%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Tue Apr 30 14:37:55 EDT 2024

% Result   : Theorem 91.75s 13.42s
% Output   : Refutation 91.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      : 1150
% Syntax   : Number of formulae    : 4056 ( 108 unt;   0 def)
%            Number of atoms       : 12841 (1416 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 16297 (7512   ~;7590   |;  39   &)
%                                         (1103 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  : 1101 (1099 usr;1096 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   : 6075 (6053   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104672,plain,
    $false,
    inference(avatar_sat_refutation,[],[f267,f271,f275,f279,f283,f287,f291,f295,f299,f303,f307,f311,f320,f325,f330,f334,f338,f342,f346,f350,f354,f358,f371,f379,f383,f387,f411,f415,f420,f430,f434,f438,f442,f446,f450,f454,f458,f463,f485,f489,f494,f501,f505,f509,f513,f517,f521,f525,f529,f538,f542,f546,f677,f681,f685,f689,f698,f887,f891,f895,f899,f903,f907,f1063,f1130,f1134,f1136,f1157,f1184,f1188,f1192,f1196,f1200,f1280,f1289,f1293,f1302,f1327,f1332,f1366,f1371,f1391,f1395,f1399,f1403,f1407,f1411,f1416,f1420,f1424,f1428,f1433,f1514,f1651,f1665,f1669,f1673,f1677,f1681,f1685,f1689,f1693,f1697,f1701,f1706,f1710,f1714,f1718,f1722,f1726,f1900,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1984,f1988,f1993,f2353,f2726,f2730,f2734,f2738,f2742,f2746,f2750,f2754,f2758,f2762,f2766,f2775,f2779,f2783,f2787,f2791,f2795,f2799,f2803,f2807,f2811,f2816,f2820,f2824,f2828,f2832,f2836,f2840,f2844,f2933,f3272,f3802,f3806,f3810,f3814,f3818,f3819,f3825,f3843,f3851,f3855,f3859,f3863,f3867,f3871,f3875,f3884,f3888,f3892,f3896,f3900,f3904,f3908,f5756,f6056,f6060,f6064,f6068,f6074,f6078,f6082,f6086,f6090,f6094,f6098,f6102,f6146,f6448,f6452,f6456,f6460,f6464,f6468,f6472,f6476,f6480,f6484,f6492,f6496,f6500,f6504,f6508,f6512,f6516,f6520,f6524,f6528,f6533,f6537,f6541,f6545,f6549,f6553,f6557,f6561,f6666,f8387,f8391,f8395,f8399,f8403,f8407,f8413,f8417,f8421,f8425,f8429,f8433,f8437,f8441,f8445,f8449,f8453,f8457,f8461,f8465,f8469,f8473,f8477,f8481,f8485,f8489,f8494,f8498,f8502,f8506,f8510,f8514,f8518,f8522,f8526,f8530,f8534,f8539,f8543,f8547,f8551,f8555,f8559,f8563,f8567,f8571,f8575,f8579,f8588,f8592,f8596,f8600,f8604,f8608,f8612,f8616,f8620,f8624,f8631,f8635,f8639,f8971,f10567,f12558,f13459,f13463,f13467,f13471,f13475,f13479,f13483,f13487,f13497,f13501,f13505,f13509,f13513,f13517,f13521,f13525,f13529,f13533,f13538,f17703,f18029,f18033,f18039,f18043,f18047,f18051,f18055,f18059,f18063,f18067,f19179,f19183,f19190,f19194,f19198,f19202,f19206,f19210,f19214,f19218,f19222,f19226,f19231,f19235,f19239,f19243,f19247,f19251,f19255,f19259,f19263,f19267,f19271,f19280,f19284,f19288,f19292,f19296,f19300,f19304,f19308,f19312,f19316,f19320,f19324,f19328,f19332,f19336,f19340,f19344,f19348,f19352,f19356,f19360,f19364,f19372,f19376,f19380,f19384,f22504,f23596,f24679,f24686,f24690,f24694,f24698,f25327,f25331,f25332,f25339,f25343,f25347,f25351,f25355,f25359,f25363,f25367,f25371,f26754,f26758,f26762,f26766,f26770,f26774,f26778,f26782,f26786,f26790,f26795,f26801,f26805,f26809,f26813,f26817,f26821,f26825,f26829,f26833,f26837,f26842,f26846,f27237,f27706,f27894,f27898,f27902,f27906,f27910,f27914,f27918,f27922,f27927,f27931,f27935,f31884,f33642,f33646,f33650,f33654,f33658,f33662,f33666,f33670,f33674,f33678,f33682,f33686,f33690,f33694,f33698,f33702,f33864,f33868,f36147,f36160,f36175,f36182,f36197,f36204,f36216,f36225,f36232,f36238,f36239,f36240,f36241,f36242,f36251,f36258,f36266,f36278,f36286,f36292,f36297,f36302,f36306,f36497,f36502,f36507,f36512,f36517,f36522,f36527,f36532,f36566,f36568,f36583,f36588,f36593,f36598,f36603,f36608,f36614,f36648,f36653,f36657,f36662,f36668,f36696,f36701,f36706,f36711,f36716,f36722,f36726,f36759,f36764,f36769,f36775,f36806,f36811,f36817,f36863,f36868,f36873,f36879,f36909,f36915,f36963,f36968,f36974,f36978,f36984,f37036,f37040,f37088,f37097,f37307,f37394,f37701,f37706,f37711,f37716,f37785,f37790,f37998,f38004,f38009,f38015,f38448,f38916,f39151,f39155,f39159,f39160,f39173,f39177,f39181,f39185,f39189,f39361,f39367,f39373,f39379,f39384,f39389,f39395,f39401,f39411,f39419,f39976,f39992,f40031,f40045,f40049,f40053,f40152,f40156,f40232,f40237,f40828,f40840,f40841,f40848,f40862,f40873,f40880,f40884,f40890,f40896,f40901,f40906,f40911,f40916,f40922,f40928,f40936,f40940,f40946,f40952,f40957,f40962,f40967,f40972,f40977,f40983,f40989,f40995,f40999,f41004,f41009,f41014,f41019,f41024,f41029,f41034,f41039,f41044,f41046,f41050,f41055,f41060,f41065,f41070,f41075,f41080,f41086,f41095,f41124,f41133,f41146,f41192,f41286,f41291,f41292,f41298,f41302,f41306,f41310,f41316,f41323,f41330,f41337,f41344,f41350,f41357,f41364,f41371,f41378,f41383,f41388,f41393,f41398,f41402,f41457,f41575,f41579,f41583,f41587,f41591,f41596,f41602,f41606,f41616,f41627,f41653,f41698,f41703,f41707,f42014,f42195,f42203,f42210,f42216,f42338,f42356,f42361,f42438,f42443,f42454,f42459,f42461,f42479,f42485,f42507,f42511,f42515,f42519,f42524,f42894,f42904,f42918,f42922,f42926,f42930,f42934,f42938,f42942,f42946,f42950,f42954,f42970,f42974,f42978,f42982,f42986,f42990,f42994,f42998,f43002,f43006,f43010,f43011,f43020,f43029,f43033,f43037,f43041,f43045,f43049,f43054,f43058,f43062,f43066,f43070,f43074,f43078,f43082,f43086,f43090,f43094,f44934,f45493,f45778,f45783,f45861,f45874,f45876,f45881,f45882,f45904,f45916,f46138,f46203,f46273,f46275,f46466,f46512,f46548,f46555,f46560,f46571,f46577,f46885,f46958,f46962,f49876,f50073,f50506,f53382,f53734,f56863,f56876,f57897,f58430,f58434,f58525,f58529,f58530,f58534,f60330,f60334,f61368,f61372,f61376,f62509,f62513,f62517,f62521,f62525,f62538,f62542,f62546,f62550,f62554,f62558,f62562,f62566,f62570,f62574,f62583,f62587,f62591,f62595,f62599,f62603,f62607,f62611,f62615,f62619,f62623,f62627,f62631,f62635,f62639,f62643,f62647,f62651,f62655,f62659,f62672,f62676,f62680,f62684,f62688,f62692,f63124,f63892,f64379,f65052,f65465,f65469,f65473,f65478,f65482,f65486,f65490,f65494,f65498,f65502,f65506,f65510,f65514,f65518,f65523,f65527,f65531,f65535,f65539,f65543,f65547,f65551,f65555,f65559,f65563,f65564,f65574,f65578,f65582,f65586,f65590,f65594,f65598,f65602,f65606,f65613,f65617,f65621,f65625,f65629,f65633,f65637,f65641,f65645,f65649,f65650,f65662,f65666,f65670,f65674,f65678,f65682,f65686,f65690,f65694,f65699,f65703,f65707,f65711,f65715,f65719,f65723,f65727,f65731,f65735,f65739,f65740,f65800,f65804,f65808,f65812,f65816,f65820,f65824,f65828,f65838,f65842,f65846,f65850,f65854,f65858,f65862,f65866,f65870,f65874,f65875,f65879,f65883,f65887,f65891,f65895,f65899,f65903,f65907,f65911,f65915,f65927,f65931,f65935,f65939,f65943,f65947,f65951,f65955,f65959,f69052,f70699,f70713,f70717,f71192,f78538,f82458,f82462,f82466,f82470,f82474,f82478,f82482,f82486,f82490,f82503,f82507,f82511,f82515,f82519,f82523,f82527,f82531,f82535,f82539,f82548,f82552,f82556,f82560,f82564,f82568,f82572,f82576,f82580,f82584,f82598,f82602,f82606,f82610,f82614,f82618,f82622,f82626,f82630,f82634,f82635,f82639,f82643,f82647,f82651,f82655,f82659,f82663,f82667,f82671,f82675,f82689,f82693,f82697,f82701,f82705,f82709,f82713,f82717,f82721,f82725,f82823,f82827,f82831,f82835,f82839,f82843,f82847,f82851,f82855,f82859,f82875,f82879,f82883,f82887,f82891,f82895,f82899,f82903,f82907,f82911,f82922,f82926,f82930,f82934,f82938,f82942,f82946,f82950,f82954,f82958,f82962,f82967,f82971,f82975,f82979,f82983,f82987,f82991,f82995,f82999,f83003,f83004,f83008,f83012,f83016,f83020,f83024,f83028,f83032,f83036,f83040,f83044,f83045,f83049,f83053,f83057,f83061,f83065,f83069,f83073,f83077,f83081,f83085,f83096,f83100,f83104,f83108,f83112,f83116,f83120,f83124,f83128,f83132,f83133,f83151,f83155,f83159,f83163,f83168,f83586,f84004,f84010,f84011,f84829,f84833,f84837,f84841,f84845,f84849,f84854,f86866,f87535,f93492,f97810,f99458,f100243,f101135,f101139,f101143,f101147,f101151,f101155,f101159,f101163,f101167,f101168,f101179,f101183,f101187,f101191,f101195,f101199,f101203,f101207,f101211,f101224,f101228,f101232,f101236,f101240,f101244,f101248,f101252,f101256,f101260,f101261,f101265,f101269,f101273,f101277,f101281,f101285,f101289,f101293,f101297,f101301,f101309,f101313,f101317,f101321,f101325,f101329,f101333,f101337,f101341,f101345,f101356,f101360,f101364,f101368,f101372,f101376,f101380,f101384,f101388,f101392,f101406,f101440,f101444,f101448,f101452,f101456,f101460,f101464,f101468,f101472,f101477,f101481,f101485,f101490,f102903,f102908,f102913,f102918,f102923,f102928,f102942,f102943,f103000,f103004,f103118,f103122,f103126,f103130,f103134,f103139,f103143,f103147,f103598,f103612,f104149,f104671]) ).

fof(f104671,plain,
    ( spl4_171
    | spl4_15
    | ~ spl4_16
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f1137,f436,f327,f322,f3822]) ).

fof(f3822,plain,
    ( spl4_171
  <=> vd517 = vd518 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_171])]) ).

fof(f322,plain,
    ( spl4_15
  <=> greater(vd517,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f327,plain,
    ( spl4_16
  <=> geq(vd517,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f436,plain,
    ( spl4_33
  <=> ! [X0,X1] :
        ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f1137,plain,
    ( greater(vd517,vd518)
    | vd517 = vd518
    | ~ spl4_16
    | ~ spl4_33 ),
    inference(resolution,[],[f329,f437]) ).

fof(f437,plain,
    ( ! [X0,X1] :
        ( ~ geq(X1,X0)
        | greater(X1,X0)
        | X0 = X1 )
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f329,plain,
    ( geq(vd517,vd518)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f104149,plain,
    ( spl4_1095
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_262
    | ~ spl4_1077 ),
    inference(avatar_split_clause,[],[f103720,f101488,f8516,f301,f289,f104147]) ).

fof(f104147,plain,
    ( spl4_1095
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(vd518,X1)))
        | ~ less(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1095])]) ).

fof(f289,plain,
    ( spl4_7
  <=> ! [X0] : vmul(v1,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f301,plain,
    ( spl4_10
  <=> ! [X0] : vmul(X0,v1) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f8516,plain,
    ( spl4_262
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ less(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_262])]) ).

fof(f101488,plain,
    ( spl4_1077
  <=> ! [X0,X1] : vplus(X0,vmul(X0,X1)) = vmul(vplus(vd518,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1077])]) ).

fof(f103720,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(vd518,X1)))
        | ~ less(X2,v1) )
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_262
    | ~ spl4_1077 ),
    inference(forward_demodulation,[],[f8517,f102165]) ).

fof(f102165,plain,
    ( ! [X0] : vplus(v1,X0) = vplus(vd518,X0)
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_1077 ),
    inference(forward_demodulation,[],[f101510,f302]) ).

fof(f302,plain,
    ( ! [X0] : vmul(X0,v1) = X0
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f101510,plain,
    ( ! [X0] : vplus(v1,X0) = vmul(vplus(vd518,X0),v1)
    | ~ spl4_7
    | ~ spl4_1077 ),
    inference(superposition,[],[f101489,f290]) ).

fof(f290,plain,
    ( ! [X0] : vmul(v1,X0) = X0
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f101489,plain,
    ( ! [X0,X1] : vplus(X0,vmul(X0,X1)) = vmul(vplus(vd518,X1),X0)
    | ~ spl4_1077 ),
    inference(avatar_component_clause,[],[f101488]) ).

fof(f8517,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ less(X2,v1) )
    | ~ spl4_262 ),
    inference(avatar_component_clause,[],[f8516]) ).

fof(f103612,plain,
    ( ~ spl4_3
    | ~ spl4_1091 ),
    inference(avatar_contradiction_clause,[],[f103599]) ).

fof(f103599,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_1091 ),
    inference(resolution,[],[f103138,f274]) ).

fof(f274,plain,
    ( ! [X1] : ~ less(X1,X1)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl4_3
  <=> ! [X1] : ~ less(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f103138,plain,
    ( less(vd518,vd518)
    | ~ spl4_1091 ),
    inference(avatar_component_clause,[],[f103136]) ).

fof(f103136,plain,
    ( spl4_1091
  <=> less(vd518,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1091])]) ).

fof(f103598,plain,
    ( spl4_1094
    | ~ spl4_7
    | ~ spl4_55
    | ~ spl4_67
    | ~ spl4_325
    | ~ spl4_451 ),
    inference(avatar_split_clause,[],[f37072,f36213,f19192,f1150,f679,f289,f103596]) ).

fof(f103596,plain,
    ( spl4_1094
  <=> ! [X0,X1] : vplus(vd520,vplus(X0,X1)) = vplus(vmul(vd517,vd519),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1094])]) ).

fof(f679,plain,
    ( spl4_55
  <=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).

fof(f1150,plain,
    ( spl4_67
  <=> vmul(vd517,vd519) = vmul(vd518,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f19192,plain,
    ( spl4_325
  <=> ! [X0,X3,X2,X1] : vplus(vmul(X0,vplus(X1,X2)),X3) = vplus(vmul(X0,X1),vplus(vmul(X0,X2),X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_325])]) ).

fof(f36213,plain,
    ( spl4_451
  <=> vd518 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_451])]) ).

fof(f37072,plain,
    ( ! [X0,X1] : vplus(vd520,vplus(X0,X1)) = vplus(vmul(vd517,vd519),vplus(X0,X1))
    | ~ spl4_7
    | ~ spl4_55
    | ~ spl4_67
    | ~ spl4_325
    | ~ spl4_451 ),
    inference(forward_demodulation,[],[f37071,f680]) ).

fof(f680,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))
    | ~ spl4_55 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f37071,plain,
    ( ! [X0,X1] : vplus(vplus(vd520,X0),X1) = vplus(vmul(vd517,vd519),vplus(X0,X1))
    | ~ spl4_7
    | ~ spl4_67
    | ~ spl4_325
    | ~ spl4_451 ),
    inference(forward_demodulation,[],[f37070,f36387]) ).

fof(f36387,plain,
    ( ! [X0] : vmul(vd518,X0) = X0
    | ~ spl4_7
    | ~ spl4_451 ),
    inference(superposition,[],[f290,f36215]) ).

fof(f36215,plain,
    ( vd518 = v1
    | ~ spl4_451 ),
    inference(avatar_component_clause,[],[f36213]) ).

fof(f37070,plain,
    ( ! [X0,X1] : vplus(vmul(vd518,vplus(vd520,X0)),X1) = vplus(vmul(vd517,vd519),vplus(X0,X1))
    | ~ spl4_7
    | ~ spl4_67
    | ~ spl4_325
    | ~ spl4_451 ),
    inference(forward_demodulation,[],[f19908,f36387]) ).

fof(f19908,plain,
    ( ! [X0,X1] : vplus(vmul(vd518,vplus(vd520,X0)),X1) = vplus(vmul(vd517,vd519),vplus(vmul(vd518,X0),X1))
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(superposition,[],[f19193,f1152]) ).

fof(f1152,plain,
    ( vmul(vd517,vd519) = vmul(vd518,vd520)
    | ~ spl4_67 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f19193,plain,
    ( ! [X2,X3,X0,X1] : vplus(vmul(X0,vplus(X1,X2)),X3) = vplus(vmul(X0,X1),vplus(vmul(X0,X2),X3))
    | ~ spl4_325 ),
    inference(avatar_component_clause,[],[f19192]) ).

fof(f103147,plain,
    ( spl4_1093
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_484 ),
    inference(avatar_split_clause,[],[f37044,f36660,f36213,f301,f103145]) ).

fof(f103145,plain,
    ( spl4_1093
  <=> ! [X0] :
        ( less(X0,vmul(vd517,vd519))
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1093])]) ).

fof(f36660,plain,
    ( spl4_484
  <=> ! [X0] :
        ( less(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_484])]) ).

fof(f37044,plain,
    ( ! [X0] :
        ( less(X0,vmul(vd517,vd519))
        | ~ less(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_484 ),
    inference(forward_demodulation,[],[f36661,f36388]) ).

fof(f36388,plain,
    ( ! [X0] : vmul(X0,vd518) = X0
    | ~ spl4_10
    | ~ spl4_451 ),
    inference(superposition,[],[f302,f36215]) ).

fof(f36661,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ less(X0,vd520) )
    | ~ spl4_484 ),
    inference(avatar_component_clause,[],[f36660]) ).

fof(f103143,plain,
    ( spl4_1092
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_495 ),
    inference(avatar_split_clause,[],[f37043,f36767,f36213,f301,f103141]) ).

fof(f103141,plain,
    ( spl4_1092
  <=> ! [X0] :
        ( greater(X0,vmul(vd517,vd519))
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1092])]) ).

fof(f36767,plain,
    ( spl4_495
  <=> ! [X0] :
        ( greater(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_495])]) ).

fof(f37043,plain,
    ( ! [X0] :
        ( greater(X0,vmul(vd517,vd519))
        | ~ greater(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_495 ),
    inference(forward_demodulation,[],[f36768,f36388]) ).

fof(f36768,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ greater(X0,vd520) )
    | ~ spl4_495 ),
    inference(avatar_component_clause,[],[f36767]) ).

fof(f103139,plain,
    ( spl4_1091
    | ~ spl4_75
    | ~ spl4_165
    | ~ spl4_637
    | ~ spl4_949 ),
    inference(avatar_split_clause,[],[f102952,f82960,f42354,f3269,f1287,f103136]) ).

fof(f1287,plain,
    ( spl4_75
  <=> ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f3269,plain,
    ( spl4_165
  <=> less(vd517,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_165])]) ).

fof(f42354,plain,
    ( spl4_637
  <=> ! [X0,X1] :
        ( less(v1,X0)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_637])]) ).

fof(f82960,plain,
    ( spl4_949
  <=> ! [X0] : ~ greater(vd518,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_949])]) ).

fof(f102952,plain,
    ( less(vd518,vd518)
    | ~ spl4_75
    | ~ spl4_165
    | ~ spl4_637
    | ~ spl4_949 ),
    inference(forward_demodulation,[],[f70617,f101404]) ).

fof(f101404,plain,
    ( vd518 = v1
    | ~ spl4_75
    | ~ spl4_949 ),
    inference(resolution,[],[f82961,f1288]) ).

fof(f1288,plain,
    ( ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 )
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f82961,plain,
    ( ! [X0] : ~ greater(vd518,X0)
    | ~ spl4_949 ),
    inference(avatar_component_clause,[],[f82960]) ).

fof(f70617,plain,
    ( less(v1,vd518)
    | ~ spl4_165
    | ~ spl4_637 ),
    inference(resolution,[],[f42355,f3270]) ).

fof(f3270,plain,
    ( less(vd517,vd518)
    | ~ spl4_165 ),
    inference(avatar_component_clause,[],[f3269]) ).

fof(f42355,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | less(v1,X0) )
    | ~ spl4_637 ),
    inference(avatar_component_clause,[],[f42354]) ).

fof(f103134,plain,
    ( spl4_1090
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_502 ),
    inference(avatar_split_clause,[],[f37042,f36871,f36213,f301,f103132]) ).

fof(f103132,plain,
    ( spl4_1090
  <=> ! [X0] :
        ( ~ less(X0,vmul(vd517,vd519))
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1090])]) ).

fof(f36871,plain,
    ( spl4_502
  <=> ! [X0] :
        ( ~ less(vmul(X0,vd518),vmul(vd517,vd519))
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_502])]) ).

fof(f37042,plain,
    ( ! [X0] :
        ( ~ less(X0,vmul(vd517,vd519))
        | less(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_502 ),
    inference(forward_demodulation,[],[f36872,f36388]) ).

fof(f36872,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,vd518),vmul(vd517,vd519))
        | less(X0,vd520) )
    | ~ spl4_502 ),
    inference(avatar_component_clause,[],[f36871]) ).

fof(f103130,plain,
    ( spl4_1089
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_509 ),
    inference(avatar_split_clause,[],[f37041,f36976,f36213,f301,f103128]) ).

fof(f103128,plain,
    ( spl4_1089
  <=> ! [X0] :
        ( ~ greater(X0,vmul(vd517,vd519))
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1089])]) ).

fof(f36976,plain,
    ( spl4_509
  <=> ! [X0] :
        ( ~ greater(vmul(X0,vd518),vmul(vd517,vd519))
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_509])]) ).

fof(f37041,plain,
    ( ! [X0] :
        ( ~ greater(X0,vmul(vd517,vd519))
        | greater(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_509 ),
    inference(forward_demodulation,[],[f36977,f36388]) ).

fof(f36977,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd518),vmul(vd517,vd519))
        | greater(X0,vd520) )
    | ~ spl4_509 ),
    inference(avatar_component_clause,[],[f36976]) ).

fof(f103126,plain,
    ( spl4_1088
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_504 ),
    inference(avatar_split_clause,[],[f36910,f36907,f36213,f301,f103124]) ).

fof(f103124,plain,
    ( spl4_1088
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),X0)
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1088])]) ).

fof(f36907,plain,
    ( spl4_504
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd518))
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_504])]) ).

fof(f36910,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),X0)
        | greater(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_504 ),
    inference(forward_demodulation,[],[f36908,f36388]) ).

fof(f36908,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd518))
        | greater(vd520,X0) )
    | ~ spl4_504 ),
    inference(avatar_component_clause,[],[f36907]) ).

fof(f103122,plain,
    ( spl4_1087
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_498 ),
    inference(avatar_split_clause,[],[f36812,f36809,f36213,f301,f103120]) ).

fof(f103120,plain,
    ( spl4_1087
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd519),X0)
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1087])]) ).

fof(f36809,plain,
    ( spl4_498
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd518))
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_498])]) ).

fof(f36812,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),X0)
        | less(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_498 ),
    inference(forward_demodulation,[],[f36810,f36388]) ).

fof(f36810,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd518))
        | less(vd520,X0) )
    | ~ spl4_498 ),
    inference(avatar_component_clause,[],[f36809]) ).

fof(f103118,plain,
    ( spl4_1086
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_479 ),
    inference(avatar_split_clause,[],[f36609,f36606,f36213,f301,f103116]) ).

fof(f103116,plain,
    ( spl4_1086
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),X0)
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1086])]) ).

fof(f36606,plain,
    ( spl4_479
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_479])]) ).

fof(f36609,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),X0)
        | ~ less(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_479 ),
    inference(forward_demodulation,[],[f36607,f36388]) ).

fof(f36607,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ less(vd520,X0) )
    | ~ spl4_479 ),
    inference(avatar_component_clause,[],[f36606]) ).

fof(f103004,plain,
    ( spl4_1085
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_461 ),
    inference(avatar_split_clause,[],[f37049,f36290,f36213,f289,f103002]) ).

fof(f103002,plain,
    ( spl4_1085
  <=> ! [X0] : greater(vplus(vd520,X0),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1085])]) ).

fof(f36290,plain,
    ( spl4_461
  <=> ! [X0] : greater(vmul(vd518,vplus(vd520,X0)),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_461])]) ).

fof(f37049,plain,
    ( ! [X0] : greater(vplus(vd520,X0),vmul(vd517,vd519))
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_461 ),
    inference(forward_demodulation,[],[f36291,f36387]) ).

fof(f36291,plain,
    ( ! [X0] : greater(vmul(vd518,vplus(vd520,X0)),vmul(vd517,vd519))
    | ~ spl4_461 ),
    inference(avatar_component_clause,[],[f36290]) ).

fof(f103000,plain,
    ( spl4_1084
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_462 ),
    inference(avatar_split_clause,[],[f37048,f36295,f36213,f289,f102998]) ).

fof(f102998,plain,
    ( spl4_1084
  <=> ! [X0] : less(vmul(vd517,vd519),vplus(vd520,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1084])]) ).

fof(f36295,plain,
    ( spl4_462
  <=> ! [X0] : less(vmul(vd517,vd519),vmul(vd518,vplus(vd520,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_462])]) ).

fof(f37048,plain,
    ( ! [X0] : less(vmul(vd517,vd519),vplus(vd520,X0))
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_462 ),
    inference(forward_demodulation,[],[f36296,f36387]) ).

fof(f36296,plain,
    ( ! [X0] : less(vmul(vd517,vd519),vmul(vd518,vplus(vd520,X0)))
    | ~ spl4_462 ),
    inference(avatar_component_clause,[],[f36295]) ).

fof(f102943,plain,
    ( ~ spl4_949
    | ~ spl4_1074 ),
    inference(avatar_contradiction_clause,[],[f102930]) ).

fof(f102930,plain,
    ( $false
    | ~ spl4_949
    | ~ spl4_1074 ),
    inference(resolution,[],[f101476,f82961]) ).

fof(f101476,plain,
    ( greater(vd518,vd518)
    | ~ spl4_1074 ),
    inference(avatar_component_clause,[],[f101474]) ).

fof(f101474,plain,
    ( spl4_1074
  <=> greater(vd518,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1074])]) ).

fof(f102942,plain,
    ( ~ spl4_4
    | ~ spl4_1074 ),
    inference(avatar_contradiction_clause,[],[f102931]) ).

fof(f102931,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_1074 ),
    inference(resolution,[],[f101476,f278]) ).

fof(f278,plain,
    ( ! [X1] : ~ greater(X1,X1)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl4_4
  <=> ! [X1] : ~ greater(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f102928,plain,
    ( spl4_1083
    | ~ spl4_130
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5179,f3861,f1982,f102926]) ).

fof(f102926,plain,
    ( spl4_1083
  <=> ! [X2,X0,X1] : greater(vmul(X2,vmul(vplus(v1,X1),X0)),vmul(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1083])]) ).

fof(f1982,plain,
    ( spl4_130
  <=> ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_130])]) ).

fof(f3861,plain,
    ( spl4_175
  <=> ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(X1,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_175])]) ).

fof(f5179,plain,
    ( ! [X2,X0,X1] : greater(vmul(X2,vmul(vplus(v1,X1),X0)),vmul(X2,X0))
    | ~ spl4_130
    | ~ spl4_175 ),
    inference(superposition,[],[f1983,f3862]) ).

fof(f3862,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(X1,vmul(X0,X1))
    | ~ spl4_175 ),
    inference(avatar_component_clause,[],[f3861]) ).

fof(f1983,plain,
    ( ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1))
    | ~ spl4_130 ),
    inference(avatar_component_clause,[],[f1982]) ).

fof(f102923,plain,
    ( spl4_1082
    | ~ spl4_117
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5177,f3861,f1929,f102921]) ).

fof(f102921,plain,
    ( spl4_1082
  <=> ! [X2,X0,X1] : less(vplus(X2,X0),vplus(X2,vmul(vplus(v1,X1),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1082])]) ).

fof(f1929,plain,
    ( spl4_117
  <=> ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).

fof(f5177,plain,
    ( ! [X2,X0,X1] : less(vplus(X2,X0),vplus(X2,vmul(vplus(v1,X1),X0)))
    | ~ spl4_117
    | ~ spl4_175 ),
    inference(superposition,[],[f1930,f3862]) ).

fof(f1930,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_117 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f102918,plain,
    ( spl4_1081
    | ~ spl4_116
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5175,f3861,f1925,f102916]) ).

fof(f102916,plain,
    ( spl4_1081
  <=> ! [X2,X0,X1] : vplus(X2,X0) != vplus(X2,vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1081])]) ).

fof(f1925,plain,
    ( spl4_116
  <=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_116])]) ).

fof(f5175,plain,
    ( ! [X2,X0,X1] : vplus(X2,X0) != vplus(X2,vmul(vplus(v1,X1),X0))
    | ~ spl4_116
    | ~ spl4_175 ),
    inference(superposition,[],[f1926,f3862]) ).

fof(f1926,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
    | ~ spl4_116 ),
    inference(avatar_component_clause,[],[f1925]) ).

fof(f102913,plain,
    ( spl4_1080
    | ~ spl4_115
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5174,f3861,f1921,f102911]) ).

fof(f102911,plain,
    ( spl4_1080
  <=> ! [X2,X0,X1] : greater(vplus(X2,vmul(vplus(v1,X1),X0)),vplus(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1080])]) ).

fof(f1921,plain,
    ( spl4_115
  <=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_115])]) ).

fof(f5174,plain,
    ( ! [X2,X0,X1] : greater(vplus(X2,vmul(vplus(v1,X1),X0)),vplus(X2,X0))
    | ~ spl4_115
    | ~ spl4_175 ),
    inference(superposition,[],[f1922,f3862]) ).

fof(f1922,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
    | ~ spl4_115 ),
    inference(avatar_component_clause,[],[f1921]) ).

fof(f102908,plain,
    ( spl4_1079
    | ~ spl4_83
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5045,f3857,f1389,f102906]) ).

fof(f102906,plain,
    ( spl4_1079
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vplus(X2,vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1079])]) ).

fof(f1389,plain,
    ( spl4_83
  <=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f3857,plain,
    ( spl4_174
  <=> ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(vmul(X1,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_174])]) ).

fof(f5045,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vplus(X2,vmul(vplus(v1,X1),X0))
    | ~ spl4_83
    | ~ spl4_174 ),
    inference(superposition,[],[f1390,f3858]) ).

fof(f3858,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(vmul(X1,X0),X1)
    | ~ spl4_174 ),
    inference(avatar_component_clause,[],[f3857]) ).

fof(f1390,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
    | ~ spl4_83 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f102903,plain,
    ( spl4_1078
    | ~ spl4_27
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5017,f3857,f385,f102901]) ).

fof(f102901,plain,
    ( spl4_1078
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(vplus(v1,X1),X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1078])]) ).

fof(f385,plain,
    ( spl4_27
  <=> ! [X2,X0,X3] : vplus(vplus(X0,X2),X3) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f5017,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(vplus(v1,X1),X0),X2)
    | ~ spl4_27
    | ~ spl4_174 ),
    inference(superposition,[],[f386,f3858]) ).

fof(f386,plain,
    ( ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f101490,plain,
    ( spl4_1077
    | ~ spl4_75
    | ~ spl4_949
    | ~ spl4_1076 ),
    inference(avatar_split_clause,[],[f101486,f101483,f82960,f1287,f101488]) ).

fof(f101483,plain,
    ( spl4_1076
  <=> ! [X0,X1] : vmul(vplus(v1,X1),X0) = vplus(X0,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1076])]) ).

fof(f101486,plain,
    ( ! [X0,X1] : vplus(X0,vmul(X0,X1)) = vmul(vplus(vd518,X1),X0)
    | ~ spl4_75
    | ~ spl4_949
    | ~ spl4_1076 ),
    inference(forward_demodulation,[],[f101484,f101404]) ).

fof(f101484,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X1),X0) = vplus(X0,vmul(X0,X1))
    | ~ spl4_1076 ),
    inference(avatar_component_clause,[],[f101483]) ).

fof(f101485,plain,
    ( spl4_1076
    | ~ spl4_26
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5006,f3857,f381,f101483]) ).

fof(f381,plain,
    ( spl4_26
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f5006,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X1),X0) = vplus(X0,vmul(X0,X1))
    | ~ spl4_26
    | ~ spl4_174 ),
    inference(superposition,[],[f3858,f382]) ).

fof(f382,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f101481,plain,
    ( spl4_1075
    | ~ spl4_170
    | ~ spl4_173 ),
    inference(avatar_split_clause,[],[f4973,f3853,f3816,f101479]) ).

fof(f101479,plain,
    ( spl4_1075
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(vplus(X1,X2),vplus(X0,X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1075])]) ).

fof(f3816,plain,
    ( spl4_170
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_170])]) ).

fof(f3853,plain,
    ( spl4_173
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_173])]) ).

fof(f4973,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X1,X2),vplus(X0,X3))
    | ~ spl4_170
    | ~ spl4_173 ),
    inference(superposition,[],[f3854,f3817]) ).

fof(f3817,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
    | ~ spl4_170 ),
    inference(avatar_component_clause,[],[f3816]) ).

fof(f3854,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3)
    | ~ spl4_173 ),
    inference(avatar_component_clause,[],[f3853]) ).

fof(f101477,plain,
    ( spl4_1074
    | ~ spl4_20
    | ~ spl4_75
    | ~ spl4_442
    | ~ spl4_949 ),
    inference(avatar_split_clause,[],[f101415,f82960,f36140,f1287,f344,f101474]) ).

fof(f344,plain,
    ( spl4_20
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f36140,plain,
    ( spl4_442
  <=> less(v1,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_442])]) ).

fof(f101415,plain,
    ( greater(vd518,vd518)
    | ~ spl4_20
    | ~ spl4_75
    | ~ spl4_442
    | ~ spl4_949 ),
    inference(forward_demodulation,[],[f71194,f101404]) ).

fof(f71194,plain,
    ( greater(vd518,v1)
    | ~ spl4_20
    | ~ spl4_442 ),
    inference(resolution,[],[f36141,f345]) ).

fof(f345,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | greater(X1,X0) )
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f36141,plain,
    ( less(v1,vd518)
    | ~ spl4_442 ),
    inference(avatar_component_clause,[],[f36140]) ).

fof(f101472,plain,
    ( spl4_1073
    | ~ spl4_26
    | ~ spl4_173 ),
    inference(avatar_split_clause,[],[f4948,f3853,f381,f101470]) ).

fof(f101470,plain,
    ( spl4_1073
  <=> ! [X0,X3,X2,X1] : vplus(X2,X0) != vplus(vplus(X2,vplus(X1,X0)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1073])]) ).

fof(f4948,plain,
    ( ! [X2,X3,X0,X1] : vplus(X2,X0) != vplus(vplus(X2,vplus(X1,X0)),X3)
    | ~ spl4_26
    | ~ spl4_173 ),
    inference(superposition,[],[f3854,f382]) ).

fof(f101468,plain,
    ( spl4_1072
    | ~ spl4_132
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4840,f3849,f1991,f101466]) ).

fof(f101466,plain,
    ( spl4_1072
  <=> ! [X0,X3,X2,X1] : less(vmul(X3,X0),vmul(X3,vplus(X1,vplus(X2,X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1072])]) ).

fof(f1991,plain,
    ( spl4_132
  <=> ! [X2,X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_132])]) ).

fof(f3849,plain,
    ( spl4_172
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_172])]) ).

fof(f4840,plain,
    ( ! [X2,X3,X0,X1] : less(vmul(X3,X0),vmul(X3,vplus(X1,vplus(X2,X0))))
    | ~ spl4_132
    | ~ spl4_172 ),
    inference(superposition,[],[f1992,f3850]) ).

fof(f3850,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
    | ~ spl4_172 ),
    inference(avatar_component_clause,[],[f3849]) ).

fof(f1992,plain,
    ( ! [X2,X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(X1,X2)))
    | ~ spl4_132 ),
    inference(avatar_component_clause,[],[f1991]) ).

fof(f101464,plain,
    ( spl4_1071
    | ~ spl4_130
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4838,f3849,f1982,f101462]) ).

fof(f101462,plain,
    ( spl4_1071
  <=> ! [X0,X3,X2,X1] : greater(vmul(X3,vplus(X1,vplus(X2,X0))),vmul(X3,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1071])]) ).

fof(f4838,plain,
    ( ! [X2,X3,X0,X1] : greater(vmul(X3,vplus(X1,vplus(X2,X0))),vmul(X3,X0))
    | ~ spl4_130
    | ~ spl4_172 ),
    inference(superposition,[],[f1983,f3850]) ).

fof(f101460,plain,
    ( spl4_1070
    | ~ spl4_117
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4835,f3849,f1929,f101458]) ).

fof(f101458,plain,
    ( spl4_1070
  <=> ! [X0,X3,X2,X1] : less(vplus(X3,X0),vplus(X3,vplus(X1,vplus(X2,X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1070])]) ).

fof(f4835,plain,
    ( ! [X2,X3,X0,X1] : less(vplus(X3,X0),vplus(X3,vplus(X1,vplus(X2,X0))))
    | ~ spl4_117
    | ~ spl4_172 ),
    inference(superposition,[],[f1930,f3850]) ).

fof(f101456,plain,
    ( spl4_1069
    | ~ spl4_116
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4833,f3849,f1925,f101454]) ).

fof(f101454,plain,
    ( spl4_1069
  <=> ! [X0,X3,X2,X1] : vplus(X3,X0) != vplus(X3,vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1069])]) ).

fof(f4833,plain,
    ( ! [X2,X3,X0,X1] : vplus(X3,X0) != vplus(X3,vplus(X1,vplus(X2,X0)))
    | ~ spl4_116
    | ~ spl4_172 ),
    inference(superposition,[],[f1926,f3850]) ).

fof(f101452,plain,
    ( spl4_1068
    | ~ spl4_115
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4832,f3849,f1921,f101450]) ).

fof(f101450,plain,
    ( spl4_1068
  <=> ! [X0,X3,X2,X1] : greater(vplus(X3,vplus(X1,vplus(X2,X0))),vplus(X3,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1068])]) ).

fof(f4832,plain,
    ( ! [X2,X3,X0,X1] : greater(vplus(X3,vplus(X1,vplus(X2,X0))),vplus(X3,X0))
    | ~ spl4_115
    | ~ spl4_172 ),
    inference(superposition,[],[f1922,f3850]) ).

fof(f101448,plain,
    ( spl4_1067
    | ~ spl4_132
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4726,f3849,f1991,f101446]) ).

fof(f101446,plain,
    ( spl4_1067
  <=> ! [X0,X3,X2,X1] : less(vmul(X3,X0),vmul(X3,vplus(X2,vplus(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1067])]) ).

fof(f4726,plain,
    ( ! [X2,X3,X0,X1] : less(vmul(X3,X0),vmul(X3,vplus(X2,vplus(X0,X1))))
    | ~ spl4_132
    | ~ spl4_172 ),
    inference(superposition,[],[f1992,f3850]) ).

fof(f101444,plain,
    ( spl4_1066
    | ~ spl4_131
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4725,f3849,f1986,f101442]) ).

fof(f101442,plain,
    ( spl4_1066
  <=> ! [X0,X3,X2,X1] : vmul(X3,X0) != vmul(X3,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1066])]) ).

fof(f1986,plain,
    ( spl4_131
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vmul(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_131])]) ).

fof(f4725,plain,
    ( ! [X2,X3,X0,X1] : vmul(X3,X0) != vmul(X3,vplus(X2,vplus(X0,X1)))
    | ~ spl4_131
    | ~ spl4_172 ),
    inference(superposition,[],[f1987,f3850]) ).

fof(f1987,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(X0,vplus(X1,X2))
    | ~ spl4_131 ),
    inference(avatar_component_clause,[],[f1986]) ).

fof(f101440,plain,
    ( spl4_1065
    | ~ spl4_130
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4724,f3849,f1982,f101438]) ).

fof(f101438,plain,
    ( spl4_1065
  <=> ! [X0,X3,X2,X1] : greater(vmul(X3,vplus(X2,vplus(X0,X1))),vmul(X3,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1065])]) ).

fof(f4724,plain,
    ( ! [X2,X3,X0,X1] : greater(vmul(X3,vplus(X2,vplus(X0,X1))),vmul(X3,X0))
    | ~ spl4_130
    | ~ spl4_172 ),
    inference(superposition,[],[f1983,f3850]) ).

fof(f101406,plain,
    ( ~ spl4_452
    | ~ spl4_949 ),
    inference(avatar_contradiction_clause,[],[f101393]) ).

fof(f101393,plain,
    ( $false
    | ~ spl4_452
    | ~ spl4_949 ),
    inference(resolution,[],[f82961,f36219]) ).

fof(f36219,plain,
    ( greater(vd518,v1)
    | ~ spl4_452 ),
    inference(avatar_component_clause,[],[f36218]) ).

fof(f36218,plain,
    ( spl4_452
  <=> greater(vd518,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_452])]) ).

fof(f101392,plain,
    ( spl4_1064
    | ~ spl4_117
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4721,f3849,f1929,f101390]) ).

fof(f101390,plain,
    ( spl4_1064
  <=> ! [X0,X3,X2,X1] : less(vplus(X3,X0),vplus(X3,vplus(X2,vplus(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1064])]) ).

fof(f4721,plain,
    ( ! [X2,X3,X0,X1] : less(vplus(X3,X0),vplus(X3,vplus(X2,vplus(X0,X1))))
    | ~ spl4_117
    | ~ spl4_172 ),
    inference(superposition,[],[f1930,f3850]) ).

fof(f101388,plain,
    ( spl4_1063
    | ~ spl4_116
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4719,f3849,f1925,f101386]) ).

fof(f101386,plain,
    ( spl4_1063
  <=> ! [X0,X3,X2,X1] : vplus(X3,X0) != vplus(X3,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1063])]) ).

fof(f4719,plain,
    ( ! [X2,X3,X0,X1] : vplus(X3,X0) != vplus(X3,vplus(X2,vplus(X0,X1)))
    | ~ spl4_116
    | ~ spl4_172 ),
    inference(superposition,[],[f1926,f3850]) ).

fof(f101384,plain,
    ( spl4_1062
    | ~ spl4_115
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4718,f3849,f1921,f101382]) ).

fof(f101382,plain,
    ( spl4_1062
  <=> ! [X0,X3,X2,X1] : greater(vplus(X3,vplus(X2,vplus(X0,X1))),vplus(X3,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1062])]) ).

fof(f4718,plain,
    ( ! [X2,X3,X0,X1] : greater(vplus(X3,vplus(X2,vplus(X0,X1))),vplus(X3,X0))
    | ~ spl4_115
    | ~ spl4_172 ),
    inference(superposition,[],[f1922,f3850]) ).

fof(f101380,plain,
    ( spl4_1061
    | ~ spl4_85
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4712,f3849,f1397,f101378]) ).

fof(f101378,plain,
    ( spl4_1061
  <=> ! [X0,X3,X2,X1] : vplus(X1,X2) != vplus(X3,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1061])]) ).

fof(f1397,plain,
    ( spl4_85
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

fof(f4712,plain,
    ( ! [X2,X3,X0,X1] : vplus(X1,X2) != vplus(X3,vplus(X2,vplus(X0,X1)))
    | ~ spl4_85
    | ~ spl4_172 ),
    inference(superposition,[],[f1398,f3850]) ).

fof(f1398,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
    | ~ spl4_85 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f101376,plain,
    ( spl4_1060
    | ~ spl4_79
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4710,f3849,f1325,f101374]) ).

fof(f101374,plain,
    ( spl4_1060
  <=> ! [X0,X3,X2,X1] : vplus(X1,X2) != vplus(vplus(X2,vplus(X0,X1)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1060])]) ).

fof(f1325,plain,
    ( spl4_79
  <=> ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

fof(f4710,plain,
    ( ! [X2,X3,X0,X1] : vplus(X1,X2) != vplus(vplus(X2,vplus(X0,X1)),X3)
    | ~ spl4_79
    | ~ spl4_172 ),
    inference(superposition,[],[f1326,f3850]) ).

fof(f1326,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
    | ~ spl4_79 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f101372,plain,
    ( spl4_1059
    | ~ spl4_26
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4635,f3849,f381,f101370]) ).

fof(f101370,plain,
    ( spl4_1059
  <=> ! [X2,X0,X1] : vplus(vplus(X1,X2),X0) = vplus(X2,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1059])]) ).

fof(f4635,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X1,X2),X0) = vplus(X2,vplus(X0,X1))
    | ~ spl4_26
    | ~ spl4_172 ),
    inference(superposition,[],[f3850,f382]) ).

fof(f101368,plain,
    ( spl4_1058
    | ~ spl4_83
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4532,f3816,f1389,f101366]) ).

fof(f101366,plain,
    ( spl4_1058
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(X3,vplus(X1,vplus(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1058])]) ).

fof(f4532,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(X3,vplus(X1,vplus(X0,X2)))
    | ~ spl4_83
    | ~ spl4_170 ),
    inference(superposition,[],[f1390,f3817]) ).

fof(f101364,plain,
    ( spl4_1057
    | ~ spl4_27
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4504,f3816,f385,f101362]) ).

fof(f101362,plain,
    ( spl4_1057
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(vplus(X1,vplus(X0,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1057])]) ).

fof(f4504,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X1,vplus(X0,X2)),X3)
    | ~ spl4_27
    | ~ spl4_170 ),
    inference(superposition,[],[f386,f3817]) ).

fof(f101360,plain,
    ( spl4_1056
    | ~ spl4_26
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4484,f3816,f381,f101358]) ).

fof(f101358,plain,
    ( spl4_1056
  <=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) = vplus(X1,vplus(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1056])]) ).

fof(f4484,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) = vplus(X1,vplus(X0,X2))
    | ~ spl4_26
    | ~ spl4_170 ),
    inference(superposition,[],[f3817,f382]) ).

fof(f101356,plain,
    ( spl4_1055
    | ~ spl4_55
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4481,f3816,f679,f101354]) ).

fof(f101354,plain,
    ( spl4_1055
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X1,vplus(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1055])]) ).

fof(f4481,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X1,vplus(X0,X2))
    | ~ spl4_55
    | ~ spl4_170 ),
    inference(superposition,[],[f3817,f680]) ).

fof(f101345,plain,
    ( spl4_1054
    | ~ spl4_86
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4358,f3812,f1401,f101343]) ).

fof(f101343,plain,
    ( spl4_1054
  <=> ! [X2,X0,X1] : vmul(X1,X2) != vmul(X2,vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1054])]) ).

fof(f1401,plain,
    ( spl4_86
  <=> ! [X0,X1] : vmul(vplus(v1,X0),X1) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f3812,plain,
    ( spl4_169
  <=> ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X2,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_169])]) ).

fof(f4358,plain,
    ( ! [X2,X0,X1] : vmul(X1,X2) != vmul(X2,vmul(vplus(v1,X0),X1))
    | ~ spl4_86
    | ~ spl4_169 ),
    inference(superposition,[],[f1402,f3813]) ).

fof(f3813,plain,
    ( ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X2,vmul(X0,X1))
    | ~ spl4_169 ),
    inference(avatar_component_clause,[],[f3812]) ).

fof(f1402,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) != X1
    | ~ spl4_86 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f101341,plain,
    ( spl4_1053
    | ~ spl4_25
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4268,f3812,f377,f101339]) ).

fof(f101339,plain,
    ( spl4_1053
  <=> ! [X2,X0,X1] : vmul(vmul(X1,X2),X0) = vmul(X2,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1053])]) ).

fof(f377,plain,
    ( spl4_25
  <=> ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f4268,plain,
    ( ! [X2,X0,X1] : vmul(vmul(X1,X2),X0) = vmul(X2,vmul(X0,X1))
    | ~ spl4_25
    | ~ spl4_169 ),
    inference(superposition,[],[f3813,f378]) ).

fof(f378,plain,
    ( ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0)
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f101337,plain,
    ( spl4_1052
    | ~ spl4_92
    | ~ spl4_168 ),
    inference(avatar_split_clause,[],[f4225,f3808,f1426,f101335]) ).

fof(f101335,plain,
    ( spl4_1052
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vmul(X1,vmul(X0,vplus(v1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1052])]) ).

fof(f1426,plain,
    ( spl4_92
  <=> ! [X0,X1] : vmul(X0,vplus(v1,X1)) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).

fof(f3808,plain,
    ( spl4_168
  <=> ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(vmul(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_168])]) ).

fof(f4225,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(X1,vmul(X0,vplus(v1,X2)))
    | ~ spl4_92
    | ~ spl4_168 ),
    inference(superposition,[],[f1427,f3809]) ).

fof(f3809,plain,
    ( ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(vmul(X1,X0),X2)
    | ~ spl4_168 ),
    inference(avatar_component_clause,[],[f3808]) ).

fof(f1427,plain,
    ( ! [X0,X1] : vmul(X0,vplus(v1,X1)) != X0
    | ~ spl4_92 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f101333,plain,
    ( spl4_1051
    | ~ spl4_25
    | ~ spl4_168 ),
    inference(avatar_split_clause,[],[f4160,f3808,f377,f101331]) ).

fof(f101331,plain,
    ( spl4_1051
  <=> ! [X2,X0,X1] : vmul(X2,vmul(X0,X1)) = vmul(X1,vmul(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1051])]) ).

fof(f4160,plain,
    ( ! [X2,X0,X1] : vmul(X2,vmul(X0,X1)) = vmul(X1,vmul(X0,X2))
    | ~ spl4_25
    | ~ spl4_168 ),
    inference(superposition,[],[f3809,f378]) ).

fof(f101329,plain,
    ( spl4_1050
    | ~ spl4_54
    | ~ spl4_168 ),
    inference(avatar_split_clause,[],[f4158,f3808,f675,f101327]) ).

fof(f101327,plain,
    ( spl4_1050
  <=> ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X1,vmul(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1050])]) ).

fof(f675,plain,
    ( spl4_54
  <=> ! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f4158,plain,
    ( ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X1,vmul(X0,X2))
    | ~ spl4_54
    | ~ spl4_168 ),
    inference(superposition,[],[f3809,f676]) ).

fof(f676,plain,
    ( ! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2))
    | ~ spl4_54 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f101325,plain,
    ( spl4_1049
    | ~ spl4_85
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f4078,f3804,f1397,f101323]) ).

fof(f101323,plain,
    ( spl4_1049
  <=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != sK3(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1049])]) ).

fof(f3804,plain,
    ( spl4_167
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(X0,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_167])]) ).

fof(f4078,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != sK3(X0,vplus(X0,X1))
    | ~ spl4_85
    | ~ spl4_167 ),
    inference(superposition,[],[f1398,f3805]) ).

fof(f3805,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(X0,vplus(X0,X1)))
    | ~ spl4_167 ),
    inference(avatar_component_clause,[],[f3804]) ).

fof(f101321,plain,
    ( spl4_1048
    | ~ spl4_79
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f4076,f3804,f1325,f101319]) ).

fof(f101319,plain,
    ( spl4_1048
  <=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) != sK3(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1048])]) ).

fof(f4076,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) != sK3(X0,vplus(X0,X1))
    | ~ spl4_79
    | ~ spl4_167 ),
    inference(superposition,[],[f1326,f3805]) ).

fof(f101317,plain,
    ( spl4_1047
    | ~ spl4_85
    | ~ spl4_166 ),
    inference(avatar_split_clause,[],[f3959,f3800,f1397,f101315]) ).

fof(f101315,plain,
    ( spl4_1047
  <=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != sK2(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1047])]) ).

fof(f3800,plain,
    ( spl4_166
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_166])]) ).

fof(f3959,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != sK2(vplus(X0,X1),X0)
    | ~ spl4_85
    | ~ spl4_166 ),
    inference(superposition,[],[f1398,f3801]) ).

fof(f3801,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0))
    | ~ spl4_166 ),
    inference(avatar_component_clause,[],[f3800]) ).

fof(f101313,plain,
    ( spl4_1046
    | ~ spl4_79
    | ~ spl4_166 ),
    inference(avatar_split_clause,[],[f3957,f3800,f1325,f101311]) ).

fof(f101311,plain,
    ( spl4_1046
  <=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) != sK2(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1046])]) ).

fof(f3957,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) != sK2(vplus(X0,X1),X0)
    | ~ spl4_79
    | ~ spl4_166 ),
    inference(superposition,[],[f1326,f3801]) ).

fof(f101309,plain,
    ( spl4_1045
    | ~ spl4_55
    | ~ spl4_128
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2712,f1991,f1974,f679,f101307]) ).

fof(f101307,plain,
    ( spl4_1045
  <=> ! [X0,X1] : less(vplus(X0,X0),vmul(X0,vplus(v1,vplus(v1,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1045])]) ).

fof(f1974,plain,
    ( spl4_128
  <=> ! [X0] : vplus(X0,X0) = vmul(X0,vplus(v1,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_128])]) ).

fof(f2712,plain,
    ( ! [X0,X1] : less(vplus(X0,X0),vmul(X0,vplus(v1,vplus(v1,X1))))
    | ~ spl4_55
    | ~ spl4_128
    | ~ spl4_132 ),
    inference(forward_demodulation,[],[f2685,f680]) ).

fof(f2685,plain,
    ( ! [X0,X1] : less(vplus(X0,X0),vmul(X0,vplus(vplus(v1,v1),X1)))
    | ~ spl4_128
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f1975]) ).

fof(f1975,plain,
    ( ! [X0] : vplus(X0,X0) = vmul(X0,vplus(v1,v1))
    | ~ spl4_128 ),
    inference(avatar_component_clause,[],[f1974]) ).

fof(f101301,plain,
    ( spl4_1044
    | ~ spl4_118
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2688,f1991,f1933,f101299]) ).

fof(f101299,plain,
    ( spl4_1044
  <=> ! [X0,X1] : less(vplus(X0,X0),vmul(vplus(v1,v1),vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1044])]) ).

fof(f1933,plain,
    ( spl4_118
  <=> ! [X0] : vmul(vplus(v1,v1),X0) = vplus(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).

fof(f2688,plain,
    ( ! [X0,X1] : less(vplus(X0,X0),vmul(vplus(v1,v1),vplus(X0,X1)))
    | ~ spl4_118
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f1934]) ).

fof(f1934,plain,
    ( ! [X0] : vmul(vplus(v1,v1),X0) = vplus(X0,X0)
    | ~ spl4_118 ),
    inference(avatar_component_clause,[],[f1933]) ).

fof(f101297,plain,
    ( spl4_1043
    | ~ spl4_55
    | ~ spl4_128
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2646,f1982,f1974,f679,f101295]) ).

fof(f101295,plain,
    ( spl4_1043
  <=> ! [X0,X1] : greater(vmul(X0,vplus(v1,vplus(v1,X1))),vplus(X0,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1043])]) ).

fof(f2646,plain,
    ( ! [X0,X1] : greater(vmul(X0,vplus(v1,vplus(v1,X1))),vplus(X0,X0))
    | ~ spl4_55
    | ~ spl4_128
    | ~ spl4_130 ),
    inference(forward_demodulation,[],[f2633,f680]) ).

fof(f2633,plain,
    ( ! [X0,X1] : greater(vmul(X0,vplus(vplus(v1,v1),X1)),vplus(X0,X0))
    | ~ spl4_128
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f1975]) ).

fof(f101293,plain,
    ( spl4_1042
    | ~ spl4_118
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2636,f1982,f1933,f101291]) ).

fof(f101291,plain,
    ( spl4_1042
  <=> ! [X0,X1] : greater(vmul(vplus(v1,v1),vplus(X0,X1)),vplus(X0,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1042])]) ).

fof(f2636,plain,
    ( ! [X0,X1] : greater(vmul(vplus(v1,v1),vplus(X0,X1)),vplus(X0,X0))
    | ~ spl4_118
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f1934]) ).

fof(f101289,plain,
    ( spl4_1041
    | ~ spl4_38
    | ~ spl4_129 ),
    inference(avatar_split_clause,[],[f2595,f1978,f456,f101287]) ).

fof(f101287,plain,
    ( spl4_1041
  <=> ! [X0,X1] :
        ( vmul(X1,X0) != vmul(X1,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1041])]) ).

fof(f456,plain,
    ( spl4_38
  <=> ! [X0] :
        ( vplus(v1,vskolem2(X0)) = X0
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f1978,plain,
    ( spl4_129
  <=> ! [X2,X0,X1] : vmul(X0,X2) != vmul(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_129])]) ).

fof(f2595,plain,
    ( ! [X0,X1] :
        ( vmul(X1,X0) != vmul(X1,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_129 ),
    inference(superposition,[],[f1979,f457]) ).

fof(f457,plain,
    ( ! [X0] :
        ( vplus(v1,vskolem2(X0)) = X0
        | v1 = X0 )
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1979,plain,
    ( ! [X2,X0,X1] : vmul(X0,X2) != vmul(X0,vplus(X1,X2))
    | ~ spl4_129 ),
    inference(avatar_component_clause,[],[f1978]) ).

fof(f101285,plain,
    ( spl4_1040
    | ~ spl4_55
    | ~ spl4_129 ),
    inference(avatar_split_clause,[],[f2594,f1978,f679,f101283]) ).

fof(f101283,plain,
    ( spl4_1040
  <=> ! [X0,X3,X2,X1] : vmul(X3,X2) != vmul(X3,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1040])]) ).

fof(f2594,plain,
    ( ! [X2,X3,X0,X1] : vmul(X3,X2) != vmul(X3,vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_129 ),
    inference(superposition,[],[f1979,f680]) ).

fof(f101281,plain,
    ( spl4_1039
    | ~ spl4_56
    | ~ spl4_129 ),
    inference(avatar_split_clause,[],[f2590,f1978,f683,f101279]) ).

fof(f101279,plain,
    ( spl4_1039
  <=> ! [X2,X0,X1] : vmul(X2,X1) != vmul(X2,vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1039])]) ).

fof(f683,plain,
    ( spl4_56
  <=> ! [X0,X1] : vplus(vmul(X0,X1),X1) = vmul(vplus(v1,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f2590,plain,
    ( ! [X2,X0,X1] : vmul(X2,X1) != vmul(X2,vmul(vplus(v1,X0),X1))
    | ~ spl4_56
    | ~ spl4_129 ),
    inference(superposition,[],[f1979,f684]) ).

fof(f684,plain,
    ( ! [X0,X1] : vplus(vmul(X0,X1),X1) = vmul(vplus(v1,X0),X1)
    | ~ spl4_56 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f101277,plain,
    ( spl4_1038
    | ~ spl4_122
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2577,f1974,f1950,f101275]) ).

fof(f101275,plain,
    ( spl4_1038
  <=> ! [X0] : less(vplus(X0,X0),vmul(vplus(v1,X0),vplus(v1,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1038])]) ).

fof(f1950,plain,
    ( spl4_122
  <=> ! [X0,X1] : less(vmul(X0,X1),vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).

fof(f2577,plain,
    ( ! [X0] : less(vplus(X0,X0),vmul(vplus(v1,X0),vplus(v1,v1)))
    | ~ spl4_122
    | ~ spl4_128 ),
    inference(superposition,[],[f1951,f1975]) ).

fof(f1951,plain,
    ( ! [X0,X1] : less(vmul(X0,X1),vmul(vplus(v1,X0),X1))
    | ~ spl4_122 ),
    inference(avatar_component_clause,[],[f1950]) ).

fof(f101273,plain,
    ( spl4_1037
    | ~ spl4_120
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2576,f1974,f1941,f101271]) ).

fof(f101271,plain,
    ( spl4_1037
  <=> ! [X0] : greater(vmul(vplus(v1,X0),vplus(v1,v1)),vplus(X0,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1037])]) ).

fof(f1941,plain,
    ( spl4_120
  <=> ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).

fof(f2576,plain,
    ( ! [X0] : greater(vmul(vplus(v1,X0),vplus(v1,v1)),vplus(X0,X0))
    | ~ spl4_120
    | ~ spl4_128 ),
    inference(superposition,[],[f1942,f1975]) ).

fof(f1942,plain,
    ( ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),vmul(X0,X1))
    | ~ spl4_120 ),
    inference(avatar_component_clause,[],[f1941]) ).

fof(f101269,plain,
    ( spl4_1036
    | ~ spl4_117
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2529,f1974,f1929,f101267]) ).

fof(f101267,plain,
    ( spl4_1036
  <=> ! [X0,X1] : less(vmul(X0,vplus(v1,v1)),vplus(X0,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1036])]) ).

fof(f2529,plain,
    ( ! [X0,X1] : less(vmul(X0,vplus(v1,v1)),vplus(X0,vplus(X0,X1)))
    | ~ spl4_117
    | ~ spl4_128 ),
    inference(superposition,[],[f1930,f1975]) ).

fof(f101265,plain,
    ( spl4_1035
    | ~ spl4_115
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2526,f1974,f1921,f101263]) ).

fof(f101263,plain,
    ( spl4_1035
  <=> ! [X0,X1] : greater(vplus(X0,vplus(X0,X1)),vmul(X0,vplus(v1,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1035])]) ).

fof(f2526,plain,
    ( ! [X0,X1] : greater(vplus(X0,vplus(X0,X1)),vmul(X0,vplus(v1,v1)))
    | ~ spl4_115
    | ~ spl4_128 ),
    inference(superposition,[],[f1922,f1975]) ).

fof(f101261,plain,
    ( ~ spl4_508
    | ~ spl4_648
    | ~ spl4_702 ),
    inference(avatar_split_clause,[],[f62575,f57894,f42517,f36971]) ).

fof(f36971,plain,
    ( spl4_508
  <=> greater(vd520,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_508])]) ).

fof(f42517,plain,
    ( spl4_648
  <=> ! [X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_648])]) ).

fof(f57894,plain,
    ( spl4_702
  <=> geq(vd518,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_702])]) ).

fof(f62575,plain,
    ( ~ greater(vd520,vd518)
    | ~ spl4_648
    | ~ spl4_702 ),
    inference(resolution,[],[f57896,f42518]) ).

fof(f42518,plain,
    ( ! [X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X1,X0) )
    | ~ spl4_648 ),
    inference(avatar_component_clause,[],[f42517]) ).

fof(f57896,plain,
    ( geq(vd518,vd520)
    | ~ spl4_702 ),
    inference(avatar_component_clause,[],[f57894]) ).

fof(f101260,plain,
    ( spl4_1034
    | ~ spl4_38
    | ~ spl4_122 ),
    inference(avatar_split_clause,[],[f2368,f1950,f456,f101258]) ).

fof(f101258,plain,
    ( spl4_1034
  <=> ! [X0,X1] :
        ( less(vmul(vskolem2(X0),X1),vmul(X0,X1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1034])]) ).

fof(f2368,plain,
    ( ! [X0,X1] :
        ( less(vmul(vskolem2(X0),X1),vmul(X0,X1))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_122 ),
    inference(superposition,[],[f1951,f457]) ).

fof(f101256,plain,
    ( spl4_1033
    | ~ spl4_38
    | ~ spl4_121 ),
    inference(avatar_split_clause,[],[f2331,f1945,f456,f101254]) ).

fof(f101254,plain,
    ( spl4_1033
  <=> ! [X0,X1] :
        ( vmul(X0,X1) != vmul(vskolem2(X0),X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1033])]) ).

fof(f1945,plain,
    ( spl4_121
  <=> ! [X0,X1] : vmul(X0,X1) != vmul(vplus(v1,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_121])]) ).

fof(f2331,plain,
    ( ! [X0,X1] :
        ( vmul(X0,X1) != vmul(vskolem2(X0),X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_121 ),
    inference(superposition,[],[f1946,f457]) ).

fof(f1946,plain,
    ( ! [X0,X1] : vmul(X0,X1) != vmul(vplus(v1,X0),X1)
    | ~ spl4_121 ),
    inference(avatar_component_clause,[],[f1945]) ).

fof(f101252,plain,
    ( spl4_1032
    | ~ spl4_38
    | ~ spl4_120 ),
    inference(avatar_split_clause,[],[f2305,f1941,f456,f101250]) ).

fof(f101250,plain,
    ( spl4_1032
  <=> ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vskolem2(X0),X1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1032])]) ).

fof(f2305,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vskolem2(X0),X1))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_120 ),
    inference(superposition,[],[f1942,f457]) ).

fof(f101248,plain,
    ( spl4_1031
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_119 ),
    inference(avatar_split_clause,[],[f2288,f1937,f687,f301,f101246]) ).

fof(f101246,plain,
    ( spl4_1031
  <=> ! [X0,X1] : vplus(X0,vplus(v1,X1)) = vplus(vplus(X0,X1),v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1031])]) ).

fof(f687,plain,
    ( spl4_57
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).

fof(f1937,plain,
    ( spl4_119
  <=> ! [X0] : vplus(X0,v1) = vmul(vplus(v1,X0),v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_119])]) ).

fof(f2288,plain,
    ( ! [X0,X1] : vplus(X0,vplus(v1,X1)) = vplus(vplus(X0,X1),v1)
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_119 ),
    inference(forward_demodulation,[],[f2248,f302]) ).

fof(f2248,plain,
    ( ! [X0,X1] : vplus(vplus(X0,X1),v1) = vmul(vplus(X0,vplus(v1,X1)),v1)
    | ~ spl4_57
    | ~ spl4_119 ),
    inference(superposition,[],[f1938,f688]) ).

fof(f688,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1))
    | ~ spl4_57 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1938,plain,
    ( ! [X0] : vplus(X0,v1) = vmul(vplus(v1,X0),v1)
    | ~ spl4_119 ),
    inference(avatar_component_clause,[],[f1937]) ).

fof(f101244,plain,
    ( spl4_1030
    | ~ spl4_117
    | ~ spl4_118 ),
    inference(avatar_split_clause,[],[f2229,f1933,f1929,f101242]) ).

fof(f101242,plain,
    ( spl4_1030
  <=> ! [X0,X1] : less(vmul(vplus(v1,v1),X0),vplus(X0,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1030])]) ).

fof(f2229,plain,
    ( ! [X0,X1] : less(vmul(vplus(v1,v1),X0),vplus(X0,vplus(X0,X1)))
    | ~ spl4_117
    | ~ spl4_118 ),
    inference(superposition,[],[f1930,f1934]) ).

fof(f101240,plain,
    ( spl4_1029
    | ~ spl4_115
    | ~ spl4_118 ),
    inference(avatar_split_clause,[],[f2226,f1933,f1921,f101238]) ).

fof(f101238,plain,
    ( spl4_1029
  <=> ! [X0,X1] : greater(vplus(X0,vplus(X0,X1)),vmul(vplus(v1,v1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1029])]) ).

fof(f2226,plain,
    ( ! [X0,X1] : greater(vplus(X0,vplus(X0,X1)),vmul(vplus(v1,v1),X0))
    | ~ spl4_115
    | ~ spl4_118 ),
    inference(superposition,[],[f1922,f1934]) ).

fof(f101236,plain,
    ( spl4_1028
    | ~ spl4_38
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2119,f1929,f456,f101234]) ).

fof(f101234,plain,
    ( spl4_1028
  <=> ! [X0,X1] :
        ( less(X0,vplus(v1,vplus(vskolem2(X0),X1)))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1028])]) ).

fof(f2119,plain,
    ( ! [X0,X1] :
        ( less(X0,vplus(v1,vplus(vskolem2(X0),X1)))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_117 ),
    inference(superposition,[],[f1930,f457]) ).

fof(f101232,plain,
    ( spl4_1027
    | ~ spl4_38
    | ~ spl4_115 ),
    inference(avatar_split_clause,[],[f2069,f1921,f456,f101230]) ).

fof(f101230,plain,
    ( spl4_1027
  <=> ! [X0,X1] :
        ( greater(vplus(v1,vplus(vskolem2(X0),X1)),X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1027])]) ).

fof(f2069,plain,
    ( ! [X0,X1] :
        ( greater(vplus(v1,vplus(vskolem2(X0),X1)),X0)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_115 ),
    inference(superposition,[],[f1922,f457]) ).

fof(f101228,plain,
    ( spl4_1026
    | ~ spl4_61
    | ~ spl4_109 ),
    inference(avatar_split_clause,[],[f1885,f1720,f893,f101226]) ).

fof(f101226,plain,
    ( spl4_1026
  <=> ! [X2,X0,X1] :
        ( greater(v1,X0)
        | ~ greater(X1,X0)
        | ~ greater(X2,vmul(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1026])]) ).

fof(f893,plain,
    ( spl4_61
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,X2),vmul(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f1720,plain,
    ( spl4_109
  <=> ! [X0,X1] :
        ( ~ greater(X0,vmul(X1,X0))
        | greater(v1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).

fof(f1885,plain,
    ( ! [X2,X0,X1] :
        ( greater(v1,X0)
        | ~ greater(X1,X0)
        | ~ greater(X2,vmul(X1,X2)) )
    | ~ spl4_61
    | ~ spl4_109 ),
    inference(resolution,[],[f1721,f894]) ).

fof(f894,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,X2),vmul(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_61 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f1721,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,vmul(X1,X0))
        | greater(v1,X1) )
    | ~ spl4_109 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f101224,plain,
    ( spl4_1025
    | ~ spl4_34
    | ~ spl4_101 ),
    inference(avatar_split_clause,[],[f1823,f1687,f440,f101222]) ).

fof(f101222,plain,
    ( spl4_1025
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ leq(X2,vplus(X0,v1))
        | leq(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1025])]) ).

fof(f440,plain,
    ( spl4_34
  <=> ! [X2,X0,X1] :
        ( leq(X0,X2)
        | ~ leq(X0,X1)
        | ~ leq(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f1687,plain,
    ( spl4_101
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,v1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_101])]) ).

fof(f1823,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ leq(X2,vplus(X0,v1))
        | leq(X2,X1) )
    | ~ spl4_34
    | ~ spl4_101 ),
    inference(resolution,[],[f1688,f441]) ).

fof(f441,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X1,X2)
        | ~ leq(X0,X1)
        | leq(X0,X2) )
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1688,plain,
    ( ! [X0,X1] :
        ( leq(vplus(X0,v1),X1)
        | ~ less(X0,X1) )
    | ~ spl4_101 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f101211,plain,
    ( spl4_1024
    | ~ spl4_36
    | ~ spl4_101 ),
    inference(avatar_split_clause,[],[f1822,f1687,f448,f101209]) ).

fof(f101209,plain,
    ( spl4_1024
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(vplus(X0,v1),X2)
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1024])]) ).

fof(f448,plain,
    ( spl4_36
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ leq(X0,X1)
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f1822,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(vplus(X0,v1),X2)
        | ~ less(X1,X2) )
    | ~ spl4_36
    | ~ spl4_101 ),
    inference(resolution,[],[f1688,f449]) ).

fof(f449,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X0,X1)
        | less(X0,X2)
        | ~ less(X1,X2) )
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f101207,plain,
    ( spl4_1023
    | ~ spl4_37
    | ~ spl4_101 ),
    inference(avatar_split_clause,[],[f1821,f1687,f452,f101205]) ).

fof(f101205,plain,
    ( spl4_1023
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,v1))
        | less(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1023])]) ).

fof(f452,plain,
    ( spl4_37
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ less(X0,X1)
        | ~ leq(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f1821,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,v1))
        | less(X2,X1) )
    | ~ spl4_37
    | ~ spl4_101 ),
    inference(resolution,[],[f1688,f453]) ).

fof(f453,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X1,X2)
        | ~ less(X0,X1)
        | less(X0,X2) )
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f101203,plain,
    ( spl4_1022
    | ~ spl4_35
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1809,f1683,f444,f101201]) ).

fof(f101201,plain,
    ( spl4_1022
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,v1)
        | ~ less(X1,vmul(X0,X2))
        | less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1022])]) ).

fof(f444,plain,
    ( spl4_35
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ less(X0,X1)
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f1683,plain,
    ( spl4_100
  <=> ! [X0,X1] :
        ( less(vmul(X1,X0),X0)
        | ~ less(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).

fof(f1809,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,v1)
        | ~ less(X1,vmul(X0,X2))
        | less(X1,X2) )
    | ~ spl4_35
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f445]) ).

fof(f445,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,X2)
        | ~ less(X0,X1)
        | less(X0,X2) )
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1684,plain,
    ( ! [X0,X1] :
        ( less(vmul(X1,X0),X0)
        | ~ less(X1,v1) )
    | ~ spl4_100 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f101199,plain,
    ( spl4_1021
    | ~ spl4_35
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1798,f1679,f444,f101197]) ).

fof(f101197,plain,
    ( spl4_1021
  <=> ! [X2,X0,X1] :
        ( ~ less(v1,X0)
        | ~ less(X1,X2)
        | less(X1,vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1021])]) ).

fof(f1679,plain,
    ( spl4_99
  <=> ! [X0,X1] :
        ( less(X0,vmul(X1,X0))
        | ~ less(v1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).

fof(f1798,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(v1,X0)
        | ~ less(X1,X2)
        | less(X1,vmul(X0,X2)) )
    | ~ spl4_35
    | ~ spl4_99 ),
    inference(resolution,[],[f1680,f445]) ).

fof(f1680,plain,
    ( ! [X0,X1] :
        ( less(X0,vmul(X1,X0))
        | ~ less(v1,X1) )
    | ~ spl4_99 ),
    inference(avatar_component_clause,[],[f1679]) ).

fof(f101195,plain,
    ( spl4_1020
    | ~ spl4_35
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1765,f1671,f444,f101193]) ).

fof(f101193,plain,
    ( spl4_1020
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,X0)
        | less(X2,vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1020])]) ).

fof(f1671,plain,
    ( spl4_97
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).

fof(f1765,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,X0)
        | less(X2,vplus(X1,X3)) )
    | ~ spl4_35
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f445]) ).

fof(f1672,plain,
    ( ! [X2,X0,X1] :
        ( less(X0,vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_97 ),
    inference(avatar_component_clause,[],[f1671]) ).

fof(f101191,plain,
    ( spl4_1019
    | ~ spl4_34
    | ~ spl4_94 ),
    inference(avatar_split_clause,[],[f1729,f1649,f440,f101189]) ).

fof(f101189,plain,
    ( spl4_1019
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ leq(X2,vplus(X1,v1))
        | leq(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1019])]) ).

fof(f1649,plain,
    ( spl4_94
  <=> ! [X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vplus(X1,v1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).

fof(f1729,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ leq(X2,vplus(X1,v1))
        | leq(X2,X0) )
    | ~ spl4_34
    | ~ spl4_94 ),
    inference(resolution,[],[f1650,f441]) ).

fof(f1650,plain,
    ( ! [X0,X1] :
        ( leq(vplus(X1,v1),X0)
        | ~ greater(X0,X1) )
    | ~ spl4_94 ),
    inference(avatar_component_clause,[],[f1649]) ).

fof(f101187,plain,
    ( spl4_1018
    | ~ spl4_36
    | ~ spl4_94 ),
    inference(avatar_split_clause,[],[f1728,f1649,f448,f101185]) ).

fof(f101185,plain,
    ( spl4_1018
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,v1),X2)
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1018])]) ).

fof(f1728,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,v1),X2)
        | ~ less(X0,X2) )
    | ~ spl4_36
    | ~ spl4_94 ),
    inference(resolution,[],[f1650,f449]) ).

fof(f101183,plain,
    ( spl4_1017
    | ~ spl4_37
    | ~ spl4_94 ),
    inference(avatar_split_clause,[],[f1727,f1649,f452,f101181]) ).

fof(f101181,plain,
    ( spl4_1017
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ less(X2,vplus(X1,v1))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1017])]) ).

