TSTP Solution File: SWV275-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.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 : Sat Sep  2 12:58:38 EDT 2023

% Result   : Unsatisfiable 18.36s 3.03s
% Output   : Refutation 18.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  693
% Syntax   : Number of formulae    : 2598 (  12 unt;   0 def)
%            Number of atoms       : 9805 (1520 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives : 11735 (4528   ~;6523   |;   0   &)
%                                         ( 684 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  688 ( 686 usr; 685 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   : 6950 (;6950   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21210,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f18,f22,f26,f30,f34,f38,f46,f51,f58,f63,f71,f75,f81,f89,f102,f108,f118,f122,f126,f135,f141,f145,f163,f169,f179,f199,f203,f211,f215,f221,f232,f247,f260,f269,f273,f280,f284,f288,f292,f296,f340,f367,f376,f380,f402,f406,f410,f414,f459,f468,f472,f479,f495,f502,f509,f544,f548,f555,f562,f566,f576,f583,f587,f622,f673,f677,f681,f685,f689,f693,f743,f770,f790,f794,f798,f843,f847,f851,f855,f897,f901,f926,f930,f934,f938,f964,f968,f972,f997,f1001,f1005,f1009,f1013,f1045,f1049,f1082,f1089,f1093,f1097,f1101,f1105,f1156,f1160,f1164,f1168,f1172,f1224,f1231,f1235,f1239,f1243,f1247,f1380,f1384,f1423,f1437,f1441,f1445,f1449,f1453,f1457,f1461,f1465,f1469,f1602,f1623,f1627,f1631,f1635,f1639,f1643,f1647,f1651,f1655,f1887,f1891,f1895,f1899,f1903,f2046,f2050,f2054,f2058,f2062,f2170,f2174,f2178,f2182,f2186,f2194,f2198,f2202,f2341,f2345,f2349,f2353,f2357,f2361,f2365,f2608,f2612,f2718,f2726,f2747,f2751,f2755,f2759,f2763,f2887,f2891,f2895,f2899,f3048,f3056,f3060,f3064,f3087,f3126,f3134,f3138,f3142,f3172,f3176,f3194,f3209,f3217,f3235,f3239,f3243,f3247,f3251,f3302,f3347,f3351,f3602,f3621,f3625,f3629,f3772,f3840,f3844,f3977,f3981,f3985,f3989,f3993,f4038,f4098,f4102,f4198,f4279,f4283,f4287,f4330,f4334,f4355,f4376,f4380,f4505,f4509,f4513,f4517,f4526,f4553,f4557,f4584,f4588,f4610,f4619,f4623,f4637,f4646,f4655,f4659,f4663,f4677,f4681,f4685,f4689,f4708,f4717,f4818,f4960,f4970,f4974,f4978,f4982,f5118,f5122,f5126,f5148,f5278,f5282,f5286,f5380,f5476,f5486,f5490,f5494,f5522,f5644,f5660,f5664,f5668,f5690,f5786,f5802,f5944,f6068,f6072,f6274,f6376,f6518,f6652,f6656,f6660,f6751,f6755,f6759,f6763,f6767,f6771,f6775,f6779,f6783,f6787,f6791,f6795,f7105,f7137,f7141,f7145,f7149,f7432,f7436,f7440,f7444,f7448,f7452,f7456,f7460,f7464,f7468,f7802,f7806,f7810,f7814,f7818,f7822,f7947,f7951,f7955,f7959,f7963,f7967,f7971,f7975,f7979,f7983,f8427,f8431,f8435,f8439,f8443,f8447,f8451,f8455,f8459,f8463,f8467,f8471,f8475,f8527,f8531,f8535,f8539,f8543,f8547,f8699,f9085,f9089,f9093,f9097,f9101,f9105,f9114,f9118,f9122,f9126,f9130,f9134,f9138,f9142,f9146,f9534,f9538,f9542,f9546,f9550,f9554,f9558,f9562,f9567,f9571,f9575,f9579,f9583,f9587,f9591,f9595,f9599,f9603,f9607,f9617,f9621,f9625,f9629,f9633,f9637,f9641,f9645,f9649,f9758,f10357,f10421,f10425,f10429,f10433,f10445,f10449,f10453,f10457,f10461,f10465,f10469,f10473,f10477,f10481,f10486,f10490,f10494,f10498,f10502,f10506,f10510,f10514,f10518,f11077,f11208,f11212,f11216,f11220,f11224,f11228,f11232,f11236,f11240,f11244,f11245,f11249,f11253,f11257,f11261,f11265,f11269,f11273,f11277,f11281,f11285,f11297,f11301,f11305,f11309,f11313,f11317,f11321,f11325,f11329,f11333,f11349,f11353,f11357,f11361,f11975,f12273,f12530,f12534,f12543,f12547,f12551,f12555,f12559,f12563,f12567,f12571,f12575,f12579,f12583,f12590,f12594,f12598,f12602,f12606,f12610,f12614,f12618,f12622,f12626,f12631,f12635,f12639,f12643,f12647,f12651,f12655,f12659,f12663,f12667,f12671,f12675,f12679,f12683,f12687,f13664,f13861,f13865,f13869,f13873,f13877,f13881,f13885,f13889,f13893,f13897,f13907,f13911,f13915,f13919,f13923,f13927,f13931,f13935,f13939,f13943,f13954,f13958,f13962,f13966,f13970,f13974,f13978,f13982,f13986,f13990,f13995,f13999,f14003,f14007,f14011,f14015,f14019,f15544,f15577,f15581,f15585,f15589,f15593,f15597,f15601,f15605,f15617,f15621,f15625,f15629,f15633,f15637,f15641,f15645,f15649,f15653,f15664,f15668,f15672,f15676,f15680,f15684,f15688,f15692,f15696,f15700,f15711,f15715,f15719,f15723,f15727,f15731,f15735,f15739,f15743,f15747,f15751,f15755,f15759,f15763,f15767,f16860,f16964,f16968,f16972,f16976,f16983,f16987,f16991,f16995,f16999,f17003,f17007,f17011,f17015,f17019,f17023,f17027,f17031,f17035,f17039,f17043,f17047,f17051,f17055,f17059,f17060,f17064,f17068,f17072,f17076,f17080,f17084,f17088,f19000,f19004,f19009,f19013,f19017,f19021,f19025,f19029,f19033,f19037,f19041,f19045,f19049,f19068,f19072,f19076,f19080,f19084,f19088,f19092,f19096,f19100,f19104,f19105,f19115,f19119,f19123,f19127,f19131,f19135,f19139,f19143,f19147,f19151,f19166,f19170,f19174,f19178,f19182,f19186,f19190,f19194,f19198,f19202,f19213,f19217,f19221,f19225,f19229,f19233,f19237,f19241,f19245,f19249,f20113,f20681,f21036,f21074,f21078,f21082,f21086,f21090,f21094,f21098,f21102,f21118,f21122,f21126,f21130,f21134,f21138,f21142,f21146,f21150,f21154,f21159,f21163,f21167,f21171,f21175,f21179,f21183,f21187,f21191,f21195,f21199,f21209]) ).

fof(f21209,plain,
    ( ~ spl0_2
    | spl0_674 ),
    inference(avatar_contradiction_clause,[],[f21200]) ).

fof(f21200,plain,
    ( $false
    | ~ spl0_2
    | spl0_674 ),
    inference(resolution,[],[f21158,f17]) ).

fof(f17,plain,
    ( ! [X7,X4,X5] : c_in(X7,c_insert(X7,X4,X5),X5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_2
  <=> ! [X4,X5,X7] : c_in(X7,c_insert(X7,X4,X5),X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f21158,plain,
    ( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_674 ),
    inference(avatar_component_clause,[],[f21156]) ).

fof(f21156,plain,
    ( spl0_674
  <=> c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f21199,plain,
    ( spl0_684
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2694,f2610,f404,f21197]) ).

