f21160,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_97
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f21159]) ).

fof(f21159,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_97
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f14879,f1688]) ).

fof(f14879,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_97
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f1288,f1029]) ).

fof(f1288,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f176,f857]) ).

fof(f21089,plain,
    ( spl20_111
    | spl20_2
    | spl20_1
    | ~ spl20_21
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f21034,f1687,f949,f480,f388,f393,f918]) ).

fof(f21034,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f5328,f950]) ).

fof(f5328,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f5327]) ).

fof(f5327,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2722,f482]) ).

fof(f21006,plain,
    ( ~ spl20_7
    | ~ spl20_114
    | spl20_27 ),
    inference(avatar_split_clause,[],[f215,f507,f931,f418]) ).

fof(f215,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f20870,plain,
    ( spl20_1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_41
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f20847,f1167,f856,f570,f498,f489,f388]) ).

fof(f20847,plain,
    ( e0 = e1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_41
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f20846]) ).

fof(f20846,plain,
    ( e0 = e1
    | e0 = e1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_41
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f20845,f572]) ).

fof(f20845,plain,
    ( op(e0,e0) = e1
    | e0 = e1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f20844,f1738]) ).

fof(f20844,plain,
    ( e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f20843]) ).

fof(f20843,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f20842,f1169]) ).

fof(f20842,plain,
    ( e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f20841]) ).

fof(f20841,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f6871,f1738]) ).

fof(f6871,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5744,f857]) ).

fof(f20750,plain,
    ( spl20_41
    | spl20_123
    | spl20_2
    | spl20_1
    | ~ spl20_27
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f20302,f534,f507,f388,f393,f1012,f570]) ).

fof(f20302,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e0,e0)
    | ~ spl20_27
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f20301,f536]) ).

fof(f20737,plain,
    ( spl20_123
    | spl20_111
    | spl20_3
    | spl20_2
    | ~ spl20_17
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f15533,f3579,f462,f393,f398,f918,f1012]) ).

fof(f15533,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1138,f3581]) ).

fof(f20725,plain,
    ( spl20_23
    | spl20_137
    | spl20_6
    | spl20_4
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f16496,f1124,f936,f403,f413,f3579,f489]) ).

fof(f16496,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13552,f937]) ).

fof(f13552,plain,
    ( e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e0,e2)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f170,f1125]) ).

fof(f20651,plain,
    ( spl20_101
    | spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_17
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f9660,f869,f462,f388,f408,f851,f873]) ).

fof(f9660,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f1229,f870]) ).

fof(f20626,plain,
    ( spl20_19
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_27
    | ~ spl20_33
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20517,f570,f534,f507,f413,f398,f408,f471]) ).

fof(f20517,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_33
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f20214,f509]) ).

fof(f20586,plain,
    ( spl20_15
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_95
    | ~ spl20_106
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f20514,f1023,f896,f846,f413,f408,f398,f453]) ).

fof(f20514,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e3,e2)
    | ~ spl20_95
    | ~ spl20_106
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f20513,f1025]) ).

fof(f20513,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e2)
    | e3 = op(e0,e2)
    | ~ spl20_95
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f14217,f847]) ).

fof(f14217,plain,
    ( e0 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e0,e2)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f172,f897]) ).

fof(f20529,plain,
    ( spl20_3
    | ~ spl20_41
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f9286,f957,f570,f398]) ).

fof(f9286,plain,
    ( e0 = e3
    | ~ spl20_41
    | ~ spl20_120 ),
    inference(superposition,[],[f958,f572]) ).

fof(f20519,plain,
    ( ~ spl20_32
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20203,f570,f530]) ).

fof(f20203,plain,
    ( ~ sP4
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20202]) ).

fof(f20500,plain,
    ( spl20_106
    | spl20_100
    | spl20_1
    | spl20_2
    | ~ spl20_95
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f20165,f1023,f846,f393,f388,f869,f896]) ).

fof(f20165,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f18286,f1025]) ).

fof(f18286,plain,
    ( e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f166,f847]) ).

fof(f20484,plain,
    ( spl20_102
    | spl20_4
    | spl20_2
    | ~ spl20_100
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f20476,f1171,f873,f869,f393,f403,f877]) ).

fof(f20476,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_100
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f20475]) ).

fof(f20475,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_100
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f13932,f870]) ).

fof(f13932,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1523,f874]) ).

fof(f1523,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f177,f1173]) ).

fof(f20474,plain,
    ( spl20_101
    | spl20_96
    | spl20_1
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f16928,f1171,f869,f388,f851,f873]) ).

fof(f16928,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f14925]) ).

fof(f14925,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f11354,f870]) ).

fof(f11354,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f175,f1173]) ).

fof(f20369,plain,
    ( ~ spl20_26
    | ~ spl20_129
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f20309,f534,f1128,f503]) ).

fof(f20309,plain,
    ( e0 != op(e1,e1)
    | ~ sP8
    | ~ spl20_33 ),
    inference(trivial_inequality_removal,[],[f20308]) ).

fof(f20308,plain,
    ( e1 != e1
    | e0 != op(e1,e1)
    | ~ sP8
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f254,f536]) ).

fof(f254,plain,
    ( e1 != op(e1,e0)
    | e0 != op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f20340,plain,
    ( ~ spl20_34
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f16327,f957,f543,f539]) ).

fof(f539,plain,
    ( spl20_34
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).

fof(f16327,plain,
    ( ~ sP3
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f11360]) ).

fof(f11360,plain,
    ( e3 != e3
    | ~ sP3
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f11359,f958]) ).

fof(f11359,plain,
    ( op(e0,e0) != e3
    | ~ sP3
    | ~ spl20_35 ),
    inference(trivial_inequality_removal,[],[f11358]) ).

fof(f11358,plain,
    ( e0 != e0
    | op(e0,e0) != e3
    | ~ sP3
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f278,f545]) ).

fof(f278,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP3 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e0 = op(e0,e3) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e0 = op(e0,e3) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f20291,plain,
    ( spl20_3
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f4582,f1061,f543,f398]) ).

fof(f4582,plain,
    ( e0 = e3
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(superposition,[],[f1063,f545]) ).

fof(f20223,plain,
    ( ~ spl20_26
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20222,f570,f503]) ).

fof(f20222,plain,
    ( ~ sP8
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20221]) ).

fof(f20220,plain,
    ( ~ spl20_40
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20219,f570,f566]) ).

fof(f566,plain,
    ( spl20_40
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).

fof(f20219,plain,
    ( ~ sP0
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20218]) ).

fof(f20218,plain,
    ( e0 != e0
    | ~ sP0
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f323,f572]) ).

fof(f323,plain,
    ( e0 != op(e0,e0)
    | ~ sP0 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f293,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 != op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f20217,plain,
    ( ~ spl20_18
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20212,f570,f467]) ).

fof(f20212,plain,
    ( ~ sP12
    | ~ spl20_41 ),
    inference(trivial_inequality_removal,[],[f20211]) ).

fof(f20206,plain,
    ( ~ spl20_32
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f20203,f570,f530]) ).

fof(f20192,plain,
    ( spl20_131
    | spl20_111
    | spl20_3
    | spl20_2
    | ~ spl20_15
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f14363,f910,f453,f393,f398,f918,f1171]) ).

fof(f14363,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f3774,f911]) ).

fof(f3774,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f173,f455]) ).

fof(f20182,plain,
    ( spl20_17
    | spl20_15
    | spl20_5
    | spl20_6
    | ~ spl20_96
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f12144,f910,f851,f413,f408,f453,f462]) ).

fof(f12144,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | ~ spl20_96
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f12143,f911]) ).

fof(f12143,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f179,f852]) ).

fof(f20171,plain,
    ( spl20_29
    | spl20_96
    | spl20_5
    | spl20_4
    | ~ spl20_21
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f15691,f1061,f480,f403,f408,f851,f516]) ).

fof(f15691,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f7617,f482]) ).

fof(f7617,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f176,f1063]) ).

fof(f20163,plain,
    ( spl20_128
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_95
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f20138,f1023,f869,f846,f413,f398,f408,f1124]) ).

fof(f20138,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f20137,f1025]) ).

fof(f20137,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_95
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f16959,f870]) ).

fof(f16959,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f172,f847]) ).

fof(f20124,plain,
    ( spl20_103
    | spl20_3
    | spl20_1
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f20025,f1124,f890,f534,f388,f398,f882]) ).

fof(f20025,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e1,e3)
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f19350,f536]) ).

fof(f19350,plain,
    ( e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_105
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f16565]) ).

fof(f16565,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_105
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f11099,f1125]) ).

fof(f19978,plain,
    ( spl20_110
    | spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_17
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f3499,f1012,f462,f388,f408,f851,f914]) ).

fof(f3499,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1229,f1014]) ).

fof(f19963,plain,
    ( spl20_105
    | spl20_136
    | spl20_17
    | spl20_5
    | ~ spl20_50 ),
    inference(avatar_split_clause,[],[f12554,f616,f408,f462,f3550,f890]) ).

fof(f12554,plain,
    ( e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f164,f617]) ).

fof(f19937,plain,
    ( spl20_112
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_33
    | ~ spl20_117
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f19928,f1012,f944,f534,f408,f398,f413,f923]) ).

fof(f19928,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_33
    | ~ spl20_117
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f18665,f536]) ).

fof(f18665,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_117
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f17934,f1014]) ).

fof(f17934,plain,
    ( e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f156,f945]) ).

fof(f19927,plain,
    ( spl20_122
    | spl20_123
    | spl20_2
    | spl20_1
    | ~ spl20_33
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f19870,f944,f534,f388,f393,f1012,f1008]) ).

fof(f19870,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | ~ spl20_33
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17936,f536]) ).

fof(f17936,plain,
    ( e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f150,f945]) ).

fof(f19925,plain,
    ( ~ spl20_37
    | ~ spl20_35
    | spl20_75 ),
    inference(avatar_split_clause,[],[f6073,f743,f543,f552]) ).

fof(f743,plain,
    ( spl20_75
  <=> op(e0,e2) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).

fof(f6073,plain,
    ( e0 != op(e0,e2)
    | ~ spl20_35
    | spl20_75 ),
    inference(superposition,[],[f745,f545]) ).

fof(f745,plain,
    ( op(e0,e2) != op(e0,e3)
    | spl20_75 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f19924,plain,
    ( spl20_105
    | spl20_136
    | spl20_6
    | spl20_5
    | ~ spl20_50
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f18454,f6967,f616,f408,f413,f3550,f890]) ).

fof(f18454,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7518,f617]) ).

fof(f7518,plain,
    ( e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f164,f6969]) ).

fof(f19916,plain,
    ( spl20_105
    | spl20_136
    | spl20_5
    | spl20_3
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f19787,f1171,f616,f398,f408,f3550,f890]) ).

fof(f19787,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f12554,f1173]) ).

fof(f19913,plain,
    ( spl20_129
    | spl20_103
    | spl20_2
    | spl20_1
    | ~ spl20_33
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16715,f2159,f534,f388,f393,f882,f1128]) ).

fof(f16715,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14124,f536]) ).

fof(f14124,plain,
    ( e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0)
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f157,f2161]) ).

fof(f19903,plain,
    ( spl20_105
    | spl20_133
    | spl20_3
    | spl20_5
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f12413,f896,f534,f408,f398,f1864,f890]) ).

fof(f12413,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f10712,f536]) ).

fof(f10712,plain,
    ( e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f163,f897]) ).

fof(f19879,plain,
    ( spl20_135
    | spl20_23
    | spl20_4
    | spl20_6
    | ~ spl20_110
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f19471,f1057,f914,f413,f403,f489,f2159]) ).

fof(f19471,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | ~ spl20_110
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f13426,f1059]) ).

fof(f13426,plain,
    ( e1 = e2
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f170,f915]) ).

fof(f19878,plain,
    ( spl20_105
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f19835,f1171,f616,f498,f398,f408,f413,f890]) ).

fof(f19835,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f18647,f1173]) ).

fof(f18647,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_25
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f6266,f617]) ).

fof(f6266,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f164,f500]) ).

fof(f19877,plain,
    ( ~ spl20_123
    | spl20_88
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f1177,f1171,f811,f1012]) ).

fof(f811,plain,
    ( spl20_88
  <=> op(e3,e0) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).

fof(f1177,plain,
    ( e0 != op(e3,e0)
    | spl20_88
    | ~ spl20_131 ),
    inference(superposition,[],[f813,f1173]) ).

fof(f813,plain,
    ( op(e3,e0) != op(e3,e1)
    | spl20_88 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f19873,plain,
    ( spl20_132
    | spl20_102
    | spl20_2
    | ~ spl20_35
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f19829,f856,f543,f393,f877,f1687]) ).

fof(f19829,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_97 ),
    inference(duplicate_literal_removal,[],[f19828]) ).

fof(f19828,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f13737,f545]) ).

fof(f13737,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f178,f857]) ).

fof(f19860,plain,
    ( spl20_102
    | spl20_2
    | spl20_4
    | ~ spl20_110
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f19822,f1171,f1012,f914,f403,f393,f877]) ).

fof(f19822,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_110
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f19542,f915]) ).

fof(f19542,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f1524]) ).

fof(f1524,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1523,f1014]) ).

fof(f19805,plain,
    ( spl20_129
    | ~ spl20_110
    | ~ spl20_114
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f19658,f3579,f931,f914,f1128]) ).

fof(f19658,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_110
    | ~ spl20_114
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f932,f19339]) ).

fof(f19339,plain,
    ( e1 = e2
    | ~ spl20_110
    | ~ spl20_137 ),
    inference(superposition,[],[f3581,f915]) ).

fof(f19664,plain,
    ( spl20_129
    | ~ spl20_108
    | ~ spl20_110
    | ~ spl20_131
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f19644,f3579,f3550,f1171,f914,f904,f1128]) ).

fof(f19644,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_108
    | ~ spl20_110
    | ~ spl20_131
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1173,f19598]) ).

fof(f19598,plain,
    ( e1 = e3
    | ~ spl20_108
    | ~ spl20_110
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f19597,f19339]) ).

fof(f19597,plain,
    ( e2 = e3
    | ~ spl20_108
    | ~ spl20_110
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f19596,f905]) ).

fof(f19596,plain,
    ( e3 = op(e1,e1)
    | ~ spl20_110
    | ~ spl20_136
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f3551,f19339]) ).

fof(f19536,plain,
    ( spl20_1
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f2396,f914,f869,f388]) ).

fof(f2396,plain,
    ( e0 = e1
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(superposition,[],[f870,f915]) ).

fof(f19438,plain,
    ( spl20_101
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_112
    | ~ spl20_117
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f19422,f1004,f944,f923,f388,f408,f403,f873]) ).

fof(f19422,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | ~ spl20_112
    | ~ spl20_117
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f19281,f1006]) ).

fof(f19281,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17935,f924]) ).

fof(f17935,plain,
    ( e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f152,f945]) ).

fof(f19408,plain,
    ( spl20_11
    | ~ spl20_110
    | ~ spl20_135
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f19388,f3579,f2159,f914,f435]) ).

fof(f19388,plain,
    ( e1 = op(e1,e1)
    | ~ spl20_110
    | ~ spl20_135
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f2161,f19339]) ).

fof(f19347,plain,
    ( spl20_113
    | spl20_5
    | spl20_1
    | ~ spl20_112
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f19293,f1167,f931,f923,f388,f408,f927]) ).

fof(f19293,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e2,e3)
    | ~ spl20_112
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f19292]) ).

fof(f19292,plain,
    ( e0 = e1
    | e1 = e3
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_112
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f18160,f1169]) ).

fof(f18160,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_112
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2858,f924]) ).

fof(f2858,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f167,f932]) ).

fof(f19264,plain,
    ( spl20_11
    | ~ spl20_17
    | ~ spl20_98
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f19245,f923,f860,f462,f435]) ).

fof(f19245,plain,
    ( e1 = op(e1,e1)
    | ~ spl20_17
    | ~ spl20_98
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f464,f18651]) ).

fof(f19197,plain,
    ( spl20_137
    | spl20_102
    | spl20_2
    | spl20_6
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17818,f1171,f471,f413,f393,f877,f3579]) ).

fof(f17818,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1523,f473]) ).

fof(f19166,plain,
    ( spl20_107
    | spl20_128
    | spl20_5
    | spl20_6
    | ~ spl20_29
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f16874,f904,f516,f413,f408,f1124,f900]) ).

fof(f16874,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f1505,f905]) ).

fof(f1505,plain,
    ( e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f163,f518]) ).

fof(f19135,plain,
    ( spl20_2
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f18367,f2159,f896,f393]) ).

fof(f18367,plain,
    ( e0 = e2
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(superposition,[],[f897,f2161]) ).

fof(f19053,plain,
    ( spl20_3
    | ~ spl20_100
    | ~ spl20_121
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f19024,f3579,f1124,f1004,f869,f398]) ).

fof(f19024,plain,
    ( e0 = e3
    | ~ spl20_100
    | ~ spl20_121
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15103,f1006]) ).

fof(f15103,plain,
    ( e3 = op(e1,e0)
    | ~ spl20_100
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1125,f14546]) ).

fof(f18935,plain,
    ( spl20_25
    | spl20_6
    | spl20_4
    | ~ spl20_50
    | ~ spl20_56
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f18920,f890,f648,f616,f403,f413,f498]) ).

fof(f18920,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_56
    | ~ spl20_105 ),
    inference(duplicate_literal_removal,[],[f18919]) ).

fof(f18919,plain,
    ( e1 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_56
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f14233,f617]) ).

fof(f14233,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f13638,f891]) ).

fof(f13638,plain,
    ( e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f162,f649]) ).

fof(f18916,plain,
    ( spl20_56
    | spl20_96
    | spl20_1
    | spl20_5
    | ~ spl20_19
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f14542,f869,f471,f408,f388,f851,f648]) ).

fof(f14542,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f9621,f473]) ).

fof(f18886,plain,
    ( spl20_105
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_29
    | ~ spl20_121
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f18818,f2159,f1004,f516,f413,f408,f398,f890]) ).

fof(f18818,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_121
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f6601,f2161]) ).

fof(f6601,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2070,f518]) ).

fof(f18810,plain,
    ( spl20_123
    | spl20_3
    | spl20_2
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f18750,f944,f900,f507,f393,f398,f1012]) ).

fof(f18750,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f18749]) ).

fof(f18749,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_107
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f18446,f509]) ).

fof(f18446,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | ~ spl20_107
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17936,f901]) ).

fof(f18791,plain,
    ( spl20_111
    | spl20_1
    | spl20_2
    | ~ spl20_101
    | ~ spl20_110
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f18745,f6967,f914,f873,f393,f388,f918]) ).

fof(f18745,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_101
    | ~ spl20_110
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f17901,f6969]) ).

fof(f17901,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_101
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f13328]) ).

fof(f13328,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_101
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f12372,f874]) ).

fof(f12372,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f173,f915]) ).

fof(f18727,plain,
    ( spl20_107
    | spl20_19
    | spl20_6
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f18700,f944,f507,f413,f471,f900]) ).

fof(f18700,plain,
    ( e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f18699]) ).

fof(f18699,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17934,f509]) ).

fof(f18720,plain,
    ( spl20_33
    | spl20_101
    | spl20_4
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f18698,f944,f507,f403,f873,f534]) ).

fof(f18698,plain,
    ( e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f18697]) ).

fof(f18697,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17935,f509]) ).

fof(f18685,plain,
    ( spl20_4
    | ~ spl20_27
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f18684,f860,f507,f403]) ).

fof(f18684,plain,
    ( e1 = e2
    | ~ spl20_27
    | ~ spl20_98 ),
    inference(forward_demodulation,[],[f509,f861]) ).

fof(f18657,plain,
    ( spl20_114
    | spl20_97
    | spl20_2
    | spl20_3
    | ~ spl20_25
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f18625,f923,f498,f398,f393,f856,f931]) ).

fof(f18625,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f1700,f924]) ).

fof(f18650,plain,
    ( spl20_33
    | spl20_98
    | spl20_1
    | spl20_4
    | ~ spl20_117
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f18602,f1012,f944,f403,f388,f860,f534]) ).

fof(f18602,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | ~ spl20_117
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1070,f945]) ).

fof(f1070,plain,
    ( e0 = e1
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f152,f1014]) ).

fof(f18644,plain,
    ( spl20_17
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f18618,f1128,f616,f498,f398,f408,f413,f462]) ).

fof(f18618,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | ~ spl20_25
    | ~ spl20_50
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f14039,f1129]) ).

fof(f14039,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_25
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f6266,f617]) ).

fof(f18591,plain,
    ( spl20_110
    | spl20_96
    | spl20_5
    | spl20_4
    | ~ spl20_19
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f15793,f6967,f471,f403,f408,f851,f914]) ).

fof(f15793,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_19
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7978,f6969]) ).

fof(f18580,plain,
    ( spl20_129
    | spl20_131
    | spl20_1
    | spl20_3
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f13975,f3550,f616,f398,f388,f1171,f1128]) ).

fof(f13975,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f12553,f3551]) ).

fof(f12553,plain,
    ( e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f158,f617]) ).

fof(f18577,plain,
    ( spl20_111
    | spl20_3
    | spl20_2
    | ~ spl20_19
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f18554,f6967,f3579,f471,f393,f398,f918]) ).

fof(f18554,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f18553]) ).

fof(f18553,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f15794,f3581]) ).

fof(f15794,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_19
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7977,f6969]) ).

fof(f18566,plain,
    ( spl20_3
    | ~ spl20_130
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f18565,f3550,f1167,f398]) ).

fof(f18565,plain,
    ( e0 = e3
    | ~ spl20_130
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f3551,f1169]) ).

fof(f18548,plain,
    ( spl20_128
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_29
    | ~ spl20_108
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f18518,f1004,f904,f516,f398,f413,f408,f1124]) ).

fof(f18518,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_108
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f16874,f1006]) ).

fof(f18509,plain,
    ( spl20_121
    | spl20_123
    | spl20_2
    | spl20_3
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f18290,f944,f923,f398,f393,f1012,f1004]) ).

fof(f18290,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | e0 = op(e1,e0)
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17936,f924]) ).

fof(f18489,plain,
    ( spl20_112
    | spl20_136
    | spl20_99
    | spl20_6
    | ~ spl20_21 ),
    inference(avatar_split_clause,[],[f2446,f480,f413,f864,f3550,f923]) ).

fof(f2446,plain,
    ( e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f171,f482]) ).

fof(f18462,plain,
    ( spl20_101
    | spl20_96
    | spl20_5
    | spl20_4
    | ~ spl20_15
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f8094,f6967,f453,f403,f408,f851,f873]) ).

fof(f8094,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f2024,f6969]) ).

fof(f2024,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f175,f455]) ).

fof(f18452,plain,
    ( spl20_109
    | spl20_138
    | spl20_102
    | spl20_6
    | ~ spl20_15 ),
    inference(avatar_split_clause,[],[f2025,f453,f413,f877,f6967,f910]) ).

fof(f2025,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f177,f455]) ).

fof(f18448,plain,
    ( spl20_95
    | spl20_110
    | spl20_4
    | spl20_5
    | ~ spl20_126
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f18431,f2159,f1057,f408,f403,f914,f846]) ).

fof(f18431,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f15543,f1059]) ).

fof(f15543,plain,
    ( e1 = e2
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e0,e2)
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f168,f2161]) ).

fof(f18445,plain,
    ( spl20_123
    | spl20_2
    | spl20_3
    | ~ spl20_107
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f18441,f944,f923,f900,f398,f393,f1012]) ).

fof(f18441,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | ~ spl20_107
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f18440]) ).

fof(f18440,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e0)
    | ~ spl20_107
    | ~ spl20_112
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f18290,f901]) ).

fof(f18430,plain,
    ( spl20_105
    | spl20_17
    | spl20_5
    | ~ spl20_50
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f18399,f2159,f896,f616,f408,f462,f890]) ).

fof(f18399,plain,
    ( e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f18398]) ).

fof(f18398,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f18397,f617]) ).

fof(f18397,plain,
    ( e3 = op(e0,e1)
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f12554,f18367]) ).

fof(f18394,plain,
    ( spl20_131
    | spl20_3
    | spl20_1
    | ~ spl20_50
    | ~ spl20_105
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f18379,f2159,f896,f890,f616,f388,f398,f1171]) ).

fof(f18379,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_105
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f18378,f617]) ).

fof(f18378,plain,
    ( e0 = op(e0,e1)
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_105
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f18377]) ).

fof(f18377,plain,
    ( e0 = op(e0,e1)
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_105
    | ~ spl20_106
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14221,f18367]) ).

fof(f14221,plain,
    ( e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e0,e1)
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f158,f891]) ).

fof(f18374,plain,
    ( spl20_107
    | spl20_105
    | spl20_3
    | spl20_5
    | ~ spl20_29
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f14187,f896,f516,f408,f398,f890,f900]) ).

fof(f14187,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f6296,f518]) ).

fof(f18359,plain,
    ( spl20_106
    | spl20_100
    | spl20_1
    | spl20_3
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f18287,f1057,f846,f398,f388,f869,f896]) ).

fof(f18287,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f18286,f1059]) ).

fof(f18351,plain,
    ( spl20_135
    | spl20_137
    | spl20_4
    | spl20_6
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f18285,f1057,f846,f413,f403,f3579,f2159]) ).

fof(f18285,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e1,e2)
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f18284,f1059]) ).

fof(f18344,plain,
    ( spl20_109
    | spl20_102
    | spl20_2
    | spl20_6
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f10426,f1171,f453,f413,f393,f877,f910]) ).

fof(f10426,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1523,f455]) ).

fof(f18283,plain,
    ( spl20_6
    | ~ spl20_15
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f18205,f3579,f453,f413]) ).

fof(f18205,plain,
    ( e2 = e3
    | ~ spl20_15
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f455,f3581]) ).

fof(f18209,plain,
    ( spl20_1
    | ~ spl20_95
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f18163,f931,f846,f388]) ).

fof(f18163,plain,
    ( e0 = e1
    | ~ spl20_95
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f847,f932]) ).

fof(f18105,plain,
    ( spl20_97
    | spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_29
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f5698,f1061,f516,f388,f398,f918,f856]) ).

fof(f5698,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f4625,f518]) ).

fof(f4625,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f174,f1063]) ).

fof(f18096,plain,
    ( spl20_111
    | spl20_1
    | spl20_2
    | spl20_3
    | ~ spl20_21
    | ~ spl20_29
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f17980,f1061,f516,f480,f398,f393,f388,f918]) ).

fof(f17980,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_29
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f17979,f1063]) ).

fof(f17979,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f5968,f482]) ).

fof(f5968,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f174,f518]) ).

fof(f18078,plain,
    ( spl20_112
    | spl20_136
    | spl20_6
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f7802,f489,f480,f413,f3550,f923]) ).

fof(f7802,plain,
    ( e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(duplicate_literal_removal,[],[f4639]) ).

fof(f4639,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f2446,f491]) ).

fof(f18070,plain,
    ( spl20_105
    | spl20_3
    | spl20_5
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17963,f1171,f637,f616,f408,f398,f890]) ).

fof(f17963,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f17962]) ).

fof(f17962,plain,
    ( e1 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f16813,f638]) ).

fof(f16813,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f11777,f617]) ).

fof(f11777,plain,
    ( e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f164,f1173]) ).

fof(f18069,plain,
    ( spl20_102
    | spl20_2
    | spl20_4
    | ~ spl20_101
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17951,f1171,f914,f873,f403,f393,f877]) ).

fof(f17951,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_101
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f17950]) ).

fof(f17950,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_101
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f13932,f915]) ).

fof(f17882,plain,
    ( spl20_110
    | spl20_5
    | spl20_1
    | ~ spl20_37
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f17710,f1124,f864,f552,f388,f408,f914]) ).

fof(f17710,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e2)
    | ~ spl20_37
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f17709,f554]) ).

fof(f17709,plain,
    ( e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f17708]) ).

fof(f17708,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13549,f865]) ).

fof(f17842,plain,
    ( spl20_111
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_21
    | ~ spl20_118
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f17831,f1864,f949,f480,f388,f398,f393,f918]) ).

fof(f17831,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_118
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f16312,f950]) ).

fof(f16312,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4268,f1866]) ).

fof(f4268,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f174,f482]) ).

fof(f17840,plain,
    ( ~ spl20_50
    | spl20_74
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f16163,f949,f738,f616]) ).

fof(f738,plain,
    ( spl20_74
  <=> op(e0,e1) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).

fof(f16163,plain,
    ( e1 != op(e0,e1)
    | spl20_74
    | ~ spl20_118 ),
    inference(superposition,[],[f740,f950]) ).

fof(f740,plain,
    ( op(e0,e1) != op(e0,e3)
    | spl20_74 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f17830,plain,
    ( spl20_128
    | spl20_133
    | spl20_5
    | spl20_6
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f17193,f904,f534,f413,f408,f1864,f1124]) ).

fof(f17193,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f12149,f905]) ).

fof(f12149,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f163,f536]) ).

fof(f17817,plain,
    ( spl20_96
    | spl20_1
    | spl20_4
    | spl20_5
    | ~ spl20_19
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17795,f3579,f1171,f471,f408,f403,f388,f851]) ).

fof(f17795,plain,
    ( e1 = e3
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17527,f473]) ).

fof(f17527,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f12223,f3581]) ).

fof(f12223,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f175,f1173]) ).

fof(f17787,plain,
    ( ~ spl20_18
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f17778,f1128,f534,f467]) ).

fof(f17778,plain,
    ( ~ sP12
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(trivial_inequality_removal,[],[f17777]) ).

fof(f17777,plain,
    ( e0 != e0
    | ~ sP12
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f17776,f1129]) ).

fof(f17776,plain,
    ( e0 != op(e1,e1)
    | ~ sP12
    | ~ spl20_33 ),
    inference(trivial_inequality_removal,[],[f17775]) ).

fof(f17775,plain,
    ( e1 != e1
    | e0 != op(e1,e1)
    | ~ sP12
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f234,f536]) ).

fof(f234,plain,
    ( e1 != op(e1,e0)
    | e0 != op(e1,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f17772,plain,
    ( spl20_128
    | spl20_5
    | spl20_3
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f17739,f1128,f882,f534,f398,f408,f1124]) ).

fof(f17739,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f17738]) ).

fof(f17738,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f16373,f883]) ).

fof(f16373,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f12149,f1129]) ).

fof(f17717,plain,
    ( ~ spl20_103
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f17707,f1124,f904,f882]) ).

fof(f17707,plain,
    ( e0 != op(e1,e3)
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(trivial_inequality_removal,[],[f17706]) ).

fof(f17706,plain,
    ( e2 != e2
    | e0 != op(e1,e3)
    | ~ spl20_108
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f16938,f905]) ).

fof(f16938,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,e3)
    | ~ spl20_128 ),
    inference(trivial_inequality_removal,[],[f12742]) ).

fof(f12742,plain,
    ( e3 != e3
    | e2 != op(e1,e1)
    | e0 != op(e1,e3)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f360,f1125]) ).

fof(f360,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,e3)
    | e3 != op(e1,e2) ),
    inference(inner_rewriting,[],[f359]) ).

fof(f359,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e2))
    | e3 != op(e1,e2) ),
    inference(inner_rewriting,[],[f309]) ).

fof(f309,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(e1,op(e1,op(e1,e1)))
      & e3 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f17700,plain,
    ( spl20_128
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f17556,f904,f882,f534,f413,f398,f408,f1124]) ).

fof(f17556,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f16111,f905]) ).

fof(f16111,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f12149,f883]) ).

fof(f17513,plain,
    ( ~ spl20_14
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f17493,f944,f552,f449]) ).

fof(f17493,plain,
    ( ~ sP14
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(trivial_inequality_removal,[],[f17492]) ).

fof(f17492,plain,
    ( e2 != e2
    | ~ sP14
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17491,f945]) ).

fof(f17491,plain,
    ( op(e0,e0) != e2
    | ~ sP14
    | ~ spl20_37 ),
    inference(trivial_inequality_removal,[],[f17490]) ).

fof(f17490,plain,
    ( e0 != e0
    | op(e0,e0) != e2
    | ~ sP14
    | ~ spl20_37 ),
    inference(forward_demodulation,[],[f223,f554]) ).

fof(f223,plain,
    ( e0 != op(e0,e2)
    | op(e0,e0) != e2
    | ~ sP14 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f17484,plain,
    ( ~ spl20_36
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f17483,f944,f552,f548]) ).