fof(f1727,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ less(X2,vplus(X1,v1))
        | less(X2,X0) )
    | ~ spl4_37
    | ~ spl4_94 ),
    inference(resolution,[],[f1650,f453]) ).

fof(f101179,plain,
    ( spl4_1016
    | ~ spl4_54
    | ~ spl4_92 ),
    inference(avatar_split_clause,[],[f1606,f1426,f675,f101177]) ).

fof(f101177,plain,
    ( spl4_1016
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vmul(X0,vmul(X1,vplus(v1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1016])]) ).

fof(f1606,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(X0,vmul(X1,vplus(v1,X2)))
    | ~ spl4_54
    | ~ spl4_92 ),
    inference(superposition,[],[f1427,f676]) ).

fof(f101168,plain,
    ( spl4_702
    | ~ spl4_18
    | ~ spl4_810 ),
    inference(avatar_split_clause,[],[f81034,f65696,f336,f57894]) ).

fof(f336,plain,
    ( spl4_18
  <=> ! [X0,X1] :
        ( geq(X1,X0)
        | ~ leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f65696,plain,
    ( spl4_810
  <=> leq(vd520,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_810])]) ).

fof(f81034,plain,
    ( geq(vd518,vd520)
    | ~ spl4_18
    | ~ spl4_810 ),
    inference(resolution,[],[f65698,f337]) ).

fof(f337,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | geq(X1,X0) )
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f65698,plain,
    ( leq(vd520,vd518)
    | ~ spl4_810 ),
    inference(avatar_component_clause,[],[f65696]) ).

fof(f101167,plain,
    ( spl4_1015
    | ~ spl4_57
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1480,f1397,f687,f101165]) ).

fof(f101165,plain,
    ( spl4_1015
  <=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(X2,vplus(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1015])]) ).

fof(f1480,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X2,vplus(X0,vplus(v1,X1)))
    | ~ spl4_57
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f688]) ).

fof(f101163,plain,
    ( spl4_1014
    | ~ spl4_59
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1477,f1397,f885,f101161]) ).

fof(f101161,plain,
    ( spl4_1014
  <=> ! [X0,X3,X2,X1] : vmul(X0,X2) != vplus(X3,vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1014])]) ).

fof(f885,plain,
    ( spl4_59
  <=> ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f1477,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,X2) != vplus(X3,vmul(X0,vplus(X1,X2)))
    | ~ spl4_59
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f886]) ).

fof(f886,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f101159,plain,
    ( spl4_1013
    | ~ spl4_57
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1472,f1397,f687,f101157]) ).

fof(f101157,plain,
    ( spl4_1013
  <=> ! [X2,X0,X1] : vplus(v1,X1) != vplus(X2,vplus(v1,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1013])]) ).

fof(f1472,plain,
    ( ! [X2,X0,X1] : vplus(v1,X1) != vplus(X2,vplus(v1,vplus(X0,X1)))
    | ~ spl4_57
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f688]) ).

fof(f101155,plain,
    ( spl4_1012
    | ~ spl4_55
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1460,f1389,f679,f101153]) ).

fof(f101153,plain,
    ( spl4_1012
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(X3,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1012])]) ).

fof(f1460,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(X3,vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f680]) ).

fof(f101151,plain,
    ( spl4_1011
    | ~ spl4_59
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1459,f1389,f885,f101149]) ).

fof(f101149,plain,
    ( spl4_1011
  <=> ! [X0,X3,X2,X1] : vmul(X0,X1) != vplus(X3,vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1011])]) ).

fof(f1459,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,X1) != vplus(X3,vmul(X0,vplus(X1,X2)))
    | ~ spl4_59
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f886]) ).

fof(f101147,plain,
    ( spl4_1010
    | ~ spl4_56
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1457,f1389,f683,f101145]) ).

fof(f101145,plain,
    ( spl4_1010
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vplus(X2,vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1010])]) ).

fof(f1457,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vplus(X2,vmul(vplus(v1,X0),X1))
    | ~ spl4_56
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f684]) ).

fof(f101143,plain,
    ( spl4_1009
    | ~ spl4_59
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1441,f1325,f885,f101141]) ).

fof(f101141,plain,
    ( spl4_1009
  <=> ! [X0,X3,X2,X1] : vmul(X0,X2) != vplus(vmul(X0,vplus(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1009])]) ).

fof(f1441,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,X2) != vplus(vmul(X0,vplus(X1,X2)),X3)
    | ~ spl4_59
    | ~ spl4_79 ),
    inference(superposition,[],[f1326,f886]) ).

fof(f101139,plain,
    ( spl4_1008
    | ~ spl4_43
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1263,f1198,f499,f101137]) ).

fof(f101137,plain,
    ( spl4_1008
  <=> ! [X0,X1] : vplus(X1,X0) = vplus(X0,sK3(X0,vplus(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1008])]) ).

fof(f499,plain,
    ( spl4_43
  <=> ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f1198,plain,
    ( spl4_73
  <=> ! [X0,X1] : greater(vplus(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f1263,plain,
    ( ! [X0,X1] : vplus(X1,X0) = vplus(X0,sK3(X0,vplus(X1,X0)))
    | ~ spl4_43
    | ~ spl4_73 ),
    inference(resolution,[],[f1199,f500]) ).

fof(f500,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,X0)
        | vplus(X0,sK3(X0,X1)) = X1 )
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1199,plain,
    ( ! [X0,X1] : greater(vplus(X1,X0),X0)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f101135,plain,
    ( spl4_1007
    | ~ spl4_41
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1247,f1194,f487,f101133]) ).

fof(f101133,plain,
    ( spl4_1007
  <=> ! [X0,X1] : vplus(X1,X0) = vplus(X0,sK2(vplus(X1,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1007])]) ).

fof(f487,plain,
    ( spl4_41
  <=> ! [X0,X1] :
        ( vplus(X1,sK2(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f1194,plain,
    ( spl4_72
  <=> ! [X0,X1] : less(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

fof(f1247,plain,
    ( ! [X0,X1] : vplus(X1,X0) = vplus(X0,sK2(vplus(X1,X0),X0))
    | ~ spl4_41
    | ~ spl4_72 ),
    inference(resolution,[],[f1195,f488]) ).

fof(f488,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | vplus(X1,sK2(X0,X1)) = X0 )
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1195,plain,
    ( ! [X0,X1] : less(X0,vplus(X1,X0))
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f100243,plain,
    ( spl4_111
    | ~ spl4_20
    | ~ spl4_753 ),
    inference(avatar_split_clause,[],[f75361,f63121,f344,f1893]) ).

fof(f1893,plain,
    ( spl4_111
  <=> greater(vd519,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_111])]) ).

fof(f63121,plain,
    ( spl4_753
  <=> less(vd518,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_753])]) ).

fof(f75361,plain,
    ( greater(vd519,vd518)
    | ~ spl4_20
    | ~ spl4_753 ),
    inference(resolution,[],[f63123,f345]) ).

fof(f63123,plain,
    ( less(vd518,vd519)
    | ~ spl4_753 ),
    inference(avatar_component_clause,[],[f63121]) ).

fof(f99458,plain,
    ( spl4_1006
    | ~ spl4_648
    | ~ spl4_755 ),
    inference(avatar_split_clause,[],[f67923,f64377,f42517,f99456]) ).

fof(f99456,plain,
    ( spl4_1006
  <=> ! [X0] : ~ greater(vd517,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1006])]) ).

fof(f64377,plain,
    ( spl4_755
  <=> ! [X0] : geq(X0,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_755])]) ).

fof(f67923,plain,
    ( ! [X0] : ~ greater(vd517,X0)
    | ~ spl4_648
    | ~ spl4_755 ),
    inference(resolution,[],[f64378,f42518]) ).

fof(f64378,plain,
    ( ! [X0] : geq(X0,vd517)
    | ~ spl4_755 ),
    inference(avatar_component_clause,[],[f64377]) ).

fof(f97810,plain,
    ( ~ spl4_267
    | ~ spl4_310
    | ~ spl4_648 ),
    inference(avatar_split_clause,[],[f42858,f42517,f13535,f8536]) ).

fof(f8536,plain,
    ( spl4_267
  <=> greater(vd519,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_267])]) ).

fof(f13535,plain,
    ( spl4_310
  <=> geq(vd517,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_310])]) ).

fof(f42858,plain,
    ( ~ greater(vd519,vd517)
    | ~ spl4_310
    | ~ spl4_648 ),
    inference(resolution,[],[f42518,f13537]) ).

fof(f13537,plain,
    ( geq(vd517,vd519)
    | ~ spl4_310 ),
    inference(avatar_component_clause,[],[f13535]) ).

fof(f93492,plain,
    ( ~ spl4_508
    | ~ spl4_648
    | ~ spl4_702 ),
    inference(avatar_split_clause,[],[f62575,f57894,f42517,f36971]) ).

fof(f87535,plain,
    ( ~ spl4_1005
    | ~ spl4_626
    | ~ spl4_996 ),
    inference(avatar_split_clause,[],[f84432,f84001,f41625,f87532]) ).

fof(f87532,plain,
    ( spl4_1005
  <=> vd518 = vd520 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1005])]) ).

fof(f41625,plain,
    ( spl4_626
  <=> ! [X0] : vd520 != vplus(vd517,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_626])]) ).

fof(f84001,plain,
    ( spl4_996
  <=> vd518 = vplus(vd517,sK1(vd518,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_996])]) ).

fof(f84432,plain,
    ( vd518 != vd520
    | ~ spl4_626
    | ~ spl4_996 ),
    inference(superposition,[],[f41626,f84003]) ).

fof(f84003,plain,
    ( vd518 = vplus(vd517,sK1(vd518,vd517))
    | ~ spl4_996 ),
    inference(avatar_component_clause,[],[f84001]) ).

fof(f41626,plain,
    ( ! [X0] : vd520 != vplus(vd517,X0)
    | ~ spl4_626 ),
    inference(avatar_component_clause,[],[f41625]) ).

fof(f86866,plain,
    ( ~ spl4_508
    | spl4_458
    | ~ spl4_491 ),
    inference(avatar_split_clause,[],[f65565,f36720,f36263,f36971]) ).

fof(f36263,plain,
    ( spl4_458
  <=> greater(vmul(vd517,vd517),vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_458])]) ).

fof(f36720,plain,
    ( spl4_491
  <=> ! [X0] :
        ( greater(vmul(vd517,vd517),X0)
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_491])]) ).

fof(f65565,plain,
    ( ~ greater(vd520,vd518)
    | spl4_458
    | ~ spl4_491 ),
    inference(resolution,[],[f36265,f36721]) ).

fof(f36721,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd517),X0)
        | ~ greater(vd520,X0) )
    | ~ spl4_491 ),
    inference(avatar_component_clause,[],[f36720]) ).

fof(f36265,plain,
    ( ~ greater(vmul(vd517,vd517),vd518)
    | spl4_458 ),
    inference(avatar_component_clause,[],[f36263]) ).

fof(f84854,plain,
    ( spl4_171
    | spl4_1004
    | spl4_15
    | ~ spl4_225 ),
    inference(avatar_split_clause,[],[f46887,f6547,f322,f84851,f3822]) ).

fof(f84851,plain,
    ( spl4_1004
  <=> vd518 = vplus(vd517,sK0(vd517,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1004])]) ).

fof(f6547,plain,
    ( spl4_225
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_225])]) ).

fof(f46887,plain,
    ( vd518 = vplus(vd517,sK0(vd517,vd518))
    | vd517 = vd518
    | spl4_15
    | ~ spl4_225 ),
    inference(resolution,[],[f323,f6548]) ).

fof(f6548,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_225 ),
    inference(avatar_component_clause,[],[f6547]) ).

fof(f323,plain,
    ( ~ greater(vd517,vd518)
    | spl4_15 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f84849,plain,
    ( spl4_1003
    | ~ spl4_163
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37468,f37391,f2842,f84847]) ).

fof(f84847,plain,
    ( spl4_1003
  <=> ! [X0] :
        ( ~ greater(vd519,vplus(sK3(vd520,vd519),X0))
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1003])]) ).

fof(f2842,plain,
    ( spl4_163
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_163])]) ).

fof(f37391,plain,
    ( spl4_515
  <=> vd519 = vplus(vd520,sK3(vd520,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_515])]) ).

fof(f37468,plain,
    ( ! [X0] :
        ( ~ greater(vd519,vplus(sK3(vd520,vd519),X0))
        | greater(vd520,X0) )
    | ~ spl4_163
    | ~ spl4_515 ),
    inference(superposition,[],[f2843,f37393]) ).

fof(f37393,plain,
    ( vd519 = vplus(vd520,sK3(vd520,vd519))
    | ~ spl4_515 ),
    inference(avatar_component_clause,[],[f37391]) ).

fof(f2843,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_163 ),
    inference(avatar_component_clause,[],[f2842]) ).

fof(f84845,plain,
    ( spl4_1002
    | ~ spl4_162
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37465,f37391,f2838,f84843]) ).

fof(f84843,plain,
    ( spl4_1002
  <=> ! [X0] :
        ( ~ greater(vd519,vplus(X0,vd520))
        | greater(sK3(vd520,vd519),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1002])]) ).

fof(f2838,plain,
    ( spl4_162
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_162])]) ).

fof(f37465,plain,
    ( ! [X0] :
        ( ~ greater(vd519,vplus(X0,vd520))
        | greater(sK3(vd520,vd519),X0) )
    | ~ spl4_162
    | ~ spl4_515 ),
    inference(superposition,[],[f2839,f37393]) ).

fof(f2839,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_162 ),
    inference(avatar_component_clause,[],[f2838]) ).

fof(f84841,plain,
    ( spl4_1001
    | ~ spl4_150
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37454,f37391,f2789,f84839]) ).

fof(f84839,plain,
    ( spl4_1001
  <=> ! [X0] :
        ( geq(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1001])]) ).

fof(f2789,plain,
    ( spl4_150
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_150])]) ).

fof(f37454,plain,
    ( ! [X0] :
        ( geq(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(X0,vd520) )
    | ~ spl4_150
    | ~ spl4_515 ),
    inference(superposition,[],[f2790,f37393]) ).

fof(f2790,plain,
    ( ! [X2,X0,X1] :
        ( geq(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_150 ),
    inference(avatar_component_clause,[],[f2789]) ).

fof(f84837,plain,
    ( spl4_1000
    | ~ spl4_143
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37447,f37391,f2756,f84835]) ).

fof(f84835,plain,
    ( spl4_1000
  <=> ! [X0] :
        ( ~ greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1000])]) ).

fof(f2756,plain,
    ( spl4_143
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_143])]) ).

fof(f37447,plain,
    ( ! [X0] :
        ( ~ greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) )
    | ~ spl4_143
    | ~ spl4_515 ),
    inference(superposition,[],[f2757,f37393]) ).

fof(f2757,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_143 ),
    inference(avatar_component_clause,[],[f2756]) ).

fof(f84833,plain,
    ( spl4_999
    | ~ spl4_141
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37443,f37391,f2748,f84831]) ).

fof(f84831,plain,
    ( spl4_999
  <=> ! [X0] :
        ( leq(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_999])]) ).

fof(f2748,plain,
    ( spl4_141
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_141])]) ).

fof(f37443,plain,
    ( ! [X0] :
        ( leq(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) )
    | ~ spl4_141
    | ~ spl4_515 ),
    inference(superposition,[],[f2749,f37393]) ).

fof(f2749,plain,
    ( ! [X2,X0,X1] :
        ( leq(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_141 ),
    inference(avatar_component_clause,[],[f2748]) ).

fof(f84829,plain,
    ( spl4_998
    | ~ spl4_53
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37412,f37391,f544,f84827]) ).

fof(f84827,plain,
    ( spl4_998
  <=> ! [X0] :
        ( ~ greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_998])]) ).

fof(f544,plain,
    ( spl4_53
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f37412,plain,
    ( ! [X0] :
        ( ~ greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | greater(vd520,X0) )
    | ~ spl4_53
    | ~ spl4_515 ),
    inference(superposition,[],[f545,f37393]) ).

fof(f545,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X2),vplus(X1,X2))
        | greater(X0,X1) )
    | ~ spl4_53 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f84011,plain,
    ( spl4_552
    | ~ spl4_133
    | ~ spl4_508 ),
    inference(avatar_split_clause,[],[f83147,f36971,f2346,f40837]) ).

fof(f40837,plain,
    ( spl4_552
  <=> greater(vd520,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_552])]) ).

fof(f2346,plain,
    ( spl4_133
  <=> vd519 = vd518 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_133])]) ).

fof(f83147,plain,
    ( greater(vd520,vd519)
    | ~ spl4_133
    | ~ spl4_508 ),
    inference(forward_demodulation,[],[f36973,f2348]) ).

fof(f2348,plain,
    ( vd519 = vd518
    | ~ spl4_133 ),
    inference(avatar_component_clause,[],[f2346]) ).

fof(f36973,plain,
    ( greater(vd520,vd518)
    | ~ spl4_508 ),
    inference(avatar_component_clause,[],[f36971]) ).

fof(f84010,plain,
    ( spl4_997
    | ~ spl4_133
    | ~ spl4_996 ),
    inference(avatar_split_clause,[],[f84005,f84001,f2346,f84007]) ).

fof(f84007,plain,
    ( spl4_997
  <=> vd519 = vplus(vd517,sK1(vd519,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_997])]) ).

fof(f84005,plain,
    ( vd519 = vplus(vd517,sK1(vd519,vd517))
    | ~ spl4_133
    | ~ spl4_996 ),
    inference(forward_demodulation,[],[f84003,f2348]) ).

fof(f84004,plain,
    ( spl4_171
    | spl4_996
    | spl4_15
    | ~ spl4_227 ),
    inference(avatar_split_clause,[],[f46886,f6555,f322,f84001,f3822]) ).

fof(f6555,plain,
    ( spl4_227
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_227])]) ).

fof(f46886,plain,
    ( vd518 = vplus(vd517,sK1(vd518,vd517))
    | vd517 = vd518
    | spl4_15
    | ~ spl4_227 ),
    inference(resolution,[],[f323,f6556]) ).

fof(f6556,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_227 ),
    inference(avatar_component_clause,[],[f6555]) ).

fof(f83586,plain,
    ( spl4_77
    | spl4_995
    | spl4_78
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f40857,f6551,f1299,f83583,f1295]) ).

fof(f1295,plain,
    ( spl4_77
  <=> vd519 = vd520 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

fof(f83583,plain,
    ( spl4_995
  <=> vd519 = vplus(vd520,sK0(vd520,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_995])]) ).

fof(f1299,plain,
    ( spl4_78
  <=> less(vd519,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f6551,plain,
    ( spl4_226
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_226])]) ).

fof(f40857,plain,
    ( vd519 = vplus(vd520,sK0(vd520,vd519))
    | vd519 = vd520
    | spl4_78
    | ~ spl4_226 ),
    inference(resolution,[],[f1300,f6552]) ).

fof(f6552,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_226 ),
    inference(avatar_component_clause,[],[f6551]) ).

fof(f1300,plain,
    ( ~ less(vd519,vd520)
    | spl4_78 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f83168,plain,
    ( spl4_77
    | spl4_994
    | spl4_78
    | ~ spl4_228 ),
    inference(avatar_split_clause,[],[f40856,f6559,f1299,f83165,f1295]) ).

fof(f83165,plain,
    ( spl4_994
  <=> vd519 = vplus(vd520,sK1(vd519,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_994])]) ).

fof(f6559,plain,
    ( spl4_228
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_228])]) ).

fof(f40856,plain,
    ( vd519 = vplus(vd520,sK1(vd519,vd520))
    | vd519 = vd520
    | spl4_78
    | ~ spl4_228 ),
    inference(resolution,[],[f1300,f6560]) ).

fof(f6560,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_228 ),
    inference(avatar_component_clause,[],[f6559]) ).

fof(f83163,plain,
    ( spl4_993
    | ~ spl4_163
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37467,f37391,f2842,f83161]) ).

fof(f83161,plain,
    ( spl4_993
  <=> ! [X0] :
        ( ~ greater(vplus(X0,vd520),vd519)
        | greater(X0,sK3(vd520,vd519)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_993])]) ).

fof(f37467,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vd520),vd519)
        | greater(X0,sK3(vd520,vd519)) )
    | ~ spl4_163
    | ~ spl4_515 ),
    inference(superposition,[],[f2843,f37393]) ).

fof(f83159,plain,
    ( spl4_992
    | ~ spl4_162
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37466,f37391,f2838,f83157]) ).

fof(f83157,plain,
    ( spl4_992
  <=> ! [X0] :
        ( ~ greater(vplus(sK3(vd520,vd519),X0),vd519)
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_992])]) ).

fof(f37466,plain,
    ( ! [X0] :
        ( ~ greater(vplus(sK3(vd520,vd519),X0),vd519)
        | greater(X0,vd520) )
    | ~ spl4_162
    | ~ spl4_515 ),
    inference(superposition,[],[f2839,f37393]) ).

fof(f83155,plain,
    ( spl4_991
    | ~ spl4_159
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37464,f37391,f2826,f83153]) ).

fof(f83153,plain,
    ( spl4_991
  <=> ! [X0] :
        ( ~ less(vd519,vplus(sK3(vd520,vd519),X0))
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_991])]) ).

fof(f2826,plain,
    ( spl4_159
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_159])]) ).

fof(f37464,plain,
    ( ! [X0] :
        ( ~ less(vd519,vplus(sK3(vd520,vd519),X0))
        | less(vd520,X0) )
    | ~ spl4_159
    | ~ spl4_515 ),
    inference(superposition,[],[f2827,f37393]) ).

fof(f2827,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) )
    | ~ spl4_159 ),
    inference(avatar_component_clause,[],[f2826]) ).

fof(f83151,plain,
    ( spl4_990
    | ~ spl4_159
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37463,f37391,f2826,f83149]) ).

fof(f83149,plain,
    ( spl4_990
  <=> ! [X0] :
        ( ~ less(vplus(X0,vd520),vd519)
        | less(X0,sK3(vd520,vd519)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_990])]) ).

fof(f37463,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vd520),vd519)
        | less(X0,sK3(vd520,vd519)) )
    | ~ spl4_159
    | ~ spl4_515 ),
    inference(superposition,[],[f2827,f37393]) ).

fof(f83133,plain,
    ( spl4_508
    | ~ spl4_20
    | ~ spl4_754 ),
    inference(avatar_split_clause,[],[f66089,f63889,f344,f36971]) ).

fof(f63889,plain,
    ( spl4_754
  <=> less(vd518,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_754])]) ).

fof(f66089,plain,
    ( greater(vd520,vd518)
    | ~ spl4_20
    | ~ spl4_754 ),
    inference(resolution,[],[f63891,f345]) ).

fof(f63891,plain,
    ( less(vd518,vd520)
    | ~ spl4_754 ),
    inference(avatar_component_clause,[],[f63889]) ).

fof(f83132,plain,
    ( spl4_989
    | ~ spl4_158
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37462,f37391,f2822,f83130]) ).

fof(f83130,plain,
    ( spl4_989
  <=> ! [X0] :
        ( ~ less(vplus(sK3(vd520,vd519),X0),vd519)
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_989])]) ).

fof(f2822,plain,
    ( spl4_158
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_158])]) ).

fof(f37462,plain,
    ( ! [X0] :
        ( ~ less(vplus(sK3(vd520,vd519),X0),vd519)
        | less(X0,vd520) )
    | ~ spl4_158
    | ~ spl4_515 ),
    inference(superposition,[],[f2823,f37393]) ).

fof(f2823,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) )
    | ~ spl4_158 ),
    inference(avatar_component_clause,[],[f2822]) ).

fof(f83128,plain,
    ( spl4_988
    | ~ spl4_158
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37461,f37391,f2822,f83126]) ).

fof(f83126,plain,
    ( spl4_988
  <=> ! [X0] :
        ( ~ less(vd519,vplus(X0,vd520))
        | less(sK3(vd520,vd519),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_988])]) ).

fof(f37461,plain,
    ( ! [X0] :
        ( ~ less(vd519,vplus(X0,vd520))
        | less(sK3(vd520,vd519),X0) )
    | ~ spl4_158
    | ~ spl4_515 ),
    inference(superposition,[],[f2823,f37393]) ).

fof(f83124,plain,
    ( spl4_987
    | ~ spl4_153
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37460,f37391,f2801,f83122]) ).

fof(f83122,plain,
    ( spl4_987
  <=> ! [X0] :
        ( greater(vd519,vplus(sK3(vd520,vd519),X0))
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_987])]) ).

fof(f2801,plain,
    ( spl4_153
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_153])]) ).

fof(f37460,plain,
    ( ! [X0] :
        ( greater(vd519,vplus(sK3(vd520,vd519),X0))
        | ~ greater(vd520,X0) )
    | ~ spl4_153
    | ~ spl4_515 ),
    inference(superposition,[],[f2802,f37393]) ).

fof(f2802,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_153 ),
    inference(avatar_component_clause,[],[f2801]) ).

fof(f83120,plain,
    ( spl4_986
    | ~ spl4_153
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37459,f37391,f2801,f83118]) ).

fof(f83118,plain,
    ( spl4_986
  <=> ! [X0] :
        ( greater(vplus(X0,vd520),vd519)
        | ~ greater(X0,sK3(vd520,vd519)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_986])]) ).

fof(f37459,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vd520),vd519)
        | ~ greater(X0,sK3(vd520,vd519)) )
    | ~ spl4_153
    | ~ spl4_515 ),
    inference(superposition,[],[f2802,f37393]) ).

fof(f83116,plain,
    ( spl4_985
    | ~ spl4_152
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37458,f37391,f2797,f83114]) ).

fof(f83114,plain,
    ( spl4_985
  <=> ! [X0] :
        ( greater(vplus(sK3(vd520,vd519),X0),vd519)
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_985])]) ).

fof(f2797,plain,
    ( spl4_152
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_152])]) ).

fof(f37458,plain,
    ( ! [X0] :
        ( greater(vplus(sK3(vd520,vd519),X0),vd519)
        | ~ greater(X0,vd520) )
    | ~ spl4_152
    | ~ spl4_515 ),
    inference(superposition,[],[f2798,f37393]) ).

fof(f2798,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_152 ),
    inference(avatar_component_clause,[],[f2797]) ).

fof(f83112,plain,
    ( spl4_984
    | ~ spl4_152
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37457,f37391,f2797,f83110]) ).

fof(f83110,plain,
    ( spl4_984
  <=> ! [X0] :
        ( greater(vd519,vplus(X0,vd520))
        | ~ greater(sK3(vd520,vd519),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_984])]) ).

fof(f37457,plain,
    ( ! [X0] :
        ( greater(vd519,vplus(X0,vd520))
        | ~ greater(sK3(vd520,vd519),X0) )
    | ~ spl4_152
    | ~ spl4_515 ),
    inference(superposition,[],[f2798,f37393]) ).

fof(f83108,plain,
    ( spl4_983
    | ~ spl4_151
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37456,f37391,f2793,f83106]) ).

fof(f83106,plain,
    ( spl4_983
  <=> ! [X0] :
        ( less(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_983])]) ).

fof(f2793,plain,
    ( spl4_151
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_151])]) ).

fof(f37456,plain,
    ( ! [X0] :
        ( less(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(X0,vd520) )
    | ~ spl4_151
    | ~ spl4_515 ),
    inference(superposition,[],[f2794,f37393]) ).

fof(f2794,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X2),vplus(X0,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_151 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f83104,plain,
    ( spl4_982
    | ~ spl4_151
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37455,f37391,f2793,f83102]) ).

fof(f83102,plain,
    ( spl4_982
  <=> ! [X0] :
        ( less(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_982])]) ).

fof(f37455,plain,
    ( ! [X0] :
        ( less(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(vd520,X0) )
    | ~ spl4_151
    | ~ spl4_515 ),
    inference(superposition,[],[f2794,f37393]) ).

fof(f83100,plain,
    ( spl4_981
    | ~ spl4_150
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37453,f37391,f2789,f83098]) ).

fof(f83098,plain,
    ( spl4_981
  <=> ! [X0] :
        ( geq(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_981])]) ).

fof(f37453,plain,
    ( ! [X0] :
        ( geq(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(vd520,X0) )
    | ~ spl4_150
    | ~ spl4_515 ),
    inference(superposition,[],[f2790,f37393]) ).

fof(f83096,plain,
    ( spl4_980
    | ~ spl4_145
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37452,f37391,f2764,f83094]) ).

fof(f83094,plain,
    ( spl4_980
  <=> ! [X0] :
        ( less(vd519,vplus(sK3(vd520,vd519),X0))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_980])]) ).

fof(f2764,plain,
    ( spl4_145
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_145])]) ).

fof(f37452,plain,
    ( ! [X0] :
        ( less(vd519,vplus(sK3(vd520,vd519),X0))
        | ~ less(vd520,X0) )
    | ~ spl4_145
    | ~ spl4_515 ),
    inference(superposition,[],[f2765,f37393]) ).

fof(f2765,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_145 ),
    inference(avatar_component_clause,[],[f2764]) ).

fof(f83085,plain,
    ( spl4_979
    | ~ spl4_145
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37451,f37391,f2764,f83083]) ).

fof(f83083,plain,
    ( spl4_979
  <=> ! [X0] :
        ( less(vplus(X0,vd520),vd519)
        | ~ less(X0,sK3(vd520,vd519)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_979])]) ).

fof(f37451,plain,
    ( ! [X0] :
        ( less(vplus(X0,vd520),vd519)
        | ~ less(X0,sK3(vd520,vd519)) )
    | ~ spl4_145
    | ~ spl4_515 ),
    inference(superposition,[],[f2765,f37393]) ).

fof(f83081,plain,
    ( spl4_978
    | ~ spl4_144
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37450,f37391,f2760,f83079]) ).

fof(f83079,plain,
    ( spl4_978
  <=> ! [X0] :
        ( less(vplus(sK3(vd520,vd519),X0),vd519)
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_978])]) ).

fof(f2760,plain,
    ( spl4_144
  <=> ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_144])]) ).

fof(f37450,plain,
    ( ! [X0] :
        ( less(vplus(sK3(vd520,vd519),X0),vd519)
        | ~ less(X0,vd520) )
    | ~ spl4_144
    | ~ spl4_515 ),
    inference(superposition,[],[f2761,f37393]) ).

fof(f2761,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_144 ),
    inference(avatar_component_clause,[],[f2760]) ).

fof(f83077,plain,
    ( spl4_977
    | ~ spl4_144
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37449,f37391,f2760,f83075]) ).

fof(f83075,plain,
    ( spl4_977
  <=> ! [X0] :
        ( less(vd519,vplus(X0,vd520))
        | ~ less(sK3(vd520,vd519),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_977])]) ).

fof(f37449,plain,
    ( ! [X0] :
        ( less(vd519,vplus(X0,vd520))
        | ~ less(sK3(vd520,vd519),X0) )
    | ~ spl4_144
    | ~ spl4_515 ),
    inference(superposition,[],[f2761,f37393]) ).

fof(f83073,plain,
    ( spl4_976
    | ~ spl4_143
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37448,f37391,f2756,f83071]) ).

fof(f83071,plain,
    ( spl4_976
  <=> ! [X0] :
        ( ~ greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_976])]) ).

fof(f37448,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) )
    | ~ spl4_143
    | ~ spl4_515 ),
    inference(superposition,[],[f2757,f37393]) ).

fof(f83069,plain,
    ( spl4_975
    | ~ spl4_142
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37446,f37391,f2752,f83067]) ).

fof(f83067,plain,
    ( spl4_975
  <=> ! [X0] :
        ( greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_975])]) ).

fof(f2752,plain,
    ( spl4_142
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_142])]) ).

fof(f37446,plain,
    ( ! [X0] :
        ( greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(X0,vd520) )
    | ~ spl4_142
    | ~ spl4_515 ),
    inference(superposition,[],[f2753,f37393]) ).

fof(f2753,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),vplus(X0,X2))
        | ~ less(X0,X1) )
    | ~ spl4_142 ),
    inference(avatar_component_clause,[],[f2752]) ).

fof(f83065,plain,
    ( spl4_974
    | ~ spl4_142
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37445,f37391,f2752,f83063]) ).

fof(f83063,plain,
    ( spl4_974
  <=> ! [X0] :
        ( greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_974])]) ).

fof(f37445,plain,
    ( ! [X0] :
        ( greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(vd520,X0) )
    | ~ spl4_142
    | ~ spl4_515 ),
    inference(superposition,[],[f2753,f37393]) ).

fof(f83061,plain,
    ( spl4_973
    | ~ spl4_141
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37444,f37391,f2748,f83059]) ).

fof(f83059,plain,
    ( spl4_973
  <=> ! [X0] :
        ( leq(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_973])]) ).

fof(f37444,plain,
    ( ! [X0] :
        ( leq(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) )
    | ~ spl4_141
    | ~ spl4_515 ),
    inference(superposition,[],[f2749,f37393]) ).

fof(f83057,plain,
    ( spl4_972
    | ~ spl4_135
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37442,f37391,f2724,f83055]) ).

fof(f83055,plain,
    ( spl4_972
  <=> ! [X0] :
        ( vd519 != vplus(X0,vd520)
        | sK3(vd520,vd519) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_972])]) ).

fof(f2724,plain,
    ( spl4_135
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X0) != vplus(X0,X2)
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_135])]) ).

fof(f37442,plain,
    ( ! [X0] :
        ( vd519 != vplus(X0,vd520)
        | sK3(vd520,vd519) = X0 )
    | ~ spl4_135
    | ~ spl4_515 ),
    inference(superposition,[],[f2725,f37393]) ).

fof(f2725,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X0) != vplus(X0,X2)
        | X1 = X2 )
    | ~ spl4_135 ),
    inference(avatar_component_clause,[],[f2724]) ).

fof(f83053,plain,
    ( spl4_971
    | ~ spl4_53
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37413,f37391,f544,f83051]) ).

fof(f83051,plain,
    ( spl4_971
  <=> ! [X0] :
        ( ~ greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_971])]) ).

fof(f37413,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | greater(X0,vd520) )
    | ~ spl4_53
    | ~ spl4_515 ),
    inference(superposition,[],[f545,f37393]) ).

fof(f83049,plain,
    ( spl4_970
    | ~ spl4_51
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37411,f37391,f536,f83047]) ).

fof(f83047,plain,
    ( spl4_970
  <=> ! [X0] :
        ( ~ less(vplus(X0,sK3(vd520,vd519)),vd519)
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_970])]) ).

fof(f536,plain,
    ( spl4_51
  <=> ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f37411,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,sK3(vd520,vd519)),vd519)
        | less(X0,vd520) )
    | ~ spl4_51
    | ~ spl4_515 ),
    inference(superposition,[],[f537,f37393]) ).

fof(f537,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X0,X2),vplus(X1,X2))
        | less(X0,X1) )
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f83045,plain,
    ( ~ spl4_311
    | ~ spl4_200
    | ~ spl4_646 ),
    inference(avatar_split_clause,[],[f62668,f42509,f6143,f17700]) ).

fof(f17700,plain,
    ( spl4_311
  <=> less(vd519,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_311])]) ).

fof(f6143,plain,
    ( spl4_200
  <=> less(vd517,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_200])]) ).

fof(f42509,plain,
    ( spl4_646
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_646])]) ).

fof(f62668,plain,
    ( ~ less(vd519,vd517)
    | ~ spl4_200
    | ~ spl4_646 ),
    inference(resolution,[],[f6145,f42510]) ).

fof(f42510,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | ~ less(X0,X1) )
    | ~ spl4_646 ),
    inference(avatar_component_clause,[],[f42509]) ).

fof(f6145,plain,
    ( less(vd517,vd519)
    | ~ spl4_200 ),
    inference(avatar_component_clause,[],[f6143]) ).

fof(f83044,plain,
    ( spl4_969
    | ~ spl4_51
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37410,f37391,f536,f83042]) ).

fof(f83042,plain,
    ( spl4_969
  <=> ! [X0] :
        ( ~ less(vd519,vplus(X0,sK3(vd520,vd519)))
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_969])]) ).

fof(f37410,plain,
    ( ! [X0] :
        ( ~ less(vd519,vplus(X0,sK3(vd520,vd519)))
        | less(vd520,X0) )
    | ~ spl4_51
    | ~ spl4_515 ),
    inference(superposition,[],[f537,f37393]) ).

fof(f83040,plain,
    ( spl4_968
    | ~ spl4_49
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37408,f37391,f523,f83038]) ).

fof(f83038,plain,
    ( spl4_968
  <=> ! [X0] :
        ( vd519 != vplus(X0,sK3(vd520,vd519))
        | vd520 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_968])]) ).

fof(f523,plain,
    ( spl4_49
  <=> ! [X2,X0,X1] :
        ( X0 = X1
        | vplus(X0,X2) != vplus(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f37408,plain,
    ( ! [X0] :
        ( vd519 != vplus(X0,sK3(vd520,vd519))
        | vd520 = X0 )
    | ~ spl4_49
    | ~ spl4_515 ),
    inference(superposition,[],[f524,f37393]) ).

fof(f524,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(X1,X2)
        | X0 = X1 )
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f83036,plain,
    ( spl4_967
    | ~ spl4_47
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37407,f37391,f515,f83034]) ).

fof(f83034,plain,
    ( spl4_967
  <=> ! [X0] :
        ( greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_967])]) ).

fof(f515,plain,
    ( spl4_47
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f37407,plain,
    ( ! [X0] :
        ( greater(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ greater(X0,vd520) )
    | ~ spl4_47
    | ~ spl4_515 ),
    inference(superposition,[],[f516,f37393]) ).

fof(f516,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f83032,plain,
    ( spl4_966
    | ~ spl4_47
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37406,f37391,f515,f83030]) ).

fof(f83030,plain,
    ( spl4_966
  <=> ! [X0] :
        ( greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_966])]) ).

fof(f37406,plain,
    ( ! [X0] :
        ( greater(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ greater(vd520,X0) )
    | ~ spl4_47
    | ~ spl4_515 ),
    inference(superposition,[],[f516,f37393]) ).

fof(f83028,plain,
    ( spl4_965
    | ~ spl4_45
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37405,f37391,f507,f83026]) ).

fof(f83026,plain,
    ( spl4_965
  <=> ! [X0] :
        ( less(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_965])]) ).

fof(f507,plain,
    ( spl4_45
  <=> ! [X2,X0,X1] :
        ( less(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f37405,plain,
    ( ! [X0] :
        ( less(vplus(X0,sK3(vd520,vd519)),vd519)
        | ~ less(X0,vd520) )
    | ~ spl4_45
    | ~ spl4_515 ),
    inference(superposition,[],[f508,f37393]) ).

fof(f508,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f83024,plain,
    ( spl4_964
    | ~ spl4_45
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37404,f37391,f507,f83022]) ).

fof(f83022,plain,
    ( spl4_964
  <=> ! [X0] :
        ( less(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_964])]) ).

fof(f37404,plain,
    ( ! [X0] :
        ( less(vd519,vplus(X0,sK3(vd520,vd519)))
        | ~ less(vd520,X0) )
    | ~ spl4_45
    | ~ spl4_515 ),
    inference(superposition,[],[f508,f37393]) ).

fof(f83020,plain,
    ( spl4_963
    | ~ spl4_40
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37402,f37391,f483,f83018]) ).

fof(f83018,plain,
    ( spl4_963
  <=> ! [X0] :
        ( vd519 != vplus(vd520,X0)
        | sK3(vd520,vd519) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_963])]) ).

fof(f483,plain,
    ( spl4_40
  <=> ! [X2,X0,X1] :
        ( vplus(X2,X0) != vplus(X2,X1)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f37402,plain,
    ( ! [X0] :
        ( vd519 != vplus(vd520,X0)
        | sK3(vd520,vd519) = X0 )
    | ~ spl4_40
    | ~ spl4_515 ),
    inference(superposition,[],[f484,f37393]) ).

fof(f484,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,X0) != vplus(X2,X1)
        | X0 = X1 )
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f83016,plain,
    ( spl4_962
    | ~ spl4_4
    | ~ spl4_363 ),
    inference(avatar_split_clause,[],[f23881,f19350,f277,f83014]) ).

fof(f83014,plain,
    ( spl4_962
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X1),X0)
        | ~ geq(X2,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_962])]) ).

fof(f19350,plain,
    ( spl4_363
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ geq(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_363])]) ).

fof(f23881,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X1),X0)
        | ~ geq(X2,vplus(X1,X2)) )
    | ~ spl4_4
    | ~ spl4_363 ),
    inference(resolution,[],[f19351,f278]) ).

fof(f19351,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ geq(X2,X4) )
    | ~ spl4_363 ),
    inference(avatar_component_clause,[],[f19350]) ).

fof(f83012,plain,
    ( spl4_961
    | ~ spl4_4
    | ~ spl4_360 ),
    inference(avatar_split_clause,[],[f23609,f19338,f277,f83010]) ).

fof(f83010,plain,
    ( spl4_961
  <=> ! [X0,X1] :
        ( ~ greater(X0,v1)
        | ~ geq(vplus(v1,X1),vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_961])]) ).

fof(f19338,plain,
    ( spl4_360
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(vplus(v1,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_360])]) ).

fof(f23609,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,v1)
        | ~ geq(vplus(v1,X1),vplus(X0,X1)) )
    | ~ spl4_4
    | ~ spl4_360 ),
    inference(resolution,[],[f19339,f278]) ).

fof(f19339,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(vplus(v1,X1),X3) )
    | ~ spl4_360 ),
    inference(avatar_component_clause,[],[f19338]) ).

fof(f83008,plain,
    ( spl4_960
    | ~ spl4_55
    | ~ spl4_69
    | ~ spl4_358 ),
    inference(avatar_split_clause,[],[f23439,f19330,f1182,f679,f83006]) ).

fof(f83006,plain,
    ( spl4_960
  <=> ! [X0,X3,X2,X1] :
        ( ~ geq(X0,vplus(X0,vplus(X1,X2)))
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_960])]) ).

fof(f1182,plain,
    ( spl4_69
  <=> ! [X0,X1] : ~ greater(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

fof(f19330,plain,
    ( spl4_358
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ geq(X3,vplus(X0,X1))
        | ~ greater(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_358])]) ).

fof(f23439,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,vplus(X0,vplus(X1,X2)))
        | ~ greater(X1,X3) )
    | ~ spl4_55
    | ~ spl4_69
    | ~ spl4_358 ),
    inference(forward_demodulation,[],[f23330,f680]) ).

fof(f23330,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,vplus(vplus(X0,X1),X2))
        | ~ greater(X1,X3) )
    | ~ spl4_69
    | ~ spl4_358 ),
    inference(resolution,[],[f19331,f1183]) ).

fof(f1183,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X0,X1))
    | ~ spl4_69 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f19331,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ geq(X3,vplus(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_358 ),
    inference(avatar_component_clause,[],[f19330]) ).

fof(f83004,plain,
    ( ~ spl4_200
    | ~ spl4_311
    | ~ spl4_646 ),
    inference(avatar_split_clause,[],[f43103,f42509,f17700,f6143]) ).

fof(f43103,plain,
    ( ~ less(vd517,vd519)
    | ~ spl4_311
    | ~ spl4_646 ),
    inference(resolution,[],[f17702,f42510]) ).

fof(f17702,plain,
    ( less(vd519,vd517)
    | ~ spl4_311 ),
    inference(avatar_component_clause,[],[f17700]) ).

fof(f83003,plain,
    ( spl4_959
    | ~ spl4_4
    | ~ spl4_358 ),
    inference(avatar_split_clause,[],[f23331,f19330,f277,f83001]) ).

fof(f83001,plain,
    ( spl4_959
  <=> ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X0,X1))
        | ~ greater(vplus(X1,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_959])]) ).

fof(f23331,plain,
    ( ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X0,X1))
        | ~ greater(vplus(X1,X2),X2) )
    | ~ spl4_4
    | ~ spl4_358 ),
    inference(resolution,[],[f19331,f278]) ).

fof(f82999,plain,
    ( spl4_958
    | ~ spl4_4
    | ~ spl4_353 ),
    inference(avatar_split_clause,[],[f22944,f19310,f277,f82997]) ).

fof(f82997,plain,
    ( spl4_958
  <=> ! [X0,X1] :
        ( ~ geq(v1,X0)
        | ~ greater(vplus(X0,X1),vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_958])]) ).

fof(f19310,plain,
    ( spl4_353
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(v1,X2)
        | ~ greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_353])]) ).

fof(f22944,plain,
    ( ! [X0,X1] :
        ( ~ geq(v1,X0)
        | ~ greater(vplus(X0,X1),vplus(v1,X1)) )
    | ~ spl4_4
    | ~ spl4_353 ),
    inference(resolution,[],[f19311,f278]) ).

fof(f19311,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(v1,X2)
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_353 ),
    inference(avatar_component_clause,[],[f19310]) ).

fof(f82995,plain,
    ( spl4_957
    | ~ spl4_4
    | ~ spl4_349 ),
    inference(avatar_split_clause,[],[f22522,f19294,f277,f82993]) ).

fof(f82993,plain,
    ( spl4_957
  <=> ! [X0,X1] :
        ( ~ geq(X0,v1)
        | ~ greater(vplus(v1,X1),vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_957])]) ).

fof(f19294,plain,
    ( spl4_349
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(vplus(v1,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_349])]) ).

fof(f22522,plain,
    ( ! [X0,X1] :
        ( ~ geq(X0,v1)
        | ~ greater(vplus(v1,X1),vplus(X0,X1)) )
    | ~ spl4_4
    | ~ spl4_349 ),
    inference(resolution,[],[f19295,f278]) ).

fof(f19295,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(vplus(v1,X1),X3) )
    | ~ spl4_349 ),
    inference(avatar_component_clause,[],[f19294]) ).

fof(f82991,plain,
    ( spl4_956
    | ~ spl4_4
    | ~ spl4_338 ),
    inference(avatar_split_clause,[],[f21368,f19245,f277,f82989]) ).

fof(f82989,plain,
    ( spl4_956
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X0,X1))
        | ~ greater(vmul(X1,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_956])]) ).

fof(f19245,plain,
    ( spl4_338
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vmul(X3,X4),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ greater(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_338])]) ).

fof(f21368,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X0,X1))
        | ~ greater(vmul(X1,X2),X2) )
    | ~ spl4_4
    | ~ spl4_338 ),
    inference(resolution,[],[f19246,f278]) ).

fof(f19246,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X3,X4),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_338 ),
    inference(avatar_component_clause,[],[f19245]) ).

fof(f82987,plain,
    ( spl4_955
    | ~ spl4_4
    | ~ spl4_337 ),
    inference(avatar_split_clause,[],[f21317,f19241,f277,f82985]) ).

fof(f82985,plain,
    ( spl4_955
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X1),X0)
        | ~ greater(X2,vmul(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_955])]) ).

fof(f19241,plain,
    ( spl4_337
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ greater(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_337])]) ).

fof(f21317,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X1),X0)
        | ~ greater(X2,vmul(X1,X2)) )
    | ~ spl4_4
    | ~ spl4_337 ),
    inference(resolution,[],[f19242,f278]) ).

fof(f19242,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ greater(X2,X4) )
    | ~ spl4_337 ),
    inference(avatar_component_clause,[],[f19241]) ).

fof(f82983,plain,
    ( spl4_954
    | ~ spl4_69
    | ~ spl4_302 ),
    inference(avatar_split_clause,[],[f17704,f13503,f1182,f82981]) ).

fof(f82981,plain,
    ( spl4_954
  <=> ! [X0,X1] :
        ( ~ geq(v1,X0)
        | ~ greater(vskolem2(X0),X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_954])]) ).

fof(f13503,plain,
    ( spl4_302
  <=> ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ geq(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_302])]) ).

fof(f17704,plain,
    ( ! [X0,X1] :
        ( ~ geq(v1,X0)
        | ~ greater(vskolem2(X0),X1)
        | v1 = X0 )
    | ~ spl4_69
    | ~ spl4_302 ),
    inference(resolution,[],[f13504,f1183]) ).

fof(f13504,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ geq(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_302 ),
    inference(avatar_component_clause,[],[f13503]) ).

fof(f82979,plain,
    ( spl4_953
    | ~ spl4_97
    | ~ spl4_246 ),
    inference(avatar_split_clause,[],[f9750,f8451,f1671,f82977]) ).

fof(f82977,plain,
    ( spl4_953
  <=> ! [X0,X3,X2,X1] :
        ( less(X0,vplus(X1,X2))
        | ~ less(vplus(X0,X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_953])]) ).

fof(f8451,plain,
    ( spl4_246
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | less(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_246])]) ).

fof(f9750,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(X0,vplus(X1,X2))
        | ~ less(vplus(X0,X3),X1) )
    | ~ spl4_97
    | ~ spl4_246 ),
    inference(resolution,[],[f8452,f1672]) ).

fof(f8452,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | less(X3,vplus(X0,X1)) )
    | ~ spl4_246 ),
    inference(avatar_component_clause,[],[f8451]) ).

fof(f82975,plain,
    ( spl4_952
    | ~ spl4_163
    | ~ spl4_243 ),
    inference(avatar_split_clause,[],[f9474,f8439,f2842,f82973]) ).

fof(f82973,plain,
    ( spl4_952
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,vplus(X1,X2))
        | greater(X0,vplus(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_952])]) ).

fof(f8439,plain,
    ( spl4_243
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_243])]) ).

fof(f9474,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,vplus(X1,X2))
        | greater(X0,vplus(X2,X1)) )
    | ~ spl4_163
    | ~ spl4_243 ),
    inference(resolution,[],[f8440,f2843]) ).

fof(f8440,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_243 ),
    inference(avatar_component_clause,[],[f8439]) ).

fof(f82971,plain,
    ( spl4_951
    | ~ spl4_162
    | ~ spl4_242 ),
    inference(avatar_split_clause,[],[f9381,f8435,f2838,f82969]) ).

fof(f82969,plain,
    ( spl4_951
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X1),X2)
        | greater(vplus(X1,X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_951])]) ).

fof(f8435,plain,
    ( spl4_242
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_242])]) ).

fof(f9381,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X1),X2)
        | greater(vplus(X1,X0),X2) )
    | ~ spl4_162
    | ~ spl4_242 ),
    inference(resolution,[],[f8436,f2839]) ).

fof(f8436,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_242 ),
    inference(avatar_component_clause,[],[f8435]) ).

fof(f82967,plain,
    ( spl4_950
    | ~ spl4_159
    | ~ spl4_241 ),
    inference(avatar_split_clause,[],[f9286,f8431,f2826,f82965]) ).

fof(f82965,plain,
    ( spl4_950
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,vplus(X1,X2))
        | less(X0,vplus(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_950])]) ).

fof(f8431,plain,
    ( spl4_241
  <=> ! [X0,X3,X2,X1] :
        ( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ less(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_241])]) ).

fof(f9286,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,vplus(X1,X2))
        | less(X0,vplus(X2,X1)) )
    | ~ spl4_159
    | ~ spl4_241 ),
    inference(resolution,[],[f8432,f2827]) ).

fof(f8432,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ less(X3,vplus(X0,X1)) )
    | ~ spl4_241 ),
    inference(avatar_component_clause,[],[f8431]) ).

fof(f82962,plain,
    ( spl4_949
    | ~ spl4_482
    | ~ spl4_648 ),
    inference(avatar_split_clause,[],[f42852,f42517,f36651,f82960]) ).

fof(f36651,plain,
    ( spl4_482
  <=> ! [X0] : geq(X0,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_482])]) ).

fof(f42852,plain,
    ( ! [X0] : ~ greater(vd518,X0)
    | ~ spl4_482
    | ~ spl4_648 ),
    inference(resolution,[],[f42518,f36652]) ).

fof(f36652,plain,
    ( ! [X0] : geq(X0,vd518)
    | ~ spl4_482 ),
    inference(avatar_component_clause,[],[f36651]) ).

fof(f82958,plain,
    ( spl4_948
    | ~ spl4_158
    | ~ spl4_240 ),
    inference(avatar_split_clause,[],[f9187,f8427,f2822,f82956]) ).

fof(f82956,plain,
    ( spl4_948
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X0,X1),X2)
        | less(vplus(X1,X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_948])]) ).

fof(f8427,plain,
    ( spl4_240
  <=> ! [X0,X3,X2,X1] :
        ( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ less(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_240])]) ).

fof(f9187,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X0,X1),X2)
        | less(vplus(X1,X0),X2) )
    | ~ spl4_158
    | ~ spl4_240 ),
    inference(resolution,[],[f8428,f2823]) ).

fof(f8428,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ less(vplus(X0,X1),X3) )
    | ~ spl4_240 ),
    inference(avatar_component_clause,[],[f8427]) ).

fof(f82954,plain,
    ( spl4_947
    | ~ spl4_161
    | ~ spl4_233 ),
    inference(avatar_split_clause,[],[f8788,f8397,f2834,f82952]) ).

fof(f82952,plain,
    ( spl4_947
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X1,X2))
        | greater(X0,vmul(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_947])]) ).

fof(f2834,plain,
    ( spl4_161
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X2,X1),vmul(X1,X0))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_161])]) ).

fof(f8397,plain,
    ( spl4_233
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_233])]) ).

fof(f8788,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X1,X2))
        | greater(X0,vmul(X2,X1)) )
    | ~ spl4_161
    | ~ spl4_233 ),
    inference(resolution,[],[f8398,f2835]) ).

fof(f2835,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X2,X1),vmul(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_161 ),
    inference(avatar_component_clause,[],[f2834]) ).

fof(f8398,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) )
    | ~ spl4_233 ),
    inference(avatar_component_clause,[],[f8397]) ).

fof(f82950,plain,
    ( spl4_946
    | ~ spl4_160
    | ~ spl4_232 ),
    inference(avatar_split_clause,[],[f8740,f8393,f2830,f82948]) ).

fof(f82948,plain,
    ( spl4_946
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X1),X2)
        | greater(vmul(X1,X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_946])]) ).

fof(f2830,plain,
    ( spl4_160
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X0),vmul(X2,X1))
        | greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_160])]) ).

fof(f8393,plain,
    ( spl4_232
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ greater(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_232])]) ).

fof(f8740,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X1),X2)
        | greater(vmul(X1,X0),X2) )
    | ~ spl4_160
    | ~ spl4_232 ),
    inference(resolution,[],[f8394,f2831]) ).

fof(f2831,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X0),vmul(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_160 ),
    inference(avatar_component_clause,[],[f2830]) ).

fof(f8394,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ greater(vmul(X0,X1),X3) )
    | ~ spl4_232 ),
    inference(avatar_component_clause,[],[f8393]) ).

fof(f82946,plain,
    ( spl4_945
    | ~ spl4_157
    | ~ spl4_231 ),
    inference(avatar_split_clause,[],[f8691,f8389,f2818,f82944]) ).

fof(f82944,plain,
    ( spl4_945
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,vmul(X1,X2))
        | less(X0,vmul(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_945])]) ).

fof(f2818,plain,
    ( spl4_157
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(X2,X1),vmul(X1,X0))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_157])]) ).

fof(f8389,plain,
    ( spl4_231
  <=> ! [X0,X3,X2,X1] :
        ( less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_231])]) ).

fof(f8691,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,vmul(X1,X2))
        | less(X0,vmul(X2,X1)) )
    | ~ spl4_157
    | ~ spl4_231 ),
    inference(resolution,[],[f8390,f2819]) ).

fof(f2819,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X2,X1),vmul(X1,X0))
        | less(X2,X0) )
    | ~ spl4_157 ),
    inference(avatar_component_clause,[],[f2818]) ).

fof(f8390,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) )
    | ~ spl4_231 ),
    inference(avatar_component_clause,[],[f8389]) ).

fof(f82942,plain,
    ( spl4_944
    | ~ spl4_155
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f8640,f8385,f2809,f82940]) ).

fof(f82940,plain,
    ( spl4_944
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(X0,X1),X2)
        | less(vmul(X1,X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_944])]) ).

fof(f2809,plain,
    ( spl4_155
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(X1,X0),vmul(X2,X1))
        | less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_155])]) ).

fof(f8385,plain,
    ( spl4_230
  <=> ! [X0,X3,X2,X1] :
        ( less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ less(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_230])]) ).

fof(f8640,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X0,X1),X2)
        | less(vmul(X1,X0),X2) )
    | ~ spl4_155
    | ~ spl4_230 ),
    inference(resolution,[],[f8386,f2810]) ).

fof(f2810,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X1,X0),vmul(X2,X1))
        | less(X0,X2) )
    | ~ spl4_155 ),
    inference(avatar_component_clause,[],[f2809]) ).

fof(f8386,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ less(vmul(X0,X1),X3) )
    | ~ spl4_230 ),
    inference(avatar_component_clause,[],[f8385]) ).

fof(f82938,plain,
    ( spl4_943
    | ~ spl4_10
    | ~ spl4_132
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6970,f6466,f1991,f301,f82936]) ).

fof(f82936,plain,
    ( spl4_943
  <=> ! [X2,X0,X1] :
        ( less(X2,vmul(X2,vplus(X0,X1)))
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_943])]) ).

fof(f6466,plain,
    ( spl4_206
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_206])]) ).

fof(f6970,plain,
    ( ! [X2,X0,X1] :
        ( less(X2,vmul(X2,vplus(X0,X1)))
        | v1 = X1 )
    | ~ spl4_10
    | ~ spl4_132
    | ~ spl4_206 ),
    inference(forward_demodulation,[],[f6920,f302]) ).

fof(f6920,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X2,v1),vmul(X2,vplus(X0,X1)))
        | v1 = X1 )
    | ~ spl4_132
    | ~ spl4_206 ),
    inference(superposition,[],[f1992,f6467]) ).

fof(f6467,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
        | v1 = X0 )
    | ~ spl4_206 ),
    inference(avatar_component_clause,[],[f6466]) ).

fof(f82934,plain,
    ( spl4_942
    | ~ spl4_10
    | ~ spl4_130
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6968,f6466,f1982,f301,f82932]) ).

fof(f82932,plain,
    ( spl4_942
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),X2)
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_942])]) ).

fof(f6968,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),X2)
        | v1 = X1 )
    | ~ spl4_10
    | ~ spl4_130
    | ~ spl4_206 ),
    inference(forward_demodulation,[],[f6918,f302]) ).

fof(f6918,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),vmul(X2,v1))
        | v1 = X1 )
    | ~ spl4_130
    | ~ spl4_206 ),
    inference(superposition,[],[f1983,f6467]) ).

fof(f82930,plain,
    ( spl4_941
    | ~ spl4_117
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6873,f6466,f1929,f82928]) ).

fof(f82928,plain,
    ( spl4_941
  <=> ! [X0,X1] :
        ( less(vplus(v1,X0),vplus(X0,X1))
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_941])]) ).

fof(f6873,plain,
    ( ! [X0,X1] :
        ( less(vplus(v1,X0),vplus(X0,X1))
        | v1 = X1 )
    | ~ spl4_117
    | ~ spl4_206 ),
    inference(superposition,[],[f1930,f6467]) ).

fof(f82926,plain,
    ( spl4_940
    | ~ spl4_115
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6871,f6466,f1921,f82924]) ).

fof(f82924,plain,
    ( spl4_940
  <=> ! [X0,X1] :
        ( greater(vplus(X0,X1),vplus(v1,X0))
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_940])]) ).

fof(f6871,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X0,X1),vplus(v1,X0))
        | v1 = X1 )
    | ~ spl4_115
    | ~ spl4_206 ),
    inference(superposition,[],[f1922,f6467]) ).

fof(f82922,plain,
    ( spl4_939
    | ~ spl4_92
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6858,f6466,f1426,f82920]) ).

fof(f82920,plain,
    ( spl4_939
  <=> ! [X2,X0,X1] :
        ( vmul(X2,vplus(X0,X1)) != X2
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_939])]) ).

fof(f6858,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X2,vplus(X0,X1)) != X2
        | v1 = X1 )
    | ~ spl4_92
    | ~ spl4_206 ),
    inference(superposition,[],[f1427,f6467]) ).

fof(f82911,plain,
    ( spl4_938
    | ~ spl4_86
    | ~ spl4_206 ),
    inference(avatar_split_clause,[],[f6857,f6466,f1401,f82909]) ).

fof(f82909,plain,
    ( spl4_938
  <=> ! [X2,X0,X1] :
        ( vmul(vplus(X0,X1),X2) != X2
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_938])]) ).

fof(f6857,plain,
    ( ! [X2,X0,X1] :
        ( vmul(vplus(X0,X1),X2) != X2
        | v1 = X1 )
    | ~ spl4_86
    | ~ spl4_206 ),
    inference(superposition,[],[f1402,f6467]) ).

fof(f82907,plain,
    ( spl4_937
    | ~ spl4_10
    | ~ spl4_132
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6830,f6462,f1991,f301,f82905]) ).

fof(f82905,plain,
    ( spl4_937
  <=> ! [X2,X0,X1] :
        ( less(X2,vmul(X2,vplus(X0,X1)))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_937])]) ).

fof(f6462,plain,
    ( spl4_205
  <=> ! [X0,X1] :
        ( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_205])]) ).

fof(f6830,plain,
    ( ! [X2,X0,X1] :
        ( less(X2,vmul(X2,vplus(X0,X1)))
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_132
    | ~ spl4_205 ),
    inference(forward_demodulation,[],[f6785,f302]) ).

fof(f6785,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X2,v1),vmul(X2,vplus(X0,X1)))
        | v1 = X0 )
    | ~ spl4_132
    | ~ spl4_205 ),
    inference(superposition,[],[f1992,f6463]) ).

fof(f6463,plain,
    ( ! [X0,X1] :
        ( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
        | v1 = X0 )
    | ~ spl4_205 ),
    inference(avatar_component_clause,[],[f6462]) ).

fof(f82903,plain,
    ( spl4_936
    | ~ spl4_10
    | ~ spl4_130
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6828,f6462,f1982,f301,f82901]) ).

fof(f82901,plain,
    ( spl4_936
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_936])]) ).

fof(f6828,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),X2)
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_130
    | ~ spl4_205 ),
    inference(forward_demodulation,[],[f6783,f302]) ).

fof(f6783,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,vplus(X0,X1)),vmul(X2,v1))
        | v1 = X0 )
    | ~ spl4_130
    | ~ spl4_205 ),
    inference(superposition,[],[f1983,f6463]) ).

fof(f82899,plain,
    ( spl4_935
    | ~ spl4_27
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6745,f6462,f385,f82897]) ).

fof(f82897,plain,
    ( spl4_935
  <=> ! [X2,X0,X1] :
        ( v1 != vplus(vplus(X0,X1),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_935])]) ).

fof(f6745,plain,
    ( ! [X2,X0,X1] :
        ( v1 != vplus(vplus(X0,X1),X2)
        | v1 = X0 )
    | ~ spl4_27
    | ~ spl4_205 ),
    inference(superposition,[],[f386,f6463]) ).

fof(f82895,plain,
    ( spl4_934
    | ~ spl4_92
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6721,f6462,f1426,f82893]) ).

fof(f82893,plain,
    ( spl4_934
  <=> ! [X2,X0,X1] :
        ( vmul(X2,vplus(X0,X1)) != X2
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_934])]) ).

fof(f6721,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X2,vplus(X0,X1)) != X2
        | v1 = X0 )
    | ~ spl4_92
    | ~ spl4_205 ),
    inference(superposition,[],[f1427,f6463]) ).

fof(f82891,plain,
    ( spl4_933
    | ~ spl4_86
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6720,f6462,f1401,f82889]) ).

fof(f82889,plain,
    ( spl4_933
  <=> ! [X2,X0,X1] :
        ( vmul(vplus(X0,X1),X2) != X2
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_933])]) ).

fof(f6720,plain,
    ( ! [X2,X0,X1] :
        ( vmul(vplus(X0,X1),X2) != X2
        | v1 = X0 )
    | ~ spl4_86
    | ~ spl4_205 ),
    inference(superposition,[],[f1402,f6463]) ).

fof(f82887,plain,
    ( spl4_932
    | ~ spl4_69
    | ~ spl4_185 ),
    inference(avatar_split_clause,[],[f6038,f3906,f1182,f82885]) ).

fof(f82885,plain,
    ( spl4_932
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,vplus(vmul(X0,X1),X2))
        | ~ greater(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_932])]) ).

fof(f3906,plain,
    ( spl4_185
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,X0)
        | ~ greater(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_185])]) ).

fof(f6038,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,vplus(vmul(X0,X1),X2))
        | ~ greater(X1,v1) )
    | ~ spl4_69
    | ~ spl4_185 ),
    inference(resolution,[],[f3907,f1183]) ).

fof(f3907,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,X0)
        | ~ greater(X2,v1) )
    | ~ spl4_185 ),
    inference(avatar_component_clause,[],[f3906]) ).

fof(f82883,plain,
    ( spl4_931
    | ~ spl4_69
    | ~ spl4_184 ),
    inference(avatar_split_clause,[],[f6012,f3902,f1182,f82881]) ).

fof(f82881,plain,
    ( spl4_931
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,v1)
        | ~ greater(X1,vplus(vmul(X0,X1),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_931])]) ).

fof(f3902,plain,
    ( spl4_184
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_184])]) ).

fof(f6012,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,v1)
        | ~ greater(X1,vplus(vmul(X0,X1),X2)) )
    | ~ spl4_69
    | ~ spl4_184 ),
    inference(resolution,[],[f3903,f1183]) ).

fof(f3903,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,X0) )
    | ~ spl4_184 ),
    inference(avatar_component_clause,[],[f3902]) ).

fof(f82879,plain,
    ( spl4_930
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_181 ),
    inference(avatar_split_clause,[],[f5945,f3890,f456,f301,f82877]) ).

fof(f82877,plain,
    ( spl4_930
  <=> ! [X2,X0,X1] :
        ( vplus(vmul(X1,X0),X2) != X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_930])]) ).

fof(f3890,plain,
    ( spl4_181
  <=> ! [X0,X3,X2,X1] : vmul(X0,X1) != vplus(vmul(X0,vplus(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_181])]) ).

fof(f5945,plain,
    ( ! [X2,X0,X1] :
        ( vplus(vmul(X1,X0),X2) != X1
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_181 ),
    inference(forward_demodulation,[],[f5919,f302]) ).

fof(f5919,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,v1) != vplus(vmul(X1,X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_181 ),
    inference(superposition,[],[f3891,f457]) ).

fof(f3891,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,X1) != vplus(vmul(X0,vplus(X1,X2)),X3)
    | ~ spl4_181 ),
    inference(avatar_component_clause,[],[f3890]) ).

fof(f82875,plain,
    ( spl4_929
    | ~ spl4_97
    | ~ spl4_179 ),
    inference(avatar_split_clause,[],[f5659,f3882,f1671,f82873]) ).

fof(f82873,plain,
    ( spl4_929
  <=> ! [X2,X0,X1] :
        ( less(X2,vmul(X0,vplus(v1,X1)))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_929])]) ).

fof(f3882,plain,
    ( spl4_179
  <=> ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_179])]) ).

fof(f5659,plain,
    ( ! [X2,X0,X1] :
        ( less(X2,vmul(X0,vplus(v1,X1)))
        | ~ less(X2,X0) )
    | ~ spl4_97
    | ~ spl4_179 ),
    inference(superposition,[],[f1672,f3883]) ).

fof(f3883,plain,
    ( ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1))
    | ~ spl4_179 ),
    inference(avatar_component_clause,[],[f3882]) ).

fof(f82859,plain,
    ( spl4_928
    | ~ spl4_97
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5171,f3861,f1671,f82857]) ).

fof(f82857,plain,
    ( spl4_928
  <=> ! [X2,X0,X1] :
        ( less(X2,vmul(vplus(v1,X1),X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_928])]) ).

fof(f5171,plain,
    ( ! [X2,X0,X1] :
        ( less(X2,vmul(vplus(v1,X1),X0))
        | ~ less(X2,X0) )
    | ~ spl4_97
    | ~ spl4_175 ),
    inference(superposition,[],[f1672,f3862]) ).

fof(f82855,plain,
    ( spl4_927
    | ~ spl4_98
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4830,f3849,f1675,f82853]) ).

fof(f82853,plain,
    ( spl4_927
  <=> ! [X2,X0,X1] :
        ( v1 != vplus(X1,vplus(X2,X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_927])]) ).

fof(f1675,plain,
    ( spl4_98
  <=> ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).

fof(f4830,plain,
    ( ! [X2,X0,X1] :
        ( v1 != vplus(X1,vplus(X2,X0))
        | v1 = X0 )
    | ~ spl4_98
    | ~ spl4_172 ),
    inference(superposition,[],[f1676,f3850]) ).

fof(f1676,plain,
    ( ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 )
    | ~ spl4_98 ),
    inference(avatar_component_clause,[],[f1675]) ).

fof(f82851,plain,
    ( spl4_926
    | ~ spl4_97
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4829,f3849,f1671,f82849]) ).

fof(f82849,plain,
    ( spl4_926
  <=> ! [X0,X3,X2,X1] :
        ( less(X3,vplus(X1,vplus(X2,X0)))
        | ~ less(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_926])]) ).

fof(f4829,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(X3,vplus(X1,vplus(X2,X0)))
        | ~ less(X3,X0) )
    | ~ spl4_97
    | ~ spl4_172 ),
    inference(superposition,[],[f1672,f3850]) ).

fof(f82847,plain,
    ( spl4_925
    | ~ spl4_98
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4716,f3849,f1675,f82845]) ).

fof(f82845,plain,
    ( spl4_925
  <=> ! [X2,X0,X1] :
        ( v1 != vplus(X2,vplus(X0,X1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_925])]) ).

fof(f4716,plain,
    ( ! [X2,X0,X1] :
        ( v1 != vplus(X2,vplus(X0,X1))
        | v1 = X0 )
    | ~ spl4_98
    | ~ spl4_172 ),
    inference(superposition,[],[f1676,f3850]) ).

fof(f82843,plain,
    ( spl4_924
    | ~ spl4_97
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4715,f3849,f1671,f82841]) ).

fof(f82841,plain,
    ( spl4_924
  <=> ! [X0,X3,X2,X1] :
        ( less(X3,vplus(X2,vplus(X0,X1)))
        | ~ less(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_924])]) ).

fof(f4715,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(X3,vplus(X2,vplus(X0,X1)))
        | ~ less(X3,X0) )
    | ~ spl4_97
    | ~ spl4_172 ),
    inference(superposition,[],[f1672,f3850]) ).

fof(f82839,plain,
    ( spl4_923
    | ~ spl4_10
    | ~ spl4_106
    | ~ spl4_168 ),
    inference(avatar_split_clause,[],[f4236,f3808,f1708,f301,f82837]) ).

fof(f82837,plain,
    ( spl4_923
  <=> ! [X2,X0,X1] :
        ( vmul(X1,X0) != X2
        | vmul(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_923])]) ).

fof(f1708,plain,
    ( spl4_106
  <=> ! [X0,X1] :
        ( vmul(X1,v1) != X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_106])]) ).

fof(f4236,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,X0) != X2
        | vmul(X0,X1) = X2 )
    | ~ spl4_10
    | ~ spl4_106
    | ~ spl4_168 ),
    inference(forward_demodulation,[],[f4163,f302]) ).

fof(f4163,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,vmul(X0,v1)) != X2
        | vmul(X0,X1) = X2 )
    | ~ spl4_106
    | ~ spl4_168 ),
    inference(superposition,[],[f1709,f3809]) ).

fof(f1709,plain,
    ( ! [X0,X1] :
        ( vmul(X1,v1) != X0
        | X0 = X1 )
    | ~ spl4_106 ),
    inference(avatar_component_clause,[],[f1708]) ).

fof(f82835,plain,
    ( spl4_922
    | ~ spl4_26
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f3744,f2838,f381,f82833]) ).

fof(f82833,plain,
    ( spl4_922
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X2),vplus(X1,X0))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_922])]) ).

fof(f3744,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X2),vplus(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_162 ),
    inference(superposition,[],[f2839,f382]) ).

fof(f82831,plain,
    ( spl4_921
    | ~ spl4_25
    | ~ spl4_160 ),
    inference(avatar_split_clause,[],[f3671,f2830,f377,f82829]) ).

fof(f82829,plain,
    ( spl4_921
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X2),vmul(X1,X0))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_921])]) ).

fof(f3671,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X2),vmul(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_160 ),
    inference(superposition,[],[f2831,f378]) ).

fof(f82827,plain,
    ( spl4_920
    | ~ spl4_26
    | ~ spl4_158 ),
    inference(avatar_split_clause,[],[f3592,f2822,f381,f82825]) ).

fof(f82825,plain,
    ( spl4_920
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X2),vplus(X1,X0))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_920])]) ).

fof(f3592,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X2),vplus(X1,X0))
        | less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_158 ),
    inference(superposition,[],[f2823,f382]) ).

fof(f82823,plain,
    ( spl4_919
    | ~ spl4_25
    | ~ spl4_155 ),
    inference(avatar_split_clause,[],[f3519,f2809,f377,f82821]) ).

fof(f82821,plain,
    ( spl4_919
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(X1,X2),vmul(X1,X0))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_919])]) ).

fof(f3519,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X1,X2),vmul(X1,X0))
        | less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_155 ),
    inference(superposition,[],[f2810,f378]) ).

fof(f82725,plain,
    ( spl4_918
    | ~ spl4_25
    | ~ spl4_154 ),
    inference(avatar_split_clause,[],[f3490,f2805,f377,f82723]) ).

fof(f82723,plain,
    ( spl4_918
  <=> ! [X2,X0,X1] :
        ( vmul(X1,X0) != vmul(X1,X2)
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_918])]) ).

fof(f2805,plain,
    ( spl4_154
  <=> ! [X2,X0,X1] :
        ( vmul(X1,X0) != vmul(X2,X1)
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_154])]) ).

fof(f3490,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,X0) != vmul(X1,X2)
        | X0 = X2 )
    | ~ spl4_25
    | ~ spl4_154 ),
    inference(superposition,[],[f2806,f378]) ).

fof(f2806,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,X0) != vmul(X2,X1)
        | X0 = X2 )
    | ~ spl4_154 ),
    inference(avatar_component_clause,[],[f2805]) ).

fof(f82721,plain,
    ( spl4_917
    | ~ spl4_26
    | ~ spl4_152 ),
    inference(avatar_split_clause,[],[f3427,f2797,f381,f82719]) ).

fof(f82719,plain,
    ( spl4_917
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),vplus(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_917])]) ).

fof(f3427,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_152 ),
    inference(superposition,[],[f2798,f382]) ).

fof(f82717,plain,
    ( spl4_916
    | ~ spl4_26
    | ~ spl4_151 ),
    inference(avatar_split_clause,[],[f3391,f2793,f381,f82715]) ).

fof(f82715,plain,
    ( spl4_916
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_916])]) ).

fof(f3391,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X0,X2) )
    | ~ spl4_26
    | ~ spl4_151 ),
    inference(superposition,[],[f2794,f382]) ).

fof(f82713,plain,
    ( spl4_915
    | ~ spl4_26
    | ~ spl4_151 ),
    inference(avatar_split_clause,[],[f3377,f2793,f381,f82711]) ).

fof(f82711,plain,
    ( spl4_915
  <=> ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_915])]) ).

fof(f3377,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_151 ),
    inference(superposition,[],[f2794,f382]) ).

fof(f82709,plain,
    ( spl4_914
    | ~ spl4_17
    | ~ spl4_151 ),
    inference(avatar_split_clause,[],[f3374,f2793,f332,f82707]) ).

fof(f82707,plain,
    ( spl4_914
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_914])]) ).

fof(f332,plain,
    ( spl4_17
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f3374,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_17
    | ~ spl4_151 ),
    inference(resolution,[],[f2794,f333]) ).

fof(f333,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,X1) )
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f82705,plain,
    ( spl4_913
    | ~ spl4_26
    | ~ spl4_150 ),
    inference(avatar_split_clause,[],[f3354,f2789,f381,f82703]) ).

fof(f82703,plain,
    ( spl4_913
  <=> ! [X2,X0,X1] :
        ( geq(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_913])]) ).

fof(f3354,plain,
    ( ! [X2,X0,X1] :
        ( geq(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_150 ),
    inference(superposition,[],[f2790,f382]) ).

fof(f82701,plain,
    ( spl4_912
    | ~ spl4_26
    | ~ spl4_150 ),
    inference(avatar_split_clause,[],[f3340,f2789,f381,f82699]) ).

fof(f82699,plain,
    ( spl4_912
  <=> ! [X2,X0,X1] :
        ( geq(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_912])]) ).

fof(f3340,plain,
    ( ! [X2,X0,X1] :
        ( geq(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_26
    | ~ spl4_150 ),
    inference(superposition,[],[f2790,f382]) ).

fof(f82697,plain,
    ( spl4_911
    | ~ spl4_19
    | ~ spl4_150 ),
    inference(avatar_split_clause,[],[f3337,f2789,f340,f82695]) ).