fof(f21197,plain,
    ( spl0_684
  <=> ! [X83,X84,X86,X87,X85] :
        ( c_Main_OsubsetI__1(c_insert(X83,X84,tc_Message_Omsg),c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg) = X83
        | c_lessequals(c_insert(X83,X84,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f404,plain,
    ( spl0_47
  <=> ! [X5,X7,X6,X8] :
        ( c_lessequals(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2610,plain,
    ( spl0_162
  <=> ! [X10,X11,X9,X13,X12] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X9,X10,X11),X12,X11),c_insert(X13,X10,X11),X11)
        | c_Main_OsubsetI__1(c_insert(X9,X10,X11),c_insert(X13,X10,X11),X11) = X9
        | c_lessequals(c_insert(X9,X10,X11),X12,tc_set(X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2694,plain,
    ( ! [X83,X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X83,X84,tc_Message_Omsg),c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg) = X83
        | c_lessequals(c_insert(X83,X84,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2666]) ).

fof(f2666,plain,
    ( ! [X83,X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X83,X84,tc_Message_Omsg),c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg) = X83
        | c_lessequals(c_insert(X83,X84,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X83,X84,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_insert(X85,X84,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f405]) ).

fof(f405,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f2611,plain,
    ( ! [X10,X11,X9,X12,X13] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X9,X10,X11),X12,X11),c_insert(X13,X10,X11),X11)
        | c_Main_OsubsetI__1(c_insert(X9,X10,X11),c_insert(X13,X10,X11),X11) = X9
        | c_lessequals(c_insert(X9,X10,X11),X12,tc_set(X11)) )
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f2610]) ).

fof(f21195,plain,
    ( spl0_683
    | ~ spl0_49
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2691,f2610,f412,f21193]) ).

fof(f21193,plain,
    ( spl0_683
  <=> ! [X102,X98,X100,X99,X101] :
        ( c_Main_OsubsetI__1(c_insert(X98,X99,tc_Message_Omsg),c_insert(X100,X99,tc_Message_Omsg),tc_Message_Omsg) = X98
        | c_lessequals(c_insert(X98,X99,tc_Message_Omsg),c_insert(X101,c_insert(X102,c_Message_Osynth(c_insert(X100,X99,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f412,plain,
    ( spl0_49
  <=> ! [X18,X17,X16,X15] :
        ( c_lessequals(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X18,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2691,plain,
    ( ! [X101,X98,X99,X102,X100] :
        ( c_Main_OsubsetI__1(c_insert(X98,X99,tc_Message_Omsg),c_insert(X100,X99,tc_Message_Omsg),tc_Message_Omsg) = X98
        | c_lessequals(c_insert(X98,X99,tc_Message_Omsg),c_insert(X101,c_insert(X102,c_Message_Osynth(c_insert(X100,X99,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2669]) ).

fof(f2669,plain,
    ( ! [X101,X98,X99,X102,X100] :
        ( c_Main_OsubsetI__1(c_insert(X98,X99,tc_Message_Omsg),c_insert(X100,X99,tc_Message_Omsg),tc_Message_Omsg) = X98
        | c_lessequals(c_insert(X98,X99,tc_Message_Omsg),c_insert(X101,c_insert(X102,c_Message_Osynth(c_insert(X100,X99,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X98,X99,tc_Message_Omsg),c_insert(X101,c_insert(X102,c_Message_Osynth(c_insert(X100,X99,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f413]) ).

fof(f413,plain,
    ( ! [X18,X16,X17,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X18,tc_Message_Omsg)
        | c_lessequals(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f21191,plain,
    ( spl0_682
    | ~ spl0_154
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2644,f2606,f2339,f21189]) ).

fof(f21189,plain,
    ( spl0_682
  <=> ! [X5,X9,X7,X6,X8] :
        ( c_lessequals(c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),c_insert(X7,c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(X6),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f2339,plain,
    ( spl0_154
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2606,plain,
    ( spl0_161
  <=> ! [X24,X21,X23,X25,X22] :
        ( ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg)
        | c_lessequals(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2644,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( c_lessequals(c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),c_insert(X7,c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(X6),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5 )
    | ~ spl0_154
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2614]) ).

fof(f2614,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( c_lessequals(c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),c_insert(X7,c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(X6),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | c_lessequals(c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),c_insert(X7,c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(X6),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_154
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f2340]) ).

fof(f2340,plain,
    ( ! [X8,X6,X7] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f2339]) ).

fof(f2607,plain,
    ( ! [X21,X24,X22,X25,X23] :
        ( ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg)
        | c_lessequals(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f2606]) ).

fof(f21187,plain,
    ( spl0_681
    | ~ spl0_119
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2638,f2606,f1443,f21185]) ).

fof(f21185,plain,
    ( spl0_681
  <=> ! [X38,X41,X40,X39,X37] :
        ( c_lessequals(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f1443,plain,
    ( spl0_119
  <=> ! [X10,X7,X9,X8] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X8,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2638,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37 )
    | ~ spl0_119
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2620]) ).

fof(f2620,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,c_Message_Osynth(X38),tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f1444]) ).

fof(f1444,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X8,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f21183,plain,
    ( spl0_680
    | ~ spl0_53
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2403,f2339,f477,f21181]) ).

fof(f21181,plain,
    ( spl0_680
  <=> ! [X112,X115,X113,X114,X116] :
        ( c_Main_OsubsetI__1(c_insert(X112,X113,tc_Message_Omsg),c_Message_Osynth(X113),tc_Message_Omsg) = X112
        | c_lessequals(c_Message_Osynth(c_insert(X112,X113,tc_Message_Omsg)),c_insert(X114,c_insert(X115,c_insert(X116,c_Message_Osynth(c_Message_Osynth(X113)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f477,plain,
    ( spl0_53
  <=> ! [X10,X11,X9,X13,X14,X12] :
        ( c_lessequals(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),tc_set(X14))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),X14),X13,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2403,plain,
    ( ! [X113,X116,X114,X115,X112] :
        ( c_Main_OsubsetI__1(c_insert(X112,X113,tc_Message_Omsg),c_Message_Osynth(X113),tc_Message_Omsg) = X112
        | c_lessequals(c_Message_Osynth(c_insert(X112,X113,tc_Message_Omsg)),c_insert(X114,c_insert(X115,c_insert(X116,c_Message_Osynth(c_Message_Osynth(X113)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2400]) ).

fof(f2400,plain,
    ( ! [X113,X116,X114,X115,X112] :
        ( c_Main_OsubsetI__1(c_insert(X112,X113,tc_Message_Omsg),c_Message_Osynth(X113),tc_Message_Omsg) = X112
        | c_lessequals(c_Message_Osynth(c_insert(X112,X113,tc_Message_Omsg)),c_insert(X114,c_insert(X115,c_insert(X116,c_Message_Osynth(c_Message_Osynth(X113)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X112,X113,tc_Message_Omsg)),c_insert(X114,c_insert(X115,c_insert(X116,c_Message_Osynth(c_Message_Osynth(X113)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f478]) ).

fof(f478,plain,
    ( ! [X10,X11,X9,X14,X12,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),X14),X13,X14)
        | c_lessequals(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),tc_set(X14)) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f21179,plain,
    ( spl0_679
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2313,f2184,f20,f21177]) ).

fof(f21177,plain,
    ( spl0_679
  <=> ! [X18,X20,X17,X19] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f20,plain,
    ( spl0_3
  <=> ! [X0,X1] :
        ( ~ c_in(X0,X1,tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2184,plain,
    ( spl0_150
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2313,plain,
    ( ! [X18,X19,X17,X20] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(resolution,[],[f2185,f21]) ).

fof(f21,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | ~ c_in(X0,X1,tc_Message_Omsg) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f2185,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg),tc_Message_Omsg) = X0 )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f2184]) ).

fof(f21175,plain,
    ( spl0_678
    | ~ spl0_3
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2300,f2180,f20,f21173]) ).

fof(f21173,plain,
    ( spl0_678
  <=> ! [X18,X20,X17,X19] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f2180,plain,
    ( spl0_149
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = X0
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2300,plain,
    ( ! [X18,X19,X17,X20] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_149 ),
    inference(resolution,[],[f2181,f21]) ).

fof(f2181,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = X0 )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f2180]) ).

fof(f21171,plain,
    ( spl0_677
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1778,f1633,f691,f21169]) ).