fof(f548,plain,
    ( spl20_36
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).

fof(f17483,plain,
    ( ~ sP2
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(trivial_inequality_removal,[],[f17482]) ).

fof(f17482,plain,
    ( e0 != e0
    | ~ sP2
    | ~ spl20_37
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f17285,f554]) ).

fof(f17285,plain,
    ( e0 != op(e0,e2)
    | ~ sP2
    | ~ spl20_117 ),
    inference(trivial_inequality_removal,[],[f17284]) ).

fof(f17284,plain,
    ( e2 != e2
    | e0 != op(e0,e2)
    | ~ sP2
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f283,f945]) ).

fof(f283,plain,
    ( e0 != op(e0,e2)
    | op(e0,e0) != e2
    | ~ sP2 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e0 = op(e0,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e0 = op(e0,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f17472,plain,
    ( spl20_99
    | spl20_6
    | spl20_3
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17432,f3579,f896,f552,f398,f413,f864]) ).

fof(f17432,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f17431]) ).

fof(f17431,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15298,f554]) ).

fof(f15298,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e0,e2)
    | ~ spl20_106
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f14217,f3581]) ).

fof(f17446,plain,
    ( spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_101
    | ~ spl20_111
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17437,f3579,f1171,f918,f873,f408,f398,f413]) ).

fof(f17437,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_101
    | ~ spl20_111
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17436,f874]) ).

fof(f17436,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | ~ spl20_111
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f17435]) ).

fof(f17435,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | ~ spl20_111
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17434,f1173]) ).

fof(f17434,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | ~ spl20_111
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15707,f919]) ).

fof(f17430,plain,
    ( spl20_137
    | spl20_4
    | spl20_2
    | ~ spl20_101
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17343,f1171,f918,f873,f393,f403,f3579]) ).

fof(f17343,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e2)
    | ~ spl20_101
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f17342]) ).

fof(f17342,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e2)
    | ~ spl20_101
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f13932,f919]) ).

fof(f17266,plain,
    ( spl20_25
    | spl20_23
    | spl20_21
    | spl20_2
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5031,f1008,f393,f480,f489,f498]) ).

fof(f5031,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f169,f1010]) ).

fof(f1010,plain,
    ( e0 = op(e2,e0)
    | ~ spl20_122 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f17265,plain,
    ( spl20_105
    | spl20_128
    | spl20_6
    | spl20_5
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f11349,f1687,f534,f408,f413,f1124,f890]) ).

fof(f11349,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11239,f536]) ).

fof(f17254,plain,
    ( spl20_132
    | spl20_102
    | spl20_2
    | spl20_4
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f15313,f927,f543,f403,f393,f877,f1687]) ).

fof(f15313,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f13851,f928]) ).

fof(f13851,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f178,f545]) ).

fof(f17249,plain,
    ( spl20_136
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_50
    | ~ spl20_108
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17185,f1171,f904,f616,f413,f398,f408,f3550]) ).

fof(f17185,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_108
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f17138,f905]) ).

fof(f17138,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f12554,f1173]) ).

fof(f17245,plain,
    ( spl20_96
    | spl20_1
    | spl20_5
    | ~ spl20_19
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f17178,f1171,f869,f471,f408,f388,f851]) ).

fof(f17178,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f16928,f473]) ).

fof(f17177,plain,
    ( spl20_1
    | ~ spl20_35
    | ~ spl20_100
    | ~ spl20_113
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f17174,f3579,f927,f869,f543,f388]) ).

fof(f17174,plain,
    ( e0 = e1
    | ~ spl20_35
    | ~ spl20_100
    | ~ spl20_113
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f17173,f545]) ).

fof(f17173,plain,
    ( e1 = op(e0,e3)
    | ~ spl20_100
    | ~ spl20_113
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f928,f14546]) ).

fof(f17018,plain,
    ( spl20_5
    | ~ spl20_33
    | ~ spl20_100
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f16989,f3579,f1124,f869,f534,f408]) ).

fof(f16989,plain,
    ( e1 = e3
    | ~ spl20_33
    | ~ spl20_100
    | ~ spl20_128
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15103,f536]) ).

fof(f16905,plain,
    ( spl20_128
    | spl20_6
    | spl20_5
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f16707,f904,f534,f516,f408,f413,f1124]) ).

fof(f16707,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(duplicate_literal_removal,[],[f16706]) ).

fof(f16706,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f3456,f536]) ).

fof(f3456,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f1505,f905]) ).

fof(f16861,plain,
    ( spl20_21
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f16279,f3550,f1008,f846,f413,f403,f393,f480]) ).

fof(f16279,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f13834,f3551]) ).

fof(f13834,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | ~ spl20_95
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5031,f847]) ).

fof(f16822,plain,
    ( spl20_114
    | spl20_100
    | spl20_3
    | spl20_2
    | ~ spl20_124
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f16795,f1124,f1023,f393,f398,f869,f931]) ).

fof(f16795,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_124
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f16505,f1025]) ).

fof(f16505,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f166,f1125]) ).

fof(f16807,plain,
    ( spl20_131
    | spl20_111
    | spl20_2
    | spl20_1
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f12567,f914,f910,f388,f393,f918,f1171]) ).

fof(f12567,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f11407,f915]) ).

fof(f11407,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f173,f911]) ).

fof(f16793,plain,
    ( spl20_128
    | spl20_99
    | spl20_6
    | spl20_5
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f6059,f1023,f914,f408,f413,f864,f1124]) ).

fof(f6059,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2157,f915]) ).

fof(f2157,plain,
    ( e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f172,f1025]) ).

fof(f16782,plain,
    ( spl20_31
    | spl20_95
    | spl20_110
    | spl20_4
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f2133,f1023,f403,f914,f846,f525]) ).

fof(f2133,plain,
    ( e1 = e2
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f168,f1025]) ).

fof(f16780,plain,
    ( spl20_100
    | spl20_111
    | spl20_2
    | spl20_3
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f16091,f910,f462,f398,f393,f918,f869]) ).

fof(f16091,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f11407,f464]) ).

fof(f16778,plain,
    ( spl20_25
    | spl20_138
    | spl20_2
    | spl20_4
    | ~ spl20_50
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f14133,f1128,f616,f403,f393,f6967,f498]) ).

fof(f14133,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2625,f617]) ).

fof(f2625,plain,
    ( e0 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f162,f1129]) ).

fof(f16748,plain,
    ( spl20_105
    | spl20_136
    | spl20_5
    | spl20_6
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f16680,f953,f648,f413,f408,f3550,f890]) ).

fof(f16680,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f13580,f954]) ).

fof(f13580,plain,
    ( e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f164,f649]) ).

fof(f16742,plain,
    ( spl20_99
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_100
    | ~ spl20_115
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16740,f2159,f936,f869,f408,f413,f398,f864]) ).

fof(f16740,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_100
    | ~ spl20_115
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f16739,f937]) ).

fof(f16739,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e0,e2)
    | ~ spl20_100
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f16738,f2161]) ).

fof(f16738,plain,
    ( e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f172,f870]) ).

fof(f16733,plain,
    ( spl20_103
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16662,f2159,f890,f534,f388,f398,f393,f882]) ).

fof(f16662,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e1,e3)
    | ~ spl20_33
    | ~ spl20_105
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f16661,f536]) ).

fof(f16661,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_105
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14124,f891]) ).

fof(f16721,plain,
    ( spl20_105
    | spl20_6
    | spl20_5
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16714,f2159,f534,f516,f408,f413,f890]) ).

fof(f16714,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f16713]) ).

fof(f16713,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14125,f536]) ).

fof(f14125,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f1505,f2161]) ).

fof(f16712,plain,
    ( spl20_136
    | spl20_5
    | spl20_6
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f16702,f953,f904,f648,f413,f408,f3550]) ).

fof(f16702,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119 ),
    inference(duplicate_literal_removal,[],[f16701]) ).

fof(f16701,plain,
    ( e2 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f13749,f954]) ).

fof(f13749,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f8448,f649]) ).

fof(f8448,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f164,f905]) ).

fof(f16698,plain,
    ( spl20_108
    | spl20_135
    | spl20_4
    | ~ spl20_29
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f16652,f534,f516,f403,f2159,f904]) ).

fof(f16652,plain,
    ( e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f16651]) ).

fof(f16651,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f12411,f518]) ).

fof(f16696,plain,
    ( ~ spl20_41
    | spl20_44
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f7939,f1008,f585,f570]) ).

fof(f585,plain,
    ( spl20_44
  <=> op(e0,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).

fof(f7939,plain,
    ( e0 != op(e0,e0)
    | spl20_44
    | ~ spl20_122 ),
    inference(superposition,[],[f587,f1010]) ).

fof(f587,plain,
    ( op(e0,e0) != op(e2,e0)
    | spl20_44 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f16668,plain,
    ( spl20_100
    | spl20_3
    | spl20_2
    | spl20_1
    | ~ spl20_99
    | ~ spl20_115
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16659,f2159,f936,f864,f388,f393,f398,f869]) ).

fof(f16659,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_115
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f15567,f937]) ).

fof(f15567,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14128,f2161]) ).

fof(f16658,plain,
    ( spl20_135
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f16590,f890,f534,f516,f413,f403,f2159]) ).

fof(f16590,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f16323,f891]) ).

fof(f16323,plain,
    ( e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f13168]) ).

fof(f13168,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f1379,f536]) ).

fof(f1379,plain,
    ( e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f161,f518]) ).

fof(f16643,plain,
    ( spl20_100
    | spl20_3
    | spl20_1
    | ~ spl20_99
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f16470,f1124,f936,f864,f388,f398,f869]) ).

fof(f16470,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f16469,f937]) ).

fof(f16469,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f16468]) ).

fof(f16468,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13421,f865]) ).

fof(f16518,plain,
    ( spl20_23
    | spl20_21
    | spl20_2
    | spl20_4
    | ~ spl20_54
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5437,f1008,f637,f403,f393,f480,f489]) ).

fof(f5437,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | ~ spl20_54
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5031,f638]) ).

fof(f16509,plain,
    ( spl20_132
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_33
    | ~ spl20_128
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f12932,f1128,f1124,f534,f393,f413,f403,f1687]) ).

fof(f12932,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_33
    | ~ spl20_128
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f12931,f1129]) ).

fof(f12931,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_33
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f12411,f1125]) ).

fof(f16486,plain,
    ( spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_128
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f16476,f1128,f1124,f534,f516,f393,f403,f413]) ).

fof(f16476,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_128
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f16475,f1129]) ).

fof(f16475,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f16474]) ).

fof(f16474,plain,
    ( e1 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f12931,f518]) ).

fof(f16466,plain,
    ( spl20_128
    | spl20_3
    | spl20_5
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f16376,f1128,f534,f516,f408,f398,f1124]) ).

fof(f16376,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f16375]) ).

fof(f16375,plain,
    ( e1 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f16374,f536]) ).

fof(f16374,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f14126,f1129]) ).

fof(f14126,plain,
    ( e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f163,f518]) ).

fof(f16319,plain,
    ( ~ spl20_10
    | spl20_1
    | ~ spl20_118
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f16240,f957,f949,f388,f430]) ).

fof(f16240,plain,
    ( e0 = e1
    | ~ sP19
    | ~ spl20_118
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f16239]) ).

fof(f16239,plain,
    ( e3 != e3
    | e0 = e1
    | ~ sP19
    | ~ spl20_118
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f16238,f958]) ).

fof(f16238,plain,
    ( e0 = e1
    | op(e0,e0) != e3
    | ~ sP19
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f198,f950]) ).

fof(f198,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP19 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f16211,plain,
    ( spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f16202,f2159,f882,f534,f435,f408,f413,f398]) ).

fof(f16202,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f16201]) ).

fof(f16201,plain,
    ( e1 = e3
    | e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f16200,f536]) ).

fof(f16200,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14461,f437]) ).

fof(f14461,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_103
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14460,f2161]) ).

fof(f16184,plain,
    ( spl20_135
    | spl20_2
    | spl20_4
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f16109,f882,f534,f435,f403,f393,f2159]) ).

fof(f16109,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103 ),
    inference(duplicate_literal_removal,[],[f16108]) ).

fof(f16108,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f12598,f437]) ).

fof(f16167,plain,
    ( spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f16128,f949,f882,f851,f480,f408,f398,f413]) ).

fof(f16128,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f16127]) ).

fof(f16127,plain,
    ( e1 = e3
    | e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f16126,f950]) ).

fof(f16126,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_96
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f5061,f852]) ).

fof(f16047,plain,
    ( spl20_21
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f15978,f1061,f882,f851,f413,f393,f403,f480]) ).

fof(f15978,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f10444,f1063]) ).

fof(f10444,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f4606,f883]) ).

fof(f16045,plain,
    ( spl20_31
    | spl20_5
    | spl20_1
    | spl20_4
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f15968,f1023,f869,f864,f403,f388,f408,f525]) ).

fof(f15968,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e3
    | e1 = op(e1,e2)
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f15967,f1025]) ).

fof(f15967,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | ~ spl20_99
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f15683,f870]) ).

fof(f15683,plain,
    ( e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f168,f865]) ).

fof(f15952,plain,
    ( spl20_95
    | spl20_113
    | spl20_5
    | spl20_1
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f15253,f3550,f1008,f388,f408,f927,f846]) ).

fof(f15253,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f13424,f1010]) ).

fof(f13424,plain,
    ( e1 = e3
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f167,f3551]) ).

fof(f15949,plain,
    ( spl20_96
    | spl20_1
    | spl20_5
    | spl20_4
    | ~ spl20_19
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f15931,f6967,f869,f471,f403,f408,f388,f851]) ).

fof(f15931,plain,
    ( e1 = e2
    | e1 = e3
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_100
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f14542,f6969]) ).

fof(f15909,plain,
    ( spl20_136
    | spl20_17
    | spl20_5
    | spl20_3
    | ~ spl20_11
    | ~ spl20_39 ),
    inference(avatar_split_clause,[],[f14422,f561,f435,f398,f408,f462,f3550]) ).

fof(f14422,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f2859,f563]) ).

fof(f2859,plain,
    ( e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f164,f437]) ).

fof(f15904,plain,
    ( spl20_136
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f15714,f6967,f561,f435,f398,f413,f408,f3550]) ).

fof(f15714,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7462,f563]) ).

fof(f7462,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f2859,f6969]) ).

fof(f15896,plain,
    ( spl20_23
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_113
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f15290,f3550,f1008,f927,f393,f413,f403,f489]) ).

fof(f15290,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e2,e2)
    | ~ spl20_113
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f15289,f1010]) ).

fof(f15289,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_113
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f4070,f3551]) ).

fof(f15871,plain,
    ( spl20_111
    | spl20_1
    | spl20_3
    | ~ spl20_113
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f15858,f1864,f1061,f927,f398,f388,f918]) ).

fof(f15858,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f15857]) ).

fof(f15857,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f13097,f1866]) ).

fof(f13097,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f6436,f928]) ).

fof(f6436,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f174,f1063]) ).

fof(f15853,plain,
    ( spl20_113
    | spl20_96
    | spl20_5
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f7972,f1864,f1061,f408,f851,f927]) ).

fof(f7972,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f4539]) ).

fof(f4539,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4538,f1063]) ).

fof(f4538,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f176,f1866]) ).

fof(f15827,plain,
    ( spl20_133
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_11
    | ~ spl20_104
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f15770,f896,f886,f435,f398,f408,f413,f1864]) ).

fof(f15770,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_104
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f15022,f897]) ).

fof(f15022,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f7133,f437]) ).

fof(f7133,plain,
    ( e2 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f163,f887]) ).

fof(f15758,plain,
    ( spl20_15
    | spl20_13
    | spl20_6
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f15750,f6967,f910,f413,f444,f453]) ).

fof(f15750,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f15749]) ).

fof(f15749,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f11408,f6969]) ).

fof(f11408,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f179,f911]) ).

fof(f15748,plain,
    ( spl20_128
    | spl20_99
    | spl20_6
    | ~ spl20_124
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f15264,f3579,f1023,f413,f864,f1124]) ).

fof(f15264,plain,
    ( e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_124
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f15263]) ).

fof(f15263,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_124
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f2157,f3581]) ).

fof(f15698,plain,
    ( ~ spl20_20
    | ~ spl20_21
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f15674,f864,f480,f476]) ).

fof(f15674,plain,
    ( ~ sP11
    | ~ spl20_21
    | ~ spl20_99 ),
    inference(trivial_inequality_removal,[],[f15673]) ).

fof(f15673,plain,
    ( e3 != e3
    | ~ sP11
    | ~ spl20_21
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f15672,f865]) ).

fof(f15672,plain,
    ( e3 != op(e2,e2)
    | ~ sP11
    | ~ spl20_21 ),
    inference(trivial_inequality_removal,[],[f15671]) ).

fof(f15671,plain,
    ( e2 != e2
    | e3 != op(e2,e2)
    | ~ sP11
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f240,f482]) ).

fof(f240,plain,
    ( e2 != op(e2,e3)
    | e3 != op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f15697,plain,
    ( ~ spl20_16
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f14205,f841,f561,f458]) ).

fof(f14205,plain,
    ( ~ sP13
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f1334]) ).

fof(f15644,plain,
    ( spl20_110
    | spl20_5
    | spl20_4
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f15532,f2159,f1023,f864,f403,f408,f914]) ).

fof(f15532,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f14140]) ).

fof(f14140,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e2)
    | ~ spl20_99
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14139,f2161]) ).

fof(f14139,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e2)
    | e1 = op(e1,e2)
    | ~ spl20_99
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2133,f865]) ).

fof(f15643,plain,
    ( ~ spl20_16
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f336,f435,f458]) ).

fof(f336,plain,
    ( e1 != op(e1,e1)
    | ~ sP13 ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f229,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f15530,plain,
    ( spl20_6
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f13084,f877,f444,f413]) ).

fof(f13084,plain,
    ( e2 = e3
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f446,f878]) ).

fof(f446,plain,
    ( e3 = op(e3,e3)
    | ~ spl20_13 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f15375,plain,
    ( spl20_99
    | spl20_5
    | spl20_3
    | ~ spl20_113
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f15283,f1167,f1008,f927,f398,f408,f864]) ).

fof(f15283,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_113
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f15282]) ).

fof(f15282,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_113
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f12792,f1010]) ).

fof(f12792,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4175,f928]) ).

fof(f15367,plain,
    ( spl20_131
    | spl20_1
    | spl20_3
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f12842,f3550,f940,f435,f398,f388,f1171]) ).

fof(f12842,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e1)
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f12841]) ).

fof(f12841,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5772,f941]) ).

fof(f5772,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5152,f437]) ).

fof(f5152,plain,
    ( e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f158,f3551]) ).

fof(f15210,plain,
    ( spl20_3
    | ~ spl20_100
    | ~ spl20_125
    | ~ spl20_134
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f15083,f3579,f1925,f1027,f869,f398]) ).

fof(f15083,plain,
    ( e0 = e3
    | ~ spl20_100
    | ~ spl20_125
    | ~ spl20_134
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15082,f14546]) ).

fof(f15082,plain,
    ( e2 = e3
    | ~ spl20_100
    | ~ spl20_125
    | ~ spl20_134
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f15081,f1029]) ).

fof(f15081,plain,
    ( e3 = op(e0,e3)
    | ~ spl20_100
    | ~ spl20_134
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1927,f14546]) ).

fof(f14993,plain,
    ( ~ spl20_126
    | spl20_59
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f1811,f864,f663,f1057]) ).

fof(f663,plain,
    ( spl20_59
  <=> op(e0,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).

fof(f1811,plain,
    ( e3 != op(e0,e2)
    | spl20_59
    | ~ spl20_99 ),
    inference(superposition,[],[f665,f865]) ).

fof(f665,plain,
    ( op(e0,e2) != op(e2,e2)
    | spl20_59 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f14992,plain,
    ( spl20_25
    | spl20_4
    | spl20_2
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f13250,f1171,f561,f435,f393,f403,f498]) ).

fof(f13250,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f13249]) ).

fof(f13249,plain,
    ( e0 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f13246,f563]) ).

fof(f13246,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f2861,f1173]) ).

fof(f2861,plain,
    ( e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f162,f437]) ).

fof(f14953,plain,
    ( ~ spl20_29
    | ~ spl20_11
    | spl20_80 ),
    inference(avatar_split_clause,[],[f774,f770,f435,f516]) ).

fof(f14878,plain,
    ( spl20_5
    | ~ spl20_94
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f14849,f3579,f869,f864,f841,f408]) ).

fof(f14849,plain,
    ( e1 = e3
    | ~ spl20_94
    | ~ spl20_99
    | ~ spl20_100
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f14848,f842]) ).

fof(f14604,plain,
    ( spl20_131
    | ~ spl20_100
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f14577,f6967,f3579,f869,f1171]) ).

fof(f14577,plain,
    ( e0 = op(e3,e1)
    | ~ spl20_100
    | ~ spl20_137
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f6969,f14546]) ).

fof(f14554,plain,
    ( spl20_136
    | spl20_134
    | spl20_3
    | spl20_5
    | ~ spl20_95
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f14010,f1008,f846,f408,f398,f1925,f3550]) ).

fof(f14010,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | ~ spl20_95
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5037,f847]) ).

fof(f5037,plain,
    ( e0 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f171,f1010]) ).

fof(f14538,plain,
    ( spl20_114
    | spl20_100
    | spl20_3
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f14464,f1124,f1057,f398,f869,f931]) ).

fof(f14464,plain,
    ( e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f14463]) ).

fof(f14463,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13421,f1059]) ).

fof(f14530,plain,
    ( spl20_23
    | spl20_137
    | spl20_6
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f13554,f1124,f1057,f413,f3579,f489]) ).

fof(f13554,plain,
    ( e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f13553]) ).

fof(f13553,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13552,f1059]) ).

fof(f14521,plain,
    ( spl20_95
    | spl20_110
    | spl20_5
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f13551,f1124,f1057,f408,f914,f846]) ).

fof(f13551,plain,
    ( e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f13550]) ).

fof(f13550,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f13549,f1059]) ).

fof(f14499,plain,
    ( spl20_2
    | ~ spl20_19
    | ~ spl20_122
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f14498,f2159,f1124,f1008,f471,f393]) ).

fof(f14498,plain,
    ( e0 = e2
    | ~ spl20_19
    | ~ spl20_122
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f14497,f1010]) ).

fof(f14497,plain,
    ( e2 = op(e2,e0)
    | ~ spl20_19
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f473,f6547]) ).

fof(f6547,plain,
    ( e2 = e3
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(superposition,[],[f2161,f1125]) ).

fof(f14442,plain,
    ( spl20_56
    | spl20_96
    | spl20_4
    | spl20_5
    | ~ spl20_15
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f12208,f910,f453,f408,f403,f851,f648]) ).

fof(f12208,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f11409,f455]) ).

fof(f11409,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f175,f911]) ).

fof(f14435,plain,
    ( spl20_135
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f14368,f900,f882,f435,f413,f393,f403,f2159]) ).

fof(f14368,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f14367,f901]) ).

fof(f14367,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f11533,f883]) ).

fof(f14421,plain,
    ( spl20_96
    | spl20_5
    | spl20_4
    | ~ spl20_15
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f14412,f6967,f910,f453,f403,f408,f851]) ).

fof(f14412,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f14411]) ).

fof(f14411,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_109
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f8094,f911]) ).

fof(f14410,plain,
    ( spl20_138
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f14366,f3550,f561,f435,f393,f413,f403,f6967]) ).

fof(f14366,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e1)
    | ~ spl20_11
    | ~ spl20_39
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f12836,f563]) ).

fof(f12836,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f2861,f3551]) ).

fof(f14319,plain,
    ( ~ spl20_97
    | ~ spl20_95
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f14309,f3550,f846,f856]) ).

fof(f14309,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,e3)
    | ~ spl20_136 ),
    inference(trivial_inequality_removal,[],[f14308]) ).

fof(f14308,plain,
    ( e3 != e3
    | e1 != op(e2,e2)
    | e0 != op(e2,e3)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f368,f3551]) ).

fof(f368,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,e3)
    | e3 != op(e2,e1) ),
    inference(inner_rewriting,[],[f367]) ).

fof(f367,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e1))
    | e3 != op(e2,e1) ),
    inference(inner_rewriting,[],[f313]) ).

fof(f313,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e1 = op(e2,e2)
      & e0 = op(e2,op(e2,op(e2,e2)))
      & e3 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f14304,plain,
    ( spl20_95
    | spl20_5
    | spl20_1
    | ~ spl20_97
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f14292,f3550,f1008,f856,f388,f408,f846]) ).

fof(f14292,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e2,e2)
    | ~ spl20_97
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f14291]) ).

fof(f14291,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = e3
    | e1 = op(e2,e2)
    | ~ spl20_97
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f14290,f1010]) ).

fof(f14290,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f13424,f857]) ).

fof(f14283,plain,
    ( spl20_136
    | spl20_99
    | spl20_3
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f13669,f1008,f856,f398,f864,f3550]) ).

fof(f13669,plain,
    ( e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f5582]) ).

fof(f5582,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5037,f857]) ).

fof(f14200,plain,
    ( spl20_33
    | spl20_101
    | spl20_1
    | spl20_5
    | ~ spl20_120
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f11266,f1008,f957,f408,f388,f873,f534]) ).

fof(f11266,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_120
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8086,f958]) ).

fof(f8086,plain,
    ( e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f152,f1010]) ).

fof(f14180,plain,
    ( spl20_128
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f14154,f1128,f886,f516,f408,f413,f398,f1124]) ).

fof(f14154,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f7134,f518]) ).

fof(f7134,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2453,f887]) ).

fof(f2453,plain,
    ( e0 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f163,f1129]) ).

fof(f14168,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f14143,f2159,f1128,f886,f516,f413,f408,f398]) ).

fof(f14143,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f14142]) ).

fof(f14142,plain,
    ( e2 = e3
    | e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f11985,f2161]) ).

fof(f11985,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f7134,f518]) ).

fof(f14114,plain,
    ( spl20_131
    | spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_15
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f14062,f873,f453,f388,f398,f918,f1171]) ).

fof(f14062,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f3774,f874]) ).

fof(f14107,plain,
    ( spl20_108
    | spl20_135
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f13971,f900,f516,f413,f403,f2159,f904]) ).

fof(f13971,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1379,f901]) ).

fof(f14094,plain,
    ( spl20_136
    | spl20_99
    | spl20_3
    | spl20_6
    | ~ spl20_21
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f13923,f1008,f480,f413,f398,f864,f3550]) ).

fof(f13923,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | ~ spl20_21
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5037,f482]) ).

fof(f14073,plain,
    ( spl20_21
    | spl20_102
    | spl20_4
    | spl20_2
    | ~ spl20_29
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f13856,f543,f516,f393,f403,f877,f480]) ).

fof(f13856,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f5967,f545]) ).

fof(f5967,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f178,f518]) ).

fof(f14054,plain,
    ( spl20_99
    | spl20_134
    | spl20_6
    | spl20_3
    | ~ spl20_25
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f13647,f1008,f498,f398,f413,f1925,f864]) ).

fof(f13647,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f13575,f1010]) ).

fof(f13575,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f171,f500]) ).

fof(f14028,plain,
    ( spl20_102
    | spl20_2
    | spl20_6
    | spl20_4
    | ~ spl20_17
    | ~ spl20_100
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f14018,f873,f869,f462,f403,f413,f393,f877]) ).

fof(f14018,plain,
    ( e1 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_100
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f14017,f874]) ).

fof(f14017,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f9746,f464]) ).

fof(f9746,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f177,f870]) ).

fof(f14015,plain,
    ( spl20_100
    | spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_17
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f13797,f873,f462,f388,f398,f918,f869]) ).

fof(f13797,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f10618,f874]) ).

fof(f10618,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f173,f464]) ).

fof(f14009,plain,
    ( spl20_108
    | spl20_138
    | spl20_6
    | spl20_4
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f12744,f3550,f616,f403,f413,f6967,f904]) ).

fof(f12744,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10099,f617]) ).

fof(f10099,plain,
    ( e2 = e3
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f162,f3551]) ).

fof(f13969,plain,
    ( spl20_102
    | spl20_2
    | spl20_6
    | spl20_4
    | ~ spl20_15
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f13939,f1171,f873,f453,f403,f413,f393,f877]) ).

fof(f13939,plain,
    ( e1 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_101
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f10426,f874]) ).

fof(f13958,plain,
    ( spl20_136
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f13920,f1008,f846,f480,f398,f408,f413,f3550]) ).

fof(f13920,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f13905,f1010]) ).

fof(f13905,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f2446,f847]) ).

fof(f13916,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f13898,f1167,f1008,f846,f480,f398,f408,f413]) ).

fof(f13898,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f13897]) ).

fof(f13897,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f13896,f1010]) ).

fof(f13896,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_95
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f13895,f1169]) ).

fof(f13895,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f5355,f847]) ).

fof(f5355,plain,
    ( e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f171,f482]) ).

fof(f13891,plain,
    ( spl20_21
    | spl20_4
    | spl20_2
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f13883,f1167,f1008,f846,f393,f403,f480]) ).

fof(f13883,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f13882]) ).

fof(f13882,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | ~ spl20_95
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f13834,f1169]) ).

fof(f13879,plain,
    ( spl20_95
    | spl20_113
    | spl20_1
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f13870,f1167,f1008,f388,f927,f846]) ).

fof(f13870,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f13869]) ).

fof(f13869,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4177,f1010]) ).

fof(f4177,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f167,f1169]) ).

fof(f13867,plain,
    ( spl20_130
    | spl20_131
    | spl20_1
    | spl20_2
    | ~ spl20_50
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f13785,f904,f616,f393,f388,f1171,f1167]) ).

fof(f13785,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | ~ spl20_50
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f12553,f905]) ).

fof(f13865,plain,
    ( spl20_111
    | spl20_3
    | spl20_1
    | spl20_2
    | ~ spl20_17
    | ~ spl20_101
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f13844,f3579,f873,f462,f393,f388,f398,f918]) ).

fof(f13844,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_101
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f13807,f3581]) ).

fof(f13807,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f1138,f874]) ).

fof(f13848,plain,
    ( spl20_113
    | spl20_96
    | spl20_1
    | ~ spl20_35
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f13829,f882,f543,f388,f851,f927]) ).

fof(f13829,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_103 ),
    inference(duplicate_literal_removal,[],[f13828]) ).

fof(f13828,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f3940,f883]) ).

fof(f3940,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f176,f545]) ).

fof(f13843,plain,
    ( spl20_100
    | spl20_1
    | spl20_3
    | ~ spl20_31
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f13759,f1057,f846,f525,f398,f388,f869]) ).

fof(f13759,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f13758,f1059]) ).

fof(f13758,plain,
    ( e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_95 ),
    inference(duplicate_literal_removal,[],[f13757]) ).

fof(f13757,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f4067,f847]) ).

fof(f4067,plain,
    ( e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f166,f527]) ).

fof(f13835,plain,
    ( spl20_137
    | spl20_4
    | spl20_6
    | ~ spl20_31
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f13756,f1057,f846,f525,f413,f403,f3579]) ).

fof(f13756,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_95
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f13755,f1059]) ).

fof(f13755,plain,
    ( e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_95 ),
    inference(duplicate_literal_removal,[],[f13754]) ).

fof(f13754,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f4902,f847]) ).

fof(f4902,plain,
    ( e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f170,f527]) ).

fof(f13827,plain,
    ( spl20_102
    | spl20_2
    | ~ spl20_35
    | ~ spl20_97
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f13789,f882,f856,f543,f393,f877]) ).

fof(f13789,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_97
    | ~ spl20_103 ),
    inference(duplicate_literal_removal,[],[f13788]) ).

fof(f13788,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_97
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f13787,f883]) ).

fof(f13787,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_97 ),
    inference(duplicate_literal_removal,[],[f13786]) ).

fof(f13786,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f12061,f857]) ).

fof(f12061,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f178,f545]) ).

fof(f13777,plain,
    ( ~ spl20_118
    | ~ spl20_117
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f13742,f1057,f944,f949]) ).

fof(f13742,plain,
    ( e1 != op(e0,e3)
    | ~ spl20_117
    | ~ spl20_126 ),
    inference(trivial_inequality_removal,[],[f13741]) ).