fof(f82695,plain,
    ( spl4_911
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_911])]) ).

fof(f340,plain,
    ( spl4_19
  <=> ! [X0,X1] :
        ( leq(X1,X0)
        | ~ geq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f3337,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_19
    | ~ spl4_150 ),
    inference(resolution,[],[f2790,f341]) ).

fof(f341,plain,
    ( ! [X0,X1] :
        ( ~ geq(X0,X1)
        | leq(X1,X0) )
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f82693,plain,
    ( spl4_910
    | ~ spl4_25
    | ~ spl4_148 ),
    inference(avatar_split_clause,[],[f3291,f2781,f377,f82691]) ).

fof(f82691,plain,
    ( spl4_910
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),vmul(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_910])]) ).

fof(f2781,plain,
    ( spl4_148
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_148])]) ).

fof(f3291,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),vmul(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_148 ),
    inference(superposition,[],[f2782,f378]) ).

fof(f2782,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_148 ),
    inference(avatar_component_clause,[],[f2781]) ).

fof(f82689,plain,
    ( spl4_909
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3267,f2777,f1937,f301,f82687]) ).

fof(f82687,plain,
    ( spl4_909
  <=> ! [X0,X1] :
        ( less(X1,vplus(X0,v1))
        | ~ greater(vplus(v1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_909])]) ).

fof(f2777,plain,
    ( spl4_147
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vmul(X1,X2),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_147])]) ).

fof(f3267,plain,
    ( ! [X0,X1] :
        ( less(X1,vplus(X0,v1))
        | ~ greater(vplus(v1,X0),X1) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(forward_demodulation,[],[f3261,f302]) ).

fof(f3261,plain,
    ( ! [X0,X1] :
        ( less(vmul(X1,v1),vplus(X0,v1))
        | ~ greater(vplus(v1,X0),X1) )
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f1938]) ).

fof(f2778,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X2),vmul(X0,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_147 ),
    inference(avatar_component_clause,[],[f2777]) ).

fof(f82675,plain,
    ( spl4_908
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3265,f2777,f1937,f301,f82673]) ).

fof(f82673,plain,
    ( spl4_908
  <=> ! [X0,X1] :
        ( less(vplus(X0,v1),X1)
        | ~ greater(X1,vplus(v1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_908])]) ).

fof(f3265,plain,
    ( ! [X0,X1] :
        ( less(vplus(X0,v1),X1)
        | ~ greater(X1,vplus(v1,X0)) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(forward_demodulation,[],[f3251,f302]) ).

fof(f3251,plain,
    ( ! [X0,X1] :
        ( less(vplus(X0,v1),vmul(X1,v1))
        | ~ greater(X1,vplus(v1,X0)) )
    | ~ spl4_119
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f1938]) ).

fof(f82671,plain,
    ( spl4_907
    | ~ spl4_25
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3255,f2777,f377,f82669]) ).

fof(f82669,plain,
    ( spl4_907
  <=> ! [X2,X0,X1] :
        ( less(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_907])]) ).

fof(f3255,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X0,X2) )
    | ~ spl4_25
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f378]) ).

fof(f82667,plain,
    ( spl4_906
    | ~ spl4_25
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3245,f2777,f377,f82665]) ).

fof(f82665,plain,
    ( spl4_906
  <=> ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_906])]) ).

fof(f3245,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f378]) ).

fof(f82663,plain,
    ( spl4_905
    | ~ spl4_17
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3243,f2777,f332,f82661]) ).

fof(f82661,plain,
    ( spl4_905
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(vmul(X1,X2),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_905])]) ).

fof(f3243,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(vmul(X1,X2),vmul(X0,X2)) )
    | ~ spl4_17
    | ~ spl4_147 ),
    inference(resolution,[],[f2778,f333]) ).

fof(f82659,plain,
    ( spl4_904
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3236,f2773,f1937,f301,f82657]) ).

fof(f82657,plain,
    ( spl4_904
  <=> ! [X0,X1] :
        ( geq(X1,vplus(X0,v1))
        | ~ greater(X1,vplus(v1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_904])]) ).

fof(f2773,plain,
    ( spl4_146
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vmul(X0,X2),vmul(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_146])]) ).

fof(f3236,plain,
    ( ! [X0,X1] :
        ( geq(X1,vplus(X0,v1))
        | ~ greater(X1,vplus(v1,X0)) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(forward_demodulation,[],[f3230,f302]) ).

fof(f3230,plain,
    ( ! [X0,X1] :
        ( geq(vmul(X1,v1),vplus(X0,v1))
        | ~ greater(X1,vplus(v1,X0)) )
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f1938]) ).

fof(f2774,plain,
    ( ! [X2,X0,X1] :
        ( geq(vmul(X0,X2),vmul(X1,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_146 ),
    inference(avatar_component_clause,[],[f2773]) ).

fof(f82655,plain,
    ( spl4_903
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3234,f2773,f1937,f301,f82653]) ).

fof(f82653,plain,
    ( spl4_903
  <=> ! [X0,X1] :
        ( geq(vplus(X0,v1),X1)
        | ~ greater(vplus(v1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_903])]) ).

fof(f3234,plain,
    ( ! [X0,X1] :
        ( geq(vplus(X0,v1),X1)
        | ~ greater(vplus(v1,X0),X1) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(forward_demodulation,[],[f3220,f302]) ).

fof(f3220,plain,
    ( ! [X0,X1] :
        ( geq(vplus(X0,v1),vmul(X1,v1))
        | ~ greater(vplus(v1,X0),X1) )
    | ~ spl4_119
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f1938]) ).

fof(f82651,plain,
    ( spl4_902
    | ~ spl4_25
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3224,f2773,f377,f82649]) ).

fof(f82649,plain,
    ( spl4_902
  <=> ! [X2,X0,X1] :
        ( geq(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_902])]) ).

fof(f3224,plain,
    ( ! [X2,X0,X1] :
        ( geq(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f378]) ).

fof(f82647,plain,
    ( spl4_901
    | ~ spl4_25
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3214,f2773,f377,f82645]) ).

fof(f82645,plain,
    ( spl4_901
  <=> ! [X2,X0,X1] :
        ( geq(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_901])]) ).

fof(f3214,plain,
    ( ! [X2,X0,X1] :
        ( geq(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_25
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f378]) ).

fof(f82643,plain,
    ( spl4_900
    | ~ spl4_19
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3212,f2773,f340,f82641]) ).

fof(f82641,plain,
    ( spl4_900
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vmul(X1,X2),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_900])]) ).

fof(f3212,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vmul(X1,X2),vmul(X0,X2)) )
    | ~ spl4_19
    | ~ spl4_146 ),
    inference(resolution,[],[f2774,f341]) ).

fof(f82639,plain,
    ( spl4_899
    | ~ spl4_26
    | ~ spl4_144 ),
    inference(avatar_split_clause,[],[f3156,f2760,f381,f82637]) ).

fof(f82637,plain,
    ( spl4_899
  <=> ! [X2,X0,X1] :
        ( less(vplus(X1,X2),vplus(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_899])]) ).

fof(f3156,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X2),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_144 ),
    inference(superposition,[],[f2761,f382]) ).

fof(f82635,plain,
    ( spl4_112
    | ~ spl4_20
    | ~ spl4_311 ),
    inference(avatar_split_clause,[],[f18284,f17700,f344,f1897]) ).

fof(f1897,plain,
    ( spl4_112
  <=> greater(vd517,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_112])]) ).

fof(f18284,plain,
    ( greater(vd517,vd519)
    | ~ spl4_20
    | ~ spl4_311 ),
    inference(resolution,[],[f17702,f345]) ).

fof(f82634,plain,
    ( spl4_898
    | ~ spl4_26
    | ~ spl4_143 ),
    inference(avatar_split_clause,[],[f3119,f2756,f381,f82632]) ).

fof(f82632,plain,
    ( spl4_898
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_898])]) ).

fof(f3119,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_143 ),
    inference(superposition,[],[f2757,f382]) ).

fof(f82630,plain,
    ( spl4_897
    | ~ spl4_26
    | ~ spl4_143 ),
    inference(avatar_split_clause,[],[f3105,f2756,f381,f82628]) ).

fof(f82628,plain,
    ( spl4_897
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_897])]) ).

fof(f3105,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_26
    | ~ spl4_143 ),
    inference(superposition,[],[f2757,f382]) ).

fof(f82626,plain,
    ( spl4_896
    | ~ spl4_26
    | ~ spl4_142 ),
    inference(avatar_split_clause,[],[f3083,f2752,f381,f82624]) ).

fof(f82624,plain,
    ( spl4_896
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_896])]) ).

fof(f3083,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X0,X2) )
    | ~ spl4_26
    | ~ spl4_142 ),
    inference(superposition,[],[f2753,f382]) ).

fof(f82622,plain,
    ( spl4_895
    | ~ spl4_26
    | ~ spl4_142 ),
    inference(avatar_split_clause,[],[f3069,f2752,f381,f82620]) ).

fof(f82620,plain,
    ( spl4_895
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_895])]) ).

fof(f3069,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_142 ),
    inference(superposition,[],[f2753,f382]) ).

fof(f82618,plain,
    ( spl4_894
    | ~ spl4_26
    | ~ spl4_141 ),
    inference(avatar_split_clause,[],[f3049,f2748,f381,f82616]) ).

fof(f82616,plain,
    ( spl4_894
  <=> ! [X2,X0,X1] :
        ( leq(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_894])]) ).

fof(f3049,plain,
    ( ! [X2,X0,X1] :
        ( leq(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_141 ),
    inference(superposition,[],[f2749,f382]) ).

fof(f82614,plain,
    ( spl4_893
    | ~ spl4_26
    | ~ spl4_141 ),
    inference(avatar_split_clause,[],[f3035,f2748,f381,f82612]) ).

fof(f82612,plain,
    ( spl4_893
  <=> ! [X2,X0,X1] :
        ( leq(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_893])]) ).

fof(f3035,plain,
    ( ! [X2,X0,X1] :
        ( leq(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_26
    | ~ spl4_141 ),
    inference(superposition,[],[f2749,f382]) ).

fof(f82610,plain,
    ( spl4_892
    | ~ spl4_18
    | ~ spl4_141 ),
    inference(avatar_split_clause,[],[f3032,f2748,f336,f82608]) ).

fof(f82608,plain,
    ( spl4_892
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | geq(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_892])]) ).

fof(f3032,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | geq(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_18
    | ~ spl4_141 ),
    inference(resolution,[],[f2749,f337]) ).

fof(f82606,plain,
    ( spl4_891
    | ~ spl4_25
    | ~ spl4_139 ),
    inference(avatar_split_clause,[],[f2982,f2740,f377,f82604]) ).

fof(f82604,plain,
    ( spl4_891
  <=> ! [X2,X0,X1] :
        ( less(vmul(X1,X2),vmul(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_891])]) ).

fof(f2740,plain,
    ( spl4_139
  <=> ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_139])]) ).

fof(f2982,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X2),vmul(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_139 ),
    inference(superposition,[],[f2741,f378]) ).

fof(f2741,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_139 ),
    inference(avatar_component_clause,[],[f2740]) ).

fof(f82602,plain,
    ( spl4_890
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2962,f2736,f1937,f301,f82600]) ).

fof(f82600,plain,
    ( spl4_890
  <=> ! [X0,X1] :
        ( ~ greater(X1,vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_890])]) ).

fof(f2736,plain,
    ( spl4_138
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vmul(X0,X2),vmul(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_138])]) ).

fof(f2962,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(forward_demodulation,[],[f2956,f302]) ).

fof(f2956,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X1,v1),vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f1938]) ).

fof(f2737,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X2),vmul(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_138 ),
    inference(avatar_component_clause,[],[f2736]) ).

fof(f82598,plain,
    ( spl4_889
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2960,f2736,f1937,f301,f82596]) ).

fof(f82596,plain,
    ( spl4_889
  <=> ! [X0,X1] :
        ( ~ greater(vplus(X0,v1),X1)
        | ~ less(vplus(v1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_889])]) ).

fof(f2960,plain,
    ( ! [X0,X1] :
        ( ~ greater(vplus(X0,v1),X1)
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(forward_demodulation,[],[f2946,f302]) ).

fof(f2946,plain,
    ( ! [X0,X1] :
        ( ~ greater(vplus(X0,v1),vmul(X1,v1))
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_119
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f1938]) ).

fof(f82584,plain,
    ( spl4_888
    | ~ spl4_25
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2950,f2736,f377,f82582]) ).

fof(f82582,plain,
    ( spl4_888
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_888])]) ).

fof(f2950,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f378]) ).

fof(f82580,plain,
    ( spl4_887
    | ~ spl4_25
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2940,f2736,f377,f82578]) ).

fof(f82578,plain,
    ( spl4_887
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_887])]) ).

fof(f2940,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_25
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f378]) ).

fof(f82576,plain,
    ( spl4_886
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2928,f2732,f1937,f301,f82574]) ).

fof(f82574,plain,
    ( spl4_886
  <=> ! [X0,X1] :
        ( greater(X1,vplus(X0,v1))
        | ~ less(vplus(v1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_886])]) ).

fof(f2732,plain,
    ( spl4_137
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vmul(X1,X2),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_137])]) ).

fof(f2928,plain,
    ( ! [X0,X1] :
        ( greater(X1,vplus(X0,v1))
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(forward_demodulation,[],[f2922,f302]) ).

fof(f2922,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,v1),vplus(X0,v1))
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f1938]) ).

fof(f2733,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),vmul(X0,X2))
        | ~ less(X0,X1) )
    | ~ spl4_137 ),
    inference(avatar_component_clause,[],[f2732]) ).

fof(f82572,plain,
    ( spl4_885
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2926,f2732,f1937,f301,f82570]) ).

fof(f82570,plain,
    ( spl4_885
  <=> ! [X0,X1] :
        ( greater(vplus(X0,v1),X1)
        | ~ less(X1,vplus(v1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_885])]) ).

fof(f2926,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X0,v1),X1)
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(forward_demodulation,[],[f2912,f302]) ).

fof(f2912,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X0,v1),vmul(X1,v1))
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_119
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f1938]) ).

fof(f82568,plain,
    ( spl4_884
    | ~ spl4_25
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2916,f2732,f377,f82566]) ).

fof(f82566,plain,
    ( spl4_884
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_884])]) ).

fof(f2916,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X0,X2) )
    | ~ spl4_25
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f378]) ).

fof(f82564,plain,
    ( spl4_883
    | ~ spl4_25
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2906,f2732,f377,f82562]) ).

fof(f82562,plain,
    ( spl4_883
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_883])]) ).

fof(f2906,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f378]) ).

fof(f82560,plain,
    ( spl4_882
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2899,f2728,f1937,f301,f82558]) ).

fof(f82558,plain,
    ( spl4_882
  <=> ! [X0,X1] :
        ( leq(X1,vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_882])]) ).

fof(f2728,plain,
    ( spl4_136
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vmul(X0,X2),vmul(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_136])]) ).

fof(f2899,plain,
    ( ! [X0,X1] :
        ( leq(X1,vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(forward_demodulation,[],[f2893,f302]) ).

fof(f2893,plain,
    ( ! [X0,X1] :
        ( leq(vmul(X1,v1),vplus(X0,v1))
        | ~ less(X1,vplus(v1,X0)) )
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f1938]) ).

fof(f2729,plain,
    ( ! [X2,X0,X1] :
        ( leq(vmul(X0,X2),vmul(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_136 ),
    inference(avatar_component_clause,[],[f2728]) ).

fof(f82556,plain,
    ( spl4_881
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2897,f2728,f1937,f301,f82554]) ).

fof(f82554,plain,
    ( spl4_881
  <=> ! [X0,X1] :
        ( leq(vplus(X0,v1),X1)
        | ~ less(vplus(v1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_881])]) ).

fof(f2897,plain,
    ( ! [X0,X1] :
        ( leq(vplus(X0,v1),X1)
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_10
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(forward_demodulation,[],[f2883,f302]) ).

fof(f2883,plain,
    ( ! [X0,X1] :
        ( leq(vplus(X0,v1),vmul(X1,v1))
        | ~ less(vplus(v1,X0),X1) )
    | ~ spl4_119
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f1938]) ).

fof(f82552,plain,
    ( spl4_880
    | ~ spl4_25
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2887,f2728,f377,f82550]) ).

fof(f82550,plain,
    ( spl4_880
  <=> ! [X2,X0,X1] :
        ( leq(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_880])]) ).

fof(f2887,plain,
    ( ! [X2,X0,X1] :
        ( leq(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f378]) ).

fof(f82548,plain,
    ( spl4_879
    | ~ spl4_25
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2877,f2728,f377,f82546]) ).

fof(f82546,plain,
    ( spl4_879
  <=> ! [X2,X0,X1] :
        ( leq(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_879])]) ).

fof(f2877,plain,
    ( ! [X2,X0,X1] :
        ( leq(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_25
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f378]) ).

fof(f82539,plain,
    ( spl4_878
    | ~ spl4_18
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2875,f2728,f336,f82537]) ).

fof(f82537,plain,
    ( spl4_878
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | geq(vmul(X1,X2),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_878])]) ).

fof(f2875,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | geq(vmul(X1,X2),vmul(X0,X2)) )
    | ~ spl4_18
    | ~ spl4_136 ),
    inference(resolution,[],[f2729,f337]) ).

fof(f82535,plain,
    ( spl4_877
    | ~ spl4_110
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2575,f1974,f1724,f82533]) ).

fof(f82533,plain,
    ( spl4_877
  <=> ! [X0] :
        ( ~ greater(vplus(X0,X0),vplus(v1,v1))
        | greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_877])]) ).

fof(f1724,plain,
    ( spl4_110
  <=> ! [X0,X1] :
        ( ~ greater(vmul(X1,X0),X0)
        | greater(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_110])]) ).

fof(f2575,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,X0),vplus(v1,v1))
        | greater(X0,v1) )
    | ~ spl4_110
    | ~ spl4_128 ),
    inference(superposition,[],[f1725,f1975]) ).

fof(f1725,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X1,X0),X0)
        | greater(X1,v1) )
    | ~ spl4_110 ),
    inference(avatar_component_clause,[],[f1724]) ).

fof(f82531,plain,
    ( spl4_876
    | ~ spl4_109
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2574,f1974,f1720,f82529]) ).

fof(f82529,plain,
    ( spl4_876
  <=> ! [X0] :
        ( ~ greater(vplus(v1,v1),vplus(X0,X0))
        | greater(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_876])]) ).

fof(f2574,plain,
    ( ! [X0] :
        ( ~ greater(vplus(v1,v1),vplus(X0,X0))
        | greater(v1,X0) )
    | ~ spl4_109
    | ~ spl4_128 ),
    inference(superposition,[],[f1721,f1975]) ).

fof(f82527,plain,
    ( spl4_875
    | ~ spl4_108
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2573,f1974,f1716,f82525]) ).

fof(f82525,plain,
    ( spl4_875
  <=> ! [X0] :
        ( ~ less(vplus(X0,X0),vplus(v1,v1))
        | less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_875])]) ).

fof(f1716,plain,
    ( spl4_108
  <=> ! [X0,X1] :
        ( ~ less(vmul(X1,X0),X0)
        | less(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_108])]) ).

fof(f2573,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,X0),vplus(v1,v1))
        | less(X0,v1) )
    | ~ spl4_108
    | ~ spl4_128 ),
    inference(superposition,[],[f1717,f1975]) ).

fof(f1717,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X1,X0),X0)
        | less(X1,v1) )
    | ~ spl4_108 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f82523,plain,
    ( spl4_874
    | ~ spl4_107
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2572,f1974,f1712,f82521]) ).

fof(f82521,plain,
    ( spl4_874
  <=> ! [X0] :
        ( ~ less(vplus(v1,v1),vplus(X0,X0))
        | less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_874])]) ).

fof(f1712,plain,
    ( spl4_107
  <=> ! [X0,X1] :
        ( ~ less(X0,vmul(X1,X0))
        | less(v1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).

fof(f2572,plain,
    ( ! [X0] :
        ( ~ less(vplus(v1,v1),vplus(X0,X0))
        | less(v1,X0) )
    | ~ spl4_107
    | ~ spl4_128 ),
    inference(superposition,[],[f1713,f1975]) ).

fof(f1713,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vmul(X1,X0))
        | less(v1,X1) )
    | ~ spl4_107 ),
    inference(avatar_component_clause,[],[f1712]) ).

fof(f82519,plain,
    ( spl4_873
    | ~ spl4_104
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2571,f1974,f1699,f82517]) ).

fof(f82517,plain,
    ( spl4_873
  <=> ! [X0] :
        ( vplus(v1,v1) != vplus(X0,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_873])]) ).

fof(f1699,plain,
    ( spl4_104
  <=> ! [X0,X1] :
        ( vmul(X1,X0) != X0
        | v1 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_104])]) ).

fof(f2571,plain,
    ( ! [X0] :
        ( vplus(v1,v1) != vplus(X0,X0)
        | v1 = X0 )
    | ~ spl4_104
    | ~ spl4_128 ),
    inference(superposition,[],[f1700,f1975]) ).

fof(f1700,plain,
    ( ! [X0,X1] :
        ( vmul(X1,X0) != X0
        | v1 = X1 )
    | ~ spl4_104 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f82515,plain,
    ( spl4_872
    | ~ spl4_103
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2570,f1974,f1695,f82513]) ).

fof(f82513,plain,
    ( spl4_872
  <=> ! [X0] :
        ( greater(vplus(X0,X0),vplus(v1,v1))
        | ~ greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_872])]) ).

fof(f1695,plain,
    ( spl4_103
  <=> ! [X0,X1] :
        ( greater(vmul(X1,X0),X0)
        | ~ greater(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_103])]) ).

fof(f2570,plain,
    ( ! [X0] :
        ( greater(vplus(X0,X0),vplus(v1,v1))
        | ~ greater(X0,v1) )
    | ~ spl4_103
    | ~ spl4_128 ),
    inference(superposition,[],[f1696,f1975]) ).

fof(f1696,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,X0),X0)
        | ~ greater(X1,v1) )
    | ~ spl4_103 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f82511,plain,
    ( spl4_871
    | ~ spl4_100
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2568,f1974,f1683,f82509]) ).

fof(f82509,plain,
    ( spl4_871
  <=> ! [X0] :
        ( less(vplus(X0,X0),vplus(v1,v1))
        | ~ less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_871])]) ).

fof(f2568,plain,
    ( ! [X0] :
        ( less(vplus(X0,X0),vplus(v1,v1))
        | ~ less(X0,v1) )
    | ~ spl4_100
    | ~ spl4_128 ),
    inference(superposition,[],[f1684,f1975]) ).

fof(f82507,plain,
    ( spl4_870
    | ~ spl4_99
    | ~ spl4_128 ),
    inference(avatar_split_clause,[],[f2567,f1974,f1679,f82505]) ).

fof(f82505,plain,
    ( spl4_870
  <=> ! [X0] :
        ( less(vplus(v1,v1),vplus(X0,X0))
        | ~ less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_870])]) ).

fof(f2567,plain,
    ( ! [X0] :
        ( less(vplus(v1,v1),vplus(X0,X0))
        | ~ less(v1,X0) )
    | ~ spl4_99
    | ~ spl4_128 ),
    inference(superposition,[],[f1680,f1975]) ).

fof(f82503,plain,
    ( spl4_869
    | ~ spl4_38
    | ~ spl4_124 ),
    inference(avatar_split_clause,[],[f2386,f1958,f456,f82501]) ).

fof(f82501,plain,
    ( spl4_869
  <=> ! [X2,X0,X1] :
        ( v1 != vplus(vplus(X1,X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_869])]) ).

fof(f1958,plain,
    ( spl4_124
  <=> ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_124])]) ).

fof(f2386,plain,
    ( ! [X2,X0,X1] :
        ( v1 != vplus(vplus(X1,X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_124 ),
    inference(superposition,[],[f1959,f457]) ).

fof(f1959,plain,
    ( ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2)
    | ~ spl4_124 ),
    inference(avatar_component_clause,[],[f1958]) ).

fof(f82490,plain,
    ( spl4_868
    | ~ spl4_38
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2131,f1929,f456,f82488]) ).

fof(f82488,plain,
    ( spl4_868
  <=> ! [X0,X1] :
        ( less(vplus(X1,v1),vplus(X1,X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_868])]) ).

fof(f2131,plain,
    ( ! [X0,X1] :
        ( less(vplus(X1,v1),vplus(X1,X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_117 ),
    inference(superposition,[],[f1930,f457]) ).

fof(f82486,plain,
    ( spl4_867
    | ~ spl4_38
    | ~ spl4_115 ),
    inference(avatar_split_clause,[],[f2050,f1921,f456,f82484]) ).

fof(f82484,plain,
    ( spl4_867
  <=> ! [X0,X1] :
        ( greater(vplus(X1,X0),vplus(X1,v1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_867])]) ).

fof(f2050,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X1,X0),vplus(X1,v1))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_115 ),
    inference(superposition,[],[f1922,f457]) ).

fof(f82482,plain,
    ( spl4_866
    | ~ spl4_97
    | ~ spl4_108 ),
    inference(avatar_split_clause,[],[f1876,f1716,f1671,f82480]) ).

fof(f82480,plain,
    ( spl4_866
  <=> ! [X2,X0,X1] :
        ( less(X0,v1)
        | ~ less(vmul(X0,vplus(X1,X2)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_866])]) ).

fof(f1876,plain,
    ( ! [X2,X0,X1] :
        ( less(X0,v1)
        | ~ less(vmul(X0,vplus(X1,X2)),X1) )
    | ~ spl4_97
    | ~ spl4_108 ),
    inference(resolution,[],[f1717,f1672]) ).

fof(f82478,plain,
    ( spl4_865
    | ~ spl4_96
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1814,f1683,f1667,f82476]) ).

fof(f82476,plain,
    ( spl4_865
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,vplus(v1,X1)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_865])]) ).

fof(f1667,plain,
    ( spl4_96
  <=> ! [X0,X1] :
        ( ~ less(X1,vplus(v1,X0))
        | leq(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).

fof(f1814,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,vplus(v1,X1)),X1) )
    | ~ spl4_96
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f1668]) ).

fof(f1668,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,vplus(v1,X0))
        | leq(X1,X0) )
    | ~ spl4_96 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f82474,plain,
    ( spl4_864
    | ~ spl4_29
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1813,f1683,f413,f82472]) ).

fof(f82472,plain,
    ( spl4_864
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,vplus(X1,v1)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_864])]) ).

fof(f413,plain,
    ( spl4_29
  <=> ! [X0,X1] :
        ( leq(X0,X1)
        | ~ less(X0,vplus(X1,v1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f1813,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,vplus(X1,v1)),X1) )
    | ~ spl4_29
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f414]) ).

fof(f414,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vplus(X1,v1))
        | leq(X0,X1) )
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f82470,plain,
    ( spl4_863
    | ~ spl4_38
    | ~ spl4_96 ),
    inference(avatar_split_clause,[],[f1755,f1667,f456,f82468]) ).

fof(f82468,plain,
    ( spl4_863
  <=> ! [X0,X1] :
        ( ~ less(X1,X0)
        | leq(X1,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_863])]) ).

fof(f1755,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | leq(X1,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_96 ),
    inference(superposition,[],[f1668,f457]) ).

fof(f82466,plain,
    ( spl4_862
    | ~ spl4_38
    | ~ spl4_95 ),
    inference(avatar_split_clause,[],[f1743,f1663,f456,f82464]) ).

fof(f82464,plain,
    ( spl4_862
  <=> ! [X0,X1] :
        ( geq(X1,X0)
        | ~ greater(X1,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_862])]) ).

fof(f1663,plain,
    ( spl4_95
  <=> ! [X0,X1] :
        ( geq(X1,vplus(v1,X0))
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).

fof(f1743,plain,
    ( ! [X0,X1] :
        ( geq(X1,X0)
        | ~ greater(X1,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_95 ),
    inference(superposition,[],[f1664,f457]) ).

fof(f1664,plain,
    ( ! [X0,X1] :
        ( geq(X1,vplus(v1,X0))
        | ~ greater(X1,X0) )
    | ~ spl4_95 ),
    inference(avatar_component_clause,[],[f1663]) ).

fof(f82462,plain,
    ( spl4_861
    | ~ spl4_41
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f1318,f1291,f487,f82460]) ).

fof(f82460,plain,
    ( spl4_861
  <=> ! [X0] :
        ( v1 = X0
        | vplus(v1,sK2(X0,v1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_861])]) ).

fof(f1291,plain,
    ( spl4_76
  <=> ! [X0] :
        ( less(v1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( v1 = X0
        | vplus(v1,sK2(X0,v1)) = X0 )
    | ~ spl4_41
    | ~ spl4_76 ),
    inference(resolution,[],[f1292,f488]) ).

fof(f1292,plain,
    ( ! [X0] :
        ( less(v1,X0)
        | v1 = X0 )
    | ~ spl4_76 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f82458,plain,
    ( spl4_860
    | ~ spl4_43
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1314,f1287,f499,f82456]) ).

fof(f82456,plain,
    ( spl4_860
  <=> ! [X0] :
        ( v1 = X0
        | vplus(v1,sK3(v1,X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_860])]) ).

fof(f1314,plain,
    ( ! [X0] :
        ( v1 = X0
        | vplus(v1,sK3(v1,X0)) = X0 )
    | ~ spl4_43
    | ~ spl4_75 ),
    inference(resolution,[],[f1288,f500]) ).

fof(f78538,plain,
    ( ~ spl4_3
    | ~ spl4_760 ),
    inference(avatar_contradiction_clause,[],[f78528]) ).

fof(f78528,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_760 ),
    inference(resolution,[],[f65477,f274]) ).

fof(f65477,plain,
    ( less(vd520,vd520)
    | ~ spl4_760 ),
    inference(avatar_component_clause,[],[f65475]) ).

fof(f65475,plain,
    ( spl4_760
  <=> less(vd520,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_760])]) ).

fof(f71192,plain,
    ( spl4_442
    | ~ spl4_21
    | ~ spl4_452 ),
    inference(avatar_split_clause,[],[f46490,f36218,f348,f36140]) ).

fof(f348,plain,
    ( spl4_21
  <=> ! [X0,X1] :
        ( less(X1,X0)
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f46490,plain,
    ( less(v1,vd518)
    | ~ spl4_21
    | ~ spl4_452 ),
    inference(resolution,[],[f36219,f349]) ).

fof(f349,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,X1)
        | less(X1,X0) )
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f70717,plain,
    ( spl4_859
    | ~ spl4_107
    | ~ spl4_283 ),
    inference(avatar_split_clause,[],[f12861,f8606,f1712,f70715]) ).

fof(f70715,plain,
    ( spl4_859
  <=> ! [X0] :
        ( ~ less(v1,vmul(X0,X0))
        | less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_859])]) ).

fof(f8606,plain,
    ( spl4_283
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | ~ less(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_283])]) ).

fof(f12861,plain,
    ( ! [X0] :
        ( ~ less(v1,vmul(X0,X0))
        | less(v1,X0) )
    | ~ spl4_107
    | ~ spl4_283 ),
    inference(resolution,[],[f8607,f1713]) ).

fof(f8607,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | ~ less(X2,vmul(X0,X1)) )
    | ~ spl4_283 ),
    inference(avatar_component_clause,[],[f8606]) ).

fof(f70713,plain,
    ( spl4_858
    | ~ spl4_25
    | ~ spl4_107 ),
    inference(avatar_split_clause,[],[f1869,f1712,f377,f70711]) ).

fof(f70711,plain,
    ( spl4_858
  <=> ! [X0,X1] :
        ( ~ less(X1,vmul(X1,X0))
        | less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_858])]) ).

fof(f1869,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,vmul(X1,X0))
        | less(v1,X0) )
    | ~ spl4_25
    | ~ spl4_107 ),
    inference(superposition,[],[f1713,f378]) ).

fof(f70699,plain,
    ( spl4_519
    | ~ spl4_21
    | ~ spl4_518 ),
    inference(avatar_split_clause,[],[f39161,f37708,f348,f37713]) ).

fof(f37713,plain,
    ( spl4_519
  <=> less(v1,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_519])]) ).

fof(f37708,plain,
    ( spl4_518
  <=> greater(vd517,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_518])]) ).

fof(f39161,plain,
    ( less(v1,vd517)
    | ~ spl4_21
    | ~ spl4_518 ),
    inference(resolution,[],[f37709,f349]) ).

fof(f37709,plain,
    ( greater(vd517,v1)
    | ~ spl4_518 ),
    inference(avatar_component_clause,[],[f37708]) ).

fof(f69052,plain,
    ( ~ spl4_3
    | ~ spl4_756 ),
    inference(avatar_contradiction_clause,[],[f69031]) ).

fof(f69031,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_756 ),
    inference(resolution,[],[f65051,f274]) ).

fof(f65051,plain,
    ( ! [X0] : less(v1,X0)
    | ~ spl4_756 ),
    inference(avatar_component_clause,[],[f65050]) ).

fof(f65050,plain,
    ( spl4_756
  <=> ! [X0] : less(v1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_756])]) ).

fof(f65959,plain,
    ( spl4_857
    | ~ spl4_181
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37475,f37391,f3890,f65957]) ).

fof(f65957,plain,
    ( spl4_857
  <=> ! [X0,X1] : vmul(X0,vd520) != vplus(vmul(X0,vd519),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_857])]) ).

fof(f37475,plain,
    ( ! [X0,X1] : vmul(X0,vd520) != vplus(vmul(X0,vd519),X1)
    | ~ spl4_181
    | ~ spl4_515 ),
    inference(superposition,[],[f3891,f37393]) ).

fof(f65955,plain,
    ( spl4_856
    | ~ spl4_173
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37474,f37391,f3853,f65953]) ).

fof(f65953,plain,
    ( spl4_856
  <=> ! [X0,X1] : vplus(X0,vd520) != vplus(vplus(X0,vd519),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_856])]) ).

fof(f37474,plain,
    ( ! [X0,X1] : vplus(X0,vd520) != vplus(vplus(X0,vd519),X1)
    | ~ spl4_173
    | ~ spl4_515 ),
    inference(superposition,[],[f3854,f37393]) ).

fof(f65951,plain,
    ( spl4_855
    | ~ spl4_129
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37438,f37391,f1978,f65949]) ).

fof(f65949,plain,
    ( spl4_855
  <=> ! [X0] : vmul(X0,vd519) != vmul(X0,sK3(vd520,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_855])]) ).

fof(f37438,plain,
    ( ! [X0] : vmul(X0,vd519) != vmul(X0,sK3(vd520,vd519))
    | ~ spl4_129
    | ~ spl4_515 ),
    inference(superposition,[],[f1979,f37393]) ).

fof(f65947,plain,
    ( spl4_854
    | ~ spl4_143
    | ~ spl4_222 ),
    inference(avatar_split_clause,[],[f8065,f6535,f2756,f65945]) ).

fof(f65945,plain,
    ( spl4_854
  <=> ! [X2,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X1,X2)
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_854])]) ).

fof(f6535,plain,
    ( spl4_222
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(X1,X0))
        | ~ geq(X2,X0)
        | ~ greater(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_222])]) ).

fof(f8065,plain,
    ( ! [X2,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X1,X2)
        | ~ less(X0,X2) )
    | ~ spl4_143
    | ~ spl4_222 ),
    inference(resolution,[],[f6536,f2757]) ).

fof(f6536,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X1,X0))
        | ~ geq(X2,X0)
        | ~ greater(X3,X1) )
    | ~ spl4_222 ),
    inference(avatar_component_clause,[],[f6535]) ).

fof(f65943,plain,
    ( spl4_853
    | ~ spl4_143
    | ~ spl4_220 ),
    inference(avatar_split_clause,[],[f7997,f6526,f2756,f65941]) ).

fof(f65941,plain,
    ( spl4_853
  <=> ! [X2,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X0)
        | ~ less(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_853])]) ).

fof(f6526,plain,
    ( spl4_220
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_220])]) ).

fof(f7997,plain,
    ( ! [X2,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X0)
        | ~ less(X2,X1) )
    | ~ spl4_143
    | ~ spl4_220 ),
    inference(resolution,[],[f6527,f2757]) ).

fof(f6527,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_220 ),
    inference(avatar_component_clause,[],[f6526]) ).

fof(f65939,plain,
    ( spl4_852
    | ~ spl4_159
    | ~ spl4_219 ),
    inference(avatar_split_clause,[],[f7927,f6522,f2826,f65937]) ).

fof(f65937,plain,
    ( spl4_852
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X1,X2)
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_852])]) ).

fof(f6522,plain,
    ( spl4_219
  <=> ! [X0,X3,X2,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_219])]) ).

fof(f7927,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X1,X2)
        | less(X2,X0) )
    | ~ spl4_159
    | ~ spl4_219 ),
    inference(resolution,[],[f6523,f2827]) ).

fof(f6523,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X1,X3),vplus(X0,X2))
        | ~ greater(X2,X3)
        | ~ geq(X0,X1) )
    | ~ spl4_219 ),
    inference(avatar_component_clause,[],[f6522]) ).

fof(f65935,plain,
    ( spl4_851
    | ~ spl4_158
    | ~ spl4_219 ),
    inference(avatar_split_clause,[],[f7926,f6522,f2822,f65933]) ).

fof(f65933,plain,
    ( spl4_851
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X0)
        | less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_851])]) ).

fof(f7926,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X0)
        | less(X1,X2) )
    | ~ spl4_158
    | ~ spl4_219 ),
    inference(resolution,[],[f6523,f2823]) ).

fof(f65931,plain,
    ( spl4_850
    | ~ spl4_138
    | ~ spl4_214 ),
    inference(avatar_split_clause,[],[f7635,f6502,f2736,f65929]) ).

fof(f65929,plain,
    ( spl4_850
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X0)
        | ~ less(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_850])]) ).

fof(f6502,plain,
    ( spl4_214
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_214])]) ).

fof(f7635,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X0)
        | ~ less(X2,X1) )
    | ~ spl4_138
    | ~ spl4_214 ),
    inference(resolution,[],[f6503,f2737]) ).

fof(f6503,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_214 ),
    inference(avatar_component_clause,[],[f6502]) ).

fof(f65927,plain,
    ( spl4_849
    | ~ spl4_155
    | ~ spl4_213 ),
    inference(avatar_split_clause,[],[f7597,f6498,f2809,f65925]) ).

fof(f65925,plain,
    ( spl4_849
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X0)
        | less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_849])]) ).

fof(f6498,plain,
    ( spl4_213
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vmul(X1,X3),vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_213])]) ).

fof(f7597,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X0)
        | less(X1,X2) )
    | ~ spl4_155
    | ~ spl4_213 ),
    inference(resolution,[],[f6499,f2810]) ).

fof(f6499,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X1,X3),vmul(X0,X2))
        | ~ greater(X2,X3)
        | ~ greater(X0,X1) )
    | ~ spl4_213 ),
    inference(avatar_component_clause,[],[f6498]) ).

fof(f65915,plain,
    ( spl4_848
    | ~ spl4_7
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7436,f6478,f289,f65913]) ).

fof(f65913,plain,
    ( spl4_848
  <=> ! [X0,X1] : vplus(X1,X0) = vmul(v1,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_848])]) ).

fof(f6478,plain,
    ( spl4_209
  <=> ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X2),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_209])]) ).

fof(f7436,plain,
    ( ! [X0,X1] : vplus(X1,X0) = vmul(v1,vplus(X0,X1))
    | ~ spl4_7
    | ~ spl4_209 ),
    inference(forward_demodulation,[],[f7318,f290]) ).

fof(f7318,plain,
    ( ! [X0,X1] : vmul(v1,vplus(X0,X1)) = vplus(vmul(v1,X1),X0)
    | ~ spl4_7
    | ~ spl4_209 ),
    inference(superposition,[],[f6479,f290]) ).

fof(f6479,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X2),vmul(X0,X1))
    | ~ spl4_209 ),
    inference(avatar_component_clause,[],[f6478]) ).

fof(f65911,plain,
    ( spl4_847
    | ~ spl4_71
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7370,f6478,f1190,f65909]) ).

fof(f65909,plain,
    ( spl4_847
  <=> ! [X2,X0,X1] : geq(vmul(X0,vplus(X2,X1)),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_847])]) ).

fof(f1190,plain,
    ( spl4_71
  <=> ! [X0,X1] : geq(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f7370,plain,
    ( ! [X2,X0,X1] : geq(vmul(X0,vplus(X2,X1)),vmul(X0,X1))
    | ~ spl4_71
    | ~ spl4_209 ),
    inference(superposition,[],[f1191,f6479]) ).

fof(f1191,plain,
    ( ! [X0,X1] : geq(vplus(X0,X1),X0)
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f65907,plain,
    ( spl4_846
    | ~ spl4_70
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7369,f6478,f1186,f65905]) ).

fof(f65905,plain,
    ( spl4_846
  <=> ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X0,vplus(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_846])]) ).

fof(f1186,plain,
    ( spl4_70
  <=> ! [X0,X1] : leq(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

fof(f7369,plain,
    ( ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X0,vplus(X2,X1)))
    | ~ spl4_70
    | ~ spl4_209 ),
    inference(superposition,[],[f1187,f6479]) ).

fof(f1187,plain,
    ( ! [X0,X1] : leq(X0,vplus(X0,X1))
    | ~ spl4_70 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f65903,plain,
    ( spl4_845
    | ~ spl4_69
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7368,f6478,f1182,f65901]) ).

fof(f65901,plain,
    ( spl4_845
  <=> ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X0,vplus(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_845])]) ).

fof(f7368,plain,
    ( ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X0,vplus(X2,X1)))
    | ~ spl4_69
    | ~ spl4_209 ),
    inference(superposition,[],[f1183,f6479]) ).

fof(f65899,plain,
    ( spl4_844
    | ~ spl4_73
    | ~ spl4_208 ),
    inference(avatar_split_clause,[],[f7215,f6474,f1198,f65897]) ).

fof(f65897,plain,
    ( spl4_844
  <=> ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_844])]) ).

fof(f6474,plain,
    ( spl4_208
  <=> ! [X2,X0,X1] : vmul(X0,vplus(X2,X1)) = vplus(vmul(X0,X2),vmul(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_208])]) ).

fof(f7215,plain,
    ( ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X2,X0))
    | ~ spl4_73
    | ~ spl4_208 ),
    inference(superposition,[],[f1199,f6475]) ).

fof(f6475,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X2,X1)) = vplus(vmul(X0,X2),vmul(X1,X0))
    | ~ spl4_208 ),
    inference(avatar_component_clause,[],[f6474]) ).

fof(f65895,plain,
    ( spl4_843
    | ~ spl4_72
    | ~ spl4_208 ),
    inference(avatar_split_clause,[],[f7214,f6474,f1194,f65893]) ).

fof(f65893,plain,
    ( spl4_843
  <=> ! [X2,X0,X1] : less(vmul(X2,X0),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_843])]) ).

fof(f7214,plain,
    ( ! [X2,X0,X1] : less(vmul(X2,X0),vmul(X0,vplus(X1,X2)))
    | ~ spl4_72
    | ~ spl4_208 ),
    inference(superposition,[],[f1195,f6475]) ).

fof(f65891,plain,
    ( spl4_842
    | ~ spl4_8
    | ~ spl4_208 ),
    inference(avatar_split_clause,[],[f7183,f6474,f293,f65889]) ).

fof(f65889,plain,
    ( spl4_842
  <=> ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) != vmul(X2,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_842])]) ).

fof(f293,plain,
    ( spl4_8
  <=> ! [X0,X1] : vplus(X0,X1) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f7183,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) != vmul(X2,X0)
    | ~ spl4_8
    | ~ spl4_208 ),
    inference(superposition,[],[f294,f6475]) ).

fof(f294,plain,
    ( ! [X0,X1] : vplus(X0,X1) != X1
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f65887,plain,
    ( spl4_841
    | ~ spl4_71
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f7054,f6470,f1190,f65885]) ).

fof(f65885,plain,
    ( spl4_841
  <=> ! [X2,X0,X1] : geq(vmul(X1,vplus(X0,X2)),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_841])]) ).

fof(f6470,plain,
    ( spl4_207
  <=> ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X1,X0),vmul(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_207])]) ).

fof(f7054,plain,
    ( ! [X2,X0,X1] : geq(vmul(X1,vplus(X0,X2)),vmul(X0,X1))
    | ~ spl4_71
    | ~ spl4_207 ),
    inference(superposition,[],[f1191,f6471]) ).

fof(f6471,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X1,X0),vmul(X0,X2))
    | ~ spl4_207 ),
    inference(avatar_component_clause,[],[f6470]) ).

fof(f65883,plain,
    ( spl4_840
    | ~ spl4_70
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f7053,f6470,f1186,f65881]) ).

fof(f65881,plain,
    ( spl4_840
  <=> ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X1,vplus(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_840])]) ).

fof(f7053,plain,
    ( ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X1,vplus(X0,X2)))
    | ~ spl4_70
    | ~ spl4_207 ),
    inference(superposition,[],[f1187,f6471]) ).

fof(f65879,plain,
    ( spl4_839
    | ~ spl4_69
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f7052,f6470,f1182,f65877]) ).

fof(f65877,plain,
    ( spl4_839
  <=> ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X1,vplus(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_839])]) ).

fof(f7052,plain,
    ( ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X1,vplus(X0,X2)))
    | ~ spl4_69
    | ~ spl4_207 ),
    inference(superposition,[],[f1183,f6471]) ).

fof(f65875,plain,
    ( spl4_700
    | ~ spl4_21
    | ~ spl4_457 ),
    inference(avatar_split_clause,[],[f65651,f36255,f348,f56860]) ).

fof(f56860,plain,
    ( spl4_700
  <=> less(vd520,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_700])]) ).

fof(f36255,plain,
    ( spl4_457
  <=> greater(vd518,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_457])]) ).

fof(f65651,plain,
    ( less(vd520,vd518)
    | ~ spl4_21
    | ~ spl4_457 ),
    inference(resolution,[],[f36256,f349]) ).

fof(f36256,plain,
    ( greater(vd518,vd520)
    | ~ spl4_457 ),
    inference(avatar_component_clause,[],[f36255]) ).

fof(f65874,plain,
    ( spl4_838
    | ~ spl4_11
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f7026,f6470,f305,f65872]) ).

fof(f65872,plain,
    ( spl4_838
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vmul(X1,vplus(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_838])]) ).

fof(f305,plain,
    ( spl4_11
  <=> ! [X2,X0] : vplus(X0,X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f7026,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(X1,vplus(X0,X2))
    | ~ spl4_11
    | ~ spl4_207 ),
    inference(superposition,[],[f306,f6471]) ).

fof(f306,plain,
    ( ! [X2,X0] : vplus(X0,X2) != X0
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f65870,plain,
    ( spl4_837
    | ~ spl4_85
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5865,f3886,f1397,f65868]) ).

fof(f65868,plain,
    ( spl4_837
  <=> ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(X2,v1)) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_837])]) ).

fof(f3886,plain,
    ( spl4_180
  <=> ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_180])]) ).

fof(f5865,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(X2,v1)) != X1
    | ~ spl4_85
    | ~ spl4_180 ),
    inference(superposition,[],[f1398,f3887]) ).

fof(f3887,plain,
    ( ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1))
    | ~ spl4_180 ),
    inference(avatar_component_clause,[],[f3886]) ).

fof(f65866,plain,
    ( spl4_836
    | ~ spl4_83
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5864,f3886,f1389,f65864]) ).

fof(f65864,plain,
    ( spl4_836
  <=> ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(X2,v1)) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_836])]) ).

fof(f5864,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(X2,v1)) != X0
    | ~ spl4_83
    | ~ spl4_180 ),
    inference(superposition,[],[f1390,f3887]) ).

fof(f65862,plain,
    ( spl4_835
    | ~ spl4_85
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5818,f3886,f1397,f65860]) ).

fof(f65860,plain,
    ( spl4_835
  <=> ! [X2,X0,X1] : vplus(X2,vmul(X0,vplus(X1,v1))) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_835])]) ).

fof(f5818,plain,
    ( ! [X2,X0,X1] : vplus(X2,vmul(X0,vplus(X1,v1))) != X0
    | ~ spl4_85
    | ~ spl4_180 ),
    inference(superposition,[],[f1398,f3887]) ).

fof(f65858,plain,
    ( spl4_834
    | ~ spl4_79
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5816,f3886,f1325,f65856]) ).

fof(f65856,plain,
    ( spl4_834
  <=> ! [X2,X0,X1] : vplus(vmul(X0,vplus(X1,v1)),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_834])]) ).

fof(f5816,plain,
    ( ! [X2,X0,X1] : vplus(vmul(X0,vplus(X1,v1)),X2) != X0
    | ~ spl4_79
    | ~ spl4_180 ),
    inference(superposition,[],[f1326,f3887]) ).

fof(f65854,plain,
    ( spl4_833
    | ~ spl4_71
    | ~ spl4_177 ),
    inference(avatar_split_clause,[],[f5356,f3869,f1190,f65852]) ).

fof(f65852,plain,
    ( spl4_833
  <=> ! [X0,X1] : geq(vplus(v1,vplus(X1,X0)),vplus(v1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_833])]) ).

fof(f3869,plain,
    ( spl4_177
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_177])]) ).

fof(f5356,plain,
    ( ! [X0,X1] : geq(vplus(v1,vplus(X1,X0)),vplus(v1,X0))
    | ~ spl4_71
    | ~ spl4_177 ),
    inference(superposition,[],[f1191,f3870]) ).

fof(f3870,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0)
    | ~ spl4_177 ),
    inference(avatar_component_clause,[],[f3869]) ).

fof(f65850,plain,
    ( spl4_832
    | ~ spl4_69
    | ~ spl4_177 ),
    inference(avatar_split_clause,[],[f5354,f3869,f1182,f65848]) ).

fof(f65848,plain,
    ( spl4_832
  <=> ! [X0,X1] : ~ greater(vplus(v1,X0),vplus(v1,vplus(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_832])]) ).

fof(f5354,plain,
    ( ! [X0,X1] : ~ greater(vplus(v1,X0),vplus(v1,vplus(X1,X0)))
    | ~ spl4_69
    | ~ spl4_177 ),
    inference(superposition,[],[f1183,f3870]) ).

fof(f65846,plain,
    ( spl4_831
    | ~ spl4_71
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5041,f3857,f1190,f65844]) ).

fof(f65844,plain,
    ( spl4_831
  <=> ! [X0,X1] : geq(vmul(vplus(v1,X1),X0),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_831])]) ).

fof(f5041,plain,
    ( ! [X0,X1] : geq(vmul(vplus(v1,X1),X0),vmul(X0,X1))
    | ~ spl4_71
    | ~ spl4_174 ),
    inference(superposition,[],[f1191,f3858]) ).

fof(f65842,plain,
    ( spl4_830
    | ~ spl4_70
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5040,f3857,f1186,f65840]) ).

fof(f65840,plain,
    ( spl4_830
  <=> ! [X0,X1] : leq(vmul(X0,X1),vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_830])]) ).

fof(f5040,plain,
    ( ! [X0,X1] : leq(vmul(X0,X1),vmul(vplus(v1,X1),X0))
    | ~ spl4_70
    | ~ spl4_174 ),
    inference(superposition,[],[f1187,f3858]) ).

fof(f65838,plain,
    ( spl4_829
    | ~ spl4_69
    | ~ spl4_174 ),
    inference(avatar_split_clause,[],[f5039,f3857,f1182,f65836]) ).

fof(f65836,plain,
    ( spl4_829
  <=> ! [X0,X1] : ~ greater(vmul(X0,X1),vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_829])]) ).

fof(f5039,plain,
    ( ! [X0,X1] : ~ greater(vmul(X0,X1),vmul(vplus(v1,X1),X0))
    | ~ spl4_69
    | ~ spl4_174 ),
    inference(superposition,[],[f1183,f3858]) ).

fof(f65828,plain,
    ( spl4_828
    | ~ spl4_92
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4886,f3849,f1426,f65826]) ).

fof(f65826,plain,
    ( spl4_828
  <=> ! [X2,X0,X1] : vmul(X2,vplus(X0,vplus(X1,v1))) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_828])]) ).

fof(f4886,plain,
    ( ! [X2,X0,X1] : vmul(X2,vplus(X0,vplus(X1,v1))) != X2
    | ~ spl4_92
    | ~ spl4_172 ),
    inference(superposition,[],[f1427,f3850]) ).

fof(f65824,plain,
    ( spl4_827
    | ~ spl4_86
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4883,f3849,f1401,f65822]) ).

fof(f65822,plain,
    ( spl4_827
  <=> ! [X2,X0,X1] : vmul(vplus(X0,vplus(X1,v1)),X2) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_827])]) ).

fof(f4883,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,vplus(X1,v1)),X2) != X2
    | ~ spl4_86
    | ~ spl4_172 ),
    inference(superposition,[],[f1402,f3850]) ).

fof(f65820,plain,
    ( spl4_826
    | ~ spl4_27
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4683,f3849,f385,f65818]) ).

fof(f65818,plain,
    ( spl4_826
  <=> ! [X2,X0,X1,X3] : vplus(vplus(X2,vplus(X0,X1)),X3) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_826])]) ).

fof(f4683,plain,
    ( ! [X2,X3,X0,X1] : vplus(vplus(X2,vplus(X0,X1)),X3) != X0
    | ~ spl4_27
    | ~ spl4_172 ),
    inference(superposition,[],[f386,f3850]) ).

fof(f65816,plain,
    ( spl4_825
    | ~ spl4_8
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4677,f3849,f293,f65814]) ).

fof(f65814,plain,
    ( spl4_825
  <=> ! [X2,X0,X1] : vplus(X1,X2) != vplus(X2,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_825])]) ).

fof(f4677,plain,
    ( ! [X2,X0,X1] : vplus(X1,X2) != vplus(X2,vplus(X0,X1))
    | ~ spl4_8
    | ~ spl4_172 ),
    inference(superposition,[],[f294,f3850]) ).

fof(f65812,plain,
    ( spl4_824
    | ~ spl4_71
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4528,f3816,f1190,f65810]) ).

fof(f65810,plain,
    ( spl4_824
  <=> ! [X2,X0,X1] : geq(vplus(X1,vplus(X0,X2)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_824])]) ).

fof(f4528,plain,
    ( ! [X2,X0,X1] : geq(vplus(X1,vplus(X0,X2)),vplus(X0,X1))
    | ~ spl4_71
    | ~ spl4_170 ),
    inference(superposition,[],[f1191,f3817]) ).

fof(f65808,plain,
    ( spl4_823
    | ~ spl4_70
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4527,f3816,f1186,f65806]) ).

fof(f65806,plain,
    ( spl4_823
  <=> ! [X2,X0,X1] : leq(vplus(X0,X1),vplus(X1,vplus(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_823])]) ).

fof(f4527,plain,
    ( ! [X2,X0,X1] : leq(vplus(X0,X1),vplus(X1,vplus(X0,X2)))
    | ~ spl4_70
    | ~ spl4_170 ),
    inference(superposition,[],[f1187,f3817]) ).

fof(f65804,plain,
    ( spl4_822
    | ~ spl4_69
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4526,f3816,f1182,f65802]) ).

fof(f65802,plain,
    ( spl4_822
  <=> ! [X2,X0,X1] : ~ greater(vplus(X0,X1),vplus(X1,vplus(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_822])]) ).

fof(f4526,plain,
    ( ! [X2,X0,X1] : ~ greater(vplus(X0,X1),vplus(X1,vplus(X0,X2)))
    | ~ spl4_69
    | ~ spl4_170 ),
    inference(superposition,[],[f1183,f3817]) ).

fof(f65800,plain,
    ( spl4_821
    | ~ spl4_11
    | ~ spl4_170 ),
    inference(avatar_split_clause,[],[f4500,f3816,f305,f65798]) ).

fof(f65798,plain,
    ( spl4_821
  <=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(X1,vplus(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_821])]) ).

fof(f4500,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X1,vplus(X0,X2))
    | ~ spl4_11
    | ~ spl4_170 ),
    inference(superposition,[],[f306,f3817]) ).

fof(f65740,plain,
    ( ~ spl4_754
    | ~ spl4_646
    | ~ spl4_700 ),
    inference(avatar_split_clause,[],[f62534,f56860,f42509,f63889]) ).

fof(f62534,plain,
    ( ~ less(vd518,vd520)
    | ~ spl4_646
    | ~ spl4_700 ),
    inference(resolution,[],[f56862,f42510]) ).

fof(f56862,plain,
    ( less(vd520,vd518)
    | ~ spl4_700 ),
    inference(avatar_component_clause,[],[f56860]) ).

fof(f65739,plain,
    ( spl4_820
    | ~ spl4_7
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4284,f3812,f289,f65737]) ).

fof(f65737,plain,
    ( spl4_820
  <=> ! [X0,X1] : vmul(X1,X0) = vmul(v1,vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_820])]) ).

fof(f4284,plain,
    ( ! [X0,X1] : vmul(X1,X0) = vmul(v1,vmul(X0,X1))
    | ~ spl4_7
    | ~ spl4_169 ),
    inference(superposition,[],[f3813,f290]) ).

fof(f65735,plain,
    ( spl4_819
    | ~ spl4_73
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f4075,f3804,f1198,f65733]) ).

fof(f65733,plain,
    ( spl4_819
  <=> ! [X0,X1] : greater(vplus(X0,X1),sK3(X0,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_819])]) ).

fof(f4075,plain,
    ( ! [X0,X1] : greater(vplus(X0,X1),sK3(X0,vplus(X0,X1)))
    | ~ spl4_73
    | ~ spl4_167 ),
    inference(superposition,[],[f1199,f3805]) ).

fof(f65731,plain,
    ( spl4_818
    | ~ spl4_72
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f4074,f3804,f1194,f65729]) ).

fof(f65729,plain,
    ( spl4_818
  <=> ! [X0,X1] : less(sK3(X0,vplus(X0,X1)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_818])]) ).

fof(f4074,plain,
    ( ! [X0,X1] : less(sK3(X0,vplus(X0,X1)),vplus(X0,X1))
    | ~ spl4_72
    | ~ spl4_167 ),
    inference(superposition,[],[f1195,f3805]) ).

fof(f65727,plain,
    ( spl4_817
    | ~ spl4_8
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f4044,f3804,f293,f65725]) ).

fof(f65725,plain,
    ( spl4_817
  <=> ! [X0,X1] : vplus(X0,X1) != sK3(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_817])]) ).

fof(f4044,plain,
    ( ! [X0,X1] : vplus(X0,X1) != sK3(X0,vplus(X0,X1))
    | ~ spl4_8
    | ~ spl4_167 ),
    inference(superposition,[],[f294,f3805]) ).

fof(f65723,plain,
    ( spl4_816
    | ~ spl4_73
    | ~ spl4_166 ),
    inference(avatar_split_clause,[],[f3956,f3800,f1198,f65721]) ).

fof(f65721,plain,
    ( spl4_816
  <=> ! [X0,X1] : greater(vplus(X0,X1),sK2(vplus(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_816])]) ).

fof(f3956,plain,
    ( ! [X0,X1] : greater(vplus(X0,X1),sK2(vplus(X0,X1),X0))
    | ~ spl4_73
    | ~ spl4_166 ),
    inference(superposition,[],[f1199,f3801]) ).

fof(f65719,plain,
    ( spl4_815
    | ~ spl4_72
    | ~ spl4_166 ),
    inference(avatar_split_clause,[],[f3955,f3800,f1194,f65717]) ).

fof(f65717,plain,
    ( spl4_815
  <=> ! [X0,X1] : less(sK2(vplus(X0,X1),X0),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_815])]) ).

fof(f3955,plain,
    ( ! [X0,X1] : less(sK2(vplus(X0,X1),X0),vplus(X0,X1))
    | ~ spl4_72
    | ~ spl4_166 ),
    inference(superposition,[],[f1195,f3801]) ).

fof(f65715,plain,
    ( spl4_814
    | ~ spl4_8
    | ~ spl4_166 ),
    inference(avatar_split_clause,[],[f3925,f3800,f293,f65713]) ).

fof(f65713,plain,
    ( spl4_814
  <=> ! [X0,X1] : vplus(X0,X1) != sK2(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_814])]) ).

fof(f3925,plain,
    ( ! [X0,X1] : vplus(X0,X1) != sK2(vplus(X0,X1),X0)
    | ~ spl4_8
    | ~ spl4_166 ),
    inference(superposition,[],[f294,f3801]) ).

fof(f65711,plain,
    ( spl4_813
    | ~ spl4_63
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f3720,f2838,f901,f65709]) ).

fof(f65709,plain,
    ( spl4_813
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ geq(X2,X1)
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_813])]) ).

fof(f901,plain,
    ( spl4_63
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ geq(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f3720,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ geq(X2,X1)
        | ~ greater(X0,X2) )
    | ~ spl4_63
    | ~ spl4_162 ),
    inference(resolution,[],[f2839,f902]) ).

fof(f902,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ geq(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f65707,plain,
    ( spl4_812
    | ~ spl4_64
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f3719,f2838,f905,f65705]) ).

fof(f65705,plain,
    ( spl4_812
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(X2,X1)
        | ~ geq(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_812])]) ).

fof(f905,plain,
    ( spl4_64
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ geq(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f3719,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(X2,X1)
        | ~ geq(X0,X2) )
    | ~ spl4_64
    | ~ spl4_162 ),
    inference(resolution,[],[f2839,f906]) ).

fof(f906,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ geq(X2,X3) )
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f65703,plain,
    ( spl4_811
    | ~ spl4_61
    | ~ spl4_160 ),
    inference(avatar_split_clause,[],[f3653,f2830,f893,f65701]) ).

fof(f65701,plain,
    ( spl4_811
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(X2,X1)
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_811])]) ).

fof(f3653,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(X2,X1)
        | ~ greater(X0,X2) )
    | ~ spl4_61
    | ~ spl4_160 ),
    inference(resolution,[],[f2831,f894]) ).

fof(f65699,plain,
    ( spl4_810
    | ~ spl4_22
    | ~ spl4_700 ),
    inference(avatar_split_clause,[],[f62528,f56860,f352,f65696]) ).

fof(f352,plain,
    ( spl4_22
  <=> ! [X0,X1] :
        ( leq(X1,X0)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f62528,plain,
    ( leq(vd520,vd518)
    | ~ spl4_22
    | ~ spl4_700 ),
    inference(resolution,[],[f56862,f353]) ).

fof(f353,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | leq(X1,X0) )
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f65694,plain,
    ( spl4_809
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2718,f1991,f687,f301,f65692]) ).

fof(f65692,plain,
    ( spl4_809
  <=> ! [X2,X0,X1] : less(X2,vmul(X2,vplus(X0,vplus(v1,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_809])]) ).

fof(f2718,plain,
    ( ! [X2,X0,X1] : less(X2,vmul(X2,vplus(X0,vplus(v1,X1))))
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_132 ),
    inference(forward_demodulation,[],[f2705,f302]) ).

fof(f2705,plain,
    ( ! [X2,X0,X1] : less(vmul(X2,v1),vmul(X2,vplus(X0,vplus(v1,X1))))
    | ~ spl4_57
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f688]) ).

fof(f65690,plain,
    ( spl4_808
    | ~ spl4_25
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2707,f1991,f377,f65688]) ).

fof(f65688,plain,
    ( spl4_808
  <=> ! [X2,X0,X1] : less(vmul(X0,X1),vmul(vplus(X1,X2),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_808])]) ).

fof(f2707,plain,
    ( ! [X2,X0,X1] : less(vmul(X0,X1),vmul(vplus(X1,X2),X0))
    | ~ spl4_25
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f378]) ).

fof(f65686,plain,
    ( spl4_807
    | ~ spl4_25
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2683,f1991,f377,f65684]) ).

fof(f65684,plain,
    ( spl4_807
  <=> ! [X2,X0,X1] : less(vmul(X1,X0),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_807])]) ).

fof(f2683,plain,
    ( ! [X2,X0,X1] : less(vmul(X1,X0),vmul(X0,vplus(X1,X2)))
    | ~ spl4_25
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f378]) ).

fof(f65682,plain,
    ( spl4_806
    | ~ spl4_25
    | ~ spl4_131 ),
    inference(avatar_split_clause,[],[f2666,f1986,f377,f65680]) ).

fof(f65680,plain,
    ( spl4_806
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vmul(vplus(X1,X2),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_806])]) ).

fof(f2666,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(vplus(X1,X2),X0)
    | ~ spl4_25
    | ~ spl4_131 ),
    inference(superposition,[],[f1987,f378]) ).

fof(f65678,plain,
    ( spl4_805
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2641,f1982,f687,f301,f65676]) ).

fof(f65676,plain,
    ( spl4_805
  <=> ! [X2,X0,X1] : greater(vmul(X2,vplus(X0,vplus(v1,X1))),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_805])]) ).

fof(f2641,plain,
    ( ! [X2,X0,X1] : greater(vmul(X2,vplus(X0,vplus(v1,X1))),X2)
    | ~ spl4_10
    | ~ spl4_57
    | ~ spl4_130 ),
    inference(forward_demodulation,[],[f2623,f302]) ).

fof(f2623,plain,
    ( ! [X2,X0,X1] : greater(vmul(X2,vplus(X0,vplus(v1,X1))),vmul(X2,v1))
    | ~ spl4_57
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f688]) ).

fof(f65674,plain,
    ( spl4_804
    | ~ spl4_25
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2631,f1982,f377,f65672]) ).

fof(f65672,plain,
    ( spl4_804
  <=> ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_804])]) ).

fof(f2631,plain,
    ( ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X1,X0))
    | ~ spl4_25
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f378]) ).

fof(f65670,plain,
    ( spl4_803
    | ~ spl4_25
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2625,f1982,f377,f65668]) ).

fof(f65668,plain,
    ( spl4_803
  <=> ! [X2,X0,X1] : greater(vmul(vplus(X1,X2),X0),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_803])]) ).

fof(f2625,plain,
    ( ! [X2,X0,X1] : greater(vmul(vplus(X1,X2),X0),vmul(X0,X1))
    | ~ spl4_25
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f378]) ).

fof(f65666,plain,
    ( spl4_802
    | ~ spl4_25
    | ~ spl4_129 ),
    inference(avatar_split_clause,[],[f2598,f1978,f377,f65664]) ).

fof(f65664,plain,
    ( spl4_802
  <=> ! [X2,X0,X1] : vmul(X0,X2) != vmul(vplus(X1,X2),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_802])]) ).

fof(f2598,plain,
    ( ! [X2,X0,X1] : vmul(X0,X2) != vmul(vplus(X1,X2),X0)
    | ~ spl4_25
    | ~ spl4_129 ),
    inference(superposition,[],[f1979,f378]) ).

fof(f65662,plain,
    ( spl4_801
    | ~ spl4_26
    | ~ spl4_122 ),
    inference(avatar_split_clause,[],[f2370,f1950,f381,f65660]) ).

fof(f65660,plain,
    ( spl4_801
  <=> ! [X0,X1] : less(vmul(X0,X1),vmul(vplus(X0,v1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_801])]) ).

fof(f2370,plain,
    ( ! [X0,X1] : less(vmul(X0,X1),vmul(vplus(X0,v1),X1))
    | ~ spl4_26
    | ~ spl4_122 ),
    inference(superposition,[],[f1951,f382]) ).

fof(f65650,plain,
    ( spl4_457
    | ~ spl4_20
    | ~ spl4_700 ),
    inference(avatar_split_clause,[],[f62527,f56860,f344,f36255]) ).

fof(f62527,plain,
    ( greater(vd518,vd520)
    | ~ spl4_20
    | ~ spl4_700 ),
    inference(resolution,[],[f56862,f345]) ).

fof(f65649,plain,
    ( spl4_800
    | ~ spl4_25
    | ~ spl4_122 ),
    inference(avatar_split_clause,[],[f2361,f1950,f377,f65647]) ).

fof(f65647,plain,
    ( spl4_800
  <=> ! [X0,X1] : less(vmul(X1,X0),vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_800])]) ).

fof(f2361,plain,
    ( ! [X0,X1] : less(vmul(X1,X0),vmul(vplus(v1,X0),X1))
    | ~ spl4_25
    | ~ spl4_122 ),
    inference(superposition,[],[f1951,f378]) ).

fof(f65645,plain,
    ( spl4_799
    | ~ spl4_26
    | ~ spl4_121 ),
    inference(avatar_split_clause,[],[f2333,f1945,f381,f65643]) ).

fof(f65643,plain,
    ( spl4_799
  <=> ! [X0,X1] : vmul(X0,X1) != vmul(vplus(X0,v1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_799])]) ).

fof(f2333,plain,
    ( ! [X0,X1] : vmul(X0,X1) != vmul(vplus(X0,v1),X1)
    | ~ spl4_26
    | ~ spl4_121 ),
    inference(superposition,[],[f1946,f382]) ).

fof(f65641,plain,
    ( spl4_798
    | ~ spl4_25
    | ~ spl4_120 ),
    inference(avatar_split_clause,[],[f2317,f1941,f377,f65639]) ).

fof(f65639,plain,
    ( spl4_798
  <=> ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),vmul(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_798])]) ).

fof(f2317,plain,
    ( ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),vmul(X1,X0))
    | ~ spl4_25
    | ~ spl4_120 ),
    inference(superposition,[],[f1942,f378]) ).

fof(f65637,plain,
    ( spl4_797
    | ~ spl4_26
    | ~ spl4_120 ),
    inference(avatar_split_clause,[],[f2307,f1941,f381,f65635]) ).

fof(f65635,plain,
    ( spl4_797
  <=> ! [X0,X1] : greater(vmul(vplus(X0,v1),X1),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_797])]) ).

fof(f2307,plain,
    ( ! [X0,X1] : greater(vmul(vplus(X0,v1),X1),vmul(X0,X1))
    | ~ spl4_26
    | ~ spl4_120 ),
    inference(superposition,[],[f1942,f382]) ).

fof(f65633,plain,
    ( spl4_796
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_119 ),
    inference(avatar_split_clause,[],[f2287,f1937,f456,f301,f65631]) ).

fof(f65631,plain,
    ( spl4_796
  <=> ! [X0] :
        ( vplus(vskolem2(X0),v1) = X0
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_796])]) ).

fof(f2287,plain,
    ( ! [X0] :
        ( vplus(vskolem2(X0),v1) = X0
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_119 ),
    inference(forward_demodulation,[],[f2247,f302]) ).

fof(f2247,plain,
    ( ! [X0] :
        ( vmul(X0,v1) = vplus(vskolem2(X0),v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_119 ),
    inference(superposition,[],[f1938,f457]) ).

fof(f65629,plain,
    ( spl4_795
    | ~ spl4_26
    | ~ spl4_55
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2147,f1929,f679,f381,f65627]) ).

fof(f65627,plain,
    ( spl4_795
  <=> ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_795])]) ).

fof(f2147,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X1,vplus(X2,X0)))
    | ~ spl4_26
    | ~ spl4_55
    | ~ spl4_117 ),
    inference(forward_demodulation,[],[f2134,f680]) ).

fof(f2134,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(vplus(X1,X2),X0))
    | ~ spl4_26
    | ~ spl4_117 ),
    inference(superposition,[],[f1930,f382]) ).

fof(f65625,plain,
    ( spl4_794
    | ~ spl4_26
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2121,f1929,f381,f65623]) ).

fof(f65623,plain,
    ( spl4_794
  <=> ! [X2,X0,X1] : less(vplus(X2,X0),vplus(X2,vplus(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_794])]) ).

fof(f2121,plain,
    ( ! [X2,X0,X1] : less(vplus(X2,X0),vplus(X2,vplus(X1,X0)))
    | ~ spl4_26
    | ~ spl4_117 ),
    inference(superposition,[],[f1930,f382]) ).

fof(f65621,plain,
    ( spl4_793
    | ~ spl4_26
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2109,f1929,f381,f65619]) ).

fof(f65619,plain,
    ( spl4_793
  <=> ! [X2,X0,X1] : less(vplus(X1,X0),vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_793])]) ).

fof(f2109,plain,
    ( ! [X2,X0,X1] : less(vplus(X1,X0),vplus(X0,vplus(X1,X2)))
    | ~ spl4_26
    | ~ spl4_117 ),
    inference(superposition,[],[f1930,f382]) ).

fof(f65617,plain,
    ( spl4_792
    | ~ spl4_26
    | ~ spl4_116 ),
    inference(avatar_split_clause,[],[f2096,f1925,f381,f65615]) ).

fof(f65615,plain,
    ( spl4_792
  <=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(vplus(X1,X2),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_792])]) ).

fof(f2096,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(vplus(X1,X2),X0)
    | ~ spl4_26
    | ~ spl4_116 ),
    inference(superposition,[],[f1926,f382]) ).

fof(f65613,plain,
    ( spl4_791
    | ~ spl4_26
    | ~ spl4_116 ),
    inference(avatar_split_clause,[],[f2083,f1925,f381,f65611]) ).

fof(f65611,plain,
    ( spl4_791
  <=> ! [X2,X0,X1] : vplus(X2,X0) != vplus(X2,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_791])]) ).

fof(f2083,plain,
    ( ! [X2,X0,X1] : vplus(X2,X0) != vplus(X2,vplus(X1,X0))
    | ~ spl4_26
    | ~ spl4_116 ),
    inference(superposition,[],[f1926,f382]) ).

fof(f65606,plain,
    ( spl4_790
    | ~ spl4_26
    | ~ spl4_55
    | ~ spl4_115 ),
    inference(avatar_split_clause,[],[f2071,f1921,f679,f381,f65604]) ).

fof(f65604,plain,
    ( spl4_790
  <=> ! [X2,X0,X1] : greater(vplus(X1,vplus(X2,X0)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_790])]) ).

fof(f2071,plain,
    ( ! [X2,X0,X1] : greater(vplus(X1,vplus(X2,X0)),vplus(X0,X1))
    | ~ spl4_26
    | ~ spl4_55
    | ~ spl4_115 ),
    inference(forward_demodulation,[],[f2053,f680]) ).

fof(f2053,plain,
    ( ! [X2,X0,X1] : greater(vplus(vplus(X1,X2),X0),vplus(X0,X1))
    | ~ spl4_26
    | ~ spl4_115 ),
    inference(superposition,[],[f1922,f382]) ).

fof(f65602,plain,
    ( spl4_789
    | ~ spl4_26
    | ~ spl4_115 ),
    inference(avatar_split_clause,[],[f2059,f1921,f381,f65600]) ).

fof(f65600,plain,
    ( spl4_789
  <=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_789])]) ).

fof(f2059,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X1,X0))
    | ~ spl4_26
    | ~ spl4_115 ),
    inference(superposition,[],[f1922,f382]) ).

fof(f65598,plain,
    ( spl4_788
    | ~ spl4_26
    | ~ spl4_115 ),
    inference(avatar_split_clause,[],[f2040,f1921,f381,f65596]) ).

fof(f65596,plain,
    ( spl4_788
  <=> ! [X2,X0,X1] : greater(vplus(X2,vplus(X1,X0)),vplus(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_788])]) ).

fof(f2040,plain,
    ( ! [X2,X0,X1] : greater(vplus(X2,vplus(X1,X0)),vplus(X2,X0))
    | ~ spl4_26
    | ~ spl4_115 ),
    inference(superposition,[],[f1922,f382]) ).

fof(f65594,plain,
    ( spl4_787
    | ~ spl4_22
    | ~ spl4_114 ),
    inference(avatar_split_clause,[],[f2011,f1917,f352,f65592]) ).

fof(f65592,plain,
    ( spl4_787
  <=> ! [X0,X1] :
        ( less(X1,X0)
        | X0 = X1
        | leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_787])]) ).

fof(f1917,plain,
    ( spl4_114
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).

fof(f2011,plain,
    ( ! [X0,X1] :
        ( less(X1,X0)
        | X0 = X1
        | leq(X0,X1) )
    | ~ spl4_22
    | ~ spl4_114 ),
    inference(resolution,[],[f1918,f353]) ).

fof(f1918,plain,
    ( ! [X0,X1] :
        ( less(X1,X0)
        | less(X0,X1)
        | X0 = X1 )
    | ~ spl4_114 ),
    inference(avatar_component_clause,[],[f1917]) ).

fof(f65590,plain,
    ( spl4_786
    | ~ spl4_20
    | ~ spl4_113 ),
    inference(avatar_split_clause,[],[f1998,f1913,f344,f65588]) ).

fof(f65588,plain,
    ( spl4_786
  <=> ! [X0,X1] :
        ( X0 = X1
        | geq(X0,X1)
        | greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_786])]) ).

fof(f1913,plain,
    ( spl4_113
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_113])]) ).

fof(f1998,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | geq(X0,X1)
        | greater(X1,X0) )
    | ~ spl4_20
    | ~ spl4_113 ),
    inference(resolution,[],[f1914,f345]) ).

fof(f1914,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) )
    | ~ spl4_113 ),
    inference(avatar_component_clause,[],[f1913]) ).