fof(f21169,plain,
    ( spl0_677
  <=> ! [X130,X132,X133,X134,X131] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X130)),X131,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X130)),X131,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X132,c_insert(X133,c_Message_Osynth(X134),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X130,X134,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f691,plain,
    ( spl0_71
  <=> ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_insert(X6,c_Message_Osynth(X4),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1633,plain,
    ( spl0_130
  <=> ! [X31,X33,X32,X30] :
        ( ~ c_lessequals(X30,X31,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)
        | ~ c_lessequals(X31,X33,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1778,plain,
    ( ! [X132,X133,X130,X131,X134] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X130)),X131,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X130)),X131,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X132,c_insert(X133,c_Message_Osynth(X134),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X130,X134,tc_set(tc_Message_Omsg)) )
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f692]) ).

fof(f692,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_insert(X6,c_Message_Osynth(X4),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f1634,plain,
    ( ! [X31,X32,X30,X33] :
        ( ~ c_lessequals(X31,X33,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)
        | ~ c_lessequals(X30,X31,tc_set(tc_Message_Omsg)) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1633]) ).

fof(f21167,plain,
    ( spl0_676
    | ~ spl0_70
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1777,f1633,f687,f21165]) ).

fof(f21165,plain,
    ( spl0_676
  <=> ! [X129,X125,X128,X127,X126] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X125)),X126,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X125)),X126,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X127,c_Message_Osynth(c_insert(X128,X129,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X125,X129,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f687,plain,
    ( spl0_70
  <=> ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_Message_Osynth(c_insert(X6,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1777,plain,
    ( ! [X126,X127,X125,X128,X129] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X125)),X126,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X125)),X126,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X127,c_Message_Osynth(c_insert(X128,X129,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X125,X129,tc_set(tc_Message_Omsg)) )
    | ~ spl0_70
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f688]) ).

fof(f688,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_Message_Osynth(c_insert(X6,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f21163,plain,
    ( spl0_675
    | ~ spl0_68
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1774,f1633,f679,f21161]) ).

fof(f21161,plain,
    ( spl0_675
  <=> ! [X112,X115,X113,X114,X116] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X112)),X113,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X112)),X113,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X114,c_insert(X115,X116,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X112,X116,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f679,plain,
    ( spl0_68
  <=> ! [X6,X4,X5] : c_lessequals(X4,c_Message_Osynth(c_insert(X5,c_insert(X6,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1774,plain,
    ( ! [X113,X116,X114,X115,X112] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X112)),X113,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X112)),X113,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X114,c_insert(X115,X116,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X112,X116,tc_set(tc_Message_Omsg)) )
    | ~ spl0_68
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f680]) ).

fof(f680,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_Message_Osynth(c_insert(X5,c_insert(X6,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f21159,plain,
    ( spl0_1
    | ~ spl0_674
    | ~ spl0_11
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f19062,f19006,f61,f21156,f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f61,plain,
    ( spl0_11
  <=> ! [X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f19006,plain,
    ( spl0_602
  <=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f19062,plain,
    ( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_11
    | ~ spl0_602 ),
    inference(superposition,[],[f62,f19008]) ).

fof(f19008,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_602 ),
    inference(avatar_component_clause,[],[f19006]) ).

fof(f62,plain,
    ( ! [X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f21154,plain,
    ( spl0_673
    | ~ spl0_5
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1749,f1633,f28,f21152]) ).

fof(f21152,plain,
    ( spl0_673
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg)
        | ~ c_lessequals(X0,c_Message_Osynth(X3),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X3,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f28,plain,
    ( spl0_5
  <=> ! [X2,X1] :
        ( ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1749,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg)
        | ~ c_lessequals(X0,c_Message_Osynth(X3),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X3,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_5
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f29]) ).

fof(f29,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f21150,plain,
    ( spl0_672
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1608,f1463,f44,f21148]) ).

fof(f21148,plain,
    ( spl0_672
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X11,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f44,plain,
    ( spl0_8
  <=> ! [X5,X4,X9,X8] :
        ( ~ c_in(X9,X8,X5)
        | c_in(X9,X4,X5)
        | ~ c_lessequals(X8,X4,tc_set(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1463,plain,
    ( spl0_124
  <=> ! [X4,X2,X3] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1608,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X11,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(resolution,[],[f1464,f45]) ).

fof(f45,plain,
    ( ! [X8,X9,X4,X5] :
        ( ~ c_lessequals(X8,X4,tc_set(X5))
        | c_in(X9,X4,X5)
        | ~ c_in(X9,X8,X5) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f1464,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg) = X2 )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1463]) ).

fof(f21146,plain,
    ( spl0_671
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1605,f1459,f44,f21144]) ).

fof(f21144,plain,
    ( spl0_671
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg)),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f1459,plain,
    ( spl0_123
  <=> ! [X4,X2,X3] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1605,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg)),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(resolution,[],[f1460,f45]) ).

fof(f1460,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg) = X2 )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f21142,plain,
    ( spl0_670
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1598,f1455,f44,f21140]) ).

fof(f21140,plain,
    ( spl0_670
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg))),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f1455,plain,
    ( spl0_122
  <=> ! [X4,X2,X3] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_Message_Omsg) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1598,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg))),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(resolution,[],[f1456,f45]) ).

fof(f1456,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_Message_Omsg) = X2 )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f21138,plain,
    ( spl0_669
    | ~ spl0_6
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1217,f1166,f32,f21136]) ).

fof(f21136,plain,
    ( spl0_669
  <=> ! [X20,X18,X19] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X20,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X19)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),X20,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f32,plain,
    ( spl0_6
  <=> ! [X4,X5,X8] :
        ( c_lessequals(X8,X4,tc_set(X5))
        | c_in(c_Main_OsubsetI__1(X8,X4,X5),X8,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1166,plain,
    ( spl0_106
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1217,plain,
    ( ! [X18,X19,X20] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X20,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X19)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),X20,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_106 ),
    inference(resolution,[],[f1167,f33]) ).

fof(f33,plain,
    ( ! [X8,X4,X5] :
        ( c_in(c_Main_OsubsetI__1(X8,X4,X5),X8,X5)
        | c_lessequals(X8,X4,tc_set(X5)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f1167,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3 )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f21134,plain,
    ( spl0_668
    | ~ spl0_38
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f890,f845,f282,f21132]) ).

fof(f21132,plain,
    ( spl0_668
  <=> ! [X57,X59,X58] :
        ( c_Main_OsubsetI__1(c_insert(X57,c_insert(X58,X59,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),tc_Message_Omsg) = X57
        | c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),X59,tc_Message_Omsg) = X58
        | c_in(X57,c_Message_Osynth(X59),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f282,plain,
    ( spl0_38
  <=> ! [X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),X5,tc_Message_Omsg) = X4
        | ~ c_in(X6,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(X5),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f845,plain,
    ( spl0_78
  <=> ! [X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f890,plain,
    ( ! [X58,X59,X57] :
        ( c_Main_OsubsetI__1(c_insert(X57,c_insert(X58,X59,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),tc_Message_Omsg) = X57
        | c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),X59,tc_Message_Omsg) = X58
        | c_in(X57,c_Message_Osynth(X59),tc_Message_Omsg) )
    | ~ spl0_38
    | ~ spl0_78 ),
    inference(resolution,[],[f846,f283]) ).

fof(f283,plain,
    ( ! [X6,X4,X5] :
        ( ~ c_in(X6,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),X5,tc_Message_Omsg) = X4
        | c_in(X6,c_Message_Osynth(X5),tc_Message_Omsg) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f846,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0 )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f21130,plain,
    ( spl0_667
    | ~ spl0_17
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f873,f845,f106,f21128]) ).

fof(f21128,plain,
    ( spl0_667
  <=> ! [X2,X3] :
        ( c_Main_OsubsetI__1(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),X3,tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg)
        | c_lessequals(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f106,plain,
    ( spl0_17
  <=> ! [X4,X5] :
        ( c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg),X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f873,plain,
    ( ! [X2,X3] :
        ( c_Main_OsubsetI__1(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),X3,tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg)
        | c_lessequals(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_78 ),
    inference(resolution,[],[f846,f107]) ).

fof(f107,plain,
    ( ! [X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg),X5,tc_Message_Omsg)
        | c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f21126,plain,
    ( spl0_666
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f818,f788,f245,f21124]) ).

fof(f21124,plain,
    ( spl0_666
  <=> ! [X13,X14,X16,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),X16,tc_Message_Omsg)
        | c_lessequals(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f245,plain,
    ( spl0_33
  <=> ! [X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg),X7,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f788,plain,
    ( spl0_74
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_in(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4)
        | ~ c_in(X0,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f818,plain,
    ( ! [X16,X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg),X16,tc_Message_Omsg)
        | c_lessequals(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(resolution,[],[f789,f246]) ).