fof(f13741,plain,
    ( e3 != e3
    | e1 != op(e0,e3)
    | ~ spl20_117
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f13740,f1059]) ).

fof(f13740,plain,
    ( e1 != op(e0,e3)
    | e3 != op(e0,e2)
    | ~ spl20_117 ),
    inference(trivial_inequality_removal,[],[f13739]) ).

fof(f13739,plain,
    ( e2 != e2
    | e1 != op(e0,e3)
    | e3 != op(e0,e2)
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f382,f945]) ).

fof(f382,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,e3)
    | e3 != op(e0,e2) ),
    inference(inner_rewriting,[],[f381]) ).

fof(f381,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,op(e0,e2))
    | e3 != op(e0,e2) ),
    inference(inner_rewriting,[],[f320]) ).

fof(f320,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(e0,op(e0,op(e0,e0)))
      & e3 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f13725,plain,
    ( spl20_102
    | spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f13676,f949,f856,f516,f403,f393,f877]) ).

fof(f13676,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f13675]) ).

fof(f13675,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f6447,f950]) ).

fof(f6447,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5967,f857]) ).

fof(f13704,plain,
    ( ~ spl20_38
    | ~ spl20_95
    | ~ spl20_25 ),
    inference(avatar_split_clause,[],[f13695,f498,f846,f557]) ).

fof(f557,plain,
    ( spl20_38
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).

fof(f13695,plain,
    ( e1 != op(e2,e2)
    | ~ sP1
    | ~ spl20_25 ),
    inference(trivial_inequality_removal,[],[f13694]) ).

fof(f13694,plain,
    ( e2 != e2
    | e1 != op(e2,e2)
    | ~ sP1
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f290,f500]) ).

fof(f290,plain,
    ( e2 != op(e2,e1)
    | e1 != op(e2,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e0 = op(e0,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e0 = op(e0,e1) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f13696,plain,
    ( ~ spl20_24
    | ~ spl20_25
    | ~ spl20_95 ),
    inference(avatar_split_clause,[],[f1805,f846,f498,f494]) ).

fof(f1805,plain,
    ( ~ sP9
    | ~ spl20_25
    | ~ spl20_95 ),
    inference(trivial_inequality_removal,[],[f1804]) ).

fof(f1804,plain,
    ( e1 != e1
    | ~ sP9
    | ~ spl20_25
    | ~ spl20_95 ),
    inference(forward_demodulation,[],[f1753,f847]) ).

fof(f1753,plain,
    ( e1 != op(e2,e2)
    | ~ sP9
    | ~ spl20_25 ),
    inference(trivial_inequality_removal,[],[f1752]) ).

fof(f1752,plain,
    ( e2 != e2
    | e1 != op(e2,e2)
    | ~ sP9
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f250,f500]) ).

fof(f250,plain,
    ( e2 != op(e2,e1)
    | e1 != op(e2,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f13692,plain,
    ( spl20_95
    | spl20_1
    | spl20_4
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f13672,f1008,f856,f498,f403,f388,f846]) ).

fof(f13672,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f7290,f500]) ).

fof(f7290,plain,
    ( e0 = e1
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f7289]) ).

fof(f7289,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1640,f1010]) ).

fof(f13668,plain,
    ( spl20_97
    | spl20_111
    | spl20_1
    | ~ spl20_29
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f13432,f949,f516,f388,f918,f856]) ).

fof(f13432,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f13431]) ).

fof(f13431,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f12908,f518]) ).

fof(f12908,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f174,f950]) ).

fof(f13634,plain,
    ( spl20_111
    | spl20_3
    | spl20_1
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f11994,f873,f648,f453,f388,f398,f918]) ).

fof(f11994,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_101 ),
    inference(duplicate_literal_removal,[],[f11993]) ).

fof(f11993,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_101 ),
    inference(forward_demodulation,[],[f11992,f874]) ).

fof(f11992,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f3774,f649]) ).

fof(f13597,plain,
    ( spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_25
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f13589,f904,f648,f561,f498,f398,f413,f408]) ).

fof(f13589,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_25
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f13588,f563]) ).

fof(f13588,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e0,e1)
    | ~ spl20_25
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(duplicate_literal_removal,[],[f13587]) ).

fof(f13587,plain,
    ( e2 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e0,e1)
    | ~ spl20_25
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f13586,f500]) ).

fof(f13586,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f10007,f649]) ).

fof(f13584,plain,
    ( spl20_108
    | spl20_6
    | spl20_4
    | ~ spl20_29
    | ~ spl20_107
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f13556,f1124,f900,f516,f403,f413,f904]) ).

fof(f13556,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_107
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f12799,f518]) ).

fof(f12799,plain,
    ( e2 = e3
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_107
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f12798]) ).

fof(f12798,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_107
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f10613,f1125]) ).

fof(f10613,plain,
    ( e2 = e3
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f161,f901]) ).

fof(f13544,plain,
    ( spl20_6
    | ~ spl20_25
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f13472,f3550,f498,f413]) ).

fof(f13472,plain,
    ( e2 = e3
    | ~ spl20_25
    | ~ spl20_136 ),
    inference(superposition,[],[f500,f3551]) ).

fof(f13499,plain,
    ( spl20_111
    | spl20_1
    | ~ spl20_56
    | ~ spl20_101
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f13438,f914,f873,f648,f388,f918]) ).

fof(f13438,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_56
    | ~ spl20_101
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f13437]) ).

fof(f13437,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_56
    | ~ spl20_101
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f13063,f874]) ).

fof(f13063,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f13062]) ).

fof(f13062,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f1898,f915]) ).

fof(f1898,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f173,f649]) ).

fof(f13405,plain,
    ( spl20_102
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f13334,f1061,f927,f516,f413,f403,f877]) ).

fof(f13334,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f13147,f1063]) ).

fof(f13147,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f12502]) ).

fof(f12502,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f5967,f928]) ).

fof(f13309,plain,
    ( ~ spl20_38
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f324,f435,f557]) ).

fof(f324,plain,
    ( e1 != op(e1,e1)
    | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f289,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f13307,plain,
    ( ~ spl20_27
    | ~ spl20_23
    | spl20_83 ),
    inference(avatar_split_clause,[],[f5651,f786,f489,f507]) ).

fof(f786,plain,
    ( spl20_83
  <=> op(e2,e0) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).

fof(f5651,plain,
    ( e2 != op(e2,e0)
    | ~ spl20_23
    | spl20_83 ),
    inference(superposition,[],[f788,f491]) ).

fof(f788,plain,
    ( op(e2,e0) != op(e2,e2)
    | spl20_83 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f13247,plain,
    ( spl20_5
    | ~ spl20_15
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f13226,f914,f453,f408]) ).

fof(f13226,plain,
    ( e1 = e3
    | ~ spl20_15
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f455,f915]) ).

fof(f13183,plain,
    ( spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f13167,f1061,f927,f918,f516,f403,f393,f413]) ).

fof(f13167,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(duplicate_literal_removal,[],[f13166]) ).

fof(f13166,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f13165,f928]) ).

fof(f13165,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | e2 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f5699,f919]) ).

fof(f5699,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f5281,f518]) ).

fof(f5281,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f178,f1063]) ).

fof(f13138,plain,
    ( ~ spl20_32
    | ~ spl20_111
    | ~ spl20_19 ),
    inference(avatar_split_clause,[],[f13023,f471,f918,f530]) ).

fof(f13023,plain,
    ( e0 != op(e3,e3)
    | ~ sP4
    | ~ spl20_19 ),
    inference(trivial_inequality_removal,[],[f13022]) ).

fof(f13022,plain,
    ( e3 != e3
    | e0 != op(e3,e3)
    | ~ sP4
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f276,f473]) ).

fof(f276,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e3,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f13086,plain,
    ( spl20_2
    | ~ spl20_13
    | ~ spl20_19
    | ~ spl20_102
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f12831,f1008,f877,f471,f444,f393]) ).

fof(f12831,plain,
    ( e0 = e2
    | ~ spl20_13
    | ~ spl20_19
    | ~ spl20_102
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f12830,f1010]) ).

fof(f12830,plain,
    ( e2 = op(e2,e0)
    | ~ spl20_13
    | ~ spl20_19
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f473,f2187]) ).

fof(f2187,plain,
    ( e2 = e3
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(superposition,[],[f878,f446]) ).

fof(f12997,plain,
    ( spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f12941,f1925,f949,f918,f516,f403,f393,f413]) ).

fof(f12941,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f12940]) ).

fof(f12940,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | e1 = e2
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_118
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f12939,f950]) ).

fof(f12939,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f5891,f919]) ).

fof(f5891,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f5700,f1927]) ).

fof(f5700,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f178,f518]) ).

fof(f12996,plain,
    ( ~ spl20_9
    | ~ spl20_102
    | spl20_5
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f12901,f914,f408,f877,f426]) ).

fof(f12894,plain,
    ( spl20_5
    | ~ spl20_19
    | ~ spl20_101 ),
    inference(avatar_split_clause,[],[f12870,f873,f471,f408]) ).

fof(f12870,plain,
    ( e1 = e3
    | ~ spl20_19
    | ~ spl20_101 ),
    inference(superposition,[],[f874,f473]) ).

fof(f12835,plain,
    ( spl20_1
    | ~ spl20_13
    | ~ spl20_101
    | ~ spl20_102
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f12810,f1008,f877,f873,f444,f388]) ).

fof(f12810,plain,
    ( e0 = e1
    | ~ spl20_13
    | ~ spl20_101
    | ~ spl20_102
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f12809,f1010]) ).

fof(f12809,plain,
    ( e1 = op(e2,e0)
    | ~ spl20_13
    | ~ spl20_101
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f874,f2187]) ).

fof(f12754,plain,
    ( ~ spl20_10
    | spl20_2
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f12753,f1027,f957,f393,f430]) ).

fof(f12753,plain,
    ( e0 = e2
    | ~ sP19
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(trivial_inequality_removal,[],[f12752]) ).

fof(f12752,plain,
    ( e3 != e3
    | e0 = e2
    | ~ sP19
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f12751,f958]) ).

fof(f12751,plain,
    ( e0 = e2
    | op(e0,e0) != e3
    | ~ sP19
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f198,f1029]) ).

fof(f12750,plain,
    ( ~ spl20_7
    | spl20_3
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f11078,f957,f398,f418]) ).

fof(f11078,plain,
    ( e0 = e3
    | ~ sP16
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f212,f958]) ).

fof(f212,plain,
    ( e0 = op(e0,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f12737,plain,
    ( spl20_104
    | spl20_108
    | spl20_6
    | spl20_2
    | ~ spl20_103
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f6825,f1124,f882,f393,f413,f904,f886]) ).

fof(f6825,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_103
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f6434,f883]) ).

fof(f6434,plain,
    ( e2 = e3
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f161,f1125]) ).

fof(f12722,plain,
    ( spl20_13
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f12694,f1027,f927,f882,f413,f408,f398,f444]) ).

fof(f12694,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f11616,f1029]) ).

fof(f11616,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f5033,f928]) ).

fof(f5033,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f180,f883]) ).

fof(f12715,plain,
    ( spl20_131
    | spl20_1
    | spl20_3
    | ~ spl20_50
    | ~ spl20_105
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f12671,f3550,f890,f616,f398,f388,f1171]) ).

fof(f12671,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_105
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f12670]) ).

fof(f12670,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_105
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f12403,f891]) ).

fof(f12403,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f12382,f617]) ).

fof(f12382,plain,
    ( e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f158,f3551]) ).

fof(f12660,plain,
    ( spl20_17
    | spl20_6
    | spl20_5
    | ~ spl20_96
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f12580,f914,f910,f851,f408,f413,f462]) ).

fof(f12580,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | ~ spl20_96
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f12579]) ).

fof(f12579,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_96
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f12144,f915]) ).

fof(f12540,plain,
    ( spl20_102
    | spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f12501,f927,f543,f516,f403,f393,f877]) ).

fof(f12501,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f12500]) ).

fof(f12500,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f2210,f928]) ).

fof(f2210,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_29
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f1695,f518]) ).

fof(f1695,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f178,f545]) ).

fof(f12492,plain,
    ( spl20_1
    | ~ spl20_13
    | ~ spl20_29
    | ~ spl20_102
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f12474,f896,f877,f516,f444,f388]) ).

fof(f12474,plain,
    ( e0 = e1
    | ~ spl20_13
    | ~ spl20_29
    | ~ spl20_102
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3118,f897]) ).

fof(f3118,plain,
    ( e1 = op(e1,e2)
    | ~ spl20_13
    | ~ spl20_29
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f518,f2187]) ).

fof(f12447,plain,
    ( spl20_103
    | spl20_29
    | spl20_2
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f12440,f896,f877,f444,f393,f516,f882]) ).

fof(f12440,plain,
    ( e0 = e2
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f12432,f897]) ).

fof(f12432,plain,
    ( e2 = op(e1,e2)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(duplicate_literal_removal,[],[f11577]) ).

fof(f11577,plain,
    ( e2 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f11576,f2187]) ).

fof(f11576,plain,
    ( e2 = op(e1,e2)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f188,f2187]) ).

fof(f188,plain,
    ( e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f12428,plain,
    ( spl20_111
    | spl20_1
    | spl20_3
    | spl20_2
    | ~ spl20_19
    | ~ spl20_110
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f7521,f6967,f914,f471,f393,f398,f388,f918]) ).

fof(f7521,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_110
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7441,f6969]) ).

fof(f7441,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6631,f473]) ).

fof(f6631,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f173,f915]) ).

fof(f12422,plain,
    ( spl20_138
    | spl20_102
    | spl20_4
    | spl20_6
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f7440,f914,f471,f413,f403,f877,f6967]) ).

fof(f7440,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6632,f473]) ).

fof(f6632,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f177,f915]) ).

fof(f12412,plain,
    ( spl20_106
    | spl20_100
    | spl20_2
    | spl20_3
    | ~ spl20_23
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f6629,f1057,f489,f398,f393,f869,f896]) ).

fof(f6629,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f5799,f1059]) ).

fof(f5799,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f166,f491]) ).

fof(f12402,plain,
    ( spl20_131
    | spl20_3
    | spl20_2
    | spl20_1
    | ~ spl20_50
    | ~ spl20_108
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f12364,f3550,f904,f616,f388,f393,f398,f1171]) ).

fof(f12364,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_108
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10042,f617]) ).

fof(f10042,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_108
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5152,f905]) ).

fof(f12362,plain,
    ( spl20_19
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_33
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f12336,f1008,f944,f534,f408,f413,f398,f471]) ).

fof(f12336,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_33
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8538,f536]) ).

fof(f8538,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1235,f945]) ).

fof(f1235,plain,
    ( e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f156,f1010]) ).

fof(f12348,plain,
    ( spl20_108
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_50
    | ~ spl20_131
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f12273,f3550,f1171,f616,f393,f413,f403,f904]) ).

fof(f12273,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_131
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10096,f1173]) ).

fof(f10096,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | ~ spl20_50
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f8477,f3551]) ).

fof(f8477,plain,
    ( e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f162,f617]) ).

fof(f12334,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_33
    | ~ spl20_109
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f12250,f1008,f944,f910,f534,f413,f408,f398]) ).

fof(f12250,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_33
    | ~ spl20_109
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f12249]) ).

fof(f12249,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_33
    | ~ spl20_109
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8596,f911]) ).

fof(f8596,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_33
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8355,f945]) ).

fof(f8355,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | op(e0,e0) = e3
    | ~ spl20_33
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8354,f536]) ).

fof(f8354,plain,
    ( e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f156,f1010]) ).

fof(f12316,plain,
    ( ~ spl20_10
    | spl20_29
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f12222,f890,f516,f430]) ).

fof(f12222,plain,
    ( e1 = op(e1,e3)
    | ~ sP19
    | ~ spl20_105 ),
    inference(trivial_inequality_removal,[],[f12221]) ).

fof(f12221,plain,
    ( e3 != e3
    | e1 = op(e1,e3)
    | ~ sP19
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f199,f891]) ).

fof(f12214,plain,
    ( spl20_96
    | spl20_5
    | spl20_1
    | spl20_4
    | ~ spl20_15
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f12197,f1171,f910,f453,f403,f388,f408,f851]) ).

fof(f12197,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f12196,f911]) ).

fof(f12196,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f5273,f1173]) ).

fof(f5273,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f175,f455]) ).

fof(f12195,plain,
    ( ~ spl20_96
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f11482,f1171,f910,f851]) ).

fof(f11482,plain,
    ( e1 != op(e3,e3)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(trivial_inequality_removal,[],[f11347]) ).

fof(f12140,plain,
    ( spl20_129
    | spl20_131
    | spl20_2
    | spl20_1
    | ~ spl20_54
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f7711,f953,f637,f388,f393,f1171,f1128]) ).

fof(f7711,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_54
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f7611,f638]) ).

fof(f7611,plain,
    ( e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f158,f954]) ).

fof(f12139,plain,
    ( ~ spl20_16
    | ~ spl20_96
    | ~ spl20_17 ),
    inference(avatar_split_clause,[],[f231,f462,f851,f458]) ).

fof(f231,plain,
    ( e3 != op(e3,e1)
    | e1 != op(e3,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f12054,plain,
    ( ~ spl20_28
    | ~ spl20_120
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f11910,f543,f957,f512]) ).

fof(f11910,plain,
    ( op(e0,e0) != e3
    | ~ sP7
    | ~ spl20_35 ),
    inference(trivial_inequality_removal,[],[f11909]) ).

fof(f11995,plain,
    ( ~ spl20_34
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f11361,f957,f543,f539]) ).

fof(f11361,plain,
    ( ~ sP3
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f11360]) ).

fof(f11894,plain,
    ( spl20_1
    | ~ spl20_35
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f8658,f949,f543,f388]) ).

fof(f8658,plain,
    ( e0 = e1
    | ~ spl20_35
    | ~ spl20_118 ),
    inference(superposition,[],[f545,f950]) ).

fof(f11879,plain,
    ( spl20_3
    | ~ spl20_15
    | ~ spl20_35
    | ~ spl20_110
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f11877,f949,f914,f543,f453,f398]) ).

fof(f11877,plain,
    ( e0 = e3
    | ~ spl20_15
    | ~ spl20_35
    | ~ spl20_110
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f455,f11725]) ).

fof(f11725,plain,
    ( e0 = op(e3,e2)
    | ~ spl20_35
    | ~ spl20_110
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f915,f8658]) ).

fof(f11733,plain,
    ( ~ spl20_122
    | ~ spl20_35
    | spl20_54
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f8759,f949,f637,f543,f1008]) ).

fof(f8759,plain,
    ( e0 != op(e2,e0)
    | ~ spl20_35
    | spl20_54
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f639,f8658]) ).

fof(f639,plain,
    ( e1 != op(e2,e1)
    | spl20_54 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f11649,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_35
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f11630,f927,f882,f877,f543,f398,f408,f413]) ).

fof(f11630,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_35
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f11629]) ).

fof(f11629,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_35
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f11628,f545]) ).

fof(f11628,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e0,e3)
    | ~ spl20_102
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f11627,f883]) ).

fof(f11627,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_102
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f11626,f928]) ).

fof(f11626,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f180,f878]) ).

fof(f11610,plain,
    ( spl20_106
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f11609,f882,f877,f444,f896]) ).

fof(f11609,plain,
    ( e0 = op(e1,e2)
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f883,f2187]) ).

fof(f11570,plain,
    ( spl20_132
    | spl20_2
    | spl20_4
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f11540,f896,f534,f435,f403,f393,f1687]) ).

fof(f11540,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(duplicate_literal_removal,[],[f11539]) ).

fof(f11539,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f10733,f536]) ).

fof(f10733,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f10732,f437]) ).

fof(f10732,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f161,f897]) ).

fof(f11549,plain,
    ( spl20_133
    | spl20_3
    | spl20_5
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f11537,f896,f534,f435,f408,f398,f1864]) ).

fof(f11537,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(duplicate_literal_removal,[],[f11536]) ).

fof(f11536,plain,
    ( e1 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f11199,f536]) ).

fof(f11199,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f6386,f897]) ).

fof(f11535,plain,
    ( spl20_106
    | spl20_103
    | spl20_1
    | ~ spl20_11
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f11507,f534,f435,f388,f882,f896]) ).

fof(f11507,plain,
    ( e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f11506]) ).

fof(f11506,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f11505,f536]) ).

fof(f11505,plain,
    ( e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f157,f437]) ).

fof(f11521,plain,
    ( spl20_128
    | spl20_6
    | spl20_5
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f11503,f1687,f534,f435,f408,f413,f1124]) ).

fof(f11503,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f11502]) ).

fof(f11502,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11501,f536]) ).

fof(f11501,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f6386,f1688]) ).

fof(f11500,plain,
    ( spl20_100
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_23
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f11483,f1124,f936,f489,f388,f398,f393,f869]) ).

fof(f11483,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_115
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f6485,f937]) ).

fof(f6485,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f5799,f1125]) ).

fof(f11478,plain,
    ( ~ spl20_32
    | ~ spl20_129
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f11474,f534,f1128,f530]) ).

fof(f11474,plain,
    ( e0 != op(e1,e1)
    | ~ sP4
    | ~ spl20_33 ),
    inference(trivial_inequality_removal,[],[f11473]) ).

fof(f11473,plain,
    ( e1 != e1
    | e0 != op(e1,e1)
    | ~ sP4
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f274,f536]) ).

fof(f274,plain,
    ( e1 != op(e1,e0)
    | e0 != op(e1,e1)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f11470,plain,
    ( spl20_129
    | spl20_131
    | spl20_3
    | spl20_2
    | ~ spl20_119
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f11405,f3550,f953,f393,f398,f1171,f1128]) ).

fof(f11405,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_119
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5152,f954]) ).

fof(f11463,plain,
    ( spl20_128
    | spl20_15
    | spl20_6
    | spl20_5
    | ~ spl20_23
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f10970,f936,f489,f408,f413,f453,f1124]) ).

fof(f10970,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f5897,f937]) ).

fof(f5897,plain,
    ( e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f172,f491]) ).

fof(f11401,plain,
    ( ~ spl20_34
    | ~ spl20_35
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f11361,f957,f543,f539]) ).

fof(f11340,plain,
    ( spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f11309,f1925,f1687,f918,f543,f388,f408,f403]) ).

fof(f11309,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f11308]) ).

fof(f11308,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = e3
    | e1 = e2
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8360,f545]) ).

fof(f8360,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3220,f919]) ).

fof(f3220,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f2721,f1927]) ).

fof(f2721,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f176,f1688]) ).

fof(f11276,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f11238,f1687,f927,f918,f543,f413,f398,f408]) ).

fof(f11238,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11185,f1688]) ).

fof(f11185,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f11184]) ).

fof(f11184,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f10994,f545]) ).

fof(f10994,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f10611,f919]) ).

fof(f10611,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f180,f928]) ).

fof(f11260,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_11
    | ~ spl20_104
    | ~ spl20_106
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f11229,f1687,f896,f886,f435,f413,f408,f398]) ).

fof(f11229,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_11
    | ~ spl20_104
    | ~ spl20_106
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f11228]) ).

fof(f11228,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_11
    | ~ spl20_104
    | ~ spl20_106
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11227,f887]) ).

fof(f11227,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_106
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11226,f437]) ).

fof(f11226,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_106
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2731,f897]) ).

fof(f2731,plain,
    ( e2 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f163,f1688]) ).

fof(f11225,plain,
    ( spl20_4
    | ~ spl20_11
    | ~ spl20_105
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f11224,f1687,f890,f435,f403]) ).

fof(f11224,plain,
    ( e1 = e2
    | ~ spl20_11
    | ~ spl20_105
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f11223,f437]) ).

fof(f11223,plain,
    ( e2 = op(e1,e1)
    | ~ spl20_11
    | ~ spl20_105
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f1688,f11202]) ).

fof(f11214,plain,
    ( spl20_132
    | spl20_4
    | spl20_2
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f11179,f927,f918,f543,f393,f403,f1687]) ).

fof(f11179,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f11178]) ).

fof(f11178,plain,
    ( e0 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f8847,f545]) ).

fof(f8847,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f7593,f919]) ).

fof(f7593,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f178,f928]) ).

fof(f11173,plain,
    ( spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f11084,f927,f918,f543,f516,f403,f393]) ).

fof(f11084,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f11083]) ).

fof(f11083,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4476,f518]) ).

fof(f4476,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f2601,f928]) ).

fof(f2601,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f2600]) ).

fof(f2600,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f1695,f919]) ).

fof(f11130,plain,
    ( ~ spl20_7
    | spl20_5
    | ~ spl20_101
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f10751,f918,f873,f408,f418]) ).

fof(f10751,plain,
    ( e1 = e3
    | ~ sP16
    | ~ spl20_101
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f10607,f874]) ).

fof(f10607,plain,
    ( e3 = op(e3,e0)
    | ~ sP16
    | ~ spl20_111 ),
    inference(trivial_inequality_removal,[],[f9267]) ).

fof(f11077,plain,
    ( spl20_4
    | ~ spl20_29
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f10983,f1687,f516,f403]) ).

fof(f10983,plain,
    ( e1 = e2
    | ~ spl20_29
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f1688,f518]) ).

fof(f10950,plain,
    ( spl20_4
    | ~ spl20_101
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f10026,f910,f873,f403]) ).

fof(f10026,plain,
    ( e1 = e2
    | ~ spl20_101
    | ~ spl20_109 ),
    inference(superposition,[],[f874,f911]) ).

fof(f10745,plain,
    ( spl20_33
    | ~ spl20_11
    | ~ spl20_101
    | ~ spl20_107
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f10743,f3550,f910,f900,f873,f435,f534]) ).

fof(f10743,plain,
    ( e1 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_101
    | ~ spl20_107
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f901,f10739]) ).

fof(f10739,plain,
    ( e1 = e3
    | ~ spl20_11
    | ~ spl20_101
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10044,f437]) ).

fof(f10044,plain,
    ( e3 = op(e1,e1)
    | ~ spl20_101
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f3551,f10026]) ).

fof(f10729,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_41
    | ~ spl20_101
    | ~ spl20_104
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f10692,f1008,f886,f873,f570,f413,f408,f398]) ).

fof(f10692,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_41
    | ~ spl20_101
    | ~ spl20_104
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f10691,f887]) ).

fof(f10691,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_101
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f10604,f874]) ).

fof(f10604,plain,
    ( e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f9752]) ).

fof(f9752,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8354,f572]) ).

fof(f10680,plain,
    ( spl20_6
    | ~ spl20_104
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f1843,f900,f886,f413]) ).

fof(f1843,plain,
    ( e2 = e3
    | ~ spl20_104
    | ~ spl20_107 ),
    inference(superposition,[],[f887,f901]) ).

fof(f10601,plain,
    ( spl20_129
    | spl20_103
    | spl20_1
    | spl20_3
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f5445,f900,f525,f398,f388,f882,f1128]) ).

fof(f5445,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1445,f901]) ).

fof(f1445,plain,
    ( e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f157,f527]) ).

fof(f10596,plain,
    ( spl20_107
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_101
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f10588,f1008,f944,f873,f413,f408,f398,f900]) ).

fof(f10588,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_101
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8507,f945]) ).

fof(f8507,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_101
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1235,f874]) ).

fof(f10587,plain,
    ( spl20_33
    | spl20_101
    | spl20_1
    | spl20_4
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f8537,f1008,f944,f403,f388,f873,f534]) ).

fof(f8537,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8086,f945]) ).

fof(f10582,plain,
    ( spl20_102
    | spl20_4
    | spl20_2
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f10522,f927,f882,f543,f393,f403,f877]) ).

fof(f10522,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f10521]) ).

fof(f10521,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f10520,f883]) ).

fof(f10520,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f3941,f928]) ).

fof(f10484,plain,
    ( spl20_102
    | spl20_6
    | spl20_2
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f3992,f1171,f471,f453,f393,f413,f877]) ).

fof(f3992,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3780,f1173]) ).

fof(f3780,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f3779]) ).

fof(f3779,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f2025,f473]) ).

fof(f10406,plain,
    ( spl20_131
    | spl20_111
    | spl20_3
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(avatar_split_clause,[],[f10165,f471,f453,f398,f918,f1171]) ).

fof(f10165,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f8108]) ).

fof(f8108,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f7977,f455]) ).

fof(f10383,plain,
    ( spl20_123
    | spl20_111
    | spl20_3
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(avatar_split_clause,[],[f8502,f462,f453,f398,f918,f1012]) ).

fof(f8502,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1363,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f1138,f455]) ).

fof(f10354,plain,
    ( spl20_2
    | ~ spl20_108
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f8997,f1128,f904,f393]) ).

fof(f8997,plain,
    ( e0 = e2
    | ~ spl20_108
    | ~ spl20_129 ),
    inference(superposition,[],[f905,f1129]) ).

fof(f10303,plain,
    ( spl20_19
    | spl20_3
    | spl20_6
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f8707,f1008,f949,f944,f543,f413,f398,f471]) ).

fof(f8707,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f8706]) ).

fof(f8706,plain,
    ( e2 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8705,f945]) ).

fof(f8705,plain,
    ( op(e0,e0) = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8538,f8658]) ).

fof(f10282,plain,
    ( spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f10207,f1171,f471,f453,f388,f408,f851]) ).

fof(f10207,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f8112,f1173]) ).

fof(f8112,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f8111]) ).

fof(f8111,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f7978,f455]) ).

fof(f10160,plain,
    ( spl20_2
    | ~ spl20_103
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f2977,f1687,f882,f393]) ).

fof(f2977,plain,
    ( e0 = e2
    | ~ spl20_103
    | ~ spl20_132 ),
    inference(superposition,[],[f883,f1688]) ).

fof(f10085,plain,
    ( spl20_1
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f10078,f1864,f882,f534,f388]) ).

fof(f10078,plain,
    ( e0 = e1
    | ~ spl20_33
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f536,f9827]) ).

fof(f9827,plain,
    ( e0 = op(e1,e0)
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f883,f4115]) ).

fof(f4115,plain,
    ( e0 = e3
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(superposition,[],[f1866,f883]) ).

fof(f10047,plain,
    ( spl20_131
    | spl20_3
    | spl20_1
    | ~ spl20_50
    | ~ spl20_101
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f10037,f3550,f910,f904,f873,f616,f388,f398,f1171]) ).

fof(f10037,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_101
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f10036]) ).

fof(f10036,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_101
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10035,f617]) ).

fof(f10035,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_101
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f10034,f10026]) ).

fof(f10034,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_108
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f9585,f905]) ).

fof(f9585,plain,
    ( e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f158,f3551]) ).

fof(f10033,plain,
    ( spl20_136
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_23
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f9996,f1008,f927,f489,f398,f413,f408,f3550]) ).

fof(f9996,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8853,f1010]) ).

fof(f8853,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4896,f491]) ).

fof(f10025,plain,
    ( spl20_33
    | spl20_101
    | spl20_1
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f9845,f1008,f570,f388,f873,f534]) ).

fof(f9845,plain,
    ( e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f9844]) ).

fof(f9844,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8086,f572]) ).

fof(f10005,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f9982,f1027,f927,f882,f851,f413,f398,f408]) ).

fof(f9982,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f9981,f1029]) ).

fof(f9981,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f9980,f883]) ).

fof(f9980,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f9979]) ).

fof(f9979,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_96
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f9539,f852]) ).

fof(f9539,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f180,f928]) ).

fof(f9961,plain,
    ( spl20_131
    | spl20_2
    | spl20_1
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f9926,f904,f637,f616,f388,f393,f1171]) ).

fof(f9926,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(duplicate_literal_removal,[],[f9925]) ).

fof(f9925,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e2
    | e0 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f9924,f617]) ).

fof(f9924,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f8446,f638]) ).

fof(f8446,plain,
    ( e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e0,e1)
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f158,f905]) ).

fof(f9951,plain,
    ( spl20_17
    | spl20_6
    | spl20_5
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f9923,f904,f637,f616,f408,f413,f462]) ).

fof(f9923,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(duplicate_literal_removal,[],[f9922]) ).

fof(f9922,plain,
    ( e1 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | ~ spl20_50
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f9921,f617]) ).

fof(f9921,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e0,e1)
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f8448,f638]) ).

fof(f9904,plain,
    ( spl20_107
    | spl20_3
    | spl20_6
    | ~ spl20_41
    | ~ spl20_109
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f9849,f1008,f910,f570,f413,f398,f900]) ).