fof(f65586,plain,
    ( spl4_785
    | ~ spl4_22
    | ~ spl4_113 ),
    inference(avatar_split_clause,[],[f1997,f1913,f352,f65584]) ).

fof(f65584,plain,
    ( spl4_785
  <=> ! [X0,X1] :
        ( X0 = X1
        | geq(X0,X1)
        | leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_785])]) ).

fof(f1997,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | geq(X0,X1)
        | leq(X0,X1) )
    | ~ spl4_22
    | ~ spl4_113 ),
    inference(resolution,[],[f1914,f353]) ).

fof(f65582,plain,
    ( spl4_784
    | ~ spl4_57
    | ~ spl4_92 ),
    inference(avatar_split_clause,[],[f1599,f1426,f687,f65580]) ).

fof(f65580,plain,
    ( spl4_784
  <=> ! [X2,X0,X1] : vmul(X2,vplus(X0,vplus(v1,X1))) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_784])]) ).

fof(f1599,plain,
    ( ! [X2,X0,X1] : vmul(X2,vplus(X0,vplus(v1,X1))) != X2
    | ~ spl4_57
    | ~ spl4_92 ),
    inference(superposition,[],[f1427,f688]) ).

fof(f65578,plain,
    ( spl4_783
    | ~ spl4_57
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1489,f1401,f687,f65576]) ).

fof(f65576,plain,
    ( spl4_783
  <=> ! [X2,X0,X1] : vmul(vplus(X0,vplus(v1,X1)),X2) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_783])]) ).

fof(f1489,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,vplus(v1,X1)),X2) != X2
    | ~ spl4_57
    | ~ spl4_86 ),
    inference(superposition,[],[f1402,f688]) ).

fof(f65574,plain,
    ( spl4_782
    | ~ spl4_58
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1485,f1397,f696,f65572]) ).

fof(f65572,plain,
    ( spl4_782
  <=> ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(v1,X2)) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_782])]) ).

fof(f696,plain,
    ( spl4_58
  <=> ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

fof(f1485,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(v1,X2)) != X1
    | ~ spl4_58
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f697]) ).

fof(f697,plain,
    ( ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1))
    | ~ spl4_58 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f65564,plain,
    ( ~ spl4_508
    | ~ spl4_17
    | ~ spl4_700 ),
    inference(avatar_split_clause,[],[f62526,f56860,f332,f36971]) ).

fof(f62526,plain,
    ( ~ greater(vd520,vd518)
    | ~ spl4_17
    | ~ spl4_700 ),
    inference(resolution,[],[f56862,f333]) ).

fof(f65563,plain,
    ( spl4_781
    | ~ spl4_56
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1484,f1397,f683,f65561]) ).

fof(f65561,plain,
    ( spl4_781
  <=> ! [X2,X0,X1] : vmul(vplus(v1,X0),vplus(X1,X2)) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_781])]) ).

fof(f1484,plain,
    ( ! [X2,X0,X1] : vmul(vplus(v1,X0),vplus(X1,X2)) != X2
    | ~ spl4_56
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f684]) ).

fof(f65559,plain,
    ( spl4_780
    | ~ spl4_38
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1479,f1397,f456,f65557]) ).

fof(f65557,plain,
    ( spl4_780
  <=> ! [X0,X1] :
        ( vskolem2(X0) != vplus(X1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_780])]) ).

fof(f1479,plain,
    ( ! [X0,X1] :
        ( vskolem2(X0) != vplus(X1,X0)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f457]) ).

fof(f65555,plain,
    ( spl4_779
    | ~ spl4_55
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1478,f1397,f679,f65553]) ).

fof(f65553,plain,
    ( spl4_779
  <=> ! [X2,X0,X1,X3] : vplus(X3,vplus(X0,vplus(X1,X2))) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_779])]) ).

fof(f1478,plain,
    ( ! [X2,X3,X0,X1] : vplus(X3,vplus(X0,vplus(X1,X2))) != X2
    | ~ spl4_55
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f680]) ).

fof(f65551,plain,
    ( spl4_778
    | ~ spl4_58
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1476,f1397,f696,f65549]) ).

fof(f65549,plain,
    ( spl4_778
  <=> ! [X2,X0,X1] : vplus(X2,vmul(X0,vplus(v1,X1))) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_778])]) ).

fof(f1476,plain,
    ( ! [X2,X0,X1] : vplus(X2,vmul(X0,vplus(v1,X1))) != X0
    | ~ spl4_58
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f697]) ).

fof(f65547,plain,
    ( spl4_777
    | ~ spl4_56
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1475,f1397,f683,f65545]) ).

fof(f65545,plain,
    ( spl4_777
  <=> ! [X2,X0,X1] : vplus(X2,vmul(vplus(v1,X0),X1)) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_777])]) ).

fof(f1475,plain,
    ( ! [X2,X0,X1] : vplus(X2,vmul(vplus(v1,X0),X1)) != X1
    | ~ spl4_56
    | ~ spl4_85 ),
    inference(superposition,[],[f1398,f684]) ).

fof(f65543,plain,
    ( spl4_776
    | ~ spl4_55
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1468,f1389,f679,f65541]) ).

fof(f65541,plain,
    ( spl4_776
  <=> ! [X2,X0,X1,X3] : vplus(X0,vplus(X1,vplus(X2,X3))) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_776])]) ).

fof(f1468,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,vplus(X1,vplus(X2,X3))) != X2
    | ~ spl4_55
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f680]) ).

fof(f65539,plain,
    ( spl4_775
    | ~ spl4_58
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1467,f1389,f696,f65537]) ).

fof(f65537,plain,
    ( spl4_775
  <=> ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(v1,X2)) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_775])]) ).

fof(f1467,plain,
    ( ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(v1,X2)) != X0
    | ~ spl4_58
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f697]) ).

fof(f65535,plain,
    ( spl4_774
    | ~ spl4_56
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1466,f1389,f683,f65533]) ).

fof(f65533,plain,
    ( spl4_774
  <=> ! [X2,X0,X1] : vmul(vplus(v1,X0),vplus(X1,X2)) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_774])]) ).

fof(f1466,plain,
    ( ! [X2,X0,X1] : vmul(vplus(v1,X0),vplus(X1,X2)) != X1
    | ~ spl4_56
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f684]) ).

fof(f65531,plain,
    ( spl4_773
    | ~ spl4_38
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1443,f1325,f456,f65529]) ).

fof(f65529,plain,
    ( spl4_773
  <=> ! [X0,X1] :
        ( vskolem2(X0) != vplus(X0,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_773])]) ).

fof(f1443,plain,
    ( ! [X0,X1] :
        ( vskolem2(X0) != vplus(X0,X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_79 ),
    inference(superposition,[],[f1326,f457]) ).

fof(f65527,plain,
    ( spl4_772
    | ~ spl4_55
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1442,f1325,f679,f65525]) ).

fof(f65525,plain,
    ( spl4_772
  <=> ! [X2,X0,X1,X3] : vplus(vplus(X0,vplus(X1,X2)),X3) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_772])]) ).

fof(f1442,plain,
    ( ! [X2,X3,X0,X1] : vplus(vplus(X0,vplus(X1,X2)),X3) != X2
    | ~ spl4_55
    | ~ spl4_79 ),
    inference(superposition,[],[f1326,f680]) ).

fof(f65523,plain,
    ( ~ spl4_771
    | ~ spl4_631
    | ~ spl4_646 ),
    inference(avatar_split_clause,[],[f42965,f42509,f42011,f65520]) ).

fof(f65520,plain,
    ( spl4_771
  <=> less(vd520,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_771])]) ).

fof(f42011,plain,
    ( spl4_631
  <=> less(v1,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_631])]) ).

fof(f42965,plain,
    ( ~ less(vd520,v1)
    | ~ spl4_631
    | ~ spl4_646 ),
    inference(resolution,[],[f42013,f42510]) ).

fof(f42013,plain,
    ( less(v1,vd520)
    | ~ spl4_631 ),
    inference(avatar_component_clause,[],[f42011]) ).

fof(f65518,plain,
    ( spl4_770
    | ~ spl4_58
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1440,f1325,f696,f65516]) ).

fof(f65516,plain,
    ( spl4_770
  <=> ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_770])]) ).

fof(f1440,plain,
    ( ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) != X0
    | ~ spl4_58
    | ~ spl4_79 ),
    inference(superposition,[],[f1326,f697]) ).

fof(f65514,plain,
    ( spl4_769
    | ~ spl4_56
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1439,f1325,f683,f65512]) ).

fof(f65512,plain,
    ( spl4_769
  <=> ! [X2,X0,X1] : vplus(vmul(vplus(v1,X0),X1),X2) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_769])]) ).

fof(f1439,plain,
    ( ! [X2,X0,X1] : vplus(vmul(vplus(v1,X0),X1),X2) != X1
    | ~ spl4_56
    | ~ spl4_79 ),
    inference(superposition,[],[f1326,f684]) ).

fof(f65510,plain,
    ( spl4_768
    | ~ spl4_59
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1273,f1198,f885,f65508]) ).

fof(f65508,plain,
    ( spl4_768
  <=> ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_768])]) ).

fof(f1273,plain,
    ( ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X2))
    | ~ spl4_59
    | ~ spl4_73 ),
    inference(superposition,[],[f1199,f886]) ).

fof(f65506,plain,
    ( spl4_767
    | ~ spl4_59
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1259,f1194,f885,f65504]) ).

fof(f65504,plain,
    ( spl4_767
  <=> ! [X2,X0,X1] : less(vmul(X0,X2),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_767])]) ).

fof(f1259,plain,
    ( ! [X2,X0,X1] : less(vmul(X0,X2),vmul(X0,vplus(X1,X2)))
    | ~ spl4_59
    | ~ spl4_72 ),
    inference(superposition,[],[f1195,f886]) ).

fof(f65502,plain,
    ( spl4_766
    | ~ spl4_55
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1243,f1190,f679,f65500]) ).

fof(f65500,plain,
    ( spl4_766
  <=> ! [X2,X0,X1] : geq(vplus(X0,vplus(X1,X2)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_766])]) ).

fof(f1243,plain,
    ( ! [X2,X0,X1] : geq(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
    | ~ spl4_55
    | ~ spl4_71 ),
    inference(superposition,[],[f1191,f680]) ).

fof(f65498,plain,
    ( spl4_765
    | ~ spl4_59
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1242,f1190,f885,f65496]) ).

fof(f65496,plain,
    ( spl4_765
  <=> ! [X2,X0,X1] : geq(vmul(X0,vplus(X1,X2)),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_765])]) ).

fof(f1242,plain,
    ( ! [X2,X0,X1] : geq(vmul(X0,vplus(X1,X2)),vmul(X0,X1))
    | ~ spl4_59
    | ~ spl4_71 ),
    inference(superposition,[],[f1191,f886]) ).

fof(f65494,plain,
    ( spl4_764
    | ~ spl4_56
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1240,f1190,f683,f65492]) ).

fof(f65492,plain,
    ( spl4_764
  <=> ! [X0,X1] : geq(vmul(vplus(v1,X0),X1),vmul(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_764])]) ).

fof(f1240,plain,
    ( ! [X0,X1] : geq(vmul(vplus(v1,X0),X1),vmul(X0,X1))
    | ~ spl4_56
    | ~ spl4_71 ),
    inference(superposition,[],[f1191,f684]) ).

fof(f65490,plain,
    ( spl4_763
    | ~ spl4_55
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1230,f1186,f679,f65488]) ).

fof(f65488,plain,
    ( spl4_763
  <=> ! [X2,X0,X1] : leq(vplus(X0,X1),vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_763])]) ).

fof(f1230,plain,
    ( ! [X2,X0,X1] : leq(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_70 ),
    inference(superposition,[],[f1187,f680]) ).

fof(f65486,plain,
    ( spl4_762
    | ~ spl4_59
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1229,f1186,f885,f65484]) ).

fof(f65484,plain,
    ( spl4_762
  <=> ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_762])]) ).

fof(f1229,plain,
    ( ! [X2,X0,X1] : leq(vmul(X0,X1),vmul(X0,vplus(X1,X2)))
    | ~ spl4_59
    | ~ spl4_70 ),
    inference(superposition,[],[f1187,f886]) ).

fof(f65482,plain,
    ( spl4_761
    | ~ spl4_56
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1227,f1186,f683,f65480]) ).

fof(f65480,plain,
    ( spl4_761
  <=> ! [X0,X1] : leq(vmul(X0,X1),vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_761])]) ).

fof(f1227,plain,
    ( ! [X0,X1] : leq(vmul(X0,X1),vmul(vplus(v1,X0),X1))
    | ~ spl4_56
    | ~ spl4_70 ),
    inference(superposition,[],[f1187,f684]) ).

fof(f65478,plain,
    ( spl4_760
    | ~ spl4_631
    | ~ spl4_638 ),
    inference(avatar_split_clause,[],[f42964,f42359,f42011,f65475]) ).

fof(f42359,plain,
    ( spl4_638
  <=> ! [X0,X1] :
        ( less(vd520,X0)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_638])]) ).

fof(f42964,plain,
    ( less(vd520,vd520)
    | ~ spl4_631
    | ~ spl4_638 ),
    inference(resolution,[],[f42013,f42360]) ).

fof(f42360,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | less(vd520,X0) )
    | ~ spl4_638 ),
    inference(avatar_component_clause,[],[f42359]) ).

fof(f65473,plain,
    ( spl4_759
    | ~ spl4_55
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1214,f1182,f679,f65471]) ).

fof(f65471,plain,
    ( spl4_759
  <=> ! [X2,X0,X1] : ~ greater(vplus(X0,X1),vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_759])]) ).

fof(f1214,plain,
    ( ! [X2,X0,X1] : ~ greater(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_69 ),
    inference(superposition,[],[f1183,f680]) ).

fof(f65469,plain,
    ( spl4_758
    | ~ spl4_59
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1213,f1182,f885,f65467]) ).

fof(f65467,plain,
    ( spl4_758
  <=> ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_758])]) ).

fof(f1213,plain,
    ( ! [X2,X0,X1] : ~ greater(vmul(X0,X1),vmul(X0,vplus(X1,X2)))
    | ~ spl4_59
    | ~ spl4_69 ),
    inference(superposition,[],[f1183,f886]) ).

fof(f65465,plain,
    ( spl4_757
    | ~ spl4_56
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1211,f1182,f683,f65463]) ).

fof(f65463,plain,
    ( spl4_757
  <=> ! [X0,X1] : ~ greater(vmul(X0,X1),vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_757])]) ).

fof(f1211,plain,
    ( ! [X0,X1] : ~ greater(vmul(X0,X1),vmul(vplus(v1,X0),X1))
    | ~ spl4_56
    | ~ spl4_69 ),
    inference(superposition,[],[f1183,f684]) ).

fof(f65052,plain,
    ( spl4_756
    | ~ spl4_631
    | ~ spl4_636 ),
    inference(avatar_split_clause,[],[f42955,f42336,f42011,f65050]) ).

fof(f42336,plain,
    ( spl4_636
  <=> ! [X0,X1] :
        ( ~ less(X0,vd520)
        | less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_636])]) ).

fof(f42955,plain,
    ( ! [X0] : less(v1,X0)
    | ~ spl4_631
    | ~ spl4_636 ),
    inference(resolution,[],[f42013,f42337]) ).

fof(f42337,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vd520)
        | less(X0,X1) )
    | ~ spl4_636 ),
    inference(avatar_component_clause,[],[f42336]) ).

fof(f64379,plain,
    ( spl4_755
    | ~ spl4_18
    | ~ spl4_547 ),
    inference(avatar_split_clause,[],[f40935,f40051,f336,f64377]) ).

fof(f40051,plain,
    ( spl4_547
  <=> ! [X0] : leq(vd517,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_547])]) ).

fof(f40935,plain,
    ( ! [X0] : geq(X0,vd517)
    | ~ spl4_18
    | ~ spl4_547 ),
    inference(resolution,[],[f40052,f337]) ).

fof(f40052,plain,
    ( ! [X0] : leq(vd517,X0)
    | ~ spl4_547 ),
    inference(avatar_component_clause,[],[f40051]) ).

fof(f63892,plain,
    ( spl4_754
    | ~ spl4_21
    | ~ spl4_508 ),
    inference(avatar_split_clause,[],[f38143,f36971,f348,f63889]) ).

fof(f38143,plain,
    ( less(vd518,vd520)
    | ~ spl4_21
    | ~ spl4_508 ),
    inference(resolution,[],[f36973,f349]) ).

fof(f63124,plain,
    ( spl4_753
    | ~ spl4_21
    | ~ spl4_111 ),
    inference(avatar_split_clause,[],[f37792,f1893,f348,f63121]) ).

fof(f37792,plain,
    ( less(vd518,vd519)
    | ~ spl4_21
    | ~ spl4_111 ),
    inference(resolution,[],[f1894,f349]) ).

fof(f1894,plain,
    ( greater(vd519,vd518)
    | ~ spl4_111 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f62692,plain,
    ( spl4_752
    | ~ spl4_103
    | ~ spl4_289 ),
    inference(avatar_split_clause,[],[f13300,f8633,f1695,f62690]) ).

fof(f62690,plain,
    ( spl4_752
  <=> ! [X0] :
        ( greater(vmul(X0,X0),v1)
        | ~ greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_752])]) ).

fof(f8633,plain,
    ( spl4_289
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | greater(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_289])]) ).

fof(f13300,plain,
    ( ! [X0] :
        ( greater(vmul(X0,X0),v1)
        | ~ greater(X0,v1) )
    | ~ spl4_103
    | ~ spl4_289 ),
    inference(resolution,[],[f8634,f1696]) ).

fof(f8634,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | greater(vmul(X0,X1),X2) )
    | ~ spl4_289 ),
    inference(avatar_component_clause,[],[f8633]) ).

fof(f62688,plain,
    ( spl4_751
    | ~ spl4_100
    | ~ spl4_287 ),
    inference(avatar_split_clause,[],[f13140,f8622,f1683,f62686]) ).

fof(f62686,plain,
    ( spl4_751
  <=> ! [X0] :
        ( less(vmul(X0,X0),v1)
        | ~ less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_751])]) ).

fof(f8622,plain,
    ( spl4_287
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | less(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_287])]) ).

fof(f13140,plain,
    ( ! [X0] :
        ( less(vmul(X0,X0),v1)
        | ~ less(X0,v1) )
    | ~ spl4_100
    | ~ spl4_287 ),
    inference(resolution,[],[f8623,f1684]) ).

fof(f8623,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | less(vmul(X0,X1),X2) )
    | ~ spl4_287 ),
    inference(avatar_component_clause,[],[f8622]) ).

fof(f62684,plain,
    ( spl4_750
    | ~ spl4_110
    | ~ spl4_284 ),
    inference(avatar_split_clause,[],[f12937,f8610,f1724,f62682]) ).

fof(f62682,plain,
    ( spl4_750
  <=> ! [X0] :
        ( ~ greater(vmul(X0,X0),v1)
        | greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_750])]) ).

fof(f8610,plain,
    ( spl4_284
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ greater(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_284])]) ).

fof(f12937,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,X0),v1)
        | greater(X0,v1) )
    | ~ spl4_110
    | ~ spl4_284 ),
    inference(resolution,[],[f8611,f1725]) ).

fof(f8611,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ greater(vmul(X0,X1),X2) )
    | ~ spl4_284 ),
    inference(avatar_component_clause,[],[f8610]) ).

fof(f62680,plain,
    ( spl4_749
    | ~ spl4_108
    | ~ spl4_282 ),
    inference(avatar_split_clause,[],[f12781,f8602,f1716,f62678]) ).

fof(f62678,plain,
    ( spl4_749
  <=> ! [X0] :
        ( ~ less(vmul(X0,X0),v1)
        | less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_749])]) ).

fof(f8602,plain,
    ( spl4_282
  <=> ! [X2,X0,X1] :
        ( less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ less(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_282])]) ).

fof(f12781,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,X0),v1)
        | less(X0,v1) )
    | ~ spl4_108
    | ~ spl4_282 ),
    inference(resolution,[],[f8603,f1717]) ).

fof(f8603,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ less(vmul(X0,X1),X2) )
    | ~ spl4_282 ),
    inference(avatar_component_clause,[],[f8602]) ).

fof(f62676,plain,
    ( spl4_748
    | ~ spl4_69
    | ~ spl4_220 ),
    inference(avatar_split_clause,[],[f8002,f6526,f1182,f62674]) ).

fof(f62674,plain,
    ( spl4_748
  <=> ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X1,X0))
        | ~ greater(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_748])]) ).

fof(f8002,plain,
    ( ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X1,X0))
        | ~ greater(X1,X2) )
    | ~ spl4_69
    | ~ spl4_220 ),
    inference(resolution,[],[f6527,f1183]) ).

fof(f62672,plain,
    ( spl4_747
    | ~ spl4_9
    | ~ spl4_205 ),
    inference(avatar_split_clause,[],[f6742,f6462,f297,f62670]) ).

fof(f62670,plain,
    ( spl4_747
  <=> ! [X0,X1] :
        ( greater(vplus(X0,X1),v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_747])]) ).

fof(f297,plain,
    ( spl4_9
  <=> ! [X0,X1] : greater(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f6742,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X0,X1),v1)
        | v1 = X0 )
    | ~ spl4_9
    | ~ spl4_205 ),
    inference(superposition,[],[f298,f6463]) ).

fof(f298,plain,
    ( ! [X0,X1] : greater(vplus(X0,X1),X0)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f62659,plain,
    ( spl4_746
    | ~ spl4_4
    | ~ spl4_185 ),
    inference(avatar_split_clause,[],[f6033,f3906,f277,f62657]) ).

fof(f62657,plain,
    ( spl4_746
  <=> ! [X0,X1] :
        ( ~ greater(X0,vmul(X0,X1))
        | ~ greater(X1,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_746])]) ).

fof(f6033,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,vmul(X0,X1))
        | ~ greater(X1,v1) )
    | ~ spl4_4
    | ~ spl4_185 ),
    inference(resolution,[],[f3907,f278]) ).

fof(f62655,plain,
    ( spl4_745
    | ~ spl4_4
    | ~ spl4_184 ),
    inference(avatar_split_clause,[],[f6007,f3902,f277,f62653]) ).

fof(f62653,plain,
    ( spl4_745
  <=> ! [X0,X1] :
        ( ~ greater(X0,v1)
        | ~ greater(X1,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_745])]) ).

fof(f6007,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,v1)
        | ~ greater(X1,vmul(X0,X1)) )
    | ~ spl4_4
    | ~ spl4_184 ),
    inference(resolution,[],[f3903,f278]) ).

fof(f62651,plain,
    ( spl4_744
    | ~ spl4_97
    | ~ spl4_158 ),
    inference(avatar_split_clause,[],[f3572,f2822,f1671,f62649]) ).

fof(f62649,plain,
    ( spl4_744
  <=> ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X2,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_744])]) ).

fof(f3572,plain,
    ( ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X2,X0),X1) )
    | ~ spl4_97
    | ~ spl4_158 ),
    inference(resolution,[],[f2823,f1672]) ).

fof(f62647,plain,
    ( spl4_743
    | ~ spl4_96
    | ~ spl4_144 ),
    inference(avatar_split_clause,[],[f3133,f2760,f1667,f62645]) ).

fof(f62645,plain,
    ( spl4_743
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vplus(X1,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_743])]) ).

fof(f3133,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vplus(X1,X0),X1) )
    | ~ spl4_96
    | ~ spl4_144 ),
    inference(resolution,[],[f2761,f1668]) ).

fof(f62643,plain,
    ( spl4_742
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2717,f1991,f456,f301,f62641]) ).

fof(f62641,plain,
    ( spl4_742
  <=> ! [X0,X1] :
        ( less(X1,vmul(X1,X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_742])]) ).

fof(f2717,plain,
    ( ! [X0,X1] :
        ( less(X1,vmul(X1,X0))
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_132 ),
    inference(forward_demodulation,[],[f2704,f302]) ).

fof(f2704,plain,
    ( ! [X0,X1] :
        ( less(vmul(X1,v1),vmul(X1,X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f457]) ).

fof(f62639,plain,
    ( spl4_741
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2640,f1982,f456,f301,f62637]) ).

fof(f62637,plain,
    ( spl4_741
  <=> ! [X0,X1] :
        ( greater(vmul(X1,X0),X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_741])]) ).

fof(f2640,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,X0),X1)
        | v1 = X0 )
    | ~ spl4_10
    | ~ spl4_38
    | ~ spl4_130 ),
    inference(forward_demodulation,[],[f2622,f302]) ).

fof(f2622,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,X0),vmul(X1,v1))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f457]) ).

fof(f62635,plain,
    ( spl4_740
    | ~ spl4_25
    | ~ spl4_110 ),
    inference(avatar_split_clause,[],[f1906,f1724,f377,f62633]) ).

fof(f62633,plain,
    ( spl4_740
  <=> ! [X0,X1] :
        ( ~ greater(vmul(X1,X0),X1)
        | greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_740])]) ).

fof(f1906,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X1,X0),X1)
        | greater(X0,v1) )
    | ~ spl4_25
    | ~ spl4_110 ),
    inference(superposition,[],[f1725,f378]) ).

fof(f62631,plain,
    ( spl4_739
    | ~ spl4_25
    | ~ spl4_109 ),
    inference(avatar_split_clause,[],[f1887,f1720,f377,f62629]) ).

fof(f62629,plain,
    ( spl4_739
  <=> ! [X0,X1] :
        ( ~ greater(X1,vmul(X1,X0))
        | greater(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_739])]) ).

fof(f1887,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,vmul(X1,X0))
        | greater(v1,X0) )
    | ~ spl4_25
    | ~ spl4_109 ),
    inference(superposition,[],[f1721,f378]) ).

fof(f62627,plain,
    ( spl4_738
    | ~ spl4_25
    | ~ spl4_108 ),
    inference(avatar_split_clause,[],[f1878,f1716,f377,f62625]) ).

fof(f62625,plain,
    ( spl4_738
  <=> ! [X0,X1] :
        ( ~ less(vmul(X1,X0),X1)
        | less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_738])]) ).

fof(f1878,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X1,X0),X1)
        | less(X0,v1) )
    | ~ spl4_25
    | ~ spl4_108 ),
    inference(superposition,[],[f1717,f378]) ).

fof(f62623,plain,
    ( spl4_737
    | ~ spl4_25
    | ~ spl4_106 ),
    inference(avatar_split_clause,[],[f1860,f1708,f377,f62621]) ).

fof(f62621,plain,
    ( spl4_737
  <=> ! [X0,X1] :
        ( vmul(v1,X0) != X1
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_737])]) ).

fof(f1860,plain,
    ( ! [X0,X1] :
        ( vmul(v1,X0) != X1
        | X0 = X1 )
    | ~ spl4_25
    | ~ spl4_106 ),
    inference(superposition,[],[f1709,f378]) ).

fof(f62619,plain,
    ( spl4_736
    | ~ spl4_25
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f1848,f1695,f377,f62617]) ).

fof(f62617,plain,
    ( spl4_736
  <=> ! [X0,X1] :
        ( greater(vmul(X1,X0),X1)
        | ~ greater(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_736])]) ).

fof(f1848,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,X0),X1)
        | ~ greater(X0,v1) )
    | ~ spl4_25
    | ~ spl4_103 ),
    inference(superposition,[],[f1696,f378]) ).

fof(f62615,plain,
    ( spl4_735
    | ~ spl4_21
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f1846,f1695,f348,f62613]) ).

fof(f62613,plain,
    ( spl4_735
  <=> ! [X0,X1] :
        ( ~ greater(X0,v1)
        | less(X1,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_735])]) ).

fof(f1846,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,v1)
        | less(X1,vmul(X0,X1)) )
    | ~ spl4_21
    | ~ spl4_103 ),
    inference(resolution,[],[f1696,f349]) ).

fof(f62611,plain,
    ( spl4_734
    | ~ spl4_23
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f1845,f1695,f356,f62609]) ).

fof(f62609,plain,
    ( spl4_734
  <=> ! [X0,X1] :
        ( ~ greater(X0,v1)
        | geq(vmul(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_734])]) ).

fof(f356,plain,
    ( spl4_23
  <=> ! [X0,X1] :
        ( geq(X1,X0)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f1845,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,v1)
        | geq(vmul(X0,X1),X1) )
    | ~ spl4_23
    | ~ spl4_103 ),
    inference(resolution,[],[f1696,f357]) ).

fof(f357,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,X0)
        | geq(X1,X0) )
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f62607,plain,
    ( spl4_733
    | ~ spl4_26
    | ~ spl4_101 ),
    inference(avatar_split_clause,[],[f1826,f1687,f381,f62605]) ).

fof(f62605,plain,
    ( spl4_733
  <=> ! [X0,X1] :
        ( leq(vplus(v1,X0),X1)
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_733])]) ).

fof(f1826,plain,
    ( ! [X0,X1] :
        ( leq(vplus(v1,X0),X1)
        | ~ less(X0,X1) )
    | ~ spl4_26
    | ~ spl4_101 ),
    inference(superposition,[],[f1688,f382]) ).

fof(f62603,plain,
    ( spl4_732
    | ~ spl4_18
    | ~ spl4_101 ),
    inference(avatar_split_clause,[],[f1825,f1687,f336,f62601]) ).

fof(f62601,plain,
    ( spl4_732
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | geq(X1,vplus(X0,v1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_732])]) ).

fof(f1825,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | geq(X1,vplus(X0,v1)) )
    | ~ spl4_18
    | ~ spl4_101 ),
    inference(resolution,[],[f1688,f337]) ).

fof(f62599,plain,
    ( spl4_731
    | ~ spl4_25
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1816,f1683,f377,f62597]) ).

fof(f62597,plain,
    ( spl4_731
  <=> ! [X0,X1] :
        ( less(vmul(X1,X0),X1)
        | ~ less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_731])]) ).

fof(f1816,plain,
    ( ! [X0,X1] :
        ( less(vmul(X1,X0),X1)
        | ~ less(X0,v1) )
    | ~ spl4_25
    | ~ spl4_100 ),
    inference(superposition,[],[f1684,f378]) ).

fof(f62595,plain,
    ( spl4_730
    | ~ spl4_17
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1812,f1683,f332,f62593]) ).

fof(f62593,plain,
    ( spl4_730
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | ~ greater(vmul(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_730])]) ).

fof(f1812,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | ~ greater(vmul(X0,X1),X1) )
    | ~ spl4_17
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f333]) ).

fof(f62591,plain,
    ( spl4_729
    | ~ spl4_20
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1811,f1683,f344,f62589]) ).

fof(f62589,plain,
    ( spl4_729
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | greater(X1,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_729])]) ).

fof(f1811,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | greater(X1,vmul(X0,X1)) )
    | ~ spl4_20
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f345]) ).

fof(f62587,plain,
    ( spl4_728
    | ~ spl4_22
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1810,f1683,f352,f62585]) ).

fof(f62585,plain,
    ( spl4_728
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_728])]) ).

fof(f1810,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(vmul(X0,X1),X1) )
    | ~ spl4_22
    | ~ spl4_100 ),
    inference(resolution,[],[f1684,f353]) ).

fof(f62583,plain,
    ( spl4_727
    | ~ spl4_25
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1803,f1679,f377,f62581]) ).

fof(f62581,plain,
    ( spl4_727
  <=> ! [X0,X1] :
        ( less(X1,vmul(X1,X0))
        | ~ less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_727])]) ).

fof(f1803,plain,
    ( ! [X0,X1] :
        ( less(X1,vmul(X1,X0))
        | ~ less(v1,X0) )
    | ~ spl4_25
    | ~ spl4_99 ),
    inference(superposition,[],[f1680,f378]) ).

fof(f62574,plain,
    ( spl4_726
    | ~ spl4_17
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1801,f1679,f332,f62572]) ).

fof(f62572,plain,
    ( spl4_726
  <=> ! [X0,X1] :
        ( ~ less(v1,X0)
        | ~ greater(X1,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_726])]) ).

fof(f1801,plain,
    ( ! [X0,X1] :
        ( ~ less(v1,X0)
        | ~ greater(X1,vmul(X0,X1)) )
    | ~ spl4_17
    | ~ spl4_99 ),
    inference(resolution,[],[f1680,f333]) ).

fof(f62570,plain,
    ( spl4_725
    | ~ spl4_20
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1800,f1679,f344,f62568]) ).

fof(f62568,plain,
    ( spl4_725
  <=> ! [X0,X1] :
        ( ~ less(v1,X0)
        | greater(vmul(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_725])]) ).

fof(f1800,plain,
    ( ! [X0,X1] :
        ( ~ less(v1,X0)
        | greater(vmul(X0,X1),X1) )
    | ~ spl4_20
    | ~ spl4_99 ),
    inference(resolution,[],[f1680,f345]) ).

fof(f62566,plain,
    ( spl4_724
    | ~ spl4_22
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1799,f1679,f352,f62564]) ).

fof(f62564,plain,
    ( spl4_724
  <=> ! [X0,X1] :
        ( ~ less(v1,X0)
        | leq(X1,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_724])]) ).

fof(f1799,plain,
    ( ! [X0,X1] :
        ( ~ less(v1,X0)
        | leq(X1,vmul(X0,X1)) )
    | ~ spl4_22
    | ~ spl4_99 ),
    inference(resolution,[],[f1680,f353]) ).

fof(f62562,plain,
    ( spl4_723
    | ~ spl4_17
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1768,f1671,f332,f62560]) ).

fof(f62560,plain,
    ( spl4_723
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_723])]) ).

fof(f1768,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,vplus(X1,X2)) )
    | ~ spl4_17
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f333]) ).

fof(f62558,plain,
    ( spl4_722
    | ~ spl4_20
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1767,f1671,f344,f62556]) ).

fof(f62556,plain,
    ( spl4_722
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_722])]) ).

fof(f1767,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),X0) )
    | ~ spl4_20
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f345]) ).

fof(f62554,plain,
    ( spl4_721
    | ~ spl4_22
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1766,f1671,f352,f62552]) ).

fof(f62552,plain,
    ( spl4_721
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(X0,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_721])]) ).

fof(f1766,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(X0,vplus(X1,X2)) )
    | ~ spl4_22
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f353]) ).

fof(f62550,plain,
    ( spl4_720
    | ~ spl4_45
    | ~ spl4_96 ),
    inference(avatar_split_clause,[],[f1752,f1667,f507,f62548]) ).

fof(f62548,plain,
    ( spl4_720
  <=> ! [X0,X1] :
        ( leq(vplus(X0,X1),X1)
        | ~ less(X0,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_720])]) ).

fof(f1752,plain,
    ( ! [X0,X1] :
        ( leq(vplus(X0,X1),X1)
        | ~ less(X0,v1) )
    | ~ spl4_45
    | ~ spl4_96 ),
    inference(resolution,[],[f1668,f508]) ).

fof(f62546,plain,
    ( spl4_719
    | ~ spl4_26
    | ~ spl4_94 ),
    inference(avatar_split_clause,[],[f1732,f1649,f381,f62544]) ).

fof(f62544,plain,
    ( spl4_719
  <=> ! [X0,X1] :
        ( leq(vplus(v1,X0),X1)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_719])]) ).

fof(f1732,plain,
    ( ! [X0,X1] :
        ( leq(vplus(v1,X0),X1)
        | ~ greater(X1,X0) )
    | ~ spl4_26
    | ~ spl4_94 ),
    inference(superposition,[],[f1650,f382]) ).

fof(f62542,plain,
    ( spl4_718
    | ~ spl4_38
    | ~ spl4_92 ),
    inference(avatar_split_clause,[],[f1598,f1426,f456,f62540]) ).

fof(f62540,plain,
    ( spl4_718
  <=> ! [X0,X1] :
        ( vmul(X1,X0) != X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_718])]) ).

fof(f1598,plain,
    ( ! [X0,X1] :
        ( vmul(X1,X0) != X1
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_92 ),
    inference(superposition,[],[f1427,f457]) ).

fof(f62538,plain,
    ( spl4_717
    | ~ spl4_38
    | ~ spl4_87 ),
    inference(avatar_split_clause,[],[f1500,f1405,f456,f62536]) ).

fof(f62536,plain,
    ( spl4_717
  <=> ! [X0,X1] :
        ( greater(vplus(X1,X0),v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_717])]) ).

fof(f1405,plain,
    ( spl4_87
  <=> ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

fof(f1500,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X1,X0),v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_87 ),
    inference(superposition,[],[f1406,f457]) ).

fof(f1406,plain,
    ( ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1)
    | ~ spl4_87 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f62525,plain,
    ( spl4_716
    | ~ spl4_38
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1461,f1389,f456,f62523]) ).

fof(f62523,plain,
    ( spl4_716
  <=> ! [X0,X1] :
        ( v1 != vplus(X1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_716])]) ).

fof(f1461,plain,
    ( ! [X0,X1] :
        ( v1 != vplus(X1,X0)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_83 ),
    inference(superposition,[],[f1390,f457]) ).

fof(f62521,plain,
    ( spl4_715
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1248,f1194,f444,f62519]) ).

fof(f62519,plain,
    ( spl4_715
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_715])]) ).

fof(f1248,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X2,X1)) )
    | ~ spl4_35
    | ~ spl4_72 ),
    inference(resolution,[],[f1195,f445]) ).

fof(f62517,plain,
    ( spl4_714
    | ~ spl4_34
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1219,f1186,f440,f62515]) ).

fof(f62515,plain,
    ( spl4_714
  <=> ! [X2,X0,X1] :
        ( ~ leq(X0,X1)
        | leq(X0,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_714])]) ).

fof(f1219,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X0,X1)
        | leq(X0,vplus(X1,X2)) )
    | ~ spl4_34
    | ~ spl4_70 ),
    inference(resolution,[],[f1187,f441]) ).

fof(f62513,plain,
    ( spl4_713
    | ~ spl4_36
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1218,f1186,f448,f62511]) ).

fof(f62511,plain,
    ( spl4_713
  <=> ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X0,X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_713])]) ).

fof(f1218,plain,
    ( ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X0,X2),X1) )
    | ~ spl4_36
    | ~ spl4_70 ),
    inference(resolution,[],[f1187,f449]) ).

fof(f62509,plain,
    ( spl4_712
    | ~ spl4_63
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1204,f1182,f901,f62507]) ).

fof(f62507,plain,
    ( spl4_712
  <=> ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X0,X1))
        | ~ greater(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_712])]) ).

fof(f1204,plain,
    ( ! [X2,X0,X1] :
        ( ~ geq(X0,vplus(X0,X1))
        | ~ greater(X1,X2) )
    | ~ spl4_63
    | ~ spl4_69 ),
    inference(resolution,[],[f1183,f902]) ).

fof(f61376,plain,
    ( spl4_711
    | ~ spl4_54
    | ~ spl4_81
    | ~ spl4_373 ),
    inference(avatar_split_clause,[],[f46483,f24684,f1363,f675,f61374]) ).

fof(f61374,plain,
    ( spl4_711
  <=> ! [X0] : vmul(vd519,vmul(vd518,X0)) = vplus(vmul(vd517,vmul(vd519,X0)),sK2(vmul(vd519,vmul(vd518,X0)),vmul(vd517,vmul(vd519,X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_711])]) ).

fof(f1363,plain,
    ( spl4_81
  <=> less(vmul(vd517,vd519),vmul(vd519,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f24684,plain,
    ( spl4_373
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vmul(X1,X2) = vplus(vmul(X0,X2),sK2(vmul(X1,X2),vmul(X0,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_373])]) ).

fof(f46483,plain,
    ( ! [X0] : vmul(vd519,vmul(vd518,X0)) = vplus(vmul(vd517,vmul(vd519,X0)),sK2(vmul(vd519,vmul(vd518,X0)),vmul(vd517,vmul(vd519,X0))))
    | ~ spl4_54
    | ~ spl4_81
    | ~ spl4_373 ),
    inference(forward_demodulation,[],[f46482,f676]) ).

fof(f46482,plain,
    ( ! [X0] : vmul(vmul(vd519,vd518),X0) = vplus(vmul(vd517,vmul(vd519,X0)),sK2(vmul(vmul(vd519,vd518),X0),vmul(vd517,vmul(vd519,X0))))
    | ~ spl4_54
    | ~ spl4_81
    | ~ spl4_373 ),
    inference(forward_demodulation,[],[f46478,f676]) ).

fof(f46478,plain,
    ( ! [X0] : vmul(vmul(vd519,vd518),X0) = vplus(vmul(vmul(vd517,vd519),X0),sK2(vmul(vmul(vd519,vd518),X0),vmul(vmul(vd517,vd519),X0)))
    | ~ spl4_81
    | ~ spl4_373 ),
    inference(resolution,[],[f1364,f24685]) ).

fof(f24685,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vmul(X1,X2) = vplus(vmul(X0,X2),sK2(vmul(X1,X2),vmul(X0,X2))) )
    | ~ spl4_373 ),
    inference(avatar_component_clause,[],[f24684]) ).

fof(f1364,plain,
    ( less(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_81 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f61372,plain,
    ( spl4_710
    | ~ spl4_81
    | ~ spl4_374 ),
    inference(avatar_split_clause,[],[f46479,f24688,f1363,f61370]) ).

fof(f61370,plain,
    ( spl4_710
  <=> ! [X0] : vplus(vmul(vd519,vd518),X0) = vplus(vmul(vd517,vd519),vplus(X0,sK2(vplus(vmul(vd519,vd518),X0),vplus(vmul(vd517,vd519),X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_710])]) ).

fof(f24688,plain,
    ( spl4_374
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2))))
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_374])]) ).

fof(f46479,plain,
    ( ! [X0] : vplus(vmul(vd519,vd518),X0) = vplus(vmul(vd517,vd519),vplus(X0,sK2(vplus(vmul(vd519,vd518),X0),vplus(vmul(vd517,vd519),X0))))
    | ~ spl4_81
    | ~ spl4_374 ),
    inference(resolution,[],[f1364,f24689]) ).

fof(f24689,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2)))) )
    | ~ spl4_374 ),
    inference(avatar_component_clause,[],[f24688]) ).

fof(f61368,plain,
    ( ~ spl4_165
    | ~ spl4_478
    | ~ spl4_692 ),
    inference(avatar_split_clause,[],[f46536,f45901,f36601,f3269]) ).

fof(f36601,plain,
    ( spl4_478
  <=> ! [X0] :
        ( ~ greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_478])]) ).

fof(f45901,plain,
    ( spl4_692
  <=> greater(vmul(vd517,vd520),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_692])]) ).

fof(f46536,plain,
    ( ~ less(vd517,vd518)
    | ~ spl4_478
    | ~ spl4_692 ),
    inference(resolution,[],[f45903,f36602]) ).

fof(f36602,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_478 ),
    inference(avatar_component_clause,[],[f36601]) ).

fof(f45903,plain,
    ( greater(vmul(vd517,vd520),vmul(vd517,vd519))
    | ~ spl4_692 ),
    inference(avatar_component_clause,[],[f45901]) ).

fof(f60334,plain,
    ( spl4_709
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(avatar_split_clause,[],[f46425,f25325,f1150,f60332]) ).

fof(f60332,plain,
    ( spl4_709
  <=> ! [X0,X1] : vmul(X0,vmul(vd518,vplus(vd520,X1))) = vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vmul(vd518,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_709])]) ).

fof(f25325,plain,
    ( spl4_377
  <=> ! [X0,X3,X2,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,vmul(X1,X3))) = vmul(X0,vmul(X1,vplus(X2,X3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_377])]) ).

fof(f46425,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd518,vplus(vd520,X1))) = vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vmul(vd518,X1)))
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(superposition,[],[f25326,f1152]) ).

fof(f25326,plain,
    ( ! [X2,X3,X0,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,vmul(X1,X3))) = vmul(X0,vmul(X1,vplus(X2,X3)))
    | ~ spl4_377 ),
    inference(avatar_component_clause,[],[f25325]) ).

fof(f60330,plain,
    ( spl4_708
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(avatar_split_clause,[],[f46424,f25325,f1150,f60328]) ).

fof(f60328,plain,
    ( spl4_708
  <=> ! [X0,X1] : vmul(X0,vmul(vd518,vplus(X1,vd520))) = vplus(vmul(X0,vmul(vd518,X1)),vmul(X0,vmul(vd517,vd519))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_708])]) ).

fof(f46424,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd518,vplus(X1,vd520))) = vplus(vmul(X0,vmul(vd518,X1)),vmul(X0,vmul(vd517,vd519)))
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(superposition,[],[f25326,f1152]) ).

fof(f58534,plain,
    ( spl4_707
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_324
    | ~ spl4_377 ),
    inference(avatar_split_clause,[],[f46467,f25325,f19188,f6478,f1150,f885,f58532]) ).

fof(f58532,plain,
    ( spl4_707
  <=> ! [X0] : vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vd518)) = vmul(X0,vmul(vd518,vplus(vd520,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_707])]) ).

fof(f19188,plain,
    ( spl4_324
  <=> ! [X2,X0,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,X1)) = vmul(X0,vmul(X1,vplus(v1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_324])]) ).

fof(f46467,plain,
    ( ! [X0] : vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vd518)) = vmul(X0,vmul(vd518,vplus(vd520,v1)))
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_324
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f46417,f25725]) ).

fof(f25725,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,vmul(X1,vplus(X2,X3))) = vmul(X0,vmul(X1,vplus(X3,X2)))
    | ~ spl4_59
    | ~ spl4_209
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f25411,f886]) ).

fof(f25411,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,vmul(X1,vplus(X2,X3))) = vmul(X0,vplus(vmul(X1,X3),vmul(X1,X2)))
    | ~ spl4_209
    | ~ spl4_377 ),
    inference(superposition,[],[f25326,f6479]) ).

fof(f46417,plain,
    ( ! [X0] : vmul(X0,vmul(vd518,vplus(v1,vd520))) = vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vd518))
    | ~ spl4_67
    | ~ spl4_324 ),
    inference(superposition,[],[f19189,f1152]) ).

fof(f19189,plain,
    ( ! [X2,X0,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,X1)) = vmul(X0,vmul(X1,vplus(v1,X2)))
    | ~ spl4_324 ),
    inference(avatar_component_clause,[],[f19188]) ).

fof(f58530,plain,
    ( ~ spl4_508
    | ~ spl4_457
    | ~ spl4_647 ),
    inference(avatar_split_clause,[],[f46507,f42513,f36255,f36971]) ).

fof(f42513,plain,
    ( spl4_647
  <=> ! [X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_647])]) ).

fof(f46507,plain,
    ( ~ greater(vd520,vd518)
    | ~ spl4_457
    | ~ spl4_647 ),
    inference(resolution,[],[f36256,f42514]) ).

fof(f42514,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,X0)
        | ~ greater(X0,X1) )
    | ~ spl4_647 ),
    inference(avatar_component_clause,[],[f42513]) ).

fof(f58529,plain,
    ( spl4_706
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(avatar_split_clause,[],[f46419,f19192,f1150,f58527]) ).

fof(f58527,plain,
    ( spl4_706
  <=> ! [X0,X1] : vplus(vmul(vd518,vplus(vd520,X0)),X1) = vplus(vmul(vd517,vd519),vplus(vmul(vd518,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_706])]) ).

fof(f46419,plain,
    ( ! [X0,X1] : vplus(vmul(vd518,vplus(vd520,X0)),X1) = vplus(vmul(vd517,vd519),vplus(vmul(vd518,X0),X1))
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(superposition,[],[f19193,f1152]) ).

fof(f58525,plain,
    ( spl4_705
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(avatar_split_clause,[],[f46418,f19192,f1150,f58523]) ).

fof(f58523,plain,
    ( spl4_705
  <=> ! [X0,X1] : vplus(vmul(vd518,vplus(X0,vd520)),X1) = vplus(vmul(vd518,X0),vplus(vmul(vd517,vd519),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_705])]) ).

fof(f46418,plain,
    ( ! [X0,X1] : vplus(vmul(vd518,vplus(X0,vd520)),X1) = vplus(vmul(vd518,X0),vplus(vmul(vd517,vd519),X1))
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(superposition,[],[f19193,f1152]) ).

fof(f58434,plain,
    ( spl4_704
    | ~ spl4_67
    | ~ spl4_338 ),
    inference(avatar_split_clause,[],[f21392,f19245,f1150,f58432]) ).

fof(f58432,plain,
    ( spl4_704
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X0,X1),vmul(X2,vmul(vd517,vd519)))
        | ~ greater(X0,vmul(X2,vd518))
        | ~ greater(X1,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_704])]) ).

fof(f21392,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X0,X1),vmul(X2,vmul(vd517,vd519)))
        | ~ greater(X0,vmul(X2,vd518))
        | ~ greater(X1,vd520) )
    | ~ spl4_67
    | ~ spl4_338 ),
    inference(superposition,[],[f19246,f1152]) ).

fof(f58430,plain,
    ( spl4_703
    | ~ spl4_67
    | ~ spl4_337 ),
    inference(avatar_split_clause,[],[f21329,f19241,f1150,f58428]) ).

fof(f58428,plain,
    ( spl4_703
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,X2))
        | ~ greater(vmul(X0,vd518),X1)
        | ~ greater(vd520,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_703])]) ).

fof(f21329,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,X2))
        | ~ greater(vmul(X0,vd518),X1)
        | ~ greater(vd520,X2) )
    | ~ spl4_67
    | ~ spl4_337 ),
    inference(superposition,[],[f19242,f1152]) ).

fof(f57897,plain,
    ( spl4_702
    | ~ spl4_23
    | ~ spl4_457 ),
    inference(avatar_split_clause,[],[f46501,f36255,f356,f57894]) ).

fof(f46501,plain,
    ( geq(vd518,vd520)
    | ~ spl4_23
    | ~ spl4_457 ),
    inference(resolution,[],[f36256,f357]) ).

fof(f56876,plain,
    ( spl4_701
    | ~ spl4_41
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f46477,f1363,f487,f56873]) ).

fof(f56873,plain,
    ( spl4_701
  <=> vmul(vd519,vd518) = vplus(vmul(vd517,vd519),sK2(vmul(vd519,vd518),vmul(vd517,vd519))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_701])]) ).

fof(f46477,plain,
    ( vmul(vd519,vd518) = vplus(vmul(vd517,vd519),sK2(vmul(vd519,vd518),vmul(vd517,vd519)))
    | ~ spl4_41
    | ~ spl4_81 ),
    inference(resolution,[],[f1364,f488]) ).

fof(f56863,plain,
    ( spl4_700
    | ~ spl4_165
    | ~ spl4_638 ),
    inference(avatar_split_clause,[],[f46464,f42359,f3269,f56860]) ).

fof(f46464,plain,
    ( less(vd520,vd518)
    | ~ spl4_165
    | ~ spl4_638 ),
    inference(resolution,[],[f3270,f42360]) ).

fof(f53734,plain,
    ( spl4_42
    | ~ spl4_469
    | ~ spl4_521 ),
    inference(avatar_split_clause,[],[f45885,f37787,f36515,f491]) ).

fof(f491,plain,
    ( spl4_42
  <=> less(vd518,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f36515,plain,
    ( spl4_469
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd520))
        | less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_469])]) ).

fof(f37787,plain,
    ( spl4_521
  <=> less(vmul(vd517,vd519),vmul(vd517,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_521])]) ).

fof(f45885,plain,
    ( less(vd518,vd517)
    | ~ spl4_469
    | ~ spl4_521 ),
    inference(resolution,[],[f37788,f36516]) ).

fof(f36516,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd520))
        | less(vd518,X0) )
    | ~ spl4_469 ),
    inference(avatar_component_clause,[],[f36515]) ).

fof(f37788,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd520))
    | ~ spl4_521 ),
    inference(avatar_component_clause,[],[f37787]) ).

fof(f53382,plain,
    ( spl4_409
    | ~ spl4_471
    | ~ spl4_687 ),
    inference(avatar_split_clause,[],[f45727,f43084,f36525,f26839]) ).

fof(f26839,plain,
    ( spl4_409
  <=> greater(vd518,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_409])]) ).

fof(f36525,plain,
    ( spl4_471
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_471])]) ).

fof(f43084,plain,
    ( spl4_687
  <=> ! [X0] : greater(vmul(X0,vd519),vmul(X0,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_687])]) ).

fof(f45727,plain,
    ( greater(vd518,vd517)
    | ~ spl4_471
    | ~ spl4_687 ),
    inference(resolution,[],[f43085,f36526]) ).

fof(f36526,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | greater(vd518,X0) )
    | ~ spl4_471 ),
    inference(avatar_component_clause,[],[f36525]) ).

fof(f43085,plain,
    ( ! [X0] : greater(vmul(X0,vd519),vmul(X0,vd520))
    | ~ spl4_687 ),
    inference(avatar_component_clause,[],[f43084]) ).

fof(f50506,plain,
    ( ~ spl4_42
    | ~ spl4_477
    | ~ spl4_687 ),
    inference(avatar_split_clause,[],[f45726,f43084,f36596,f491]) ).

fof(f36596,plain,
    ( spl4_477
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_477])]) ).

fof(f45726,plain,
    ( ~ less(vd518,vd517)
    | ~ spl4_477
    | ~ spl4_687 ),
    inference(resolution,[],[f43085,f36597]) ).

fof(f36597,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) )
    | ~ spl4_477 ),
    inference(avatar_component_clause,[],[f36596]) ).

fof(f50073,plain,
    ( spl4_15
    | ~ spl4_20
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1142,f491,f344,f322]) ).

fof(f1142,plain,
    ( greater(vd517,vd518)
    | ~ spl4_20
    | ~ spl4_42 ),
    inference(resolution,[],[f493,f345]) ).

fof(f493,plain,
    ( less(vd518,vd517)
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f49876,plain,
    ( spl4_537
    | ~ spl4_54
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f46279,f3812,f3808,f1150,f675,f39377]) ).

fof(f39377,plain,
    ( spl4_537
  <=> ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd518,vmul(X0,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_537])]) ).

fof(f46279,plain,
    ( ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd518,vmul(X0,vd520))
    | ~ spl4_54
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(forward_demodulation,[],[f46184,f676]) ).

fof(f46184,plain,
    ( ! [X0] : vmul(vmul(vd517,vd519),X0) = vmul(vd518,vmul(X0,vd520))
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(forward_demodulation,[],[f4153,f3813]) ).

fof(f4153,plain,
    ( ! [X0] : vmul(vmul(vd517,vd519),X0) = vmul(vd520,vmul(vd518,X0))
    | ~ spl4_67
    | ~ spl4_168 ),
    inference(superposition,[],[f3809,f1152]) ).

fof(f46962,plain,
    ( spl4_699
    | ~ spl4_35
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f46476,f1363,f444,f46960]) ).

fof(f46960,plain,
    ( spl4_699
  <=> ! [X0] :
        ( ~ less(X0,vmul(vd517,vd519))
        | less(X0,vmul(vd519,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_699])]) ).

fof(f46476,plain,
    ( ! [X0] :
        ( ~ less(X0,vmul(vd517,vd519))
        | less(X0,vmul(vd519,vd518)) )
    | ~ spl4_35
    | ~ spl4_81 ),
    inference(resolution,[],[f1364,f445]) ).

fof(f46958,plain,
    ( spl4_698
    | ~ spl4_81
    | ~ spl4_203 ),
    inference(avatar_split_clause,[],[f46472,f6454,f1363,f46956]) ).

fof(f46956,plain,
    ( spl4_698
  <=> ! [X0] :
        ( ~ less(vd519,X0)
        | less(vmul(vd517,vd519),vmul(X0,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_698])]) ).

fof(f6454,plain,
    ( spl4_203
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vmul(X0,X3))
        | less(X2,vmul(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_203])]) ).

fof(f46472,plain,
    ( ! [X0] :
        ( ~ less(vd519,X0)
        | less(vmul(vd517,vd519),vmul(X0,vd518)) )
    | ~ spl4_81
    | ~ spl4_203 ),
    inference(resolution,[],[f1364,f6455]) ).

fof(f6455,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X2,vmul(X0,X3))
        | ~ less(X0,X1)
        | less(X2,vmul(X1,X3)) )
    | ~ spl4_203 ),
    inference(avatar_component_clause,[],[f6454]) ).

fof(f46885,plain,
    ( ~ spl4_15
    | spl4_89
    | ~ spl4_149 ),
    inference(avatar_split_clause,[],[f3304,f2785,f1413,f322]) ).

fof(f1413,plain,
    ( spl4_89
  <=> greater(vmul(vd517,vd519),vmul(vd519,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

fof(f2785,plain,
    ( spl4_149
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_149])]) ).

fof(f3304,plain,
    ( ~ greater(vd517,vd518)
    | spl4_89
    | ~ spl4_149 ),
    inference(resolution,[],[f2786,f1415]) ).

fof(f1415,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd519,vd518))
    | spl4_89 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f2786,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_149 ),
    inference(avatar_component_clause,[],[f2785]) ).

fof(f46577,plain,
    ( ~ spl4_697
    | ~ spl4_67
    | spl4_696 ),
    inference(avatar_split_clause,[],[f46572,f46568,f1150,f46574]) ).

fof(f46574,plain,
    ( spl4_697
  <=> greater(vd519,vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_697])]) ).

fof(f46568,plain,
    ( spl4_696
  <=> greater(vd519,vmul(vd518,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_696])]) ).

fof(f46572,plain,
    ( ~ greater(vd519,vmul(vd517,vd519))
    | ~ spl4_67
    | spl4_696 ),
    inference(forward_demodulation,[],[f46570,f1152]) ).

fof(f46570,plain,
    ( ~ greater(vd519,vmul(vd518,vd520))
    | spl4_696 ),
    inference(avatar_component_clause,[],[f46568]) ).

fof(f46571,plain,
    ( ~ spl4_696
    | ~ spl4_518
    | spl4_1
    | ~ spl4_184 ),
    inference(avatar_split_clause,[],[f6001,f3902,f264,f37708,f46568]) ).

fof(f264,plain,
    ( spl4_1
  <=> greater(vmul(vd517,vd519),vmul(vd518,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f6001,plain,
    ( ~ greater(vd517,v1)
    | ~ greater(vd519,vmul(vd518,vd520))
    | spl4_1
    | ~ spl4_184 ),
    inference(resolution,[],[f3903,f266]) ).

fof(f266,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd518,vd520))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f46560,plain,
    ( spl4_695
    | ~ spl4_67
    | ~ spl4_693 ),
    inference(avatar_split_clause,[],[f46513,f46509,f1150,f46557]) ).

fof(f46557,plain,
    ( spl4_695
  <=> greater(vmul(vd517,vd519),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_695])]) ).

fof(f46509,plain,
    ( spl4_693
  <=> greater(vmul(vd518,vd520),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_693])]) ).

fof(f46513,plain,
    ( greater(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_693 ),
    inference(forward_demodulation,[],[f46511,f1152]) ).

fof(f46511,plain,
    ( greater(vmul(vd518,vd520),vmul(vd517,vd519))
    | ~ spl4_693 ),
    inference(avatar_component_clause,[],[f46509]) ).

fof(f46555,plain,
    ( spl4_694
    | ~ spl4_22
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f46475,f1363,f352,f46552]) ).

fof(f46552,plain,
    ( spl4_694
  <=> leq(vmul(vd517,vd519),vmul(vd519,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_694])]) ).

fof(f46475,plain,
    ( leq(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_22
    | ~ spl4_81 ),
    inference(resolution,[],[f1364,f353]) ).

fof(f46548,plain,
    ( spl4_690
    | ~ spl4_67
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f46285,f1154,f1150,f45858]) ).

fof(f45858,plain,
    ( spl4_690
  <=> less(vmul(vd517,vd519),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_690])]) ).

fof(f1154,plain,
    ( spl4_68
  <=> less(vmul(vd517,vd519),vmul(vd518,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).

fof(f46285,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_68 ),
    inference(superposition,[],[f1156,f1152]) ).

fof(f1156,plain,
    ( less(vmul(vd517,vd519),vmul(vd518,vd520))
    | ~ spl4_68 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f46512,plain,
    ( spl4_693
    | ~ spl4_20
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f1284,f1154,f344,f46509]) ).

fof(f1284,plain,
    ( greater(vmul(vd518,vd520),vmul(vd517,vd519))
    | ~ spl4_20
    | ~ spl4_68 ),
    inference(resolution,[],[f1156,f345]) ).

fof(f46466,plain,
    ( spl4_690
    | ~ spl4_25
    | ~ spl4_81
    | ~ spl4_82 ),
    inference(avatar_split_clause,[],[f46209,f1368,f1363,f377,f45858]) ).

fof(f1368,plain,
    ( spl4_82
  <=> vmul(vd517,vd519) = vmul(vd518,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f46209,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_25
    | ~ spl4_81
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f1364,f45978]) ).

fof(f45978,plain,
    ( vmul(vd517,vd519) = vmul(vd519,vd518)
    | ~ spl4_25
    | ~ spl4_82 ),
    inference(superposition,[],[f378,f1370]) ).

fof(f1370,plain,
    ( vmul(vd517,vd519) = vmul(vd518,vd519)
    | ~ spl4_82 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f46275,plain,
    ( ~ spl4_77
    | ~ spl4_685 ),
    inference(avatar_contradiction_clause,[],[f46274]) ).

fof(f46274,plain,
    ( $false
    | ~ spl4_77
    | ~ spl4_685 ),
    inference(trivial_inequality_removal,[],[f46268]) ).

fof(f46268,plain,
    ( ! [X0] : vplus(X0,vd519) != vplus(X0,vd519)
    | ~ spl4_77
    | ~ spl4_685 ),
    inference(superposition,[],[f43077,f1297]) ).

fof(f1297,plain,
    ( vd519 = vd520
    | ~ spl4_77 ),
    inference(avatar_component_clause,[],[f1295]) ).

fof(f43077,plain,
    ( ! [X0] : vplus(X0,vd520) != vplus(X0,vd519)
    | ~ spl4_685 ),
    inference(avatar_component_clause,[],[f43076]) ).

fof(f43076,plain,
    ( spl4_685
  <=> ! [X0] : vplus(X0,vd520) != vplus(X0,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_685])]) ).

fof(f46273,plain,
    ( ~ spl4_77
    | ~ spl4_688 ),
    inference(avatar_contradiction_clause,[],[f46272]) ).

fof(f46272,plain,
    ( $false
    | ~ spl4_77
    | ~ spl4_688 ),
    inference(trivial_inequality_removal,[],[f46271]) ).

fof(f46271,plain,
    ( ! [X0] : vmul(X0,vd519) != vmul(X0,vd519)
    | ~ spl4_77
    | ~ spl4_688 ),
    inference(superposition,[],[f43089,f1297]) ).

fof(f43089,plain,
    ( ! [X0] : vmul(X0,vd520) != vmul(X0,vd519)
    | ~ spl4_688 ),
    inference(avatar_component_clause,[],[f43088]) ).

fof(f43088,plain,
    ( spl4_688
  <=> ! [X0] : vmul(X0,vd520) != vmul(X0,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_688])]) ).

fof(f46203,plain,
    ( spl4_690
    | ~ spl4_81
    | ~ spl4_105 ),
    inference(avatar_split_clause,[],[f45938,f1703,f1363,f45858]) ).

fof(f1703,plain,
    ( spl4_105
  <=> vmul(vd517,vd519) = vmul(vd519,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_105])]) ).

fof(f45938,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_81
    | ~ spl4_105 ),
    inference(forward_demodulation,[],[f1364,f1704]) ).

fof(f1704,plain,
    ( vmul(vd517,vd519) = vmul(vd519,vd518)
    | ~ spl4_105 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f46138,plain,
    ( ~ spl4_82
    | spl4_67
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1385,f1295,f1150,f1368]) ).

fof(f1385,plain,
    ( vmul(vd517,vd519) != vmul(vd518,vd519)
    | spl4_67
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1151,f1297]) ).

fof(f1151,plain,
    ( vmul(vd517,vd519) != vmul(vd518,vd520)
    | spl4_67 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f45916,plain,
    ( ~ spl4_687
    | spl4_691 ),
    inference(avatar_contradiction_clause,[],[f45908]) ).

fof(f45908,plain,
    ( $false
    | ~ spl4_687
    | spl4_691 ),
    inference(resolution,[],[f45880,f43085]) ).

fof(f45880,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd517,vd520))
    | spl4_691 ),
    inference(avatar_component_clause,[],[f45878]) ).

fof(f45878,plain,
    ( spl4_691
  <=> greater(vmul(vd517,vd519),vmul(vd517,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_691])]) ).

fof(f45904,plain,
    ( spl4_692
    | ~ spl4_20
    | ~ spl4_68
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f45849,f3822,f1154,f344,f45901]) ).

fof(f45849,plain,
    ( greater(vmul(vd517,vd520),vmul(vd517,vd519))
    | ~ spl4_20
    | ~ spl4_68
    | ~ spl4_171 ),
    inference(forward_demodulation,[],[f1284,f3824]) ).

fof(f3824,plain,
    ( vd517 = vd518
    | ~ spl4_171 ),
    inference(avatar_component_clause,[],[f3822]) ).

fof(f45882,plain,
    ( spl4_617
    | ~ spl4_171
    | ~ spl4_471
    | ~ spl4_687 ),
    inference(avatar_split_clause,[],[f45753,f43084,f36525,f3822,f41454]) ).

fof(f41454,plain,
    ( spl4_617
  <=> greater(vd517,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_617])]) ).

fof(f45753,plain,
    ( greater(vd517,vd517)
    | ~ spl4_171
    | ~ spl4_471
    | ~ spl4_687 ),
    inference(forward_demodulation,[],[f45727,f3824]) ).

fof(f45881,plain,
    ( ~ spl4_691
    | spl4_1
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f37368,f3822,f264,f45878]) ).

fof(f37368,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd517,vd520))
    | spl4_1
    | ~ spl4_171 ),
    inference(superposition,[],[f266,f3824]) ).

fof(f45876,plain,
    ( spl4_521
    | ~ spl4_68
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f45854,f3822,f1154,f37787]) ).

fof(f45854,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd520))
    | ~ spl4_68
    | ~ spl4_171 ),
    inference(forward_demodulation,[],[f1156,f3824]) ).

fof(f45874,plain,
    ( ~ spl4_3
    | ~ spl4_690 ),
    inference(avatar_contradiction_clause,[],[f45864]) ).

fof(f45864,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_690 ),
    inference(resolution,[],[f45860,f274]) ).

fof(f45860,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_690 ),
    inference(avatar_component_clause,[],[f45858]) ).

fof(f45861,plain,
    ( spl4_690
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_68
    | ~ spl4_171
    | ~ spl4_550 ),
    inference(avatar_split_clause,[],[f45855,f40230,f3822,f1154,f301,f289,f45858]) ).

fof(f40230,plain,
    ( spl4_550
  <=> ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd517,vmul(X0,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_550])]) ).

fof(f45855,plain,
    ( less(vmul(vd517,vd519),vmul(vd517,vd519))
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_68
    | ~ spl4_171
    | ~ spl4_550 ),
    inference(forward_demodulation,[],[f45854,f40534]) ).

fof(f40534,plain,
    ( vmul(vd517,vd519) = vmul(vd517,vd520)
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_550 ),
    inference(forward_demodulation,[],[f40247,f302]) ).

fof(f40247,plain,
    ( vmul(vd517,vd520) = vmul(vd517,vmul(vd519,v1))
    | ~ spl4_7
    | ~ spl4_550 ),
    inference(superposition,[],[f40231,f290]) ).

fof(f40231,plain,
    ( ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd517,vmul(X0,vd520))
    | ~ spl4_550 ),
    inference(avatar_component_clause,[],[f40230]) ).

fof(f45783,plain,
    ( ~ spl4_67
    | ~ spl4_171
    | ~ spl4_688 ),
    inference(avatar_contradiction_clause,[],[f45782]) ).

fof(f45782,plain,
    ( $false
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_688 ),
    inference(trivial_inequality_removal,[],[f45781]) ).

fof(f45781,plain,
    ( vmul(vd517,vd519) != vmul(vd517,vd519)
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_688 ),
    inference(forward_demodulation,[],[f45774,f3824]) ).

fof(f45774,plain,
    ( vmul(vd517,vd519) != vmul(vd518,vd519)
    | ~ spl4_67
    | ~ spl4_688 ),
    inference(superposition,[],[f43089,f1152]) ).

fof(f45778,plain,
    ( ~ spl4_520
    | ~ spl4_688 ),
    inference(avatar_contradiction_clause,[],[f45777]) ).

fof(f45777,plain,
    ( $false
    | ~ spl4_520
    | ~ spl4_688 ),
    inference(trivial_inequality_removal,[],[f45771]) ).

fof(f45771,plain,
    ( vmul(vd517,vd519) != vmul(vd517,vd519)
    | ~ spl4_520
    | ~ spl4_688 ),
    inference(superposition,[],[f43089,f37784]) ).

fof(f37784,plain,
    ( vmul(vd517,vd519) = vmul(vd517,vd520)
    | ~ spl4_520 ),
    inference(avatar_component_clause,[],[f37782]) ).

fof(f37782,plain,
    ( spl4_520
  <=> vmul(vd517,vd519) = vmul(vd517,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_520])]) ).

fof(f45493,plain,
    ( spl4_200
    | ~ spl4_21
    | ~ spl4_111
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f37800,f3822,f1893,f348,f6143]) ).

fof(f37800,plain,
    ( less(vd517,vd519)
    | ~ spl4_21
    | ~ spl4_111
    | ~ spl4_171 ),
    inference(forward_demodulation,[],[f37792,f3824]) ).

fof(f44934,plain,
    ( spl4_267
    | ~ spl4_111
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f37799,f3822,f1893,f8536]) ).

fof(f37799,plain,
    ( greater(vd519,vd517)
    | ~ spl4_111
    | ~ spl4_171 ),
    inference(superposition,[],[f1894,f3824]) ).

fof(f43094,plain,
    ( spl4_689
    | ~ spl4_132
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37441,f37391,f1991,f43092]) ).

fof(f43092,plain,
    ( spl4_689
  <=> ! [X0] : less(vmul(X0,vd520),vmul(X0,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_689])]) ).

fof(f37441,plain,
    ( ! [X0] : less(vmul(X0,vd520),vmul(X0,vd519))
    | ~ spl4_132
    | ~ spl4_515 ),
    inference(superposition,[],[f1992,f37393]) ).

fof(f43090,plain,
    ( spl4_688
    | ~ spl4_131
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37440,f37391,f1986,f43088]) ).

fof(f37440,plain,
    ( ! [X0] : vmul(X0,vd520) != vmul(X0,vd519)
    | ~ spl4_131
    | ~ spl4_515 ),
    inference(superposition,[],[f1987,f37393]) ).

fof(f43086,plain,
    ( spl4_687
    | ~ spl4_130
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37439,f37391,f1982,f43084]) ).

fof(f37439,plain,
    ( ! [X0] : greater(vmul(X0,vd519),vmul(X0,vd520))
    | ~ spl4_130
    | ~ spl4_515 ),
    inference(superposition,[],[f1983,f37393]) ).

fof(f43082,plain,
    ( spl4_686
    | ~ spl4_117
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37437,f37391,f1929,f43080]) ).

fof(f43080,plain,
    ( spl4_686
  <=> ! [X0] : less(vplus(X0,vd520),vplus(X0,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_686])]) ).

fof(f37437,plain,
    ( ! [X0] : less(vplus(X0,vd520),vplus(X0,vd519))
    | ~ spl4_117
    | ~ spl4_515 ),
    inference(superposition,[],[f1930,f37393]) ).

fof(f43078,plain,
    ( spl4_685
    | ~ spl4_116
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37435,f37391,f1925,f43076]) ).

fof(f37435,plain,
    ( ! [X0] : vplus(X0,vd520) != vplus(X0,vd519)
    | ~ spl4_116
    | ~ spl4_515 ),
    inference(superposition,[],[f1926,f37393]) ).

fof(f43074,plain,
    ( spl4_684
    | ~ spl4_115
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37434,f37391,f1921,f43072]) ).

fof(f43072,plain,
    ( spl4_684
  <=> ! [X0] : greater(vplus(X0,vd519),vplus(X0,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_684])]) ).

fof(f37434,plain,
    ( ! [X0] : greater(vplus(X0,vd519),vplus(X0,vd520))
    | ~ spl4_115
    | ~ spl4_515 ),
    inference(superposition,[],[f1922,f37393]) ).

fof(f43070,plain,
    ( spl4_683
    | ~ spl4_85
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37430,f37391,f1397,f43068]) ).

fof(f43068,plain,
    ( spl4_683
  <=> ! [X0] : sK3(vd520,vd519) != vplus(X0,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_683])]) ).

fof(f37430,plain,
    ( ! [X0] : sK3(vd520,vd519) != vplus(X0,vd519)
    | ~ spl4_85
    | ~ spl4_515 ),
    inference(superposition,[],[f1398,f37393]) ).

fof(f43066,plain,
    ( spl4_682
    | ~ spl4_79
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37428,f37391,f1325,f43064]) ).

fof(f43064,plain,
    ( spl4_682
  <=> ! [X0] : sK3(vd520,vd519) != vplus(vd519,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_682])]) ).

fof(f37428,plain,
    ( ! [X0] : sK3(vd520,vd519) != vplus(vd519,X0)
    | ~ spl4_79
    | ~ spl4_515 ),
    inference(superposition,[],[f1326,f37393]) ).

fof(f43062,plain,
    ( spl4_681
    | ~ spl4_72
    | ~ spl4_197 ),
    inference(avatar_split_clause,[],[f6314,f6096,f1194,f43060]) ).

fof(f43060,plain,
    ( spl4_681
  <=> ! [X0,X1] : leq(vplus(X0,v1),vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_681])]) ).

fof(f6096,plain,
    ( spl4_197
  <=> ! [X2,X0,X1] :
        ( ~ less(X2,vplus(X0,vplus(X1,v1)))
        | leq(X2,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_197])]) ).

fof(f6314,plain,
    ( ! [X0,X1] : leq(vplus(X0,v1),vplus(X1,X0))
    | ~ spl4_72
    | ~ spl4_197 ),
    inference(resolution,[],[f6097,f1195]) ).

fof(f6097,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X2,vplus(X0,vplus(X1,v1)))
        | leq(X2,vplus(X0,X1)) )
    | ~ spl4_197 ),
    inference(avatar_component_clause,[],[f6096]) ).

fof(f43058,plain,
    ( spl4_680
    | ~ spl4_73
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5815,f3886,f1198,f43056]) ).

fof(f43056,plain,
    ( spl4_680
  <=> ! [X0,X1] : greater(vmul(X0,vplus(X1,v1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_680])]) ).

fof(f5815,plain,
    ( ! [X0,X1] : greater(vmul(X0,vplus(X1,v1)),X0)
    | ~ spl4_73
    | ~ spl4_180 ),
    inference(superposition,[],[f1199,f3887]) ).

fof(f43054,plain,
    ( spl4_679
    | ~ spl4_454
    | ~ spl4_505 ),
    inference(avatar_split_clause,[],[f42465,f36913,f36229,f43051]) ).

fof(f43051,plain,
    ( spl4_679
  <=> greater(vd520,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_679])]) ).

fof(f36229,plain,
    ( spl4_454
  <=> greater(vmul(vd517,vd517),vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_454])]) ).

fof(f36913,plain,
    ( spl4_505
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd517),X0)
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_505])]) ).

fof(f42465,plain,
    ( greater(vd520,vd520)
    | ~ spl4_454
    | ~ spl4_505 ),
    inference(resolution,[],[f36230,f36914]) ).

fof(f36914,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd517),X0)
        | greater(vd520,X0) )
    | ~ spl4_505 ),
    inference(avatar_component_clause,[],[f36913]) ).

fof(f36230,plain,
    ( greater(vmul(vd517,vd517),vd520)
    | ~ spl4_454 ),
    inference(avatar_component_clause,[],[f36229]) ).

fof(f43049,plain,
    ( spl4_678
    | ~ spl4_72
    | ~ spl4_180 ),
    inference(avatar_split_clause,[],[f5814,f3886,f1194,f43047]) ).

fof(f43047,plain,
    ( spl4_678
  <=> ! [X0,X1] : less(X0,vmul(X0,vplus(X1,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_678])]) ).

fof(f5814,plain,
    ( ! [X0,X1] : less(X0,vmul(X0,vplus(X1,v1)))
    | ~ spl4_72
    | ~ spl4_180 ),
    inference(superposition,[],[f1195,f3887]) ).

fof(f43045,plain,
    ( spl4_677
    | ~ spl4_71
    | ~ spl4_179 ),
    inference(avatar_split_clause,[],[f5653,f3882,f1190,f43043]) ).

fof(f43043,plain,
    ( spl4_677
  <=> ! [X0,X1] : geq(vmul(X0,vplus(v1,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_677])]) ).

fof(f5653,plain,
    ( ! [X0,X1] : geq(vmul(X0,vplus(v1,X1)),X0)
    | ~ spl4_71
    | ~ spl4_179 ),
    inference(superposition,[],[f1191,f3883]) ).