fof(f246,plain,
    ( ! [X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg),X7,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f789,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_in(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4)
        | ~ c_in(X0,X3,X4) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f21122,plain,
    ( spl0_665
    | ~ spl0_39
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f762,f741,f286,f21120]) ).

fof(f21120,plain,
    ( spl0_665
  <=> ! [X66,X64,X65] :
        ( c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,X66,tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,X66,tc_Message_Omsg),tc_Message_Omsg) = X64
        | c_in(X64,c_Message_Osynth(X66),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X65,X66,tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f286,plain,
    ( spl0_39
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f741,plain,
    ( spl0_72
  <=> ! [X2,X0,X1] :
        ( c_in(X0,X1,X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f762,plain,
    ( ! [X65,X66,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,X66,tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,X66,tc_Message_Omsg),tc_Message_Omsg) = X64
        | c_in(X64,c_Message_Osynth(X66),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X65,X66,tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65 )
    | ~ spl0_39
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f287]) ).

fof(f287,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3 )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f742,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,X1,X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f21118,plain,
    ( spl0_664
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f720,f675,f294,f21116]) ).

fof(f21116,plain,
    ( spl0_664
  <=> ! [X31,X29,X28,X30] :
        ( ~ c_in(c_Main_OsubsetI__1(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_insert(X30,c_Message_Osynth(X31),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),X31,tc_Message_Omsg)
        | c_lessequals(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_insert(X30,c_Message_Osynth(X31),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f294,plain,
    ( spl0_41
  <=> ! [X9,X11,X10] :
        ( c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f675,plain,
    ( spl0_67
  <=> ! [X4,X5,X3] :
        ( c_in(X3,c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f720,plain,
    ( ! [X31,X28,X29,X30] :
        ( ~ c_in(c_Main_OsubsetI__1(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_insert(X30,c_Message_Osynth(X31),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),X31,tc_Message_Omsg)
        | c_lessequals(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_insert(X30,c_Message_Osynth(X31),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(resolution,[],[f676,f295]) ).

fof(f295,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg)
        | c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f676,plain,
    ( ! [X3,X4,X5] :
        ( c_in(X3,c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f21102,plain,
    ( spl0_663
    | ~ spl0_37
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f718,f675,f278,f21100]) ).

fof(f21100,plain,
    ( spl0_663
  <=> ! [X20,X21,X23,X22] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_insert(X22,c_Message_Osynth(X23),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),X23,tc_Message_Omsg)
        | c_lessequals(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_insert(X22,c_Message_Osynth(X23),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f278,plain,
    ( spl0_37
  <=> ! [X4,X5,X3] :
        ( c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_Message_Omsg),X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f718,plain,
    ( ! [X21,X22,X23,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_insert(X22,c_Message_Osynth(X23),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),X23,tc_Message_Omsg)
        | c_lessequals(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_insert(X22,c_Message_Osynth(X23),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_67 ),
    inference(resolution,[],[f676,f279]) ).

fof(f279,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_Message_Omsg),X5,tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f21098,plain,
    ( spl0_662
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f717,f675,f290,f21096]) ).

fof(f21096,plain,
    ( spl0_662
  <=> ! [X18,X17,X16,X19] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),X19,tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f290,plain,
    ( spl0_40
  <=> ! [X9,X11,X10] :
        ( c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_Message_Omsg),X11,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f717,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),X19,tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(resolution,[],[f676,f291]) ).

fof(f291,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_Message_Omsg),X11,tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f21094,plain,
    ( spl0_661
    | ~ spl0_41
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f702,f671,f294,f21092]) ).

fof(f21092,plain,
    ( spl0_661
  <=> ! [X31,X29,X28,X30] :
        ( ~ c_in(c_Main_OsubsetI__1(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)))),tc_Message_Omsg),tc_Message_Omsg),X31,tc_Message_Omsg)
        | c_lessequals(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f671,plain,
    ( spl0_66
  <=> ! [X4,X5,X3] :
        ( c_in(X3,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f702,plain,
    ( ! [X31,X28,X29,X30] :
        ( ~ c_in(c_Main_OsubsetI__1(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)))),tc_Message_Omsg),tc_Message_Omsg),X31,tc_Message_Omsg)
        | c_lessequals(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_66 ),
    inference(resolution,[],[f672,f295]) ).

fof(f672,plain,
    ( ! [X3,X4,X5] :
        ( c_in(X3,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f21090,plain,
    ( spl0_660
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f700,f671,f278,f21088]) ).

fof(f21088,plain,
    ( spl0_660
  <=> ! [X20,X21,X23,X22] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),X23,tc_Message_Omsg)
        | c_lessequals(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f700,plain,
    ( ! [X21,X22,X23,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),X23,tc_Message_Omsg)
        | c_lessequals(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(resolution,[],[f672,f279]) ).

fof(f21086,plain,
    ( spl0_659
    | ~ spl0_40
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f699,f671,f290,f21084]) ).

fof(f21084,plain,
    ( spl0_659
  <=> ! [X18,X17,X16,X19] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),X19,tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f699,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),X19,tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_66 ),
    inference(resolution,[],[f672,f291]) ).

fof(f21082,plain,
    ( spl0_658
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f451,f412,f209,f21080]) ).

fof(f21080,plain,
    ( spl0_658
  <=> ! [X31,X33,X30,X32] :
        ( c_lessequals(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X33))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X33))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X33,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f209,plain,
    ( spl0_29
  <=> ! [X2,X3] :
        ( c_in(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)
        | ~ c_in(X2,X3,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f451,plain,
    ( ! [X31,X32,X30,X33] :
        ( c_lessequals(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X33))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X33))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X33,tc_Message_Omsg) )
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f210]) ).

fof(f210,plain,
    ( ! [X2,X3] :
        ( c_in(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)
        | ~ c_in(X2,X3,tc_Message_Omsg) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f21078,plain,
    ( spl0_657
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f434,f404,f209,f21076]) ).

fof(f21076,plain,
    ( spl0_657
  <=> ! [X31,X33,X30,X32] :
        ( c_lessequals(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X33,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f434,plain,
    ( ! [X31,X32,X30,X33] :
        ( c_lessequals(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X33,tc_Message_Omsg) )
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f210]) ).

fof(f21074,plain,
    ( spl0_656
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f422,f400,f209,f21072]) ).

fof(f21072,plain,
    ( spl0_656
  <=> ! [X31,X33,X30,X32] :
        ( c_lessequals(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X33,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f400,plain,
    ( spl0_46
  <=> ! [X5,X7,X6,X8] :
        ( c_lessequals(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f422,plain,
    ( ! [X31,X32,X30,X33] :
        ( c_lessequals(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X33,tc_Message_Omsg) )
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f210]) ).

fof(f401,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f21036,plain,
    ( spl0_655
    | ~ spl0_358
    | spl0_450 ),
    inference(avatar_split_clause,[],[f12584,f12540,f9536,f21034]) ).

fof(f21034,plain,
    ( spl0_655
  <=> ! [X0] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_insert(X0,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(X0,v_H,tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f9536,plain,
    ( spl0_358
  <=> ! [X61,X60,X63,X62] :
        ( c_Main_OsubsetI__1(c_insert(X60,c_insert(X61,X62,X63),X63),c_insert(X61,X62,X63),X63) = X60
        | c_in(X60,X62,X63)
        | X60 = X61 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f12540,plain,
    ( spl0_450
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f12584,plain,
    ( ! [X0] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_insert(X0,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(X0,v_H,tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X0 )
    | ~ spl0_358
    | spl0_450 ),
    inference(resolution,[],[f12542,f9537]) ).

fof(f9537,plain,
    ( ! [X62,X63,X60,X61] :
        ( c_in(X60,X62,X63)
        | c_Main_OsubsetI__1(c_insert(X60,c_insert(X61,X62,X63),X63),c_insert(X61,X62,X63),X63) = X60
        | X60 = X61 )
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f9536]) ).

fof(f12542,plain,
    ( ~ c_in(v_X,v_H,tc_Message_Omsg)
    | spl0_450 ),
    inference(avatar_component_clause,[],[f12540]) ).