fof(f9849,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_109
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f9753,f911]) ).

fof(f9753,plain,
    ( e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f9752]) ).

fof(f9885,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f9848,f1171,f910,f869,f851,f413,f408,f398]) ).

fof(f9848,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f9847,f911]) ).

fof(f9847,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | ~ spl20_96
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f9743,f852]) ).

fof(f9743,plain,
    ( e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f9742]) ).

fof(f9742,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f9623,f1173]) ).

fof(f9883,plain,
    ( ~ spl20_119
    | spl20_74
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f4969,f1027,f738,f953]) ).

fof(f4969,plain,
    ( e2 != op(e0,e1)
    | spl20_74
    | ~ spl20_125 ),
    inference(superposition,[],[f740,f1029]) ).

fof(f9840,plain,
    ( spl20_1
    | ~ spl20_41
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f9829,f1864,f882,f851,f570,f388]) ).

fof(f9829,plain,
    ( e0 = e1
    | ~ spl20_41
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f9828,f572]) ).

fof(f9828,plain,
    ( op(e0,e0) = e1
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f852,f4115]) ).

fof(f9794,plain,
    ( spl20_102
    | spl20_6
    | spl20_4
    | ~ spl20_118
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f9755,f1925,f1864,f949,f403,f413,f877]) ).

fof(f9755,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_118
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8570,f950]) ).

fof(f8570,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7981]) ).

fof(f7981,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f4534,f1927]) ).

fof(f9735,plain,
    ( spl20_111
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_118
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f9714,f1925,f1687,f949,f388,f398,f393,f918]) ).

fof(f9714,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_118
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3246,f950]) ).

fof(f3246,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f2722,f1927]) ).

fof(f9707,plain,
    ( spl20_96
    | spl20_4
    | spl20_1
    | ~ spl20_100
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f9694,f1171,f910,f869,f388,f403,f851]) ).

fof(f9694,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_100
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f9693]) ).

fof(f9693,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_100
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f5800,f870]) ).

fof(f5800,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_109
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1518,f911]) ).

fof(f1518,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f175,f1173]) ).

fof(f9705,plain,
    ( ~ spl20_135
    | ~ spl20_23
    | spl20_61 ),
    inference(avatar_split_clause,[],[f5650,f673,f489,f2159]) ).

fof(f673,plain,
    ( spl20_61
  <=> op(e1,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).

fof(f5650,plain,
    ( e2 != op(e1,e2)
    | ~ spl20_23
    | spl20_61 ),
    inference(superposition,[],[f675,f491]) ).

fof(f675,plain,
    ( op(e1,e2) != op(e2,e2)
    | spl20_61 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f9692,plain,
    ( spl20_131
    | spl20_1
    | spl20_3
    | spl20_2
    | ~ spl20_54
    | ~ spl20_105
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f9686,f953,f890,f637,f393,f398,f388,f1171]) ).

fof(f9686,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e1
    | e0 = op(e3,e1)
    | ~ spl20_54
    | ~ spl20_105
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f5320,f954]) ).

fof(f5320,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_54
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f5319,f891]) ).

fof(f5319,plain,
    ( e0 = e1
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f158,f638]) ).

fof(f9683,plain,
    ( spl20_132
    | spl20_21
    | spl20_4
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f9673,f949,f851,f403,f480,f1687]) ).

fof(f9673,plain,
    ( e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f9672]) ).

fof(f9672,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f7523,f950]) ).

fof(f9671,plain,
    ( spl20_96
    | spl20_5
    | spl20_4
    | spl20_1
    | ~ spl20_17
    | ~ spl20_100
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f9658,f910,f869,f462,f388,f403,f408,f851]) ).

fof(f9658,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_100
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1422,f870]) ).

fof(f1422,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1229,f911]) ).

fof(f9650,plain,
    ( spl20_105
    | spl20_17
    | spl20_5
    | spl20_6
    | ~ spl20_54
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f7647,f953,f637,f413,f408,f462,f890]) ).

fof(f7647,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_54
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f6538,f954]) ).

fof(f6538,plain,
    ( e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f164,f638]) ).

fof(f9619,plain,
    ( spl20_54
    | spl20_113
    | spl20_4
    | spl20_1
    | ~ spl20_23
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5039,f1008,f489,f388,f403,f927,f637]) ).

fof(f5039,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4844,f1010]) ).

fof(f4844,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f167,f491]) ).

fof(f9592,plain,
    ( spl20_13
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f9423,f910,f869,f648,f413,f398,f408,f444]) ).

fof(f9423,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f4384,f911]) ).

fof(f4384,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f2242,f870]) ).

fof(f2242,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f179,f649]) ).

fof(f9587,plain,
    ( spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_102
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f9547,f910,f877,f869,f648,f408,f398,f413]) ).

fof(f9547,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_102
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f9546,f649]) ).

fof(f9546,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e3,e1)
    | ~ spl20_100
    | ~ spl20_102
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f5879,f870]) ).

fof(f5879,plain,
    ( e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | ~ spl20_102
    | ~ spl20_109 ),
    inference(duplicate_literal_removal,[],[f4465]) ).

fof(f4465,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | ~ spl20_102
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f2264,f878]) ).

fof(f2264,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f179,f911]) ).

fof(f9581,plain,
    ( ~ spl20_7
    | spl20_33
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f9270,f1128,f534,f418]) ).

fof(f9270,plain,
    ( e1 = op(e1,e0)
    | ~ sP16
    | ~ spl20_129 ),
    inference(trivial_inequality_removal,[],[f9269]) ).

fof(f9269,plain,
    ( e0 != e0
    | e1 = op(e1,e0)
    | ~ sP16
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f214,f1129]) ).

fof(f214,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f9534,plain,
    ( spl20_111
    | spl20_2
    | spl20_1
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f9496,f1687,f949,f927,f388,f393,f918]) ).

fof(f9496,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f9495]) ).

fof(f9495,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f4903,f950]) ).

fof(f4903,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | ~ spl20_113
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2722,f928]) ).

fof(f9510,plain,
    ( spl20_13
    | spl20_6
    | spl20_5
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f9494,f1687,f949,f927,f408,f413,f444]) ).

fof(f9494,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f9493]) ).

fof(f9493,plain,
    ( e1 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_113
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f4906,f950]) ).

fof(f4906,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | ~ spl20_113
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2875,f928]) ).

fof(f2875,plain,
    ( e2 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f180,f1688]) ).

fof(f9490,plain,
    ( spl20_132
    | spl20_102
    | spl20_4
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f9477,f949,f927,f403,f877,f1687]) ).

fof(f9477,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f9476]) ).

fof(f9476,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f7593,f950]) ).

fof(f9473,plain,
    ( spl20_136
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_56
    | ~ spl20_119
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f9411,f1128,f953,f648,f413,f398,f408,f3550]) ).

fof(f9411,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_56
    | ~ spl20_119
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f9410,f954]) ).

fof(f9410,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f3249,f1129]) ).

fof(f3249,plain,
    ( e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f164,f649]) ).

fof(f9451,plain,
    ( spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f9418,f936,f869,f525,f489,f408,f413,f398]) ).

fof(f9418,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f9417]) ).

fof(f9417,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f4549,f937]) ).

fof(f4549,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f4282,f491]) ).

fof(f4282,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | e3 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f1420,f870]) ).

fof(f1420,plain,
    ( e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e0,e2)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f172,f527]) ).

fof(f9392,plain,
    ( spl20_5
    | ~ spl20_118
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f8118,f1061,f949,f408]) ).

fof(f8118,plain,
    ( e1 = e3
    | ~ spl20_118
    | ~ spl20_127 ),
    inference(superposition,[],[f950,f1063]) ).

fof(f9351,plain,
    ( spl20_129
    | spl20_103
    | spl20_1
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f8820,f534,f525,f388,f882,f1128]) ).

fof(f8820,plain,
    ( e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f8273]) ).

fof(f8273,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f1445,f536]) ).

fof(f9318,plain,
    ( spl20_2
    | ~ spl20_41
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f9311,f1027,f957,f570,f393]) ).

fof(f9311,plain,
    ( e0 = e2
    | ~ spl20_41
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f9310,f572]) ).

fof(f9310,plain,
    ( op(e0,e0) = e2
    | ~ spl20_41
    | ~ spl20_120
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f1029,f9286]) ).

fof(f9289,plain,
    ( spl20_100
    | spl20_2
    | spl20_1
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f9246,f936,f525,f489,f388,f393,f869]) ).

fof(f9246,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(duplicate_literal_removal,[],[f9245]) ).

fof(f9245,plain,
    ( e0 = e1
    | e0 = e1
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f1082,f527]) ).

fof(f1082,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f1081,f937]) ).

fof(f1081,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f166,f491]) ).

fof(f9271,plain,
    ( ~ spl20_7
    | spl20_2
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f9266,f944,f393,f418]) ).

fof(f9266,plain,
    ( e0 = e2
    | ~ sP16
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f212,f945]) ).

fof(f9265,plain,
    ( ~ spl20_9
    | spl20_37
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f9208,f944,f552,f426]) ).

fof(f9208,plain,
    ( e0 = op(e0,e2)
    | ~ sP18
    | ~ spl20_117 ),
    inference(trivial_inequality_removal,[],[f9207]) ).

fof(f9207,plain,
    ( e2 != e2
    | e0 = op(e0,e2)
    | ~ sP18
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f203,f945]) ).

fof(f203,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2
    | ~ sP18 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f9206,plain,
    ( spl20_2
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f9151,f1687,f1128,f1061,f949,f393]) ).

fof(f9151,plain,
    ( e0 = e2
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f9150,f1129]) ).

fof(f9150,plain,
    ( e2 = op(e1,e1)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f1688,f8118]) ).

fof(f9118,plain,
    ( spl20_103
    | ~ spl20_108
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f9084,f1687,f1128,f904,f882]) ).

fof(f9084,plain,
    ( e0 = op(e1,e3)
    | ~ spl20_108
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f1688,f8997]) ).

fof(f9001,plain,
    ( spl20_2
    | ~ spl20_41
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f8544,f944,f570,f393]) ).

fof(f8544,plain,
    ( e0 = e2
    | ~ spl20_41
    | ~ spl20_117 ),
    inference(superposition,[],[f572,f945]) ).

fof(f8979,plain,
    ( spl20_1
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f8970,f1864,f1687,f1008,f944,f570,f388]) ).

fof(f8970,plain,
    ( e0 = e1
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f8969]) ).

fof(f8969,plain,
    ( e0 = e1
    | e0 = e1
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8968,f8942]) ).

fof(f8942,plain,
    ( e0 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8941,f8544]) ).

fof(f8941,plain,
    ( e2 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f1688,f8940]) ).

fof(f8940,plain,
    ( e0 = e3
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f2690,f8544]) ).

fof(f2690,plain,
    ( e2 = e3
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(superposition,[],[f1688,f1866]) ).

fof(f8968,plain,
    ( e0 = e1
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f8967]) ).

fof(f8967,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8966,f8544]) ).

fof(f8966,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8965,f945]) ).

fof(f8965,plain,
    ( op(e0,e0) = e1
    | e0 = e1
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8964,f8940]) ).

fof(f8964,plain,
    ( e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f8963]) ).

fof(f8963,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e0)
    | e1 = op(e1,e0)
    | ~ spl20_41
    | ~ spl20_117
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f8537,f8544]) ).

fof(f8961,plain,
    ( spl20_1
    | ~ spl20_41
    | ~ spl20_113
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f8960,f1864,f1687,f1008,f944,f927,f570,f388]) ).

fof(f8960,plain,
    ( e0 = e1
    | ~ spl20_41
    | ~ spl20_113
    | ~ spl20_117
    | ~ spl20_122
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f8959,f1010]) ).

fof(f8959,plain,
    ( e1 = op(e2,e0)
    | ~ spl20_41
    | ~ spl20_113
    | ~ spl20_117
    | ~ spl20_132
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f928,f8940]) ).

fof(f8918,plain,
    ( spl20_113
    | spl20_4
    | spl20_1
    | ~ spl20_23
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f8779,f1167,f1008,f489,f388,f403,f927]) ).

fof(f8779,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f8376]) ).

fof(f8376,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f6724,f1010]) ).

fof(f6724,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4177,f491]) ).

fof(f8895,plain,
    ( spl20_132
    | spl20_4
    | spl20_2
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f8863,f1128,f534,f525,f393,f403,f1687]) ).

fof(f8863,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f8821,f1129]) ).

fof(f8821,plain,
    ( e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f8275]) ).

fof(f8275,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f1596,f536]) ).

fof(f1596,plain,
    ( e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f161,f527]) ).

fof(f8893,plain,
    ( ~ spl20_124
    | ~ spl20_23
    | spl20_59 ),
    inference(avatar_split_clause,[],[f5074,f663,f489,f1023]) ).

fof(f5074,plain,
    ( e2 != op(e0,e2)
    | ~ spl20_23
    | spl20_59 ),
    inference(superposition,[],[f665,f491]) ).

fof(f8892,plain,
    ( spl20_132
    | spl20_2
    | spl20_4
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f8849,f949,f927,f918,f403,f393,f1687]) ).

fof(f8849,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(duplicate_literal_removal,[],[f8848]) ).

fof(f8848,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f8847,f950]) ).

fof(f8818,plain,
    ( spl20_3
    | spl20_6
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f8769,f1012,f1008,f949,f944,f543,f413,f398]) ).

fof(f8769,plain,
    ( e2 = e3
    | e0 = e3
    | ~ spl20_35
    | ~ spl20_117
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f8768,f945]) ).

fof(f8768,plain,
    ( op(e0,e0) = e3
    | e0 = e3
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f8767]) ).

fof(f8767,plain,
    ( op(e0,e0) = e3
    | e0 = e3
    | op(e0,e0) = e3
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f8766,f8658]) ).

fof(f8766,plain,
    ( e0 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f8765]) ).

fof(f8765,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_122
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1099,f1010]) ).

fof(f1099,plain,
    ( e0 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f156,f1014]) ).

fof(f8775,plain,
    ( spl20_6
    | spl20_2
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f8739,f1128,f1008,f949,f940,f648,f543,f393,f413]) ).

fof(f8739,plain,
    ( e0 = e2
    | e2 = e3
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f8738]) ).

fof(f8738,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_122
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f8737,f1010]) ).

fof(f8737,plain,
    ( e2 = op(e2,e0)
    | e0 = e2
    | e2 = e3
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f8736,f8658]) ).

fof(f8736,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e2,e1)
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f8735]) ).

fof(f8735,plain,
    ( e0 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e2,e1)
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_118
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f4073,f8658]) ).

fof(f4073,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2451,f941]) ).

fof(f2451,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2450,f1129]) ).

fof(f2450,plain,
    ( e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f162,f649]) ).

fof(f8760,plain,
    ( spl20_123
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_118 ),
    inference(avatar_split_clause,[],[f8758,f949,f648,f543,f1012]) ).

fof(f8758,plain,
    ( e0 = op(e3,e0)
    | ~ spl20_35
    | ~ spl20_56
    | ~ spl20_118 ),
    inference(forward_demodulation,[],[f649,f8658]) ).

fof(f8680,plain,
    ( spl20_2
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f8679,f1687,f949,f543,f393]) ).

fof(f8679,plain,
    ( e0 = e2
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f8678,f8658]) ).

fof(f8678,plain,
    ( e1 = e2
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f8677,f950]) ).

fof(f8677,plain,
    ( e2 = op(e0,e3)
    | ~ spl20_35
    | ~ spl20_118
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f1688,f8658]) ).

fof(f8663,plain,
    ( spl20_132
    | spl20_6
    | spl20_2
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f8657,f1925,f918,f543,f393,f413,f1687]) ).

fof(f8657,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f8656]) ).

fof(f8656,plain,
    ( e0 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3674,f919]) ).

fof(f3674,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f1695,f1927]) ).

fof(f8643,plain,
    ( spl20_4
    | ~ spl20_118
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f8642,f1027,f949,f403]) ).

fof(f8642,plain,
    ( e1 = e2
    | ~ spl20_118
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f1029,f950]) ).

fof(f8636,plain,
    ( spl20_125
    | spl20_6
    | spl20_2
    | ~ spl20_111
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f8579,f1925,f1864,f918,f393,f413,f1027]) ).

fof(f8579,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f7982,f919]) ).

fof(f7982,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7981]) ).

fof(f8565,plain,
    ( spl20_29
    | spl20_133
    | spl20_103
    | ~ spl20_41
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f8563,f944,f570,f882,f1864,f516]) ).

fof(f8563,plain,
    ( e0 = op(e1,e3)
    | e3 = op(e1,e3)
    | e1 = op(e1,e3)
    | ~ spl20_41
    | ~ spl20_117 ),
    inference(duplicate_literal_removal,[],[f8562]) ).

fof(f8562,plain,
    ( e0 = op(e1,e3)
    | e3 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | ~ spl20_41
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f188,f8544]) ).

fof(f8547,plain,
    ( spl20_113
    | spl20_4
    | spl20_1
    | spl20_5
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f8490,f1687,f1061,f918,f408,f388,f403,f927]) ).

fof(f8490,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f8364,f1063]) ).

fof(f8364,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | ~ spl20_111
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2721,f919]) ).

fof(f8542,plain,
    ( spl20_109
    | spl20_6
    | spl20_2
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f8517,f918,f462,f453,f393,f413,f910]) ).

fof(f8517,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f8503,f919]) ).

fof(f8503,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f3512]) ).

fof(f3512,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f2025,f464]) ).

fof(f8525,plain,
    ( spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_101
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f8512,f918,f873,f462,f453,f403,f393,f413]) ).

fof(f8512,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_101
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f8511,f874]) ).

fof(f8511,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f7605,f919]) ).

fof(f7605,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f3512]) ).

fof(f8500,plain,
    ( spl20_103
    | spl20_3
    | spl20_1
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f8483,f890,f534,f525,f388,f398,f882]) ).

fof(f8483,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(duplicate_literal_removal,[],[f8482]) ).

fof(f8482,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f4729,f536]) ).

fof(f4729,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f1445,f891]) ).

fof(f8488,plain,
    ( spl20_132
    | spl20_6
    | spl20_4
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f8481,f890,f534,f525,f403,f413,f1687]) ).

fof(f8481,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(duplicate_literal_removal,[],[f8480]) ).

fof(f8480,plain,
    ( e1 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f4730,f536]) ).

fof(f4730,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f1596,f891]) ).

fof(f8479,plain,
    ( spl20_105
    | spl20_133
    | spl20_5
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f8272,f534,f525,f408,f1864,f890]) ).

fof(f8272,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(duplicate_literal_removal,[],[f8271]) ).

fof(f8271,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f1853,f536]) ).

fof(f1853,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f163,f527]) ).

fof(f8475,plain,
    ( spl20_103
    | spl20_2
    | spl20_1
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f8415,f904,f534,f525,f388,f393,f882]) ).

fof(f8415,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(duplicate_literal_removal,[],[f8414]) ).

fof(f8414,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = e1
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f4169,f536]) ).

fof(f4169,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f1445,f905]) ).

fof(f8445,plain,
    ( spl20_109
    | spl20_6
    | spl20_2
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f8409,f1171,f918,f453,f393,f413,f910]) ).

fof(f8409,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f8408]) ).

fof(f8408,plain,
    ( e0 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3688,f919]) ).

fof(f3688,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1523,f455]) ).

fof(f8439,plain,
    ( spl20_101
    | spl20_5
    | spl20_1
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f8407,f1171,f918,f453,f388,f408,f873]) ).

fof(f8407,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f8406]) ).

fof(f8406,plain,
    ( e0 = e1
    | e1 = e3
    | e0 = e1
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_111
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3685,f919]) ).

fof(f3685,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1518,f455]) ).

fof(f8436,plain,
    ( spl20_105
    | spl20_6
    | spl20_5
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f8363,f1687,f534,f525,f408,f413,f890]) ).

fof(f8363,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f8362]) ).

fof(f8362,plain,
    ( e1 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_33
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f8361,f536]) ).

fof(f8361,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2731,f527]) ).

fof(f8393,plain,
    ( spl20_6
    | ~ spl20_54
    | ~ spl20_116
    | ~ spl20_117
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f8392,f1167,f944,f940,f637,f413]) ).

fof(f8392,plain,
    ( e2 = e3
    | ~ spl20_54
    | ~ spl20_116
    | ~ spl20_117
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f8391,f945]) ).

fof(f8391,plain,
    ( op(e0,e0) = e3
    | ~ spl20_54
    | ~ spl20_116
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f941,f1303]) ).

fof(f1303,plain,
    ( e0 = e1
    | ~ spl20_54
    | ~ spl20_130 ),
    inference(superposition,[],[f1169,f638]) ).

fof(f8372,plain,
    ( spl20_29
    | spl20_5
    | spl20_1
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f8315,f1925,f1061,f918,f388,f408,f516]) ).

fof(f8315,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e1,e3)
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8307,f919]) ).

fof(f8307,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7985]) ).

fof(f7985,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f7617,f1927]) ).

fof(f8358,plain,
    ( spl20_132
    | spl20_6
    | spl20_2
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f8313,f1925,f1061,f918,f393,f413,f1687]) ).

fof(f8313,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e1,e3)
    | ~ spl20_111
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f7990,f919]) ).

fof(f7990,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7989]) ).

fof(f7989,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f7616,f1927]) ).

fof(f7616,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f178,f1063]) ).

fof(f8351,plain,
    ( spl20_56
    | spl20_1
    | spl20_5
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f8279,f918,f471,f453,f408,f388,f648]) ).

fof(f8279,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f8278]) ).

fof(f8278,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = e3
    | e1 = op(e3,e1)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f5233,f473]) ).

fof(f5233,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f2024,f919]) ).

fof(f8303,plain,
    ( spl20_6
    | ~ spl20_117
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f8302,f957,f944,f413]) ).

fof(f8302,plain,
    ( e2 = e3
    | ~ spl20_117
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f958,f945]) ).

fof(f8257,plain,
    ( spl20_129
    | ~ spl20_111
    | ~ spl20_118
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f8208,f1061,f949,f918,f1128]) ).

fof(f8208,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_111
    | ~ spl20_118
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f919,f8118]) ).

fof(f8215,plain,
    ( spl20_2
    | spl20_4
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f8167,f1925,f1128,f1061,f949,f403,f393]) ).

fof(f8167,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f8166]) ).

fof(f8166,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8165,f950]) ).

fof(f8165,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f8164]) ).

fof(f8164,plain,
    ( e0 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8163,f1129]) ).

fof(f8163,plain,
    ( e2 = op(e1,e1)
    | e0 = e2
    | e1 = e2
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8162,f8118]) ).

fof(f8162,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8161,f1129]) ).

fof(f8161,plain,
    ( e2 = op(e1,e1)
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f8160,f8118]) ).

fof(f8160,plain,
    ( e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f5894,f8118]) ).

fof(f5894,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f178,f1927]) ).

fof(f8210,plain,
    ( ~ spl20_18
    | ~ spl20_19
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f8203,f1128,f1061,f949,f471,f467]) ).

fof(f8203,plain,
    ( ~ sP12
    | ~ spl20_19
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129 ),
    inference(trivial_inequality_removal,[],[f8202]) ).

fof(f8202,plain,
    ( e0 != e0
    | ~ sP12
    | ~ spl20_19
    | ~ spl20_118
    | ~ spl20_127
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f8201,f1129]) ).

fof(f8201,plain,
    ( e0 != op(e1,e1)
    | ~ sP12
    | ~ spl20_19
    | ~ spl20_118
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f7869,f8118]) ).

fof(f7869,plain,
    ( e0 != op(e3,e3)
    | ~ sP12
    | ~ spl20_19 ),
    inference(trivial_inequality_removal,[],[f7350]) ).

fof(f7350,plain,
    ( e3 != e3
    | e0 != op(e3,e3)
    | ~ sP12
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f236,f473]) ).

fof(f236,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e3,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f8150,plain,
    ( spl20_103
    | spl20_111
    | spl20_3
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f7973,f1925,f1061,f398,f918,f882]) ).

fof(f7973,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f5906]) ).

fof(f5906,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f5767,f1927]) ).

fof(f5767,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f174,f1063]) ).

fof(f8125,plain,
    ( spl20_136
    | spl20_6
    | spl20_3
    | ~ spl20_119
    | ~ spl20_129
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f7998,f6967,f1128,f953,f398,f413,f3550]) ).

fof(f7998,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_119
    | ~ spl20_129
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f7516,f1129]) ).

fof(f7516,plain,
    ( e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_119
    | ~ spl20_138 ),
    inference(duplicate_literal_removal,[],[f7016]) ).

fof(f7016,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_119
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f6431,f6969]) ).

fof(f6431,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f164,f954]) ).

fof(f8085,plain,
    ( spl20_96
    | spl20_5
    | ~ spl20_127
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f7988,f1925,f1864,f1061,f408,f851]) ).

fof(f7988,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_127
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7987]) ).

fof(f7987,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_127
    | ~ spl20_133
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f7986,f1866]) ).

fof(f7986,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f7985]) ).

fof(f7963,plain,
    ( spl20_105
    | spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_104 ),
    inference(avatar_split_clause,[],[f7902,f886,f882,f525,f413,f408,f398,f890]) ).

fof(f7902,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f7737,f887]) ).

fof(f7737,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f3375,f527]) ).

fof(f3375,plain,
    ( e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f163,f883]) ).

fof(f7952,plain,
    ( spl20_100
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f7883,f1057,f525,f489,f388,f398,f393,f869]) ).

fof(f7883,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f6629,f527]) ).

fof(f7868,plain,
    ( spl20_1
    | ~ spl20_31
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f3830,f896,f525,f388]) ).

fof(f3830,plain,
    ( e0 = e1
    | ~ spl20_31
    | ~ spl20_106 ),
    inference(superposition,[],[f897,f527]) ).

fof(f7845,plain,
    ( spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_96
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f7823,f1012,f851,f648,f453,f393,f403,f413]) ).

fof(f7823,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_96
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7822,f1014]) ).

fof(f7822,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_96 ),
    inference(duplicate_literal_removal,[],[f7821]) ).

fof(f7821,plain,
    ( e1 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f4021,f852]) ).

fof(f4021,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f1656,f455]) ).

fof(f7800,plain,
    ( spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_96
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f7704,f1012,f851,f462,f453,f393,f403,f413]) ).

fof(f7704,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_96
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7703,f1014]) ).

fof(f7703,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_96 ),
    inference(forward_demodulation,[],[f5230,f852]) ).

fof(f5230,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f3512]) ).

fof(f7728,plain,
    ( spl20_4
    | ~ spl20_96
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f7727,f877,f851,f403]) ).

fof(f7727,plain,
    ( e1 = e2
    | ~ spl20_96
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f878,f852]) ).

fof(f7694,plain,
    ( spl20_3
    | ~ spl20_17
    | ~ spl20_31
    | ~ spl20_106
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f7670,f1012,f896,f525,f462,f398]) ).

fof(f7670,plain,
    ( e0 = e3
    | ~ spl20_17
    | ~ spl20_31
    | ~ spl20_106
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7669,f1014]) ).

fof(f7669,plain,
    ( e3 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_31
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f464,f3830]) ).

fof(f7602,plain,
    ( spl20_102
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_19
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f7588,f1171,f914,f471,f393,f413,f403,f877]) ).

fof(f7588,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_19
    | ~ spl20_110
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f7440,f1173]) ).

fof(f7587,plain,
    ( spl20_6
    | spl20_2
    | spl20_4
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f7580,f1061,f927,f882,f851,f403,f393,f413]) ).

fof(f7580,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(duplicate_literal_removal,[],[f7579]) ).

fof(f7579,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_113
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f7538,f928]) ).

fof(f7538,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | e2 = op(e2,e3)
    | ~ spl20_96
    | ~ spl20_103
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f7537,f883]) ).

fof(f7537,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_96
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f5768,f852]) ).

fof(f5768,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f178,f1063]) ).

fof(f7578,plain,
    ( spl20_2
    | ~ spl20_131
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f7570,f6967,f1171,f393]) ).

fof(f7570,plain,
    ( e0 = e2
    | ~ spl20_131
    | ~ spl20_138 ),
    inference(superposition,[],[f1173,f6969]) ).

fof(f7514,plain,
    ( ~ spl20_122
    | spl20_54
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f6042,f914,f869,f637,f1008]) ).

fof(f6042,plain,
    ( e0 != op(e2,e0)
    | spl20_54
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f639,f2396]) ).

fof(f7493,plain,
    ( spl20_128
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_104 ),
    inference(avatar_split_clause,[],[f7455,f886,f882,f435,f413,f398,f408,f1124]) ).

fof(f7455,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f7454,f887]) ).

fof(f7454,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f6860,f883]) ).

fof(f6860,plain,
    ( e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f163,f437]) ).

fof(f7428,plain,
    ( ~ spl20_28
    | ~ spl20_105
    | ~ spl20_29 ),
    inference(avatar_split_clause,[],[f7423,f516,f890,f512]) ).

fof(f7423,plain,
    ( e3 != op(e1,e1)
    | ~ sP7
    | ~ spl20_29 ),
    inference(trivial_inequality_removal,[],[f7422]) ).

fof(f7422,plain,
    ( e1 != e1
    | e3 != op(e1,e1)
    | ~ sP7
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f259,f518]) ).

fof(f259,plain,
    ( e1 != op(e1,e3)
    | e3 != op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f7421,plain,
    ( spl20_105
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f6992,f896,f886,f516,f413,f398,f408,f890]) ).

fof(f6992,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_104
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f2375,f887]) ).

fof(f2375,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f2292,f897]) ).

fof(f2292,plain,
    ( e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f163,f518]) ).

fof(f7400,plain,
    ( spl20_109
    | spl20_2
    | spl20_4
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f7365,f918,f914,f648,f403,f393,f910]) ).

fof(f7365,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f7364]) ).

fof(f7364,plain,
    ( e1 = e2
    | e0 = e2
    | e1 = e2
    | e2 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f7172,f915]) ).

fof(f7172,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f1656,f919]) ).

fof(f7390,plain,
    ( spl20_3
    | spl20_5
    | spl20_6
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f7363,f1027,f927,f918,f516,f413,f408,f398]) ).

fof(f7363,plain,
    ( e2 = e3
    | e1 = e3
    | e0 = e3
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f7362,f1029]) ).

fof(f7362,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f7361]) ).

fof(f7361,plain,
    ( e1 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f7182,f928]) ).

fof(f7182,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f5969,f919]) ).

fof(f5969,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f180,f518]) ).

fof(f7389,plain,
    ( ~ spl20_18
    | ~ spl20_111
    | ~ spl20_19 ),
    inference(avatar_split_clause,[],[f7351,f471,f918,f467]) ).

fof(f7351,plain,
    ( e0 != op(e3,e3)
    | ~ sP12
    | ~ spl20_19 ),
    inference(trivial_inequality_removal,[],[f7350]) ).

fof(f7348,plain,
    ( spl20_136
    | spl20_6
    | spl20_3
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f7277,f1008,f856,f489,f398,f413,f3550]) ).

fof(f7277,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f7276]) ).

fof(f7276,plain,
    ( e0 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f6788,f1010]) ).

fof(f6788,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1615,f491]) ).

fof(f7329,plain,
    ( spl20_136
    | spl20_5
    | spl20_3
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f7254,f1128,f648,f561,f398,f408,f3550]) ).

fof(f7254,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f7253]) ).

fof(f7253,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f3286,f1129]) ).

fof(f3286,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f2868,f649]) ).

fof(f2868,plain,
    ( e0 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f164,f563]) ).

fof(f7229,plain,
    ( spl20_5
    | spl20_3
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f7153,f1012,f918,f914,f648,f398,f408]) ).

fof(f7153,plain,
    ( e0 = e3
    | e1 = e3
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(duplicate_literal_removal,[],[f7152]) ).

fof(f7152,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7151,f1014]) ).

fof(f7151,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f5959,f919]) ).

fof(f5959,plain,
    ( e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f2385]) ).

fof(f2385,plain,
    ( e1 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | ~ spl20_56
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f2242,f915]) ).

fof(f7114,plain,
    ( spl20_102
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_17
    | ~ spl20_110
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f7054,f1012,f914,f462,f393,f413,f403,f877]) ).

fof(f7054,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_110
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f7053,f1014]) ).

fof(f7053,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6632,f464]) ).