fof(f43041,plain,
    ( spl4_676
    | ~ spl4_70
    | ~ spl4_179 ),
    inference(avatar_split_clause,[],[f5652,f3882,f1186,f43039]) ).

fof(f43039,plain,
    ( spl4_676
  <=> ! [X0,X1] : leq(X0,vmul(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_676])]) ).

fof(f5652,plain,
    ( ! [X0,X1] : leq(X0,vmul(X0,vplus(v1,X1)))
    | ~ spl4_70
    | ~ spl4_179 ),
    inference(superposition,[],[f1187,f3883]) ).

fof(f43037,plain,
    ( spl4_675
    | ~ spl4_69
    | ~ spl4_179 ),
    inference(avatar_split_clause,[],[f5651,f3882,f1182,f43035]) ).

fof(f43035,plain,
    ( spl4_675
  <=> ! [X0,X1] : ~ greater(X0,vmul(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_675])]) ).

fof(f5651,plain,
    ( ! [X0,X1] : ~ greater(X0,vmul(X0,vplus(v1,X1)))
    | ~ spl4_69
    | ~ spl4_179 ),
    inference(superposition,[],[f1183,f3883]) ).

fof(f43033,plain,
    ( spl4_674
    | ~ spl4_71
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5165,f3861,f1190,f43031]) ).

fof(f43031,plain,
    ( spl4_674
  <=> ! [X0,X1] : geq(vmul(vplus(v1,X1),X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_674])]) ).

fof(f5165,plain,
    ( ! [X0,X1] : geq(vmul(vplus(v1,X1),X0),X0)
    | ~ spl4_71
    | ~ spl4_175 ),
    inference(superposition,[],[f1191,f3862]) ).

fof(f43029,plain,
    ( spl4_673
    | ~ spl4_70
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5164,f3861,f1186,f43027]) ).

fof(f43027,plain,
    ( spl4_673
  <=> ! [X0,X1] : leq(X0,vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_673])]) ).

fof(f5164,plain,
    ( ! [X0,X1] : leq(X0,vmul(vplus(v1,X1),X0))
    | ~ spl4_70
    | ~ spl4_175 ),
    inference(superposition,[],[f1187,f3862]) ).

fof(f43020,plain,
    ( spl4_672
    | ~ spl4_30
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f615,f440,f417,f43018]) ).

fof(f43018,plain,
    ( spl4_672
  <=> ! [X0] :
        ( ~ leq(X0,vd520)
        | leq(X0,vd519) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_672])]) ).

fof(f417,plain,
    ( spl4_30
  <=> leq(vd520,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f615,plain,
    ( ! [X0] :
        ( ~ leq(X0,vd520)
        | leq(X0,vd519) )
    | ~ spl4_30
    | ~ spl4_34 ),
    inference(resolution,[],[f419,f441]) ).

fof(f419,plain,
    ( leq(vd520,vd519)
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f43011,plain,
    ( spl4_30
    | ~ spl4_14
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f42494,f340,f317,f417]) ).

fof(f317,plain,
    ( spl4_14
  <=> geq(vd519,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f42494,plain,
    ( leq(vd520,vd519)
    | ~ spl4_14
    | ~ spl4_19 ),
    inference(resolution,[],[f319,f341]) ).

fof(f319,plain,
    ( geq(vd519,vd520)
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f43010,plain,
    ( spl4_671
    | ~ spl4_5
    | ~ spl4_640 ),
    inference(avatar_split_clause,[],[f42444,f42441,f281,f43008]) ).

fof(f43008,plain,
    ( spl4_671
  <=> ! [X0] : leq(vd520,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_671])]) ).

fof(f281,plain,
    ( spl4_5
  <=> ! [X1] : leq(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f42441,plain,
    ( spl4_640
  <=> ! [X0,X1] :
        ( ~ leq(X0,vd520)
        | leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_640])]) ).

fof(f42444,plain,
    ( ! [X0] : leq(vd520,X0)
    | ~ spl4_5
    | ~ spl4_640 ),
    inference(resolution,[],[f42442,f282]) ).

fof(f282,plain,
    ( ! [X1] : leq(X1,X1)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f42442,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,vd520)
        | leq(X0,X1) )
    | ~ spl4_640 ),
    inference(avatar_component_clause,[],[f42441]) ).

fof(f43006,plain,
    ( spl4_670
    | ~ spl4_69
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5163,f3861,f1182,f43004]) ).

fof(f43004,plain,
    ( spl4_670
  <=> ! [X0,X1] : ~ greater(X0,vmul(vplus(v1,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_670])]) ).

fof(f5163,plain,
    ( ! [X0,X1] : ~ greater(X0,vmul(vplus(v1,X1),X0))
    | ~ spl4_69
    | ~ spl4_175 ),
    inference(superposition,[],[f1183,f3862]) ).

fof(f43002,plain,
    ( spl4_669
    | ~ spl4_71
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4821,f3849,f1190,f43000]) ).

fof(f43000,plain,
    ( spl4_669
  <=> ! [X2,X0,X1] : geq(vplus(X1,vplus(X2,X0)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_669])]) ).

fof(f4821,plain,
    ( ! [X2,X0,X1] : geq(vplus(X1,vplus(X2,X0)),X0)
    | ~ spl4_71
    | ~ spl4_172 ),
    inference(superposition,[],[f1191,f3850]) ).

fof(f42998,plain,
    ( spl4_668
    | ~ spl4_70
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4820,f3849,f1186,f42996]) ).

fof(f42996,plain,
    ( spl4_668
  <=> ! [X2,X0,X1] : leq(X0,vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_668])]) ).

fof(f4820,plain,
    ( ! [X2,X0,X1] : leq(X0,vplus(X1,vplus(X2,X0)))
    | ~ spl4_70
    | ~ spl4_172 ),
    inference(superposition,[],[f1187,f3850]) ).

fof(f42994,plain,
    ( spl4_667
    | ~ spl4_69
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4819,f3849,f1182,f42992]) ).

fof(f42992,plain,
    ( spl4_667
  <=> ! [X2,X0,X1] : ~ greater(X0,vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_667])]) ).

fof(f4819,plain,
    ( ! [X2,X0,X1] : ~ greater(X0,vplus(X1,vplus(X2,X0)))
    | ~ spl4_69
    | ~ spl4_172 ),
    inference(superposition,[],[f1183,f3850]) ).

fof(f42990,plain,
    ( spl4_666
    | ~ spl4_71
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4707,f3849,f1190,f42988]) ).

fof(f42988,plain,
    ( spl4_666
  <=> ! [X2,X0,X1] : geq(vplus(X2,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_666])]) ).

fof(f4707,plain,
    ( ! [X2,X0,X1] : geq(vplus(X2,vplus(X0,X1)),X0)
    | ~ spl4_71
    | ~ spl4_172 ),
    inference(superposition,[],[f1191,f3850]) ).

fof(f42986,plain,
    ( spl4_665
    | ~ spl4_70
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4706,f3849,f1186,f42984]) ).

fof(f42984,plain,
    ( spl4_665
  <=> ! [X2,X0,X1] : leq(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_665])]) ).

fof(f4706,plain,
    ( ! [X2,X0,X1] : leq(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_70
    | ~ spl4_172 ),
    inference(superposition,[],[f1187,f3850]) ).

fof(f42982,plain,
    ( spl4_664
    | ~ spl4_69
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4705,f3849,f1182,f42980]) ).

fof(f42980,plain,
    ( spl4_664
  <=> ! [X2,X0,X1] : ~ greater(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_664])]) ).

fof(f4705,plain,
    ( ! [X2,X0,X1] : ~ greater(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_69
    | ~ spl4_172 ),
    inference(superposition,[],[f1183,f3850]) ).

fof(f42978,plain,
    ( spl4_663
    | ~ spl4_12
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4680,f3849,f309,f42976]) ).

fof(f42976,plain,
    ( spl4_663
  <=> ! [X2,X0,X1] : less(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_663])]) ).

fof(f309,plain,
    ( spl4_12
  <=> ! [X2,X1] : less(X1,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f4680,plain,
    ( ! [X2,X0,X1] : less(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_12
    | ~ spl4_172 ),
    inference(superposition,[],[f310,f3850]) ).

fof(f310,plain,
    ( ! [X2,X1] : less(X1,vplus(X1,X2))
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f42974,plain,
    ( spl4_662
    | ~ spl4_9
    | ~ spl4_172 ),
    inference(avatar_split_clause,[],[f4678,f3849,f297,f42972]) ).

fof(f42972,plain,
    ( spl4_662
  <=> ! [X2,X0,X1] : greater(vplus(X2,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_662])]) ).

fof(f4678,plain,
    ( ! [X2,X0,X1] : greater(vplus(X2,vplus(X0,X1)),X0)
    | ~ spl4_9
    | ~ spl4_172 ),
    inference(superposition,[],[f298,f3850]) ).

fof(f42970,plain,
    ( spl4_661
    | ~ spl4_96
    | ~ spl4_117 ),
    inference(avatar_split_clause,[],[f2103,f1929,f1667,f42968]) ).

fof(f42968,plain,
    ( spl4_661
  <=> ! [X0,X1] : leq(vplus(v1,X0),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_661])]) ).

fof(f2103,plain,
    ( ! [X0,X1] : leq(vplus(v1,X0),vplus(X0,X1))
    | ~ spl4_96
    | ~ spl4_117 ),
    inference(resolution,[],[f1930,f1668]) ).

fof(f42954,plain,
    ( spl4_660
    | ~ spl4_26
    | ~ spl4_92 ),
    inference(avatar_split_clause,[],[f1600,f1426,f381,f42952]) ).

fof(f42952,plain,
    ( spl4_660
  <=> ! [X0,X1] : vmul(X1,vplus(X0,v1)) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_660])]) ).

fof(f1600,plain,
    ( ! [X0,X1] : vmul(X1,vplus(X0,v1)) != X1
    | ~ spl4_26
    | ~ spl4_92 ),
    inference(superposition,[],[f1427,f382]) ).

fof(f42950,plain,
    ( spl4_659
    | ~ spl4_26
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1490,f1401,f381,f42948]) ).

fof(f42948,plain,
    ( spl4_659
  <=> ! [X0,X1] : vmul(vplus(X0,v1),X1) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_659])]) ).

fof(f1490,plain,
    ( ! [X0,X1] : vmul(vplus(X0,v1),X1) != X1
    | ~ spl4_26
    | ~ spl4_86 ),
    inference(superposition,[],[f1402,f382]) ).

fof(f42946,plain,
    ( spl4_658
    | ~ spl4_38
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1275,f1198,f456,f42944]) ).

fof(f42944,plain,
    ( spl4_658
  <=> ! [X0] :
        ( greater(X0,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_658])]) ).

fof(f1275,plain,
    ( ! [X0] :
        ( greater(X0,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_73 ),
    inference(superposition,[],[f1199,f457]) ).

fof(f42942,plain,
    ( spl4_657
    | ~ spl4_55
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1274,f1198,f679,f42940]) ).

fof(f42940,plain,
    ( spl4_657
  <=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_657])]) ).

fof(f1274,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2)
    | ~ spl4_55
    | ~ spl4_73 ),
    inference(superposition,[],[f1199,f680]) ).

fof(f42938,plain,
    ( spl4_656
    | ~ spl4_58
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1272,f1198,f696,f42936]) ).

fof(f42936,plain,
    ( spl4_656
  <=> ! [X0,X1] : greater(vmul(X0,vplus(v1,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_656])]) ).

fof(f1272,plain,
    ( ! [X0,X1] : greater(vmul(X0,vplus(v1,X1)),X0)
    | ~ spl4_58
    | ~ spl4_73 ),
    inference(superposition,[],[f1199,f697]) ).

fof(f42934,plain,
    ( spl4_655
    | ~ spl4_56
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1271,f1198,f683,f42932]) ).

fof(f42932,plain,
    ( spl4_655
  <=> ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_655])]) ).

fof(f1271,plain,
    ( ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),X1)
    | ~ spl4_56
    | ~ spl4_73 ),
    inference(superposition,[],[f1199,f684]) ).

fof(f42930,plain,
    ( spl4_654
    | ~ spl4_38
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1261,f1194,f456,f42928]) ).

fof(f42928,plain,
    ( spl4_654
  <=> ! [X0] :
        ( less(vskolem2(X0),X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_654])]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( less(vskolem2(X0),X0)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_72 ),
    inference(superposition,[],[f1195,f457]) ).

fof(f42926,plain,
    ( spl4_653
    | ~ spl4_55
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1260,f1194,f679,f42924]) ).

fof(f42924,plain,
    ( spl4_653
  <=> ! [X2,X0,X1] : less(X2,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_653])]) ).

fof(f1260,plain,
    ( ! [X2,X0,X1] : less(X2,vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_72 ),
    inference(superposition,[],[f1195,f680]) ).

fof(f42922,plain,
    ( spl4_652
    | ~ spl4_58
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1258,f1194,f696,f42920]) ).

fof(f42920,plain,
    ( spl4_652
  <=> ! [X0,X1] : less(X0,vmul(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_652])]) ).

fof(f1258,plain,
    ( ! [X0,X1] : less(X0,vmul(X0,vplus(v1,X1)))
    | ~ spl4_58
    | ~ spl4_72 ),
    inference(superposition,[],[f1195,f697]) ).

fof(f42918,plain,
    ( spl4_651
    | ~ spl4_56
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1257,f1194,f683,f42916]) ).

fof(f42916,plain,
    ( spl4_651
  <=> ! [X0,X1] : less(X1,vmul(vplus(v1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_651])]) ).

fof(f1257,plain,
    ( ! [X0,X1] : less(X1,vmul(vplus(v1,X0),X1))
    | ~ spl4_56
    | ~ spl4_72 ),
    inference(superposition,[],[f1195,f684]) ).

fof(f42904,plain,
    ( ~ spl4_4
    | ~ spl4_617 ),
    inference(avatar_contradiction_clause,[],[f42895]) ).

fof(f42895,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_617 ),
    inference(resolution,[],[f41456,f278]) ).

fof(f41456,plain,
    ( greater(vd517,vd517)
    | ~ spl4_617 ),
    inference(avatar_component_clause,[],[f41454]) ).

fof(f42894,plain,
    ( spl4_650
    | ~ spl4_39
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f690,f487,f460,f42891]) ).

fof(f42891,plain,
    ( spl4_650
  <=> vd519 = vplus(vd520,sK2(vd519,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_650])]) ).

fof(f460,plain,
    ( spl4_39
  <=> less(vd520,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f690,plain,
    ( vd519 = vplus(vd520,sK2(vd519,vd520))
    | ~ spl4_39
    | ~ spl4_41 ),
    inference(resolution,[],[f462,f488]) ).

fof(f462,plain,
    ( less(vd520,vd519)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f42524,plain,
    ( spl4_77
    | ~ spl4_649
    | ~ spl4_98
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37662,f37391,f1675,f42521,f1295]) ).

fof(f42521,plain,
    ( spl4_649
  <=> vd519 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_649])]) ).

fof(f37662,plain,
    ( vd519 != v1
    | vd519 = vd520
    | ~ spl4_98
    | ~ spl4_515 ),
    inference(inner_rewriting,[],[f37432]) ).

fof(f37432,plain,
    ( vd519 != v1
    | vd520 = v1
    | ~ spl4_98
    | ~ spl4_515 ),
    inference(superposition,[],[f1676,f37393]) ).

fof(f42519,plain,
    ( spl4_648
    | ~ spl4_4
    | ~ spl4_220 ),
    inference(avatar_split_clause,[],[f8004,f6526,f277,f42517]) ).

fof(f8004,plain,
    ( ! [X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X1,X0) )
    | ~ spl4_4
    | ~ spl4_220 ),
    inference(resolution,[],[f6527,f278]) ).

fof(f42515,plain,
    ( spl4_647
    | ~ spl4_4
    | ~ spl4_214 ),
    inference(avatar_split_clause,[],[f7641,f6502,f277,f42513]) ).

fof(f7641,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X1,X0) )
    | ~ spl4_4
    | ~ spl4_214 ),
    inference(resolution,[],[f6503,f278]) ).

fof(f42511,plain,
    ( spl4_646
    | ~ spl4_137
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2934,f2736,f2732,f42509]) ).

fof(f2934,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X1,X0) )
    | ~ spl4_137
    | ~ spl4_138 ),
    inference(resolution,[],[f2737,f2733]) ).

fof(f42507,plain,
    ( spl4_645
    | ~ spl4_96
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1762,f1671,f1667,f42505]) ).

fof(f42505,plain,
    ( spl4_645
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_645])]) ).

fof(f1762,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | leq(X0,X1) )
    | ~ spl4_96
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f1668]) ).

fof(f42485,plain,
    ( spl4_644
    | ~ spl4_551
    | ~ spl4_643 ),
    inference(avatar_split_clause,[],[f42481,f42477,f40234,f42483]) ).

fof(f42483,plain,
    ( spl4_644
  <=> ! [X0] :
        ( vd520 = X0
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_644])]) ).

fof(f40234,plain,
    ( spl4_551
  <=> vd520 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_551])]) ).

fof(f42477,plain,
    ( spl4_643
  <=> ! [X0] :
        ( ~ greater(v1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_643])]) ).

fof(f42481,plain,
    ( ! [X0] :
        ( vd520 = X0
        | ~ greater(vd520,X0) )
    | ~ spl4_551
    | ~ spl4_643 ),
    inference(forward_demodulation,[],[f42480,f40236]) ).

fof(f40236,plain,
    ( vd520 = v1
    | ~ spl4_551 ),
    inference(avatar_component_clause,[],[f40234]) ).

fof(f42480,plain,
    ( ! [X0] :
        ( ~ greater(vd520,X0)
        | v1 = X0 )
    | ~ spl4_551
    | ~ spl4_643 ),
    inference(forward_demodulation,[],[f42478,f40236]) ).

fof(f42478,plain,
    ( ! [X0] :
        ( ~ greater(v1,X0)
        | v1 = X0 )
    | ~ spl4_643 ),
    inference(avatar_component_clause,[],[f42477]) ).

fof(f42479,plain,
    ( spl4_643
    | ~ spl4_38
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1215,f1182,f456,f42477]) ).

fof(f1215,plain,
    ( ! [X0] :
        ( ~ greater(v1,X0)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_69 ),
    inference(superposition,[],[f1183,f457]) ).

fof(f42461,plain,
    ( ~ spl4_411
    | ~ spl4_75
    | ~ spl4_185
    | spl4_454
    | spl4_542 ),
    inference(avatar_split_clause,[],[f41147,f39405,f36229,f3906,f1287,f27703]) ).

fof(f27703,plain,
    ( spl4_411
  <=> greater(vd517,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_411])]) ).

fof(f39405,plain,
    ( spl4_542
  <=> greater(vd520,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_542])]) ).

fof(f41147,plain,
    ( ~ greater(vd517,vd520)
    | ~ spl4_75
    | ~ spl4_185
    | spl4_454
    | spl4_542 ),
    inference(duplicate_literal_removal,[],[f40164]) ).

fof(f40164,plain,
    ( ~ greater(vd517,vd520)
    | ~ greater(vd517,vd520)
    | ~ spl4_75
    | ~ spl4_185
    | spl4_454
    | spl4_542 ),
    inference(forward_demodulation,[],[f36233,f39412]) ).

fof(f39412,plain,
    ( vd520 = v1
    | ~ spl4_75
    | spl4_542 ),
    inference(resolution,[],[f39407,f1288]) ).

fof(f39407,plain,
    ( ~ greater(vd520,v1)
    | spl4_542 ),
    inference(avatar_component_clause,[],[f39405]) ).

fof(f36233,plain,
    ( ~ greater(vd517,vd520)
    | ~ greater(vd517,v1)
    | ~ spl4_185
    | spl4_454 ),
    inference(resolution,[],[f36231,f3907]) ).

fof(f36231,plain,
    ( ~ greater(vmul(vd517,vd517),vd520)
    | spl4_454 ),
    inference(avatar_component_clause,[],[f36229]) ).

fof(f42459,plain,
    ( spl4_642
    | ~ spl4_34
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f1146,f1127,f440,f42457]) ).

fof(f42457,plain,
    ( spl4_642
  <=> ! [X0] :
        ( ~ leq(X0,vd518)
        | leq(X0,vd517) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_642])]) ).

fof(f1127,plain,
    ( spl4_66
  <=> leq(vd518,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f1146,plain,
    ( ! [X0] :
        ( ~ leq(X0,vd518)
        | leq(X0,vd517) )
    | ~ spl4_34
    | ~ spl4_66 ),
    inference(resolution,[],[f1129,f441]) ).

fof(f1129,plain,
    ( leq(vd518,vd517)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f42454,plain,
    ( spl4_641
    | ~ spl4_36
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f1145,f1127,f448,f42452]) ).

fof(f42452,plain,
    ( spl4_641
  <=> ! [X0] :
        ( less(vd518,X0)
        | ~ less(vd517,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_641])]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( less(vd518,X0)
        | ~ less(vd517,X0) )
    | ~ spl4_36
    | ~ spl4_66 ),
    inference(resolution,[],[f1129,f449]) ).

fof(f42443,plain,
    ( spl4_640
    | ~ spl4_551
    | ~ spl4_639 ),
    inference(avatar_split_clause,[],[f42439,f42436,f40234,f42441]) ).

fof(f42436,plain,
    ( spl4_639
  <=> ! [X0,X1] :
        ( ~ leq(X0,v1)
        | leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_639])]) ).

fof(f42439,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,vd520)
        | leq(X0,X1) )
    | ~ spl4_551
    | ~ spl4_639 ),
    inference(forward_demodulation,[],[f42437,f40236]) ).

fof(f42437,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,v1)
        | leq(X0,X1) )
    | ~ spl4_639 ),
    inference(avatar_component_clause,[],[f42436]) ).

fof(f42438,plain,
    ( spl4_639
    | ~ spl4_24
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f532,f440,f369,f42436]) ).

fof(f369,plain,
    ( spl4_24
  <=> ! [X0] : leq(v1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f532,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,v1)
        | leq(X0,X1) )
    | ~ spl4_24
    | ~ spl4_34 ),
    inference(resolution,[],[f370,f441]) ).

fof(f370,plain,
    ( ! [X0] : leq(v1,X0)
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f42361,plain,
    ( spl4_638
    | ~ spl4_551
    | ~ spl4_637 ),
    inference(avatar_split_clause,[],[f42357,f42354,f40234,f42359]) ).

fof(f42357,plain,
    ( ! [X0,X1] :
        ( less(vd520,X0)
        | ~ less(X1,X0) )
    | ~ spl4_551
    | ~ spl4_637 ),
    inference(forward_demodulation,[],[f42355,f40236]) ).

fof(f42356,plain,
    ( spl4_637
    | ~ spl4_24
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f531,f448,f369,f42354]) ).

fof(f531,plain,
    ( ! [X0,X1] :
        ( less(v1,X0)
        | ~ less(X1,X0) )
    | ~ spl4_24
    | ~ spl4_36 ),
    inference(resolution,[],[f370,f449]) ).

fof(f42338,plain,
    ( spl4_636
    | ~ spl4_551
    | ~ spl4_635 ),
    inference(avatar_split_clause,[],[f42217,f42214,f40234,f42336]) ).

fof(f42214,plain,
    ( spl4_635
  <=> ! [X0,X1] :
        ( ~ less(X0,v1)
        | less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_635])]) ).

fof(f42217,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vd520)
        | less(X0,X1) )
    | ~ spl4_551
    | ~ spl4_635 ),
    inference(forward_demodulation,[],[f42215,f40236]) ).

fof(f42215,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | less(X0,X1) )
    | ~ spl4_635 ),
    inference(avatar_component_clause,[],[f42214]) ).

fof(f42216,plain,
    ( spl4_635
    | ~ spl4_24
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f530,f452,f369,f42214]) ).

fof(f530,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,v1)
        | less(X0,X1) )
    | ~ spl4_24
    | ~ spl4_37 ),
    inference(resolution,[],[f370,f453]) ).

fof(f42210,plain,
    ( spl4_105
    | spl4_634
    | spl4_81
    | ~ spl4_228 ),
    inference(avatar_split_clause,[],[f8368,f6559,f1363,f42207,f1703]) ).

fof(f42207,plain,
    ( spl4_634
  <=> vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK1(vmul(vd517,vd519),vmul(vd519,vd518))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_634])]) ).

fof(f8368,plain,
    ( vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK1(vmul(vd517,vd519),vmul(vd519,vd518)))
    | vmul(vd517,vd519) = vmul(vd519,vd518)
    | spl4_81
    | ~ spl4_228 ),
    inference(resolution,[],[f6560,f1365]) ).

fof(f1365,plain,
    ( ~ less(vmul(vd517,vd519),vmul(vd519,vd518))
    | spl4_81 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f42203,plain,
    ( spl4_105
    | spl4_633
    | spl4_81
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f8310,f6551,f1363,f42200,f1703]) ).

fof(f42200,plain,
    ( spl4_633
  <=> vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK0(vmul(vd519,vd518),vmul(vd517,vd519))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_633])]) ).

fof(f8310,plain,
    ( vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK0(vmul(vd519,vd518),vmul(vd517,vd519)))
    | vmul(vd517,vd519) = vmul(vd519,vd518)
    | spl4_81
    | ~ spl4_226 ),
    inference(resolution,[],[f6552,f1365]) ).

fof(f42195,plain,
    ( spl4_105
    | spl4_632
    | spl4_81
    | ~ spl4_202 ),
    inference(avatar_split_clause,[],[f6615,f6450,f1363,f42192,f1703]) ).

fof(f42192,plain,
    ( spl4_632
  <=> vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK3(vmul(vd519,vd518),vmul(vd517,vd519))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_632])]) ).

fof(f6450,plain,
    ( spl4_202
  <=> ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | less(X1,X0)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_202])]) ).

fof(f6615,plain,
    ( vmul(vd517,vd519) = vplus(vmul(vd519,vd518),sK3(vmul(vd519,vd518),vmul(vd517,vd519)))
    | vmul(vd517,vd519) = vmul(vd519,vd518)
    | spl4_81
    | ~ spl4_202 ),
    inference(resolution,[],[f6451,f1365]) ).

fof(f6451,plain,
    ( ! [X0,X1] :
        ( less(X1,X0)
        | vplus(X0,sK3(X0,X1)) = X1
        | X0 = X1 )
    | ~ spl4_202 ),
    inference(avatar_component_clause,[],[f6450]) ).

fof(f42014,plain,
    ( spl4_631
    | ~ spl4_21
    | ~ spl4_542 ),
    inference(avatar_split_clause,[],[f41115,f39405,f348,f42011]) ).

fof(f41115,plain,
    ( less(v1,vd520)
    | ~ spl4_21
    | ~ spl4_542 ),
    inference(resolution,[],[f39406,f349]) ).

fof(f39406,plain,
    ( greater(vd520,v1)
    | ~ spl4_542 ),
    inference(avatar_component_clause,[],[f39405]) ).

fof(f41707,plain,
    ( spl4_630
    | ~ spl4_83
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37429,f37391,f1389,f41705]) ).

fof(f41705,plain,
    ( spl4_630
  <=> ! [X0] : vd520 != vplus(X0,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_630])]) ).

fof(f37429,plain,
    ( ! [X0] : vd520 != vplus(X0,vd519)
    | ~ spl4_83
    | ~ spl4_515 ),
    inference(superposition,[],[f1390,f37393]) ).

fof(f41703,plain,
    ( spl4_629
    | ~ spl4_73
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37427,f37391,f1198,f41700]) ).

fof(f41700,plain,
    ( spl4_629
  <=> greater(vd519,sK3(vd520,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_629])]) ).

fof(f37427,plain,
    ( greater(vd519,sK3(vd520,vd519))
    | ~ spl4_73
    | ~ spl4_515 ),
    inference(superposition,[],[f1199,f37393]) ).

fof(f41698,plain,
    ( spl4_628
    | ~ spl4_72
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37426,f37391,f1194,f41695]) ).

fof(f41695,plain,
    ( spl4_628
  <=> less(sK3(vd520,vd519),vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_628])]) ).

fof(f37426,plain,
    ( less(sK3(vd520,vd519),vd519)
    | ~ spl4_72
    | ~ spl4_515 ),
    inference(superposition,[],[f1195,f37393]) ).

fof(f41653,plain,
    ( spl4_627
    | ~ spl4_133
    | ~ spl4_153
    | ~ spl4_171
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f41622,f37391,f3822,f2801,f2346,f41651]) ).

fof(f41651,plain,
    ( spl4_627
  <=> ! [X0] :
        ( ~ greater(X0,sK3(vd520,vd517))
        | greater(vplus(X0,vd520),vd517) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_627])]) ).

fof(f41622,plain,
    ( ! [X0] :
        ( ~ greater(X0,sK3(vd520,vd517))
        | greater(vplus(X0,vd520),vd517) )
    | ~ spl4_133
    | ~ spl4_153
    | ~ spl4_171
    | ~ spl4_515 ),
    inference(forward_demodulation,[],[f41621,f41467]) ).

fof(f41467,plain,
    ( vd517 = vd519
    | ~ spl4_133
    | ~ spl4_171 ),
    inference(forward_demodulation,[],[f2348,f3824]) ).

fof(f41621,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vd520),vd517)
        | ~ greater(X0,sK3(vd520,vd519)) )
    | ~ spl4_133
    | ~ spl4_153
    | ~ spl4_171
    | ~ spl4_515 ),
    inference(forward_demodulation,[],[f37459,f41467]) ).

fof(f41627,plain,
    ( spl4_626
    | ~ spl4_133
    | ~ spl4_171
    | ~ spl4_625 ),
    inference(avatar_split_clause,[],[f41607,f41604,f3822,f2346,f41625]) ).

fof(f41604,plain,
    ( spl4_625
  <=> ! [X0] : vd520 != vplus(vd519,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_625])]) ).

fof(f41607,plain,
    ( ! [X0] : vd520 != vplus(vd517,X0)
    | ~ spl4_133
    | ~ spl4_171
    | ~ spl4_625 ),
    inference(forward_demodulation,[],[f41605,f41467]) ).

fof(f41605,plain,
    ( ! [X0] : vd520 != vplus(vd519,X0)
    | ~ spl4_625 ),
    inference(avatar_component_clause,[],[f41604]) ).

fof(f41616,plain,
    ( ~ spl4_4
    | ~ spl4_574 ),
    inference(avatar_contradiction_clause,[],[f41608]) ).

fof(f41608,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_574 ),
    inference(resolution,[],[f40994,f278]) ).

fof(f40994,plain,
    ( greater(vd519,vd519)
    | ~ spl4_574 ),
    inference(avatar_component_clause,[],[f40992]) ).

fof(f40992,plain,
    ( spl4_574
  <=> greater(vd519,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_574])]) ).

fof(f41606,plain,
    ( spl4_625
    | ~ spl4_27
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37401,f37391,f385,f41604]) ).

fof(f37401,plain,
    ( ! [X0] : vd520 != vplus(vd519,X0)
    | ~ spl4_27
    | ~ spl4_515 ),
    inference(superposition,[],[f386,f37393]) ).

fof(f41602,plain,
    ( ~ spl4_624
    | ~ spl4_133
    | ~ spl4_171
    | spl4_623 ),
    inference(avatar_split_clause,[],[f41597,f41593,f3822,f2346,f41599]) ).

fof(f41599,plain,
    ( spl4_624
  <=> vd517 = sK3(vd520,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_624])]) ).

fof(f41593,plain,
    ( spl4_623
  <=> vd519 = sK3(vd520,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_623])]) ).

fof(f41597,plain,
    ( vd517 != sK3(vd520,vd517)
    | ~ spl4_133
    | ~ spl4_171
    | spl4_623 ),
    inference(forward_demodulation,[],[f41595,f41467]) ).

fof(f41595,plain,
    ( vd519 != sK3(vd520,vd519)
    | spl4_623 ),
    inference(avatar_component_clause,[],[f41593]) ).

fof(f41596,plain,
    ( ~ spl4_623
    | ~ spl4_8
    | ~ spl4_515 ),
    inference(avatar_split_clause,[],[f37397,f37391,f293,f41593]) ).

fof(f37397,plain,
    ( vd519 != sK3(vd520,vd519)
    | ~ spl4_8
    | ~ spl4_515 ),
    inference(superposition,[],[f294,f37393]) ).

fof(f41591,plain,
    ( spl4_622
    | ~ spl4_120
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2937,f2736,f1941,f41589]) ).

fof(f41589,plain,
    ( spl4_622
  <=> ! [X0] : ~ less(vplus(v1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_622])]) ).

fof(f2937,plain,
    ( ! [X0] : ~ less(vplus(v1,X0),X0)
    | ~ spl4_120
    | ~ spl4_138 ),
    inference(resolution,[],[f2737,f1942]) ).

fof(f41587,plain,
    ( spl4_621
    | ~ spl4_3
    | ~ spl4_97 ),
    inference(avatar_split_clause,[],[f1763,f1671,f273,f41585]) ).

fof(f41585,plain,
    ( spl4_621
  <=> ! [X0,X1] : ~ less(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_621])]) ).

fof(f1763,plain,
    ( ! [X0,X1] : ~ less(vplus(X0,X1),X0)
    | ~ spl4_3
    | ~ spl4_97 ),
    inference(resolution,[],[f1672,f274]) ).

fof(f41583,plain,
    ( spl4_620
    | ~ spl4_26
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1235,f1190,f381,f41581]) ).

fof(f41581,plain,
    ( spl4_620
  <=> ! [X0,X1] : geq(vplus(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_620])]) ).

fof(f1235,plain,
    ( ! [X0,X1] : geq(vplus(X1,X0),X0)
    | ~ spl4_26
    | ~ spl4_71 ),
    inference(superposition,[],[f1191,f382]) ).

fof(f41579,plain,
    ( spl4_619
    | ~ spl4_26
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1222,f1186,f381,f41577]) ).

fof(f41577,plain,
    ( spl4_619
  <=> ! [X0,X1] : leq(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_619])]) ).

fof(f1222,plain,
    ( ! [X0,X1] : leq(X0,vplus(X1,X0))
    | ~ spl4_26
    | ~ spl4_70 ),
    inference(superposition,[],[f1187,f382]) ).

fof(f41575,plain,
    ( spl4_618
    | ~ spl4_26
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f1206,f1182,f381,f41573]) ).

fof(f41573,plain,
    ( spl4_618
  <=> ! [X0,X1] : ~ greater(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_618])]) ).

fof(f1206,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X1,X0))
    | ~ spl4_26
    | ~ spl4_69 ),
    inference(superposition,[],[f1183,f382]) ).

fof(f41457,plain,
    ( spl4_617
    | ~ spl4_89
    | ~ spl4_161
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f40866,f3822,f2834,f1413,f41454]) ).

fof(f40866,plain,
    ( greater(vd517,vd517)
    | ~ spl4_89
    | ~ spl4_161
    | ~ spl4_171 ),
    inference(forward_demodulation,[],[f36113,f3824]) ).

fof(f36113,plain,
    ( greater(vd517,vd518)
    | ~ spl4_89
    | ~ spl4_161 ),
    inference(resolution,[],[f1414,f2835]) ).

fof(f1414,plain,
    ( greater(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_89 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f41402,plain,
    ( spl4_616
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_338 ),
    inference(avatar_split_clause,[],[f37319,f19245,f3822,f1150,f41400]) ).

fof(f41400,plain,
    ( spl4_616
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X2,vd517))
        | greater(vmul(X0,X1),vmul(X2,vmul(vd517,vd519)))
        | ~ greater(X1,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_616])]) ).

fof(f37319,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,vmul(X2,vd517))
        | greater(vmul(X0,X1),vmul(X2,vmul(vd517,vd519)))
        | ~ greater(X1,vd520) )
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_338 ),
    inference(forward_demodulation,[],[f21392,f3824]) ).

fof(f41398,plain,
    ( spl4_615
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_337 ),
    inference(avatar_split_clause,[],[f37318,f19241,f3822,f1150,f41396]) ).

fof(f41396,plain,
    ( spl4_615
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,vd517),X1)
        | greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,X2))
        | ~ greater(vd520,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_615])]) ).

fof(f37318,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,vd517),X1)
        | greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,X2))
        | ~ greater(vd520,X2) )
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_337 ),
    inference(forward_demodulation,[],[f21329,f3824]) ).

fof(f41393,plain,
    ( spl4_614
    | ~ spl4_67
    | ~ spl4_338 ),
    inference(avatar_split_clause,[],[f21380,f19245,f1150,f41391]) ).

fof(f41391,plain,
    ( spl4_614
  <=> ! [X2,X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,vmul(X1,X2)))
        | ~ greater(vd518,vmul(X0,X1))
        | ~ greater(vd520,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_614])]) ).

fof(f21380,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,vmul(X1,X2)))
        | ~ greater(vd518,vmul(X0,X1))
        | ~ greater(vd520,X2) )
    | ~ spl4_67
    | ~ spl4_338 ),
    inference(superposition,[],[f19246,f1152]) ).

fof(f41388,plain,
    ( spl4_613
    | ~ spl4_67
    | ~ spl4_337 ),
    inference(avatar_split_clause,[],[f21348,f19241,f1150,f41386]) ).

fof(f41386,plain,
    ( spl4_613
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(vd517,vd519))
        | ~ greater(vmul(X0,X1),vd518)
        | ~ greater(X2,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_613])]) ).

fof(f21348,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(vd517,vd519))
        | ~ greater(vmul(X0,X1),vd518)
        | ~ greater(X2,vd520) )
    | ~ spl4_67
    | ~ spl4_337 ),
    inference(superposition,[],[f19242,f1152]) ).

fof(f41383,plain,
    ( spl4_612
    | ~ spl4_67
    | ~ spl4_322 ),
    inference(avatar_split_clause,[],[f19415,f19177,f1150,f41381]) ).

fof(f41381,plain,
    ( spl4_612
  <=> ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | greater(X0,vd518)
        | vmul(vd517,vd519) = vmul(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_612])]) ).

fof(f19177,plain,
    ( spl4_322
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vmul(X0,X2),vmul(X1,X2))
        | vmul(X0,X2) = vmul(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_322])]) ).

fof(f19415,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | greater(X0,vd518)
        | vmul(vd517,vd519) = vmul(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_322 ),
    inference(superposition,[],[f19178,f1152]) ).

fof(f19178,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X0,X2),vmul(X1,X2))
        | greater(X0,X1)
        | vmul(X0,X2) = vmul(X1,X2) )
    | ~ spl4_322 ),
    inference(avatar_component_clause,[],[f19177]) ).

fof(f41378,plain,
    ( spl4_611
    | ~ spl4_67
    | ~ spl4_322 ),
    inference(avatar_split_clause,[],[f19403,f19177,f1150,f41376]) ).

fof(f41376,plain,
    ( spl4_611
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | greater(vd518,X0)
        | vmul(vd517,vd519) = vmul(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_611])]) ).

fof(f19403,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | greater(vd518,X0)
        | vmul(vd517,vd519) = vmul(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_322 ),
    inference(superposition,[],[f19178,f1152]) ).

fof(f41371,plain,
    ( spl4_610
    | ~ spl4_67
    | ~ spl4_321 ),
    inference(avatar_split_clause,[],[f19075,f18065,f1150,f41369]) ).

fof(f41369,plain,
    ( spl4_610
  <=> ! [X0,X1] :
        ( ~ greater(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | greater(X0,vmul(vd518,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_610])]) ).

fof(f18065,plain,
    ( spl4_321
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | greater(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_321])]) ).

fof(f19075,plain,
    ( ! [X0,X1] :
        ( ~ greater(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | greater(X0,vmul(vd518,X1)) )
    | ~ spl4_67
    | ~ spl4_321 ),
    inference(superposition,[],[f18066,f1152]) ).

fof(f18066,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | greater(X3,vmul(X0,X1)) )
    | ~ spl4_321 ),
    inference(avatar_component_clause,[],[f18065]) ).

fof(f41364,plain,
    ( spl4_609
    | ~ spl4_67
    | ~ spl4_320 ),
    inference(avatar_split_clause,[],[f19001,f18061,f1150,f41362]) ).

fof(f41362,plain,
    ( spl4_609
  <=> ! [X0,X1] :
        ( ~ greater(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | greater(vmul(vd518,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_609])]) ).

fof(f18061,plain,
    ( spl4_320
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | greater(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_320])]) ).

fof(f19001,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | greater(vmul(vd518,X0),X1) )
    | ~ spl4_67
    | ~ spl4_320 ),
    inference(superposition,[],[f18062,f1152]) ).

fof(f18062,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | greater(vmul(X0,X1),X3) )
    | ~ spl4_320 ),
    inference(avatar_component_clause,[],[f18061]) ).

fof(f41357,plain,
    ( spl4_608
    | ~ spl4_67
    | ~ spl4_319 ),
    inference(avatar_split_clause,[],[f18842,f18057,f1150,f41355]) ).

fof(f41355,plain,
    ( spl4_608
  <=> ! [X0,X1] :
        ( ~ less(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | less(X0,vmul(vd518,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_608])]) ).

fof(f18057,plain,
    ( spl4_319
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | less(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_319])]) ).

fof(f18842,plain,
    ( ! [X0,X1] :
        ( ~ less(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | less(X0,vmul(vd518,X1)) )
    | ~ spl4_67
    | ~ spl4_319 ),
    inference(superposition,[],[f18058,f1152]) ).

fof(f18058,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | less(X3,vmul(X0,X1)) )
    | ~ spl4_319 ),
    inference(avatar_component_clause,[],[f18057]) ).

fof(f41350,plain,
    ( spl4_607
    | ~ spl4_67
    | ~ spl4_318 ),
    inference(avatar_split_clause,[],[f18768,f18053,f1150,f41348]) ).

fof(f41348,plain,
    ( spl4_607
  <=> ! [X0,X1] :
        ( ~ less(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | less(vmul(vd518,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_607])]) ).

fof(f18053,plain,
    ( spl4_318
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | less(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_318])]) ).

fof(f18768,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | less(vmul(vd518,X0),X1) )
    | ~ spl4_67
    | ~ spl4_318 ),
    inference(superposition,[],[f18054,f1152]) ).

fof(f18054,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | less(vmul(X0,X1),X3) )
    | ~ spl4_318 ),
    inference(avatar_component_clause,[],[f18053]) ).

fof(f41344,plain,
    ( spl4_606
    | ~ spl4_67
    | ~ spl4_317 ),
    inference(avatar_split_clause,[],[f18667,f18049,f1150,f41342]) ).

fof(f41342,plain,
    ( spl4_606
  <=> ! [X0,X1] :
        ( vmul(vd518,vplus(X0,vd520)) != vplus(X1,vmul(vd517,vd519))
        | vmul(vd518,X0) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_606])]) ).

fof(f18049,plain,
    ( spl4_317
  <=> ! [X0,X3,X2,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(X3,vmul(X0,X2))
        | vmul(X0,X1) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_317])]) ).

fof(f18667,plain,
    ( ! [X0,X1] :
        ( vmul(vd518,vplus(X0,vd520)) != vplus(X1,vmul(vd517,vd519))
        | vmul(vd518,X0) = X1 )
    | ~ spl4_67
    | ~ spl4_317 ),
    inference(superposition,[],[f18050,f1152]) ).

fof(f18050,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(X3,vmul(X0,X2))
        | vmul(X0,X1) = X3 )
    | ~ spl4_317 ),
    inference(avatar_component_clause,[],[f18049]) ).

fof(f41337,plain,
    ( spl4_605
    | ~ spl4_67
    | ~ spl4_316 ),
    inference(avatar_split_clause,[],[f18523,f18045,f1150,f41335]) ).

fof(f41335,plain,
    ( spl4_605
  <=> ! [X0,X1] :
        ( greater(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | ~ greater(X0,vmul(vd518,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_605])]) ).

fof(f18045,plain,
    ( spl4_316
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_316])]) ).

fof(f18523,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | ~ greater(X0,vmul(vd518,X1)) )
    | ~ spl4_67
    | ~ spl4_316 ),
    inference(superposition,[],[f18046,f1152]) ).

fof(f18046,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) )
    | ~ spl4_316 ),
    inference(avatar_component_clause,[],[f18045]) ).

fof(f41330,plain,
    ( spl4_604
    | ~ spl4_67
    | ~ spl4_315 ),
    inference(avatar_split_clause,[],[f18455,f18041,f1150,f41328]) ).

fof(f41328,plain,
    ( spl4_604
  <=> ! [X0,X1] :
        ( greater(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | ~ greater(vmul(vd518,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_604])]) ).

fof(f18041,plain,
    ( spl4_315
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ greater(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_315])]) ).

fof(f18455,plain,
    ( ! [X0,X1] :
        ( greater(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | ~ greater(vmul(vd518,X0),X1) )
    | ~ spl4_67
    | ~ spl4_315 ),
    inference(superposition,[],[f18042,f1152]) ).

fof(f18042,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ greater(vmul(X0,X1),X3) )
    | ~ spl4_315 ),
    inference(avatar_component_clause,[],[f18041]) ).

fof(f41323,plain,
    ( spl4_603
    | ~ spl4_67
    | ~ spl4_314 ),
    inference(avatar_split_clause,[],[f18300,f18037,f1150,f41321]) ).

fof(f41321,plain,
    ( spl4_603
  <=> ! [X0,X1] :
        ( less(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | ~ less(X0,vmul(vd518,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_603])]) ).

fof(f18037,plain,
    ( spl4_314
  <=> ! [X0,X3,X2,X1] :
        ( less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_314])]) ).

fof(f18300,plain,
    ( ! [X0,X1] :
        ( less(vplus(X0,vmul(vd517,vd519)),vmul(vd518,vplus(X1,vd520)))
        | ~ less(X0,vmul(vd518,X1)) )
    | ~ spl4_67
    | ~ spl4_314 ),
    inference(superposition,[],[f18038,f1152]) ).

fof(f18038,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) )
    | ~ spl4_314 ),
    inference(avatar_component_clause,[],[f18037]) ).

fof(f41316,plain,
    ( spl4_602
    | ~ spl4_67
    | ~ spl4_313 ),
    inference(avatar_split_clause,[],[f18225,f18031,f1150,f41314]) ).

fof(f41314,plain,
    ( spl4_602
  <=> ! [X0,X1] :
        ( less(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | ~ less(vmul(vd518,X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_602])]) ).

fof(f18031,plain,
    ( spl4_313
  <=> ! [X0,X3,X2,X1] :
        ( less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ less(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_313])]) ).

fof(f18225,plain,
    ( ! [X0,X1] :
        ( less(vmul(vd518,vplus(X0,vd520)),vplus(X1,vmul(vd517,vd519)))
        | ~ less(vmul(vd518,X0),X1) )
    | ~ spl4_67
    | ~ spl4_313 ),
    inference(superposition,[],[f18032,f1152]) ).

fof(f18032,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ less(vmul(X0,X1),X3) )
    | ~ spl4_313 ),
    inference(avatar_component_clause,[],[f18031]) ).

fof(f41310,plain,
    ( spl4_601
    | ~ spl4_67
    | ~ spl4_312 ),
    inference(avatar_split_clause,[],[f18118,f18027,f1150,f41308]) ).

fof(f41308,plain,
    ( spl4_601
  <=> ! [X0,X1] :
        ( vmul(vd518,vplus(vd520,X0)) != vplus(vmul(vd517,vd519),X1)
        | vmul(vd518,X0) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_601])]) ).

fof(f18027,plain,
    ( spl4_312
  <=> ! [X0,X3,X2,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(vmul(X0,X1),X3)
        | vmul(X0,X2) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_312])]) ).

fof(f18118,plain,
    ( ! [X0,X1] :
        ( vmul(vd518,vplus(vd520,X0)) != vplus(vmul(vd517,vd519),X1)
        | vmul(vd518,X0) = X1 )
    | ~ spl4_67
    | ~ spl4_312 ),
    inference(superposition,[],[f18028,f1152]) ).

fof(f18028,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(vmul(X0,X1),X3)
        | vmul(X0,X2) = X3 )
    | ~ spl4_312 ),
    inference(avatar_component_clause,[],[f18027]) ).

fof(f41306,plain,
    ( spl4_600
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(avatar_split_clause,[],[f37323,f25325,f3822,f1150,f41304]) ).

fof(f41304,plain,
    ( spl4_600
  <=> ! [X0,X1] : vmul(X0,vmul(vd517,vplus(X1,vd519))) = vmul(X0,vmul(vd517,vplus(X1,vd520))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_600])]) ).

fof(f37323,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd517,vplus(X1,vd519))) = vmul(X0,vmul(vd517,vplus(X1,vd520)))
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f37322,f25326]) ).

fof(f37322,plain,
    ( ! [X0,X1] : vplus(vmul(X0,vmul(vd517,X1)),vmul(X0,vmul(vd517,vd519))) = vmul(X0,vmul(vd517,vplus(X1,vd520)))
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f25399,f3824]) ).

fof(f25399,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd518,vplus(X1,vd520))) = vplus(vmul(X0,vmul(vd518,X1)),vmul(X0,vmul(vd517,vd519)))
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(superposition,[],[f25326,f1152]) ).

fof(f41302,plain,
    ( spl4_599
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(avatar_split_clause,[],[f37321,f25325,f3822,f1150,f41300]) ).

fof(f41300,plain,
    ( spl4_599
  <=> ! [X0,X1] : vmul(X0,vmul(vd517,vplus(vd519,X1))) = vmul(X0,vmul(vd517,vplus(vd520,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_599])]) ).

fof(f37321,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd517,vplus(vd519,X1))) = vmul(X0,vmul(vd517,vplus(vd520,X1)))
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f37320,f25326]) ).

fof(f37320,plain,
    ( ! [X0,X1] : vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vmul(vd517,X1))) = vmul(X0,vmul(vd517,vplus(vd520,X1)))
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_377 ),
    inference(forward_demodulation,[],[f25380,f3824]) ).

fof(f25380,plain,
    ( ! [X0,X1] : vmul(X0,vmul(vd518,vplus(vd520,X1))) = vplus(vmul(X0,vmul(vd517,vd519)),vmul(X0,vmul(vd518,X1)))
    | ~ spl4_67
    | ~ spl4_377 ),
    inference(superposition,[],[f25326,f1152]) ).

fof(f41298,plain,
    ( spl4_598
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(avatar_split_clause,[],[f37317,f19192,f3822,f1150,f41296]) ).

fof(f41296,plain,
    ( spl4_598
  <=> ! [X0,X1] : vplus(vmul(vd517,vplus(X0,vd519)),X1) = vplus(vmul(vd517,vplus(X0,vd520)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_598])]) ).

fof(f37317,plain,
    ( ! [X0,X1] : vplus(vmul(vd517,vplus(X0,vd519)),X1) = vplus(vmul(vd517,vplus(X0,vd520)),X1)
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(forward_demodulation,[],[f37316,f19193]) ).

fof(f37316,plain,
    ( ! [X0,X1] : vplus(vmul(vd517,X0),vplus(vmul(vd517,vd519),X1)) = vplus(vmul(vd517,vplus(X0,vd520)),X1)
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(forward_demodulation,[],[f19920,f3824]) ).

fof(f19920,plain,
    ( ! [X0,X1] : vplus(vmul(vd518,vplus(X0,vd520)),X1) = vplus(vmul(vd518,X0),vplus(vmul(vd517,vd519),X1))
    | ~ spl4_67
    | ~ spl4_325 ),
    inference(superposition,[],[f19193,f1152]) ).

fof(f41292,plain,
    ( ~ spl4_411
    | ~ spl4_171
    | spl4_457 ),
    inference(avatar_split_clause,[],[f37382,f36255,f3822,f27703]) ).

fof(f37382,plain,
    ( ~ greater(vd517,vd520)
    | ~ spl4_171
    | spl4_457 ),
    inference(superposition,[],[f36257,f3824]) ).

fof(f36257,plain,
    ( ~ greater(vd518,vd520)
    | spl4_457 ),
    inference(avatar_component_clause,[],[f36255]) ).

fof(f41291,plain,
    ( spl4_597
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(avatar_split_clause,[],[f37315,f19192,f3822,f1150,f41289]) ).

fof(f41289,plain,
    ( spl4_597
  <=> ! [X0,X1] : vplus(vmul(vd517,vplus(vd519,X0)),X1) = vplus(vmul(vd517,vplus(vd520,X0)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_597])]) ).

fof(f37315,plain,
    ( ! [X0,X1] : vplus(vmul(vd517,vplus(vd519,X0)),X1) = vplus(vmul(vd517,vplus(vd520,X0)),X1)
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(forward_demodulation,[],[f37314,f19193]) ).

fof(f37314,plain,
    ( ! [X0,X1] : vplus(vmul(vd517,vd519),vplus(vmul(vd517,X0),X1)) = vplus(vmul(vd517,vplus(vd520,X0)),X1)
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_325 ),
    inference(forward_demodulation,[],[f19908,f3824]) ).

fof(f41286,plain,
    ( spl4_596
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_292 ),
    inference(avatar_split_clause,[],[f13806,f13457,f1150,f377,f41284]) ).

fof(f41284,plain,
    ( spl4_596
  <=> ! [X0] : vplus(vmul(X0,vmul(vd517,vd519)),vd520) = vmul(vd520,vplus(v1,vmul(X0,vd518))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_596])]) ).

fof(f13457,plain,
    ( spl4_292
  <=> ! [X2,X0,X1] : vmul(vplus(v1,vmul(X0,X1)),X2) = vplus(vmul(X0,vmul(X1,X2)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_292])]) ).

fof(f13806,plain,
    ( ! [X0] : vplus(vmul(X0,vmul(vd517,vd519)),vd520) = vmul(vd520,vplus(v1,vmul(X0,vd518)))
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_292 ),
    inference(forward_demodulation,[],[f13547,f378]) ).

fof(f13547,plain,
    ( ! [X0] : vmul(vplus(v1,vmul(X0,vd518)),vd520) = vplus(vmul(X0,vmul(vd517,vd519)),vd520)
    | ~ spl4_67
    | ~ spl4_292 ),
    inference(superposition,[],[f13458,f1152]) ).

fof(f13458,plain,
    ( ! [X2,X0,X1] : vmul(vplus(v1,vmul(X0,X1)),X2) = vplus(vmul(X0,vmul(X1,X2)),X2)
    | ~ spl4_292 ),
    inference(avatar_component_clause,[],[f13457]) ).

fof(f41192,plain,
    ( spl4_595
    | ~ spl4_59
    | ~ spl4_171
    | ~ spl4_520
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(avatar_split_clause,[],[f41091,f41084,f40234,f37782,f3822,f885,f41190]) ).

fof(f41190,plain,
    ( spl4_595
  <=> ! [X0] :
        ( vd517 = X0
        | vplus(vmul(vd517,vd519),X0) != vmul(vd517,vplus(vd519,vd519)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_595])]) ).

fof(f41084,plain,
    ( spl4_592
  <=> ! [X0] :
        ( vmul(vd518,vplus(vd520,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd518 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_592])]) ).

fof(f41091,plain,
    ( ! [X0] :
        ( vd517 = X0
        | vplus(vmul(vd517,vd519),X0) != vmul(vd517,vplus(vd519,vd519)) )
    | ~ spl4_59
    | ~ spl4_171
    | ~ spl4_520
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(forward_demodulation,[],[f41090,f3824]) ).

fof(f41090,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd517,vplus(vd519,vd519))
        | vd518 = X0 )
    | ~ spl4_59
    | ~ spl4_171
    | ~ spl4_520
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(forward_demodulation,[],[f41089,f37939]) ).

fof(f37939,plain,
    ( ! [X0] : vmul(vd517,vplus(vd519,X0)) = vmul(vd517,vplus(vd520,X0))
    | ~ spl4_59
    | ~ spl4_520 ),
    inference(forward_demodulation,[],[f37820,f886]) ).

fof(f37820,plain,
    ( ! [X0] : vplus(vmul(vd517,vd519),vmul(vd517,X0)) = vmul(vd517,vplus(vd520,X0))
    | ~ spl4_59
    | ~ spl4_520 ),
    inference(superposition,[],[f886,f37784]) ).

fof(f41089,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd517,vplus(vd520,vd519))
        | vd518 = X0 )
    | ~ spl4_59
    | ~ spl4_171
    | ~ spl4_520
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(forward_demodulation,[],[f41088,f37938]) ).

fof(f37938,plain,
    ( ! [X0] : vmul(vd517,vplus(X0,vd519)) = vmul(vd517,vplus(X0,vd520))
    | ~ spl4_59
    | ~ spl4_520 ),
    inference(forward_demodulation,[],[f37819,f886]) ).

fof(f37819,plain,
    ( ! [X0] : vplus(vmul(vd517,X0),vmul(vd517,vd519)) = vmul(vd517,vplus(X0,vd520))
    | ~ spl4_59
    | ~ spl4_520 ),
    inference(superposition,[],[f886,f37784]) ).

fof(f41088,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd517,vplus(vd520,vd520))
        | vd518 = X0 )
    | ~ spl4_171
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(forward_demodulation,[],[f41087,f3824]) ).

fof(f41087,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd518,vplus(vd520,vd520))
        | vd518 = X0 )
    | ~ spl4_551
    | ~ spl4_592 ),
    inference(forward_demodulation,[],[f41085,f40236]) ).

fof(f41085,plain,
    ( ! [X0] :
        ( vmul(vd518,vplus(vd520,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd518 = X0 )
    | ~ spl4_592 ),
    inference(avatar_component_clause,[],[f41084]) ).

fof(f41146,plain,
    ( spl4_594
    | ~ spl4_171
    | ~ spl4_543 ),
    inference(avatar_split_clause,[],[f41114,f39409,f3822,f41144]) ).

fof(f41144,plain,
    ( spl4_594
  <=> ! [X0] :
        ( ~ greater(vd517,X0)
        | greater(vmul(vd517,vd519),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_594])]) ).

fof(f39409,plain,
    ( spl4_543
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_543])]) ).

fof(f41114,plain,
    ( ! [X0] :
        ( ~ greater(vd517,X0)
        | greater(vmul(vd517,vd519),X0) )
    | ~ spl4_171
    | ~ spl4_543 ),
    inference(forward_demodulation,[],[f39410,f3824]) ).

fof(f39410,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd518,X0) )
    | ~ spl4_543 ),
    inference(avatar_component_clause,[],[f39409]) ).

fof(f41133,plain,
    ( spl4_518
    | ~ spl4_171
    | ~ spl4_452 ),
    inference(avatar_split_clause,[],[f41104,f36218,f3822,f37708]) ).

fof(f41104,plain,
    ( greater(vd517,v1)
    | ~ spl4_171
    | ~ spl4_452 ),
    inference(forward_demodulation,[],[f36219,f3824]) ).

fof(f41124,plain,
    ( spl4_519
    | ~ spl4_171
    | ~ spl4_442 ),
    inference(avatar_split_clause,[],[f40029,f36140,f3822,f37713]) ).

fof(f40029,plain,
    ( less(v1,vd517)
    | ~ spl4_171
    | ~ spl4_442 ),
    inference(forward_demodulation,[],[f36141,f3824]) ).

fof(f41095,plain,
    ( spl4_593
    | ~ spl4_171
    | ~ spl4_551
    | ~ spl4_591 ),
    inference(avatar_split_clause,[],[f41082,f41078,f40234,f3822,f41093]) ).

fof(f41093,plain,
    ( spl4_593
  <=> ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd520,vplus(vd517,vd520))
        | vd520 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_593])]) ).

fof(f41078,plain,
    ( spl4_591
  <=> ! [X0] :
        ( vmul(vd520,vplus(vd518,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd520 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_591])]) ).

fof(f41082,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd520,vplus(vd517,vd520))
        | vd520 = X0 )
    | ~ spl4_171
    | ~ spl4_551
    | ~ spl4_591 ),
    inference(forward_demodulation,[],[f41081,f3824]) ).

fof(f41081,plain,
    ( ! [X0] :
        ( vplus(vmul(vd517,vd519),X0) != vmul(vd520,vplus(vd518,vd520))
        | vd520 = X0 )
    | ~ spl4_551
    | ~ spl4_591 ),
    inference(forward_demodulation,[],[f41079,f40236]) ).

fof(f41079,plain,
    ( ! [X0] :
        ( vmul(vd520,vplus(vd518,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd520 = X0 )
    | ~ spl4_591 ),
    inference(avatar_component_clause,[],[f41078]) ).

fof(f41086,plain,
    ( spl4_592
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_281 ),
    inference(avatar_split_clause,[],[f12776,f8598,f6478,f1150,f885,f41084]) ).

fof(f8598,plain,
    ( spl4_281
  <=> ! [X2,X0,X1] :
        ( vmul(X0,vplus(v1,X1)) != vplus(vmul(X0,X1),X2)
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_281])]) ).

fof(f12776,plain,
    ( ! [X0] :
        ( vmul(vd518,vplus(vd520,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd518 = X0 )
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_281 ),
    inference(forward_demodulation,[],[f12749,f7320]) ).

fof(f7320,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vmul(X0,vplus(X2,X1))
    | ~ spl4_59
    | ~ spl4_209 ),
    inference(superposition,[],[f6479,f886]) ).

fof(f12749,plain,
    ( ! [X0] :
        ( vmul(vd518,vplus(v1,vd520)) != vplus(vmul(vd517,vd519),X0)
        | vd518 = X0 )
    | ~ spl4_67
    | ~ spl4_281 ),
    inference(superposition,[],[f8599,f1152]) ).

fof(f8599,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X0,vplus(v1,X1)) != vplus(vmul(X0,X1),X2)
        | X0 = X2 )
    | ~ spl4_281 ),
    inference(avatar_component_clause,[],[f8598]) ).

fof(f41080,plain,
    ( spl4_591
    | ~ spl4_25
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_249 ),
    inference(avatar_split_clause,[],[f10094,f8463,f6478,f1150,f885,f377,f41078]) ).

fof(f8463,plain,
    ( spl4_249
  <=> ! [X2,X0,X1] :
        ( vmul(vplus(v1,X0),X1) != vplus(vmul(X0,X1),X2)
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_249])]) ).

fof(f10094,plain,
    ( ! [X0] :
        ( vmul(vd520,vplus(vd518,v1)) != vplus(vmul(vd517,vd519),X0)
        | vd520 = X0 )
    | ~ spl4_25
    | ~ spl4_59
    | ~ spl4_67
    | ~ spl4_209
    | ~ spl4_249 ),
    inference(forward_demodulation,[],[f10093,f7320]) ).

fof(f10093,plain,
    ( ! [X0] :
        ( vmul(vd520,vplus(v1,vd518)) != vplus(vmul(vd517,vd519),X0)
        | vd520 = X0 )
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_249 ),
    inference(forward_demodulation,[],[f10068,f378]) ).

fof(f10068,plain,
    ( ! [X0] :
        ( vmul(vplus(v1,vd518),vd520) != vplus(vmul(vd517,vd519),X0)
        | vd520 = X0 )
    | ~ spl4_67
    | ~ spl4_249 ),
    inference(superposition,[],[f8464,f1152]) ).

fof(f8464,plain,
    ( ! [X2,X0,X1] :
        ( vmul(vplus(v1,X0),X1) != vplus(vmul(X0,X1),X2)
        | X1 = X2 )
    | ~ spl4_249 ),
    inference(avatar_component_clause,[],[f8463]) ).

fof(f41075,plain,
    ( spl4_590
    | ~ spl4_67
    | ~ spl4_238 ),
    inference(avatar_split_clause,[],[f9059,f8419,f1150,f41073]) ).

fof(f41073,plain,
    ( spl4_590
  <=> ! [X0,X1] :
        ( ~ greater(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | greater(X0,vmul(X1,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_590])]) ).

fof(f8419,plain,
    ( spl4_238
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | greater(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_238])]) ).

fof(f9059,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | greater(X0,vmul(X1,vd518)) )
    | ~ spl4_67
    | ~ spl4_238 ),
    inference(superposition,[],[f8420,f1152]) ).

fof(f8420,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | greater(X3,vmul(X0,X1)) )
    | ~ spl4_238 ),
    inference(avatar_component_clause,[],[f8419]) ).

fof(f41070,plain,
    ( spl4_589
    | ~ spl4_67
    | ~ spl4_238 ),
    inference(avatar_split_clause,[],[f9047,f8419,f1150,f41068]) ).

fof(f41068,plain,
    ( spl4_589
  <=> ! [X0,X1] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | greater(vd518,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_589])]) ).

fof(f9047,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | greater(vd518,vmul(X0,X1)) )
    | ~ spl4_67
    | ~ spl4_238 ),
    inference(superposition,[],[f8420,f1152]) ).

fof(f41065,plain,
    ( spl4_588
    | ~ spl4_67
    | ~ spl4_237 ),
    inference(avatar_split_clause,[],[f9012,f8415,f1150,f41063]) ).

fof(f41063,plain,
    ( spl4_588
  <=> ! [X0,X1] :
        ( ~ greater(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | greater(vmul(X0,X1),vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_588])]) ).

fof(f8415,plain,
    ( spl4_237
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | greater(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_237])]) ).

fof(f9012,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | greater(vmul(X0,X1),vd518) )
    | ~ spl4_67
    | ~ spl4_237 ),
    inference(superposition,[],[f8416,f1152]) ).

fof(f8416,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | greater(vmul(X0,X1),X3) )
    | ~ spl4_237 ),
    inference(avatar_component_clause,[],[f8415]) ).

fof(f41060,plain,
    ( spl4_587
    | ~ spl4_67
    | ~ spl4_237 ),
    inference(avatar_split_clause,[],[f8993,f8415,f1150,f41058]) ).

fof(f41058,plain,
    ( spl4_587
  <=> ! [X0,X1] :
        ( ~ greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | greater(vmul(X0,vd518),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_587])]) ).

fof(f8993,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | greater(vmul(X0,vd518),X1) )
    | ~ spl4_67
    | ~ spl4_237 ),
    inference(superposition,[],[f8416,f1152]) ).

fof(f41055,plain,
    ( spl4_586
    | ~ spl4_67
    | ~ spl4_236 ),
    inference(avatar_split_clause,[],[f8950,f8411,f1150,f41053]) ).

fof(f41053,plain,
    ( spl4_586
  <=> ! [X0,X1] :
        ( ~ less(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | less(X0,vmul(X1,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_586])]) ).

fof(f8411,plain,
    ( spl4_236
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | less(X3,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_236])]) ).

fof(f8950,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | less(X0,vmul(X1,vd518)) )
    | ~ spl4_67
    | ~ spl4_236 ),
    inference(superposition,[],[f8412,f1152]) ).

fof(f8412,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | less(X3,vmul(X0,X1)) )
    | ~ spl4_236 ),
    inference(avatar_component_clause,[],[f8411]) ).

fof(f41050,plain,
    ( spl4_585
    | ~ spl4_67
    | ~ spl4_236 ),
    inference(avatar_split_clause,[],[f8938,f8411,f1150,f41048]) ).

fof(f41048,plain,
    ( spl4_585
  <=> ! [X0,X1] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | less(vd518,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_585])]) ).

fof(f8938,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | less(vd518,vmul(X0,X1)) )
    | ~ spl4_67
    | ~ spl4_236 ),
    inference(superposition,[],[f8412,f1152]) ).

fof(f41046,plain,
    ( spl4_553
    | ~ spl4_29
    | ~ spl4_546 ),
    inference(avatar_split_clause,[],[f40103,f40047,f413,f40845]) ).

fof(f40845,plain,
    ( spl4_553
  <=> leq(vd519,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_553])]) ).

fof(f40047,plain,
    ( spl4_546
  <=> ! [X0] : less(vd519,vplus(vd520,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_546])]) ).

fof(f40103,plain,
    ( leq(vd519,vd520)
    | ~ spl4_29
    | ~ spl4_546 ),
    inference(resolution,[],[f40048,f414]) ).

fof(f40048,plain,
    ( ! [X0] : less(vd519,vplus(vd520,X0))
    | ~ spl4_546 ),
    inference(avatar_component_clause,[],[f40047]) ).

fof(f41044,plain,
    ( spl4_584
    | ~ spl4_67
    | ~ spl4_235 ),
    inference(avatar_split_clause,[],[f8905,f8405,f1150,f41042]) ).

fof(f41042,plain,
    ( spl4_584
  <=> ! [X0,X1] :
        ( ~ less(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | less(vmul(X0,X1),vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_584])]) ).

fof(f8405,plain,
    ( spl4_235
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | less(vmul(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_235])]) ).

fof(f8905,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | less(vmul(X0,X1),vd518) )
    | ~ spl4_67
    | ~ spl4_235 ),
    inference(superposition,[],[f8406,f1152]) ).

fof(f8406,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | less(vmul(X0,X1),X3) )
    | ~ spl4_235 ),
    inference(avatar_component_clause,[],[f8405]) ).

fof(f41039,plain,
    ( spl4_583
    | ~ spl4_67
    | ~ spl4_235 ),
    inference(avatar_split_clause,[],[f8886,f8405,f1150,f41037]) ).

fof(f41037,plain,
    ( spl4_583
  <=> ! [X0,X1] :
        ( ~ less(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | less(vmul(X0,vd518),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_583])]) ).

fof(f8886,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | less(vmul(X0,vd518),X1) )
    | ~ spl4_67
    | ~ spl4_235 ),
    inference(superposition,[],[f8406,f1152]) ).

fof(f41034,plain,
    ( spl4_582
    | ~ spl4_67
    | ~ spl4_234 ),
    inference(avatar_split_clause,[],[f8842,f8401,f1150,f41032]) ).

fof(f41032,plain,
    ( spl4_582
  <=> ! [X0,X1] :
        ( vmul(X0,vmul(vd517,vd519)) != vmul(X1,vd520)
        | vmul(X0,vd518) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_582])]) ).

fof(f8401,plain,
    ( spl4_234
  <=> ! [X0,X3,X2,X1] :
        ( vmul(X0,vmul(X1,X2)) != vmul(X3,X2)
        | vmul(X0,X1) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_234])]) ).

fof(f8842,plain,
    ( ! [X0,X1] :
        ( vmul(X0,vmul(vd517,vd519)) != vmul(X1,vd520)
        | vmul(X0,vd518) = X1 )
    | ~ spl4_67
    | ~ spl4_234 ),
    inference(superposition,[],[f8402,f1152]) ).

fof(f8402,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vmul(X1,X2)) != vmul(X3,X2)
        | vmul(X0,X1) = X3 )
    | ~ spl4_234 ),
    inference(avatar_component_clause,[],[f8401]) ).

fof(f41029,plain,
    ( spl4_581
    | ~ spl4_67
    | ~ spl4_233 ),
    inference(avatar_split_clause,[],[f8813,f8397,f1150,f41027]) ).

fof(f41027,plain,
    ( spl4_581
  <=> ! [X0,X1] :
        ( greater(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | ~ greater(X0,vmul(X1,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_581])]) ).

fof(f8813,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | ~ greater(X0,vmul(X1,vd518)) )
    | ~ spl4_67
    | ~ spl4_233 ),
    inference(superposition,[],[f8398,f1152]) ).

fof(f41024,plain,
    ( spl4_580
    | ~ spl4_67
    | ~ spl4_233 ),
    inference(avatar_split_clause,[],[f8801,f8397,f1150,f41022]) ).

fof(f41022,plain,
    ( spl4_580
  <=> ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | ~ greater(vd518,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_580])]) ).

fof(f8801,plain,
    ( ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | ~ greater(vd518,vmul(X0,X1)) )
    | ~ spl4_67
    | ~ spl4_233 ),
    inference(superposition,[],[f8398,f1152]) ).

fof(f41019,plain,
    ( spl4_579
    | ~ spl4_67
    | ~ spl4_232 ),
    inference(avatar_split_clause,[],[f8773,f8393,f1150,f41017]) ).

fof(f41017,plain,
    ( spl4_579
  <=> ! [X0,X1] :
        ( greater(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | ~ greater(vmul(X0,X1),vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_579])]) ).

fof(f8773,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | ~ greater(vmul(X0,X1),vd518) )
    | ~ spl4_67
    | ~ spl4_232 ),
    inference(superposition,[],[f8394,f1152]) ).

fof(f41014,plain,
    ( spl4_578
    | ~ spl4_67
    | ~ spl4_232 ),
    inference(avatar_split_clause,[],[f8754,f8393,f1150,f41012]) ).

fof(f41012,plain,
    ( spl4_578
  <=> ! [X0,X1] :
        ( greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | ~ greater(vmul(X0,vd518),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_578])]) ).

fof(f8754,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | ~ greater(vmul(X0,vd518),X1) )
    | ~ spl4_67
    | ~ spl4_232 ),
    inference(superposition,[],[f8394,f1152]) ).

fof(f41009,plain,
    ( spl4_577
    | ~ spl4_67
    | ~ spl4_231 ),
    inference(avatar_split_clause,[],[f8719,f8389,f1150,f41007]) ).

fof(f41007,plain,
    ( spl4_577
  <=> ! [X0,X1] :
        ( less(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | ~ less(X0,vmul(X1,vd518)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_577])]) ).

fof(f8719,plain,
    ( ! [X0,X1] :
        ( less(vmul(X0,vd520),vmul(X1,vmul(vd517,vd519)))
        | ~ less(X0,vmul(X1,vd518)) )
    | ~ spl4_67
    | ~ spl4_231 ),
    inference(superposition,[],[f8390,f1152]) ).

fof(f41004,plain,
    ( spl4_576
    | ~ spl4_67
    | ~ spl4_231 ),
    inference(avatar_split_clause,[],[f8707,f8389,f1150,f41002]) ).

fof(f41002,plain,
    ( spl4_576
  <=> ! [X0,X1] :
        ( less(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | ~ less(vd518,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_576])]) ).

fof(f8707,plain,
    ( ! [X0,X1] :
        ( less(vmul(vd517,vd519),vmul(X0,vmul(X1,vd520)))
        | ~ less(vd518,vmul(X0,X1)) )
    | ~ spl4_67
    | ~ spl4_231 ),
    inference(superposition,[],[f8390,f1152]) ).

fof(f40999,plain,
    ( spl4_575
    | ~ spl4_67
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f8676,f8385,f1150,f40997]) ).

fof(f40997,plain,
    ( spl4_575
  <=> ! [X0,X1] :
        ( less(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | ~ less(vmul(X0,X1),vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_575])]) ).

fof(f8676,plain,
    ( ! [X0,X1] :
        ( less(vmul(X0,vmul(X1,vd520)),vmul(vd517,vd519))
        | ~ less(vmul(X0,X1),vd518) )
    | ~ spl4_67
    | ~ spl4_230 ),
    inference(superposition,[],[f8386,f1152]) ).

fof(f40995,plain,
    ( spl4_574
    | ~ spl4_515
    | ~ spl4_545 ),
    inference(avatar_split_clause,[],[f40064,f40043,f37391,f40992]) ).

fof(f40043,plain,
    ( spl4_545
  <=> ! [X0] : greater(vplus(vd520,X0),vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_545])]) ).

fof(f40064,plain,
    ( greater(vd519,vd519)
    | ~ spl4_515
    | ~ spl4_545 ),
    inference(superposition,[],[f40044,f37393]) ).

fof(f40044,plain,
    ( ! [X0] : greater(vplus(vd520,X0),vd519)
    | ~ spl4_545 ),
    inference(avatar_component_clause,[],[f40043]) ).

fof(f40989,plain,
    ( spl4_573
    | ~ spl4_67
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f8657,f8385,f1150,f40987]) ).

fof(f40987,plain,
    ( spl4_573
  <=> ! [X0,X1] :
        ( less(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | ~ less(vmul(X0,vd518),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_573])]) ).

fof(f8657,plain,
    ( ! [X0,X1] :
        ( less(vmul(X0,vmul(vd517,vd519)),vmul(X1,vd520))
        | ~ less(vmul(X0,vd518),X1) )
    | ~ spl4_67
    | ~ spl4_230 ),
    inference(superposition,[],[f8386,f1152]) ).

fof(f40983,plain,
    ( spl4_572
    | spl4_105
    | spl4_81
    | ~ spl4_113 ),
    inference(avatar_split_clause,[],[f2004,f1913,f1363,f1703,f40980]) ).

fof(f40980,plain,
    ( spl4_572
  <=> geq(vmul(vd517,vd519),vmul(vd519,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_572])]) ).

fof(f2004,plain,
    ( vmul(vd517,vd519) = vmul(vd519,vd518)
    | geq(vmul(vd517,vd519),vmul(vd519,vd518))
    | spl4_81
    | ~ spl4_113 ),
    inference(resolution,[],[f1914,f1365]) ).

fof(f40977,plain,
    ( spl4_571
    | ~ spl4_67
    | ~ spl4_214 ),
    inference(avatar_split_clause,[],[f7665,f6502,f1150,f40975]) ).

fof(f40975,plain,
    ( spl4_571
  <=> ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X1,vd518)
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_571])]) ).

fof(f7665,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X1,vd518)
        | ~ greater(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_214 ),
    inference(superposition,[],[f6503,f1152]) ).