fof(f20681,plain,
    ( spl0_654
    | ~ spl0_316
    | spl0_524 ),
    inference(avatar_split_clause,[],[f15612,f15541,f7965,f20679]) ).

fof(f20679,plain,
    ( spl0_654
  <=> ! [X3] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f7965,plain,
    ( spl0_316
  <=> ! [X75,X77,X78,X76] :
        ( c_Main_OsubsetI__1(c_insert(X75,X76,X77),c_insert(X78,X76,X77),X77) = X75
        | c_in(X75,X76,X77)
        | X75 = X78 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f15541,plain,
    ( spl0_524
  <=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f15612,plain,
    ( ! [X3] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X3 )
    | ~ spl0_316
    | spl0_524 ),
    inference(resolution,[],[f15542,f7966]) ).

fof(f7966,plain,
    ( ! [X78,X76,X77,X75] :
        ( c_in(X75,X76,X77)
        | c_Main_OsubsetI__1(c_insert(X75,X76,X77),c_insert(X78,X76,X77),X77) = X75
        | X75 = X78 )
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f7965]) ).

fof(f15542,plain,
    ( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_524 ),
    inference(avatar_component_clause,[],[f15541]) ).

fof(f20113,plain,
    ( spl0_653
    | ~ spl0_340
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f19054,f19006,f8696,f20110]) ).

fof(f20110,plain,
    ( spl0_653
  <=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f8696,plain,
    ( spl0_340
  <=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f19054,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_340
    | ~ spl0_602 ),
    inference(superposition,[],[f8698,f19008]) ).

fof(f8698,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f8696]) ).

fof(f19249,plain,
    ( spl0_652
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3039,f2889,f1443,f19247]) ).

fof(f19247,plain,
    ( spl0_652
  <=> ! [X6,X10,X9,X11,X12,X8,X7] :
        ( c_lessequals(c_insert(X6,X7,X8),c_insert(X9,c_insert(X10,c_insert(X11,c_insert(X12,X7,X8),X8),X8),X8),tc_set(X8))
        | c_Main_OsubsetI__1(c_insert(X6,X7,X8),X7,X8) = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f2889,plain,
    ( spl0_171
  <=> ! [X24,X23,X29,X27,X25,X28,X26] :
        ( c_lessequals(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),tc_set(X29))
        | ~ c_in(c_Main_OsubsetI__1(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),X29),X28,X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3039,plain,
    ( ! [X10,X11,X8,X6,X9,X7,X12] :
        ( c_lessequals(c_insert(X6,X7,X8),c_insert(X9,c_insert(X10,c_insert(X11,c_insert(X12,X7,X8),X8),X8),X8),tc_set(X8))
        | c_Main_OsubsetI__1(c_insert(X6,X7,X8),X7,X8) = X6 )
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(duplicate_literal_removal,[],[f3001]) ).

fof(f3001,plain,
    ( ! [X10,X11,X8,X6,X9,X7,X12] :
        ( c_lessequals(c_insert(X6,X7,X8),c_insert(X9,c_insert(X10,c_insert(X11,c_insert(X12,X7,X8),X8),X8),X8),tc_set(X8))
        | c_Main_OsubsetI__1(c_insert(X6,X7,X8),X7,X8) = X6
        | c_lessequals(c_insert(X6,X7,X8),c_insert(X9,c_insert(X10,c_insert(X11,c_insert(X12,X7,X8),X8),X8),X8),tc_set(X8)) )
    | ~ spl0_119
    | ~ spl0_171 ),
    inference(resolution,[],[f2890,f1444]) ).

fof(f2890,plain,
    ( ! [X28,X29,X26,X27,X24,X25,X23] :
        ( ~ c_in(c_Main_OsubsetI__1(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),X29),X28,X29)
        | c_lessequals(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),tc_set(X29)) )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2889]) ).

fof(f19245,plain,
    ( spl0_651
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2998,f2885,f1154,f19243]) ).

fof(f19243,plain,
    ( spl0_651
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f1154,plain,
    ( spl0_103
  <=> ! [X2,X0,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2885,plain,
    ( spl0_170
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,X9,tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2998,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2901]) ).

fof(f2901,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f1155]) ).

fof(f1155,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f2886,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,X9,tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_lessequals(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_set(tc_Message_Omsg)) )
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2885]) ).

fof(f19241,plain,
    ( spl0_650
    | ~ spl0_95
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2982,f2885,f1043,f19239]) ).

fof(f19239,plain,
    ( spl0_650
  <=> ! [X80,X81,X79] :
        ( c_Main_OsubsetI__1(c_insert(X79,X80,tc_Message_Omsg),c_insert(X81,X80,tc_Message_Omsg),tc_Message_Omsg) = X79
        | c_lessequals(c_Message_Osynth(c_insert(X79,X80,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X81,X80,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f1043,plain,
    ( spl0_95
  <=> ! [X9,X10] :
        ( c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_Message_Omsg),X10,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2982,plain,
    ( ! [X80,X81,X79] :
        ( c_Main_OsubsetI__1(c_insert(X79,X80,tc_Message_Omsg),c_insert(X81,X80,tc_Message_Omsg),tc_Message_Omsg) = X79
        | c_lessequals(c_Message_Osynth(c_insert(X79,X80,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X81,X80,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2917]) ).

fof(f2917,plain,
    ( ! [X80,X81,X79] :
        ( c_Main_OsubsetI__1(c_insert(X79,X80,tc_Message_Omsg),c_insert(X81,X80,tc_Message_Omsg),tc_Message_Omsg) = X79
        | c_lessequals(c_Message_Osynth(c_insert(X79,X80,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X81,X80,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X79,X80,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X81,X80,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f1044]) ).

fof(f1044,plain,
    ( ! [X10,X9] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_Message_Omsg),X10,tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f19237,plain,
    ( spl0_649
    | ~ spl0_22
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2980,f2885,f139,f19235]) ).

fof(f19235,plain,
    ( spl0_649
  <=> ! [X88,X85,X87,X86] :
        ( c_Main_OsubsetI__1(c_insert(X85,X86,tc_Message_Omsg),c_insert(X87,X86,tc_Message_Omsg),tc_Message_Omsg) = X85
        | c_lessequals(c_Message_Osynth(c_insert(X85,X86,tc_Message_Omsg)),c_Message_Osynth(c_insert(X88,c_Message_Osynth(c_insert(X87,X86,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f139,plain,
    ( spl0_22
  <=> ! [X2,X1,X3] :
        ( c_lessequals(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X3,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2980,plain,
    ( ! [X88,X86,X87,X85] :
        ( c_Main_OsubsetI__1(c_insert(X85,X86,tc_Message_Omsg),c_insert(X87,X86,tc_Message_Omsg),tc_Message_Omsg) = X85
        | c_lessequals(c_Message_Osynth(c_insert(X85,X86,tc_Message_Omsg)),c_Message_Osynth(c_insert(X88,c_Message_Osynth(c_insert(X87,X86,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2919]) ).

fof(f2919,plain,
    ( ! [X88,X86,X87,X85] :
        ( c_Main_OsubsetI__1(c_insert(X85,X86,tc_Message_Omsg),c_insert(X87,X86,tc_Message_Omsg),tc_Message_Omsg) = X85
        | c_lessequals(c_Message_Osynth(c_insert(X85,X86,tc_Message_Omsg)),c_Message_Osynth(c_insert(X88,c_Message_Osynth(c_insert(X87,X86,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X85,X86,tc_Message_Omsg)),c_Message_Osynth(c_insert(X88,c_Message_Osynth(c_insert(X87,X86,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f140]) ).

fof(f140,plain,
    ( ! [X2,X3,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X3,tc_Message_Omsg)
        | c_lessequals(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f19233,plain,
    ( spl0_648
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2974,f2885,f143,f19231]) ).