fof(f7100,plain,
    ( spl20_96
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f7026,f1061,f882,f480,f388,f408,f403,f851]) ).

fof(f7026,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f6319,f883]) ).

fof(f6319,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f4267,f1063]) ).

fof(f4267,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f176,f482]) ).

fof(f7049,plain,
    ( spl20_6
    | ~ spl20_17
    | ~ spl20_138 ),
    inference(avatar_split_clause,[],[f7040,f6967,f462,f413]) ).

fof(f7040,plain,
    ( e2 = e3
    | ~ spl20_17
    | ~ spl20_138 ),
    inference(forward_demodulation,[],[f464,f6969]) ).

fof(f6998,plain,
    ( spl20_13
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f6963,f1027,f856,f516,f413,f398,f408,f444]) ).

fof(f6963,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f6962,f1029]) ).

fof(f6962,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5969,f857]) ).

fof(f6977,plain,
    ( spl20_17
    | spl20_5
    | spl20_3
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f6897,f1128,f637,f561,f398,f408,f462]) ).

fof(f6897,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f6896]) ).

fof(f6896,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f6895,f563]) ).

fof(f6895,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e0,e1)
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f6538,f1129]) ).

fof(f6970,plain,
    ( spl20_138
    | spl20_4
    | spl20_2
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f6894,f1128,f637,f561,f393,f403,f6967]) ).

fof(f6894,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f6893]) ).

fof(f6893,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f6534,f1129]) ).

fof(f6534,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f2867,f638]) ).

fof(f2867,plain,
    ( e0 = e2
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f162,f563]) ).

fof(f6961,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f6906,f1027,f918,f856,f516,f413,f398,f408]) ).

fof(f6906,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f6905,f1029]) ).

fof(f6905,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f6904]) ).

fof(f6904,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f6494,f919]) ).

fof(f6494,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5969,f857]) ).

fof(f6960,plain,
    ( ~ spl20_28
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f330,f444,f512]) ).

fof(f330,plain,
    ( e3 != op(e3,e3)
    | ~ sP7 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f6864,plain,
    ( spl20_54
    | spl20_113
    | spl20_4
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(avatar_split_clause,[],[f6687,f507,f489,f403,f927,f637]) ).

fof(f6687,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f6686]) ).

fof(f6686,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f2449,f509]) ).

fof(f2449,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f167,f491]) ).

fof(f6856,plain,
    ( spl20_100
    | spl20_2
    | spl20_3
    | ~ spl20_23
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f6824,f1124,f1057,f489,f398,f393,f869]) ).

fof(f6824,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f6823]) ).

fof(f6823,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_126
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f6485,f1059]) ).

fof(f6854,plain,
    ( spl20_136
    | spl20_3
    | spl20_6
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f6785,f856,f507,f489,f413,f398,f3550]) ).

fof(f6785,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(duplicate_literal_removal,[],[f6784]) ).

fof(f6784,plain,
    ( e2 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5994,f509]) ).

fof(f5994,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1615,f491]) ).

fof(f6853,plain,
    ( ~ spl20_29
    | ~ spl20_11
    | spl20_80 ),
    inference(avatar_split_clause,[],[f774,f770,f435,f516]) ).

fof(f6840,plain,
    ( spl20_6
    | spl20_4
    | spl20_2
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f6828,f1124,f1004,f882,f435,f393,f403,f413]) ).

fof(f6828,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = e3
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121
    | ~ spl20_128 ),
    inference(duplicate_literal_removal,[],[f6827]) ).

fof(f6827,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = e3
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f6826,f1006]) ).

fof(f6826,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = e3
    | e2 = op(e1,e0)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_128 ),
    inference(forward_demodulation,[],[f6825,f437]) ).

fof(f6822,plain,
    ( spl20_128
    | spl20_5
    | spl20_3
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f6769,f1004,f882,f435,f398,f408,f1124]) ).

fof(f6769,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f6768]) ).

fof(f6768,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f6387,f883]) ).

fof(f6387,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | ~ spl20_11
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f6386,f1006]) ).

fof(f6755,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f6737,f1167,f927,f507,f489,f413,f398,f408]) ).

fof(f6737,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f6736]) ).

fof(f6736,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f6735,f509]) ).

fof(f6735,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_113
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f6734,f1169]) ).

fof(f6734,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4896,f491]) ).

fof(f6733,plain,
    ( spl20_113
    | spl20_1
    | spl20_4
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f6723,f1167,f507,f489,f403,f388,f927]) ).

fof(f6723,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f6722]) ).

fof(f6722,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_27
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4178,f491]) ).

fof(f4178,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4177,f509]) ).

fof(f6720,plain,
    ( spl20_130
    | spl20_97
    | spl20_2
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(avatar_split_clause,[],[f6685,f507,f489,f393,f856,f1167]) ).

fof(f6685,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f6684]) ).

fof(f6684,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f5160,f509]) ).

fof(f5160,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f165,f491]) ).

fof(f6678,plain,
    ( spl20_6
    | ~ spl20_27
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f1540,f923,f507,f413]) ).

fof(f1540,plain,
    ( e2 = e3
    | ~ spl20_27
    | ~ spl20_112 ),
    inference(superposition,[],[f924,f509]) ).

fof(f6615,plain,
    ( spl20_35
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f5619,f914,f869,f516,f543]) ).

fof(f5619,plain,
    ( e0 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f518,f2396]) ).

fof(f6568,plain,
    ( spl20_37
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f6566,f2159,f1124,f914,f869,f516,f552]) ).

fof(f6566,plain,
    ( e0 = op(e0,e2)
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_128
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f5619,f6547]) ).

fof(f6554,plain,
    ( spl20_100
    | spl20_2
    | spl20_3
    | ~ spl20_23
    | ~ spl20_126
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f6545,f2159,f1057,f489,f398,f393,f869]) ).

fof(f6545,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_126
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f2268,f1059]) ).

fof(f2268,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f2267]) ).

fof(f2267,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f1081,f2161]) ).

fof(f6543,plain,
    ( spl20_108
    | spl20_135
    | spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f2345,f1004,f516,f403,f393,f2159,f904]) ).

fof(f2345,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2086,f518]) ).

fof(f2086,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f161,f1006]) ).

fof(f6533,plain,
    ( spl20_108
    | spl20_2
    | spl20_4
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f6509,f1171,f637,f561,f403,f393,f904]) ).

fof(f6509,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f5832,f638]) ).

fof(f5832,plain,
    ( e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f5831]) ).

fof(f5831,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f2867,f1173]) ).

fof(f6476,plain,
    ( spl20_102
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f5644,f1061,f856,f516,f413,f403,f393,f877]) ).

fof(f5644,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f5643,f1063]) ).

fof(f5643,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1624,f518]) ).

fof(f1624,plain,
    ( e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f178,f857]) ).

fof(f6430,plain,
    ( spl20_111
    | spl20_3
    | spl20_2
    | spl20_1
    | ~ spl20_17
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f6419,f914,f910,f462,f388,f393,f398,f918]) ).

fof(f6419,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_109
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f1423,f915]) ).

fof(f1423,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1138,f911]) ).

fof(f6415,plain,
    ( spl20_136
    | spl20_17
    | spl20_5
    | spl20_6
    | ~ spl20_11
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f5750,f953,f435,f413,f408,f462,f3550]) ).

fof(f5750,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f2859,f954]) ).

fof(f6406,plain,
    ( spl20_128
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_23
    | ~ spl20_37
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f6390,f914,f552,f489,f398,f408,f413,f1124]) ).

fof(f6390,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_37
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6053,f554]) ).

fof(f6053,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | e3 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5897,f915]) ).

fof(f6391,plain,
    ( spl20_97
    | spl20_3
    | spl20_2
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f6278,f923,f498,f489,f393,f398,f856]) ).

fof(f6278,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_112 ),
    inference(duplicate_literal_removal,[],[f6277]) ).

fof(f6277,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f2603,f500]) ).

fof(f2603,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f2445,f924]) ).

fof(f2445,plain,
    ( e0 = e2
    | e0 = op(e2,e3)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f165,f491]) ).

fof(f6383,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_23
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f6379,f914,f896,f552,f489,f398,f408,f413]) ).

fof(f6379,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_23
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f6378]) ).

fof(f6378,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_23
    | ~ spl20_37
    | ~ spl20_106
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6268,f554]) ).

fof(f6268,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6053,f897]) ).

fof(f6367,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_11
    | ~ spl20_25
    | ~ spl20_119
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f6306,f1171,f953,f498,f435,f413,f398,f408]) ).

fof(f6306,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_11
    | ~ spl20_25
    | ~ spl20_119
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f6305]) ).

fof(f6305,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_11
    | ~ spl20_25
    | ~ spl20_119
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f6304,f500]) ).

fof(f6304,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_119
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f5750,f1173]) ).

fof(f6346,plain,
    ( spl20_6
    | ~ spl20_21
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3170,f1925,f480,f413]) ).

fof(f3170,plain,
    ( e2 = e3
    | ~ spl20_21
    | ~ spl20_134 ),
    inference(superposition,[],[f482,f1927]) ).

fof(f6250,plain,
    ( spl20_3
    | ~ spl20_106
    | ~ spl20_128 ),
    inference(avatar_split_clause,[],[f6134,f1124,f896,f398]) ).

fof(f6134,plain,
    ( e0 = e3
    | ~ spl20_106
    | ~ spl20_128 ),
    inference(superposition,[],[f897,f1125]) ).

fof(f6180,plain,
    ( spl20_4
    | spl20_1
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_122
    | ~ spl20_128
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f6175,f1167,f1124,f1008,f896,f489,f388,f403]) ).

fof(f6175,plain,
    ( e0 = e1
    | e1 = e2
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_122
    | ~ spl20_128
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f6174]) ).

fof(f6174,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_122
    | ~ spl20_128
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f6173,f1010]) ).

fof(f6173,plain,
    ( e1 = op(e2,e0)
    | e1 = e2
    | e0 = e1
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_128
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f6172]) ).

fof(f6172,plain,
    ( e1 = op(e2,e0)
    | e1 = e2
    | e0 = e1
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_106
    | ~ spl20_128
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4537,f6134]) ).

fof(f4537,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4177,f491]) ).

fof(f6141,plain,
    ( spl20_25
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f6065,f1171,f940,f435,f413,f393,f403,f498]) ).

fof(f6065,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | ~ spl20_11
    | ~ spl20_116
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f6064,f941]) ).

fof(f6064,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | ~ spl20_11
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f2861,f1173]) ).

fof(f6133,plain,
    ( spl20_106
    | spl20_100
    | spl20_2
    | ~ spl20_23
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f2457,f1023,f489,f393,f869,f896]) ).

fof(f2457,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_124 ),
    inference(duplicate_literal_removal,[],[f2456]) ).

fof(f2456,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2134,f491]) ).

fof(f2134,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f166,f1025]) ).

fof(f6126,plain,
    ( spl20_128
    | spl20_6
    | spl20_5
    | ~ spl20_23
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f6057,f1023,f914,f489,f408,f413,f1124]) ).

fof(f6057,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2463,f915]) ).

fof(f2463,plain,
    ( e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_124 ),
    inference(duplicate_literal_removal,[],[f2462]) ).

fof(f2462,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2157,f491]) ).

fof(f6125,plain,
    ( ~ spl20_9
    | ~ spl20_108
    | spl20_31 ),
    inference(avatar_split_clause,[],[f204,f525,f904,f426]) ).

fof(f204,plain,
    ( e1 = op(e1,e2)
    | e2 != op(e1,e1)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f6100,plain,
    ( spl20_4
    | ~ spl20_11
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f6075,f904,f435,f403]) ).

fof(f6075,plain,
    ( e1 = e2
    | ~ spl20_11
    | ~ spl20_108 ),
    inference(superposition,[],[f905,f437]) ).

fof(f6043,plain,
    ( spl20_2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f6018,f1008,f914,f869,f841,f648,f561,f393]) ).

fof(f6018,plain,
    ( e0 = e2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f6017]) ).

fof(f6017,plain,
    ( e0 = e2
    | e0 = e2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f6016,f2396]) ).

fof(f6016,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f6015,f842]) ).

fof(f6015,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f6014,f2396]) ).

fof(f6014,plain,
    ( e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f6013]) ).

fof(f6013,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f6012,f1010]) ).

fof(f6012,plain,
    ( e2 = op(e2,e0)
    | e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f6011,f2396]) ).

fof(f6011,plain,
    ( e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f6010]) ).

fof(f6010,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f4315,f2396]) ).

fof(f4315,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f2867,f649]) ).

fof(f5957,plain,
    ( spl20_4
    | ~ spl20_115
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f5915,f1023,f936,f403]) ).

fof(f5915,plain,
    ( e1 = e2
    | ~ spl20_115
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f1025,f937]) ).

fof(f5875,plain,
    ( spl20_5
    | ~ spl20_115
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f5869,f1057,f936,f408]) ).

fof(f5869,plain,
    ( e1 = e3
    | ~ spl20_115
    | ~ spl20_126 ),
    inference(superposition,[],[f1059,f937]) ).

fof(f5794,plain,
    ( spl20_113
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_23
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f5771,f3550,f1008,f489,f388,f408,f403,f927]) ).

fof(f5771,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_122
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5156,f1010]) ).

fof(f5156,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f2449,f3551]) ).

fof(f5787,plain,
    ( spl20_131
    | spl20_3
    | spl20_2
    | spl20_1
    | ~ spl20_11
    | ~ spl20_119
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f5770,f3550,f953,f435,f388,f393,f398,f1171]) ).

fof(f5770,plain,
    ( e0 = e1
    | e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_11
    | ~ spl20_119
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5373,f437]) ).

fof(f5373,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | ~ spl20_119
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f5152,f954]) ).

fof(f5759,plain,
    ( ~ spl20_29
    | ~ spl20_11
    | spl20_80 ),
    inference(avatar_split_clause,[],[f774,f770,f435,f516]) ).

fof(f5736,plain,
    ( ~ spl20_9
    | spl20_5
    | ~ spl20_102
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f5730,f914,f877,f408,f426]) ).

fof(f5730,plain,
    ( e1 = e3
    | ~ sP18
    | ~ spl20_102
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f4375,f915]) ).

fof(f4375,plain,
    ( e3 = op(e3,e2)
    | ~ sP18
    | ~ spl20_102 ),
    inference(trivial_inequality_removal,[],[f3152]) ).

fof(f3152,plain,
    ( e2 != e2
    | e3 = op(e3,e2)
    | ~ sP18
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f206,f878]) ).

fof(f5722,plain,
    ( spl20_102
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f5709,f1925,f1061,f516,f413,f403,f877]) ).

fof(f5709,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f5708]) ).

fof(f5708,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_127
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f5707,f1063]) ).

fof(f5707,plain,
    ( e1 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | ~ spl20_29
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3694,f518]) ).

fof(f3694,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f178,f1927]) ).

fof(f5706,plain,
    ( spl20_134
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5692,f1008,f637,f489,f408,f398,f413,f1925]) ).

fof(f5692,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5040,f638]) ).

fof(f5040,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | ~ spl20_23
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4840,f1010]) ).

fof(f4840,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f171,f491]) ).

fof(f5691,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5637,f1008,f856,f637,f489,f398,f408,f413]) ).

fof(f5637,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f5636]) ).

fof(f5636,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5635,f1010]) ).

fof(f5635,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f5634,f638]) ).

fof(f5634,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f4840,f857]) ).

fof(f5690,plain,
    ( ~ spl20_31
    | spl20_62
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f2284,f914,f678,f525]) ).

fof(f678,plain,
    ( spl20_62
  <=> op(e1,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).

fof(f2284,plain,
    ( e1 != op(e1,e2)
    | spl20_62
    | ~ spl20_110 ),
    inference(superposition,[],[f680,f915]) ).

fof(f680,plain,
    ( op(e1,e2) != op(e3,e2)
    | spl20_62 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f5633,plain,
    ( spl20_2
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f5617,f914,f869,f841,f552,f516,f393]) ).

fof(f5617,plain,
    ( e0 = e2
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f5616]) ).

fof(f5616,plain,
    ( e0 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5615,f2396]) ).

fof(f5615,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5614,f842]) ).

fof(f5614,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5613,f2396]) ).

fof(f5613,plain,
    ( e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f5612]) ).

fof(f5612,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5611,f2396]) ).

fof(f5611,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_94
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5610,f842]) ).

fof(f5610,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5609,f2396]) ).

fof(f5609,plain,
    ( e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f5608]) ).

fof(f5608,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5607,f554]) ).

fof(f5607,plain,
    ( e2 = op(e0,e2)
    | e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f5606,f2396]) ).

fof(f5606,plain,
    ( e0 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_100
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f2136,f2396]) ).

fof(f2136,plain,
    ( e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f161,f518]) ).

fof(f5632,plain,
    ( ~ spl20_14
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f5022,f489,f449]) ).

fof(f5022,plain,
    ( ~ sP14
    | ~ spl20_23 ),
    inference(trivial_inequality_removal,[],[f1340]) ).

fof(f5560,plain,
    ( spl20_23
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f5536,f923,f856,f637,f413,f403,f393,f489]) ).

fof(f5536,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f5462,f924]) ).

fof(f5462,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1387,f638]) ).

fof(f5521,plain,
    ( spl20_108
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f5506,f900,f882,f525,f413,f393,f403,f904]) ).

fof(f5506,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f4987,f901]) ).

fof(f4987,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f1596,f883]) ).

fof(f5503,plain,
    ( spl20_23
    | spl20_4
    | spl20_2
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5457,f1008,f856,f637,f393,f403,f489]) ).

fof(f5457,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e2)
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f5456]) ).

fof(f5456,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f5455,f1010]) ).

fof(f5455,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f4353,f638]) ).

fof(f5429,plain,
    ( spl20_5
    | ~ spl20_54
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f5374,f3550,f637,f408]) ).

fof(f5374,plain,
    ( e1 = e3
    | ~ spl20_54
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f3551,f638]) ).

fof(f5350,plain,
    ( spl20_97
    | spl20_2
    | spl20_3
    | spl20_1
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f5314,f923,f637,f489,f388,f398,f393,f856]) ).

fof(f5314,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_54
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f2603,f638]) ).

fof(f5340,plain,
    ( spl20_111
    | spl20_3
    | spl20_2
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f5326,f1687,f1061,f480,f393,f398,f918]) ).

fof(f5326,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f5325]) ).

fof(f5325,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2863,f482]) ).

fof(f2863,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | ~ spl20_127
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2722,f1063]) ).

fof(f5323,plain,
    ( spl20_132
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f5220,f1004,f890,f525,f393,f413,f403,f1687]) ).

fof(f5220,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f4730,f1006]) ).

fof(f5313,plain,
    ( spl20_97
    | spl20_2
    | spl20_3
    | ~ spl20_23
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(avatar_split_clause,[],[f5305,f3550,f923,f489,f398,f393,f856]) ).

fof(f5305,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(duplicate_literal_removal,[],[f5304]) ).

fof(f5304,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = e2
    | e0 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_112
    | ~ spl20_136 ),
    inference(forward_demodulation,[],[f2603,f3551]) ).

fof(f5299,plain,
    ( spl20_112
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f4446,f1004,f910,f841,f413,f398,f408,f923]) ).

fof(f4446,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f4263,f911]) ).

fof(f4263,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | ~ spl20_94
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1897,f1006]) ).

fof(f1897,plain,
    ( e1 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f156,f842]) ).

fof(f5297,plain,
    ( ~ spl20_11
    | ~ spl20_31
    | spl20_79 ),
    inference(avatar_split_clause,[],[f3536,f764,f525,f435]) ).

fof(f3536,plain,
    ( e1 != op(e1,e1)
    | ~ spl20_31
    | spl20_79 ),
    inference(superposition,[],[f766,f527]) ).

fof(f5269,plain,
    ( spl20_5
    | spl20_4
    | spl20_1
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_109
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f5251,f918,f910,f462,f453,f388,f403,f408]) ).

fof(f5251,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = e3
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_109
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f1371,f919]) ).

fof(f1371,plain,
    ( e1 = e2
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1370,f911]) ).

fof(f1370,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f1369]) ).

fof(f1369,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f1229,f455]) ).

fof(f5227,plain,
    ( spl20_131
    | spl20_3
    | spl20_2
    | ~ spl20_25
    | ~ spl20_105
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f5219,f953,f890,f498,f393,f398,f1171]) ).

fof(f5219,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e1)
    | ~ spl20_25
    | ~ spl20_105
    | ~ spl20_119 ),
    inference(duplicate_literal_removal,[],[f4830]) ).

fof(f4830,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e2
    | e0 = op(e3,e1)
    | ~ spl20_25
    | ~ spl20_105
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f4829,f954]) ).

fof(f4829,plain,
    ( e0 = e3
    | e0 = e2
    | e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | ~ spl20_25
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f1653,f891]) ).

fof(f5218,plain,
    ( spl20_105
    | spl20_5
    | spl20_6
    | ~ spl20_25
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f5175,f953,f648,f498,f413,f408,f890]) ).

fof(f5175,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | ~ spl20_25
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(duplicate_literal_removal,[],[f5174]) ).

fof(f5174,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | ~ spl20_25
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f4870,f954]) ).

fof(f4870,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_25
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f4277,f500]) ).

fof(f4277,plain,
    ( e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f164,f649]) ).

fof(f5138,plain,
    ( spl20_29
    | spl20_1
    | spl20_4
    | ~ spl20_21
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f5114,f1027,f918,f480,f403,f388,f516]) ).

fof(f5114,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f5113]) ).

fof(f5113,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e2
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_111
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f4693,f1029]) ).

fof(f4693,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f4267,f919]) ).

fof(f5129,plain,
    ( ~ spl20_100
    | spl20_93
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f1207,f918,f836,f869]) ).

fof(f836,plain,
    ( spl20_93
  <=> op(e3,e2) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).

fof(f1207,plain,
    ( e0 != op(e3,e2)
    | spl20_93
    | ~ spl20_111 ),
    inference(superposition,[],[f838,f919]) ).

fof(f838,plain,
    ( op(e3,e2) != op(e3,e3)
    | spl20_93 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f5101,plain,
    ( spl20_13
    | spl20_3
    | spl20_6
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f5063,f1027,f882,f480,f413,f398,f444]) ).

fof(f5063,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f5062]) ).

fof(f5062,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f5061,f1029]) ).

fof(f5083,plain,
    ( spl20_96
    | spl20_1
    | spl20_4
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f5047,f1027,f882,f480,f403,f388,f851]) ).

fof(f5047,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(duplicate_literal_removal,[],[f5046]) ).

fof(f5046,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_103
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f5045,f1029]) ).

fof(f5045,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f4668,f883]) ).

fof(f4668,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f176,f482]) ).

fof(f5082,plain,
    ( spl20_136
    | spl20_6
    | spl20_3
    | ~ spl20_21
    | ~ spl20_23
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f5043,f1008,f489,f480,f398,f413,f3550]) ).

fof(f5043,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | ~ spl20_21
    | ~ spl20_23
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4640,f1010]) ).

fof(f4640,plain,
    ( e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(duplicate_literal_removal,[],[f4639]) ).

fof(f5016,plain,
    ( spl20_23
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f4983,f1057,f869,f525,f413,f403,f393,f489]) ).

fof(f4983,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f4982,f1059]) ).

fof(f4982,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f4279,f527]) ).

fof(f4279,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f170,f870]) ).

fof(f5000,plain,
    ( spl20_99
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_25
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f4895,f1008,f927,f498,f398,f413,f408,f864]) ).

fof(f4895,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4894,f1010]) ).

fof(f4894,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4069,f500]) ).

fof(f4999,plain,
    ( ~ spl20_24
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f4905,f841,f561,f494]) ).

fof(f4905,plain,
    ( e0 != op(e0,e1)
    | ~ sP9
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f4904]) ).

fof(f4904,plain,
    ( e1 != e1
    | e0 != op(e0,e1)
    | ~ sP9
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f248,f842]) ).

fof(f248,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) != e1
    | ~ sP9 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f4978,plain,
    ( spl20_123
    | ~ spl20_100
    | ~ spl20_103
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f4930,f1687,f882,f869,f1012]) ).

fof(f4930,plain,
    ( e0 = op(e3,e0)
    | ~ spl20_100
    | ~ spl20_103
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f870,f2977]) ).

fof(f4885,plain,
    ( spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f4876,f1008,f927,f498,f489,f398,f413,f408]) ).

fof(f4876,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4875,f1010]) ).

fof(f4875,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(duplicate_literal_removal,[],[f4874]) ).

fof(f4874,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4873,f500]) ).

fof(f4873,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f4069,f491]) ).

fof(f4872,plain,
    ( spl20_113
    | spl20_4
    | spl20_1
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f4834,f1008,f498,f489,f388,f403,f927]) ).

fof(f4834,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_23
    | ~ spl20_25
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f4833,f1010]) ).

fof(f4833,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(duplicate_literal_removal,[],[f4832]) ).

fof(f4832,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_23
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f1692,f491]) ).

fof(f4864,plain,
    ( spl20_103
    | spl20_1
    | spl20_3
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f4742,f900,f890,f525,f398,f388,f882]) ).

fof(f4742,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(duplicate_literal_removal,[],[f4741]) ).

fof(f4741,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1446,f891]) ).

fof(f1446,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1445,f901]) ).

fof(f4855,plain,
    ( spl20_132
    | spl20_4
    | spl20_6
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f4740,f900,f890,f525,f413,f403,f1687]) ).

fof(f4740,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(duplicate_literal_removal,[],[f4739]) ).

fof(f4739,plain,
    ( e2 = e3
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_105
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1597,f891]) ).

fof(f1597,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1596,f901]) ).

fof(f4828,plain,
    ( spl20_3
    | ~ spl20_112
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f4785,f1008,f923,f398]) ).

fof(f4785,plain,
    ( e0 = e3
    | ~ spl20_112
    | ~ spl20_122 ),
    inference(superposition,[],[f924,f1010]) ).

fof(f4789,plain,
    ( spl20_41
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f4780,f1061,f543,f570]) ).

fof(f4780,plain,
    ( e0 = op(e0,e0)
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f545,f4582]) ).

fof(f4720,plain,
    ( spl20_29
    | spl20_4
    | spl20_1
    | spl20_5
    | ~ spl20_21
    | ~ spl20_111
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f4692,f1061,f918,f480,f408,f388,f403,f516]) ).

fof(f4692,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = e2
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_111
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f4691,f1063]) ).

fof(f4691,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f4668,f919]) ).

fof(f4701,plain,
    ( spl20_15
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_37 ),
    inference(avatar_split_clause,[],[f4461,f552,f525,f489,f413,f398,f408,f453]) ).

fof(f4461,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_37 ),
    inference(forward_demodulation,[],[f1421,f491]) ).

fof(f1421,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_37 ),
    inference(forward_demodulation,[],[f1420,f554]) ).

fof(f4695,plain,
    ( spl20_105
    | spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_56
    | ~ spl20_119
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f4396,f1167,f953,f648,f398,f408,f413,f890]) ).

fof(f4396,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e3 = op(e1,e1)
    | ~ spl20_56
    | ~ spl20_119
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4395,f1169]) ).

fof(f4395,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_56
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f3219,f649]) ).

fof(f3219,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f164,f954]) ).

fof(f4690,plain,
    ( spl20_96
    | spl20_4
    | spl20_5
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f4664,f1864,f1061,f480,f408,f403,f851]) ).

fof(f4664,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f4663]) ).

fof(f4663,plain,
    ( e1 = e3
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_21
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4662,f1063]) ).

fof(f4662,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | ~ spl20_21
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4267,f1866]) ).

fof(f4680,plain,
    ( spl20_112
    | spl20_6
    | spl20_3
    | ~ spl20_21
    | ~ spl20_23
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f4632,f1167,f489,f480,f398,f413,f923]) ).

fof(f4632,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4590,f1169]) ).

fof(f4590,plain,
    ( e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(duplicate_literal_removal,[],[f2447]) ).

fof(f2447,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f2446,f491]) ).

fof(f4661,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_37
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f4443,f869,f552,f525,f489,f413,f398,f408]) ).

fof(f4443,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_37
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f4442,f491]) ).

fof(f4442,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_37
    | ~ spl20_100 ),
    inference(duplicate_literal_removal,[],[f4441]) ).

fof(f4441,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_37
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f1421,f870]) ).

fof(f4660,plain,
    ( spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f4459,f1167,f953,f904,f648,f413,f398,f408]) ).

fof(f4459,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f4458]) ).

fof(f4458,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_56
    | ~ spl20_108
    | ~ spl20_119
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f4396,f905]) ).

fof(f4619,plain,
    ( ~ spl20_121
    | ~ spl20_35
    | ~ spl20_127
    | spl20_133 ),
    inference(avatar_split_clause,[],[f4617,f1864,f1061,f543,f1004]) ).

fof(f4617,plain,
    ( e0 != op(e1,e0)
    | ~ spl20_35
    | ~ spl20_127
    | spl20_133 ),
    inference(forward_demodulation,[],[f1865,f4582]) ).

fof(f1865,plain,
    ( e3 != op(e1,e3)
    | spl20_133 ),
    inference(avatar_component_clause,[],[f1864]) ).

fof(f4603,plain,
    ( spl20_27
    | ~ spl20_21
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f4602,f1061,f543,f480,f507]) ).

fof(f4602,plain,
    ( e2 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_35
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f482,f4582]) ).

fof(f4589,plain,
    ( spl20_21
    | spl20_102
    | spl20_6
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f4536,f1864,f1061,f413,f877,f480]) ).

fof(f4536,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(duplicate_literal_removal,[],[f4535]) ).

fof(f4535,plain,
    ( e2 = e3
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_127
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f4534,f1063]) ).

fof(f4523,plain,
    ( spl20_2
    | ~ spl20_102
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f4505,f918,f877,f393]) ).

fof(f4505,plain,
    ( e0 = e2
    | ~ spl20_102
    | ~ spl20_111 ),
    inference(superposition,[],[f919,f878]) ).

fof(f4454,plain,
    ( ~ spl20_9
    | spl20_3
    | ~ spl20_100
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f4413,f877,f869,f398,f426]) ).

fof(f4413,plain,
    ( e0 = e3
    | ~ sP18
    | ~ spl20_100
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f3153,f870]) ).

fof(f3153,plain,
    ( e3 = op(e3,e2)
    | ~ sP18
    | ~ spl20_102 ),
    inference(trivial_inequality_removal,[],[f3152]) ).

fof(f4436,plain,
    ( spl20_1
    | ~ spl20_97
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f4402,f927,f856,f388]) ).

fof(f4402,plain,
    ( e0 = e1
    | ~ spl20_97
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f928,f857]) ).

fof(f4368,plain,
    ( spl20_108
    | spl20_4
    | spl20_2
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f4313,f1167,f648,f561,f393,f403,f904]) ).

fof(f4313,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f4312]) ).

fof(f4312,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f3285,f1169]) ).

fof(f3285,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f2867,f649]) ).

fof(f4363,plain,
    ( spl20_105
    | spl20_5
    | spl20_3
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f4311,f1167,f648,f561,f398,f408,f890]) ).

fof(f4311,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f4310]) ).

fof(f4310,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f3286,f1169]) ).

fof(f4344,plain,
    ( spl20_2
    | ~ spl20_21
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f4319,f856,f480,f393]) ).

fof(f4319,plain,
    ( e0 = e2
    | ~ spl20_21
    | ~ spl20_97 ),
    inference(superposition,[],[f857,f482]) ).

fof(f4258,plain,
    ( ~ spl20_31
    | ~ spl20_29
    | spl20_81 ),
    inference(avatar_split_clause,[],[f1398,f776,f516,f525]) ).

fof(f776,plain,
    ( spl20_81
  <=> op(e1,e2) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).

fof(f1398,plain,
    ( e1 != op(e1,e2)
    | ~ spl20_29
    | spl20_81 ),
    inference(superposition,[],[f778,f518]) ).

fof(f778,plain,
    ( op(e1,e2) != op(e1,e3)
    | spl20_81 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f4205,plain,
    ( spl20_103
    | spl20_1
    | spl20_3
    | spl20_2
    | ~ spl20_31
    | ~ spl20_107
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f4168,f904,f900,f525,f393,f398,f388,f882]) ).

fof(f4168,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e1
    | e0 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_107
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f1446,f905]) ).