fof(f40972,plain,
    ( spl4_570
    | ~ spl4_67
    | ~ spl4_214 ),
    inference(avatar_split_clause,[],[f7653,f6502,f1150,f40970]) ).

fof(f40970,plain,
    ( spl4_570
  <=> ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd520,X0)
        | ~ greater(vd518,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_570])]) ).

fof(f7653,plain,
    ( ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd520,X0)
        | ~ greater(vd518,X1) )
    | ~ spl4_67
    | ~ spl4_214 ),
    inference(superposition,[],[f6503,f1152]) ).

fof(f40967,plain,
    ( spl4_569
    | ~ spl4_67
    | ~ spl4_213 ),
    inference(avatar_split_clause,[],[f7630,f6498,f1150,f40965]) ).

fof(f40965,plain,
    ( spl4_569
  <=> ! [X0,X1] :
        ( less(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(vd520,X1)
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_569])]) ).

fof(f7630,plain,
    ( ! [X0,X1] :
        ( less(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(vd520,X1)
        | ~ greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_213 ),
    inference(superposition,[],[f6499,f1152]) ).

fof(f40962,plain,
    ( spl4_568
    | ~ spl4_67
    | ~ spl4_213 ),
    inference(avatar_split_clause,[],[f7618,f6498,f1150,f40960]) ).

fof(f40960,plain,
    ( spl4_568
  <=> ! [X0,X1] :
        ( less(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(X1,vd520)
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_568])]) ).

fof(f7618,plain,
    ( ! [X0,X1] :
        ( less(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(X1,vd520)
        | ~ greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_213 ),
    inference(superposition,[],[f6499,f1152]) ).

fof(f40957,plain,
    ( spl4_567
    | ~ spl4_67
    | ~ spl4_212 ),
    inference(avatar_split_clause,[],[f7592,f6494,f1150,f40955]) ).

fof(f40955,plain,
    ( spl4_567
  <=> ! [X0,X1] :
        ( geq(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X1,vd520)
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_567])]) ).

fof(f6494,plain,
    ( spl4_212
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vmul(X0,X2),vmul(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_212])]) ).

fof(f7592,plain,
    ( ! [X0,X1] :
        ( geq(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X1,vd520)
        | ~ greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_212 ),
    inference(superposition,[],[f6495,f1152]) ).

fof(f6495,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vmul(X0,X2),vmul(X1,X3))
        | ~ greater(X2,X3)
        | ~ greater(X0,X1) )
    | ~ spl4_212 ),
    inference(avatar_component_clause,[],[f6494]) ).

fof(f40952,plain,
    ( spl4_566
    | ~ spl4_67
    | ~ spl4_212 ),
    inference(avatar_split_clause,[],[f7580,f6494,f1150,f40950]) ).

fof(f40950,plain,
    ( spl4_566
  <=> ! [X0,X1] :
        ( geq(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd520,X1)
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_566])]) ).

fof(f7580,plain,
    ( ! [X0,X1] :
        ( geq(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd520,X1)
        | ~ greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_212 ),
    inference(superposition,[],[f6495,f1152]) ).

fof(f40946,plain,
    ( spl4_565
    | ~ spl4_67
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7315,f6478,f1150,f40944]) ).

fof(f40944,plain,
    ( spl4_565
  <=> ! [X0] : vplus(vmul(vd518,X0),vmul(vd517,vd519)) = vmul(vd518,vplus(vd520,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_565])]) ).

fof(f7315,plain,
    ( ! [X0] : vplus(vmul(vd518,X0),vmul(vd517,vd519)) = vmul(vd518,vplus(vd520,X0))
    | ~ spl4_67
    | ~ spl4_209 ),
    inference(superposition,[],[f6479,f1152]) ).

fof(f40940,plain,
    ( spl4_564
    | ~ spl4_67
    | ~ spl4_209 ),
    inference(avatar_split_clause,[],[f7302,f6478,f1150,f40938]) ).

fof(f40938,plain,
    ( spl4_564
  <=> ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(vd517,vd519),vmul(vd518,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_564])]) ).

fof(f7302,plain,
    ( ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(vd517,vd519),vmul(vd518,X0))
    | ~ spl4_67
    | ~ spl4_209 ),
    inference(superposition,[],[f6479,f1152]) ).

fof(f40936,plain,
    ( spl4_398
    | ~ spl4_547 ),
    inference(avatar_contradiction_clause,[],[f40930]) ).

fof(f40930,plain,
    ( $false
    | spl4_398
    | ~ spl4_547 ),
    inference(resolution,[],[f40052,f26793]) ).

fof(f26793,plain,
    ( ~ leq(vd517,vd518)
    | spl4_398 ),
    inference(avatar_component_clause,[],[f26792]) ).

fof(f26792,plain,
    ( spl4_398
  <=> leq(vd517,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_398])]) ).

fof(f40928,plain,
    ( spl4_563
    | ~ spl4_67
    | ~ spl4_208 ),
    inference(avatar_split_clause,[],[f7162,f6474,f1150,f40926]) ).

fof(f40926,plain,
    ( spl4_563
  <=> ! [X0] : vplus(vmul(vd520,X0),vmul(vd517,vd519)) = vmul(vd520,vplus(X0,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_563])]) ).

fof(f7162,plain,
    ( ! [X0] : vplus(vmul(vd520,X0),vmul(vd517,vd519)) = vmul(vd520,vplus(X0,vd518))
    | ~ spl4_67
    | ~ spl4_208 ),
    inference(superposition,[],[f6475,f1152]) ).

fof(f40922,plain,
    ( spl4_562
    | ~ spl4_67
    | ~ spl4_208 ),
    inference(avatar_split_clause,[],[f7149,f6474,f1150,f40920]) ).

fof(f40920,plain,
    ( spl4_562
  <=> ! [X0] : vmul(vd518,vplus(vd520,X0)) = vplus(vmul(vd517,vd519),vmul(X0,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_562])]) ).

fof(f7149,plain,
    ( ! [X0] : vmul(vd518,vplus(vd520,X0)) = vplus(vmul(vd517,vd519),vmul(X0,vd518))
    | ~ spl4_67
    | ~ spl4_208 ),
    inference(superposition,[],[f6475,f1152]) ).

fof(f40916,plain,
    ( spl4_561
    | ~ spl4_67
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f7003,f6470,f1150,f40914]) ).

fof(f40914,plain,
    ( spl4_561
  <=> ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(X0,vd518),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_561])]) ).

fof(f7003,plain,
    ( ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(X0,vd518),vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_207 ),
    inference(superposition,[],[f6471,f1152]) ).

fof(f40911,plain,
    ( spl4_560
    | ~ spl4_67
    | ~ spl4_207 ),
    inference(avatar_split_clause,[],[f6990,f6470,f1150,f40909]) ).

fof(f40909,plain,
    ( spl4_560
  <=> ! [X0] : vmul(vd520,vplus(vd518,X0)) = vplus(vmul(vd517,vd519),vmul(vd520,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_560])]) ).

fof(f6990,plain,
    ( ! [X0] : vmul(vd520,vplus(vd518,X0)) = vplus(vmul(vd517,vd519),vmul(vd520,X0))
    | ~ spl4_67
    | ~ spl4_207 ),
    inference(superposition,[],[f6471,f1152]) ).

fof(f40906,plain,
    ( spl4_559
    | ~ spl4_67
    | ~ spl4_203 ),
    inference(avatar_split_clause,[],[f6654,f6454,f1150,f40904]) ).

fof(f40904,plain,
    ( spl4_559
  <=> ! [X0,X1] :
        ( ~ less(X0,vmul(vd517,vd519))
        | ~ less(vd518,X1)
        | less(X0,vmul(X1,vd520)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_559])]) ).

fof(f6654,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vmul(vd517,vd519))
        | ~ less(vd518,X1)
        | less(X0,vmul(X1,vd520)) )
    | ~ spl4_67
    | ~ spl4_203 ),
    inference(superposition,[],[f6455,f1152]) ).

fof(f40901,plain,
    ( spl4_558
    | ~ spl4_61
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1175,f1150,f893,f40899]) ).

fof(f40899,plain,
    ( spl4_558
  <=> ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X0,vd518)
        | ~ greater(X1,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_558])]) ).

fof(f1175,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X0,X1),vmul(vd517,vd519))
        | ~ greater(X0,vd518)
        | ~ greater(X1,vd520) )
    | ~ spl4_61
    | ~ spl4_67 ),
    inference(superposition,[],[f894,f1152]) ).

fof(f40896,plain,
    ( spl4_557
    | ~ spl4_61
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1174,f1150,f893,f40894]) ).

fof(f40894,plain,
    ( spl4_557
  <=> ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd518,X0)
        | ~ greater(vd520,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_557])]) ).

fof(f1174,plain,
    ( ! [X0,X1] :
        ( greater(vmul(vd517,vd519),vmul(X0,X1))
        | ~ greater(vd518,X0)
        | ~ greater(vd520,X1) )
    | ~ spl4_61
    | ~ spl4_67 ),
    inference(superposition,[],[f894,f1152]) ).

fof(f40890,plain,
    ( spl4_556
    | ~ spl4_59
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1173,f1150,f885,f40888]) ).

fof(f40888,plain,
    ( spl4_556
  <=> ! [X0] : vmul(vd518,vplus(vd520,X0)) = vplus(vmul(vd517,vd519),vmul(vd518,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_556])]) ).

fof(f1173,plain,
    ( ! [X0] : vmul(vd518,vplus(vd520,X0)) = vplus(vmul(vd517,vd519),vmul(vd518,X0))
    | ~ spl4_59
    | ~ spl4_67 ),
    inference(superposition,[],[f886,f1152]) ).

fof(f40884,plain,
    ( spl4_555
    | ~ spl4_59
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1172,f1150,f885,f40882]) ).

fof(f40882,plain,
    ( spl4_555
  <=> ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(vd518,X0),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_555])]) ).

fof(f1172,plain,
    ( ! [X0] : vmul(vd518,vplus(X0,vd520)) = vplus(vmul(vd518,X0),vmul(vd517,vd519))
    | ~ spl4_59
    | ~ spl4_67 ),
    inference(superposition,[],[f886,f1152]) ).

fof(f40880,plain,
    ( spl4_411
    | ~ spl4_20
    | ~ spl4_75
    | ~ spl4_519
    | spl4_542 ),
    inference(avatar_split_clause,[],[f40003,f39405,f37713,f1287,f344,f27703]) ).

fof(f40003,plain,
    ( greater(vd517,vd520)
    | ~ spl4_20
    | ~ spl4_75
    | ~ spl4_519
    | spl4_542 ),
    inference(forward_demodulation,[],[f37731,f39412]) ).

fof(f37731,plain,
    ( greater(vd517,v1)
    | ~ spl4_20
    | ~ spl4_519 ),
    inference(resolution,[],[f37715,f345]) ).

fof(f37715,plain,
    ( less(v1,vd517)
    | ~ spl4_519 ),
    inference(avatar_component_clause,[],[f37713]) ).

fof(f40873,plain,
    ( spl4_554
    | ~ spl4_42
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f3829,f3822,f491,f40870]) ).

fof(f40870,plain,
    ( spl4_554
  <=> less(vd517,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_554])]) ).

fof(f3829,plain,
    ( less(vd517,vd517)
    | ~ spl4_42
    | ~ spl4_171 ),
    inference(superposition,[],[f493,f3824]) ).

fof(f40862,plain,
    ( spl4_15
    | ~ spl4_9
    | ~ spl4_93 ),
    inference(avatar_split_clause,[],[f1609,f1430,f297,f322]) ).

fof(f1430,plain,
    ( spl4_93
  <=> vd517 = vplus(vd518,sK3(vd518,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).

fof(f1609,plain,
    ( greater(vd517,vd518)
    | ~ spl4_9
    | ~ spl4_93 ),
    inference(superposition,[],[f298,f1432]) ).

fof(f1432,plain,
    ( vd517 = vplus(vd518,sK3(vd518,vd517))
    | ~ spl4_93 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f40848,plain,
    ( spl4_553
    | ~ spl4_22
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1544,f1299,f352,f40845]) ).

fof(f1544,plain,
    ( leq(vd519,vd520)
    | ~ spl4_22
    | ~ spl4_78 ),
    inference(resolution,[],[f1301,f353]) ).

fof(f1301,plain,
    ( less(vd519,vd520)
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f40841,plain,
    ( ~ spl4_409
    | ~ spl4_17
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1143,f491,f332,f26839]) ).

fof(f1143,plain,
    ( ~ greater(vd518,vd517)
    | ~ spl4_17
    | ~ spl4_42 ),
    inference(resolution,[],[f493,f333]) ).

fof(f40840,plain,
    ( ~ spl4_552
    | ~ spl4_17
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f694,f460,f332,f40837]) ).

fof(f694,plain,
    ( ~ greater(vd520,vd519)
    | ~ spl4_17
    | ~ spl4_39 ),
    inference(resolution,[],[f462,f333]) ).

fof(f40828,plain,
    ( spl4_13
    | ~ spl4_20
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f693,f460,f344,f313]) ).

fof(f313,plain,
    ( spl4_13
  <=> greater(vd519,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f693,plain,
    ( greater(vd519,vd520)
    | ~ spl4_20
    | ~ spl4_39 ),
    inference(resolution,[],[f462,f345]) ).

fof(f40237,plain,
    ( spl4_551
    | ~ spl4_75
    | spl4_542 ),
    inference(avatar_split_clause,[],[f39412,f39405,f1287,f40234]) ).

fof(f40232,plain,
    ( spl4_550
    | ~ spl4_171
    | ~ spl4_537 ),
    inference(avatar_split_clause,[],[f39380,f39377,f3822,f40230]) ).

fof(f39380,plain,
    ( ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd517,vmul(X0,vd520))
    | ~ spl4_171
    | ~ spl4_537 ),
    inference(forward_demodulation,[],[f39378,f3824]) ).

fof(f39378,plain,
    ( ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd518,vmul(X0,vd520))
    | ~ spl4_537 ),
    inference(avatar_component_clause,[],[f39377]) ).

fof(f40156,plain,
    ( spl4_549
    | ~ spl4_44
    | ~ spl4_513 ),
    inference(avatar_split_clause,[],[f37105,f37094,f503,f40154]) ).

fof(f40154,plain,
    ( spl4_549
  <=> ! [X0] :
        ( less(vmul(X0,vd519),vd519)
        | ~ less(X0,vd517) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_549])]) ).

fof(f503,plain,
    ( spl4_44
  <=> ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X0))
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f37094,plain,
    ( spl4_513
  <=> vd519 = vmul(vd517,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_513])]) ).

fof(f37105,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd519),vd519)
        | ~ less(X0,vd517) )
    | ~ spl4_44
    | ~ spl4_513 ),
    inference(superposition,[],[f504,f37096]) ).

fof(f37096,plain,
    ( vd519 = vmul(vd517,vd519)
    | ~ spl4_513 ),
    inference(avatar_component_clause,[],[f37094]) ).

fof(f504,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X0))
        | ~ less(X1,X2) )
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f40152,plain,
    ( spl4_548
    | ~ spl4_44
    | ~ spl4_513 ),
    inference(avatar_split_clause,[],[f37104,f37094,f503,f40150]) ).

fof(f40150,plain,
    ( spl4_548
  <=> ! [X0] :
        ( less(vd519,vmul(X0,vd519))
        | ~ less(vd517,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_548])]) ).

fof(f37104,plain,
    ( ! [X0] :
        ( less(vd519,vmul(X0,vd519))
        | ~ less(vd517,X0) )
    | ~ spl4_44
    | ~ spl4_513 ),
    inference(superposition,[],[f504,f37096]) ).

fof(f40053,plain,
    ( spl4_547
    | ~ spl4_24
    | ~ spl4_514 ),
    inference(avatar_split_clause,[],[f38452,f37304,f369,f40051]) ).

fof(f37304,plain,
    ( spl4_514
  <=> vd517 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_514])]) ).

fof(f38452,plain,
    ( ! [X0] : leq(vd517,X0)
    | ~ spl4_24
    | ~ spl4_514 ),
    inference(superposition,[],[f370,f37306]) ).

fof(f37306,plain,
    ( vd517 = v1
    | ~ spl4_514 ),
    inference(avatar_component_clause,[],[f37304]) ).

fof(f40049,plain,
    ( spl4_546
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_462
    | ~ spl4_514 ),
    inference(avatar_split_clause,[],[f39708,f37304,f36295,f36213,f289,f40047]) ).

fof(f39708,plain,
    ( ! [X0] : less(vd519,vplus(vd520,X0))
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_462
    | ~ spl4_514 ),
    inference(forward_demodulation,[],[f37048,f38450]) ).

fof(f38450,plain,
    ( ! [X0] : vmul(vd517,X0) = X0
    | ~ spl4_7
    | ~ spl4_514 ),
    inference(superposition,[],[f290,f37306]) ).

fof(f40045,plain,
    ( spl4_545
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_461
    | ~ spl4_514 ),
    inference(avatar_split_clause,[],[f39707,f37304,f36290,f36213,f289,f40043]) ).

fof(f39707,plain,
    ( ! [X0] : greater(vplus(vd520,X0),vd519)
    | ~ spl4_7
    | ~ spl4_451
    | ~ spl4_461
    | ~ spl4_514 ),
    inference(forward_demodulation,[],[f37049,f38450]) ).

fof(f40031,plain,
    ( spl4_371
    | ~ spl4_75
    | ~ spl4_519
    | spl4_542 ),
    inference(avatar_split_clause,[],[f40004,f39405,f37713,f1287,f22501]) ).

fof(f22501,plain,
    ( spl4_371
  <=> less(vd520,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_371])]) ).

fof(f40004,plain,
    ( less(vd520,vd517)
    | ~ spl4_75
    | ~ spl4_519
    | spl4_542 ),
    inference(forward_demodulation,[],[f37715,f39412]) ).

fof(f39992,plain,
    ( ~ spl4_39
    | ~ spl4_7
    | spl4_443
    | ~ spl4_514 ),
    inference(avatar_split_clause,[],[f39958,f37304,f36144,f289,f460]) ).

fof(f36144,plain,
    ( spl4_443
  <=> less(vd520,vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_443])]) ).

fof(f39958,plain,
    ( ~ less(vd520,vd519)
    | ~ spl4_7
    | spl4_443
    | ~ spl4_514 ),
    inference(forward_demodulation,[],[f36145,f38450]) ).

fof(f36145,plain,
    ( ~ less(vd520,vmul(vd517,vd519))
    | spl4_443 ),
    inference(avatar_component_clause,[],[f36144]) ).

fof(f39976,plain,
    ( spl4_411
    | ~ spl4_75
    | ~ spl4_171
    | ~ spl4_452
    | spl4_542 ),
    inference(avatar_split_clause,[],[f39431,f39405,f36218,f3822,f1287,f27703]) ).

fof(f39431,plain,
    ( greater(vd517,vd520)
    | ~ spl4_75
    | ~ spl4_171
    | ~ spl4_452
    | spl4_542 ),
    inference(forward_demodulation,[],[f38980,f39412]) ).

fof(f38980,plain,
    ( greater(vd517,v1)
    | ~ spl4_171
    | ~ spl4_452 ),
    inference(forward_demodulation,[],[f36219,f3824]) ).

fof(f39419,plain,
    ( spl4_544
    | ~ spl4_518
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_184 ),
    inference(avatar_split_clause,[],[f37344,f3902,f3822,f1150,f37708,f39417]) ).

fof(f39417,plain,
    ( spl4_544
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_544])]) ).

fof(f37344,plain,
    ( ! [X0] :
        ( ~ greater(vd517,v1)
        | greater(vmul(vd517,vd519),X0)
        | ~ greater(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_171
    | ~ spl4_184 ),
    inference(forward_demodulation,[],[f6021,f3824]) ).

fof(f6021,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd518,v1)
        | ~ greater(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_184 ),
    inference(superposition,[],[f3903,f1152]) ).

fof(f39411,plain,
    ( ~ spl4_542
    | spl4_543
    | ~ spl4_67
    | ~ spl4_185 ),
    inference(avatar_split_clause,[],[f6047,f3906,f1150,f39409,f39405]) ).

fof(f6047,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd518,X0)
        | ~ greater(vd520,v1) )
    | ~ spl4_67
    | ~ spl4_185 ),
    inference(superposition,[],[f3907,f1152]) ).

fof(f39401,plain,
    ( spl4_541
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_179 ),
    inference(avatar_split_clause,[],[f5724,f3882,f1150,f381,f39398]) ).

fof(f39398,plain,
    ( spl4_541
  <=> vplus(vd518,vmul(vd517,vd519)) = vmul(vd518,vplus(vd520,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_541])]) ).

fof(f5724,plain,
    ( vplus(vd518,vmul(vd517,vd519)) = vmul(vd518,vplus(vd520,v1))
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_179 ),
    inference(forward_demodulation,[],[f5615,f382]) ).

fof(f5615,plain,
    ( vmul(vd518,vplus(v1,vd520)) = vplus(vd518,vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_179 ),
    inference(superposition,[],[f3883,f1152]) ).

fof(f39395,plain,
    ( spl4_540
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_175 ),
    inference(avatar_split_clause,[],[f5232,f3861,f1150,f381,f377,f39392]) ).

fof(f39392,plain,
    ( spl4_540
  <=> vplus(vd520,vmul(vd517,vd519)) = vmul(vd520,vplus(vd518,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_540])]) ).

fof(f5232,plain,
    ( vplus(vd520,vmul(vd517,vd519)) = vmul(vd520,vplus(vd518,v1))
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_175 ),
    inference(forward_demodulation,[],[f5231,f382]) ).

fof(f5231,plain,
    ( vplus(vd520,vmul(vd517,vd519)) = vmul(vd520,vplus(v1,vd518))
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_175 ),
    inference(forward_demodulation,[],[f5129,f378]) ).

fof(f5129,plain,
    ( vmul(vplus(v1,vd518),vd520) = vplus(vd520,vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_175 ),
    inference(superposition,[],[f3862,f1152]) ).

fof(f39389,plain,
    ( spl4_539
    | ~ spl4_67
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4281,f3812,f1150,f39387]) ).

fof(f39387,plain,
    ( spl4_539
  <=> ! [X0] : vmul(vd518,vmul(vd520,X0)) = vmul(X0,vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_539])]) ).

fof(f4281,plain,
    ( ! [X0] : vmul(vd518,vmul(vd520,X0)) = vmul(X0,vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_169 ),
    inference(superposition,[],[f3813,f1152]) ).

fof(f39384,plain,
    ( spl4_538
    | ~ spl4_67
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4262,f3812,f1150,f39382]) ).

fof(f39382,plain,
    ( spl4_538
  <=> ! [X0] : vmul(X0,vmul(vd517,vd519)) = vmul(vd520,vmul(X0,vd518)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_538])]) ).

fof(f4262,plain,
    ( ! [X0] : vmul(X0,vmul(vd517,vd519)) = vmul(vd520,vmul(X0,vd518))
    | ~ spl4_67
    | ~ spl4_169 ),
    inference(superposition,[],[f3813,f1152]) ).

fof(f39379,plain,
    ( spl4_537
    | ~ spl4_54
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(avatar_split_clause,[],[f4233,f3812,f3808,f1150,f675,f39377]) ).

fof(f4233,plain,
    ( ! [X0] : vmul(vd517,vmul(vd519,X0)) = vmul(vd518,vmul(X0,vd520))
    | ~ spl4_54
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(forward_demodulation,[],[f4232,f676]) ).

fof(f4232,plain,
    ( ! [X0] : vmul(vmul(vd517,vd519),X0) = vmul(vd518,vmul(X0,vd520))
    | ~ spl4_67
    | ~ spl4_168
    | ~ spl4_169 ),
    inference(forward_demodulation,[],[f4153,f3813]) ).

fof(f39373,plain,
    ( spl4_536
    | ~ spl4_26
    | ~ spl4_58
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1346,f1150,f696,f381,f39370]) ).

fof(f39370,plain,
    ( spl4_536
  <=> vplus(vmul(vd517,vd519),vd518) = vmul(vd518,vplus(vd520,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_536])]) ).

fof(f1346,plain,
    ( vplus(vmul(vd517,vd519),vd518) = vmul(vd518,vplus(vd520,v1))
    | ~ spl4_26
    | ~ spl4_58
    | ~ spl4_67 ),
    inference(forward_demodulation,[],[f1171,f382]) ).

fof(f1171,plain,
    ( vmul(vd518,vplus(v1,vd520)) = vplus(vmul(vd517,vd519),vd518)
    | ~ spl4_58
    | ~ spl4_67 ),
    inference(superposition,[],[f697,f1152]) ).

fof(f39367,plain,
    ( spl4_535
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_56
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1339,f1150,f683,f381,f377,f39364]) ).

fof(f39364,plain,
    ( spl4_535
  <=> vplus(vmul(vd517,vd519),vd520) = vmul(vd520,vplus(vd518,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_535])]) ).

fof(f1339,plain,
    ( vplus(vmul(vd517,vd519),vd520) = vmul(vd520,vplus(vd518,v1))
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_56
    | ~ spl4_67 ),
    inference(forward_demodulation,[],[f1177,f382]) ).

fof(f1177,plain,
    ( vplus(vmul(vd517,vd519),vd520) = vmul(vd520,vplus(v1,vd518))
    | ~ spl4_25
    | ~ spl4_56
    | ~ spl4_67 ),
    inference(forward_demodulation,[],[f1170,f378]) ).

fof(f1170,plain,
    ( vmul(vplus(v1,vd518),vd520) = vplus(vmul(vd517,vd519),vd520)
    | ~ spl4_56
    | ~ spl4_67 ),
    inference(superposition,[],[f684,f1152]) ).

fof(f39361,plain,
    ( spl4_534
    | ~ spl4_54
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1176,f1150,f675,f39359]) ).

fof(f39359,plain,
    ( spl4_534
  <=> ! [X0] : vmul(vd518,vmul(vd520,X0)) = vmul(vd517,vmul(vd519,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_534])]) ).

fof(f1176,plain,
    ( ! [X0] : vmul(vd518,vmul(vd520,X0)) = vmul(vd517,vmul(vd519,X0))
    | ~ spl4_54
    | ~ spl4_67 ),
    inference(forward_demodulation,[],[f1169,f676]) ).

fof(f1169,plain,
    ( ! [X0] : vmul(vd518,vmul(vd520,X0)) = vmul(vmul(vd517,vd519),X0)
    | ~ spl4_54
    | ~ spl4_67 ),
    inference(superposition,[],[f676,f1152]) ).

fof(f39189,plain,
    ( spl4_533
    | ~ spl4_171
    | ~ spl4_479 ),
    inference(avatar_split_clause,[],[f37356,f36606,f3822,f39187]) ).

fof(f39187,plain,
    ( spl4_533
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd517))
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_533])]) ).

fof(f37356,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd517))
        | ~ less(vd520,X0) )
    | ~ spl4_171
    | ~ spl4_479 ),
    inference(forward_demodulation,[],[f36607,f3824]) ).

fof(f39185,plain,
    ( spl4_532
    | ~ spl4_171
    | ~ spl4_490 ),
    inference(avatar_split_clause,[],[f37355,f36714,f3822,f39183]) ).

fof(f39183,plain,
    ( spl4_532
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd517))
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_532])]) ).

fof(f36714,plain,
    ( spl4_490
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_490])]) ).

fof(f37355,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd517))
        | ~ greater(vd520,X0) )
    | ~ spl4_171
    | ~ spl4_490 ),
    inference(forward_demodulation,[],[f36715,f3824]) ).

fof(f36715,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ greater(vd520,X0) )
    | ~ spl4_490 ),
    inference(avatar_component_clause,[],[f36714]) ).

fof(f39181,plain,
    ( spl4_531
    | ~ spl4_171
    | ~ spl4_498 ),
    inference(avatar_split_clause,[],[f37354,f36809,f3822,f39179]) ).

fof(f39179,plain,
    ( spl4_531
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd517))
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_531])]) ).

fof(f37354,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd517))
        | less(vd520,X0) )
    | ~ spl4_171
    | ~ spl4_498 ),
    inference(forward_demodulation,[],[f36810,f3824]) ).

fof(f39177,plain,
    ( spl4_530
    | ~ spl4_171
    | ~ spl4_504 ),
    inference(avatar_split_clause,[],[f37350,f36907,f3822,f39175]) ).

fof(f39175,plain,
    ( spl4_530
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd517))
        | greater(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_530])]) ).

fof(f37350,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd517))
        | greater(vd520,X0) )
    | ~ spl4_171
    | ~ spl4_504 ),
    inference(forward_demodulation,[],[f36908,f3824]) ).

fof(f39173,plain,
    ( spl4_529
    | ~ spl4_171
    | ~ spl4_509 ),
    inference(avatar_split_clause,[],[f37348,f36976,f3822,f39171]) ).

fof(f39171,plain,
    ( spl4_529
  <=> ! [X0] :
        ( ~ greater(vmul(X0,vd517),vmul(vd517,vd519))
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_529])]) ).

fof(f37348,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd517),vmul(vd517,vd519))
        | greater(X0,vd520) )
    | ~ spl4_171
    | ~ spl4_509 ),
    inference(forward_demodulation,[],[f36977,f3824]) ).

fof(f39160,plain,
    ( spl4_518
    | ~ spl4_20
    | ~ spl4_519 ),
    inference(avatar_split_clause,[],[f37731,f37713,f344,f37708]) ).

fof(f39159,plain,
    ( spl4_528
    | ~ spl4_171
    | ~ spl4_502 ),
    inference(avatar_split_clause,[],[f37347,f36871,f3822,f39157]) ).

fof(f39157,plain,
    ( spl4_528
  <=> ! [X0] :
        ( ~ less(vmul(X0,vd517),vmul(vd517,vd519))
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_528])]) ).

fof(f37347,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,vd517),vmul(vd517,vd519))
        | less(X0,vd520) )
    | ~ spl4_171
    | ~ spl4_502 ),
    inference(forward_demodulation,[],[f36872,f3824]) ).

fof(f39155,plain,
    ( spl4_527
    | ~ spl4_171
    | ~ spl4_495 ),
    inference(avatar_split_clause,[],[f37346,f36767,f3822,f39153]) ).

fof(f39153,plain,
    ( spl4_527
  <=> ! [X0] :
        ( greater(vmul(X0,vd517),vmul(vd517,vd519))
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_527])]) ).

fof(f37346,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd517),vmul(vd517,vd519))
        | ~ greater(X0,vd520) )
    | ~ spl4_171
    | ~ spl4_495 ),
    inference(forward_demodulation,[],[f36768,f3824]) ).

fof(f39151,plain,
    ( spl4_526
    | ~ spl4_171
    | ~ spl4_484 ),
    inference(avatar_split_clause,[],[f37343,f36660,f3822,f39149]) ).

fof(f39149,plain,
    ( spl4_526
  <=> ! [X0] :
        ( less(vmul(X0,vd517),vmul(vd517,vd519))
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_526])]) ).

fof(f37343,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd517),vmul(vd517,vd519))
        | ~ less(X0,vd520) )
    | ~ spl4_171
    | ~ spl4_484 ),
    inference(forward_demodulation,[],[f36661,f3824]) ).

fof(f38916,plain,
    ( ~ spl4_514
    | ~ spl4_171
    | spl4_451 ),
    inference(avatar_split_clause,[],[f37366,f36213,f3822,f37304]) ).

fof(f37366,plain,
    ( vd517 != v1
    | ~ spl4_171
    | spl4_451 ),
    inference(forward_demodulation,[],[f36214,f3824]) ).

fof(f36214,plain,
    ( vd518 != v1
    | spl4_451 ),
    inference(avatar_component_clause,[],[f36213]) ).

fof(f38448,plain,
    ( spl4_514
    | ~ spl4_75
    | spl4_518 ),
    inference(avatar_split_clause,[],[f37726,f37708,f1287,f37304]) ).

fof(f37726,plain,
    ( vd517 = v1
    | ~ spl4_75
    | spl4_518 ),
    inference(resolution,[],[f37710,f1288]) ).

fof(f37710,plain,
    ( ~ greater(vd517,v1)
    | spl4_518 ),
    inference(avatar_component_clause,[],[f37708]) ).

fof(f38015,plain,
    ( spl4_525
    | ~ spl4_171
    | ~ spl4_460 ),
    inference(avatar_split_clause,[],[f37364,f36283,f3822,f38012]) ).

fof(f38012,plain,
    ( spl4_525
  <=> less(vmul(vd517,vd519),vmul(vd520,vplus(vd517,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_525])]) ).

fof(f36283,plain,
    ( spl4_460
  <=> less(vmul(vd517,vd519),vmul(vd520,vplus(vd518,v1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_460])]) ).

fof(f37364,plain,
    ( less(vmul(vd517,vd519),vmul(vd520,vplus(vd517,v1)))
    | ~ spl4_171
    | ~ spl4_460 ),
    inference(forward_demodulation,[],[f36285,f3824]) ).

fof(f36285,plain,
    ( less(vmul(vd517,vd519),vmul(vd520,vplus(vd518,v1)))
    | ~ spl4_460 ),
    inference(avatar_component_clause,[],[f36283]) ).

fof(f38009,plain,
    ( spl4_524
    | ~ spl4_171
    | ~ spl4_462 ),
    inference(avatar_split_clause,[],[f37340,f36295,f3822,f38007]) ).

fof(f38007,plain,
    ( spl4_524
  <=> ! [X0] : less(vmul(vd517,vd519),vmul(vd517,vplus(vd520,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_524])]) ).

fof(f37340,plain,
    ( ! [X0] : less(vmul(vd517,vd519),vmul(vd517,vplus(vd520,X0)))
    | ~ spl4_171
    | ~ spl4_462 ),
    inference(forward_demodulation,[],[f36296,f3824]) ).

fof(f38004,plain,
    ( spl4_523
    | ~ spl4_171
    | ~ spl4_461 ),
    inference(avatar_split_clause,[],[f37339,f36290,f3822,f38002]) ).

fof(f38002,plain,
    ( spl4_523
  <=> ! [X0] : greater(vmul(vd517,vplus(vd520,X0)),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_523])]) ).

fof(f37339,plain,
    ( ! [X0] : greater(vmul(vd517,vplus(vd520,X0)),vmul(vd517,vd519))
    | ~ spl4_171
    | ~ spl4_461 ),
    inference(forward_demodulation,[],[f36291,f3824]) ).

fof(f37998,plain,
    ( spl4_522
    | ~ spl4_171
    | ~ spl4_459 ),
    inference(avatar_split_clause,[],[f37338,f36275,f3822,f37995]) ).

fof(f37995,plain,
    ( spl4_522
  <=> greater(vmul(vd520,vplus(vd517,v1)),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_522])]) ).

fof(f36275,plain,
    ( spl4_459
  <=> greater(vmul(vd520,vplus(vd518,v1)),vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_459])]) ).

fof(f37338,plain,
    ( greater(vmul(vd520,vplus(vd517,v1)),vmul(vd517,vd519))
    | ~ spl4_171
    | ~ spl4_459 ),
    inference(forward_demodulation,[],[f36277,f3824]) ).

fof(f36277,plain,
    ( greater(vmul(vd520,vplus(vd518,v1)),vmul(vd517,vd519))
    | ~ spl4_459 ),
    inference(avatar_component_clause,[],[f36275]) ).

fof(f37790,plain,
    ( ~ spl4_521
    | spl4_68
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f3832,f3822,f1154,f37787]) ).

fof(f3832,plain,
    ( ~ less(vmul(vd517,vd519),vmul(vd517,vd520))
    | spl4_68
    | ~ spl4_171 ),
    inference(superposition,[],[f1155,f3824]) ).

fof(f1155,plain,
    ( ~ less(vmul(vd517,vd519),vmul(vd518,vd520))
    | spl4_68 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f37785,plain,
    ( spl4_520
    | ~ spl4_67
    | ~ spl4_171 ),
    inference(avatar_split_clause,[],[f3831,f3822,f1150,f37782]) ).

fof(f3831,plain,
    ( vmul(vd517,vd519) = vmul(vd517,vd520)
    | ~ spl4_67
    | ~ spl4_171 ),
    inference(superposition,[],[f1152,f3824]) ).

fof(f37716,plain,
    ( spl4_519
    | ~ spl4_171
    | ~ spl4_442 ),
    inference(avatar_split_clause,[],[f37367,f36140,f3822,f37713]) ).

fof(f37367,plain,
    ( less(v1,vd517)
    | ~ spl4_171
    | ~ spl4_442 ),
    inference(forward_demodulation,[],[f36141,f3824]) ).

fof(f37711,plain,
    ( ~ spl4_518
    | ~ spl4_171
    | spl4_452 ),
    inference(avatar_split_clause,[],[f37365,f36218,f3822,f37708]) ).

fof(f37365,plain,
    ( ~ greater(vd517,v1)
    | ~ spl4_171
    | spl4_452 ),
    inference(forward_demodulation,[],[f36220,f3824]) ).

fof(f36220,plain,
    ( ~ greater(vd518,v1)
    | spl4_452 ),
    inference(avatar_component_clause,[],[f36218]) ).

fof(f37706,plain,
    ( ~ spl4_517
    | ~ spl4_171
    | spl4_445 ),
    inference(avatar_split_clause,[],[f37309,f36168,f3822,f37703]) ).

fof(f37703,plain,
    ( spl4_517
  <=> less(vd517,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_517])]) ).

fof(f36168,plain,
    ( spl4_445
  <=> less(vd518,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_445])]) ).

fof(f37309,plain,
    ( ~ less(vd517,v1)
    | ~ spl4_171
    | spl4_445 ),
    inference(forward_demodulation,[],[f36170,f3824]) ).

fof(f36170,plain,
    ( ~ less(vd518,v1)
    | spl4_445 ),
    inference(avatar_component_clause,[],[f36168]) ).

fof(f37701,plain,
    ( ~ spl4_516
    | ~ spl4_171
    | spl4_448 ),
    inference(avatar_split_clause,[],[f37308,f36190,f3822,f37698]) ).

fof(f37698,plain,
    ( spl4_516
  <=> greater(v1,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_516])]) ).

fof(f36190,plain,
    ( spl4_448
  <=> greater(v1,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_448])]) ).

fof(f37308,plain,
    ( ~ greater(v1,vd517)
    | ~ spl4_171
    | spl4_448 ),
    inference(forward_demodulation,[],[f36192,f3824]) ).

fof(f36192,plain,
    ( ~ greater(v1,vd518)
    | spl4_448 ),
    inference(avatar_component_clause,[],[f36190]) ).

fof(f37394,plain,
    ( spl4_515
    | ~ spl4_13
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f556,f499,f313,f37391]) ).

fof(f556,plain,
    ( vd519 = vplus(vd520,sK3(vd520,vd519))
    | ~ spl4_13
    | ~ spl4_43 ),
    inference(resolution,[],[f500,f315]) ).

fof(f315,plain,
    ( greater(vd519,vd520)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f37307,plain,
    ( spl4_514
    | ~ spl4_104
    | ~ spl4_513 ),
    inference(avatar_split_clause,[],[f37228,f37094,f1699,f37304]) ).

fof(f37228,plain,
    ( vd517 = v1
    | ~ spl4_104
    | ~ spl4_513 ),
    inference(trivial_inequality_removal,[],[f37125]) ).

fof(f37125,plain,
    ( vd519 != vd519
    | vd517 = v1
    | ~ spl4_104
    | ~ spl4_513 ),
    inference(superposition,[],[f1700,f37096]) ).

fof(f37097,plain,
    ( spl4_513
    | ~ spl4_7
    | ~ spl4_82
    | ~ spl4_451 ),
    inference(avatar_split_clause,[],[f37091,f36213,f1368,f289,f37094]) ).

fof(f37091,plain,
    ( vd519 = vmul(vd517,vd519)
    | ~ spl4_7
    | ~ spl4_82
    | ~ spl4_451 ),
    inference(forward_demodulation,[],[f1370,f36387]) ).

fof(f37088,plain,
    ( spl4_77
    | spl4_13
    | ~ spl4_14
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f472,f436,f317,f313,f1295]) ).

fof(f472,plain,
    ( greater(vd519,vd520)
    | vd519 = vd520
    | ~ spl4_14
    | ~ spl4_33 ),
    inference(resolution,[],[f437,f319]) ).

fof(f37040,plain,
    ( spl4_512
    | ~ spl4_199
    | ~ spl4_466 ),
    inference(avatar_split_clause,[],[f36503,f36500,f6139,f37038]) ).

fof(f37038,plain,
    ( spl4_512
  <=> ! [X0] :
        ( greater(vmul(vd517,vd517),vmul(X0,vd520))
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_512])]) ).

fof(f6139,plain,
    ( spl4_199
  <=> vd517 = vd519 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_199])]) ).

fof(f36500,plain,
    ( spl4_466
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_466])]) ).

fof(f36503,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd517),vmul(X0,vd520))
        | ~ greater(vd518,X0) )
    | ~ spl4_199
    | ~ spl4_466 ),
    inference(forward_demodulation,[],[f36501,f6141]) ).

fof(f6141,plain,
    ( vd517 = vd519
    | ~ spl4_199 ),
    inference(avatar_component_clause,[],[f6139]) ).

fof(f36501,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(vd518,X0) )
    | ~ spl4_466 ),
    inference(avatar_component_clause,[],[f36500]) ).

fof(f37036,plain,
    ( spl4_511
    | ~ spl4_199
    | ~ spl4_465 ),
    inference(avatar_split_clause,[],[f36498,f36495,f6139,f37034]) ).

fof(f37034,plain,
    ( spl4_511
  <=> ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd517))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_511])]) ).

fof(f36495,plain,
    ( spl4_465
  <=> ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_465])]) ).

fof(f36498,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd517))
        | ~ less(X0,vd518) )
    | ~ spl4_199
    | ~ spl4_465 ),
    inference(forward_demodulation,[],[f36496,f6141]) ).

fof(f36496,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_465 ),
    inference(avatar_component_clause,[],[f36495]) ).

fof(f36984,plain,
    ( spl4_510
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_509 ),
    inference(avatar_split_clause,[],[f36980,f36976,f36213,f6139,f301,f36982]) ).

fof(f36982,plain,
    ( spl4_510
  <=> ! [X0] :
        ( ~ greater(X0,vmul(vd517,vd517))
        | greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_510])]) ).

fof(f36980,plain,
    ( ! [X0] :
        ( ~ greater(X0,vmul(vd517,vd517))
        | greater(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_509 ),
    inference(forward_demodulation,[],[f36979,f36388]) ).

fof(f36979,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd518),vmul(vd517,vd517))
        | greater(X0,vd520) )
    | ~ spl4_199
    | ~ spl4_509 ),
    inference(forward_demodulation,[],[f36977,f6141]) ).

fof(f36978,plain,
    ( spl4_509
    | ~ spl4_67
    | ~ spl4_161 ),
    inference(avatar_split_clause,[],[f3708,f2834,f1150,f36976]) ).

fof(f3708,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd518),vmul(vd517,vd519))
        | greater(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_161 ),
    inference(superposition,[],[f2835,f1152]) ).

fof(f36974,plain,
    ( spl4_508
    | ~ spl4_458
    | ~ spl4_505 ),
    inference(avatar_split_clause,[],[f36916,f36913,f36263,f36971]) ).

fof(f36916,plain,
    ( greater(vd520,vd518)
    | ~ spl4_458
    | ~ spl4_505 ),
    inference(resolution,[],[f36914,f36264]) ).

fof(f36264,plain,
    ( greater(vmul(vd517,vd517),vd518)
    | ~ spl4_458 ),
    inference(avatar_component_clause,[],[f36263]) ).

fof(f36968,plain,
    ( spl4_507
    | ~ spl4_67
    | ~ spl4_161 ),
    inference(avatar_split_clause,[],[f3698,f2834,f1150,f36966]) ).

fof(f36966,plain,
    ( spl4_507
  <=> ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(vd520,X0))
        | greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_507])]) ).

fof(f3698,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(vd520,X0))
        | greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_161 ),
    inference(superposition,[],[f2835,f1152]) ).

fof(f36963,plain,
    ( spl4_506
    | ~ spl4_67
    | ~ spl4_160 ),
    inference(avatar_split_clause,[],[f3675,f2830,f1150,f36961]) ).

fof(f36961,plain,
    ( spl4_506
  <=> ! [X0] :
        ( ~ greater(vmul(vd520,X0),vmul(vd517,vd519))
        | greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_506])]) ).

fof(f3675,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd520,X0),vmul(vd517,vd519))
        | greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_160 ),
    inference(superposition,[],[f2831,f1152]) ).

fof(f36915,plain,
    ( spl4_505
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_504 ),
    inference(avatar_split_clause,[],[f36911,f36907,f36213,f6139,f301,f36913]) ).

fof(f36911,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd517),X0)
        | greater(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_504 ),
    inference(forward_demodulation,[],[f36910,f6141]) ).

fof(f36909,plain,
    ( spl4_504
    | ~ spl4_67
    | ~ spl4_160 ),
    inference(avatar_split_clause,[],[f3665,f2830,f1150,f36907]) ).

fof(f3665,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd518))
        | greater(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_160 ),
    inference(superposition,[],[f2831,f1152]) ).

fof(f36879,plain,
    ( spl4_503
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_502 ),
    inference(avatar_split_clause,[],[f36875,f36871,f36213,f6139,f301,f36877]) ).

fof(f36877,plain,
    ( spl4_503
  <=> ! [X0] :
        ( ~ less(X0,vmul(vd517,vd517))
        | less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_503])]) ).

fof(f36875,plain,
    ( ! [X0] :
        ( ~ less(X0,vmul(vd517,vd517))
        | less(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_502 ),
    inference(forward_demodulation,[],[f36874,f36388]) ).

fof(f36874,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,vd518),vmul(vd517,vd517))
        | less(X0,vd520) )
    | ~ spl4_199
    | ~ spl4_502 ),
    inference(forward_demodulation,[],[f36872,f6141]) ).

fof(f36873,plain,
    ( spl4_502
    | ~ spl4_67
    | ~ spl4_157 ),
    inference(avatar_split_clause,[],[f3557,f2818,f1150,f36871]) ).

fof(f3557,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,vd518),vmul(vd517,vd519))
        | less(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_157 ),
    inference(superposition,[],[f2819,f1152]) ).

fof(f36868,plain,
    ( spl4_501
    | ~ spl4_67
    | ~ spl4_157 ),
    inference(avatar_split_clause,[],[f3547,f2818,f1150,f36866]) ).

fof(f36866,plain,
    ( spl4_501
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(vd520,X0))
        | less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_501])]) ).

fof(f3547,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(vd520,X0))
        | less(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_157 ),
    inference(superposition,[],[f2819,f1152]) ).

fof(f36863,plain,
    ( spl4_500
    | ~ spl4_67
    | ~ spl4_155 ),
    inference(avatar_split_clause,[],[f3523,f2809,f1150,f36861]) ).

fof(f36861,plain,
    ( spl4_500
  <=> ! [X0] :
        ( ~ less(vmul(vd520,X0),vmul(vd517,vd519))
        | less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_500])]) ).

fof(f3523,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd520,X0),vmul(vd517,vd519))
        | less(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_155 ),
    inference(superposition,[],[f2810,f1152]) ).

fof(f36817,plain,
    ( spl4_499
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_498 ),
    inference(avatar_split_clause,[],[f36813,f36809,f36213,f6139,f301,f36815]) ).

fof(f36815,plain,
    ( spl4_499
  <=> ! [X0] :
        ( ~ less(vmul(vd517,vd517),X0)
        | less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_499])]) ).

fof(f36813,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd517),X0)
        | less(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_498 ),
    inference(forward_demodulation,[],[f36812,f6141]) ).

fof(f36811,plain,
    ( spl4_498
    | ~ spl4_67
    | ~ spl4_155 ),
    inference(avatar_split_clause,[],[f3513,f2809,f1150,f36809]) ).

fof(f3513,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd518))
        | less(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_155 ),
    inference(superposition,[],[f2810,f1152]) ).

fof(f36806,plain,
    ( spl4_497
    | ~ spl4_67
    | ~ spl4_154 ),
    inference(avatar_split_clause,[],[f3484,f2805,f1150,f36804]) ).

fof(f36804,plain,
    ( spl4_497
  <=> ! [X0] :
        ( vmul(vd517,vd519) != vmul(X0,vd518)
        | vd520 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_497])]) ).

fof(f3484,plain,
    ( ! [X0] :
        ( vmul(vd517,vd519) != vmul(X0,vd518)
        | vd520 = X0 )
    | ~ spl4_67
    | ~ spl4_154 ),
    inference(superposition,[],[f2806,f1152]) ).

fof(f36775,plain,
    ( spl4_496
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_495 ),
    inference(avatar_split_clause,[],[f36771,f36767,f36213,f6139,f301,f36773]) ).

fof(f36773,plain,
    ( spl4_496
  <=> ! [X0] :
        ( greater(X0,vmul(vd517,vd517))
        | ~ greater(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_496])]) ).

fof(f36771,plain,
    ( ! [X0] :
        ( greater(X0,vmul(vd517,vd517))
        | ~ greater(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_495 ),
    inference(forward_demodulation,[],[f36770,f36388]) ).

fof(f36770,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd518),vmul(vd517,vd517))
        | ~ greater(X0,vd520) )
    | ~ spl4_199
    | ~ spl4_495 ),
    inference(forward_demodulation,[],[f36768,f6141]) ).

fof(f36769,plain,
    ( spl4_495
    | ~ spl4_67
    | ~ spl4_149 ),
    inference(avatar_split_clause,[],[f3327,f2785,f1150,f36767]) ).

fof(f3327,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ greater(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_149 ),
    inference(superposition,[],[f2786,f1152]) ).

fof(f36764,plain,
    ( spl4_494
    | ~ spl4_67
    | ~ spl4_149 ),
    inference(avatar_split_clause,[],[f3317,f2785,f1150,f36762]) ).

fof(f36762,plain,
    ( spl4_494
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(vd520,X0))
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_494])]) ).

fof(f3317,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(vd520,X0))
        | ~ greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_149 ),
    inference(superposition,[],[f2786,f1152]) ).

fof(f36759,plain,
    ( spl4_493
    | ~ spl4_67
    | ~ spl4_148 ),
    inference(avatar_split_clause,[],[f3295,f2781,f1150,f36757]) ).

fof(f36757,plain,
    ( spl4_493
  <=> ! [X0] :
        ( greater(vmul(vd520,X0),vmul(vd517,vd519))
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_493])]) ).

fof(f3295,plain,
    ( ! [X0] :
        ( greater(vmul(vd520,X0),vmul(vd517,vd519))
        | ~ greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_148 ),
    inference(superposition,[],[f2782,f1152]) ).

fof(f36726,plain,
    ( spl4_492
    | ~ spl4_24
    | ~ spl4_451 ),
    inference(avatar_split_clause,[],[f36389,f36213,f369,f36724]) ).

fof(f36724,plain,
    ( spl4_492
  <=> ! [X0] : leq(vd518,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_492])]) ).

fof(f36389,plain,
    ( ! [X0] : leq(vd518,X0)
    | ~ spl4_24
    | ~ spl4_451 ),
    inference(superposition,[],[f370,f36215]) ).

fof(f36722,plain,
    ( spl4_491
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_490 ),
    inference(avatar_split_clause,[],[f36718,f36714,f36213,f6139,f301,f36720]) ).

fof(f36718,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd517),X0)
        | ~ greater(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_490 ),
    inference(forward_demodulation,[],[f36717,f6141]) ).

fof(f36717,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),X0)
        | ~ greater(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_451
    | ~ spl4_490 ),
    inference(forward_demodulation,[],[f36715,f36388]) ).

fof(f36716,plain,
    ( spl4_490
    | ~ spl4_67
    | ~ spl4_148 ),
    inference(avatar_split_clause,[],[f3285,f2781,f1150,f36714]) ).

fof(f3285,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ greater(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_148 ),
    inference(superposition,[],[f2782,f1152]) ).

fof(f36711,plain,
    ( spl4_489
    | ~ spl4_67
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3259,f2777,f1150,f36709]) ).

fof(f36709,plain,
    ( spl4_489
  <=> ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_489])]) ).

fof(f3259,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f1152]) ).

fof(f36706,plain,
    ( spl4_488
    | ~ spl4_67
    | ~ spl4_147 ),
    inference(avatar_split_clause,[],[f3249,f2777,f1150,f36704]) ).

fof(f36704,plain,
    ( spl4_488
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_488])]) ).

fof(f3249,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_147 ),
    inference(superposition,[],[f2778,f1152]) ).

fof(f36701,plain,
    ( spl4_487
    | ~ spl4_67
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3228,f2773,f1150,f36699]) ).

fof(f36699,plain,
    ( spl4_487
  <=> ! [X0] :
        ( geq(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_487])]) ).

fof(f3228,plain,
    ( ! [X0] :
        ( geq(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f1152]) ).

fof(f36696,plain,
    ( spl4_486
    | ~ spl4_67
    | ~ spl4_146 ),
    inference(avatar_split_clause,[],[f3218,f2773,f1150,f36694]) ).

fof(f36694,plain,
    ( spl4_486
  <=> ! [X0] :
        ( geq(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_486])]) ).

fof(f3218,plain,
    ( ! [X0] :
        ( geq(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_146 ),
    inference(superposition,[],[f2774,f1152]) ).

fof(f36668,plain,
    ( spl4_485
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_484 ),
    inference(avatar_split_clause,[],[f36664,f36660,f36213,f6139,f301,f36666]) ).

fof(f36666,plain,
    ( spl4_485
  <=> ! [X0] :
        ( less(X0,vmul(vd517,vd517))
        | ~ less(X0,vd520) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_485])]) ).

fof(f36664,plain,
    ( ! [X0] :
        ( less(X0,vmul(vd517,vd517))
        | ~ less(X0,vd520) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_484 ),
    inference(forward_demodulation,[],[f36663,f36388]) ).

fof(f36663,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd518),vmul(vd517,vd517))
        | ~ less(X0,vd520) )
    | ~ spl4_199
    | ~ spl4_484 ),
    inference(forward_demodulation,[],[f36661,f6141]) ).

fof(f36662,plain,
    ( spl4_484
    | ~ spl4_67
    | ~ spl4_140 ),
    inference(avatar_split_clause,[],[f3019,f2744,f1150,f36660]) ).

fof(f2744,plain,
    ( spl4_140
  <=> ! [X2,X0,X1] :
        ( less(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_140])]) ).

fof(f3019,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd518),vmul(vd517,vd519))
        | ~ less(X0,vd520) )
    | ~ spl4_67
    | ~ spl4_140 ),
    inference(superposition,[],[f2745,f1152]) ).

fof(f2745,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_140 ),
    inference(avatar_component_clause,[],[f2744]) ).

fof(f36657,plain,
    ( spl4_483
    | ~ spl4_67
    | ~ spl4_140 ),
    inference(avatar_split_clause,[],[f3009,f2744,f1150,f36655]) ).

fof(f36655,plain,
    ( spl4_483
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(vd520,X0))
        | ~ less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_483])]) ).

fof(f3009,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(vd520,X0))
        | ~ less(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_140 ),
    inference(superposition,[],[f2745,f1152]) ).

fof(f36653,plain,
    ( spl4_482
    | ~ spl4_2
    | ~ spl4_451 ),
    inference(avatar_split_clause,[],[f36386,f36213,f269,f36651]) ).

fof(f269,plain,
    ( spl4_2
  <=> ! [X0] : geq(X0,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f36386,plain,
    ( ! [X0] : geq(X0,vd518)
    | ~ spl4_2
    | ~ spl4_451 ),
    inference(superposition,[],[f270,f36215]) ).

fof(f270,plain,
    ( ! [X0] : geq(X0,v1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f36648,plain,
    ( spl4_481
    | ~ spl4_67
    | ~ spl4_139 ),
    inference(avatar_split_clause,[],[f2986,f2740,f1150,f36646]) ).

fof(f36646,plain,
    ( spl4_481
  <=> ! [X0] :
        ( less(vmul(vd520,X0),vmul(vd517,vd519))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_481])]) ).

fof(f2986,plain,
    ( ! [X0] :
        ( less(vmul(vd520,X0),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_139 ),
    inference(superposition,[],[f2741,f1152]) ).

fof(f36614,plain,
    ( spl4_480
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_479 ),
    inference(avatar_split_clause,[],[f36610,f36606,f36213,f6139,f301,f36612]) ).

fof(f36612,plain,
    ( spl4_480
  <=> ! [X0] :
        ( less(vmul(vd517,vd517),X0)
        | ~ less(vd520,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_480])]) ).

fof(f36610,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd517),X0)
        | ~ less(vd520,X0) )
    | ~ spl4_10
    | ~ spl4_199
    | ~ spl4_451
    | ~ spl4_479 ),
    inference(forward_demodulation,[],[f36609,f6141]) ).

fof(f36608,plain,
    ( spl4_479
    | ~ spl4_67
    | ~ spl4_139 ),
    inference(avatar_split_clause,[],[f2976,f2740,f1150,f36606]) ).

fof(f2976,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd518))
        | ~ less(vd520,X0) )
    | ~ spl4_67
    | ~ spl4_139 ),
    inference(superposition,[],[f2741,f1152]) ).

fof(f36603,plain,
    ( spl4_478
    | ~ spl4_67
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2954,f2736,f1150,f36601]) ).

fof(f2954,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f1152]) ).

fof(f36598,plain,
    ( spl4_477
    | ~ spl4_67
    | ~ spl4_138 ),
    inference(avatar_split_clause,[],[f2944,f2736,f1150,f36596]) ).

fof(f2944,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_138 ),
    inference(superposition,[],[f2737,f1152]) ).

fof(f36593,plain,
    ( spl4_476
    | ~ spl4_67
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2920,f2732,f1150,f36591]) ).

fof(f36591,plain,
    ( spl4_476
  <=> ! [X0] :
        ( greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_476])]) ).

fof(f2920,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f1152]) ).

fof(f36588,plain,
    ( spl4_475
    | ~ spl4_67
    | ~ spl4_137 ),
    inference(avatar_split_clause,[],[f2910,f2732,f1150,f36586]) ).

fof(f36586,plain,
    ( spl4_475
  <=> ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_475])]) ).

fof(f2910,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_137 ),
    inference(superposition,[],[f2733,f1152]) ).

fof(f36583,plain,
    ( spl4_474
    | ~ spl4_67
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2891,f2728,f1150,f36581]) ).

fof(f36581,plain,
    ( spl4_474
  <=> ! [X0] :
        ( leq(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_474])]) ).

fof(f2891,plain,
    ( ! [X0] :
        ( leq(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_67
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f1152]) ).

fof(f36568,plain,
    ( ~ spl4_15
    | ~ spl4_185
    | ~ spl4_451
    | spl4_458 ),
    inference(avatar_split_clause,[],[f36273,f36263,f36213,f3906,f322]) ).

fof(f36273,plain,
    ( ~ greater(vd517,vd518)
    | ~ spl4_185
    | ~ spl4_451
    | spl4_458 ),
    inference(duplicate_literal_removal,[],[f36272]) ).

fof(f36272,plain,
    ( ~ greater(vd517,vd518)
    | ~ greater(vd517,vd518)
    | ~ spl4_185
    | ~ spl4_451
    | spl4_458 ),
    inference(forward_demodulation,[],[f36267,f36215]) ).

fof(f36267,plain,
    ( ~ greater(vd517,vd518)
    | ~ greater(vd517,v1)
    | ~ spl4_185
    | spl4_458 ),
    inference(resolution,[],[f36265,f3907]) ).

fof(f36566,plain,
    ( spl4_473
    | ~ spl4_67
    | ~ spl4_136 ),
    inference(avatar_split_clause,[],[f2881,f2728,f1150,f36564]) ).

fof(f36564,plain,
    ( spl4_473
  <=> ! [X0] :
        ( leq(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_473])]) ).

fof(f2881,plain,
    ( ! [X0] :
        ( leq(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) )
    | ~ spl4_67
    | ~ spl4_136 ),
    inference(superposition,[],[f2729,f1152]) ).

fof(f36532,plain,
    ( spl4_472
    | ~ spl4_52
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1168,f1150,f540,f36530]) ).

fof(f36530,plain,
    ( spl4_472
  <=> ! [X0] :
        ( ~ greater(vmul(X0,vd520),vmul(vd517,vd519))
        | greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_472])]) ).

fof(f540,plain,
    ( spl4_52
  <=> ! [X2,X0,X1] :
        ( greater(X0,X2)
        | ~ greater(vmul(X0,X1),vmul(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).

fof(f1168,plain,
    ( ! [X0] :
        ( ~ greater(vmul(X0,vd520),vmul(vd517,vd519))
        | greater(X0,vd518) )
    | ~ spl4_52
    | ~ spl4_67 ),
    inference(superposition,[],[f541,f1152]) ).

fof(f541,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,X1),vmul(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_52 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f36527,plain,
    ( spl4_471
    | ~ spl4_52
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1167,f1150,f540,f36525]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( ~ greater(vmul(vd517,vd519),vmul(X0,vd520))
        | greater(vd518,X0) )
    | ~ spl4_52
    | ~ spl4_67 ),
    inference(superposition,[],[f541,f1152]) ).

fof(f36522,plain,
    ( spl4_470
    | ~ spl4_50
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1166,f1150,f527,f36520]) ).

fof(f36520,plain,
    ( spl4_470
  <=> ! [X0] :
        ( ~ less(vmul(X0,vd520),vmul(vd517,vd519))
        | less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_470])]) ).

fof(f527,plain,
    ( spl4_50
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ less(vmul(X0,X1),vmul(X2,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( ~ less(vmul(X0,vd520),vmul(vd517,vd519))
        | less(X0,vd518) )
    | ~ spl4_50
    | ~ spl4_67 ),
    inference(superposition,[],[f528,f1152]) ).

fof(f528,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X0,X1),vmul(X2,X1))
        | less(X0,X2) )
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f36517,plain,
    ( spl4_469
    | ~ spl4_50
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1165,f1150,f527,f36515]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( ~ less(vmul(vd517,vd519),vmul(X0,vd520))
        | less(vd518,X0) )
    | ~ spl4_50
    | ~ spl4_67 ),
    inference(superposition,[],[f528,f1152]) ).

fof(f36512,plain,
    ( spl4_468
    | ~ spl4_48
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1163,f1150,f519,f36510]) ).

fof(f36510,plain,
    ( spl4_468
  <=> ! [X0] :
        ( vmul(vd517,vd519) != vmul(X0,vd520)
        | vd518 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_468])]) ).

fof(f519,plain,
    ( spl4_48
  <=> ! [X2,X0,X1] :
        ( X0 = X2
        | vmul(X0,X1) != vmul(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

fof(f1163,plain,
    ( ! [X0] :
        ( vmul(vd517,vd519) != vmul(X0,vd520)
        | vd518 = X0 )
    | ~ spl4_48
    | ~ spl4_67 ),
    inference(superposition,[],[f520,f1152]) ).

fof(f520,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X0,X1) != vmul(X2,X1)
        | X0 = X2 )
    | ~ spl4_48 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f36507,plain,
    ( spl4_467
    | ~ spl4_46
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1162,f1150,f511,f36505]) ).

fof(f36505,plain,
    ( spl4_467
  <=> ! [X0] :
        ( greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_467])]) ).

fof(f511,plain,
    ( spl4_46
  <=> ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X0))
        | ~ greater(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( greater(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ greater(X0,vd518) )
    | ~ spl4_46
    | ~ spl4_67 ),
    inference(superposition,[],[f512,f1152]) ).

fof(f512,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X0))
        | ~ greater(X1,X2) )
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f36502,plain,
    ( spl4_466
    | ~ spl4_46
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1161,f1150,f511,f36500]) ).

fof(f1161,plain,
    ( ! [X0] :
        ( greater(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ greater(vd518,X0) )
    | ~ spl4_46
    | ~ spl4_67 ),
    inference(superposition,[],[f512,f1152]) ).

fof(f36497,plain,
    ( spl4_465
    | ~ spl4_44
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1160,f1150,f503,f36495]) ).

fof(f1160,plain,
    ( ! [X0] :
        ( less(vmul(X0,vd520),vmul(vd517,vd519))
        | ~ less(X0,vd518) )
    | ~ spl4_44
    | ~ spl4_67 ),
    inference(superposition,[],[f504,f1152]) ).

fof(f36306,plain,
    ( spl4_464
    | ~ spl4_199
    | ~ spl4_462 ),
    inference(avatar_split_clause,[],[f36298,f36295,f6139,f36304]) ).

fof(f36304,plain,
    ( spl4_464
  <=> ! [X0] : less(vmul(vd517,vd517),vmul(vd518,vplus(vd520,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_464])]) ).

fof(f36298,plain,
    ( ! [X0] : less(vmul(vd517,vd517),vmul(vd518,vplus(vd520,X0)))
    | ~ spl4_199
    | ~ spl4_462 ),
    inference(forward_demodulation,[],[f36296,f6141]) ).

fof(f36302,plain,
    ( spl4_463
    | ~ spl4_199
    | ~ spl4_461 ),
    inference(avatar_split_clause,[],[f36293,f36290,f6139,f36300]) ).

fof(f36300,plain,
    ( spl4_463
  <=> ! [X0] : greater(vmul(vd518,vplus(vd520,X0)),vmul(vd517,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_463])]) ).

fof(f36293,plain,
    ( ! [X0] : greater(vmul(vd518,vplus(vd520,X0)),vmul(vd517,vd517))
    | ~ spl4_199
    | ~ spl4_461 ),
    inference(forward_demodulation,[],[f36291,f6141]) ).

fof(f36297,plain,
    ( spl4_462
    | ~ spl4_67
    | ~ spl4_132 ),
    inference(avatar_split_clause,[],[f2687,f1991,f1150,f36295]) ).

fof(f2687,plain,
    ( ! [X0] : less(vmul(vd517,vd519),vmul(vd518,vplus(vd520,X0)))
    | ~ spl4_67
    | ~ spl4_132 ),
    inference(superposition,[],[f1992,f1152]) ).

fof(f36292,plain,
    ( spl4_461
    | ~ spl4_67
    | ~ spl4_130 ),
    inference(avatar_split_clause,[],[f2635,f1982,f1150,f36290]) ).

fof(f2635,plain,
    ( ! [X0] : greater(vmul(vd518,vplus(vd520,X0)),vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_130 ),
    inference(superposition,[],[f1983,f1152]) ).

fof(f36286,plain,
    ( spl4_460
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_122 ),
    inference(avatar_split_clause,[],[f2381,f1950,f1150,f381,f377,f36283]) ).

fof(f2381,plain,
    ( less(vmul(vd517,vd519),vmul(vd520,vplus(vd518,v1)))
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_122 ),
    inference(forward_demodulation,[],[f2380,f382]) ).

fof(f2380,plain,
    ( less(vmul(vd517,vd519),vmul(vd520,vplus(v1,vd518)))
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_122 ),
    inference(forward_demodulation,[],[f2364,f378]) ).

fof(f2364,plain,
    ( less(vmul(vd517,vd519),vmul(vplus(v1,vd518),vd520))
    | ~ spl4_67
    | ~ spl4_122 ),
    inference(superposition,[],[f1951,f1152]) ).

fof(f36278,plain,
    ( spl4_459
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_120 ),
    inference(avatar_split_clause,[],[f2329,f1941,f1150,f381,f377,f36275]) ).

fof(f2329,plain,
    ( greater(vmul(vd520,vplus(vd518,v1)),vmul(vd517,vd519))
    | ~ spl4_25
    | ~ spl4_26
    | ~ spl4_67
    | ~ spl4_120 ),
    inference(forward_demodulation,[],[f2328,f382]) ).

fof(f2328,plain,
    ( greater(vmul(vd520,vplus(v1,vd518)),vmul(vd517,vd519))
    | ~ spl4_25
    | ~ spl4_67
    | ~ spl4_120 ),
    inference(forward_demodulation,[],[f2320,f378]) ).

fof(f2320,plain,
    ( greater(vmul(vplus(v1,vd518),vd520),vmul(vd517,vd519))
    | ~ spl4_67
    | ~ spl4_120 ),
    inference(superposition,[],[f1942,f1152]) ).

fof(f36266,plain,
    ( ~ spl4_458
    | ~ spl4_199
    | spl4_456 ),
    inference(avatar_split_clause,[],[f36252,f36248,f6139,f36263]) ).

fof(f36248,plain,
    ( spl4_456
  <=> greater(vmul(vd517,vd519),vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_456])]) ).

fof(f36252,plain,
    ( ~ greater(vmul(vd517,vd517),vd518)
    | ~ spl4_199
    | spl4_456 ),
    inference(forward_demodulation,[],[f36250,f6141]) ).

fof(f36250,plain,
    ( ~ greater(vmul(vd517,vd519),vd518)
    | spl4_456 ),
    inference(avatar_component_clause,[],[f36248]) ).

fof(f36258,plain,
    ( ~ spl4_457
    | ~ spl4_451
    | spl4_455 ),
    inference(avatar_split_clause,[],[f36253,f36244,f36213,f36255]) ).

fof(f36244,plain,
    ( spl4_455
  <=> greater(v1,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_455])]) ).

fof(f36253,plain,
    ( ~ greater(vd518,vd520)
    | ~ spl4_451
    | spl4_455 ),
    inference(forward_demodulation,[],[f36246,f36215]) ).

fof(f36246,plain,
    ( ~ greater(v1,vd520)
    | spl4_455 ),
    inference(avatar_component_clause,[],[f36244]) ).

fof(f36251,plain,
    ( ~ spl4_455
    | ~ spl4_456
    | spl4_1
    | ~ spl4_183 ),
    inference(avatar_split_clause,[],[f5982,f3898,f264,f36248,f36244]) ).

fof(f3898,plain,
    ( spl4_183
  <=> ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(X0,X1)
        | ~ greater(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_183])]) ).

fof(f5982,plain,
    ( ~ greater(vmul(vd517,vd519),vd518)
    | ~ greater(v1,vd520)
    | spl4_1
    | ~ spl4_183 ),
    inference(resolution,[],[f3899,f266]) ).

fof(f3899,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(X0,X1)
        | ~ greater(v1,X2) )
    | ~ spl4_183 ),
    inference(avatar_component_clause,[],[f3898]) ).

fof(f36242,plain,
    ( ~ spl4_453
    | ~ spl4_448
    | spl4_1
    | ~ spl4_182 ),
    inference(avatar_split_clause,[],[f5958,f3894,f264,f36190,f36222]) ).

fof(f36222,plain,
    ( spl4_453
  <=> greater(vmul(vd517,vd519),vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_453])]) ).

fof(f3894,plain,
    ( spl4_182
  <=> ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_182])]) ).

fof(f5958,plain,
    ( ~ greater(v1,vd518)
    | ~ greater(vmul(vd517,vd519),vd520)
    | spl4_1
    | ~ spl4_182 ),
    inference(resolution,[],[f3895,f266]) ).

fof(f3895,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(X0,X2) )
    | ~ spl4_182 ),
    inference(avatar_component_clause,[],[f3894]) ).

fof(f36241,plain,
    ( spl4_452
    | ~ spl4_453
    | ~ spl4_67
    | ~ spl4_110 ),
    inference(avatar_split_clause,[],[f1909,f1724,f1150,f36222,f36218]) ).

fof(f1909,plain,
    ( ~ greater(vmul(vd517,vd519),vd520)
    | greater(vd518,v1)
    | ~ spl4_67
    | ~ spl4_110 ),
    inference(superposition,[],[f1725,f1152]) ).

fof(f36240,plain,
    ( spl4_448
    | ~ spl4_449
    | ~ spl4_67
    | ~ spl4_109 ),
    inference(avatar_split_clause,[],[f1890,f1720,f1150,f36194,f36190]) ).

fof(f36194,plain,
    ( spl4_449
  <=> greater(vd520,vmul(vd517,vd519)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_449])]) ).

fof(f1890,plain,
    ( ~ greater(vd520,vmul(vd517,vd519))
    | greater(v1,vd518)
    | ~ spl4_67
    | ~ spl4_109 ),
    inference(superposition,[],[f1721,f1152]) ).

fof(f36239,plain,
    ( spl4_445
    | ~ spl4_446
    | ~ spl4_67
    | ~ spl4_108 ),
    inference(avatar_split_clause,[],[f1881,f1716,f1150,f36172,f36168]) ).

fof(f36172,plain,
    ( spl4_446
  <=> less(vmul(vd517,vd519),vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_446])]) ).

fof(f1881,plain,
    ( ~ less(vmul(vd517,vd519),vd520)
    | less(vd518,v1)
    | ~ spl4_67
    | ~ spl4_108 ),
    inference(superposition,[],[f1717,f1152]) ).

fof(f36238,plain,
    ( spl4_442
    | ~ spl4_443
    | ~ spl4_67
    | ~ spl4_107 ),
    inference(avatar_split_clause,[],[f1872,f1712,f1150,f36144,f36140]) ).

fof(f1872,plain,
    ( ~ less(vd520,vmul(vd517,vd519))
    | less(v1,vd518)
    | ~ spl4_67
    | ~ spl4_107 ),
    inference(superposition,[],[f1713,f1152]) ).

fof(f36232,plain,
    ( ~ spl4_454
    | ~ spl4_199
    | spl4_453 ),
    inference(avatar_split_clause,[],[f36226,f36222,f6139,f36229]) ).

fof(f36226,plain,
    ( ~ greater(vmul(vd517,vd517),vd520)
    | ~ spl4_199
    | spl4_453 ),
    inference(forward_demodulation,[],[f36223,f6141]) ).

fof(f36223,plain,
    ( ~ greater(vmul(vd517,vd519),vd520)
    | spl4_453 ),
    inference(avatar_component_clause,[],[f36222]) ).

fof(f36225,plain,
    ( ~ spl4_452
    | spl4_453
    | ~ spl4_67
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f1851,f1695,f1150,f36222,f36218]) ).

fof(f1851,plain,
    ( greater(vmul(vd517,vd519),vd520)
    | ~ greater(vd518,v1)
    | ~ spl4_67
    | ~ spl4_103 ),
    inference(superposition,[],[f1696,f1152]) ).

fof(f36216,plain,
    ( spl4_451
    | ~ spl4_76
    | spl4_442 ),
    inference(avatar_split_clause,[],[f36149,f36140,f1291,f36213]) ).

fof(f36149,plain,
    ( vd518 = v1
    | ~ spl4_76
    | spl4_442 ),
    inference(resolution,[],[f36142,f1292]) ).

fof(f36142,plain,
    ( ~ less(v1,vd518)
    | spl4_442 ),
    inference(avatar_component_clause,[],[f36140]) ).

fof(f36204,plain,
    ( ~ spl4_450
    | ~ spl4_199
    | spl4_449 ),
    inference(avatar_split_clause,[],[f36198,f36194,f6139,f36201]) ).

fof(f36201,plain,
    ( spl4_450
  <=> greater(vd520,vmul(vd517,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_450])]) ).

fof(f36198,plain,
    ( ~ greater(vd520,vmul(vd517,vd517))
    | ~ spl4_199
    | spl4_449 ),
    inference(forward_demodulation,[],[f36195,f6141]) ).

fof(f36195,plain,
    ( ~ greater(vd520,vmul(vd517,vd519))
    | spl4_449 ),
    inference(avatar_component_clause,[],[f36194]) ).

fof(f36197,plain,
    ( ~ spl4_448
    | spl4_449
    | ~ spl4_67
    | ~ spl4_102 ),
    inference(avatar_split_clause,[],[f1842,f1691,f1150,f36194,f36190]) ).

fof(f1691,plain,
    ( spl4_102
  <=> ! [X0,X1] :
        ( greater(X0,vmul(X1,X0))
        | ~ greater(v1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_102])]) ).

fof(f1842,plain,
    ( greater(vd520,vmul(vd517,vd519))
    | ~ greater(v1,vd518)
    | ~ spl4_67
    | ~ spl4_102 ),
    inference(superposition,[],[f1692,f1152]) ).

fof(f1692,plain,
    ( ! [X0,X1] :
        ( greater(X0,vmul(X1,X0))
        | ~ greater(v1,X1) )
    | ~ spl4_102 ),
    inference(avatar_component_clause,[],[f1691]) ).

fof(f36182,plain,
    ( ~ spl4_447
    | ~ spl4_199
    | spl4_446 ),
    inference(avatar_split_clause,[],[f36176,f36172,f6139,f36179]) ).

fof(f36179,plain,
    ( spl4_447
  <=> less(vmul(vd517,vd517),vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_447])]) ).

fof(f36176,plain,
    ( ~ less(vmul(vd517,vd517),vd520)
    | ~ spl4_199
    | spl4_446 ),
    inference(forward_demodulation,[],[f36173,f6141]) ).

fof(f36173,plain,
    ( ~ less(vmul(vd517,vd519),vd520)
    | spl4_446 ),
    inference(avatar_component_clause,[],[f36172]) ).