fof(f19231,plain,
    ( spl0_648
  <=> ! [X112,X110,X111,X109] :
        ( c_Main_OsubsetI__1(c_insert(X109,X110,tc_Message_Omsg),c_insert(X111,X110,tc_Message_Omsg),tc_Message_Omsg) = X109
        | c_lessequals(c_Message_Osynth(c_insert(X109,X110,tc_Message_Omsg)),c_insert(X112,c_Message_Osynth(c_Message_Osynth(c_insert(X111,X110,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f143,plain,
    ( spl0_23
  <=> ! [X9,X8,X10] :
        ( c_lessequals(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_Message_Omsg),X10,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2974,plain,
    ( ! [X111,X109,X112,X110] :
        ( c_Main_OsubsetI__1(c_insert(X109,X110,tc_Message_Omsg),c_insert(X111,X110,tc_Message_Omsg),tc_Message_Omsg) = X109
        | c_lessequals(c_Message_Osynth(c_insert(X109,X110,tc_Message_Omsg)),c_insert(X112,c_Message_Osynth(c_Message_Osynth(c_insert(X111,X110,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2925]) ).

fof(f2925,plain,
    ( ! [X111,X109,X112,X110] :
        ( c_Main_OsubsetI__1(c_insert(X109,X110,tc_Message_Omsg),c_insert(X111,X110,tc_Message_Omsg),tc_Message_Omsg) = X109
        | c_lessequals(c_Message_Osynth(c_insert(X109,X110,tc_Message_Omsg)),c_insert(X112,c_Message_Osynth(c_Message_Osynth(c_insert(X111,X110,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X109,X110,tc_Message_Omsg)),c_insert(X112,c_Message_Osynth(c_Message_Osynth(c_insert(X111,X110,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f144]) ).

fof(f144,plain,
    ( ! [X10,X8,X9] :
        ( ~ c_in(c_Main_OsubsetI__1(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_Message_Omsg),X10,tc_Message_Omsg)
        | c_lessequals(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f19229,plain,
    ( spl0_647
    | ~ spl0_140
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2862,f2753,f1901,f19227]) ).

fof(f19227,plain,
    ( spl0_647
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f1901,plain,
    ( spl0_140
  <=> ! [X6,X5,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),X7,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2753,plain,
    ( spl0_167
  <=> ! [X29,X27,X25,X28,X26] :
        ( c_lessequals(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2862,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_167 ),
    inference(duplicate_literal_removal,[],[f2838]) ).

fof(f2838,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_167 ),
    inference(resolution,[],[f2754,f1902]) ).

fof(f1902,plain,
    ( ! [X6,X7,X5] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),X7,tc_set(tc_Message_Omsg)) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1901]) ).

fof(f2754,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg)
        | c_lessequals(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f2753]) ).

fof(f19225,plain,
    ( spl0_646
    | ~ spl0_141
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2861,f2753,f2044,f19223]) ).

fof(f19223,plain,
    ( spl0_646
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f2044,plain,
    ( spl0_141
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2861,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_167 ),
    inference(duplicate_literal_removal,[],[f2839]) ).

fof(f2839,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_167 ),
    inference(resolution,[],[f2754,f2045]) ).

fof(f2045,plain,
    ( ! [X8,X6,X7] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f2044]) ).

fof(f19221,plain,
    ( spl0_645
    | ~ spl0_140
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2825,f2749,f1901,f19219]) ).

fof(f19219,plain,
    ( spl0_645
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f2749,plain,
    ( spl0_166
  <=> ! [X29,X27,X25,X28,X26] :
        ( c_lessequals(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2825,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_166 ),
    inference(duplicate_literal_removal,[],[f2801]) ).

fof(f2801,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_166 ),
    inference(resolution,[],[f2750,f1902]) ).

fof(f2750,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg)
        | c_lessequals(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f2749]) ).

fof(f19217,plain,
    ( spl0_644
    | ~ spl0_141
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2824,f2749,f2044,f19215]) ).

fof(f19215,plain,
    ( spl0_644
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f2824,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_166 ),
    inference(duplicate_literal_removal,[],[f2802]) ).

fof(f2802,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_166 ),
    inference(resolution,[],[f2750,f2045]) ).

fof(f19213,plain,
    ( spl0_643
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2792,f2745,f1901,f19211]) ).

fof(f19211,plain,
    ( spl0_643
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f2745,plain,
    ( spl0_165
  <=> ! [X29,X27,X25,X28,X26] :
        ( c_lessequals(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2792,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(duplicate_literal_removal,[],[f2768]) ).

fof(f2768,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(resolution,[],[f2746,f1902]) ).

fof(f2746,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( ~ c_in(c_Main_OsubsetI__1(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg)
        | c_lessequals(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f2745]) ).

fof(f19202,plain,
    ( spl0_642
    | ~ spl0_141
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2791,f2745,f2044,f19200]) ).

fof(f19200,plain,
    ( spl0_642
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f2791,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_165 ),
    inference(duplicate_literal_removal,[],[f2769]) ).

fof(f2769,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_165 ),
    inference(resolution,[],[f2746,f2045]) ).

fof(f19198,plain,
    ( spl0_641
    | ~ spl0_112
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2706,f2610,f1241,f19196]) ).

fof(f19196,plain,
    ( spl0_641
  <=> ! [X31,X29,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X29,X30,tc_Message_Omsg),c_insert(X31,X30,tc_Message_Omsg),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X29,X30,tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f1241,plain,
    ( spl0_112
  <=> ! [X13,X14,X15] :
        ( c_lessequals(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg),X15,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2706,plain,
    ( ! [X31,X29,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X29,X30,tc_Message_Omsg),c_insert(X31,X30,tc_Message_Omsg),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X29,X30,tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2654]) ).

fof(f2654,plain,
    ( ! [X31,X29,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X29,X30,tc_Message_Omsg),c_insert(X31,X30,tc_Message_Omsg),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X29,X30,tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X29,X30,tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f1242]) ).

fof(f1242,plain,
    ( ! [X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg),X15,tc_Message_Omsg)
        | c_lessequals(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f19194,plain,
    ( spl0_640
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2704,f2610,f1237,f19192]) ).

fof(f19192,plain,
    ( spl0_640
  <=> ! [X38,X40,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,X38,tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X40,c_Message_Osynth(c_insert(X39,X38,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f1237,plain,
    ( spl0_111
  <=> ! [X13,X14,X15] :
        ( c_lessequals(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg),X15,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2704,plain,
    ( ! [X40,X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,X38,tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X40,c_Message_Osynth(c_insert(X39,X38,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2656]) ).

fof(f2656,plain,
    ( ! [X40,X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,X38,tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X40,c_Message_Osynth(c_insert(X39,X38,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X40,c_Message_Osynth(c_insert(X39,X38,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f1238]) ).

fof(f1238,plain,
    ( ! [X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg),X15,tc_Message_Omsg)
        | c_lessequals(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f1237]) ).

fof(f19190,plain,
    ( spl0_639
    | ~ spl0_109
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2703,f2610,f1229,f19188]) ).

fof(f19188,plain,
    ( spl0_639
  <=> ! [X41,X42,X44,X43] :
        ( c_Main_OsubsetI__1(c_insert(X41,X42,tc_Message_Omsg),c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_lessequals(c_insert(X41,X42,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X44,c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f1229,plain,
    ( spl0_109
  <=> ! [X6,X8,X7] :
        ( c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_Message_Omsg),X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2703,plain,
    ( ! [X41,X44,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X41,X42,tc_Message_Omsg),c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_lessequals(c_insert(X41,X42,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X44,c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2657]) ).

fof(f2657,plain,
    ( ! [X41,X44,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X41,X42,tc_Message_Omsg),c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_lessequals(c_insert(X41,X42,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X44,c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X41,X42,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X44,c_insert(X43,X42,tc_Message_Omsg),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f1230]) ).

fof(f1230,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f19186,plain,
    ( spl0_638
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2700,f2610,f1245,f19184]) ).

fof(f19184,plain,
    ( spl0_638
  <=> ! [X55,X54,X53,X56] :
        ( c_Main_OsubsetI__1(c_insert(X53,X54,tc_Message_Omsg),c_insert(X55,X54,tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,X54,tc_Message_Omsg),c_insert(X56,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X55,X54,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f1245,plain,
    ( spl0_113
  <=> ! [X13,X14,X15] :
        ( c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg),X15,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2700,plain,
    ( ! [X56,X54,X55,X53] :
        ( c_Main_OsubsetI__1(c_insert(X53,X54,tc_Message_Omsg),c_insert(X55,X54,tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,X54,tc_Message_Omsg),c_insert(X56,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X55,X54,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2660]) ).