fof(f4156,plain,
    ( spl20_99
    | spl20_6
    | spl20_3
    | spl20_5
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f4090,f1023,f869,f525,f408,f398,f413,f864]) ).

fof(f4090,plain,
    ( e1 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2206,f527]) ).

fof(f2206,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2157,f870]) ).

fof(f4154,plain,
    ( ~ spl20_134
    | ~ spl20_13
    | spl20_69 ),
    inference(avatar_split_clause,[],[f2930,f713,f444,f1925]) ).

fof(f713,plain,
    ( spl20_69
  <=> op(e2,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).

fof(f2930,plain,
    ( e3 != op(e2,e3)
    | ~ spl20_13
    | spl20_69 ),
    inference(superposition,[],[f715,f446]) ).

fof(f715,plain,
    ( op(e2,e3) != op(e3,e3)
    | spl20_69 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f4122,plain,
    ( spl20_102
    | spl20_2
    | spl20_6
    | spl20_4
    | ~ spl20_35
    | ~ spl20_113
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f4072,f1864,f927,f543,f403,f413,f393,f877]) ).

fof(f4072,plain,
    ( e1 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_113
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f1923,f928]) ).

fof(f1923,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f1695,f1866]) ).

fof(f4051,plain,
    ( spl20_108
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f3784,f1167,f940,f648,f413,f393,f403,f904]) ).

fof(f3784,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_56
    | ~ spl20_116
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f3783,f941]) ).

fof(f3783,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_56
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f2450,f1169]) ).

fof(f4049,plain,
    ( ~ spl20_39
    | ~ spl20_35
    | spl20_74 ),
    inference(avatar_split_clause,[],[f998,f738,f543,f561]) ).

fof(f998,plain,
    ( e0 != op(e0,e1)
    | ~ spl20_35
    | spl20_74 ),
    inference(superposition,[],[f740,f545]) ).

fof(f4000,plain,
    ( ~ spl20_20
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f3934,f444,f476]) ).

fof(f3934,plain,
    ( ~ sP11
    | ~ spl20_13 ),
    inference(trivial_inequality_removal,[],[f3933]) ).

fof(f3933,plain,
    ( e3 != e3
    | ~ sP11
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f334,f446]) ).

fof(f3925,plain,
    ( spl20_113
    | spl20_4
    | spl20_1
    | ~ spl20_27
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f3914,f1167,f931,f507,f388,f403,f927]) ).

fof(f3914,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f3913]) ).

fof(f3913,plain,
    ( e0 = e1
    | e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | ~ spl20_27
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f3773,f1169]) ).

fof(f3773,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2858,f509]) ).

fof(f3906,plain,
    ( spl20_2
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f3863,f896,f841,f543,f525,f393]) ).

fof(f3863,plain,
    ( e0 = e2
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(duplicate_literal_removal,[],[f3862]) ).

fof(f3862,plain,
    ( e0 = e2
    | e0 = e2
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3861,f3830]) ).

fof(f3861,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3860,f842]) ).

fof(f3860,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3859,f3830]) ).

fof(f3859,plain,
    ( e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(duplicate_literal_removal,[],[f3858]) ).

fof(f3858,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3857,f3830]) ).

fof(f3857,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3856,f842]) ).

fof(f3856,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3855,f3830]) ).

fof(f3855,plain,
    ( e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_106 ),
    inference(duplicate_literal_removal,[],[f3854]) ).

fof(f3854,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_35
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3853,f545]) ).

fof(f3853,plain,
    ( e2 = op(e0,e3)
    | e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f3852,f3830]) ).

fof(f3852,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_106 ),
    inference(forward_demodulation,[],[f1596,f3830]) ).

fof(f3847,plain,
    ( spl20_27
    | spl20_21
    | spl20_2
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f3817,f1167,f931,f393,f480,f507]) ).

fof(f3817,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e0)
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f3816]) ).

fof(f3816,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e0)
    | ~ spl20_114
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f2648,f1169]) ).

fof(f2648,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f169,f932]) ).

fof(f3815,plain,
    ( spl20_19
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_27
    | ~ spl20_94
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f3748,f1004,f841,f507,f398,f413,f408,f471]) ).

fof(f3748,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | ~ spl20_27
    | ~ spl20_94
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f3747,f1006]) ).

fof(f3747,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f1897,f509]) ).

fof(f3810,plain,
    ( spl20_111
    | spl20_1
    | spl20_3
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_56 ),
    inference(avatar_split_clause,[],[f3787,f648,f471,f453,f398,f388,f918]) ).

fof(f3787,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_56 ),
    inference(duplicate_literal_removal,[],[f3786]) ).

fof(f3786,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_19
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f3785,f473]) ).

fof(f3785,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f2154,f455]) ).

fof(f2154,plain,
    ( e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f173,f649]) ).

fof(f3771,plain,
    ( ~ spl20_18
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3768,f931,f507,f467]) ).

fof(f3768,plain,
    ( ~ sP12
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(trivial_inequality_removal,[],[f3767]) ).

fof(f3767,plain,
    ( e0 != e0
    | ~ sP12
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f3766,f932]) ).

fof(f3766,plain,
    ( e0 != op(e2,e2)
    | ~ sP12
    | ~ spl20_27 ),
    inference(trivial_inequality_removal,[],[f3765]) ).

fof(f3765,plain,
    ( e2 != e2
    | e0 != op(e2,e2)
    | ~ sP12
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f235,f509]) ).

fof(f235,plain,
    ( e2 != op(e2,e0)
    | e0 != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f3764,plain,
    ( ~ spl20_26
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3763,f931,f507,f503]) ).

fof(f3763,plain,
    ( ~ sP8
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(trivial_inequality_removal,[],[f3762]) ).

fof(f3762,plain,
    ( e2 != e2
    | ~ sP8
    | ~ spl20_27
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f3461,f509]) ).

fof(f3461,plain,
    ( e2 != op(e2,e0)
    | ~ sP8
    | ~ spl20_114 ),
    inference(trivial_inequality_removal,[],[f3460]) ).

fof(f3460,plain,
    ( e0 != e0
    | e2 != op(e2,e0)
    | ~ sP8
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f255,f932]) ).

fof(f255,plain,
    ( e2 != op(e2,e0)
    | e0 != op(e2,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f3759,plain,
    ( spl20_108
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_54
    | ~ spl20_116
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f3701,f1171,f940,f637,f413,f393,f403,f904]) ).

fof(f3701,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_54
    | ~ spl20_116
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3700,f941]) ).

fof(f3700,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_54
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3408,f1173]) ).

fof(f3408,plain,
    ( e1 = e2
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f162,f638]) ).

fof(f3746,plain,
    ( spl20_3
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f1993,f1004,f900,f398]) ).

fof(f1993,plain,
    ( e0 = e3
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(superposition,[],[f1006,f901]) ).

fof(f3737,plain,
    ( spl20_102
    | spl20_6
    | spl20_2
    | ~ spl20_15
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f3725,f1171,f1012,f453,f393,f413,f877]) ).

fof(f3725,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f3724]) ).

fof(f3724,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3703,f1014]) ).

fof(f3703,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f3702,f1173]) ).

fof(f3702,plain,
    ( e2 = e3
    | e2 = op(e3,e3)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f177,f455]) ).

fof(f3723,plain,
    ( spl20_102
    | spl20_6
    | spl20_2
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3676,f1925,f882,f543,f393,f413,f877]) ).

fof(f3676,plain,
    ( e0 = e2
    | e2 = e3
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_134 ),
    inference(duplicate_literal_removal,[],[f3675]) ).

fof(f3675,plain,
    ( e0 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_35
    | ~ spl20_103
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3674,f883]) ).

fof(f3673,plain,
    ( spl20_1
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(avatar_split_clause,[],[f3654,f3579,f1171,f1012,f931,f453,f388]) ).

fof(f3654,plain,
    ( e0 = e1
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f3653]) ).

fof(f3653,plain,
    ( e0 = e1
    | e0 = e1
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f3652,f932]) ).

fof(f3652,plain,
    ( e1 = op(e2,e2)
    | e0 = e1
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f3651,f3583]) ).

fof(f3583,plain,
    ( e2 = e3
    | ~ spl20_15
    | ~ spl20_137 ),
    inference(superposition,[],[f3581,f455]) ).

fof(f3651,plain,
    ( e0 = e1
    | e1 = op(e3,e2)
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(duplicate_literal_removal,[],[f3650]) ).

fof(f3650,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e2)
    | ~ spl20_15
    | ~ spl20_114
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f3649,f932]) ).

fof(f3649,plain,
    ( e1 = op(e2,e2)
    | e0 = e1
    | e1 = op(e3,e2)
    | ~ spl20_15
    | ~ spl20_123
    | ~ spl20_131
    | ~ spl20_137 ),
    inference(forward_demodulation,[],[f1520,f3583]) ).

fof(f1520,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(duplicate_literal_removal,[],[f1519]) ).

fof(f1519,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_123
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f1518,f1014]) ).

fof(f3596,plain,
    ( spl20_96
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_103
    | ~ spl20_125
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3349,f1925,f1027,f882,f388,f408,f403,f851]) ).

fof(f3349,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | ~ spl20_103
    | ~ spl20_125
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3348,f883]) ).

fof(f3348,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_125
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3291,f1927]) ).

fof(f3291,plain,
    ( e1 = e2
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f176,f1029]) ).

fof(f3582,plain,
    ( spl20_137
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_31
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f2902,f1057,f931,f525,f413,f393,f403,f3579]) ).

fof(f2902,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f2872,f1059]) ).

fof(f2872,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1389,f932]) ).

fof(f1389,plain,
    ( e1 = e2
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e0,e2)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f170,f527]) ).

fof(f3558,plain,
    ( spl20_21
    | spl20_2
    | spl20_4
    | spl20_6
    | ~ spl20_54
    | ~ spl20_112
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f2650,f931,f923,f637,f413,f403,f393,f480]) ).

fof(f2650,plain,
    ( e2 = e3
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_112
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2649,f924]) ).

fof(f2649,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2648,f638]) ).

fof(f3555,plain,
    ( spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f3511,f1012,f462,f453,f388,f408,f851]) ).

fof(f3511,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f2570,f1014]) ).

fof(f2570,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f1369]) ).

fof(f3553,plain,
    ( ~ spl20_136
    | spl20_86
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f1933,f1925,f801,f3550]) ).

fof(f801,plain,
    ( spl20_86
  <=> op(e2,e1) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).

fof(f1933,plain,
    ( e3 != op(e2,e1)
    | spl20_86
    | ~ spl20_134 ),
    inference(superposition,[],[f803,f1927]) ).

fof(f803,plain,
    ( op(e2,e1) != op(e2,e3)
    | spl20_86 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f3541,plain,
    ( ~ spl20_14
    | ~ spl20_31
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f3497,f904,f525,f449]) ).

fof(f3497,plain,
    ( e1 != op(e1,e2)
    | ~ sP14
    | ~ spl20_108 ),
    inference(trivial_inequality_removal,[],[f3496]) ).

fof(f3496,plain,
    ( e2 != e2
    | e1 != op(e1,e2)
    | ~ sP14
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f224,f905]) ).

fof(f224,plain,
    ( e1 != op(e1,e2)
    | e2 != op(e1,e1)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f3490,plain,
    ( spl20_4
    | ~ spl20_33
    | ~ spl20_104 ),
    inference(avatar_split_clause,[],[f3471,f886,f534,f403]) ).

fof(f3471,plain,
    ( e1 = e2
    | ~ spl20_33
    | ~ spl20_104 ),
    inference(superposition,[],[f887,f536]) ).

fof(f3485,plain,
    ( spl20_17
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f3435,f904,f637,f561,f413,f398,f408,f462]) ).

fof(f3435,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | ~ spl20_39
    | ~ spl20_54
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f3411,f905]) ).

fof(f3411,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | ~ spl20_39
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f3410,f563]) ).

fof(f3410,plain,
    ( e1 = e3
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f164,f638]) ).

fof(f3459,plain,
    ( spl20_1
    | ~ spl20_29
    | ~ spl20_103 ),
    inference(avatar_split_clause,[],[f1374,f882,f516,f388]) ).

fof(f1374,plain,
    ( e0 = e1
    | ~ spl20_29
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f518,f883]) ).

fof(f3434,plain,
    ( spl20_6
    | ~ spl20_105
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f3433,f904,f890,f413]) ).

fof(f3433,plain,
    ( e2 = e3
    | ~ spl20_105
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f891,f905]) ).

fof(f3430,plain,
    ( spl20_105
    | spl20_3
    | spl20_5
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f3384,f1004,f882,f525,f408,f398,f890]) ).

fof(f3384,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f3383,f527]) ).

fof(f3383,plain,
    ( e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f3382]) ).

fof(f3382,plain,
    ( e0 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2070,f883]) ).

fof(f3421,plain,
    ( ~ spl20_30
    | ~ spl20_108
    | ~ spl20_31 ),
    inference(avatar_split_clause,[],[f3416,f525,f904,f521]) ).

fof(f3416,plain,
    ( e2 != op(e1,e1)
    | ~ sP6
    | ~ spl20_31 ),
    inference(trivial_inequality_removal,[],[f3415]) ).

fof(f3415,plain,
    ( e1 != e1
    | e2 != op(e1,e1)
    | ~ sP6
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f264,f527]) ).

fof(f264,plain,
    ( e1 != op(e1,e2)
    | e2 != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f3413,plain,
    ( spl20_108
    | spl20_2
    | spl20_4
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f3381,f1004,f882,f525,f403,f393,f904]) ).

fof(f3381,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f3380,f527]) ).

fof(f3380,plain,
    ( e0 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f3379]) ).

fof(f3379,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | ~ spl20_103
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2086,f883]) ).

fof(f3401,plain,
    ( spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f3324,f1057,f931,f869,f525,f393,f413,f403]) ).

fof(f3324,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(duplicate_literal_removal,[],[f3323]) ).

fof(f3323,plain,
    ( e0 = e2
    | e2 = e3
    | e0 = e2
    | e1 = e2
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_114
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f2902,f870]) ).

fof(f3372,plain,
    ( spl20_2
    | ~ spl20_21
    | ~ spl20_114
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3371,f1925,f931,f480,f393]) ).

fof(f3371,plain,
    ( e0 = e2
    | ~ spl20_21
    | ~ spl20_114
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f3370,f932]) ).

fof(f3370,plain,
    ( e2 = op(e2,e2)
    | ~ spl20_21
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f482,f3170]) ).

fof(f3341,plain,
    ( spl20_5
    | ~ spl20_113
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3325,f1925,f927,f408]) ).

fof(f3325,plain,
    ( e1 = e3
    | ~ spl20_113
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f1927,f928]) ).

fof(f3318,plain,
    ( spl20_4
    | ~ spl20_21
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f3317,f927,f480,f403]) ).

fof(f3317,plain,
    ( e1 = e2
    | ~ spl20_21
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f482,f928]) ).

fof(f3311,plain,
    ( spl20_25
    | spl20_21
    | spl20_2
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f3071,f1008,f931,f393,f480,f498]) ).

fof(f3071,plain,
    ( e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f3070]) ).

fof(f3070,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f2648,f1010]) ).

fof(f3303,plain,
    ( spl20_54
    | spl20_113
    | spl20_1
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f2895,f1008,f931,f388,f927,f637]) ).

fof(f2895,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f2894]) ).

fof(f2894,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f2858,f1010]) ).

fof(f3284,plain,
    ( spl20_25
    | spl20_2
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f3257,f1008,f931,f856,f393,f498]) ).

fof(f3257,plain,
    ( e0 = e2
    | e2 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f3256]) ).

fof(f3256,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f3022,f1010]) ).

fof(f3022,plain,
    ( e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(duplicate_literal_removal,[],[f2922]) ).

fof(f2922,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e2,e1)
    | e2 = op(e2,e0)
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1387,f932]) ).

fof(f3283,plain,
    ( ~ spl20_42
    | spl20_11 ),
    inference(avatar_split_clause,[],[f267,f435,f575]) ).

fof(f575,plain,
    ( spl20_42
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).

fof(f267,plain,
    ( e1 = op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e1 = op(e1,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e1 = op(e1,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f3281,plain,
    ( spl20_3
    | ~ spl20_97
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3266,f1925,f856,f398]) ).

fof(f3266,plain,
    ( e0 = e3
    | ~ spl20_97
    | ~ spl20_134 ),
    inference(superposition,[],[f857,f1927]) ).

fof(f3237,plain,
    ( ~ spl20_126
    | ~ spl20_94
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f3223,f953,f841,f1057]) ).

fof(f3223,plain,
    ( e3 != op(e0,e2)
    | ~ spl20_94
    | ~ spl20_119 ),
    inference(trivial_inequality_removal,[],[f3222]) ).

fof(f3222,plain,
    ( e2 != e2
    | e3 != op(e0,e2)
    | ~ spl20_94
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f2870,f954]) ).

fof(f2870,plain,
    ( e3 != op(e0,e2)
    | e2 != op(e0,e1)
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f2869]) ).

fof(f2869,plain,
    ( e1 != e1
    | e3 != op(e0,e2)
    | e2 != op(e0,e1)
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f380,f842]) ).

fof(f380,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,e2)
    | e2 != op(e0,e1) ),
    inference(inner_rewriting,[],[f379]) ).

fof(f379,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,op(e0,e1))
    | e2 != op(e0,e1) ),
    inference(inner_rewriting,[],[f319]) ).

fof(f319,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( op(e0,e0) = e1
      & e3 = op(e0,op(e0,op(e0,e0)))
      & e2 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f3217,plain,
    ( spl20_4
    | ~ spl20_50
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f3213,f953,f616,f403]) ).

fof(f3213,plain,
    ( e1 = e2
    | ~ spl20_50
    | ~ spl20_119 ),
    inference(superposition,[],[f617,f954]) ).

fof(f3182,plain,
    ( spl20_2
    | ~ spl20_23
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f2531,f931,f489,f393]) ).

fof(f2531,plain,
    ( e0 = e2
    | ~ spl20_23
    | ~ spl20_114 ),
    inference(superposition,[],[f932,f491]) ).

fof(f3168,plain,
    ( ~ spl20_42
    | spl20_4
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f3156,f904,f403,f575]) ).

fof(f3156,plain,
    ( e1 = e2
    | ~ sP5
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f267,f905]) ).

fof(f3128,plain,
    ( spl20_2
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3113,f931,f877,f444,f393]) ).

fof(f3113,plain,
    ( e0 = e2
    | ~ spl20_13
    | ~ spl20_102
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f3112,f932]) ).

fof(f3112,plain,
    ( e2 = op(e2,e2)
    | ~ spl20_13
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f878,f2187]) ).

fof(f3107,plain,
    ( spl20_21
    | spl20_4
    | spl20_2
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f3077,f1008,f931,f637,f393,f403,f480]) ).

fof(f3077,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f3076]) ).

fof(f3076,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f2904,f1010]) ).

fof(f2904,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2648,f638]) ).

fof(f3067,plain,
    ( spl20_1
    | ~ spl20_39
    | ~ spl20_50 ),
    inference(avatar_split_clause,[],[f3019,f616,f561,f388]) ).

fof(f3019,plain,
    ( e0 = e1
    | ~ spl20_39
    | ~ spl20_50 ),
    inference(forward_demodulation,[],[f617,f563]) ).

fof(f3020,plain,
    ( spl20_1
    | ~ spl20_39
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f3000,f1687,f1027,f1008,f931,f882,f561,f388]) ).

fof(f3000,plain,
    ( e0 = e1
    | ~ spl20_39
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f2999]) ).

fof(f2999,plain,
    ( e0 = e1
    | e0 = e1
    | ~ spl20_39
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2998,f563]) ).

fof(f2998,plain,
    ( e1 = op(e0,e1)
    | e0 = e1
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2997,f2977]) ).

fof(f2997,plain,
    ( e0 = e1
    | e1 = op(e2,e1)
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f2996]) ).

fof(f2996,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e1)
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2995,f2977]) ).

fof(f2995,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e2,e1)
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_125
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2994,f1029]) ).

fof(f2994,plain,
    ( e1 = op(e0,e3)
    | e0 = e1
    | e1 = op(e2,e1)
    | ~ spl20_103
    | ~ spl20_114
    | ~ spl20_122
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2895,f2977]) ).

fof(f2993,plain,
    ( spl20_3
    | ~ spl20_103
    | ~ spl20_125
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f2992,f1925,f1687,f1027,f882,f398]) ).

fof(f2992,plain,
    ( e0 = e3
    | ~ spl20_103
    | ~ spl20_125
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f2991,f2977]) ).

fof(f2991,plain,
    ( e2 = e3
    | ~ spl20_103
    | ~ spl20_125
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f2990,f1029]) ).

fof(f2990,plain,
    ( e3 = op(e0,e3)
    | ~ spl20_103
    | ~ spl20_132
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f1927,f2977]) ).

fof(f2984,plain,
    ( spl20_134
    | spl20_5
    | spl20_3
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f2901,f1008,f931,f637,f398,f408,f1925]) ).

fof(f2901,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f2900]) ).

fof(f2900,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e3)
    | ~ spl20_54
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f2724,f1010]) ).

fof(f2973,plain,
    ( spl20_5
    | spl20_3
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f2914,f1008,f931,f856,f637,f398,f408]) ).

fof(f2914,plain,
    ( e0 = e3
    | e1 = e3
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f2913]) ).

fof(f2913,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f2912,f1010]) ).

fof(f2912,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(duplicate_literal_removal,[],[f2911]) ).

fof(f2911,plain,
    ( e0 = e3
    | e1 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_97
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1622,f932]) ).

fof(f2893,plain,
    ( spl20_2
    | ~ spl20_39
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f2877,f953,f561,f393]) ).

fof(f2877,plain,
    ( e0 = e2
    | ~ spl20_39
    | ~ spl20_119 ),
    inference(forward_demodulation,[],[f954,f563]) ).

fof(f2865,plain,
    ( ~ spl20_31
    | ~ spl20_11
    | spl20_79 ),
    inference(avatar_split_clause,[],[f768,f764,f435,f525]) ).

fof(f2864,plain,
    ( ~ spl20_54
    | ~ spl20_11
    | spl20_53 ),
    inference(avatar_split_clause,[],[f635,f631,f435,f637]) ).

fof(f631,plain,
    ( spl20_53
  <=> op(e1,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).

fof(f635,plain,
    ( e1 != op(e2,e1)
    | ~ spl20_11
    | spl20_53 ),
    inference(forward_demodulation,[],[f633,f437]) ).

fof(f633,plain,
    ( op(e1,e1) != op(e2,e1)
    | spl20_53 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f2856,plain,
    ( spl20_2
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1464,f1012,f910,f393]) ).

fof(f1464,plain,
    ( e0 = e2
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(superposition,[],[f1014,f911]) ).

fof(f2799,plain,
    ( spl20_6
    | ~ spl20_124
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f2735,f1057,f1023,f413]) ).

fof(f2735,plain,
    ( e2 = e3
    | ~ spl20_124
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f1059,f1025]) ).

fof(f2710,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(avatar_split_clause,[],[f2704,f1687,f1128,f1004,f525,f398,f408,f413]) ).

fof(f2704,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(duplicate_literal_removal,[],[f2703]) ).

fof(f2703,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_129
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2702,f1129]) ).

fof(f2702,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e1)
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2701,f527]) ).

fof(f2701,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | ~ spl20_121
    | ~ spl20_132 ),
    inference(forward_demodulation,[],[f2070,f1688]) ).

fof(f2699,plain,
    ( spl20_113
    | spl20_96
    | spl20_1
    | spl20_5
    | ~ spl20_35
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f2628,f1864,f543,f408,f388,f851,f927]) ).

fof(f2628,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | ~ spl20_35
    | ~ spl20_133 ),
    inference(forward_demodulation,[],[f1699,f1866]) ).

fof(f1699,plain,
    ( e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f176,f545]) ).

fof(f2689,plain,
    ( spl20_132
    | spl20_2
    | spl20_4
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f2500,f1128,f1004,f525,f403,f393,f1687]) ).

fof(f2500,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2313,f527]) ).

fof(f2313,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f2087]) ).

fof(f2087,plain,
    ( e0 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1953,f1006]) ).

fof(f1953,plain,
    ( e0 = e2
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f161,f1129]) ).

fof(f2687,plain,
    ( ~ spl20_34
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f326,f444,f539]) ).

fof(f326,plain,
    ( e3 != op(e3,e3)
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f281,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f2643,plain,
    ( spl20_3
    | ~ spl20_15
    | ~ spl20_23
    | ~ spl20_109
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f2642,f931,f910,f489,f453,f398]) ).

fof(f2642,plain,
    ( e0 = e3
    | ~ spl20_15
    | ~ spl20_23
    | ~ spl20_109
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2641,f2531]) ).

fof(f2641,plain,
    ( e2 = e3
    | ~ spl20_15
    | ~ spl20_23
    | ~ spl20_109
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2640,f911]) ).

fof(f2640,plain,
    ( e3 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_23
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f455,f2531]) ).

fof(f2624,plain,
    ( spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f2606,f1023,f869,f525,f489,f408,f413,f398]) ).

fof(f2606,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_31
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2379,f527]) ).

fof(f2379,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(duplicate_literal_removal,[],[f2378]) ).

fof(f2378,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2206,f491]) ).

fof(f2593,plain,
    ( spl20_29
    | spl20_1
    | ~ spl20_23
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f2558,f931,f918,f543,f489,f388,f516]) ).

fof(f2558,plain,
    ( e0 = e1
    | e1 = op(e1,e3)
    | ~ spl20_23
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_114 ),
    inference(duplicate_literal_removal,[],[f2557]) ).

fof(f2557,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e1,e3)
    | ~ spl20_23
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2556,f545]) ).

fof(f2556,plain,
    ( e1 = op(e0,e3)
    | e0 = e1
    | e1 = op(e1,e3)
    | ~ spl20_23
    | ~ spl20_35
    | ~ spl20_111
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f2555,f2531]) ).

fof(f2555,plain,
    ( e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(duplicate_literal_removal,[],[f2554]) ).

fof(f2554,plain,
    ( e0 = e1
    | e0 = e1
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f1699,f919]) ).

fof(f2591,plain,
    ( spl20_5
    | ~ spl20_17
    | ~ spl20_56 ),
    inference(avatar_split_clause,[],[f2590,f648,f462,f408]) ).

fof(f2590,plain,
    ( e1 = e3
    | ~ spl20_17
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f464,f649]) ).

fof(f2569,plain,
    ( ~ spl20_42
    | spl20_1
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f2566,f1128,f388,f575]) ).

fof(f2566,plain,
    ( e0 = e1
    | ~ sP5
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f267,f1129]) ).

fof(f2552,plain,
    ( spl20_1
    | ~ spl20_96
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f2551,f918,f851,f388]) ).

fof(f2551,plain,
    ( e0 = e1
    | ~ spl20_96
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f852,f919]) ).

fof(f2550,plain,
    ( spl20_29
    | spl20_96
    | spl20_1
    | spl20_4
    | ~ spl20_21
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f2455,f543,f480,f403,f388,f851,f516]) ).

fof(f2455,plain,
    ( e1 = e2
    | e0 = e1
    | e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | ~ spl20_21
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f1699,f482]) ).

fof(f2496,plain,
    ( spl20_6
    | ~ spl20_19
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f2309,f910,f471,f413]) ).

fof(f2309,plain,
    ( e2 = e3
    | ~ spl20_19
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f473,f911]) ).

fof(f2443,plain,
    ( spl20_3
    | spl20_6
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f2413,f1023,f914,f869,f489,f413,f398]) ).

fof(f2413,plain,
    ( e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(duplicate_literal_removal,[],[f2412]) ).

fof(f2412,plain,
    ( e2 = e3
    | e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2411,f1025]) ).

fof(f2411,plain,
    ( e3 = op(e0,e2)
    | e2 = e3
    | e0 = e3
    | ~ spl20_23
    | ~ spl20_100
    | ~ spl20_110
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2379,f2396]) ).

fof(f2410,plain,
    ( spl20_5
    | spl20_3
    | ~ spl20_29
    | ~ spl20_106
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f2359,f1128,f1004,f896,f516,f398,f408]) ).

fof(f2359,plain,
    ( e0 = e3
    | e1 = e3
    | ~ spl20_29
    | ~ spl20_106
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f2358]) ).

fof(f2358,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | ~ spl20_29
    | ~ spl20_106
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2312,f897]) ).

fof(f2312,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f2097]) ).

fof(f2097,plain,
    ( e0 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_121
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f2096,f1006]) ).

fof(f2096,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1505,f1129]) ).

fof(f2355,plain,
    ( spl20_5
    | ~ spl20_50
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f2278,f940,f616,f408]) ).

fof(f2278,plain,
    ( e1 = e3
    | ~ spl20_50
    | ~ spl20_116 ),
    inference(superposition,[],[f617,f941]) ).

fof(f2354,plain,
    ( spl20_106
    | spl20_2
    | ~ spl20_23
    | ~ spl20_50
    | ~ spl20_116
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f2299,f1023,f940,f616,f489,f393,f896]) ).

fof(f2299,plain,
    ( e0 = e2
    | e0 = op(e1,e2)
    | ~ spl20_23
    | ~ spl20_50
    | ~ spl20_116
    | ~ spl20_124 ),
    inference(duplicate_literal_removal,[],[f2298]) ).

fof(f2298,plain,
    ( e0 = e2
    | e0 = op(e1,e2)
    | e0 = e2
    | ~ spl20_23
    | ~ spl20_50
    | ~ spl20_116
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f2297,f1025]) ).

fof(f2297,plain,
    ( e0 = op(e1,e2)
    | e0 = e2
    | e0 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_50
    | ~ spl20_116 ),
    inference(duplicate_literal_removal,[],[f2296]) ).

fof(f2296,plain,
    ( e0 = op(e1,e2)
    | e0 = e2
    | e0 = op(e1,e2)
    | e0 = op(e0,e2)
    | ~ spl20_23
    | ~ spl20_50
    | ~ spl20_116 ),
    inference(forward_demodulation,[],[f1081,f2278]) ).

fof(f2311,plain,
    ( spl20_4
    | ~ spl20_19
    | ~ spl20_50
    | ~ spl20_109
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f2310,f940,f910,f616,f471,f403]) ).

fof(f2310,plain,
    ( e1 = e2
    | ~ spl20_19
    | ~ spl20_50
    | ~ spl20_109
    | ~ spl20_116 ),
    inference(forward_demodulation,[],[f2309,f2278]) ).

fof(f2289,plain,
    ( spl20_100
    | spl20_2
    | ~ spl20_23
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f2270,f2159,f1023,f489,f393,f869]) ).

fof(f2270,plain,
    ( e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f2269]) ).

fof(f2269,plain,
    ( e0 = e2
    | e0 = e2
    | e0 = op(e3,e2)
    | ~ spl20_23
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f2268,f1025]) ).

fof(f2260,plain,
    ( ~ spl20_10
    | spl20_13 ),
    inference(avatar_split_clause,[],[f197,f444,f430]) ).

fof(f197,plain,
    ( e3 = op(e3,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f2238,plain,
    ( spl20_113
    | spl20_4
    | spl20_5
    | spl20_1
    | ~ spl20_25
    | ~ spl20_99
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f2221,f1008,f864,f498,f388,f408,f403,f927]) ).

fof(f2221,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_99
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1838,f1010]) ).

fof(f1838,plain,
    ( e1 = e3
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f1692,f865]) ).

fof(f2218,plain,
    ( spl20_99
    | spl20_3
    | spl20_6
    | ~ spl20_100
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(avatar_split_clause,[],[f2208,f2159,f1023,f869,f413,f398,f864]) ).

fof(f2208,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_100
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(duplicate_literal_removal,[],[f2207]) ).

fof(f2207,plain,
    ( e2 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | ~ spl20_100
    | ~ spl20_124
    | ~ spl20_135 ),
    inference(forward_demodulation,[],[f2206,f2161]) ).

fof(f2203,plain,
    ( spl20_114
    | ~ spl20_13
    | ~ spl20_100
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f2202,f877,f869,f444,f931]) ).

fof(f2202,plain,
    ( e0 = op(e2,e2)
    | ~ spl20_13
    | ~ spl20_100
    | ~ spl20_102 ),
    inference(forward_demodulation,[],[f870,f2187]) ).

fof(f2200,plain,
    ( spl20_100
    | spl20_111
    | spl20_1
    | spl20_2
    | ~ spl20_56
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f2152,f910,f648,f393,f388,f918,f869]) ).