fof(f36175,plain,
    ( ~ spl4_445
    | spl4_446
    | ~ spl4_67
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1819,f1683,f1150,f36172,f36168]) ).

fof(f1819,plain,
    ( less(vmul(vd517,vd519),vd520)
    | ~ less(vd518,v1)
    | ~ spl4_67
    | ~ spl4_100 ),
    inference(superposition,[],[f1684,f1152]) ).

fof(f36160,plain,
    ( ~ spl4_444
    | ~ spl4_199
    | spl4_443 ),
    inference(avatar_split_clause,[],[f36148,f36144,f6139,f36157]) ).

fof(f36157,plain,
    ( spl4_444
  <=> less(vd520,vmul(vd517,vd517)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_444])]) ).

fof(f36148,plain,
    ( ~ less(vd520,vmul(vd517,vd517))
    | ~ spl4_199
    | spl4_443 ),
    inference(forward_demodulation,[],[f36145,f6141]) ).

fof(f36147,plain,
    ( ~ spl4_442
    | spl4_443
    | ~ spl4_67
    | ~ spl4_99 ),
    inference(avatar_split_clause,[],[f1806,f1679,f1150,f36144,f36140]) ).

fof(f1806,plain,
    ( less(vd520,vmul(vd517,vd519))
    | ~ less(v1,vd518)
    | ~ spl4_67
    | ~ spl4_99 ),
    inference(superposition,[],[f1680,f1152]) ).

fof(f33868,plain,
    ( spl4_441
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1065,f1061,f679,f33866]) ).

fof(f33866,plain,
    ( spl4_441
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK0(vplus(X0,X1),X2))) = X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_441])]) ).

fof(f1061,plain,
    ( spl4_65
  <=> ! [X0,X1] :
        ( vplus(X0,sK0(X0,X1)) = X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

fof(f1065,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK0(vplus(X0,X1),X2))) = X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 )
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(superposition,[],[f1062,f680]) ).

fof(f1062,plain,
    ( ! [X0,X1] :
        ( vplus(X1,sK1(X0,X1)) = X0
        | vplus(X0,sK0(X0,X1)) = X1
        | X0 = X1 )
    | ~ spl4_65 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f33864,plain,
    ( spl4_440
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1064,f1061,f679,f33862]) ).

fof(f33862,plain,
    ( spl4_440
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK1(X2,vplus(X0,X1)))) = X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_440])]) ).

fof(f1064,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK1(X2,vplus(X0,X1)))) = X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 )
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(superposition,[],[f1062,f680]) ).

fof(f33702,plain,
    ( spl4_439
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1122,f1061,f905,f33700]) ).

fof(f33700,plain,
    ( spl4_439
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ geq(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_439])]) ).

fof(f1122,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ geq(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(superposition,[],[f906,f1062]) ).

fof(f33698,plain,
    ( spl4_438
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1121,f1061,f905,f33696]) ).

fof(f33696,plain,
    ( spl4_438
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_438])]) ).

fof(f1121,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(superposition,[],[f906,f1062]) ).

fof(f33694,plain,
    ( spl4_437
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1120,f1061,f901,f33692]) ).

fof(f33692,plain,
    ( spl4_437
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_437])]) ).

fof(f1120,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(superposition,[],[f902,f1062]) ).

fof(f33690,plain,
    ( spl4_436
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1119,f1061,f901,f33688]) ).

fof(f33688,plain,
    ( spl4_436
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_436])]) ).

fof(f1119,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(superposition,[],[f902,f1062]) ).

fof(f33686,plain,
    ( spl4_435
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1118,f1061,f897,f33684]) ).

fof(f33684,plain,
    ( spl4_435
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_435])]) ).

fof(f897,plain,
    ( spl4_62
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f1118,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(superposition,[],[f898,f1062]) ).

fof(f898,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f33682,plain,
    ( spl4_434
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1117,f1061,f897,f33680]) ).

fof(f33680,plain,
    ( spl4_434
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_434])]) ).

fof(f1117,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(superposition,[],[f898,f1062]) ).

fof(f33678,plain,
    ( spl4_433
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1116,f1061,f889,f33676]) ).

fof(f33676,plain,
    ( spl4_433
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ geq(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_433])]) ).

fof(f889,plain,
    ( spl4_60
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X0,X2),vplus(X1,X3))
        | ~ geq(X0,X1)
        | ~ geq(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f1116,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ geq(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(superposition,[],[f890,f1062]) ).

fof(f890,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X0,X2),vplus(X1,X3))
        | ~ geq(X0,X1)
        | ~ geq(X2,X3) )
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f33674,plain,
    ( spl4_432
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1115,f1061,f889,f33672]) ).

fof(f33672,plain,
    ( spl4_432
  <=> ! [X0,X3,X2,X1] :
        ( geq(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_432])]) ).

fof(f1115,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(superposition,[],[f890,f1062]) ).

fof(f33670,plain,
    ( spl4_431
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1092,f1061,f905,f33668]) ).

fof(f33668,plain,
    ( spl4_431
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ geq(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_431])]) ).

fof(f1092,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ geq(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(superposition,[],[f906,f1062]) ).

fof(f33666,plain,
    ( spl4_430
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1091,f1061,f905,f33664]) ).

fof(f33664,plain,
    ( spl4_430
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_430])]) ).

fof(f1091,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_64
    | ~ spl4_65 ),
    inference(superposition,[],[f906,f1062]) ).

fof(f33662,plain,
    ( spl4_429
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1090,f1061,f901,f33660]) ).

fof(f33660,plain,
    ( spl4_429
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_429])]) ).

fof(f1090,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(superposition,[],[f902,f1062]) ).

fof(f33658,plain,
    ( spl4_428
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1089,f1061,f901,f33656]) ).

fof(f33656,plain,
    ( spl4_428
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_428])]) ).

fof(f1089,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_63
    | ~ spl4_65 ),
    inference(superposition,[],[f902,f1062]) ).

fof(f33654,plain,
    ( spl4_427
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1088,f1061,f897,f33652]) ).

fof(f33652,plain,
    ( spl4_427
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_427])]) ).

fof(f1088,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(superposition,[],[f898,f1062]) ).

fof(f33650,plain,
    ( spl4_426
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1087,f1061,f897,f33648]) ).

fof(f33648,plain,
    ( spl4_426
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_426])]) ).

fof(f1087,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_62
    | ~ spl4_65 ),
    inference(superposition,[],[f898,f1062]) ).

fof(f33646,plain,
    ( spl4_425
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1086,f1061,f889,f33644]) ).

fof(f33644,plain,
    ( spl4_425
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ geq(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_425])]) ).

fof(f1086,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),X1)
        | ~ geq(X2,X0)
        | ~ geq(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(superposition,[],[f890,f1062]) ).

fof(f33642,plain,
    ( spl4_424
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1085,f1061,f889,f33640]) ).

fof(f33640,plain,
    ( spl4_424
  <=> ! [X0,X3,X2,X1] :
        ( geq(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_424])]) ).

fof(f1085,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(X1,vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_60
    | ~ spl4_65 ),
    inference(superposition,[],[f890,f1062]) ).

fof(f31884,plain,
    ( spl4_423
    | ~ spl4_22
    | ~ spl4_372 ),
    inference(avatar_split_clause,[],[f26746,f23593,f352,f31881]) ).

fof(f31881,plain,
    ( spl4_423
  <=> leq(vd517,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_423])]) ).

fof(f23593,plain,
    ( spl4_372
  <=> less(vd517,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_372])]) ).

fof(f26746,plain,
    ( leq(vd517,vd520)
    | ~ spl4_22
    | ~ spl4_372 ),
    inference(resolution,[],[f23595,f353]) ).

fof(f23595,plain,
    ( less(vd517,vd520)
    | ~ spl4_372 ),
    inference(avatar_component_clause,[],[f23593]) ).

fof(f27935,plain,
    ( spl4_422
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1125,f1061,f687,f27933]) ).

fof(f27933,plain,
    ( spl4_422
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK0(v1,X0)))
        | v1 = vplus(X0,sK1(v1,X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_422])]) ).

fof(f1125,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK0(v1,X0)))
        | v1 = vplus(X0,sK1(v1,X0))
        | v1 = X0 )
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(superposition,[],[f688,f1062]) ).

fof(f27931,plain,
    ( spl4_421
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1114,f1061,f687,f27929]) ).

fof(f27929,plain,
    ( spl4_421
  <=> ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK0(X0,X1)))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_421])]) ).

fof(f1114,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK0(X0,X1)))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(superposition,[],[f688,f1062]) ).

fof(f27927,plain,
    ( spl4_420
    | ~ spl4_20
    | ~ spl4_372 ),
    inference(avatar_split_clause,[],[f26745,f23593,f344,f27924]) ).

fof(f27924,plain,
    ( spl4_420
  <=> greater(vd520,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_420])]) ).

fof(f26745,plain,
    ( greater(vd520,vd517)
    | ~ spl4_20
    | ~ spl4_372 ),
    inference(resolution,[],[f23595,f345]) ).

fof(f27922,plain,
    ( spl4_419
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1113,f1061,f679,f27920]) ).

fof(f27920,plain,
    ( spl4_419
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK0(X0,X1),X2))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_419])]) ).

fof(f1113,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK0(X0,X1),X2))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(superposition,[],[f680,f1062]) ).

fof(f27918,plain,
    ( spl4_418
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1095,f1061,f687,f27916]) ).

fof(f27916,plain,
    ( spl4_418
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(X0,v1)))
        | v1 = vplus(X0,sK0(X0,v1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_418])]) ).

fof(f1095,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(X0,v1)))
        | v1 = vplus(X0,sK0(X0,v1))
        | v1 = X0 )
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(superposition,[],[f688,f1062]) ).

fof(f27914,plain,
    ( spl4_417
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1084,f1061,f687,f27912]) ).

fof(f27912,plain,
    ( spl4_417
  <=> ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X1,X0)))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_417])]) ).

fof(f1084,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X1,X0)))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_57
    | ~ spl4_65 ),
    inference(superposition,[],[f688,f1062]) ).

fof(f27910,plain,
    ( spl4_416
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1083,f1061,f679,f27908]) ).

fof(f27908,plain,
    ( spl4_416
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK1(X1,X0),X2))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_416])]) ).

fof(f1083,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK1(X1,X0),X2))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_55
    | ~ spl4_65 ),
    inference(superposition,[],[f680,f1062]) ).

fof(f27906,plain,
    ( spl4_415
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1059,f905,f679,f499,f27904]) ).

fof(f27904,plain,
    ( spl4_415
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ geq(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_415])]) ).

fof(f1059,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ geq(X2,X3) )
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f1038,f680]) ).

fof(f1038,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X3)
        | vplus(X0,X2) = vplus(vplus(X1,X3),sK3(vplus(X1,X3),vplus(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_64 ),
    inference(resolution,[],[f906,f500]) ).

fof(f27902,plain,
    ( spl4_414
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1035,f901,f679,f499,f27900]) ).

fof(f27900,plain,
    ( spl4_414
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ geq(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_414])]) ).

fof(f1035,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ geq(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f1014,f680]) ).

fof(f1014,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X3)
        | vplus(X0,X2) = vplus(vplus(X1,X3),sK3(vplus(X1,X3),vplus(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_63 ),
    inference(resolution,[],[f902,f500]) ).

fof(f27898,plain,
    ( spl4_413
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1011,f897,f679,f499,f27896]) ).

fof(f27896,plain,
    ( spl4_413
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_413])]) ).

fof(f1011,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f990,f680]) ).

fof(f990,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | vplus(X0,X2) = vplus(vplus(X1,X3),sK3(vplus(X1,X3),vplus(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_62 ),
    inference(resolution,[],[f898,f500]) ).

fof(f27894,plain,
    ( spl4_412
    | ~ spl4_43
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f975,f893,f499,f27892]) ).

fof(f27892,plain,
    ( spl4_412
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | vmul(X0,X2) = vplus(vmul(X1,X3),sK3(vmul(X1,X3),vmul(X0,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_412])]) ).

fof(f975,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | vmul(X0,X2) = vplus(vmul(X1,X3),sK3(vmul(X1,X3),vmul(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_61 ),
    inference(resolution,[],[f894,f500]) ).

fof(f27706,plain,
    ( ~ spl4_411
    | ~ spl4_17
    | ~ spl4_372 ),
    inference(avatar_split_clause,[],[f26744,f23593,f332,f27703]) ).

fof(f26744,plain,
    ( ~ greater(vd517,vd520)
    | ~ spl4_17
    | ~ spl4_372 ),
    inference(resolution,[],[f23595,f333]) ).

fof(f27237,plain,
    ( spl4_165
    | ~ spl4_21
    | ~ spl4_164
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f25333,f6139,f2930,f348,f3269]) ).

fof(f2930,plain,
    ( spl4_164
  <=> greater(vd518,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_164])]) ).

fof(f25333,plain,
    ( less(vd517,vd518)
    | ~ spl4_21
    | ~ spl4_164
    | ~ spl4_199 ),
    inference(forward_demodulation,[],[f4253,f6141]) ).

fof(f4253,plain,
    ( less(vd519,vd518)
    | ~ spl4_21
    | ~ spl4_164 ),
    inference(resolution,[],[f2932,f349]) ).

fof(f2932,plain,
    ( greater(vd518,vd519)
    | ~ spl4_164 ),
    inference(avatar_component_clause,[],[f2930]) ).

fof(f26846,plain,
    ( spl4_410
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1112,f1061,f544,f26844]) ).

fof(f26844,plain,
    ( spl4_410
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK0(X0,X1)),X1)
        | greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_410])]) ).

fof(f1112,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK0(X0,X1)),X1)
        | greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(superposition,[],[f545,f1062]) ).

fof(f26842,plain,
    ( spl4_409
    | ~ spl4_164
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6437,f6139,f2930,f26839]) ).

fof(f6437,plain,
    ( greater(vd518,vd517)
    | ~ spl4_164
    | ~ spl4_199 ),
    inference(superposition,[],[f2932,f6141]) ).

fof(f26837,plain,
    ( spl4_408
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1111,f1061,f544,f26835]) ).

fof(f26835,plain,
    ( spl4_408
  <=> ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK0(X0,X1)))
        | greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_408])]) ).

fof(f1111,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK0(X0,X1)))
        | greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(superposition,[],[f545,f1062]) ).

fof(f26833,plain,
    ( spl4_407
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1110,f1061,f536,f26831]) ).

fof(f26831,plain,
    ( spl4_407
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK0(X0,X1)),X1)
        | less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_407])]) ).

fof(f1110,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK0(X0,X1)),X1)
        | less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(superposition,[],[f537,f1062]) ).

fof(f26829,plain,
    ( spl4_406
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1109,f1061,f536,f26827]) ).

fof(f26827,plain,
    ( spl4_406
  <=> ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK0(X0,X1)))
        | less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_406])]) ).

fof(f1109,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK0(X0,X1)))
        | less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(superposition,[],[f537,f1062]) ).

fof(f26825,plain,
    ( spl4_405
    | ~ spl4_49
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1107,f1061,f523,f26823]) ).

fof(f26823,plain,
    ( spl4_405
  <=> ! [X2,X0,X1] :
        ( vplus(X2,sK0(X0,X1)) != X1
        | X0 = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_405])]) ).

fof(f1107,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,sK0(X0,X1)) != X1
        | X0 = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_49
    | ~ spl4_65 ),
    inference(superposition,[],[f524,f1062]) ).

fof(f26821,plain,
    ( spl4_404
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1106,f1061,f515,f26819]) ).

fof(f26819,plain,
    ( spl4_404
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,sK0(X0,X1)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_404])]) ).

fof(f1106,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,sK0(X0,X1)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(superposition,[],[f516,f1062]) ).

fof(f26817,plain,
    ( spl4_403
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1105,f1061,f515,f26815]) ).

fof(f26815,plain,
    ( spl4_403
  <=> ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK0(X0,X1)))
        | ~ greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_403])]) ).

fof(f1105,plain,
    ( ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK0(X0,X1)))
        | ~ greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(superposition,[],[f516,f1062]) ).

fof(f26813,plain,
    ( spl4_402
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1104,f1061,f507,f26811]) ).

fof(f26811,plain,
    ( spl4_402
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,sK0(X0,X1)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_402])]) ).

fof(f1104,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,sK0(X0,X1)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(superposition,[],[f508,f1062]) ).

fof(f26809,plain,
    ( spl4_401
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1103,f1061,f507,f26807]) ).

fof(f26807,plain,
    ( spl4_401
  <=> ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK0(X0,X1)))
        | ~ less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_401])]) ).

fof(f1103,plain,
    ( ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK0(X0,X1)))
        | ~ less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(superposition,[],[f508,f1062]) ).

fof(f26805,plain,
    ( spl4_400
    | ~ spl4_40
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1101,f1061,f483,f26803]) ).

fof(f26803,plain,
    ( spl4_400
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK0(X0,X1) = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_400])]) ).

fof(f1101,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK0(X0,X1) = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_65 ),
    inference(superposition,[],[f484,f1062]) ).

fof(f26801,plain,
    ( spl4_399
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1082,f1061,f544,f26799]) ).

fof(f26799,plain,
    ( spl4_399
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK1(X1,X0)),X1)
        | greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_399])]) ).

fof(f1082,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK1(X1,X0)),X1)
        | greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(superposition,[],[f545,f1062]) ).

fof(f26795,plain,
    ( spl4_398
    | ~ spl4_156
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6436,f6139,f2813,f26792]) ).

fof(f2813,plain,
    ( spl4_156
  <=> leq(vd519,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_156])]) ).

fof(f6436,plain,
    ( leq(vd517,vd518)
    | ~ spl4_156
    | ~ spl4_199 ),
    inference(superposition,[],[f2815,f6141]) ).

fof(f2815,plain,
    ( leq(vd519,vd518)
    | ~ spl4_156 ),
    inference(avatar_component_clause,[],[f2813]) ).

fof(f26790,plain,
    ( spl4_397
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1081,f1061,f544,f26788]) ).

fof(f26788,plain,
    ( spl4_397
  <=> ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK1(X1,X0)))
        | greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_397])]) ).

fof(f1081,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK1(X1,X0)))
        | greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_53
    | ~ spl4_65 ),
    inference(superposition,[],[f545,f1062]) ).

fof(f26786,plain,
    ( spl4_396
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1080,f1061,f536,f26784]) ).

fof(f26784,plain,
    ( spl4_396
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK1(X1,X0)),X1)
        | less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_396])]) ).

fof(f1080,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK1(X1,X0)),X1)
        | less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(superposition,[],[f537,f1062]) ).

fof(f26782,plain,
    ( spl4_395
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1079,f1061,f536,f26780]) ).

fof(f26780,plain,
    ( spl4_395
  <=> ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK1(X1,X0)))
        | less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_395])]) ).

fof(f1079,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK1(X1,X0)))
        | less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_51
    | ~ spl4_65 ),
    inference(superposition,[],[f537,f1062]) ).

fof(f26778,plain,
    ( spl4_394
    | ~ spl4_49
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1077,f1061,f523,f26776]) ).

fof(f26776,plain,
    ( spl4_394
  <=> ! [X2,X0,X1] :
        ( vplus(X2,sK1(X1,X0)) != X1
        | X0 = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_394])]) ).

fof(f1077,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,sK1(X1,X0)) != X1
        | X0 = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_49
    | ~ spl4_65 ),
    inference(superposition,[],[f524,f1062]) ).

fof(f26774,plain,
    ( spl4_393
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1076,f1061,f515,f26772]) ).

fof(f26772,plain,
    ( spl4_393
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,sK1(X1,X0)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_393])]) ).

fof(f1076,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,sK1(X1,X0)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(superposition,[],[f516,f1062]) ).

fof(f26770,plain,
    ( spl4_392
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1075,f1061,f515,f26768]) ).

fof(f26768,plain,
    ( spl4_392
  <=> ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK1(X1,X0)))
        | ~ greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_392])]) ).

fof(f1075,plain,
    ( ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK1(X1,X0)))
        | ~ greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_47
    | ~ spl4_65 ),
    inference(superposition,[],[f516,f1062]) ).

fof(f26766,plain,
    ( spl4_391
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1074,f1061,f507,f26764]) ).

fof(f26764,plain,
    ( spl4_391
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,sK1(X1,X0)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_391])]) ).

fof(f1074,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,sK1(X1,X0)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(superposition,[],[f508,f1062]) ).

fof(f26762,plain,
    ( spl4_390
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1073,f1061,f507,f26760]) ).

fof(f26760,plain,
    ( spl4_390
  <=> ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK1(X1,X0)))
        | ~ less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_390])]) ).

fof(f1073,plain,
    ( ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK1(X1,X0)))
        | ~ less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_45
    | ~ spl4_65 ),
    inference(superposition,[],[f508,f1062]) ).

fof(f26758,plain,
    ( spl4_389
    | ~ spl4_40
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1071,f1061,f483,f26756]) ).

fof(f26756,plain,
    ( spl4_389
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK1(X1,X0) = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_389])]) ).

fof(f1071,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK1(X1,X0) = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_65 ),
    inference(superposition,[],[f484,f1062]) ).

fof(f26754,plain,
    ( spl4_388
    | ~ spl4_33
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f952,f889,f436,f26752]) ).

fof(f26752,plain,
    ( spl4_388
  <=> ! [X0,X3,X2,X1] :
        ( ~ geq(X0,X1)
        | ~ geq(X2,X3)
        | greater(vplus(X0,X2),vplus(X1,X3))
        | vplus(X0,X2) = vplus(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_388])]) ).

fof(f952,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ geq(X2,X3)
        | greater(vplus(X0,X2),vplus(X1,X3))
        | vplus(X0,X2) = vplus(X1,X3) )
    | ~ spl4_33
    | ~ spl4_60 ),
    inference(resolution,[],[f890,f437]) ).

fof(f25371,plain,
    ( spl4_387
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1124,f1061,f385,f25369]) ).

fof(f25369,plain,
    ( spl4_387
  <=> ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_387])]) ).

fof(f1124,plain,
    ( ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 )
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(superposition,[],[f386,f1062]) ).

fof(f25367,plain,
    ( spl4_386
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1094,f1061,f385,f25365]) ).

fof(f25365,plain,
    ( spl4_386
  <=> ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_386])]) ).

fof(f1094,plain,
    ( ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 )
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(superposition,[],[f386,f1062]) ).

fof(f25363,plain,
    ( spl4_385
    | ~ spl4_59
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1055,f905,f885,f25361]) ).

fof(f25361,plain,
    ( spl4_385
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ geq(X4,vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_385])]) ).

fof(f1055,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ geq(X4,vmul(X0,X2)) )
    | ~ spl4_59
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f886]) ).

fof(f25359,plain,
    ( spl4_384
    | ~ spl4_59
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1046,f905,f885,f25357]) ).

fof(f25357,plain,
    ( spl4_384
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ geq(vmul(X0,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_384])]) ).

fof(f1046,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ geq(vmul(X0,X2),X4) )
    | ~ spl4_59
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f886]) ).

fof(f25355,plain,
    ( spl4_383
    | ~ spl4_59
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1031,f901,f885,f25353]) ).

fof(f25353,plain,
    ( spl4_383
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ geq(X3,vmul(X0,X1))
        | ~ greater(X4,vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_383])]) ).

fof(f1031,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ geq(X3,vmul(X0,X1))
        | ~ greater(X4,vmul(X0,X2)) )
    | ~ spl4_59
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f886]) ).

fof(f25351,plain,
    ( spl4_382
    | ~ spl4_59
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1022,f901,f885,f25349]) ).

fof(f25349,plain,
    ( spl4_382
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vmul(X0,X1),X3)
        | ~ greater(vmul(X0,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_382])]) ).

fof(f1022,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vmul(X0,X1),X3)
        | ~ greater(vmul(X0,X2),X4) )
    | ~ spl4_59
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f886]) ).

fof(f25347,plain,
    ( spl4_381
    | ~ spl4_59
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1007,f897,f885,f25345]) ).

fof(f25345,plain,
    ( spl4_381
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ greater(X4,vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_381])]) ).

fof(f1007,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ greater(X4,vmul(X0,X2)) )
    | ~ spl4_59
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f886]) ).

fof(f25343,plain,
    ( spl4_380
    | ~ spl4_59
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f998,f897,f885,f25341]) ).

fof(f25341,plain,
    ( spl4_380
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ greater(vmul(X0,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_380])]) ).

fof(f998,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ greater(vmul(X0,X2),X4) )
    | ~ spl4_59
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f886]) ).

fof(f25339,plain,
    ( spl4_379
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f968,f889,f885,f25337]) ).

fof(f25337,plain,
    ( spl4_379
  <=> ! [X4,X0,X3,X2,X1] :
        ( geq(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ geq(X3,vmul(X0,X1))
        | ~ geq(X4,vmul(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_379])]) ).

fof(f968,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( geq(vplus(X3,X4),vmul(X0,vplus(X1,X2)))
        | ~ geq(X3,vmul(X0,X1))
        | ~ geq(X4,vmul(X0,X2)) )
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f886]) ).

fof(f25332,plain,
    ( spl4_165
    | ~ spl4_134
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6435,f6139,f2350,f3269]) ).

fof(f2350,plain,
    ( spl4_134
  <=> less(vd519,vd518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_134])]) ).

fof(f6435,plain,
    ( less(vd517,vd518)
    | ~ spl4_134
    | ~ spl4_199 ),
    inference(superposition,[],[f2352,f6141]) ).

fof(f2352,plain,
    ( less(vd519,vd518)
    | ~ spl4_134 ),
    inference(avatar_component_clause,[],[f2350]) ).

fof(f25331,plain,
    ( spl4_378
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f959,f889,f885,f25329]) ).

fof(f25329,plain,
    ( spl4_378
  <=> ! [X4,X0,X3,X2,X1] :
        ( geq(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vmul(X0,X1),X3)
        | ~ geq(vmul(X0,X2),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_378])]) ).

fof(f959,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( geq(vmul(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vmul(X0,X1),X3)
        | ~ geq(vmul(X0,X2),X4) )
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f886]) ).

fof(f25327,plain,
    ( spl4_377
    | ~ spl4_54
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f944,f885,f675,f25325]) ).

fof(f944,plain,
    ( ! [X2,X3,X0,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,vmul(X1,X3))) = vmul(X0,vmul(X1,vplus(X2,X3)))
    | ~ spl4_54
    | ~ spl4_59 ),
    inference(forward_demodulation,[],[f943,f676]) ).

fof(f943,plain,
    ( ! [X2,X3,X0,X1] : vmul(vmul(X0,X1),vplus(X2,X3)) = vplus(vmul(X0,vmul(X1,X2)),vmul(X0,vmul(X1,X3)))
    | ~ spl4_54
    | ~ spl4_59 ),
    inference(forward_demodulation,[],[f912,f676]) ).

fof(f912,plain,
    ( ! [X2,X3,X0,X1] : vmul(vmul(X0,X1),vplus(X2,X3)) = vplus(vmul(X0,vmul(X1,X2)),vmul(vmul(X0,X1),X3))
    | ~ spl4_54
    | ~ spl4_59 ),
    inference(superposition,[],[f886,f676]) ).

fof(f24698,plain,
    ( spl4_376
    | ~ spl4_43
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f612,f515,f499,f24696]) ).

fof(f24696,plain,
    ( spl4_376
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_376])]) ).

fof(f612,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
        | ~ greater(X0,X1) )
    | ~ spl4_43
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f603,f219]) ).

fof(f219,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X101,X102,X103] : vplus(vplus(X101,X102),X103) = vplus(X101,vplus(X102,X103)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f603,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | vplus(X0,X2) = vplus(vplus(X1,X2),sK3(vplus(X1,X2),vplus(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_47 ),
    inference(resolution,[],[f516,f500]) ).

fof(f24694,plain,
    ( spl4_375
    | ~ spl4_43
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f589,f511,f499,f24692]) ).

fof(f24692,plain,
    ( spl4_375
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | vmul(X0,X2) = vplus(vmul(X1,X2),sK3(vmul(X1,X2),vmul(X0,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_375])]) ).

fof(f589,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | vmul(X0,X2) = vplus(vmul(X1,X2),sK3(vmul(X1,X2),vmul(X0,X2))) )
    | ~ spl4_43
    | ~ spl4_46 ),
    inference(resolution,[],[f512,f500]) ).

fof(f24690,plain,
    ( spl4_374
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f587,f507,f487,f24688]) ).

fof(f587,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2))))
        | ~ less(X0,X1) )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f576,f219]) ).

fof(f576,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vplus(X1,X2) = vplus(vplus(X0,X2),sK2(vplus(X1,X2),vplus(X0,X2))) )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f488]) ).

fof(f24686,plain,
    ( spl4_373
    | ~ spl4_41
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f559,f503,f487,f24684]) ).

fof(f559,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vmul(X1,X2) = vplus(vmul(X0,X2),sK2(vmul(X1,X2),vmul(X0,X2))) )
    | ~ spl4_41
    | ~ spl4_44 ),
    inference(resolution,[],[f504,f488]) ).

fof(f24679,plain,
    ( ~ spl4_15
    | spl4_111
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6433,f6139,f1893,f322]) ).

fof(f6433,plain,
    ( ~ greater(vd517,vd518)
    | spl4_111
    | ~ spl4_199 ),
    inference(superposition,[],[f1895,f6141]) ).

fof(f1895,plain,
    ( ~ greater(vd519,vd518)
    | spl4_111 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f23596,plain,
    ( spl4_372
    | ~ spl4_78
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6429,f6139,f1299,f23593]) ).

fof(f6429,plain,
    ( less(vd517,vd520)
    | ~ spl4_78
    | ~ spl4_199 ),
    inference(superposition,[],[f1301,f6141]) ).

fof(f22504,plain,
    ( spl4_371
    | ~ spl4_39
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6427,f6139,f460,f22501]) ).

fof(f6427,plain,
    ( less(vd520,vd517)
    | ~ spl4_39
    | ~ spl4_199 ),
    inference(superposition,[],[f462,f6141]) ).

fof(f19384,plain,
    ( spl4_370
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1058,f905,f687,f19382]) ).

fof(f19382,plain,
    ( spl4_370
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ geq(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_370])]) ).

fof(f1058,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ geq(X3,vplus(X0,X1)) )
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f688]) ).

fof(f19380,plain,
    ( spl4_369
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1056,f905,f679,f19378]) ).

fof(f19378,plain,
    ( spl4_369
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ geq(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_369])]) ).

fof(f1056,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ geq(X4,X2) )
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f680]) ).

fof(f19376,plain,
    ( spl4_368
    | ~ spl4_58
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1054,f905,f696,f19374]) ).

fof(f19374,plain,
    ( spl4_368
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1))
        | ~ geq(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_368])]) ).

fof(f1054,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1))
        | ~ geq(X3,X0) )
    | ~ spl4_58
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f697]) ).

fof(f19372,plain,
    ( spl4_367
    | ~ spl4_56
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1053,f905,f683,f19370]) ).

fof(f19370,plain,
    ( spl4_367
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1))
        | ~ geq(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_367])]) ).

fof(f1053,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1))
        | ~ geq(X3,X1) )
    | ~ spl4_56
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f684]) ).

fof(f19364,plain,
    ( spl4_366
    | ~ spl4_35
    | ~ spl4_311 ),
    inference(avatar_split_clause,[],[f18282,f17700,f444,f19362]) ).

fof(f19362,plain,
    ( spl4_366
  <=> ! [X0] :
        ( ~ less(X0,vd519)
        | less(X0,vd517) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_366])]) ).

fof(f18282,plain,
    ( ! [X0] :
        ( ~ less(X0,vd519)
        | less(X0,vd517) )
    | ~ spl4_35
    | ~ spl4_311 ),
    inference(resolution,[],[f17702,f445]) ).

fof(f19360,plain,
    ( spl4_365
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1052,f905,f687,f19358]) ).

fof(f19358,plain,
    ( spl4_365
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ geq(X3,vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_365])]) ).

fof(f1052,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ geq(X3,vplus(v1,X1)) )
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f688]) ).

fof(f19356,plain,
    ( spl4_364
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1049,f905,f687,f19354]) ).

fof(f19354,plain,
    ( spl4_364
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ geq(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_364])]) ).

fof(f1049,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ geq(vplus(X0,X1),X3) )
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f688]) ).

fof(f19352,plain,
    ( spl4_363
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1047,f905,f679,f19350]) ).

fof(f1047,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ geq(X2,X4) )
    | ~ spl4_55
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f680]) ).

fof(f19348,plain,
    ( spl4_362
    | ~ spl4_58
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1045,f905,f696,f19346]) ).

fof(f19346,plain,
    ( spl4_362
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ geq(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_362])]) ).

fof(f1045,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ geq(X0,X3) )
    | ~ spl4_58
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f697]) ).

fof(f19344,plain,
    ( spl4_361
    | ~ spl4_56
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1044,f905,f683,f19342]) ).

fof(f19342,plain,
    ( spl4_361
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ geq(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_361])]) ).

fof(f1044,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ geq(X1,X3) )
    | ~ spl4_56
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f684]) ).

fof(f19340,plain,
    ( spl4_360
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1043,f905,f687,f19338]) ).

fof(f1043,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ geq(vplus(v1,X1),X3) )
    | ~ spl4_57
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f688]) ).

fof(f19336,plain,
    ( spl4_359
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1034,f901,f687,f19334]) ).

fof(f19334,plain,
    ( spl4_359
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ geq(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_359])]) ).

fof(f1034,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ geq(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f688]) ).

fof(f19332,plain,
    ( spl4_358
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1032,f901,f679,f19330]) ).

fof(f1032,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ geq(X3,vplus(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f680]) ).

fof(f19328,plain,
    ( spl4_357
    | ~ spl4_58
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1030,f901,f696,f19326]) ).

fof(f19326,plain,
    ( spl4_357
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ geq(X2,vmul(X0,X1))
        | ~ greater(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_357])]) ).

fof(f1030,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ geq(X2,vmul(X0,X1))
        | ~ greater(X3,X0) )
    | ~ spl4_58
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f697]) ).

fof(f19324,plain,
    ( spl4_356
    | ~ spl4_56
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1029,f901,f683,f19322]) ).

fof(f19322,plain,
    ( spl4_356
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ geq(X2,vmul(X0,X1))
        | ~ greater(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_356])]) ).

fof(f1029,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ geq(X2,vmul(X0,X1))
        | ~ greater(X3,X1) )
    | ~ spl4_56
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f684]) ).

fof(f19320,plain,
    ( spl4_355
    | ~ spl4_35
    | ~ spl4_134 ),
    inference(avatar_split_clause,[],[f2768,f2350,f444,f19318]) ).

fof(f19318,plain,
    ( spl4_355
  <=> ! [X0] :
        ( ~ less(X0,vd519)
        | less(X0,vd518) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_355])]) ).

fof(f2768,plain,
    ( ! [X0] :
        ( ~ less(X0,vd519)
        | less(X0,vd518) )
    | ~ spl4_35
    | ~ spl4_134 ),
    inference(resolution,[],[f2352,f445]) ).

fof(f19316,plain,
    ( spl4_354
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1028,f901,f687,f19314]) ).

fof(f19314,plain,
    ( spl4_354
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ geq(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_354])]) ).

fof(f1028,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ geq(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) )
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f688]) ).

fof(f19312,plain,
    ( spl4_353
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1025,f901,f687,f19310]) ).

fof(f1025,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(v1,X2)
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f688]) ).

fof(f19308,plain,
    ( spl4_352
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1023,f901,f679,f19306]) ).

fof(f19306,plain,
    ( spl4_352
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vplus(X0,X1),X3)
        | ~ greater(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_352])]) ).

fof(f1023,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vplus(X0,X1),X3)
        | ~ greater(X2,X4) )
    | ~ spl4_55
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f680]) ).

fof(f19304,plain,
    ( spl4_351
    | ~ spl4_58
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1021,f901,f696,f19302]) ).

fof(f19302,plain,
    ( spl4_351
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ greater(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_351])]) ).

fof(f1021,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ greater(X0,X3) )
    | ~ spl4_58
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f697]) ).

fof(f19300,plain,
    ( spl4_350
    | ~ spl4_56
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1020,f901,f683,f19298]) ).

fof(f19298,plain,
    ( spl4_350
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_350])]) ).

fof(f1020,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ greater(X1,X3) )
    | ~ spl4_56
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f684]) ).

fof(f19296,plain,
    ( spl4_349
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1019,f901,f687,f19294]) ).

fof(f1019,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(vplus(v1,X1),X3) )
    | ~ spl4_57
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f688]) ).

fof(f19292,plain,
    ( spl4_348
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1010,f897,f687,f19290]) ).

fof(f19290,plain,
    ( spl4_348
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_348])]) ).

fof(f1010,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f688]) ).

fof(f19288,plain,
    ( spl4_347
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1008,f897,f679,f19286]) ).

fof(f19286,plain,
    ( spl4_347
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ greater(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_347])]) ).

fof(f1008,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f680]) ).

fof(f19284,plain,
    ( spl4_346
    | ~ spl4_58
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1006,f897,f696,f19282]) ).

fof(f19282,plain,
    ( spl4_346
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1))
        | ~ greater(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_346])]) ).

fof(f1006,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1))
        | ~ greater(X3,X0) )
    | ~ spl4_58
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f697]) ).

fof(f19280,plain,
    ( spl4_345
    | ~ spl4_56
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1005,f897,f683,f19278]) ).

fof(f19278,plain,
    ( spl4_345
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1))
        | ~ greater(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_345])]) ).

fof(f1005,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1))
        | ~ greater(X3,X1) )
    | ~ spl4_56
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f684]) ).

fof(f19271,plain,
    ( spl4_344
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1004,f897,f687,f19269]) ).

fof(f19269,plain,
    ( spl4_344
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_344])]) ).

fof(f1004,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) )
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f688]) ).

fof(f19267,plain,
    ( spl4_343
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1001,f897,f687,f19265]) ).

fof(f19265,plain,
    ( spl4_343
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_343])]) ).

fof(f1001,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f688]) ).

fof(f19263,plain,
    ( spl4_342
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f999,f897,f679,f19261]) ).

fof(f19261,plain,
    ( spl4_342
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ greater(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_342])]) ).

fof(f999,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ greater(X2,X4) )
    | ~ spl4_55
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f680]) ).

fof(f19259,plain,
    ( spl4_341
    | ~ spl4_58
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f997,f897,f696,f19257]) ).

fof(f19257,plain,
    ( spl4_341
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ greater(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_341])]) ).

fof(f997,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ greater(X0,X3) )
    | ~ spl4_58
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f697]) ).

fof(f19255,plain,
    ( spl4_340
    | ~ spl4_56
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f996,f897,f683,f19253]) ).

fof(f19253,plain,
    ( spl4_340
  <=> ! [X0,X3,X2,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_340])]) ).

fof(f996,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ greater(vmul(X0,X1),X2)
        | ~ greater(X1,X3) )
    | ~ spl4_56
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f684]) ).

fof(f19251,plain,
    ( spl4_339
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f995,f897,f687,f19249]) ).

fof(f19249,plain,
    ( spl4_339
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(vplus(v1,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_339])]) ).

fof(f995,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(vplus(v1,X1),X3) )
    | ~ spl4_57
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f688]) ).

fof(f19247,plain,
    ( spl4_338
    | ~ spl4_54
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f987,f893,f675,f19245]) ).

fof(f987,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X3,X4),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_54
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f676]) ).

fof(f19243,plain,
    ( spl4_337
    | ~ spl4_54
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f982,f893,f675,f19241]) ).

fof(f982,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X4))
        | ~ greater(vmul(X0,X1),X3)
        | ~ greater(X2,X4) )
    | ~ spl4_54
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f676]) ).

fof(f19239,plain,
    ( spl4_336
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f971,f889,f687,f19237]) ).

fof(f19237,plain,
    ( spl4_336
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ geq(X2,v1)
        | ~ geq(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_336])]) ).

fof(f971,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ geq(X2,v1)
        | ~ geq(X3,vplus(X0,X1)) )
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f688]) ).

fof(f19235,plain,
    ( spl4_335
    | ~ spl4_55
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f969,f889,f679,f19233]) ).

fof(f19233,plain,
    ( spl4_335
  <=> ! [X4,X0,X3,X2,X1] :
        ( geq(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ geq(X3,vplus(X0,X1))
        | ~ geq(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_335])]) ).

fof(f969,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( geq(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ geq(X3,vplus(X0,X1))
        | ~ geq(X4,X2) )
    | ~ spl4_55
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f680]) ).

fof(f19231,plain,
    ( spl4_334
    | ~ spl4_19
    | ~ spl4_310 ),
    inference(avatar_split_clause,[],[f18035,f13535,f340,f19228]) ).

fof(f19228,plain,
    ( spl4_334
  <=> leq(vd519,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_334])]) ).

fof(f18035,plain,
    ( leq(vd519,vd517)
    | ~ spl4_19
    | ~ spl4_310 ),
    inference(resolution,[],[f13537,f341]) ).

fof(f19226,plain,
    ( spl4_333
    | ~ spl4_58
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f967,f889,f696,f19224]) ).

fof(f19224,plain,
    ( spl4_333
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ geq(X2,vmul(X0,X1))
        | ~ geq(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_333])]) ).

fof(f967,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
        | ~ geq(X2,vmul(X0,X1))
        | ~ geq(X3,X0) )
    | ~ spl4_58
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f697]) ).

fof(f19222,plain,
    ( spl4_332
    | ~ spl4_56
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f966,f889,f683,f19220]) ).

fof(f19220,plain,
    ( spl4_332
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ geq(X2,vmul(X0,X1))
        | ~ geq(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_332])]) ).

fof(f966,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),vmul(vplus(v1,X0),X1))
        | ~ geq(X2,vmul(X0,X1))
        | ~ geq(X3,X1) )
    | ~ spl4_56
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f684]) ).

fof(f19218,plain,
    ( spl4_331
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f965,f889,f687,f19216]) ).

fof(f19216,plain,
    ( spl4_331
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ geq(X2,X0)
        | ~ geq(X3,vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_331])]) ).

fof(f965,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ geq(X2,X0)
        | ~ geq(X3,vplus(v1,X1)) )
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f688]) ).

fof(f19214,plain,
    ( spl4_330
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f962,f889,f687,f19212]) ).

fof(f19212,plain,
    ( spl4_330
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(v1,X2)
        | ~ geq(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_330])]) ).

fof(f962,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(v1,X2)
        | ~ geq(vplus(X0,X1),X3) )
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f688]) ).

fof(f19210,plain,
    ( spl4_329
    | ~ spl4_55
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f960,f889,f679,f19208]) ).

fof(f19208,plain,
    ( spl4_329
  <=> ! [X4,X0,X3,X2,X1] :
        ( geq(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vplus(X0,X1),X3)
        | ~ geq(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_329])]) ).

fof(f960,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( geq(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ geq(vplus(X0,X1),X3)
        | ~ geq(X2,X4) )
    | ~ spl4_55
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f680]) ).

fof(f19206,plain,
    ( spl4_328
    | ~ spl4_58
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f958,f889,f696,f19204]) ).

fof(f19204,plain,
    ( spl4_328
  <=> ! [X0,X3,X2,X1] :
        ( geq(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ geq(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_328])]) ).

fof(f958,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ geq(X0,X3) )
    | ~ spl4_58
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f697]) ).

fof(f19202,plain,
    ( spl4_327
    | ~ spl4_56
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f957,f889,f683,f19200]) ).

fof(f19200,plain,
    ( spl4_327
  <=> ! [X0,X3,X2,X1] :
        ( geq(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ geq(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_327])]) ).

fof(f957,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vmul(vplus(v1,X0),X1),vplus(X2,X3))
        | ~ geq(vmul(X0,X1),X2)
        | ~ geq(X1,X3) )
    | ~ spl4_56
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f684]) ).

fof(f19198,plain,
    ( spl4_326
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f956,f889,f687,f19196]) ).

fof(f19196,plain,
    ( spl4_326
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(vplus(v1,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_326])]) ).

fof(f956,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(vplus(v1,X1),X3) )
    | ~ spl4_57
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f688]) ).

fof(f19194,plain,
    ( spl4_325
    | ~ spl4_55
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f941,f885,f679,f19192]) ).

fof(f941,plain,
    ( ! [X2,X3,X0,X1] : vplus(vmul(X0,vplus(X1,X2)),X3) = vplus(vmul(X0,X1),vplus(vmul(X0,X2),X3))
    | ~ spl4_55
    | ~ spl4_59 ),
    inference(superposition,[],[f680,f886]) ).

fof(f19190,plain,
    ( spl4_324
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f877,f696,f675,f19188]) ).

fof(f877,plain,
    ( ! [X2,X0,X1] : vplus(vmul(X0,vmul(X1,X2)),vmul(X0,X1)) = vmul(X0,vmul(X1,vplus(v1,X2)))
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f848,f676]) ).

fof(f848,plain,
    ( ! [X2,X0,X1] : vmul(vmul(X0,X1),vplus(v1,X2)) = vplus(vmul(X0,vmul(X1,X2)),vmul(X0,X1))
    | ~ spl4_54
    | ~ spl4_58 ),
    inference(superposition,[],[f697,f676]) ).

fof(f19183,plain,
    ( spl4_323
    | ~ spl4_31
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f667,f544,f428,f19181]) ).

fof(f19181,plain,
    ( spl4_323
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vplus(X0,X2),vplus(X1,X2))
        | vplus(X0,X2) = vplus(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_323])]) ).

fof(f428,plain,
    ( spl4_31
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | greater(X0,X1)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f667,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vplus(X0,X2),vplus(X1,X2))
        | vplus(X0,X2) = vplus(X1,X2) )
    | ~ spl4_31
    | ~ spl4_53 ),
    inference(resolution,[],[f545,f429]) ).

fof(f429,plain,
    ( ! [X0,X1] :
        ( greater(X0,X1)
        | less(X0,X1)
        | X0 = X1 )
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f19179,plain,
    ( spl4_322
    | ~ spl4_31
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f654,f540,f428,f19177]) ).

fof(f654,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vmul(X0,X2),vmul(X1,X2))
        | vmul(X0,X2) = vmul(X1,X2) )
    | ~ spl4_31
    | ~ spl4_52 ),
    inference(resolution,[],[f541,f429]) ).

fof(f18067,plain,
    ( spl4_321
    | ~ spl4_53
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f940,f885,f544,f18065]) ).

fof(f940,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | greater(X3,vmul(X0,X1)) )
    | ~ spl4_53
    | ~ spl4_59 ),
    inference(superposition,[],[f545,f886]) ).

fof(f18063,plain,
    ( spl4_320
    | ~ spl4_53
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f939,f885,f544,f18061]) ).

fof(f939,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | greater(vmul(X0,X1),X3) )
    | ~ spl4_53
    | ~ spl4_59 ),
    inference(superposition,[],[f545,f886]) ).

fof(f18059,plain,
    ( spl4_319
    | ~ spl4_51
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f938,f885,f536,f18057]) ).

fof(f938,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | less(X3,vmul(X0,X1)) )
    | ~ spl4_51
    | ~ spl4_59 ),
    inference(superposition,[],[f537,f886]) ).

fof(f18055,plain,
    ( spl4_318
    | ~ spl4_51
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f937,f885,f536,f18053]) ).

fof(f937,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | less(vmul(X0,X1),X3) )
    | ~ spl4_51
    | ~ spl4_59 ),
    inference(superposition,[],[f537,f886]) ).

fof(f18051,plain,
    ( spl4_317
    | ~ spl4_49
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f935,f885,f523,f18049]) ).

fof(f935,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(X3,vmul(X0,X2))
        | vmul(X0,X1) = X3 )
    | ~ spl4_49
    | ~ spl4_59 ),
    inference(superposition,[],[f524,f886]) ).

fof(f18047,plain,
    ( spl4_316
    | ~ spl4_47
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f934,f885,f515,f18045]) ).

fof(f934,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) )
    | ~ spl4_47
    | ~ spl4_59 ),
    inference(superposition,[],[f516,f886]) ).

fof(f18043,plain,
    ( spl4_315
    | ~ spl4_47
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f933,f885,f515,f18041]) ).

fof(f933,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ greater(vmul(X0,X1),X3) )
    | ~ spl4_47
    | ~ spl4_59 ),
    inference(superposition,[],[f516,f886]) ).

fof(f18039,plain,
    ( spl4_314
    | ~ spl4_45
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f932,f885,f507,f18037]) ).

fof(f932,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X3,vmul(X0,X2)),vmul(X0,vplus(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) )
    | ~ spl4_45
    | ~ spl4_59 ),
    inference(superposition,[],[f508,f886]) ).

fof(f18033,plain,
    ( spl4_313
    | ~ spl4_45
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f931,f885,f507,f18031]) ).

fof(f931,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X0,vplus(X1,X2)),vplus(X3,vmul(X0,X2)))
        | ~ less(vmul(X0,X1),X3) )
    | ~ spl4_45
    | ~ spl4_59 ),
    inference(superposition,[],[f508,f886]) ).

fof(f18029,plain,
    ( spl4_312
    | ~ spl4_40
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f929,f885,f483,f18027]) ).

fof(f929,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vplus(X1,X2)) != vplus(vmul(X0,X1),X3)
        | vmul(X0,X2) = X3 )
    | ~ spl4_40
    | ~ spl4_59 ),
    inference(superposition,[],[f484,f886]) ).

fof(f17703,plain,
    ( spl4_311
    | ~ spl4_21
    | ~ spl4_112 ),
    inference(avatar_split_clause,[],[f13298,f1897,f348,f17700]) ).

fof(f13298,plain,
    ( less(vd519,vd517)
    | ~ spl4_21
    | ~ spl4_112 ),
    inference(resolution,[],[f1898,f349]) ).

fof(f1898,plain,
    ( greater(vd517,vd519)
    | ~ spl4_112 ),
    inference(avatar_component_clause,[],[f1897]) ).

fof(f13538,plain,
    ( spl4_310
    | ~ spl4_23
    | ~ spl4_112 ),
    inference(avatar_split_clause,[],[f13297,f1897,f356,f13535]) ).

fof(f13297,plain,
    ( geq(vd517,vd519)
    | ~ spl4_23
    | ~ spl4_112 ),
    inference(resolution,[],[f1898,f357]) ).

fof(f13533,plain,
    ( spl4_309
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1100,f1061,f385,f13531]) ).

fof(f13531,plain,
    ( spl4_309
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_309])]) ).

fof(f1100,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(superposition,[],[f386,f1062]) ).

fof(f13529,plain,
    ( spl4_308
    | ~ spl4_8
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1096,f1061,f293,f13527]) ).

fof(f13527,plain,
    ( spl4_308
  <=> ! [X0,X1] :
        ( sK0(X0,X1) != X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_308])]) ).

fof(f1096,plain,
    ( ! [X0,X1] :
        ( sK0(X0,X1) != X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_8
    | ~ spl4_65 ),
    inference(superposition,[],[f294,f1062]) ).

fof(f13525,plain,
    ( spl4_307
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1070,f1061,f385,f13523]) ).

fof(f13523,plain,
    ( spl4_307
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_307])]) ).

fof(f1070,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_27
    | ~ spl4_65 ),
    inference(superposition,[],[f386,f1062]) ).

fof(f13521,plain,
    ( spl4_306
    | ~ spl4_8
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1066,f1061,f293,f13519]) ).

fof(f13519,plain,
    ( spl4_306
  <=> ! [X0,X1] :
        ( sK1(X1,X0) != X1
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_306])]) ).

fof(f1066,plain,
    ( ! [X0,X1] :
        ( sK1(X1,X0) != X1
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_8
    | ~ spl4_65 ),
    inference(superposition,[],[f294,f1062]) ).

fof(f13517,plain,
    ( spl4_305
    | ~ spl4_38
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1057,f905,f456,f13515]) ).

fof(f13515,plain,
    ( spl4_305
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ geq(X2,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_305])]) ).

fof(f1057,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ geq(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f457]) ).

fof(f13513,plain,
    ( spl4_304
    | ~ spl4_38
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1048,f905,f456,f13511]) ).

fof(f13511,plain,
    ( spl4_304
  <=> ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ geq(vskolem2(X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_304])]) ).

fof(f1048,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ geq(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_64 ),
    inference(superposition,[],[f906,f457]) ).

fof(f13509,plain,
    ( spl4_303
    | ~ spl4_38
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1033,f901,f456,f13507]) ).

fof(f13507,plain,
    ( spl4_303
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ geq(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_303])]) ).

fof(f1033,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ geq(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f457]) ).

fof(f13505,plain,
    ( spl4_302
    | ~ spl4_38
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1024,f901,f456,f13503]) ).

fof(f1024,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ geq(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f457]) ).

fof(f13501,plain,
    ( spl4_301
    | ~ spl4_38
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1009,f897,f456,f13499]) ).

fof(f13499,plain,
    ( spl4_301
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_301])]) ).

fof(f1009,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f457]) ).

fof(f13497,plain,
    ( spl4_300
    | ~ spl4_38
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1000,f897,f456,f13495]) ).

fof(f13495,plain,
    ( spl4_300
  <=> ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_300])]) ).

fof(f1000,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f457]) ).

fof(f13487,plain,
    ( spl4_299
    | ~ spl4_38
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f970,f889,f456,f13485]) ).

fof(f13485,plain,
    ( spl4_299
  <=> ! [X2,X0,X1] :
        ( geq(vplus(X1,X2),X0)
        | ~ geq(X1,v1)
        | ~ geq(X2,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_299])]) ).

fof(f970,plain,
    ( ! [X2,X0,X1] :
        ( geq(vplus(X1,X2),X0)
        | ~ geq(X1,v1)
        | ~ geq(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f457]) ).

fof(f13483,plain,
    ( spl4_298
    | ~ spl4_38
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f961,f889,f456,f13481]) ).

fof(f13481,plain,
    ( spl4_298
  <=> ! [X2,X0,X1] :
        ( geq(X0,vplus(X1,X2))
        | ~ geq(v1,X1)
        | ~ geq(vskolem2(X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_298])]) ).

fof(f961,plain,
    ( ! [X2,X0,X1] :
        ( geq(X0,vplus(X1,X2))
        | ~ geq(v1,X1)
        | ~ geq(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f457]) ).

fof(f13479,plain,
    ( spl4_297
    | ~ spl4_55
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f873,f696,f679,f13477]) ).

fof(f13477,plain,
    ( spl4_297
  <=> ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) = vplus(vmul(X0,X1),vplus(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_297])]) ).

fof(f873,plain,
    ( ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) = vplus(vmul(X0,X1),vplus(X0,X2))
    | ~ spl4_55
    | ~ spl4_58 ),
    inference(superposition,[],[f680,f697]) ).

fof(f13475,plain,
    ( spl4_296
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f840,f687,f679,f13473]) ).

fof(f13473,plain,
    ( spl4_296
  <=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_296])]) ).

fof(f840,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(forward_demodulation,[],[f833,f680]) ).

fof(f833,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(vplus(v1,X1),X2))
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(superposition,[],[f680,f688]) ).

fof(f13471,plain,
    ( spl4_295
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f839,f687,f679,f13469]) ).

fof(f13469,plain,
    ( spl4_295
  <=> ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_295])]) ).

fof(f839,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2)))
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(forward_demodulation,[],[f813,f680]) ).

fof(f813,plain,
    ( ! [X2,X0,X1] : vplus(v1,vplus(vplus(X0,X1),X2)) = vplus(vplus(X0,vplus(v1,X1)),X2)
    | ~ spl4_55
    | ~ spl4_57 ),
    inference(superposition,[],[f680,f688]) ).

fof(f13467,plain,
    ( spl4_294
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f789,f687,f13465]) ).

fof(f13465,plain,
    ( spl4_294
  <=> ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_294])]) ).

fof(f789,plain,
    ( ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1)))
    | ~ spl4_57 ),
    inference(superposition,[],[f688,f688]) ).

fof(f13463,plain,
    ( spl4_293
    | ~ spl4_55
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f778,f683,f679,f13461]) ).

fof(f13461,plain,
    ( spl4_293
  <=> ! [X2,X0,X1] : vplus(vmul(vplus(v1,X0),X1),X2) = vplus(vmul(X0,X1),vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_293])]) ).

fof(f778,plain,
    ( ! [X2,X0,X1] : vplus(vmul(vplus(v1,X0),X1),X2) = vplus(vmul(X0,X1),vplus(X1,X2))
    | ~ spl4_55
    | ~ spl4_56 ),
    inference(superposition,[],[f680,f684]) ).

fof(f13459,plain,
    ( spl4_292
    | ~ spl4_54
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f756,f683,f675,f13457]) ).

fof(f756,plain,
    ( ! [X2,X0,X1] : vmul(vplus(v1,vmul(X0,X1)),X2) = vplus(vmul(X0,vmul(X1,X2)),X2)
    | ~ spl4_54
    | ~ spl4_56 ),
    inference(superposition,[],[f684,f676]) ).

fof(f12558,plain,
    ( ~ spl4_267
    | ~ spl4_164
    | spl4_81
    | ~ spl4_213 ),
    inference(avatar_split_clause,[],[f7599,f6498,f1363,f2930,f8536]) ).

fof(f7599,plain,
    ( ~ greater(vd518,vd519)
    | ~ greater(vd519,vd517)
    | spl4_81
    | ~ spl4_213 ),
    inference(resolution,[],[f6499,f1365]) ).

fof(f10567,plain,
    ( spl4_291
    | ~ spl4_18
    | ~ spl4_256 ),
    inference(avatar_split_clause,[],[f8584,f8491,f336,f10564]) ).

fof(f10564,plain,
    ( spl4_291
  <=> geq(vd519,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_291])]) ).

fof(f8491,plain,
    ( spl4_256
  <=> leq(vd517,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_256])]) ).

fof(f8584,plain,
    ( geq(vd519,vd517)
    | ~ spl4_18
    | ~ spl4_256 ),
    inference(resolution,[],[f8493,f337]) ).

fof(f8493,plain,
    ( leq(vd517,vd519)
    | ~ spl4_256 ),
    inference(avatar_component_clause,[],[f8491]) ).

fof(f8971,plain,
    ( spl4_229
    | ~ spl4_19
    | ~ spl4_221 ),
    inference(avatar_split_clause,[],[f8409,f6530,f340,f6663]) ).

fof(f6663,plain,
    ( spl4_229
  <=> leq(vd520,vd517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_229])]) ).

fof(f6530,plain,
    ( spl4_221
  <=> geq(vd517,vd520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_221])]) ).

fof(f8409,plain,
    ( leq(vd520,vd517)
    | ~ spl4_19
    | ~ spl4_221 ),
    inference(resolution,[],[f6532,f341]) ).

fof(f6532,plain,
    ( geq(vd517,vd520)
    | ~ spl4_221 ),
    inference(avatar_component_clause,[],[f6530]) ).

fof(f8639,plain,
    ( spl4_290
    | ~ spl4_53
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f872,f696,f544,f8637]) ).

fof(f8637,plain,
    ( spl4_290
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | greater(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_290])]) ).

fof(f872,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | greater(X2,vmul(X0,X1)) )
    | ~ spl4_53
    | ~ spl4_58 ),
    inference(superposition,[],[f545,f697]) ).

fof(f8635,plain,
    ( spl4_289
    | ~ spl4_53
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f871,f696,f544,f8633]) ).

fof(f871,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | greater(vmul(X0,X1),X2) )
    | ~ spl4_53
    | ~ spl4_58 ),
    inference(superposition,[],[f545,f697]) ).

fof(f8631,plain,
    ( spl4_288
    | ~ spl4_51
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f870,f696,f536,f8629]) ).

fof(f8629,plain,
    ( spl4_288
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | less(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_288])]) ).

fof(f870,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | less(X2,vmul(X0,X1)) )
    | ~ spl4_51
    | ~ spl4_58 ),
    inference(superposition,[],[f537,f697]) ).

fof(f8624,plain,
    ( spl4_287
    | ~ spl4_51
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f869,f696,f536,f8622]) ).

fof(f869,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | less(vmul(X0,X1),X2) )
    | ~ spl4_51
    | ~ spl4_58 ),
    inference(superposition,[],[f537,f697]) ).

fof(f8620,plain,
    ( spl4_286
    | ~ spl4_49
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f867,f696,f523,f8618]) ).

fof(f8618,plain,
    ( spl4_286
  <=> ! [X2,X0,X1] :
        ( vplus(X2,X0) != vmul(X0,vplus(v1,X1))
        | vmul(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_286])]) ).

fof(f867,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,X0) != vmul(X0,vplus(v1,X1))
        | vmul(X0,X1) = X2 )
    | ~ spl4_49
    | ~ spl4_58 ),
    inference(superposition,[],[f524,f697]) ).

fof(f8616,plain,
    ( spl4_285
    | ~ spl4_47
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f866,f696,f515,f8614]) ).

fof(f8614,plain,
    ( spl4_285
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_285])]) ).

fof(f866,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | ~ greater(X2,vmul(X0,X1)) )
    | ~ spl4_47
    | ~ spl4_58 ),
    inference(superposition,[],[f516,f697]) ).

fof(f8612,plain,
    ( spl4_284
    | ~ spl4_47
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f865,f696,f515,f8610]) ).

fof(f865,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ greater(vmul(X0,X1),X2) )
    | ~ spl4_47
    | ~ spl4_58 ),
    inference(superposition,[],[f516,f697]) ).

fof(f8608,plain,
    ( spl4_283
    | ~ spl4_45
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f864,f696,f507,f8606]) ).

fof(f864,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
        | ~ less(X2,vmul(X0,X1)) )
    | ~ spl4_45
    | ~ spl4_58 ),
    inference(superposition,[],[f508,f697]) ).

fof(f8604,plain,
    ( spl4_282
    | ~ spl4_45
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f863,f696,f507,f8602]) ).

fof(f863,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
        | ~ less(vmul(X0,X1),X2) )
    | ~ spl4_45
    | ~ spl4_58 ),
    inference(superposition,[],[f508,f697]) ).

fof(f8600,plain,
    ( spl4_281
    | ~ spl4_40
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f861,f696,f483,f8598]) ).

fof(f861,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X0,vplus(v1,X1)) != vplus(vmul(X0,X1),X2)
        | X0 = X2 )
    | ~ spl4_40
    | ~ spl4_58 ),
    inference(superposition,[],[f484,f697]) ).

fof(f8596,plain,
    ( spl4_280
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f832,f687,f544,f8594]) ).

fof(f8594,plain,
    ( spl4_280
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_280])]) ).

fof(f832,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | greater(X2,X0) )
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(superposition,[],[f545,f688]) ).

fof(f8592,plain,
    ( spl4_279
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f831,f687,f544,f8590]) ).

fof(f8590,plain,
    ( spl4_279
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_279])]) ).

fof(f831,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | greater(X0,X2) )
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(superposition,[],[f545,f688]) ).

fof(f8588,plain,
    ( spl4_278
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f830,f687,f536,f8586]) ).

fof(f8586,plain,
    ( spl4_278
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_278])]) ).

fof(f830,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | less(X2,X0) )
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(superposition,[],[f537,f688]) ).

fof(f8579,plain,
    ( spl4_277
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f829,f687,f536,f8577]) ).

fof(f8577,plain,
    ( spl4_277
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_277])]) ).

fof(f829,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | less(X0,X2) )
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(superposition,[],[f537,f688]) ).

fof(f8575,plain,
    ( spl4_276
    | ~ spl4_49
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f827,f687,f523,f8573]) ).

fof(f8573,plain,
    ( spl4_276
  <=> ! [X2,X0,X1] :
        ( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_276])]) ).

fof(f827,plain,
    ( ! [X2,X0,X1] :
        ( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
        | X0 = X2 )
    | ~ spl4_49
    | ~ spl4_57 ),
    inference(superposition,[],[f524,f688]) ).

fof(f8571,plain,
    ( spl4_275
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f826,f687,f515,f8569]) ).

fof(f8569,plain,
    ( spl4_275
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_275])]) ).

fof(f826,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0) )
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(superposition,[],[f516,f688]) ).

fof(f8567,plain,
    ( spl4_274
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f825,f687,f515,f8565]) ).

fof(f8565,plain,
    ( spl4_274
  <=> ! [X2,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_274])]) ).

fof(f825,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ greater(X0,X2) )
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(superposition,[],[f516,f688]) ).

fof(f8563,plain,
    ( spl4_273
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f824,f687,f507,f8561]) ).

fof(f8561,plain,
    ( spl4_273
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_273])]) ).

fof(f824,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ less(X2,X0) )
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(superposition,[],[f508,f688]) ).

fof(f8559,plain,
    ( spl4_272
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f823,f687,f507,f8557]) ).

fof(f8557,plain,
    ( spl4_272
  <=> ! [X2,X0,X1] :
        ( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_272])]) ).

fof(f823,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ less(X0,X2) )
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(superposition,[],[f508,f688]) ).

fof(f8555,plain,
    ( spl4_271
    | ~ spl4_40
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f821,f687,f483,f8553]) ).

fof(f8553,plain,
    ( spl4_271
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
        | vplus(v1,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_271])]) ).

fof(f821,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
        | vplus(v1,X1) = X2 )
    | ~ spl4_40
    | ~ spl4_57 ),
    inference(superposition,[],[f484,f688]) ).

fof(f8551,plain,
    ( spl4_270
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f812,f687,f544,f8549]) ).

fof(f8549,plain,
    ( spl4_270
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | greater(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_270])]) ).

fof(f812,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | greater(X2,v1) )
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(superposition,[],[f545,f688]) ).

fof(f8547,plain,
    ( spl4_269
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f811,f687,f544,f8545]) ).

fof(f8545,plain,
    ( spl4_269
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | greater(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_269])]) ).

fof(f811,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | greater(v1,X2) )
    | ~ spl4_53
    | ~ spl4_57 ),
    inference(superposition,[],[f545,f688]) ).

fof(f8543,plain,
    ( spl4_268
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f810,f687,f536,f8541]) ).

fof(f8541,plain,
    ( spl4_268
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | less(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_268])]) ).

fof(f810,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | less(X2,v1) )
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(superposition,[],[f537,f688]) ).

fof(f8539,plain,
    ( spl4_267
    | ~ spl4_20
    | ~ spl4_200 ),
    inference(avatar_split_clause,[],[f8266,f6143,f344,f8536]) ).

fof(f8266,plain,
    ( greater(vd519,vd517)
    | ~ spl4_20
    | ~ spl4_200 ),
    inference(resolution,[],[f6145,f345]) ).

fof(f8534,plain,
    ( spl4_266
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f809,f687,f536,f8532]) ).

fof(f8532,plain,
    ( spl4_266
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | less(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_266])]) ).

fof(f809,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | less(v1,X2) )
    | ~ spl4_51
    | ~ spl4_57 ),
    inference(superposition,[],[f537,f688]) ).

fof(f8530,plain,
    ( spl4_265
    | ~ spl4_49
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f807,f687,f523,f8528]) ).

fof(f8528,plain,
    ( spl4_265
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
        | v1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_265])]) ).

fof(f807,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
        | v1 = X2 )
    | ~ spl4_49
    | ~ spl4_57 ),
    inference(superposition,[],[f524,f688]) ).

fof(f8526,plain,
    ( spl4_264
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f806,f687,f515,f8524]) ).

fof(f8524,plain,
    ( spl4_264
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_264])]) ).

fof(f806,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1) )
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(superposition,[],[f516,f688]) ).

fof(f8522,plain,
    ( spl4_263
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f805,f687,f515,f8520]) ).

fof(f8520,plain,
    ( spl4_263
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ greater(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_263])]) ).

fof(f805,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ greater(v1,X2) )
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(superposition,[],[f516,f688]) ).

fof(f8518,plain,
    ( spl4_262
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f804,f687,f507,f8516]) ).

fof(f804,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ less(X2,v1) )
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(superposition,[],[f508,f688]) ).

fof(f8514,plain,
    ( spl4_261
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f803,f687,f507,f8512]) ).

fof(f8512,plain,
    ( spl4_261
  <=> ! [X2,X0,X1] :
        ( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ less(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_261])]) ).

fof(f803,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ less(v1,X2) )
    | ~ spl4_45
    | ~ spl4_57 ),
    inference(superposition,[],[f508,f688]) ).

fof(f8510,plain,
    ( spl4_260
    | ~ spl4_40
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f801,f687,f483,f8508]) ).

fof(f8508,plain,
    ( spl4_260
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_260])]) ).

fof(f801,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
        | vplus(X0,X1) = X2 )
    | ~ spl4_40
    | ~ spl4_57 ),
    inference(superposition,[],[f484,f688]) ).

fof(f8506,plain,
    ( spl4_259
    | ~ spl4_53
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f777,f683,f544,f8504]) ).

fof(f8504,plain,
    ( spl4_259
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | greater(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_259])]) ).

fof(f777,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | greater(X2,vmul(X0,X1)) )
    | ~ spl4_53
    | ~ spl4_56 ),
    inference(superposition,[],[f545,f684]) ).

fof(f8502,plain,
    ( spl4_258
    | ~ spl4_53
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f776,f683,f544,f8500]) ).

fof(f8500,plain,
    ( spl4_258
  <=> ! [X2,X0,X1] :
        ( ~ greater(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | greater(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_258])]) ).

fof(f776,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | greater(vmul(X0,X1),X2) )
    | ~ spl4_53
    | ~ spl4_56 ),
    inference(superposition,[],[f545,f684]) ).

fof(f8498,plain,
    ( spl4_257
    | ~ spl4_51
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f775,f683,f536,f8496]) ).

fof(f8496,plain,
    ( spl4_257
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | less(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_257])]) ).

fof(f775,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | less(X2,vmul(X0,X1)) )
    | ~ spl4_51
    | ~ spl4_56 ),
    inference(superposition,[],[f537,f684]) ).

fof(f8494,plain,
    ( spl4_256
    | ~ spl4_22
    | ~ spl4_200 ),
    inference(avatar_split_clause,[],[f8265,f6143,f352,f8491]) ).

fof(f8265,plain,
    ( leq(vd517,vd519)
    | ~ spl4_22
    | ~ spl4_200 ),
    inference(resolution,[],[f6145,f353]) ).

fof(f8489,plain,
    ( spl4_255
    | ~ spl4_51
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f774,f683,f536,f8487]) ).

fof(f8487,plain,
    ( spl4_255
  <=> ! [X2,X0,X1] :
        ( ~ less(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | less(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_255])]) ).

fof(f774,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | less(vmul(X0,X1),X2) )
    | ~ spl4_51
    | ~ spl4_56 ),
    inference(superposition,[],[f537,f684]) ).

fof(f8485,plain,
    ( spl4_254
    | ~ spl4_49
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f772,f683,f523,f8483]) ).

fof(f8483,plain,
    ( spl4_254
  <=> ! [X2,X0,X1] :
        ( vplus(X2,X1) != vmul(vplus(v1,X0),X1)
        | vmul(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_254])]) ).

fof(f772,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,X1) != vmul(vplus(v1,X0),X1)
        | vmul(X0,X1) = X2 )
    | ~ spl4_49
    | ~ spl4_56 ),
    inference(superposition,[],[f524,f684]) ).

fof(f8481,plain,
    ( spl4_253
    | ~ spl4_47
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f771,f683,f515,f8479]) ).

fof(f8479,plain,
    ( spl4_253
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_253])]) ).

fof(f771,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | ~ greater(X2,vmul(X0,X1)) )
    | ~ spl4_47
    | ~ spl4_56 ),
    inference(superposition,[],[f516,f684]) ).

fof(f8477,plain,
    ( spl4_252
    | ~ spl4_47
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f770,f683,f515,f8475]) ).

fof(f8475,plain,
    ( spl4_252
  <=> ! [X2,X0,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | ~ greater(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_252])]) ).

fof(f770,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | ~ greater(vmul(X0,X1),X2) )
    | ~ spl4_47
    | ~ spl4_56 ),
    inference(superposition,[],[f516,f684]) ).

fof(f8473,plain,
    ( spl4_251
    | ~ spl4_45
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f769,f683,f507,f8471]) ).

fof(f8471,plain,
    ( spl4_251
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | ~ less(X2,vmul(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_251])]) ).

fof(f769,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vmul(vplus(v1,X0),X1))
        | ~ less(X2,vmul(X0,X1)) )
    | ~ spl4_45
    | ~ spl4_56 ),
    inference(superposition,[],[f508,f684]) ).

fof(f8469,plain,
    ( spl4_250
    | ~ spl4_45
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f768,f683,f507,f8467]) ).

fof(f8467,plain,
    ( spl4_250
  <=> ! [X2,X0,X1] :
        ( less(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | ~ less(vmul(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_250])]) ).

fof(f768,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(vplus(v1,X0),X1),vplus(X2,X1))
        | ~ less(vmul(X0,X1),X2) )
    | ~ spl4_45
    | ~ spl4_56 ),
    inference(superposition,[],[f508,f684]) ).

fof(f8465,plain,
    ( spl4_249
    | ~ spl4_40
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f766,f683,f483,f8463]) ).

fof(f766,plain,
    ( ! [X2,X0,X1] :
        ( vmul(vplus(v1,X0),X1) != vplus(vmul(X0,X1),X2)
        | X1 = X2 )
    | ~ spl4_40
    | ~ spl4_56 ),
    inference(superposition,[],[f484,f684]) ).

fof(f8461,plain,
    ( spl4_248
    | ~ spl4_53
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f747,f679,f544,f8459]) ).

fof(f8459,plain,
    ( spl4_248
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_248])]) ).

fof(f747,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | greater(X3,vplus(X0,X1)) )
    | ~ spl4_53
    | ~ spl4_55 ),
    inference(superposition,[],[f545,f680]) ).

fof(f8457,plain,
    ( spl4_247
    | ~ spl4_53
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f746,f679,f544,f8455]) ).

fof(f8455,plain,
    ( spl4_247
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_247])]) ).

fof(f746,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | greater(vplus(X0,X1),X3) )
    | ~ spl4_53
    | ~ spl4_55 ),
    inference(superposition,[],[f545,f680]) ).

fof(f8453,plain,
    ( spl4_246
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f745,f679,f536,f8451]) ).

fof(f745,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | less(X3,vplus(X0,X1)) )
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(superposition,[],[f537,f680]) ).

fof(f8449,plain,
    ( spl4_245
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f744,f679,f536,f8447]) ).

fof(f8447,plain,
    ( spl4_245
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | less(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_245])]) ).

fof(f744,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | less(vplus(X0,X1),X3) )
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(superposition,[],[f537,f680]) ).

fof(f8445,plain,
    ( spl4_244
    | ~ spl4_49
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f742,f679,f523,f8443]) ).

fof(f8443,plain,
    ( spl4_244
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
        | vplus(X0,X1) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_244])]) ).

fof(f742,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
        | vplus(X0,X1) = X3 )
    | ~ spl4_49
    | ~ spl4_55 ),
    inference(superposition,[],[f524,f680]) ).

fof(f8441,plain,
    ( spl4_243
    | ~ spl4_47
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f741,f679,f515,f8439]) ).

fof(f741,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_47
    | ~ spl4_55 ),
    inference(superposition,[],[f516,f680]) ).

fof(f8437,plain,
    ( spl4_242
    | ~ spl4_47
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f740,f679,f515,f8435]) ).

fof(f740,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_47
    | ~ spl4_55 ),
    inference(superposition,[],[f516,f680]) ).

fof(f8433,plain,
    ( spl4_241
    | ~ spl4_45
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f739,f679,f507,f8431]) ).

fof(f739,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ less(X3,vplus(X0,X1)) )
    | ~ spl4_45
    | ~ spl4_55 ),
    inference(superposition,[],[f508,f680]) ).

fof(f8429,plain,
    ( spl4_240
    | ~ spl4_45
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f738,f679,f507,f8427]) ).

fof(f738,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ less(vplus(X0,X1),X3) )
    | ~ spl4_45
    | ~ spl4_55 ),
    inference(superposition,[],[f508,f680]) ).

fof(f8425,plain,
    ( spl4_239
    | ~ spl4_40
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f736,f679,f483,f8423]) ).

fof(f8423,plain,
    ( spl4_239
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
        | X2 = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_239])]) ).

fof(f736,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
        | X2 = X3 )
    | ~ spl4_40
    | ~ spl4_55 ),
    inference(superposition,[],[f484,f680]) ).

fof(f8421,plain,
    ( spl4_238
    | ~ spl4_52
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f719,f675,f540,f8419]) ).

fof(f719,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | greater(X3,vmul(X0,X1)) )
    | ~ spl4_52
    | ~ spl4_54 ),
    inference(superposition,[],[f541,f676]) ).

fof(f8417,plain,
    ( spl4_237
    | ~ spl4_52
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f718,f675,f540,f8415]) ).

fof(f718,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | greater(vmul(X0,X1),X3) )
    | ~ spl4_52
    | ~ spl4_54 ),
    inference(superposition,[],[f541,f676]) ).

fof(f8413,plain,
    ( spl4_236
    | ~ spl4_50
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f717,f675,f527,f8411]) ).