fof(f2660,plain,
    ( ! [X56,X54,X55,X53] :
        ( c_Main_OsubsetI__1(c_insert(X53,X54,tc_Message_Omsg),c_insert(X55,X54,tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,X54,tc_Message_Omsg),c_insert(X56,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X55,X54,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X53,X54,tc_Message_Omsg),c_insert(X56,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X55,X54,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f1246]) ).

fof(f1246,plain,
    ( ! [X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg),X15,tc_Message_Omsg)
        | c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f1245]) ).

fof(f19182,plain,
    ( spl0_637
    | ~ spl0_25
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2699,f2610,f167,f19180]) ).

fof(f19180,plain,
    ( spl0_637
  <=> ! [X59,X60,X61,X57,X58,X62] :
        ( c_Main_OsubsetI__1(c_insert(X57,X58,X59),c_insert(X60,X58,X59),X59) = X57
        | c_lessequals(c_insert(X57,X58,X59),c_insert(X61,c_insert(X62,c_insert(X60,X58,X59),X59),X59),tc_set(X59)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f167,plain,
    ( spl0_25
  <=> ! [X5,X4,X7,X6,X3] :
        ( c_lessequals(X3,c_insert(X4,c_insert(X5,X6,X7),X7),tc_set(X7))
        | ~ c_in(c_Main_OsubsetI__1(X3,c_insert(X4,c_insert(X5,X6,X7),X7),X7),X6,X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2699,plain,
    ( ! [X58,X59,X57,X62,X60,X61] :
        ( c_Main_OsubsetI__1(c_insert(X57,X58,X59),c_insert(X60,X58,X59),X59) = X57
        | c_lessequals(c_insert(X57,X58,X59),c_insert(X61,c_insert(X62,c_insert(X60,X58,X59),X59),X59),tc_set(X59)) )
    | ~ spl0_25
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2661]) ).

fof(f2661,plain,
    ( ! [X58,X59,X57,X62,X60,X61] :
        ( c_Main_OsubsetI__1(c_insert(X57,X58,X59),c_insert(X60,X58,X59),X59) = X57
        | c_lessequals(c_insert(X57,X58,X59),c_insert(X61,c_insert(X62,c_insert(X60,X58,X59),X59),X59),tc_set(X59))
        | c_lessequals(c_insert(X57,X58,X59),c_insert(X61,c_insert(X62,c_insert(X60,X58,X59),X59),X59),tc_set(X59)) )
    | ~ spl0_25
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f168]) ).

fof(f168,plain,
    ( ! [X3,X6,X7,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X3,c_insert(X4,c_insert(X5,X6,X7),X7),X7),X6,X7)
        | c_lessequals(X3,c_insert(X4,c_insert(X5,X6,X7),X7),tc_set(X7)) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f19178,plain,
    ( spl0_636
    | ~ spl0_140
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2596,f2359,f1901,f19176]) ).

fof(f19176,plain,
    ( spl0_636
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f2359,plain,
    ( spl0_159
  <=> ! [X31,X34,X33,X32,X30] :
        ( c_lessequals(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X34,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2596,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f2568]) ).

fof(f2568,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_159 ),
    inference(resolution,[],[f2360,f1902]) ).

fof(f2360,plain,
    ( ! [X31,X34,X32,X30,X33] :
        ( ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X34,tc_Message_Omsg)
        | c_lessequals(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f2359]) ).

fof(f19174,plain,
    ( spl0_635
    | ~ spl0_141
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2595,f2359,f2044,f19172]) ).

fof(f19172,plain,
    ( spl0_635
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f2595,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f2569]) ).

fof(f2569,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_159 ),
    inference(resolution,[],[f2360,f2045]) ).

fof(f19170,plain,
    ( spl0_634
    | ~ spl0_140
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2548,f2351,f1901,f19168]) ).

fof(f19168,plain,
    ( spl0_634
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f2351,plain,
    ( spl0_157
  <=> ! [X18,X20,X16,X17,X19] :
        ( c_lessequals(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2548,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_157 ),
    inference(duplicate_literal_removal,[],[f2520]) ).

fof(f2520,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_157 ),
    inference(resolution,[],[f2352,f1902]) ).

fof(f2352,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg)
        | c_lessequals(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f2351]) ).

fof(f19166,plain,
    ( spl0_633
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2547,f2351,f2044,f19164]) ).

fof(f19164,plain,
    ( spl0_633
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f2547,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(duplicate_literal_removal,[],[f2521]) ).

fof(f2521,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(resolution,[],[f2352,f2045]) ).

fof(f19151,plain,
    ( spl0_632
    | ~ spl0_140
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2511,f2347,f1901,f19149]) ).

fof(f19149,plain,
    ( spl0_632
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f2347,plain,
    ( spl0_156
  <=> ! [X18,X20,X16,X17,X19] :
        ( c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2511,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2483]) ).

fof(f2483,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_156 ),
    inference(resolution,[],[f2348,f1902]) ).

fof(f2348,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg)
        | c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f2347]) ).

fof(f19147,plain,
    ( spl0_631
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2510,f2347,f2044,f19145]) ).

fof(f19145,plain,
    ( spl0_631
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f2510,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2484]) ).

fof(f2484,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(resolution,[],[f2348,f2045]) ).

fof(f19143,plain,
    ( spl0_630
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2470,f2343,f1901,f19141]) ).

fof(f19141,plain,
    ( spl0_630
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f2343,plain,
    ( spl0_155
  <=> ! [X18,X20,X16,X17,X19] :
        ( c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X20,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2470,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f2442]) ).

fof(f2442,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(c_insert(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(resolution,[],[f2344,f1902]) ).

fof(f2344,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X20,tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f2343]) ).

fof(f19139,plain,
    ( spl0_629
    | ~ spl0_141
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2469,f2343,f2044,f19137]) ).

fof(f19137,plain,
    ( spl0_629
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f2469,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f2443]) ).

fof(f2443,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_insert(X30,c_insert(X31,c_insert(X32,c_Message_Osynth(X29),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_155 ),
    inference(resolution,[],[f2344,f2045]) ).

fof(f19135,plain,
    ( spl0_628
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2432,f2339,f2172,f19133]) ).

fof(f19133,plain,
    ( spl0_628
  <=> ! [X18,X17,X16,X19] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_Message_Osynth(c_insert(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_Message_Osynth(X17),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f2172,plain,
    ( spl0_147
  <=> ! [X18,X17,X16,X19] :
        ( c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2432,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_Message_Osynth(c_insert(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_Message_Osynth(X17),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2371]) ).

fof(f2371,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_Message_Osynth(c_insert(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_Message_Osynth(X17),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_Message_Osynth(c_insert(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_Message_Osynth(X17),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f2173]) ).

fof(f2173,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f2172]) ).

fof(f19131,plain,
    ( spl0_627
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2431,f2339,f2168,f19129]) ).

fof(f19129,plain,
    ( spl0_627
  <=> ! [X20,X21,X23,X22] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X21),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f2168,plain,
    ( spl0_146
  <=> ! [X18,X17,X16,X19] :
        ( c_lessequals(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2431,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X21),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2372]) ).

fof(f2372,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X21),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X21),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f2169]) ).

fof(f2169,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg)
        | c_lessequals(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f2168]) ).

fof(f19127,plain,
    ( spl0_626
    | ~ spl0_148
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2428,f2339,f2176,f19125]) ).

fof(f19125,plain,
    ( spl0_626
  <=> ! [X35,X34,X33,X32] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),c_Message_Osynth(X33),tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X35,c_Message_Osynth(X33),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f2176,plain,
    ( spl0_148
  <=> ! [X18,X17,X16,X19] :
        ( c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2428,plain,
    ( ! [X34,X35,X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),c_Message_Osynth(X33),tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X35,c_Message_Osynth(X33),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_148
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2375]) ).

fof(f2375,plain,
    ( ! [X34,X35,X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),c_Message_Osynth(X33),tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X35,c_Message_Osynth(X33),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X35,c_Message_Osynth(X33),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_148
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f2177]) ).

fof(f2177,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg)
        | c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f2176]) ).

fof(f19123,plain,
    ( spl0_625
    | ~ spl0_133
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2411,f2339,f1645,f19121]) ).

fof(f19121,plain,
    ( spl0_625
  <=> ! [X82,X81,X80,X83] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_Message_Osynth(c_insert(X82,c_insert(X83,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X81))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f1645,plain,
    ( spl0_133
  <=> ! [X24,X21,X23,X22] :
        ( c_lessequals(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X24,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2411,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_Message_Osynth(c_insert(X82,c_insert(X83,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X81))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2392]) ).