fof(f2152,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_56
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1898,f911]) ).

fof(f2186,plain,
    ( spl20_102
    | spl20_2
    | spl20_6
    | spl20_4
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f2007,f1925,f543,f516,f403,f413,f393,f877]) ).

fof(f2007,plain,
    ( e1 = e2
    | e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f2006,f518]) ).

fof(f2006,plain,
    ( e2 = e3
    | e0 = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f1695,f1927]) ).

fof(f2168,plain,
    ( spl20_5
    | ~ spl20_33
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f1957,f900,f534,f408]) ).

fof(f1957,plain,
    ( e1 = e3
    | ~ spl20_33
    | ~ spl20_107 ),
    inference(superposition,[],[f536,f901]) ).

fof(f2162,plain,
    ( spl20_135
    | spl20_4
    | spl20_2
    | spl20_6
    | ~ spl20_29
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1980,f1128,f900,f516,f413,f393,f403,f2159]) ).

fof(f1980,plain,
    ( e2 = e3
    | e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | ~ spl20_29
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1979,f901]) ).

fof(f1979,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1379,f1129]) ).

fof(f2151,plain,
    ( spl20_111
    | spl20_1
    | spl20_3
    | spl20_2
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f1965,f910,f648,f453,f393,f398,f388,f918]) ).

fof(f1965,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_56
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1964,f911]) ).

fof(f1964,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f1898,f455]) ).

fof(f2128,plain,
    ( spl20_6
    | spl20_5
    | spl20_3
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f2069,f1004,f910,f860,f841,f398,f408,f413]) ).

fof(f2069,plain,
    ( e0 = e3
    | e1 = e3
    | e2 = e3
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2068,f1006]) ).

fof(f2068,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e1,e0)
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_109 ),
    inference(duplicate_literal_removal,[],[f2067]) ).

fof(f2067,plain,
    ( e1 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e1,e0)
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f2066,f861]) ).

fof(f2066,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_94
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1897,f911]) ).

fof(f2127,plain,
    ( ~ spl20_24
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f332,f435,f494]) ).

fof(f332,plain,
    ( e1 != op(e1,e1)
    | ~ sP9 ),
    inference(duplicate_literal_removal,[],[f249]) ).

fof(f249,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f2084,plain,
    ( ~ spl20_24
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f2078,f435,f494]) ).

fof(f2078,plain,
    ( ~ sP9
    | ~ spl20_11 ),
    inference(trivial_inequality_removal,[],[f2077]) ).

fof(f2077,plain,
    ( e1 != e1
    | ~ sP9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f332,f437]) ).

fof(f2065,plain,
    ( spl20_1
    | ~ spl20_11
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f2037,f1128,f435,f388]) ).

fof(f2037,plain,
    ( e0 = e1
    | ~ spl20_11
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f437,f1129]) ).

fof(f2038,plain,
    ( spl20_4
    | ~ spl20_94
    | ~ spl20_107
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f2031,f1004,f910,f900,f841,f403]) ).

fof(f2031,plain,
    ( e1 = e2
    | ~ spl20_94
    | ~ spl20_107
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2030,f842]) ).

fof(f2030,plain,
    ( op(e0,e0) = e2
    | ~ spl20_107
    | ~ spl20_109
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f911,f1993]) ).

fof(f2018,plain,
    ( spl20_3
    | ~ spl20_19
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f2017,f1012,f471,f398]) ).

fof(f2017,plain,
    ( e0 = e3
    | ~ spl20_19
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f473,f1014]) ).

fof(f2004,plain,
    ( spl20_2
    | spl20_4
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f2003,f1004,f900,f860,f841,f543,f516,f403,f393]) ).

fof(f2003,plain,
    ( e1 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f2002]) ).

fof(f2002,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | ~ spl20_29
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f2001,f518]) ).

fof(f2001,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(duplicate_literal_removal,[],[f2000]) ).

fof(f2000,plain,
    ( e1 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_98
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1999,f861]) ).

fof(f1999,plain,
    ( e2 = op(e2,e0)
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1998,f1993]) ).

fof(f1998,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_94
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1997,f842]) ).

fof(f1997,plain,
    ( op(e0,e0) = e2
    | e0 = e2
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | ~ spl20_35
    | ~ spl20_107
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1695,f1993]) ).

fof(f1996,plain,
    ( spl20_5
    | ~ spl20_29
    | ~ spl20_133 ),
    inference(avatar_split_clause,[],[f1981,f1864,f516,f408]) ).

fof(f1981,plain,
    ( e1 = e3
    | ~ spl20_29
    | ~ spl20_133 ),
    inference(superposition,[],[f518,f1866]) ).

fof(f1963,plain,
    ( spl20_1
    | ~ spl20_98
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f1962,f1008,f860,f388]) ).

fof(f1962,plain,
    ( e0 = e1
    | ~ spl20_98
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f861,f1010]) ).

fof(f1960,plain,
    ( spl20_98
    | spl20_113
    | spl20_4
    | spl20_1
    | ~ spl20_25
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f1885,f931,f498,f388,f403,f927,f860]) ).

fof(f1885,plain,
    ( e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1692,f932]) ).

fof(f1952,plain,
    ( spl20_132
    | spl20_4
    | spl20_6
    | spl20_2
    | ~ spl20_31
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1906,f1128,f900,f525,f393,f413,f403,f1687]) ).

fof(f1906,plain,
    ( e0 = e2
    | e2 = e3
    | e1 = e2
    | e2 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1597,f1129]) ).

fof(f1942,plain,
    ( spl20_15
    | spl20_5
    | spl20_6
    | spl20_3
    | ~ spl20_31
    | ~ spl20_114
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f1887,f1023,f931,f525,f398,f413,f408,f453]) ).

fof(f1887,plain,
    ( e0 = e3
    | e2 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | ~ spl20_31
    | ~ spl20_114
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f1632,f932]) ).

fof(f1632,plain,
    ( e2 = e3
    | e1 = e3
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f1420,f1025]) ).

fof(f1940,plain,
    ( ~ spl20_127
    | ~ spl20_13
    | spl20_66 ),
    inference(avatar_split_clause,[],[f970,f698,f444,f1061]) ).

fof(f698,plain,
    ( spl20_66
  <=> op(e0,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).

fof(f970,plain,
    ( e3 != op(e0,e3)
    | ~ spl20_13
    | spl20_66 ),
    inference(superposition,[],[f700,f446]) ).

fof(f700,plain,
    ( op(e0,e3) != op(e3,e3)
    | spl20_66 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f1928,plain,
    ( spl20_134
    | spl20_6
    | spl20_3
    | ~ spl20_25
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f1921,f1008,f931,f498,f398,f413,f1925]) ).

fof(f1921,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(duplicate_literal_removal,[],[f1920]) ).

fof(f1920,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_114
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1919,f1010]) ).

fof(f1919,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1696,f932]) ).

fof(f1696,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f171,f500]) ).

fof(f1918,plain,
    ( spl20_112
    | spl20_6
    | spl20_3
    | ~ spl20_21
    | ~ spl20_25
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f1896,f931,f498,f480,f398,f413,f923]) ).

fof(f1896,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_25
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1895,f932]) ).

fof(f1895,plain,
    ( e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_25 ),
    inference(duplicate_literal_removal,[],[f1894]) ).

fof(f1894,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_21
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f1696,f482]) ).

fof(f1889,plain,
    ( spl20_113
    | spl20_4
    | spl20_1
    | spl20_5
    | ~ spl20_25
    | ~ spl20_112
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f1886,f931,f923,f498,f408,f388,f403,f927]) ).

fof(f1886,plain,
    ( e1 = e3
    | e0 = e1
    | e1 = e2
    | e1 = op(e2,e3)
    | ~ spl20_25
    | ~ spl20_112
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f1885,f924]) ).

fof(f1884,plain,
    ( spl20_3
    | ~ spl20_99
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f1876,f931,f864,f398]) ).

fof(f1876,plain,
    ( e0 = e3
    | ~ spl20_99
    | ~ spl20_114 ),
    inference(superposition,[],[f932,f865]) ).

fof(f1875,plain,
    ( spl20_114
    | spl20_100
    | spl20_1
    | spl20_2
    | ~ spl20_31
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f1634,f1023,f525,f393,f388,f869,f931]) ).

fof(f1634,plain,
    ( e0 = e2
    | e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | ~ spl20_31
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f1633,f1025]) ).

fof(f1633,plain,
    ( e0 = e1
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f166,f527]) ).

fof(f1867,plain,
    ( spl20_133
    | spl20_5
    | spl20_3
    | spl20_6
    | ~ spl20_31
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1855,f1128,f886,f525,f413,f398,f408,f1864]) ).

fof(f1855,plain,
    ( e2 = e3
    | e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | ~ spl20_31
    | ~ spl20_104
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1854,f887]) ).

fof(f1854,plain,
    ( e0 = e3
    | e1 = e3
    | e3 = op(e1,e3)
    | e3 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1853,f1129]) ).

fof(f1852,plain,
    ( spl20_23
    | ~ spl20_21
    | ~ spl20_104
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f1851,f900,f886,f480,f489]) ).

fof(f1851,plain,
    ( e2 = op(e2,e2)
    | ~ spl20_21
    | ~ spl20_104
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f482,f1843]) ).

fof(f1850,plain,
    ( ~ spl20_10
    | spl20_21
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f1837,f864,f480,f430]) ).

fof(f1837,plain,
    ( e2 = op(e2,e3)
    | ~ sP19
    | ~ spl20_99 ),
    inference(trivial_inequality_removal,[],[f1836]) ).

fof(f1836,plain,
    ( e3 != e3
    | e2 = op(e2,e3)
    | ~ sP19
    | ~ spl20_99 ),
    inference(forward_demodulation,[],[f200,f865]) ).

fof(f200,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f1835,plain,
    ( ~ spl20_7
    | spl20_1
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f1831,f841,f388,f418]) ).

fof(f1831,plain,
    ( e0 = e1
    | ~ sP16
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f212,f842]) ).

fof(f1830,plain,
    ( ~ spl20_10
    | ~ spl20_99
    | spl20_4
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f1745,f927,f403,f864,f430]) ).

fof(f1745,plain,
    ( e1 = e2
    | e3 != op(e2,e2)
    | ~ sP19
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f200,f928]) ).

fof(f1809,plain,
    ( ~ spl20_24
    | ~ spl20_25
    | ~ spl20_95 ),
    inference(avatar_split_clause,[],[f1805,f846,f498,f494]) ).

fof(f1795,plain,
    ( ~ spl20_24
    | ~ spl20_25
    | ~ spl20_94
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1756,f1167,f841,f498,f494]) ).

fof(f1756,plain,
    ( ~ sP9
    | ~ spl20_25
    | ~ spl20_94
    | ~ spl20_130 ),
    inference(trivial_inequality_removal,[],[f1755]) ).

fof(f1755,plain,
    ( e1 != e1
    | ~ sP9
    | ~ spl20_25
    | ~ spl20_94
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1754,f842]) ).

fof(f1754,plain,
    ( op(e0,e0) != e1
    | ~ sP9
    | ~ spl20_25
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1753,f1738]) ).

fof(f1751,plain,
    ( spl20_5
    | ~ spl20_25
    | ~ spl20_94
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1750,f1167,f864,f841,f498,f408]) ).

fof(f1750,plain,
    ( e1 = e3
    | ~ spl20_25
    | ~ spl20_94
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1749,f842]) ).

fof(f1749,plain,
    ( op(e0,e0) = e3
    | ~ spl20_25
    | ~ spl20_99
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f865,f1738]) ).

fof(f1744,plain,
    ( spl20_99
    | spl20_6
    | spl20_5
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_113 ),
    inference(avatar_split_clause,[],[f1722,f927,f507,f498,f408,f413,f864]) ).

fof(f1722,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_113 ),
    inference(forward_demodulation,[],[f1698,f928]) ).

fof(f1698,plain,
    ( e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f1697]) ).

fof(f1697,plain,
    ( e2 = e3
    | e2 = e3
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f1696,f509]) ).

fof(f1717,plain,
    ( ~ spl20_35
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_116
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1712,f1012,f940,f910,f841,f543]) ).

fof(f1712,plain,
    ( e0 != op(e0,e3)
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_116
    | ~ spl20_123 ),
    inference(trivial_inequality_removal,[],[f1711]) ).

fof(f1711,plain,
    ( e3 != e3
    | e0 != op(e0,e3)
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_116
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1480,f941]) ).

fof(f1480,plain,
    ( e0 != op(e0,e3)
    | e3 != op(e0,e1)
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1479,f1464]) ).

fof(f1479,plain,
    ( e2 != op(e0,e3)
    | e3 != op(e0,e1)
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f1478]) ).

fof(f1478,plain,
    ( e1 != e1
    | e2 != op(e0,e3)
    | e3 != op(e0,e1)
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f384,f842]) ).

fof(f384,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,e3)
    | e3 != op(e0,e1) ),
    inference(inner_rewriting,[],[f383]) ).

fof(f383,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,e1))
    | e3 != op(e0,e1) ),
    inference(inner_rewriting,[],[f321]) ).

fof(f321,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( op(e0,e0) = e1
      & e2 = op(e0,op(e0,op(e0,e0)))
      & e3 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f1715,plain,
    ( ~ spl20_129
    | spl20_108
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1512,f1012,f910,f904,f1128]) ).

fof(f1512,plain,
    ( e0 != op(e1,e1)
    | spl20_108
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f906,f1464]) ).

fof(f906,plain,
    ( e2 != op(e1,e1)
    | spl20_108 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1704,plain,
    ( spl20_95
    | spl20_113
    | spl20_4
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(avatar_split_clause,[],[f1694,f507,f498,f403,f927,f846]) ).

fof(f1694,plain,
    ( e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(duplicate_literal_removal,[],[f1693]) ).

fof(f1693,plain,
    ( e1 = e2
    | e1 = e2
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27 ),
    inference(forward_demodulation,[],[f1692,f509]) ).

fof(f1691,plain,
    ( spl20_99
    | spl20_3
    | spl20_6
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(avatar_split_clause,[],[f1639,f856,f507,f498,f413,f398,f864]) ).

fof(f1639,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(duplicate_literal_removal,[],[f1638]) ).

fof(f1638,plain,
    ( e2 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1637,f509]) ).

fof(f1637,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | ~ spl20_25
    | ~ spl20_97 ),
    inference(forward_demodulation,[],[f1615,f500]) ).

fof(f1690,plain,
    ( ~ spl20_132
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1659,f1128,f900,f1687]) ).

fof(f1659,plain,
    ( e2 != op(e1,e3)
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(trivial_inequality_removal,[],[f1658]) ).

fof(f1658,plain,
    ( e3 != e3
    | e2 != op(e1,e3)
    | ~ spl20_107
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1426,f901]) ).

fof(f1426,plain,
    ( e2 != op(e1,e3)
    | e3 != op(e1,e0)
    | ~ spl20_129 ),
    inference(trivial_inequality_removal,[],[f1425]) ).

fof(f1425,plain,
    ( e0 != e0
    | e2 != op(e1,e3)
    | e3 != op(e1,e0)
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f356,f1129]) ).

fof(f356,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,e3)
    | e3 != op(e1,e0) ),
    inference(inner_rewriting,[],[f355]) ).

fof(f355,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e0))
    | e3 != op(e1,e0) ),
    inference(inner_rewriting,[],[f307]) ).

fof(f307,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(e1,op(e1,op(e1,e1)))
      & e3 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f1646,plain,
    ( spl20_1
    | ~ spl20_56
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f1644,f1171,f648,f388]) ).

fof(f1644,plain,
    ( e0 = e1
    | ~ spl20_56
    | ~ spl20_131 ),
    inference(forward_demodulation,[],[f649,f1173]) ).

fof(f1636,plain,
    ( spl20_4
    | ~ spl20_25
    | ~ spl20_54 ),
    inference(avatar_split_clause,[],[f1635,f637,f498,f403]) ).

fof(f1635,plain,
    ( e1 = e2
    | ~ spl20_25
    | ~ spl20_54 ),
    inference(forward_demodulation,[],[f500,f638]) ).

fof(f1630,plain,
    ( spl20_2
    | ~ spl20_37
    | ~ spl20_124 ),
    inference(avatar_split_clause,[],[f1628,f1023,f552,f393]) ).

fof(f1628,plain,
    ( e0 = e2
    | ~ spl20_37
    | ~ spl20_124 ),
    inference(forward_demodulation,[],[f1025,f554]) ).

fof(f1621,plain,
    ( spl20_6
    | ~ spl20_116
    | ~ spl20_119 ),
    inference(avatar_split_clause,[],[f1564,f953,f940,f413]) ).

fof(f1564,plain,
    ( e2 = e3
    | ~ spl20_116
    | ~ spl20_119 ),
    inference(superposition,[],[f941,f954]) ).

fof(f1595,plain,
    ( ~ spl20_31
    | ~ spl20_27
    | spl20_29
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f1585,f923,f516,f507,f525]) ).

fof(f1585,plain,
    ( e1 != op(e1,e2)
    | ~ spl20_27
    | spl20_29
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f517,f1540]) ).

fof(f517,plain,
    ( e1 != op(e1,e3)
    | spl20_29 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1586,plain,
    ( ~ spl20_36
    | ~ spl20_31
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f1576,f904,f525,f548]) ).

fof(f1576,plain,
    ( ~ sP2
    | ~ spl20_31
    | ~ spl20_108 ),
    inference(trivial_inequality_removal,[],[f1575]) ).

fof(f1575,plain,
    ( e2 != e2
    | ~ sP2
    | ~ spl20_31
    | ~ spl20_108 ),
    inference(forward_demodulation,[],[f1574,f905]) ).

fof(f1574,plain,
    ( e2 != op(e1,e1)
    | ~ sP2
    | ~ spl20_31 ),
    inference(trivial_inequality_removal,[],[f1573]) ).

fof(f1573,plain,
    ( e1 != e1
    | e2 != op(e1,e1)
    | ~ sP2
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f284,f527]) ).

fof(f284,plain,
    ( e1 != op(e1,e2)
    | e2 != op(e1,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f1568,plain,
    ( spl20_23
    | spl20_4
    | spl20_2
    | ~ spl20_27
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f1560,f923,f856,f552,f516,f507,f393,f403,f489]) ).

fof(f1560,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(duplicate_literal_removal,[],[f1559]) ).

fof(f1559,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_29
    | ~ spl20_37
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f1558,f554]) ).

fof(f1558,plain,
    ( e2 = op(e0,e2)
    | e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | ~ spl20_27
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f1557,f1540]) ).

fof(f1557,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e0,e3)
    | ~ spl20_27
    | ~ spl20_29
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f1556,f518]) ).

fof(f1556,plain,
    ( e0 = e2
    | e2 = op(e2,e2)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_27
    | ~ spl20_97
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f1555,f857]) ).

fof(f1555,plain,
    ( e2 = op(e2,e2)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | ~ spl20_27
    | ~ spl20_112 ),
    inference(forward_demodulation,[],[f178,f1540]) ).

fof(f1546,plain,
    ( ~ spl20_125
    | ~ spl20_94
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f1516,f940,f841,f1027]) ).

fof(f1516,plain,
    ( e2 != op(e0,e3)
    | ~ spl20_94
    | ~ spl20_116 ),
    inference(trivial_inequality_removal,[],[f1515]) ).

fof(f1515,plain,
    ( e3 != e3
    | e2 != op(e0,e3)
    | ~ spl20_94
    | ~ spl20_116 ),
    inference(forward_demodulation,[],[f1479,f941]) ).

fof(f1514,plain,
    ( spl20_5
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_112
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1511,f1012,f923,f910,f841,f408]) ).

fof(f1511,plain,
    ( e1 = e3
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_112
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1510,f842]) ).

fof(f1510,plain,
    ( op(e0,e0) = e3
    | ~ spl20_109
    | ~ spl20_112
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f924,f1464]) ).

fof(f1495,plain,
    ( spl20_129
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1494,f1012,f910,f904,f1128]) ).

fof(f1494,plain,
    ( e0 = op(e1,e1)
    | ~ spl20_108
    | ~ spl20_109
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f905,f1464]) ).

fof(f1493,plain,
    ( spl20_108
    | spl20_4
    | spl20_6
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(avatar_split_clause,[],[f1444,f900,f525,f516,f413,f403,f904]) ).

fof(f1444,plain,
    ( e2 = e3
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_107 ),
    inference(forward_demodulation,[],[f1381,f901]) ).

fof(f1381,plain,
    ( e1 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_31 ),
    inference(duplicate_literal_removal,[],[f1380]) ).

fof(f1380,plain,
    ( e1 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_31 ),
    inference(forward_demodulation,[],[f1379,f527]) ).

fof(f1471,plain,
    ( spl20_122
    | ~ spl20_54
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1456,f1167,f637,f1008]) ).

fof(f1456,plain,
    ( e0 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1169,f1303]) ).

fof(f1457,plain,
    ( spl20_6
    | spl20_3
    | ~ spl20_54
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1451,f1167,f1008,f910,f841,f637,f398,f413]) ).

fof(f1451,plain,
    ( e0 = e3
    | e2 = e3
    | ~ spl20_54
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f1450]) ).

fof(f1450,plain,
    ( e0 = e3
    | e0 = e3
    | e2 = e3
    | ~ spl20_54
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_122
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1315,f1010]) ).

fof(f1315,plain,
    ( e0 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1314,f1303]) ).

fof(f1314,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_94
    | ~ spl20_109
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1313,f842]) ).

fof(f1313,plain,
    ( op(e0,e0) = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | ~ spl20_54
    | ~ spl20_109
    | ~ spl20_130 ),
    inference(duplicate_literal_removal,[],[f1312]) ).

fof(f1312,plain,
    ( op(e0,e0) = e3
    | e2 = e3
    | e3 = op(e2,e0)
    | op(e0,e0) = e3
    | ~ spl20_54
    | ~ spl20_109
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1311,f1303]) ).

fof(f1440,plain,
    ( spl20_104
    | spl20_4
    | spl20_2
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1428,f1128,f525,f516,f393,f403,f886]) ).

fof(f1428,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e0)
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1381,f1129]) ).

fof(f1424,plain,
    ( spl20_108
    | spl20_4
    | spl20_2
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f1382,f1004,f525,f516,f393,f403,f904]) ).

fof(f1382,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e1)
    | ~ spl20_29
    | ~ spl20_31
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f1381,f1006]) ).

fof(f1419,plain,
    ( spl20_111
    | spl20_3
    | spl20_2
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(avatar_split_clause,[],[f1365,f910,f462,f453,f393,f398,f918]) ).

fof(f1365,plain,
    ( e0 = e2
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_15
    | ~ spl20_17
    | ~ spl20_109 ),
    inference(forward_demodulation,[],[f1364,f911]) ).

fof(f1364,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_15
    | ~ spl20_17 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1418,plain,
    ( ~ spl20_9
    | spl20_23 ),
    inference(avatar_split_clause,[],[f202,f489,f426]) ).

fof(f202,plain,
    ( e2 = op(e2,e2)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f1384,plain,
    ( ~ spl20_36
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f1378,f489,f548]) ).

fof(f1378,plain,
    ( ~ sP2
    | ~ spl20_23 ),
    inference(trivial_inequality_removal,[],[f1377]) ).

fof(f1377,plain,
    ( e2 != e2
    | ~ sP2
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f325,f491]) ).

fof(f325,plain,
    ( e2 != op(e2,e2)
    | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f1375,plain,
    ( ~ spl20_28
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f1368,f444,f512]) ).

fof(f1368,plain,
    ( ~ sP7
    | ~ spl20_13 ),
    inference(trivial_inequality_removal,[],[f1367]) ).

fof(f1367,plain,
    ( e3 != e3
    | ~ sP7
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f330,f446]) ).

fof(f1366,plain,
    ( spl20_1
    | ~ spl20_33
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f1351,f1004,f534,f388]) ).

fof(f1351,plain,
    ( e0 = e1
    | ~ spl20_33
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f536,f1006]) ).

fof(f1352,plain,
    ( spl20_3
    | ~ spl20_15
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f1343,f869,f453,f398]) ).

fof(f1343,plain,
    ( e0 = e3
    | ~ spl20_15
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f455,f870]) ).

fof(f1349,plain,
    ( ~ spl20_38
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f1348,f841,f561,f557]) ).

fof(f1348,plain,
    ( ~ sP1
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f1347]) ).

fof(f1347,plain,
    ( e1 != e1
    | ~ sP1
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f1346,f842]) ).

fof(f1346,plain,
    ( op(e0,e0) != e1
    | ~ sP1
    | ~ spl20_39 ),
    inference(trivial_inequality_removal,[],[f1345]) ).

fof(f1345,plain,
    ( e0 != e0
    | op(e0,e0) != e1
    | ~ sP1
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f288,f563]) ).

fof(f288,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) != e1
    | ~ sP1 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f1344,plain,
    ( ~ spl20_14
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f1341,f489,f449]) ).

fof(f1341,plain,
    ( ~ sP14
    | ~ spl20_23 ),
    inference(trivial_inequality_removal,[],[f1340]) ).

fof(f1339,plain,
    ( ~ spl20_30
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f1338,f489,f521]) ).

fof(f1338,plain,
    ( ~ sP6
    | ~ spl20_23 ),
    inference(trivial_inequality_removal,[],[f1337]) ).

fof(f1337,plain,
    ( e2 != e2
    | ~ sP6
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f329,f491]) ).

fof(f329,plain,
    ( e2 != op(e2,e2)
    | ~ sP6 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f1336,plain,
    ( ~ spl20_16
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f1335,f841,f561,f458]) ).

fof(f1335,plain,
    ( ~ sP13
    | ~ spl20_39
    | ~ spl20_94 ),
    inference(trivial_inequality_removal,[],[f1334]) ).

fof(f1328,plain,
    ( spl20_3
    | ~ spl20_37
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f1327,f1057,f552,f398]) ).

fof(f1327,plain,
    ( e0 = e3
    | ~ spl20_37
    | ~ spl20_126 ),
    inference(forward_demodulation,[],[f1059,f554]) ).

fof(f1322,plain,
    ( spl20_41
    | ~ spl20_54
    | ~ spl20_121
    | ~ spl20_130 ),
    inference(avatar_split_clause,[],[f1321,f1167,f1004,f637,f570]) ).

fof(f1321,plain,
    ( e0 = op(e0,e0)
    | ~ spl20_54
    | ~ spl20_121
    | ~ spl20_130 ),
    inference(forward_demodulation,[],[f1006,f1303]) ).

fof(f1309,plain,
    ( spl20_107
    | spl20_19
    | spl20_3
    | spl20_5
    | ~ spl20_94
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f1236,f1008,f841,f408,f398,f471,f900]) ).

fof(f1236,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | ~ spl20_94
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f1235,f842]) ).

fof(f1302,plain,
    ( spl20_104
    | spl20_4
    | spl20_2
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f1240,f1128,f882,f525,f393,f403,f886]) ).

fof(f1240,plain,
    ( e0 = e2
    | e1 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(duplicate_literal_removal,[],[f1239]) ).

fof(f1239,plain,
    ( e0 = e2
    | e1 = e2
    | e0 = e2
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1238,f1129]) ).

fof(f1238,plain,
    ( e1 = e2
    | e0 = e2
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_31
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f1237,f527]) ).

fof(f1237,plain,
    ( e0 = e2
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | ~ spl20_103 ),
    inference(forward_demodulation,[],[f161,f883]) ).

fof(f1294,plain,
    ( spl20_2
    | ~ spl20_27
    | ~ spl20_122 ),
    inference(avatar_split_clause,[],[f1293,f1008,f507,f393]) ).

fof(f1293,plain,
    ( e0 = e2
    | ~ spl20_27
    | ~ spl20_122 ),
    inference(forward_demodulation,[],[f509,f1010]) ).

fof(f1286,plain,
    ( spl20_5
    | ~ spl20_13
    | ~ spl20_96 ),
    inference(avatar_split_clause,[],[f1276,f851,f444,f408]) ).

fof(f1276,plain,
    ( e1 = e3
    | ~ spl20_13
    | ~ spl20_96 ),
    inference(superposition,[],[f852,f446]) ).

fof(f1272,plain,
    ( spl20_96
    | spl20_5
    | spl20_1
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f1252,f869,f471,f462,f388,f408,f851]) ).

fof(f1252,plain,
    ( e0 = e1
    | e1 = e3
    | e1 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f1231,f870]) ).

fof(f1231,plain,
    ( e1 = e3
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1244,plain,
    ( spl20_4
    | ~ spl20_94
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f1242,f944,f841,f403]) ).

fof(f1242,plain,
    ( e1 = e2
    | ~ spl20_94
    | ~ spl20_117 ),
    inference(forward_demodulation,[],[f945,f842]) ).

fof(f1234,plain,
    ( spl20_100
    | spl20_111
    | spl20_3
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(avatar_split_clause,[],[f1228,f471,f462,f398,f918,f869]) ).

fof(f1228,plain,
    ( e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(duplicate_literal_removal,[],[f1227]) ).

fof(f1227,plain,
    ( e0 = e3
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | ~ spl20_17
    | ~ spl20_19 ),
    inference(forward_demodulation,[],[f1138,f473]) ).

fof(f1226,plain,
    ( spl20_3
    | ~ spl20_13
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f1200,f918,f444,f398]) ).

fof(f1200,plain,
    ( e0 = e3
    | ~ spl20_13
    | ~ spl20_111 ),
    inference(superposition,[],[f919,f446]) ).

fof(f1220,plain,
    ( spl20_50
    | ~ spl20_13
    | ~ spl20_56
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f1219,f918,f648,f444,f616]) ).

fof(f1219,plain,
    ( e1 = op(e0,e1)
    | ~ spl20_13
    | ~ spl20_56
    | ~ spl20_111 ),
    inference(forward_demodulation,[],[f649,f1200]) ).

fof(f1217,plain,
    ( spl20_50
    | spl20_11
    | spl20_54
    | spl20_56 ),
    inference(avatar_split_clause,[],[f160,f648,f637,f435,f616]) ).

fof(f160,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1211,plain,
    ( spl20_33
    | spl20_11
    | spl20_31
    | spl20_29 ),
    inference(avatar_split_clause,[],[f159,f516,f525,f435,f534]) ).

fof(f159,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e1,e2)
    | e1 = op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1199,plain,
    ( spl20_111
    | spl20_1
    | spl20_3
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f1187,f914,f471,f462,f398,f388,f918]) ).

fof(f1187,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(duplicate_literal_removal,[],[f1186]) ).

fof(f1186,plain,
    ( e0 = e3
    | e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | ~ spl20_17
    | ~ spl20_19
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f1185,f473]) ).

fof(f1185,plain,
    ( e0 = e1
    | e0 = e3
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | ~ spl20_17
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f1138,f915]) ).

fof(f1184,plain,
    ( spl20_3
    | ~ spl20_17
    | ~ spl20_131 ),
    inference(avatar_split_clause,[],[f1175,f1171,f462,f398]) ).

fof(f1175,plain,
    ( e0 = e3
    | ~ spl20_17
    | ~ spl20_131 ),
    inference(superposition,[],[f1173,f464]) ).

fof(f1181,plain,
    ( spl20_129
    | spl20_106
    | spl20_103
    | spl20_2
    | ~ spl20_104 ),
    inference(avatar_split_clause,[],[f1145,f886,f393,f882,f896,f1128]) ).

fof(f1145,plain,
    ( e0 = e2
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f157,f887]) ).

fof(f1174,plain,
    ( spl20_129
    | spl20_130
    | spl20_131
    | spl20_3
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f1105,f940,f398,f1171,f1167,f1128]) ).

fof(f1105,plain,
    ( e0 = e3
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | ~ spl20_116 ),
    inference(forward_demodulation,[],[f158,f941]) ).

fof(f1158,plain,
    ( spl20_115
    | spl20_31
    | spl20_110
    | spl20_4
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f1096,f489,f403,f914,f525,f936]) ).

fof(f1096,plain,
    ( e1 = e2
    | e1 = op(e3,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | ~ spl20_23 ),
    inference(forward_demodulation,[],[f168,f491]) ).

fof(f1151,plain,
    ( spl20_112
    | spl20_19
    | spl20_6
    | spl20_5
    | ~ spl20_94
    | ~ spl20_104 ),
    inference(avatar_split_clause,[],[f1135,f886,f841,f408,f413,f471,f923]) ).