fof(f717,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | less(X3,vmul(X0,X1)) )
    | ~ spl4_50
    | ~ spl4_54 ),
    inference(superposition,[],[f528,f676]) ).

fof(f8407,plain,
    ( spl4_235
    | ~ spl4_50
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f716,f675,f527,f8405]) ).

fof(f716,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | less(vmul(X0,X1),X3) )
    | ~ spl4_50
    | ~ spl4_54 ),
    inference(superposition,[],[f528,f676]) ).

fof(f8403,plain,
    ( spl4_234
    | ~ spl4_48
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f714,f675,f519,f8401]) ).

fof(f714,plain,
    ( ! [X2,X3,X0,X1] :
        ( vmul(X0,vmul(X1,X2)) != vmul(X3,X2)
        | vmul(X0,X1) = X3 )
    | ~ spl4_48
    | ~ spl4_54 ),
    inference(superposition,[],[f520,f676]) ).

fof(f8399,plain,
    ( spl4_233
    | ~ spl4_46
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f713,f675,f511,f8397]) ).

fof(f713,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ greater(X3,vmul(X0,X1)) )
    | ~ spl4_46
    | ~ spl4_54 ),
    inference(superposition,[],[f512,f676]) ).

fof(f8395,plain,
    ( spl4_232
    | ~ spl4_46
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f712,f675,f511,f8393]) ).

fof(f712,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ greater(vmul(X0,X1),X3) )
    | ~ spl4_46
    | ~ spl4_54 ),
    inference(superposition,[],[f512,f676]) ).

fof(f8391,plain,
    ( spl4_231
    | ~ spl4_44
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f711,f675,f503,f8389]) ).

fof(f711,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X3,X2),vmul(X0,vmul(X1,X2)))
        | ~ less(X3,vmul(X0,X1)) )
    | ~ spl4_44
    | ~ spl4_54 ),
    inference(superposition,[],[f504,f676]) ).

fof(f8387,plain,
    ( spl4_230
    | ~ spl4_44
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f710,f675,f503,f8385]) ).

fof(f710,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vmul(X0,vmul(X1,X2)),vmul(X3,X2))
        | ~ less(vmul(X0,X1),X3) )
    | ~ spl4_44
    | ~ spl4_54 ),
    inference(superposition,[],[f504,f676]) ).

fof(f6666,plain,
    ( spl4_229
    | ~ spl4_30
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6426,f6139,f417,f6663]) ).

fof(f6426,plain,
    ( leq(vd520,vd517)
    | ~ spl4_30
    | ~ spl4_199 ),
    inference(superposition,[],[f419,f6141]) ).

fof(f6561,plain,
    ( spl4_228
    | ~ spl4_12
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1099,f1061,f309,f6559]) ).

fof(f1099,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_12
    | ~ spl4_65 ),
    inference(superposition,[],[f310,f1062]) ).

fof(f6557,plain,
    ( spl4_227
    | ~ spl4_9
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1097,f1061,f297,f6555]) ).

fof(f1097,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_9
    | ~ spl4_65 ),
    inference(superposition,[],[f298,f1062]) ).

fof(f6553,plain,
    ( spl4_226
    | ~ spl4_12
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1069,f1061,f309,f6551]) ).

fof(f1069,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_12
    | ~ spl4_65 ),
    inference(superposition,[],[f310,f1062]) ).

fof(f6549,plain,
    ( spl4_225
    | ~ spl4_9
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1067,f1061,f297,f6547]) ).

fof(f1067,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_9
    | ~ spl4_65 ),
    inference(superposition,[],[f298,f1062]) ).

fof(f6545,plain,
    ( spl4_224
    | ~ spl4_21
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1040,f905,f348,f6543]) ).

fof(f6543,plain,
    ( spl4_224
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_224])]) ).

fof(f1040,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_64 ),
    inference(resolution,[],[f906,f349]) ).

fof(f6541,plain,
    ( spl4_223
    | ~ spl4_23
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1039,f905,f356,f6539]) ).

fof(f6539,plain,
    ( spl4_223
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_223])]) ).

fof(f1039,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ geq(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) )
    | ~ spl4_23
    | ~ spl4_64 ),
    inference(resolution,[],[f906,f357]) ).

fof(f6537,plain,
    ( spl4_222
    | ~ spl4_26
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1026,f901,f381,f6535]) ).

fof(f1026,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X1,X0))
        | ~ geq(X2,X0)
        | ~ greater(X3,X1) )
    | ~ spl4_26
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f382]) ).

fof(f6533,plain,
    ( spl4_221
    | ~ spl4_14
    | ~ spl4_199 ),
    inference(avatar_split_clause,[],[f6425,f6139,f317,f6530]) ).

fof(f6425,plain,
    ( geq(vd517,vd520)
    | ~ spl4_14
    | ~ spl4_199 ),
    inference(superposition,[],[f319,f6141]) ).

fof(f6528,plain,
    ( spl4_220
    | ~ spl4_26
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1017,f901,f381,f6526]) ).

fof(f1017,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_26
    | ~ spl4_63 ),
    inference(superposition,[],[f902,f382]) ).

fof(f6524,plain,
    ( spl4_219
    | ~ spl4_21
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1016,f901,f348,f6522]) ).

fof(f1016,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_63 ),
    inference(resolution,[],[f902,f349]) ).

fof(f6520,plain,
    ( spl4_218
    | ~ spl4_23
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1015,f901,f356,f6518]) ).

fof(f6518,plain,
    ( spl4_218
  <=> ! [X0,X3,X2,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_218])]) ).

fof(f1015,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) )
    | ~ spl4_23
    | ~ spl4_63 ),
    inference(resolution,[],[f902,f357]) ).

fof(f6516,plain,
    ( spl4_217
    | ~ spl4_26
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f993,f897,f381,f6514]) ).

fof(f6514,plain,
    ( spl4_217
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_217])]) ).

fof(f993,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_26
    | ~ spl4_62 ),
    inference(superposition,[],[f898,f382]) ).

fof(f6512,plain,
    ( spl4_216
    | ~ spl4_21
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f992,f897,f348,f6510]) ).

fof(f6510,plain,
    ( spl4_216
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_216])]) ).

fof(f992,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_62 ),
    inference(resolution,[],[f898,f349]) ).

fof(f6508,plain,
    ( spl4_215
    | ~ spl4_23
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f991,f897,f356,f6506]) ).

fof(f6506,plain,
    ( spl4_215
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_215])]) ).

fof(f991,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) )
    | ~ spl4_23
    | ~ spl4_62 ),
    inference(resolution,[],[f898,f357]) ).

fof(f6504,plain,
    ( spl4_214
    | ~ spl4_25
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f980,f893,f377,f6502]) ).

fof(f980,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_25
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f378]) ).

fof(f6500,plain,
    ( spl4_213
    | ~ spl4_21
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f977,f893,f348,f6498]) ).

fof(f977,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vmul(X1,X3),vmul(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_61 ),
    inference(resolution,[],[f894,f349]) ).

fof(f6496,plain,
    ( spl4_212
    | ~ spl4_23
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f976,f893,f356,f6494]) ).

fof(f976,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vmul(X0,X2),vmul(X1,X3)) )
    | ~ spl4_23
    | ~ spl4_61 ),
    inference(resolution,[],[f894,f357]) ).

fof(f6492,plain,
    ( spl4_211
    | ~ spl4_26
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f954,f889,f381,f6490]) ).

fof(f6490,plain,
    ( spl4_211
  <=> ! [X0,X3,X2,X1] :
        ( geq(vplus(X1,X0),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_211])]) ).

fof(f954,plain,
    ( ! [X2,X3,X0,X1] :
        ( geq(vplus(X1,X0),vplus(X2,X3))
        | ~ geq(X0,X2)
        | ~ geq(X1,X3) )
    | ~ spl4_26
    | ~ spl4_60 ),
    inference(superposition,[],[f890,f382]) ).

fof(f6484,plain,
    ( spl4_210
    | ~ spl4_19
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f953,f889,f340,f6482]) ).

fof(f6482,plain,
    ( spl4_210
  <=> ! [X0,X3,X2,X1] :
        ( ~ geq(X0,X1)
        | ~ geq(X2,X3)
        | leq(vplus(X1,X3),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_210])]) ).

fof(f953,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ geq(X0,X1)
        | ~ geq(X2,X3)
        | leq(vplus(X1,X3),vplus(X0,X2)) )
    | ~ spl4_19
    | ~ spl4_60 ),
    inference(resolution,[],[f890,f341]) ).

fof(f6480,plain,
    ( spl4_209
    | ~ spl4_26
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f919,f885,f381,f6478]) ).

fof(f919,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X2),vmul(X0,X1))
    | ~ spl4_26
    | ~ spl4_59 ),
    inference(superposition,[],[f886,f382]) ).

fof(f6476,plain,
    ( spl4_208
    | ~ spl4_25
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f915,f885,f377,f6474]) ).

fof(f915,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X2,X1)) = vplus(vmul(X0,X2),vmul(X1,X0))
    | ~ spl4_25
    | ~ spl4_59 ),
    inference(superposition,[],[f886,f378]) ).

fof(f6472,plain,
    ( spl4_207
    | ~ spl4_25
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f910,f885,f377,f6470]) ).

fof(f910,plain,
    ( ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X1,X0),vmul(X0,X2))
    | ~ spl4_25
    | ~ spl4_59 ),
    inference(superposition,[],[f886,f378]) ).

fof(f6468,plain,
    ( spl4_206
    | ~ spl4_38
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f788,f687,f456,f6466]) ).

fof(f788,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_57 ),
    inference(superposition,[],[f688,f457]) ).

fof(f6464,plain,
    ( spl4_205
    | ~ spl4_38
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f724,f679,f456,f6462]) ).

fof(f724,plain,
    ( ! [X0,X1] :
        ( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_55 ),
    inference(superposition,[],[f680,f457]) ).

fof(f6460,plain,
    ( spl4_204
    | ~ spl4_35
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f577,f507,f444,f6458]) ).

fof(f6458,plain,
    ( spl4_204
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,X3))
        | less(X2,vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_204])]) ).

fof(f577,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,X3))
        | less(X2,vplus(X1,X3)) )
    | ~ spl4_35
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f445]) ).

fof(f6456,plain,
    ( spl4_203
    | ~ spl4_35
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f560,f503,f444,f6454]) ).

fof(f560,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vmul(X0,X3))
        | less(X2,vmul(X1,X3)) )
    | ~ spl4_35
    | ~ spl4_44 ),
    inference(resolution,[],[f504,f445]) ).

fof(f6452,plain,
    ( spl4_202
    | ~ spl4_31
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f555,f499,f428,f6450]) ).

fof(f555,plain,
    ( ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | less(X1,X0)
        | X0 = X1 )
    | ~ spl4_31
    | ~ spl4_43 ),
    inference(resolution,[],[f500,f429]) ).

fof(f6448,plain,
    ( spl4_201
    | ~ spl4_28
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f471,f436,f409,f6446]) ).

fof(f6446,plain,
    ( spl4_201
  <=> ! [X0,X1] :
        ( greater(X0,vplus(X1,v1))
        | vplus(X1,v1) = X0
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_201])]) ).

fof(f409,plain,
    ( spl4_28
  <=> ! [X0,X1] :
        ( geq(X0,vplus(X1,v1))
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f471,plain,
    ( ! [X0,X1] :
        ( greater(X0,vplus(X1,v1))
        | vplus(X1,v1) = X0
        | ~ greater(X0,X1) )
    | ~ spl4_28
    | ~ spl4_33 ),
    inference(resolution,[],[f437,f410]) ).

fof(f410,plain,
    ( ! [X0,X1] :
        ( geq(X0,vplus(X1,v1))
        | ~ greater(X0,X1) )
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f6146,plain,
    ( spl4_199
    | spl4_200
    | ~ spl4_31
    | spl4_112 ),
    inference(avatar_split_clause,[],[f1989,f1897,f428,f6143,f6139]) ).

fof(f1989,plain,
    ( less(vd517,vd519)
    | vd517 = vd519
    | ~ spl4_31
    | spl4_112 ),
    inference(resolution,[],[f1899,f429]) ).

fof(f1899,plain,
    ( ~ greater(vd517,vd519)
    | spl4_112 ),
    inference(avatar_component_clause,[],[f1897]) ).

fof(f6102,plain,
    ( spl4_198
    | ~ spl4_28
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f749,f679,f409,f6100]) ).

fof(f6100,plain,
    ( spl4_198
  <=> ! [X2,X0,X1] :
        ( geq(X2,vplus(X0,vplus(X1,v1)))
        | ~ greater(X2,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_198])]) ).

fof(f749,plain,
    ( ! [X2,X0,X1] :
        ( geq(X2,vplus(X0,vplus(X1,v1)))
        | ~ greater(X2,vplus(X0,X1)) )
    | ~ spl4_28
    | ~ spl4_55 ),
    inference(superposition,[],[f410,f680]) ).

fof(f6098,plain,
    ( spl4_197
    | ~ spl4_29
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f748,f679,f413,f6096]) ).

fof(f748,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X2,vplus(X0,vplus(X1,v1)))
        | leq(X2,vplus(X0,X1)) )
    | ~ spl4_29
    | ~ spl4_55 ),
    inference(superposition,[],[f414,f680]) ).

fof(f6094,plain,
    ( spl4_196
    | ~ spl4_38
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f673,f544,f456,f6092]) ).

fof(f6092,plain,
    ( spl4_196
  <=> ! [X0,X1] :
        ( ~ greater(vplus(X1,vskolem2(X0)),X0)
        | greater(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_196])]) ).

fof(f673,plain,
    ( ! [X0,X1] :
        ( ~ greater(vplus(X1,vskolem2(X0)),X0)
        | greater(X1,v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_53 ),
    inference(superposition,[],[f545,f457]) ).

fof(f6090,plain,
    ( spl4_195
    | ~ spl4_38
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f670,f544,f456,f6088]) ).

fof(f6088,plain,
    ( spl4_195
  <=> ! [X0,X1] :
        ( ~ greater(X0,vplus(X1,vskolem2(X0)))
        | greater(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_195])]) ).

fof(f670,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,vplus(X1,vskolem2(X0)))
        | greater(v1,X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_53 ),
    inference(superposition,[],[f545,f457]) ).

fof(f6086,plain,
    ( spl4_194
    | ~ spl4_38
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f652,f536,f456,f6084]) ).

fof(f6084,plain,
    ( spl4_194
  <=> ! [X0,X1] :
        ( ~ less(vplus(X1,vskolem2(X0)),X0)
        | less(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_194])]) ).

fof(f652,plain,
    ( ! [X0,X1] :
        ( ~ less(vplus(X1,vskolem2(X0)),X0)
        | less(X1,v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_51 ),
    inference(superposition,[],[f537,f457]) ).

fof(f6082,plain,
    ( spl4_193
    | ~ spl4_38
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f649,f536,f456,f6080]) ).

fof(f6080,plain,
    ( spl4_193
  <=> ! [X0,X1] :
        ( ~ less(X0,vplus(X1,vskolem2(X0)))
        | less(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_193])]) ).

fof(f649,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vplus(X1,vskolem2(X0)))
        | less(v1,X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_51 ),
    inference(superposition,[],[f537,f457]) ).

fof(f6078,plain,
    ( spl4_192
    | ~ spl4_38
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f629,f523,f456,f6076]) ).

fof(f6076,plain,
    ( spl4_192
  <=> ! [X0,X1] :
        ( vplus(X1,vskolem2(X0)) != X0
        | v1 = X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_192])]) ).

fof(f629,plain,
    ( ! [X0,X1] :
        ( vplus(X1,vskolem2(X0)) != X0
        | v1 = X1
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_49 ),
    inference(superposition,[],[f524,f457]) ).

fof(f6074,plain,
    ( spl4_191
    | ~ spl4_38
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f611,f515,f456,f6072]) ).

fof(f6072,plain,
    ( spl4_191
  <=> ! [X0,X1] :
        ( greater(vplus(X1,vskolem2(X0)),X0)
        | ~ greater(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_191])]) ).

fof(f611,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X1,vskolem2(X0)),X0)
        | ~ greater(X1,v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_47 ),
    inference(superposition,[],[f516,f457]) ).

fof(f6068,plain,
    ( spl4_190
    | ~ spl4_38
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f608,f515,f456,f6066]) ).

fof(f6066,plain,
    ( spl4_190
  <=> ! [X0,X1] :
        ( greater(X0,vplus(X1,vskolem2(X0)))
        | ~ greater(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_190])]) ).

fof(f608,plain,
    ( ! [X0,X1] :
        ( greater(X0,vplus(X1,vskolem2(X0)))
        | ~ greater(v1,X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_47 ),
    inference(superposition,[],[f516,f457]) ).

fof(f6064,plain,
    ( spl4_189
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f586,f507,f456,f6062]) ).

fof(f6062,plain,
    ( spl4_189
  <=> ! [X0,X1] :
        ( less(vplus(X1,vskolem2(X0)),X0)
        | ~ less(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_189])]) ).

fof(f586,plain,
    ( ! [X0,X1] :
        ( less(vplus(X1,vskolem2(X0)),X0)
        | ~ less(X1,v1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f508,f457]) ).

fof(f6060,plain,
    ( spl4_188
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f583,f507,f456,f6058]) ).

fof(f6058,plain,
    ( spl4_188
  <=> ! [X0,X1] :
        ( less(X0,vplus(X1,vskolem2(X0)))
        | ~ less(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_188])]) ).

fof(f583,plain,
    ( ! [X0,X1] :
        ( less(X0,vplus(X1,vskolem2(X0)))
        | ~ less(v1,X1)
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f508,f457]) ).

fof(f6056,plain,
    ( spl4_187
    | ~ spl4_38
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f549,f483,f456,f6054]) ).

fof(f6054,plain,
    ( spl4_187
  <=> ! [X0,X1] :
        ( vplus(v1,X1) != X0
        | vskolem2(X0) = X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_187])]) ).

fof(f549,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) != X0
        | vskolem2(X0) = X1
        | v1 = X0 )
    | ~ spl4_38
    | ~ spl4_40 ),
    inference(superposition,[],[f484,f457]) ).

fof(f5756,plain,
    ( spl4_186
    | ~ spl4_18
    | ~ spl4_156 ),
    inference(avatar_split_clause,[],[f3880,f2813,f336,f5753]) ).

fof(f5753,plain,
    ( spl4_186
  <=> geq(vd518,vd519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_186])]) ).

fof(f3880,plain,
    ( geq(vd518,vd519)
    | ~ spl4_18
    | ~ spl4_156 ),
    inference(resolution,[],[f2815,f337]) ).

fof(f3908,plain,
    ( spl4_185
    | ~ spl4_10
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f984,f893,f301,f3906]) ).

fof(f984,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,X0)
        | ~ greater(X2,v1) )
    | ~ spl4_10
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f302]) ).

fof(f3904,plain,
    ( spl4_184
    | ~ spl4_7
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f983,f893,f289,f3902]) ).

fof(f983,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,X0) )
    | ~ spl4_7
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f290]) ).

fof(f3900,plain,
    ( spl4_183
    | ~ spl4_10
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f979,f893,f301,f3898]) ).

fof(f979,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(X0,X1)
        | ~ greater(v1,X2) )
    | ~ spl4_10
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f302]) ).

fof(f3896,plain,
    ( spl4_182
    | ~ spl4_7
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f978,f893,f289,f3894]) ).

fof(f978,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vmul(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(X0,X2) )
    | ~ spl4_7
    | ~ spl4_61 ),
    inference(superposition,[],[f894,f290]) ).

fof(f3892,plain,
    ( spl4_181
    | ~ spl4_27
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f928,f885,f385,f3890]) ).

fof(f928,plain,
    ( ! [X2,X3,X0,X1] : vmul(X0,X1) != vplus(vmul(X0,vplus(X1,X2)),X3)
    | ~ spl4_27
    | ~ spl4_59 ),
    inference(superposition,[],[f386,f886]) ).

fof(f3888,plain,
    ( spl4_180
    | ~ spl4_10
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f914,f885,f301,f3886]) ).

fof(f914,plain,
    ( ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1))
    | ~ spl4_10
    | ~ spl4_59 ),
    inference(superposition,[],[f886,f302]) ).

fof(f3884,plain,
    ( spl4_179
    | ~ spl4_26
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f850,f696,f381,f3882]) ).

fof(f850,plain,
    ( ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1))
    | ~ spl4_26
    | ~ spl4_58 ),
    inference(superposition,[],[f697,f382]) ).

fof(f3875,plain,
    ( spl4_178
    | ~ spl4_25
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f846,f696,f377,f3873]) ).

fof(f3873,plain,
    ( spl4_178
  <=> ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(vmul(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_178])]) ).

fof(f846,plain,
    ( ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(vmul(X1,X0),X0)
    | ~ spl4_25
    | ~ spl4_58 ),
    inference(superposition,[],[f697,f378]) ).

fof(f3871,plain,
    ( spl4_177
    | ~ spl4_26
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f792,f687,f381,f3869]) ).

fof(f792,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0)
    | ~ spl4_26
    | ~ spl4_57 ),
    inference(superposition,[],[f688,f382]) ).

fof(f3867,plain,
    ( spl4_176
    | ~ spl4_27
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f765,f683,f385,f3865]) ).

fof(f3865,plain,
    ( spl4_176
  <=> ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(vplus(v1,X0),X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_176])]) ).

fof(f765,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(vplus(v1,X0),X1),X2)
    | ~ spl4_27
    | ~ spl4_56 ),
    inference(superposition,[],[f386,f684]) ).

fof(f3863,plain,
    ( spl4_175
    | ~ spl4_26
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f757,f683,f381,f3861]) ).

fof(f757,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(X1,vmul(X0,X1))
    | ~ spl4_26
    | ~ spl4_56 ),
    inference(superposition,[],[f684,f382]) ).

fof(f3859,plain,
    ( spl4_174
    | ~ spl4_25
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f754,f683,f377,f3857]) ).

fof(f754,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) = vplus(vmul(X1,X0),X1)
    | ~ spl4_25
    | ~ spl4_56 ),
    inference(superposition,[],[f684,f378]) ).

fof(f3855,plain,
    ( spl4_173
    | ~ spl4_27
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f735,f679,f385,f3853]) ).

fof(f735,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3)
    | ~ spl4_27
    | ~ spl4_55 ),
    inference(superposition,[],[f386,f680]) ).

fof(f3851,plain,
    ( spl4_172
    | ~ spl4_26
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f726,f679,f381,f3849]) ).

fof(f726,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
    | ~ spl4_26
    | ~ spl4_55 ),
    inference(superposition,[],[f680,f382]) ).

fof(f3843,plain,
    ( spl4_82
    | ~ spl4_171 ),
    inference(avatar_contradiction_clause,[],[f3842]) ).

fof(f3842,plain,
    ( $false
    | spl4_82
    | ~ spl4_171 ),
    inference(trivial_inequality_removal,[],[f3835]) ).

fof(f3835,plain,
    ( vmul(vd517,vd519) != vmul(vd517,vd519)
    | spl4_82
    | ~ spl4_171 ),
    inference(superposition,[],[f1369,f3824]) ).

fof(f1369,plain,
    ( vmul(vd517,vd519) != vmul(vd518,vd519)
    | spl4_82 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f3825,plain,
    ( spl4_171
    | spl4_165
    | spl4_15
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f495,f428,f322,f3269,f3822]) ).

fof(f495,plain,
    ( less(vd517,vd518)
    | vd517 = vd518
    | spl4_15
    | ~ spl4_31 ),
    inference(resolution,[],[f323,f429]) ).

fof(f3819,plain,
    ( ~ spl4_15
    | spl4_89
    | ~ spl4_149 ),
    inference(avatar_split_clause,[],[f3304,f2785,f1413,f322]) ).

fof(f3818,plain,
    ( spl4_170
    | ~ spl4_26
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f722,f679,f381,f3816]) ).

fof(f722,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
    | ~ spl4_26
    | ~ spl4_55 ),
    inference(superposition,[],[f680,f382]) ).

fof(f3814,plain,
    ( spl4_169
    | ~ spl4_25
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f705,f675,f377,f3812]) ).

fof(f705,plain,
    ( ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X2,vmul(X0,X1))
    | ~ spl4_25
    | ~ spl4_54 ),
    inference(superposition,[],[f676,f378]) ).

fof(f3810,plain,
    ( spl4_168
    | ~ spl4_25
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f701,f675,f377,f3808]) ).

fof(f701,plain,
    ( ! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(vmul(X1,X0),X2)
    | ~ spl4_25
    | ~ spl4_54 ),
    inference(superposition,[],[f676,f378]) ).

fof(f3806,plain,
    ( spl4_167
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f557,f499,f297,f3804]) ).

fof(f557,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(X0,vplus(X0,X1)))
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(resolution,[],[f500,f298]) ).

fof(f3802,plain,
    ( spl4_166
    | ~ spl4_12
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f554,f487,f309,f3800]) ).

fof(f554,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0))
    | ~ spl4_12
    | ~ spl4_41 ),
    inference(resolution,[],[f488,f310]) ).

fof(f3272,plain,
    ( ~ spl4_165
    | spl4_81
    | ~ spl4_140 ),
    inference(avatar_split_clause,[],[f2996,f2744,f1363,f3269]) ).

fof(f2996,plain,
    ( ~ less(vd517,vd518)
    | spl4_81
    | ~ spl4_140 ),
    inference(resolution,[],[f2745,f1365]) ).

fof(f2933,plain,
    ( spl4_164
    | ~ spl4_20
    | ~ spl4_134 ),
    inference(avatar_split_clause,[],[f2770,f2350,f344,f2930]) ).

fof(f2770,plain,
    ( greater(vd518,vd519)
    | ~ spl4_20
    | ~ spl4_134 ),
    inference(resolution,[],[f2352,f345]) ).

fof(f2844,plain,
    ( spl4_163
    | ~ spl4_26
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f671,f544,f381,f2842]) ).

fof(f671,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_53 ),
    inference(superposition,[],[f545,f382]) ).

fof(f2840,plain,
    ( spl4_162
    | ~ spl4_26
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f668,f544,f381,f2838]) ).

fof(f668,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_26
    | ~ spl4_53 ),
    inference(superposition,[],[f545,f382]) ).

fof(f2836,plain,
    ( spl4_161
    | ~ spl4_25
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f661,f540,f377,f2834]) ).

fof(f661,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X2,X1),vmul(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_52 ),
    inference(superposition,[],[f541,f378]) ).

fof(f2832,plain,
    ( spl4_160
    | ~ spl4_25
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f657,f540,f377,f2830]) ).

fof(f657,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vmul(X1,X0),vmul(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_25
    | ~ spl4_52 ),
    inference(superposition,[],[f541,f378]) ).

fof(f2828,plain,
    ( spl4_159
    | ~ spl4_26
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f650,f536,f381,f2826]) ).

fof(f650,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_51 ),
    inference(superposition,[],[f537,f382]) ).

fof(f2824,plain,
    ( spl4_158
    | ~ spl4_26
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f647,f536,f381,f2822]) ).

fof(f647,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) )
    | ~ spl4_26
    | ~ spl4_51 ),
    inference(superposition,[],[f537,f382]) ).

fof(f2820,plain,
    ( spl4_157
    | ~ spl4_25
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f641,f527,f377,f2818]) ).

fof(f641,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X2,X1),vmul(X1,X0))
        | less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_50 ),
    inference(superposition,[],[f528,f378]) ).

fof(f2816,plain,
    ( spl4_156
    | ~ spl4_22
    | ~ spl4_134 ),
    inference(avatar_split_clause,[],[f2769,f2350,f352,f2813]) ).

fof(f2769,plain,
    ( leq(vd519,vd518)
    | ~ spl4_22
    | ~ spl4_134 ),
    inference(resolution,[],[f2352,f353]) ).

fof(f2811,plain,
    ( spl4_155
    | ~ spl4_25
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f637,f527,f377,f2809]) ).

fof(f637,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vmul(X1,X0),vmul(X2,X1))
        | less(X0,X2) )
    | ~ spl4_25
    | ~ spl4_50 ),
    inference(superposition,[],[f528,f378]) ).

fof(f2807,plain,
    ( spl4_154
    | ~ spl4_25
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f620,f519,f377,f2805]) ).

fof(f620,plain,
    ( ! [X2,X0,X1] :
        ( vmul(X1,X0) != vmul(X2,X1)
        | X0 = X2 )
    | ~ spl4_25
    | ~ spl4_48 ),
    inference(superposition,[],[f520,f378]) ).

fof(f2803,plain,
    ( spl4_153
    | ~ spl4_26
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f609,f515,f381,f2801]) ).

fof(f609,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_26
    | ~ spl4_47 ),
    inference(superposition,[],[f516,f382]) ).

fof(f2799,plain,
    ( spl4_152
    | ~ spl4_26
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f606,f515,f381,f2797]) ).

fof(f606,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_26
    | ~ spl4_47 ),
    inference(superposition,[],[f516,f382]) ).

fof(f2795,plain,
    ( spl4_151
    | ~ spl4_21
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f605,f515,f348,f2793]) ).

fof(f605,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_47 ),
    inference(resolution,[],[f516,f349]) ).

fof(f2791,plain,
    ( spl4_150
    | ~ spl4_23
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f604,f515,f356,f2789]) ).

fof(f604,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_23
    | ~ spl4_47 ),
    inference(resolution,[],[f516,f357]) ).

fof(f2787,plain,
    ( spl4_149
    | ~ spl4_25
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f598,f511,f377,f2785]) ).

fof(f598,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X2,X1),vmul(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_25
    | ~ spl4_46 ),
    inference(superposition,[],[f512,f378]) ).

fof(f2783,plain,
    ( spl4_148
    | ~ spl4_25
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f594,f511,f377,f2781]) ).

fof(f594,plain,
    ( ! [X2,X0,X1] :
        ( greater(vmul(X1,X0),vmul(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_25
    | ~ spl4_46 ),
    inference(superposition,[],[f512,f378]) ).

fof(f2779,plain,
    ( spl4_147
    | ~ spl4_21
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f591,f511,f348,f2777]) ).

fof(f591,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vmul(X1,X2),vmul(X0,X2)) )
    | ~ spl4_21
    | ~ spl4_46 ),
    inference(resolution,[],[f512,f349]) ).

fof(f2775,plain,
    ( spl4_146
    | ~ spl4_23
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f590,f511,f356,f2773]) ).

fof(f590,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vmul(X0,X2),vmul(X1,X2)) )
    | ~ spl4_23
    | ~ spl4_46 ),
    inference(resolution,[],[f512,f357]) ).

fof(f2766,plain,
    ( spl4_145
    | ~ spl4_26
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f584,f507,f381,f2764]) ).

fof(f584,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_26
    | ~ spl4_45 ),
    inference(superposition,[],[f508,f382]) ).

fof(f2762,plain,
    ( spl4_144
    | ~ spl4_26
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f581,f507,f381,f2760]) ).

fof(f581,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_26
    | ~ spl4_45 ),
    inference(superposition,[],[f508,f382]) ).

fof(f2758,plain,
    ( spl4_143
    | ~ spl4_17
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f580,f507,f332,f2756]) ).

fof(f580,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_17
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f333]) ).

fof(f2754,plain,
    ( spl4_142
    | ~ spl4_20
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f579,f507,f344,f2752]) ).

fof(f579,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_20
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f345]) ).

fof(f2750,plain,
    ( spl4_141
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f578,f507,f352,f2748]) ).

fof(f578,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f353]) ).

fof(f2746,plain,
    ( spl4_140
    | ~ spl4_25
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f570,f503,f377,f2744]) ).

fof(f570,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X2,X1),vmul(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_25
    | ~ spl4_44 ),
    inference(superposition,[],[f504,f378]) ).

fof(f2742,plain,
    ( spl4_139
    | ~ spl4_25
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f566,f503,f377,f2740]) ).

fof(f566,plain,
    ( ! [X2,X0,X1] :
        ( less(vmul(X1,X0),vmul(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_25
    | ~ spl4_44 ),
    inference(superposition,[],[f504,f378]) ).

fof(f2738,plain,
    ( spl4_138
    | ~ spl4_17
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f563,f503,f332,f2736]) ).

fof(f563,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vmul(X0,X2),vmul(X1,X2)) )
    | ~ spl4_17
    | ~ spl4_44 ),
    inference(resolution,[],[f504,f333]) ).

fof(f2734,plain,
    ( spl4_137
    | ~ spl4_20
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f562,f503,f344,f2732]) ).

fof(f562,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vmul(X1,X2),vmul(X0,X2)) )
    | ~ spl4_20
    | ~ spl4_44 ),
    inference(resolution,[],[f504,f345]) ).

fof(f2730,plain,
    ( spl4_136
    | ~ spl4_22
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f561,f503,f352,f2728]) ).

fof(f561,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vmul(X0,X2),vmul(X1,X2)) )
    | ~ spl4_22
    | ~ spl4_44 ),
    inference(resolution,[],[f504,f353]) ).

fof(f2726,plain,
    ( spl4_135
    | ~ spl4_26
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f547,f483,f381,f2724]) ).

fof(f547,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X0) != vplus(X0,X2)
        | X1 = X2 )
    | ~ spl4_26
    | ~ spl4_40 ),
    inference(superposition,[],[f484,f382]) ).

fof(f2353,plain,
    ( spl4_133
    | spl4_134
    | ~ spl4_31
    | spl4_111 ),
    inference(avatar_split_clause,[],[f1948,f1893,f428,f2350,f2346]) ).

fof(f1948,plain,
    ( less(vd519,vd518)
    | vd519 = vd518
    | ~ spl4_31
    | spl4_111 ),
    inference(resolution,[],[f1895,f429]) ).

fof(f1993,plain,
    ( spl4_132
    | ~ spl4_12
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f925,f885,f309,f1991]) ).

fof(f925,plain,
    ( ! [X2,X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(X1,X2)))
    | ~ spl4_12
    | ~ spl4_59 ),
    inference(superposition,[],[f310,f886]) ).

fof(f1988,plain,
    ( spl4_131
    | ~ spl4_11
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f924,f885,f305,f1986]) ).

fof(f924,plain,
    ( ! [X2,X0,X1] : vmul(X0,X1) != vmul(X0,vplus(X1,X2))
    | ~ spl4_11
    | ~ spl4_59 ),
    inference(superposition,[],[f306,f886]) ).

fof(f1984,plain,
    ( spl4_130
    | ~ spl4_9
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f923,f885,f297,f1982]) ).

fof(f923,plain,
    ( ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1))
    | ~ spl4_9
    | ~ spl4_59 ),
    inference(superposition,[],[f298,f886]) ).

fof(f1980,plain,
    ( spl4_129
    | ~ spl4_8
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f922,f885,f293,f1978]) ).

fof(f922,plain,
    ( ! [X2,X0,X1] : vmul(X0,X2) != vmul(X0,vplus(X1,X2))
    | ~ spl4_8
    | ~ spl4_59 ),
    inference(superposition,[],[f294,f886]) ).

fof(f1976,plain,
    ( spl4_128
    | ~ spl4_10
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f845,f696,f301,f1974]) ).

fof(f845,plain,
    ( ! [X0] : vplus(X0,X0) = vmul(X0,vplus(v1,v1))
    | ~ spl4_10
    | ~ spl4_58 ),
    inference(superposition,[],[f697,f302]) ).

fof(f1972,plain,
    ( spl4_127
    | ~ spl4_7
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f844,f696,f289,f1970]) ).

fof(f1970,plain,
    ( spl4_127
  <=> ! [X0] : vplus(X0,v1) = vmul(v1,vplus(v1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_127])]) ).

fof(f844,plain,
    ( ! [X0] : vplus(X0,v1) = vmul(v1,vplus(v1,X0))
    | ~ spl4_7
    | ~ spl4_58 ),
    inference(superposition,[],[f697,f290]) ).

fof(f1968,plain,
    ( spl4_126
    | ~ spl4_27
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f820,f687,f385,f1966]) ).

fof(f1966,plain,
    ( spl4_126
  <=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_126])]) ).

fof(f820,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0
    | ~ spl4_27
    | ~ spl4_57 ),
    inference(superposition,[],[f386,f688]) ).

fof(f1964,plain,
    ( spl4_125
    | ~ spl4_8
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f814,f687,f293,f1962]) ).

fof(f1962,plain,
    ( spl4_125
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_125])]) ).

fof(f814,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1)
    | ~ spl4_8
    | ~ spl4_57 ),
    inference(superposition,[],[f294,f688]) ).

fof(f1960,plain,
    ( spl4_124
    | ~ spl4_27
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f800,f687,f385,f1958]) ).

fof(f800,plain,
    ( ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2)
    | ~ spl4_27
    | ~ spl4_57 ),
    inference(superposition,[],[f386,f688]) ).

fof(f1956,plain,
    ( spl4_123
    | ~ spl4_8
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f796,f687,f293,f1954]) ).

fof(f1954,plain,
    ( spl4_123
  <=> ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_123])]) ).

fof(f796,plain,
    ( ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1))
    | ~ spl4_8
    | ~ spl4_57 ),
    inference(superposition,[],[f294,f688]) ).

fof(f1952,plain,
    ( spl4_122
    | ~ spl4_12
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f762,f683,f309,f1950]) ).

fof(f762,plain,
    ( ! [X0,X1] : less(vmul(X0,X1),vmul(vplus(v1,X0),X1))
    | ~ spl4_12
    | ~ spl4_56 ),
    inference(superposition,[],[f310,f684]) ).

fof(f1947,plain,
    ( spl4_121
    | ~ spl4_11
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f761,f683,f305,f1945]) ).

fof(f761,plain,
    ( ! [X0,X1] : vmul(X0,X1) != vmul(vplus(v1,X0),X1)
    | ~ spl4_11
    | ~ spl4_56 ),
    inference(superposition,[],[f306,f684]) ).

fof(f1943,plain,
    ( spl4_120
    | ~ spl4_9
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f760,f683,f297,f1941]) ).

fof(f760,plain,
    ( ! [X0,X1] : greater(vmul(vplus(v1,X0),X1),vmul(X0,X1))
    | ~ spl4_9
    | ~ spl4_56 ),
    inference(superposition,[],[f298,f684]) ).

fof(f1939,plain,
    ( spl4_119
    | ~ spl4_10
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f753,f683,f301,f1937]) ).

fof(f753,plain,
    ( ! [X0] : vplus(X0,v1) = vmul(vplus(v1,X0),v1)
    | ~ spl4_10
    | ~ spl4_56 ),
    inference(superposition,[],[f684,f302]) ).

fof(f1935,plain,
    ( spl4_118
    | ~ spl4_7
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f752,f683,f289,f1933]) ).

fof(f752,plain,
    ( ! [X0] : vmul(vplus(v1,v1),X0) = vplus(X0,X0)
    | ~ spl4_7
    | ~ spl4_56 ),
    inference(superposition,[],[f684,f290]) ).

fof(f1931,plain,
    ( spl4_117
    | ~ spl4_12
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f732,f679,f309,f1929]) ).

fof(f732,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_12
    | ~ spl4_55 ),
    inference(superposition,[],[f310,f680]) ).

fof(f1927,plain,
    ( spl4_116
    | ~ spl4_11
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f731,f679,f305,f1925]) ).

fof(f731,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
    | ~ spl4_11
    | ~ spl4_55 ),
    inference(superposition,[],[f306,f680]) ).

fof(f1923,plain,
    ( spl4_115
    | ~ spl4_9
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f730,f679,f297,f1921]) ).

fof(f730,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
    | ~ spl4_9
    | ~ spl4_55 ),
    inference(superposition,[],[f298,f680]) ).

fof(f1919,plain,
    ( spl4_114
    | ~ spl4_21
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f467,f428,f348,f1917]) ).

fof(f467,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
    | ~ spl4_21
    | ~ spl4_31 ),
    inference(resolution,[],[f429,f349]) ).

fof(f1915,plain,
    ( spl4_113
    | ~ spl4_23
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f466,f428,f356,f1913]) ).

fof(f466,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) )
    | ~ spl4_23
    | ~ spl4_31 ),
    inference(resolution,[],[f429,f357]) ).

fof(f1900,plain,
    ( ~ spl4_111
    | ~ spl4_112
    | ~ spl4_61
    | spl4_89 ),
    inference(avatar_split_clause,[],[f1795,f1413,f893,f1897,f1893]) ).

fof(f1795,plain,
    ( ~ greater(vd517,vd519)
    | ~ greater(vd519,vd518)
    | ~ spl4_61
    | spl4_89 ),
    inference(resolution,[],[f1415,f894]) ).

fof(f1726,plain,
    ( spl4_110
    | ~ spl4_7
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f659,f540,f289,f1724]) ).

fof(f659,plain,
    ( ! [X0,X1] :
        ( ~ greater(vmul(X1,X0),X0)
        | greater(X1,v1) )
    | ~ spl4_7
    | ~ spl4_52 ),
    inference(superposition,[],[f541,f290]) ).

fof(f1722,plain,
    ( spl4_109
    | ~ spl4_7
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f655,f540,f289,f1720]) ).

fof(f655,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,vmul(X1,X0))
        | greater(v1,X1) )
    | ~ spl4_7
    | ~ spl4_52 ),
    inference(superposition,[],[f541,f290]) ).

fof(f1718,plain,
    ( spl4_108
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f639,f527,f289,f1716]) ).

fof(f639,plain,
    ( ! [X0,X1] :
        ( ~ less(vmul(X1,X0),X0)
        | less(X1,v1) )
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(superposition,[],[f528,f290]) ).

fof(f1714,plain,
    ( spl4_107
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f635,f527,f289,f1712]) ).

fof(f635,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vmul(X1,X0))
        | less(v1,X1) )
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(superposition,[],[f528,f290]) ).

fof(f1710,plain,
    ( spl4_106
    | ~ spl4_10
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f619,f519,f301,f1708]) ).

fof(f619,plain,
    ( ! [X0,X1] :
        ( vmul(X1,v1) != X0
        | X0 = X1 )
    | ~ spl4_10
    | ~ spl4_48 ),
    inference(superposition,[],[f520,f302]) ).

fof(f1706,plain,
    ( ~ spl4_105
    | ~ spl4_25
    | spl4_82 ),
    inference(avatar_split_clause,[],[f1386,f1368,f377,f1703]) ).

fof(f1386,plain,
    ( vmul(vd517,vd519) != vmul(vd519,vd518)
    | ~ spl4_25
    | spl4_82 ),
    inference(superposition,[],[f1369,f378]) ).

fof(f1701,plain,
    ( spl4_104
    | ~ spl4_7
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f618,f519,f289,f1699]) ).

fof(f618,plain,
    ( ! [X0,X1] :
        ( vmul(X1,X0) != X0
        | v1 = X1 )
    | ~ spl4_7
    | ~ spl4_48 ),
    inference(superposition,[],[f520,f290]) ).

fof(f1697,plain,
    ( spl4_103
    | ~ spl4_7
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f596,f511,f289,f1695]) ).

fof(f596,plain,
    ( ! [X0,X1] :
        ( greater(vmul(X1,X0),X0)
        | ~ greater(X1,v1) )
    | ~ spl4_7
    | ~ spl4_46 ),
    inference(superposition,[],[f512,f290]) ).

fof(f1693,plain,
    ( spl4_102
    | ~ spl4_7
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f592,f511,f289,f1691]) ).

fof(f592,plain,
    ( ! [X0,X1] :
        ( greater(X0,vmul(X1,X0))
        | ~ greater(v1,X1) )
    | ~ spl4_7
    | ~ spl4_46 ),
    inference(superposition,[],[f512,f290]) ).

fof(f1689,plain,
    ( spl4_101
    | ~ spl4_29
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f574,f507,f413,f1687]) ).

fof(f574,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,v1),X1) )
    | ~ spl4_29
    | ~ spl4_45 ),
    inference(resolution,[],[f508,f414]) ).

fof(f1685,plain,
    ( spl4_100
    | ~ spl4_7
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f568,f503,f289,f1683]) ).

fof(f568,plain,
    ( ! [X0,X1] :
        ( less(vmul(X1,X0),X0)
        | ~ less(X1,v1) )
    | ~ spl4_7
    | ~ spl4_44 ),
    inference(superposition,[],[f504,f290]) ).

fof(f1681,plain,
    ( spl4_99
    | ~ spl4_7
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f564,f503,f289,f1679]) ).

fof(f564,plain,
    ( ! [X0,X1] :
        ( less(X0,vmul(X1,X0))
        | ~ less(v1,X1) )
    | ~ spl4_7
    | ~ spl4_44 ),
    inference(superposition,[],[f504,f290]) ).

fof(f1677,plain,
    ( spl4_98
    | ~ spl4_27
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f481,f456,f385,f1675]) ).

fof(f481,plain,
    ( ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 )
    | ~ spl4_27
    | ~ spl4_38 ),
    inference(superposition,[],[f386,f457]) ).

fof(f1673,plain,
    ( spl4_97
    | ~ spl4_12
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f474,f444,f309,f1671]) ).

fof(f474,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X1,X2)) )
    | ~ spl4_12
    | ~ spl4_35 ),
    inference(resolution,[],[f445,f310]) ).

fof(f1669,plain,
    ( spl4_96
    | ~ spl4_26
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f425,f413,f381,f1667]) ).

fof(f425,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,vplus(v1,X0))
        | leq(X1,X0) )
    | ~ spl4_26
    | ~ spl4_29 ),
    inference(superposition,[],[f414,f382]) ).

fof(f1665,plain,
    ( spl4_95
    | ~ spl4_26
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f422,f409,f381,f1663]) ).

fof(f422,plain,
    ( ! [X0,X1] :
        ( geq(X1,vplus(v1,X0))
        | ~ greater(X1,X0) )
    | ~ spl4_26
    | ~ spl4_28 ),
    inference(superposition,[],[f410,f382]) ).

fof(f1651,plain,
    ( spl4_94
    | ~ spl4_19
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f421,f409,f340,f1649]) ).

fof(f421,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,X1)
        | leq(vplus(X1,v1),X0) )
    | ~ spl4_19
    | ~ spl4_28 ),
    inference(resolution,[],[f410,f341]) ).

fof(f1514,plain,
    ( spl4_81
    | ~ spl4_25
    | ~ spl4_68
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1311,f1295,f1154,f377,f1363]) ).

fof(f1311,plain,
    ( less(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_25
    | ~ spl4_68
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1309,f378]) ).

fof(f1309,plain,
    ( less(vmul(vd517,vd519),vmul(vd518,vd519))
    | ~ spl4_68
    | ~ spl4_77 ),
    inference(superposition,[],[f1156,f1297]) ).

fof(f1433,plain,
    ( spl4_93
    | ~ spl4_15
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f1131,f499,f322,f1430]) ).

fof(f1131,plain,
    ( vd517 = vplus(vd518,sK3(vd518,vd517))
    | ~ spl4_15
    | ~ spl4_43 ),
    inference(resolution,[],[f324,f500]) ).

fof(f324,plain,
    ( greater(vd517,vd518)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1428,plain,
    ( spl4_92
    | ~ spl4_8
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f854,f696,f293,f1426]) ).

fof(f854,plain,
    ( ! [X0,X1] : vmul(X0,vplus(v1,X1)) != X0
    | ~ spl4_8
    | ~ spl4_58 ),
    inference(superposition,[],[f294,f697]) ).

fof(f1424,plain,
    ( spl4_91
    | ~ spl4_12
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f817,f687,f309,f1422]) ).

fof(f1422,plain,
    ( spl4_91
  <=> ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

fof(f817,plain,
    ( ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1)))
    | ~ spl4_12
    | ~ spl4_57 ),
    inference(superposition,[],[f310,f688]) ).

fof(f1420,plain,
    ( spl4_90
    | ~ spl4_9
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f815,f687,f297,f1418]) ).

fof(f1418,plain,
    ( spl4_90
  <=> ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

fof(f815,plain,
    ( ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0)
    | ~ spl4_9
    | ~ spl4_57 ),
    inference(superposition,[],[f298,f688]) ).

fof(f1416,plain,
    ( ~ spl4_89
    | spl4_1
    | ~ spl4_25
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1310,f1295,f377,f264,f1413]) ).

fof(f1310,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd519,vd518))
    | spl4_1
    | ~ spl4_25
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1303,f378]) ).

fof(f1303,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
    | spl4_1
    | ~ spl4_77 ),
    inference(superposition,[],[f266,f1297]) ).

fof(f1411,plain,
    ( spl4_88
    | ~ spl4_12
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f799,f687,f309,f1409]) ).

fof(f1409,plain,
    ( spl4_88
  <=> ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

fof(f799,plain,
    ( ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1)))
    | ~ spl4_12
    | ~ spl4_57 ),
    inference(superposition,[],[f310,f688]) ).

fof(f1407,plain,
    ( spl4_87
    | ~ spl4_9
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f797,f687,f297,f1405]) ).

fof(f797,plain,
    ( ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1)
    | ~ spl4_9
    | ~ spl4_57 ),
    inference(superposition,[],[f298,f688]) ).

fof(f1403,plain,
    ( spl4_86
    | ~ spl4_8
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f759,f683,f293,f1401]) ).

fof(f759,plain,
    ( ! [X0,X1] : vmul(vplus(v1,X0),X1) != X1
    | ~ spl4_8
    | ~ spl4_56 ),
    inference(superposition,[],[f294,f684]) ).

fof(f1399,plain,
    ( spl4_85
    | ~ spl4_8
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f729,f679,f293,f1397]) ).

fof(f729,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
    | ~ spl4_8
    | ~ spl4_55 ),
    inference(superposition,[],[f294,f680]) ).

fof(f1395,plain,
    ( spl4_84
    | ~ spl4_8
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f477,f456,f293,f1393]) ).

fof(f1393,plain,
    ( spl4_84
  <=> ! [X0] :
        ( vskolem2(X0) != X0
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

fof(f477,plain,
    ( ! [X0] :
        ( vskolem2(X0) != X0
        | v1 = X0 )
    | ~ spl4_8
    | ~ spl4_38 ),
    inference(superposition,[],[f294,f457]) ).

fof(f1391,plain,
    ( spl4_83
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f406,f385,f381,f1389]) ).

fof(f406,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(superposition,[],[f386,f382]) ).

fof(f1371,plain,
    ( spl4_82
    | ~ spl4_67
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1361,f1295,f1150,f1368]) ).

fof(f1361,plain,
    ( vmul(vd517,vd519) = vmul(vd518,vd519)
    | ~ spl4_67
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1152,f1297]) ).

fof(f1366,plain,
    ( ~ spl4_81
    | ~ spl4_25
    | spl4_68
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1337,f1295,f1154,f377,f1363]) ).

fof(f1337,plain,
    ( ~ less(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_25
    | spl4_68
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1336,f378]) ).

fof(f1336,plain,
    ( ~ less(vmul(vd517,vd519),vmul(vd518,vd519))
    | spl4_68
    | ~ spl4_77 ),
    inference(forward_demodulation,[],[f1155,f1297]) ).

fof(f1332,plain,
    ( spl4_80
    | ~ spl4_22
    | ~ spl4_68 ),
    inference(avatar_split_clause,[],[f1283,f1154,f352,f1329]) ).

fof(f1329,plain,
    ( spl4_80
  <=> leq(vmul(vd517,vd519),vmul(vd518,vd520)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f1283,plain,
    ( leq(vmul(vd517,vd519),vmul(vd518,vd520))
    | ~ spl4_22
    | ~ spl4_68 ),
    inference(resolution,[],[f1156,f353]) ).

fof(f1327,plain,
    ( spl4_79
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f404,f385,f381,f1325]) ).

fof(f404,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
    | ~ spl4_26
    | ~ spl4_27 ),
    inference(superposition,[],[f386,f382]) ).

fof(f1302,plain,
    ( spl4_77
    | spl4_78
    | spl4_13
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f1135,f428,f313,f1299,f1295]) ).

fof(f1135,plain,
    ( less(vd519,vd520)
    | vd519 = vd520
    | spl4_13
    | ~ spl4_31 ),
    inference(resolution,[],[f314,f429]) ).

fof(f314,plain,
    ( ~ greater(vd519,vd520)
    | spl4_13 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1293,plain,
    ( spl4_76
    | ~ spl4_12
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f480,f456,f309,f1291]) ).

fof(f480,plain,
    ( ! [X0] :
        ( less(v1,X0)
        | v1 = X0 )
    | ~ spl4_12
    | ~ spl4_38 ),
    inference(superposition,[],[f310,f457]) ).

fof(f1289,plain,
    ( spl4_75
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f469,f436,f269,f1287]) ).

fof(f469,plain,
    ( ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 )
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(resolution,[],[f437,f270]) ).

fof(f1280,plain,
    ( spl4_74
    | ~ spl4_44
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f1159,f1150,f503,f1278]) ).

fof(f1278,plain,
    ( spl4_74
  <=> ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f1159,plain,
    ( ! [X0] :
        ( less(vmul(vd517,vd519),vmul(X0,vd520))
        | ~ less(vd518,X0) )
    | ~ spl4_44
    | ~ spl4_67 ),
    inference(superposition,[],[f504,f1152]) ).

fof(f1200,plain,
    ( spl4_73
    | ~ spl4_9
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f398,f381,f297,f1198]) ).

fof(f398,plain,
    ( ! [X0,X1] : greater(vplus(X1,X0),X0)
    | ~ spl4_9
    | ~ spl4_26 ),
    inference(superposition,[],[f298,f382]) ).

fof(f1196,plain,
    ( spl4_72
    | ~ spl4_12
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f396,f381,f309,f1194]) ).

fof(f396,plain,
    ( ! [X0,X1] : less(X0,vplus(X1,X0))
    | ~ spl4_12
    | ~ spl4_26 ),
    inference(superposition,[],[f310,f382]) ).

fof(f1192,plain,
    ( spl4_71
    | ~ spl4_9
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f373,f356,f297,f1190]) ).

fof(f373,plain,
    ( ! [X0,X1] : geq(vplus(X0,X1),X0)
    | ~ spl4_9
    | ~ spl4_23 ),
    inference(resolution,[],[f357,f298]) ).

fof(f1188,plain,
    ( spl4_70
    | ~ spl4_12
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f372,f352,f309,f1186]) ).

fof(f372,plain,
    ( ! [X0,X1] : leq(X0,vplus(X0,X1))
    | ~ spl4_12
    | ~ spl4_22 ),
    inference(resolution,[],[f353,f310]) ).

fof(f1184,plain,
    ( spl4_69
    | ~ spl4_12
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f359,f332,f309,f1182]) ).

fof(f359,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X0,X1))
    | ~ spl4_12
    | ~ spl4_17 ),
    inference(resolution,[],[f333,f310]) ).

fof(f1157,plain,
    ( spl4_67
    | spl4_68
    | spl4_1
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f464,f428,f264,f1154,f1150]) ).

fof(f464,plain,
    ( less(vmul(vd517,vd519),vmul(vd518,vd520))
    | vmul(vd517,vd519) = vmul(vd518,vd520)
    | spl4_1
    | ~ spl4_31 ),
    inference(resolution,[],[f429,f266]) ).

fof(f1136,plain,
    ( spl4_16
    | ~ spl4_15
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f375,f356,f322,f327]) ).

fof(f375,plain,
    ( geq(vd517,vd518)
    | ~ spl4_15
    | ~ spl4_23 ),
    inference(resolution,[],[f357,f324]) ).

fof(f1134,plain,
    ( ~ spl4_13
    | ~ spl4_15
    | spl4_1
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f972,f893,f264,f322,f313]) ).

fof(f972,plain,
    ( ~ greater(vd517,vd518)
    | ~ greater(vd519,vd520)
    | spl4_1
    | ~ spl4_61 ),
    inference(resolution,[],[f894,f266]) ).

fof(f1130,plain,
    ( spl4_66
    | ~ spl4_16
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f497,f340,f327,f1127]) ).

fof(f497,plain,
    ( leq(vd518,vd517)
    | ~ spl4_16
    | ~ spl4_19 ),
    inference(resolution,[],[f329,f341]) ).

fof(f1063,plain,
    spl4_65,
    inference(avatar_split_clause,[],[f197,f1061]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( vplus(X0,sK0(X0,X1)) = X1
      | vplus(X1,sK1(X0,X1)) = X0
      | X0 = X1 ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( vplus(X0,sK0(X0,X1)) = X1
      | vplus(X1,sK1(X0,X1)) = X0
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f82,f156,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
     => vplus(X0,sK0(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK1(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
      | ? [X3] : vplus(X1,X3) = X0
      | X0 = X1 ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X87,X88] :
      ( ? [X90] : vplus(X87,X90) = X88
      | ? [X89] : vplus(X88,X89) = X87
      | X87 = X88 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof(f907,plain,
    spl4_64,
    inference(avatar_split_clause,[],[f241,f905]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ geq(X2,X3) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ( ( ~ greater(X0,X1)
          | ~ geq(X2,X3) )
        & ( ~ geq(X0,X1)
          | ~ greater(X2,X3) ) ) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( greater(X0,X1)
          & geq(X2,X3) )
        | ( geq(X0,X1)
          & greater(X2,X3) ) )
     => greater(vplus(X0,X2),vplus(X1,X3)) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X42,X43,X44,X45] :
      ( ( ( greater(X42,X43)
          & geq(X44,X45) )
        | ( geq(X42,X43)
          & greater(X44,X45) ) )
     => greater(vplus(X42,X44),vplus(X43,X45)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).

fof(f903,plain,
    spl4_63,
    inference(avatar_split_clause,[],[f240,f901]) ).

fof(f240,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ geq(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f899,plain,
    spl4_62,
    inference(avatar_split_clause,[],[f239,f897]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( ( greater(X0,X1)
        & greater(X2,X3) )
     => greater(vplus(X0,X2),vplus(X1,X3)) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X46,X47,X48,X49] :
      ( ( greater(X46,X47)
        & greater(X48,X49) )
     => greater(vplus(X46,X48),vplus(X47,X49)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).

fof(f895,plain,
    spl4_61,
    inference(avatar_split_clause,[],[f238,f893]) ).

fof(f238,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(flattening,[],[f150]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( ( greater(X0,X1)
        & greater(X2,X3) )
     => greater(vmul(X0,X2),vmul(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(312, 0), 0)') ).

fof(f891,plain,
    spl4_60,
    inference(avatar_split_clause,[],[f237,f889]) ).

fof(f237,plain,
    ! [X2,X3,X0,X1] :
      ( geq(vplus(X0,X2),vplus(X1,X3))
      | ~ geq(X0,X1)
      | ~ geq(X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3] :
      ( geq(vplus(X0,X2),vplus(X1,X3))
      | ~ geq(X0,X1)
      | ~ geq(X2,X3) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3] :
      ( geq(vplus(X0,X2),vplus(X1,X3))
      | ~ geq(X0,X1)
      | ~ geq(X2,X3) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( ( geq(X0,X1)
        & geq(X2,X3) )
     => geq(vplus(X0,X2),vplus(X1,X3)) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X38,X39,X40,X41] :
      ( ( geq(X38,X39)
        & geq(X40,X41) )
     => geq(vplus(X38,X40),vplus(X39,X41)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).

fof(f887,plain,
    spl4_59,
    inference(avatar_split_clause,[],[f220,f885]) ).

fof(f220,plain,
    ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X23,X24,X25] : vmul(X23,vplus(X24,X25)) = vplus(vmul(X23,X24),vmul(X23,X25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).

fof(f698,plain,
    spl4_58,
    inference(avatar_split_clause,[],[f249,f696]) ).

fof(f249,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f189,f179]) ).

fof(f179,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X100] : vplus(v1,X100) = vsucc(X100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f189,plain,
    ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( vmul(X0,v1) = X0
      & vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X31,X32] :
      ( vmul(X31,v1) = X31
      & vmul(X31,vsucc(X32)) = vplus(vmul(X31,X32),X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(f689,plain,
    spl4_57,
    inference(avatar_split_clause,[],[f248,f687]) ).

fof(f248,plain,
    ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f187,f179,f179]) ).

fof(f187,plain,
    ! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f55]) ).

fof(f55,axiom,
    ! [X104,X105] :
      ( vplus(X104,v1) = vsucc(X104)
      & vplus(X104,vsucc(X105)) = vsucc(vplus(X104,X105)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f685,plain,
    spl4_56,
    inference(avatar_split_clause,[],[f246,f683]) ).

fof(f246,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X1) = vmul(vplus(v1,X0),X1),
    inference(definition_unfolding,[],[f186,f179]) ).

fof(f186,plain,
    ! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X28,X29] : vmul(vsucc(X28),X29) = vplus(vmul(X28,X29),X29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).

fof(f681,plain,
    spl4_55,
    inference(avatar_split_clause,[],[f219,f679]) ).

fof(f677,plain,
    spl4_54,
    inference(avatar_split_clause,[],[f218,f675]) ).

fof(f218,plain,
    ! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X20,X21,X22] : vmul(vmul(X20,X21),X22) = vmul(X20,vmul(X21,X22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).

fof(f546,plain,
    spl4_53,
    inference(avatar_split_clause,[],[f232,f544]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
     => greater(X0,X1) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X50,X51,X52] :
      ( greater(vplus(X50,X52),vplus(X51,X52))
     => greater(X50,X51) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).

fof(f542,plain,
    spl4_52,
    inference(avatar_split_clause,[],[f231,f540]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X2)
      | ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X0,X1),vmul(X2,X1))
     => greater(X0,X2) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X10,X11,X12] :
      ( greater(vmul(X10,X11),vmul(X12,X11))
     => greater(X10,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).

fof(f538,plain,
    spl4_51,
    inference(avatar_split_clause,[],[f230,f536]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
     => less(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X50,X51,X52] :
      ( less(vplus(X50,X52),vplus(X51,X52))
     => less(X50,X51) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).

fof(f529,plain,
    spl4_50,
    inference(avatar_split_clause,[],[f229,f527]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(vmul(X0,X1),vmul(X2,X1)) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(vmul(X0,X1),vmul(X2,X1)) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( less(vmul(X0,X1),vmul(X2,X1))
     => less(X0,X2) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X4,X5,X6] :
      ( less(vmul(X4,X5),vmul(X6,X5))
     => less(X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).

fof(f525,plain,
    spl4_49,
    inference(avatar_split_clause,[],[f228,f523]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( vplus(X0,X2) = vplus(X1,X2)
     => X0 = X1 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X50,X51,X52] :
      ( vplus(X50,X52) = vplus(X51,X52)
     => X50 = X51 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).

fof(f521,plain,
    spl4_48,
    inference(avatar_split_clause,[],[f227,f519]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | vmul(X0,X1) != vmul(X2,X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | vmul(X0,X1) != vmul(X2,X1) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( vmul(X0,X1) = vmul(X2,X1)
     => X0 = X2 ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X7,X8,X9] :
      ( vmul(X7,X8) = vmul(X9,X8)
     => X7 = X9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)') ).

fof(f517,plain,
    spl4_47,
    inference(avatar_split_clause,[],[f226,f515]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
     => greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X53,X54,X55] :
      ( greater(X53,X54)
     => greater(vplus(X53,X55),vplus(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof(f513,plain,
    spl4_46,
    inference(avatar_split_clause,[],[f225,f511]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( greater(X1,X2)
     => greater(vmul(X1,X0),vmul(X2,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X13,X18,X19] :
      ( greater(X18,X19)
     => greater(vmul(X18,X13),vmul(X19,X13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).

fof(f509,plain,
    spl4_45,
    inference(avatar_split_clause,[],[f224,f507]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
     => less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X53,X54,X55] :
      ( less(X53,X54)
     => less(vplus(X53,X55),vplus(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof(f505,plain,
    spl4_44,
    inference(avatar_split_clause,[],[f223,f503]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( less(vmul(X1,X0),vmul(X2,X0))
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( less(vmul(X1,X0),vmul(X2,X0))
      | ~ less(X1,X2) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( less(X1,X2)
     => less(vmul(X1,X0),vmul(X2,X0)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X13,X14,X15] :
      ( less(X14,X15)
     => less(vmul(X14,X13),vmul(X15,X13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).

fof(f501,plain,
    spl4_43,
    inference(avatar_split_clause,[],[f216,f499]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( vplus(X0,sK3(X0,X1)) = X1
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK3(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f167,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK3(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X84,X85] :
      ( greater(X85,X84)
    <=> ? [X86] : vplus(X84,X86) = X85 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f494,plain,
    ( spl4_42
    | ~ spl4_15
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f367,f348,f322,f491]) ).

fof(f367,plain,
    ( less(vd518,vd517)
    | ~ spl4_15
    | ~ spl4_21 ),
    inference(resolution,[],[f349,f324]) ).

fof(f489,plain,
    spl4_41,
    inference(avatar_split_clause,[],[f214,f487]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( vplus(X1,sK2(X0,X1)) = X0
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( vplus(X1,sK2(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f163,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK2(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X3] : vplus(X1,X3) = X0
        | ~ less(X1,X0) ) ),
    inference(rectify,[],[f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( less(X1,X0)
    <=> ? [X2] : vplus(X1,X2) = X0 ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X81,X82] :
      ( less(X82,X81)
    <=> ? [X83] : vplus(X82,X83) = X81 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof(f485,plain,
    spl4_40,
    inference(avatar_split_clause,[],[f200,f483]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( X0 != X1
     => ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X91,X92] :
      ( X91 != X92
     => ! [X93] : vplus(X93,X91) != vplus(X93,X92) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof(f463,plain,
    ( spl4_39
    | ~ spl4_13
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f366,f348,f313,f460]) ).

fof(f366,plain,
    ( less(vd520,vd519)
    | ~ spl4_13
    | ~ spl4_21 ),
    inference(resolution,[],[f349,f315]) ).

fof(f458,plain,
    spl4_38,
    inference(avatar_split_clause,[],[f244,f456]) ).

fof(f244,plain,
    ! [X0] :
      ( vplus(v1,vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(definition_unfolding,[],[f180,f179]) ).

fof(f180,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( v1 != X0
     => vsucc(vskolem2(X0)) = X0 ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X106] :
      ( v1 != X106
     => vsucc(vskolem2(X106)) = X106 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof(f454,plain,
    spl4_37,
    inference(avatar_split_clause,[],[f236,f452]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ leq(X1,X2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ( ( ~ less(X0,X1)
          | ~ leq(X1,X2) )
        & ( ~ leq(X0,X1)
          | ~ less(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( ( less(X0,X1)
          & leq(X1,X2) )
        | ( leq(X0,X1)
          & less(X1,X2) ) )
     => less(X0,X2) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X61,X62,X63] :
      ( ( ( less(X61,X62)
          & leq(X62,X63) )
        | ( leq(X61,X62)
          & less(X62,X63) ) )
     => less(X61,X63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).

fof(f450,plain,
    spl4_36,
    inference(avatar_split_clause,[],[f235,f448]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ leq(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f446,plain,
    spl4_35,
    inference(avatar_split_clause,[],[f234,f444]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(flattening,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ( less(X0,X1)
        & less(X1,X2) )
     => less(X0,X2) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X64,X65,X66] :
      ( ( less(X64,X65)
        & less(X65,X66) )
     => less(X64,X66) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).

fof(f442,plain,
    spl4_34,
    inference(avatar_split_clause,[],[f233,f440]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(flattening,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( leq(X0,X1)
        & leq(X1,X2) )
     => leq(X0,X2) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X58,X59,X60] :
      ( ( leq(X58,X59)
        & leq(X59,X60) )
     => leq(X58,X60) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).

fof(f438,plain,
    spl4_33,
    inference(avatar_split_clause,[],[f211,f436]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X1,X0)
      | ~ geq(X1,X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
    <=> ( X0 = X1
        | greater(X1,X0) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X73,X74] :
      ( geq(X74,X73)
    <=> ( X73 = X74
        | greater(X74,X73) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f434,plain,
    spl4_32,
    inference(avatar_split_clause,[],[f208,f432]) ).

fof(f432,plain,
    ( spl4_32
  <=> ! [X0,X1] :
        ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X1,X0)
      | ~ leq(X1,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
    <=> ( X0 = X1
        | less(X1,X0) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X71,X72] :
      ( leq(X72,X71)
    <=> ( X71 = X72
        | less(X72,X71) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).

fof(f430,plain,
    spl4_31,
    inference(avatar_split_clause,[],[f196,f428]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X79,X80] :
      ( less(X79,X80)
      | greater(X79,X80)
      | X79 = X80 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f420,plain,
    ( spl4_30
    | ~ spl4_14
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f363,f340,f317,f417]) ).

fof(f363,plain,
    ( leq(vd520,vd519)
    | ~ spl4_14
    | ~ spl4_19 ),
    inference(resolution,[],[f341,f319]) ).

fof(f415,plain,
    spl4_29,
    inference(avatar_split_clause,[],[f207,f413]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ less(X0,vplus(X1,v1)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ less(X0,vplus(X1,v1)) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( less(X0,vplus(X1,v1))
     => leq(X0,X1) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X33,X34] :
      ( less(X33,vplus(X34,v1))
     => leq(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).

fof(f411,plain,
    spl4_28,
    inference(avatar_split_clause,[],[f205,f409]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( geq(X0,vplus(X1,v1))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( geq(X0,vplus(X1,v1))
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => geq(X0,vplus(X1,v1)) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X35,X36] :
      ( greater(X35,X36)
     => geq(X35,vplus(X36,v1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).

fof(f387,plain,
    spl4_27,
    inference(avatar_split_clause,[],[f256,f385]) ).

fof(f256,plain,
    ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
    inference(equality_resolution,[],[f198]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1] :
      ( vplus(X0,X2) != X1
      | vplus(X1,X3) != X0 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | ! [X3] : vplus(X1,X3) != X0 ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X0,X2) = X1
      | ~ ? [X3] : vplus(X1,X3) = X0 ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X87,X88] :
      ( ~ ? [X90] : vplus(X87,X90) = X88
      | ~ ? [X89] : vplus(X88,X89) = X87 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof(f383,plain,
    spl4_26,
    inference(avatar_split_clause,[],[f184,f381]) ).

fof(f184,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X96,X97] : vplus(X97,X96) = vplus(X96,X97),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f379,plain,
    spl4_25,
    inference(avatar_split_clause,[],[f183,f377]) ).

fof(f183,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X26,X27] : vmul(X26,X27) = vmul(X27,X26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof(f371,plain,
    ( spl4_24
    | ~ spl4_2
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f361,f340,f269,f369]) ).

fof(f361,plain,
    ( ! [X0] : leq(v1,X0)
    | ~ spl4_2
    | ~ spl4_19 ),
    inference(resolution,[],[f341,f270]) ).

fof(f358,plain,
    spl4_23,
    inference(avatar_split_clause,[],[f212,f356]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f354,plain,
    spl4_22,
    inference(avatar_split_clause,[],[f209,f352]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f350,plain,
    spl4_21,
    inference(avatar_split_clause,[],[f204,f348]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X77,X78] :
      ( greater(X77,X78)
     => less(X78,X77) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof(f346,plain,
    spl4_20,
    inference(avatar_split_clause,[],[f203,f344]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X75,X76] :
      ( less(X75,X76)
     => greater(X76,X75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof(f342,plain,
    spl4_19,
    inference(avatar_split_clause,[],[f202,f340]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X69,X70] :
      ( geq(X69,X70)
     => leq(X70,X69) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).

fof(f338,plain,
    spl4_18,
    inference(avatar_split_clause,[],[f201,f336]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
     => geq(X1,X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X67,X68] :
      ( leq(X67,X68)
     => geq(X68,X67) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).

fof(f334,plain,
    spl4_17,
    inference(avatar_split_clause,[],[f195,f332]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X79,X80] :
      ( ~ less(X79,X80)
      | ~ greater(X79,X80) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f330,plain,
    ( spl4_16
    | spl4_15 ),
    inference(avatar_split_clause,[],[f174,f322,f327]) ).

fof(f174,plain,
    ( greater(vd517,vd518)
    | geq(vd517,vd518) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( greater(vd517,vd518)
      & geq(vd519,vd520) )
    | ( geq(vd517,vd518)
      & greater(vd519,vd520) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).

fof(f325,plain,
    ( spl4_13
    | spl4_15 ),
    inference(avatar_split_clause,[],[f173,f322,f313]) ).

fof(f173,plain,
    ( greater(vd517,vd518)
    | greater(vd519,vd520) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f320,plain,
    ( spl4_13
    | spl4_14 ),
    inference(avatar_split_clause,[],[f171,f317,f313]) ).

fof(f171,plain,
    ( geq(vd519,vd520)
    | greater(vd519,vd520) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f311,plain,
    spl4_12,
    inference(avatar_split_clause,[],[f259,f309]) ).

fof(f259,plain,
    ! [X2,X1] : less(X1,vplus(X1,X2)),
    inference(equality_resolution,[],[f215]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( less(X1,X0)
      | vplus(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f307,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f254,f305]) ).

fof(f254,plain,
    ! [X2,X0] : vplus(X0,X2) != X0,
    inference(equality_resolution,[],[f193]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X0,X2) = X1
      | X0 != X1 ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X87,X88] :
      ( ~ ? [X90] : vplus(X87,X90) = X88
      | X87 != X88 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

fof(f303,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f190,f301]) ).

fof(f190,plain,
    ! [X0] : vmul(X0,v1) = X0,
    inference(cnf_transformation,[],[f75]) ).

fof(f299,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f182,f297]) ).

fof(f182,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X56,X57] : greater(vplus(X56,X57),X56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

fof(f295,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f181,f293]) ).

fof(f181,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X94,X95] : vplus(X94,X95) != X95,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).

fof(f291,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f178,f289]) ).

fof(f178,plain,
    ! [X0] : vmul(v1,X0) = X0,
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] : vmul(v1,X0) = X0,
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X30] : vmul(v1,X30) = X30,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).

fof(f287,plain,
    spl4_6,
    inference(avatar_split_clause,[],[f258,f285]) ).

fof(f285,plain,
    ( spl4_6
  <=> ! [X1] : geq(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f258,plain,
    ! [X1] : geq(X1,X1),
    inference(equality_resolution,[],[f213]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f283,plain,
    spl4_5,
    inference(avatar_split_clause,[],[f257,f281]) ).

fof(f257,plain,
    ! [X1] : leq(X1,X1),
    inference(equality_resolution,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f279,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f253,f277]) ).

fof(f253,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X79,X80] :
      ( ~ greater(X79,X80)
      | X79 != X80 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof(f275,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f252,f273]) ).

fof(f252,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X79,X80] :
      ( ~ less(X79,X80)
      | X79 != X80 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof(f271,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f175,f269]) ).

fof(f175,plain,
    ! [X0] : geq(X0,v1),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] : geq(X0,v1),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X37] : geq(X37,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).

fof(f267,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f170,f264]) ).

fof(f170,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(scope(318)), 525, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 23:50:19 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (9981)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (9984)WARNING: value z3 for option sas not known
% 0.15/0.38  % (9985)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (9982)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (9987)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)
% 0.15/0.38  % (9986)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)
% 0.15/0.38  % (9983)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (9988)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)
% 0.15/0.38  % (9984)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)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.22/0.42  TRYING [4]
% 0.22/0.43  TRYING [3]
% 0.22/0.48  TRYING [5]
% 0.22/0.53  TRYING [4]
% 0.22/0.57  TRYING [6]
% 1.95/0.68  TRYING [5]
% 2.96/0.78  TRYING [7]
% 4.58/1.01  TRYING [6]
% 6.16/1.23  TRYING [8]
% 7.81/1.48  TRYING [1]
% 7.81/1.48  TRYING [2]
% 7.81/1.49  TRYING [3]
% 7.81/1.50  TRYING [4]
% 8.05/1.53  TRYING [5]
% 8.29/1.61  TRYING [6]
% 10.39/1.84  TRYING [7]
% 12.13/2.11  TRYING [7]
% 13.05/2.27  TRYING [9]
% 13.60/2.31  TRYING [8]
% 19.94/3.24  TRYING [9]
% 28.28/4.46  TRYING [10]
% 31.08/4.79  TRYING [8]
% 34.25/5.25  TRYING [10]
% 52.49/7.86  TRYING [11]
% 59.53/8.89  TRYING [9]
% 60.96/9.07  TRYING [11]
% 91.06/13.37  % (9986)First to succeed.
% 91.75/13.42  % (9986)Refutation found. Thanks to Tanya!
% 91.75/13.42  % SZS status Theorem for theBenchmark
% 91.75/13.42  % SZS output start Proof for theBenchmark
% See solution above
% 91.75/13.44  % (9986)------------------------------
% 91.75/13.44  % (9986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 91.75/13.44  % (9986)Termination reason: Refutation
% 91.75/13.44  
% 91.75/13.44  % (9986)Memory used [KB]: 59989
% 91.75/13.44  % (9986)Time elapsed: 13.027 s
% 91.75/13.44  % (9986)Instructions burned: 38250 (million)
% 91.75/13.44  % (9986)------------------------------
% 91.75/13.44  % (9986)------------------------------
% 91.75/13.44  % (9981)Success in time 12.913 s
%------------------------------------------------------------------------------