fof(f1135,plain,
    ( e1 = e3
    | e2 = e3
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | ~ spl20_94
    | ~ spl20_104 ),
    inference(forward_demodulation,[],[f1134,f842]) ).

fof(f1144,plain,
    ( spl20_2
    | ~ spl20_104
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f1139,f1004,f886,f393]) ).

fof(f1139,plain,
    ( e0 = e2
    | ~ spl20_104
    | ~ spl20_121 ),
    inference(superposition,[],[f1006,f887]) ).

fof(f1132,plain,
    ( spl20_107
    | spl20_112
    | spl20_3
    | spl20_5
    | ~ spl20_94
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1118,f1012,f841,f408,f398,f923,f900]) ).

fof(f1118,plain,
    ( e1 = e3
    | e0 = e3
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | ~ spl20_94
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1099,f842]) ).

fof(f1131,plain,
    ( ~ spl20_104
    | ~ spl20_128
    | ~ spl20_129 ),
    inference(avatar_split_clause,[],[f374,f1128,f1124,f886]) ).

fof(f374,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,e2)
    | e2 != op(e1,e0) ),
    inference(inner_rewriting,[],[f373]) ).

fof(f373,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,e0))
    | e2 != op(e1,e0) ),
    inference(inner_rewriting,[],[f316]) ).

fof(f316,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e2 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e0 = op(e1,e1)
      & e3 = op(e1,op(e1,op(e1,e1)))
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f1117,plain,
    ( spl20_107
    | spl20_3
    | spl20_6
    | spl20_5
    | ~ spl20_27
    | ~ spl20_94
    | ~ spl20_123 ),
    inference(avatar_split_clause,[],[f1103,f1012,f841,f507,f408,f413,f398,f900]) ).

fof(f1103,plain,
    ( e1 = e3
    | e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | ~ spl20_27
    | ~ spl20_94
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1100,f842]) ).

fof(f1100,plain,
    ( e2 = e3
    | e0 = e3
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | ~ spl20_27
    | ~ spl20_123 ),
    inference(forward_demodulation,[],[f1099,f509]) ).

fof(f1102,plain,
    ( spl20_3
    | ~ spl20_39
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f1101,f940,f561,f398]) ).

fof(f1101,plain,
    ( e0 = e3
    | ~ spl20_39
    | ~ spl20_116 ),
    inference(forward_demodulation,[],[f941,f563]) ).

fof(f1093,plain,
    ( ~ spl20_125
    | ~ spl20_115
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f1079,f957,f936,f1027]) ).

fof(f1079,plain,
    ( e2 != op(e0,e3)
    | ~ spl20_115
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f1078]) ).

fof(f1078,plain,
    ( e1 != e1
    | e2 != op(e0,e3)
    | ~ spl20_115
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f1073,f937]) ).

fof(f1073,plain,
    ( e1 != op(e0,e2)
    | e2 != op(e0,e3)
    | ~ spl20_120 ),
    inference(trivial_inequality_removal,[],[f1072]) ).

fof(f1072,plain,
    ( e3 != e3
    | e1 != op(e0,e2)
    | e2 != op(e0,e3)
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f378,f958]) ).

fof(f378,plain,
    ( op(e0,e0) != e3
    | e1 != op(e0,e2)
    | e2 != op(e0,e3) ),
    inference(inner_rewriting,[],[f377]) ).

fof(f377,plain,
    ( op(e0,e0) != e3
    | e1 != op(e0,op(e0,e3))
    | e2 != op(e0,e3) ),
    inference(inner_rewriting,[],[f318]) ).

fof(f318,plain,
    ( op(e0,e0) != e3
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( op(e0,e0) != e3
    | e1 != op(e0,op(e0,op(e0,e0)))
    | e2 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( op(e0,e0) = e3
      & e1 = op(e0,op(e0,op(e0,e0)))
      & e2 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f1077,plain,
    ( spl20_1
    | ~ spl20_37
    | ~ spl20_115 ),
    inference(avatar_split_clause,[],[f1075,f936,f552,f388]) ).

fof(f1075,plain,
    ( e0 = e1
    | ~ spl20_37
    | ~ spl20_115 ),
    inference(forward_demodulation,[],[f937,f554]) ).

fof(f1069,plain,
    ( spl20_5
    | ~ spl20_94
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f1068,f957,f841,f408]) ).

fof(f1068,plain,
    ( e1 = e3
    | ~ spl20_94
    | ~ spl20_120 ),
    inference(forward_demodulation,[],[f958,f842]) ).

fof(f1067,plain,
    ( spl20_6
    | ~ spl20_125
    | ~ spl20_127 ),
    inference(avatar_split_clause,[],[f1065,f1061,f1027,f413]) ).

fof(f1065,plain,
    ( e2 = e3
    | ~ spl20_125
    | ~ spl20_127 ),
    inference(forward_demodulation,[],[f1063,f1029]) ).

fof(f1064,plain,
    ( spl20_120
    | spl20_116
    | spl20_126
    | spl20_127 ),
    inference(avatar_split_clause,[],[f155,f1061,f1057,f940,f957]) ).

fof(f155,plain,
    ( e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1050,plain,
    ( spl20_117
    | spl20_104
    | spl20_27
    | spl20_109 ),
    inference(avatar_split_clause,[],[f154,f910,f507,f886,f944]) ).

fof(f154,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1042,plain,
    ( spl20_103
    | spl20_97
    | spl20_111
    | spl20_2
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f1033,f1027,f393,f918,f856,f882]) ).

fof(f1033,plain,
    ( e0 = e2
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f174,f1029]) ).

fof(f1032,plain,
    ( spl20_2
    | ~ spl20_35
    | ~ spl20_125 ),
    inference(avatar_split_clause,[],[f1031,f1027,f543,f393]) ).

fof(f1031,plain,
    ( e0 = e2
    | ~ spl20_35
    | ~ spl20_125 ),
    inference(forward_demodulation,[],[f1029,f545]) ).

fof(f1030,plain,
    ( spl20_117
    | spl20_119
    | spl20_124
    | spl20_125 ),
    inference(avatar_split_clause,[],[f153,f1027,f1023,f953,f944]) ).

fof(f153,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1015,plain,
    ( spl20_121
    | spl20_122
    | spl20_123
    | spl20_1
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f995,f841,f388,f1012,f1008,f1004]) ).

fof(f995,plain,
    ( e0 = e1
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f150,f842]) ).

fof(f994,plain,
    ( spl20_1
    | ~ spl20_41
    | ~ spl20_94 ),
    inference(avatar_split_clause,[],[f993,f841,f570,f388]) ).

fof(f993,plain,
    ( e0 = e1
    | ~ spl20_41
    | ~ spl20_94 ),
    inference(forward_demodulation,[],[f842,f572]) ).

fof(f992,plain,
    ( spl20_94
    | spl20_50
    | spl20_115
    | spl20_118 ),
    inference(avatar_split_clause,[],[f151,f949,f936,f616,f841]) ).

fof(f151,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f988,plain,
    ( spl20_41
    | spl20_39
    | spl20_37
    | spl20_35 ),
    inference(avatar_split_clause,[],[f149,f543,f552,f561,f570]) ).

fof(f149,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f982,plain,
    ( ~ spl20_16
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f981,f435,f458]) ).

fof(f981,plain,
    ( ~ sP13
    | ~ spl20_11 ),
    inference(trivial_inequality_removal,[],[f980]) ).

fof(f980,plain,
    ( e1 != e1
    | ~ sP13
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f336,f437]) ).

fof(f979,plain,
    ( ~ spl20_12
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f338,f444,f440]) ).

fof(f440,plain,
    ( spl20_12
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

fof(f338,plain,
    ( e3 != op(e3,e3)
    | ~ sP15 ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f221,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e3 = op(e3,e3) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & e3 = op(e3,e3) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f969,plain,
    ( ~ spl20_22
    | ~ spl20_23 ),
    inference(avatar_split_clause,[],[f333,f489,f485]) ).

fof(f485,plain,
    ( spl20_22
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).

fof(f333,plain,
    ( e2 != op(e2,e2)
    | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f245,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e2 = op(e2,e2) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ( ( e3 != op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & e2 = op(e2,e2) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f961,plain,
    ( spl20_40
    | spl20_38
    | spl20_36
    | spl20_34
    | spl20_32
    | spl20_42
    | spl20_30
    | spl20_28
    | spl20_26
    | spl20_24
    | spl20_22
    | spl20_20
    | spl20_18
    | spl20_16
    | spl20_14
    | spl20_12 ),
    inference(avatar_split_clause,[],[f297,f440,f449,f458,f467,f476,f485,f494,f503,f512,f521,f575,f530,f539,f548,f557,f566]) ).

fof(f297,plain,
    ( sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( sP19
      | sP18
      | sP17
      | sP16 )
    & ( sP15
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f5,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f71,plain,
    ( ( ( e3 = op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 = op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 = op(e0,e1)
        | op(e0,e0) != e1 )
      & e1 = op(e1,e1) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f5,axiom,
    ( ( ( ( e3 = op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e2 = op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e1 = op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e0 = op(e0,e3)
          | op(e0,e0) != e3 )
        & e3 = op(e3,e3) )
      | ( ( e3 = op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e2 = op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e1 = op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e0 = op(e0,e2)
          | op(e0,e0) != e2 )
        & e2 = op(e2,e2) )
      | ( ( e3 = op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e2 = op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e1 = op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e0 = op(e0,e1)
          | op(e0,e0) != e1 )
        & e1 = op(e1,e1) )
      | ( ( e3 = op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 = op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 = op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 = op(e0,e0)
          | e0 != op(e0,e0) )
        & e0 = op(e0,e0) ) )
    & ( ( ( e3 != op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e2 != op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e1 != op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e0 != op(e0,e3)
          | op(e0,e0) != e3 )
        & e3 = op(e3,e3) )
      | ( ( e3 != op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e2 != op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e1 != op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e0 != op(e0,e2)
          | op(e0,e0) != e2 )
        & e3 = op(e3,e2) )
      | ( ( e3 != op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e2 != op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e1 != op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e0 != op(e0,e1)
          | op(e0,e0) != e1 )
        & e3 = op(e3,e1) )
      | ( ( e3 != op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 != op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 != op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 != op(e0,e0)
          | e0 != op(e0,e0) )
        & e3 = op(e3,e0) )
      | ( ( e3 != op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e2 != op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e1 != op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e0 != op(e0,e3)
          | op(e0,e0) != e3 )
        & e2 = op(e2,e3) )
      | ( ( e3 != op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e2 != op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e1 != op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e0 != op(e0,e2)
          | op(e0,e0) != e2 )
        & e2 = op(e2,e2) )
      | ( ( e3 != op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e2 != op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e1 != op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e0 != op(e0,e1)
          | op(e0,e0) != e1 )
        & e2 = op(e2,e1) )
      | ( ( e3 != op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 != op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 != op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 != op(e0,e0)
          | e0 != op(e0,e0) )
        & e2 = op(e2,e0) )
      | ( ( e3 != op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e2 != op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e1 != op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e0 != op(e0,e3)
          | op(e0,e0) != e3 )
        & e1 = op(e1,e3) )
      | ( ( e3 != op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e2 != op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e1 != op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e0 != op(e0,e2)
          | op(e0,e0) != e2 )
        & e1 = op(e1,e2) )
      | ( ( e3 != op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e2 != op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e1 != op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e0 != op(e0,e1)
          | op(e0,e0) != e1 )
        & e1 = op(e1,e1) )
      | ( ( e3 != op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 != op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 != op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 != op(e0,e0)
          | e0 != op(e0,e0) )
        & e1 = op(e1,e0) )
      | ( ( e3 != op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e2 != op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e1 != op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e0 != op(e0,e3)
          | op(e0,e0) != e3 )
        & e0 = op(e0,e3) )
      | ( ( e3 != op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e2 != op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e1 != op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e0 != op(e0,e2)
          | op(e0,e0) != e2 )
        & e0 = op(e0,e2) )
      | ( ( e3 != op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e2 != op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e1 != op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e0 != op(e0,e1)
          | op(e0,e0) != e1 )
        & e0 = op(e0,e1) )
      | ( ( e3 != op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 != op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 != op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 != op(e0,e0)
          | e0 != op(e0,e0) )
        & e0 = op(e0,e0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f960,plain,
    ( ~ spl20_118
    | ~ spl20_119
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f386,f957,f953,f949]) ).

fof(f386,plain,
    ( op(e0,e0) != e3
    | e2 != op(e0,e1)
    | e1 != op(e0,e3) ),
    inference(inner_rewriting,[],[f385]) ).

fof(f385,plain,
    ( op(e0,e0) != e3
    | e2 != op(e0,op(e0,e3))
    | e1 != op(e0,e3) ),
    inference(inner_rewriting,[],[f322]) ).

fof(f322,plain,
    ( op(e0,e0) != e3
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( op(e0,e0) != e3
    | e2 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(e0,op(e0,op(e0,e0)))
      & e1 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f947,plain,
    ( ~ spl20_115
    | ~ spl20_116
    | ~ spl20_117 ),
    inference(avatar_split_clause,[],[f376,f944,f940,f936]) ).

fof(f376,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,e1)
    | e1 != op(e0,e2) ),
    inference(inner_rewriting,[],[f375]) ).

fof(f375,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,op(e0,e2))
    | e1 != op(e0,e2) ),
    inference(inner_rewriting,[],[f317]) ).

fof(f317,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,op(e0,op(e0,e0)))
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( op(e0,e0) = e2
      & e3 = op(e0,op(e0,op(e0,e0)))
      & e1 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f934,plain,
    ( ~ spl20_112
    | ~ spl20_113
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f372,f931,f927,f923]) ).

fof(f372,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,e3)
    | e3 != op(e2,e0) ),
    inference(inner_rewriting,[],[f371]) ).

fof(f371,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e0))
    | e3 != op(e2,e0) ),
    inference(inner_rewriting,[],[f315]) ).

fof(f315,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(e2,op(e2,op(e2,e2)))
      & e3 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f921,plain,
    ( ~ spl20_109
    | ~ spl20_110
    | ~ spl20_111 ),
    inference(avatar_split_clause,[],[f370,f918,f914,f910]) ).

fof(f370,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,e2)
    | e2 != op(e3,e0) ),
    inference(inner_rewriting,[],[f369]) ).

fof(f369,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(e3,e0))
    | e2 != op(e3,e0) ),
    inference(inner_rewriting,[],[f314]) ).

fof(f314,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(e3,op(e3,op(e3,e3)))
      & e2 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f907,plain,
    ( ~ spl20_106
    | ~ spl20_107
    | ~ spl20_108 ),
    inference(avatar_split_clause,[],[f348,f904,f900,f896]) ).

fof(f348,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e1,e0)
    | e0 != op(e1,e2) ),
    inference(inner_rewriting,[],[f347]) ).

fof(f347,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e2))
    | e0 != op(e1,e2) ),
    inference(inner_rewriting,[],[f303]) ).

fof(f303,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f893,plain,
    ( ~ spl20_103
    | ~ spl20_104
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f344,f890,f886,f882]) ).

fof(f344,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,e0)
    | e0 != op(e1,e3) ),
    inference(inner_rewriting,[],[f343]) ).

fof(f343,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,op(e1,e3))
    | e0 != op(e1,e3) ),
    inference(inner_rewriting,[],[f301]) ).

fof(f301,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( e3 != op(e1,e1)
    | e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f880,plain,
    ( ~ spl20_100
    | ~ spl20_101
    | ~ spl20_102 ),
    inference(avatar_split_clause,[],[f342,f877,f873,f869]) ).

fof(f342,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,e0)
    | e0 != op(e3,e2) ),
    inference(inner_rewriting,[],[f341]) ).

fof(f341,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e2))
    | e0 != op(e3,e2) ),
    inference(inner_rewriting,[],[f300]) ).

fof(f300,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e2 = op(e3,e3)
      & e1 = op(e3,op(e3,op(e3,e3)))
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f867,plain,
    ( ~ spl20_97
    | ~ spl20_98
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f340,f864,f860,f856]) ).

fof(f340,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,e0)
    | e0 != op(e2,e3) ),
    inference(inner_rewriting,[],[f339]) ).

fof(f339,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(inner_rewriting,[],[f299]) ).

fof(f299,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f854,plain,
    ( ~ spl20_8
    | ~ spl20_96
    | spl20_17 ),
    inference(avatar_split_clause,[],[f211,f462,f851,f422]) ).

fof(f422,plain,
    ( spl20_8
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f211,plain,
    ( e3 = op(e3,e1)
    | e1 != op(e3,e3)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( ( e3 = op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e2 = op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e0 = op(e0,e1)
        | op(e0,e0) != e1 )
      & e1 = op(e1,e1) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f71]) ).

fof(f849,plain,
    ( ~ spl20_8
    | ~ spl20_95
    | spl20_25 ),
    inference(avatar_split_clause,[],[f210,f498,f846,f422]) ).

fof(f210,plain,
    ( e2 = op(e2,e1)
    | e1 != op(e2,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f844,plain,
    ( ~ spl20_8
    | ~ spl20_94
    | spl20_39 ),
    inference(avatar_split_clause,[],[f208,f561,f841,f422]) ).

fof(f208,plain,
    ( e0 = op(e0,e1)
    | op(e0,e0) != e1
    | ~ sP17 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f839,plain,
    ~ spl20_93,
    inference(avatar_split_clause,[],[f148,f836]) ).

fof(f148,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f834,plain,
    ~ spl20_92,
    inference(avatar_split_clause,[],[f147,f831]) ).

fof(f147,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f829,plain,
    ~ spl20_91,
    inference(avatar_split_clause,[],[f146,f826]) ).

fof(f826,plain,
    ( spl20_91
  <=> op(e3,e1) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).

fof(f146,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f824,plain,
    ~ spl20_90,
    inference(avatar_split_clause,[],[f145,f821]) ).

fof(f821,plain,
    ( spl20_90
  <=> op(e3,e0) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).

fof(f145,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f819,plain,
    ~ spl20_89,
    inference(avatar_split_clause,[],[f144,f816]) ).

fof(f816,plain,
    ( spl20_89
  <=> op(e3,e0) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).

fof(f144,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f814,plain,
    ~ spl20_88,
    inference(avatar_split_clause,[],[f143,f811]) ).

fof(f143,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f809,plain,
    ~ spl20_87,
    inference(avatar_split_clause,[],[f142,f806]) ).

fof(f806,plain,
    ( spl20_87
  <=> op(e2,e2) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).

fof(f142,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f804,plain,
    ~ spl20_86,
    inference(avatar_split_clause,[],[f141,f801]) ).

fof(f141,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f799,plain,
    ~ spl20_85,
    inference(avatar_split_clause,[],[f140,f796]) ).

fof(f796,plain,
    ( spl20_85
  <=> op(e2,e1) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).

fof(f140,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f794,plain,
    ~ spl20_84,
    inference(avatar_split_clause,[],[f139,f791]) ).

fof(f139,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f789,plain,
    ~ spl20_83,
    inference(avatar_split_clause,[],[f138,f786]) ).

fof(f138,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f784,plain,
    ~ spl20_82,
    inference(avatar_split_clause,[],[f137,f781]) ).

fof(f781,plain,
    ( spl20_82
  <=> op(e2,e0) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).

fof(f137,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f779,plain,
    ~ spl20_81,
    inference(avatar_split_clause,[],[f136,f776]) ).

fof(f136,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f773,plain,
    ~ spl20_80,
    inference(avatar_split_clause,[],[f135,f770]) ).

fof(f135,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f767,plain,
    ~ spl20_79,
    inference(avatar_split_clause,[],[f134,f764]) ).

fof(f134,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f762,plain,
    ~ spl20_78,
    inference(avatar_split_clause,[],[f133,f759]) ).

fof(f759,plain,
    ( spl20_78
  <=> op(e1,e0) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).

fof(f133,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f757,plain,
    ~ spl20_77,
    inference(avatar_split_clause,[],[f132,f754]) ).

fof(f754,plain,
    ( spl20_77
  <=> op(e1,e0) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).

fof(f132,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f751,plain,
    ~ spl20_76,
    inference(avatar_split_clause,[],[f131,f748]) ).

fof(f748,plain,
    ( spl20_76
  <=> op(e1,e0) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).

fof(f131,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f746,plain,
    ~ spl20_75,
    inference(avatar_split_clause,[],[f130,f743]) ).

fof(f130,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f741,plain,
    ~ spl20_74,
    inference(avatar_split_clause,[],[f129,f738]) ).

fof(f129,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f736,plain,
    ~ spl20_73,
    inference(avatar_split_clause,[],[f128,f733]) ).

fof(f733,plain,
    ( spl20_73
  <=> op(e0,e1) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).

fof(f128,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f731,plain,
    ~ spl20_72,
    inference(avatar_split_clause,[],[f127,f728]) ).

fof(f728,plain,
    ( spl20_72
  <=> op(e0,e0) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).

fof(f127,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f726,plain,
    ~ spl20_71,
    inference(avatar_split_clause,[],[f126,f723]) ).

fof(f723,plain,
    ( spl20_71
  <=> op(e0,e0) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).

fof(f126,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f721,plain,
    ~ spl20_70,
    inference(avatar_split_clause,[],[f125,f718]) ).

fof(f718,plain,
    ( spl20_70
  <=> op(e0,e0) = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).

fof(f125,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f716,plain,
    ~ spl20_69,
    inference(avatar_split_clause,[],[f124,f713]) ).

fof(f124,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f711,plain,
    ~ spl20_68,
    inference(avatar_split_clause,[],[f123,f708]) ).

fof(f708,plain,
    ( spl20_68
  <=> op(e1,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).

fof(f123,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f706,plain,
    ~ spl20_67,
    inference(avatar_split_clause,[],[f122,f703]) ).

fof(f703,plain,
    ( spl20_67
  <=> op(e1,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).

fof(f122,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f701,plain,
    ~ spl20_66,
    inference(avatar_split_clause,[],[f121,f698]) ).

fof(f121,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f696,plain,
    ~ spl20_65,
    inference(avatar_split_clause,[],[f120,f693]) ).

fof(f693,plain,
    ( spl20_65
  <=> op(e0,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).

fof(f120,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f691,plain,
    ~ spl20_64,
    inference(avatar_split_clause,[],[f119,f688]) ).

fof(f688,plain,
    ( spl20_64
  <=> op(e0,e3) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).

fof(f119,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f686,plain,
    ~ spl20_63,
    inference(avatar_split_clause,[],[f118,f683]) ).

fof(f683,plain,
    ( spl20_63
  <=> op(e2,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).

fof(f118,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f681,plain,
    ~ spl20_62,
    inference(avatar_split_clause,[],[f117,f678]) ).

fof(f117,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f676,plain,
    ~ spl20_61,
    inference(avatar_split_clause,[],[f116,f673]) ).

fof(f116,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f671,plain,
    ~ spl20_60,
    inference(avatar_split_clause,[],[f115,f668]) ).

fof(f668,plain,
    ( spl20_60
  <=> op(e0,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).

fof(f115,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f666,plain,
    ~ spl20_59,
    inference(avatar_split_clause,[],[f114,f663]) ).

fof(f114,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f661,plain,
    ~ spl20_58,
    inference(avatar_split_clause,[],[f113,f658]) ).

fof(f658,plain,
    ( spl20_58
  <=> op(e0,e2) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).

fof(f113,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f656,plain,
    ~ spl20_57,
    inference(avatar_split_clause,[],[f112,f653]) ).

fof(f653,plain,
    ( spl20_57
  <=> op(e2,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).

fof(f112,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f651,plain,
    ( ~ spl20_56
    | ~ spl20_11
    | spl20_55 ),
    inference(avatar_split_clause,[],[f646,f642,f435,f648]) ).

fof(f645,plain,
    ~ spl20_55,
    inference(avatar_split_clause,[],[f111,f642]) ).

fof(f111,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f640,plain,
    ( ~ spl20_54
    | ~ spl20_11
    | spl20_53 ),
    inference(avatar_split_clause,[],[f635,f631,f435,f637]) ).

fof(f634,plain,
    ~ spl20_53,
    inference(avatar_split_clause,[],[f110,f631]) ).

fof(f110,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f629,plain,
    ~ spl20_52,
    inference(avatar_split_clause,[],[f109,f626]) ).

fof(f626,plain,
    ( spl20_52
  <=> op(e0,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).

fof(f109,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f624,plain,
    ~ spl20_51,
    inference(avatar_split_clause,[],[f108,f621]) ).

fof(f621,plain,
    ( spl20_51
  <=> op(e0,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).

fof(f108,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f619,plain,
    ( ~ spl20_50
    | ~ spl20_11
    | spl20_49 ),
    inference(avatar_split_clause,[],[f614,f610,f435,f616]) ).

fof(f610,plain,
    ( spl20_49
  <=> op(e0,e1) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).

fof(f614,plain,
    ( e1 != op(e0,e1)
    | ~ spl20_11
    | spl20_49 ),
    inference(forward_demodulation,[],[f612,f437]) ).

fof(f612,plain,
    ( op(e0,e1) != op(e1,e1)
    | spl20_49 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ~ spl20_49,
    inference(avatar_split_clause,[],[f107,f610]) ).

fof(f107,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f608,plain,
    ~ spl20_48,
    inference(avatar_split_clause,[],[f106,f605]) ).

fof(f605,plain,
    ( spl20_48
  <=> op(e2,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).

fof(f106,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f603,plain,
    ~ spl20_47,
    inference(avatar_split_clause,[],[f105,f600]) ).

fof(f105,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f598,plain,
    ~ spl20_46,
    inference(avatar_split_clause,[],[f104,f595]) ).

fof(f595,plain,
    ( spl20_46
  <=> op(e1,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).

fof(f104,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f593,plain,
    ~ spl20_45,
    inference(avatar_split_clause,[],[f103,f590]) ).

fof(f590,plain,
    ( spl20_45
  <=> op(e0,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).

fof(f103,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f588,plain,
    ~ spl20_44,
    inference(avatar_split_clause,[],[f102,f585]) ).

fof(f102,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f583,plain,
    ~ spl20_43,
    inference(avatar_split_clause,[],[f101,f580]) ).

fof(f580,plain,
    ( spl20_43
  <=> op(e0,e0) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).

fof(f101,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f578,plain,
    ( ~ spl20_42
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f328,f435,f575]) ).

fof(f328,plain,
    ( e1 != op(e1,e1)
    | ~ sP5 ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f573,plain,
    ( ~ spl20_40
    | spl20_41 ),
    inference(avatar_split_clause,[],[f292,f570,f566]) ).

fof(f292,plain,
    ( e0 = op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f564,plain,
    ( ~ spl20_38
    | spl20_39 ),
    inference(avatar_split_clause,[],[f287,f561,f557]) ).

fof(f287,plain,
    ( e0 = op(e0,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f555,plain,
    ( ~ spl20_36
    | spl20_37 ),
    inference(avatar_split_clause,[],[f282,f552,f548]) ).

fof(f282,plain,
    ( e0 = op(e0,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f546,plain,
    ( ~ spl20_34
    | spl20_35 ),
    inference(avatar_split_clause,[],[f277,f543,f539]) ).

fof(f277,plain,
    ( e0 = op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f537,plain,
    ( ~ spl20_32
    | spl20_33 ),
    inference(avatar_split_clause,[],[f272,f534,f530]) ).

fof(f272,plain,
    ( e1 = op(e1,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f528,plain,
    ( ~ spl20_30
    | spl20_31 ),
    inference(avatar_split_clause,[],[f262,f525,f521]) ).

fof(f262,plain,
    ( e1 = op(e1,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f519,plain,
    ( ~ spl20_28
    | spl20_29 ),
    inference(avatar_split_clause,[],[f257,f516,f512]) ).

fof(f257,plain,
    ( e1 = op(e1,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f510,plain,
    ( ~ spl20_26
    | spl20_27 ),
    inference(avatar_split_clause,[],[f252,f507,f503]) ).

fof(f252,plain,
    ( e2 = op(e2,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f501,plain,
    ( ~ spl20_24
    | spl20_25 ),
    inference(avatar_split_clause,[],[f247,f498,f494]) ).

fof(f247,plain,
    ( e2 = op(e2,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f492,plain,
    ( ~ spl20_22
    | spl20_23 ),
    inference(avatar_split_clause,[],[f242,f489,f485]) ).

fof(f242,plain,
    ( e2 = op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f483,plain,
    ( ~ spl20_20
    | spl20_21 ),
    inference(avatar_split_clause,[],[f237,f480,f476]) ).

fof(f237,plain,
    ( e2 = op(e2,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f474,plain,
    ( ~ spl20_18
    | spl20_19 ),
    inference(avatar_split_clause,[],[f232,f471,f467]) ).

fof(f232,plain,
    ( e3 = op(e3,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f465,plain,
    ( ~ spl20_16
    | spl20_17 ),
    inference(avatar_split_clause,[],[f227,f462,f458]) ).

fof(f227,plain,
    ( e3 = op(e3,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f456,plain,
    ( ~ spl20_14
    | spl20_15 ),
    inference(avatar_split_clause,[],[f222,f453,f449]) ).

fof(f222,plain,
    ( e3 = op(e3,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f447,plain,
    ( ~ spl20_12
    | spl20_13 ),
    inference(avatar_split_clause,[],[f217,f444,f440]) ).

fof(f217,plain,
    ( e3 = op(e3,e3)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f438,plain,
    ( ~ spl20_8
    | spl20_11 ),
    inference(avatar_split_clause,[],[f207,f435,f422]) ).

fof(f207,plain,
    ( e1 = op(e1,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f433,plain,
    ( spl20_7
    | spl20_8
    | spl20_9
    | spl20_10 ),
    inference(avatar_split_clause,[],[f298,f430,f426,f422,f418]) ).

fof(f298,plain,
    ( sP19
    | sP18
    | sP17
    | sP16 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f416,plain,
    ~ spl20_6,
    inference(avatar_split_clause,[],[f100,f413]) ).

fof(f100,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f411,plain,
    ~ spl20_5,
    inference(avatar_split_clause,[],[f99,f408]) ).

fof(f99,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f406,plain,
    ~ spl20_4,
    inference(avatar_split_clause,[],[f98,f403]) ).

fof(f98,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f401,plain,
    ~ spl20_3,
    inference(avatar_split_clause,[],[f97,f398]) ).

fof(f97,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f396,plain,
    ~ spl20_2,
    inference(avatar_split_clause,[],[f96,f393]) ).

fof(f96,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f391,plain,
    ~ spl20_1,
    inference(avatar_split_clause,[],[f95,f388]) ).

fof(f95,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ALG152+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 20:02:08 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (2567)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (2569)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (2572)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36  % (2570)WARNING: value z3 for option sas not known
% 0.12/0.36  % (2574)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36  % (2573)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36  % (2571)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (2570)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  % (2568)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.38  Detected minimum model sizes of [4]
% 0.12/0.38  Detected maximum model sizes of [max]
% 0.12/0.38  TRYING [4]
% 0.12/0.40  TRYING [5]
% 0.19/0.42  TRYING [6]
% 0.19/0.44  TRYING [7]
% 0.19/0.47  TRYING [8]
% 0.19/0.51  TRYING [9]
% 0.19/0.55  TRYING [10]
% 0.19/0.60  TRYING [11]
% 0.19/0.67  TRYING [12]
% 2.77/0.76  TRYING [13]
% 3.47/0.85  TRYING [14]
% 4.41/0.97  TRYING [15]
% 5.32/1.11  TRYING [16]
% 6.27/1.28  TRYING [17]
% 7.21/1.47  TRYING [18]
% 8.20/1.54  % (2572)First to succeed.
% 8.43/1.58  % (2572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2567"
% 8.43/1.58  % (2572)Refutation found. Thanks to Tanya!
% 8.43/1.58  % SZS status Unsatisfiable for theBenchmark
% 8.43/1.58  % SZS output start Proof for theBenchmark
% See solution above
% 8.43/1.61  % (2572)------------------------------
% 8.43/1.61  % (2572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.43/1.61  % (2572)Termination reason: Refutation
% 8.43/1.61  
% 8.43/1.61  % (2572)Memory used [KB]: 5421
% 8.43/1.61  % (2572)Time elapsed: 1.215 s
% 8.43/1.61  % (2572)Instructions burned: 2950 (million)
% 8.43/1.61  % (2567)Success in time 1.255 s
%------------------------------------------------------------------------------