fof(f2392,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_Message_Osynth(c_insert(X82,c_insert(X83,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X81))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_Message_Osynth(c_insert(X82,c_insert(X83,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X81))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1646]) ).

fof(f1646,plain,
    ( ! [X21,X24,X22,X23] :
        ( ~ c_in(c_Main_OsubsetI__1(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X24,tc_Message_Omsg)
        | c_lessequals(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1645]) ).

fof(f19119,plain,
    ( spl0_624
    | ~ spl0_128
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2410,f2339,f1625,f19117]) ).

fof(f19117,plain,
    ( spl0_624
  <=> ! [X85,X84,X87,X86] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_Message_Osynth(c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f1625,plain,
    ( spl0_128
  <=> ! [X10,X11,X12,X9] :
        ( c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2410,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_Message_Osynth(c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2393]) ).

fof(f2393,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_Message_Osynth(c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_Message_Osynth(c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1626]) ).

fof(f1626,plain,
    ( ! [X10,X11,X9,X12] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1625]) ).

fof(f19115,plain,
    ( spl0_623
    | ~ spl0_127
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2409,f2339,f1621,f19113]) ).

fof(f19113,plain,
    ( spl0_623
  <=> ! [X88,X91,X90,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X90,c_insert(X91,c_Message_Osynth(c_Message_Osynth(X89)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f1621,plain,
    ( spl0_127
  <=> ! [X10,X11,X12,X9] :
        ( c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2409,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X90,c_insert(X91,c_Message_Osynth(c_Message_Osynth(X89)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2394]) ).

fof(f2394,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X90,c_insert(X91,c_Message_Osynth(c_Message_Osynth(X89)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X90,c_insert(X91,c_Message_Osynth(c_Message_Osynth(X89)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1622]) ).

fof(f1622,plain,
    ( ! [X10,X11,X9,X12] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),X12,tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1621]) ).

fof(f19105,plain,
    ( ~ spl0_524
    | spl0_386
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f19050,f19006,f10354,f15541]) ).

fof(f10354,plain,
    ( spl0_386
  <=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f19050,plain,
    ( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_386
    | ~ spl0_602 ),
    inference(superposition,[],[f10356,f19008]) ).

fof(f10356,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_386 ),
    inference(avatar_component_clause,[],[f10354]) ).

fof(f19104,plain,
    ( spl0_622
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2407,f2339,f1653,f19102]) ).

fof(f19102,plain,
    ( spl0_622
  <=> ! [X99,X98,X97,X96] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_Message_Osynth(c_insert(X99,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X97))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f1653,plain,
    ( spl0_135
  <=> ! [X24,X21,X23,X22] :
        ( c_lessequals(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X24,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2407,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_Message_Osynth(c_insert(X99,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X97))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2396]) ).

fof(f2396,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_Message_Osynth(c_insert(X99,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X97))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_Message_Osynth(c_insert(X99,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X97))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1654]) ).

fof(f1654,plain,
    ( ! [X21,X24,X22,X23] :
        ( ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X24,tc_Message_Omsg)
        | c_lessequals(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1653]) ).

fof(f19100,plain,
    ( spl0_621
    | ~ spl0_129
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2406,f2339,f1629,f19098]) ).

fof(f19098,plain,
    ( spl0_621
  <=> ! [X102,X100,X103,X101] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_Message_Osynth(c_Message_Osynth(c_insert(X103,c_Message_Osynth(c_Message_Osynth(X101)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f1629,plain,
    ( spl0_129
  <=> ! [X10,X11,X12,X9] :
        ( c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2406,plain,
    ( ! [X101,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_Message_Osynth(c_Message_Osynth(c_insert(X103,c_Message_Osynth(c_Message_Osynth(X101)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2397]) ).

fof(f2397,plain,
    ( ! [X101,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_Message_Osynth(c_Message_Osynth(c_insert(X103,c_Message_Osynth(c_Message_Osynth(X101)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_Message_Osynth(c_Message_Osynth(c_insert(X103,c_Message_Osynth(c_Message_Osynth(X101)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1630]) ).

fof(f1630,plain,
    ( ! [X10,X11,X9,X12] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),X12,tc_Message_Omsg)
        | c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f19096,plain,
    ( spl0_620
    | ~ spl0_119
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2289,f2176,f1443,f19094]) ).

fof(f19094,plain,
    ( spl0_620
  <=> ! [X29,X27,X28,X26] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f2289,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 )
    | ~ spl0_119
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f2271]) ).

fof(f2271,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_148 ),
    inference(resolution,[],[f2177,f1444]) ).

fof(f19092,plain,
    ( spl0_619
    | ~ spl0_119
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2258,f2172,f1443,f19090]) ).

fof(f19090,plain,
    ( spl0_619
  <=> ! [X29,X27,X28,X26] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f2258,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 )
    | ~ spl0_119
    | ~ spl0_147 ),
    inference(duplicate_literal_removal,[],[f2240]) ).

fof(f2240,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_147 ),
    inference(resolution,[],[f2173,f1444]) ).

fof(f19088,plain,
    ( spl0_618
    | ~ spl0_119
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2227,f2168,f1443,f19086]) ).

fof(f19086,plain,
    ( spl0_618
  <=> ! [X29,X27,X28,X26] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f2227,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26 )
    | ~ spl0_119
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f2209]) ).

fof(f2209,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(X27),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X29,X27,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_146 ),
    inference(resolution,[],[f2169,f1444]) ).

fof(f19084,plain,
    ( spl0_617
    | ~ spl0_3
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2154,f2052,f20,f19082]) ).

fof(f19082,plain,
    ( spl0_617
  <=> ! [X18,X20,X17,X19] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_insert(X19,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg) = X17
        | c_in(X20,c_Message_Osynth(c_insert(X19,c_Message_Osynth(X18),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f2052,plain,
    ( spl0_143
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg) = X4
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2154,plain,
    ( ! [X18,X19,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_insert(X19,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg) = X17
        | c_in(X20,c_Message_Osynth(c_insert(X19,c_Message_Osynth(X18),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_143 ),
    inference(resolution,[],[f2053,f21]) ).

fof(f2053,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_in(X7,c_Message_Osynth(c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f2052]) ).

fof(f19080,plain,
    ( spl0_616
    | ~ spl0_3
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2141,f2048,f20,f19078]) ).

fof(f19078,plain,
    ( spl0_616
  <=> ! [X18,X20,X17,X19] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg)),tc_Message_Omsg) = X17
        | c_in(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f2048,plain,
    ( spl0_142
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg) = X4
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2141,plain,
    ( ! [X18,X19,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg)),tc_Message_Omsg) = X17
        | c_in(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_142 ),
    inference(resolution,[],[f2049,f21]) ).

fof(f2049,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg) = X4
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg))),tc_Message_Omsg) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f2048]) ).

fof(f19076,plain,
    ( spl0_615
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1780,f1633,f213,f19074]) ).

fof(f19074,plain,
    ( spl0_615
  <=> ! [X143,X141,X142,X139,X140] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X139)),X140,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X139)),X140,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X141,c_insert(X142,X143,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X139,X143,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f213,plain,
    ( spl0_30
  <=> ! [X0,X3,X2,X1] : c_lessequals(X0,c_insert(X1,c_insert(X2,X0,X3),X3),tc_set(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1780,plain,
    ( ! [X142,X143,X140,X141,X139] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X139)),X140,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X139)),X140,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X141,c_insert(X142,X143,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X139,X143,tc_set(tc_Message_Omsg)) )
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f214]) ).

fof(f214,plain,
    ( ! [X2,X3,X0,X1] : c_lessequals(X0,c_insert(X1,c_insert(X2,X0,X3),X3),tc_set(X3))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f19072,plain,
    ( spl0_614
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1372,f1245,f87,f19070]) ).

fof(f19070,plain,
    ( spl0_614
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f87,plain,
    ( spl0_15
  <=> ! [X10,X7,X9,X8] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1372,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(duplicate_literal_removal,[],[f1352]) ).

fof(f1352,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(resolution,[],[f1246,f88]) ).

fof(f88,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f19068,plain,
    ( spl0_613
    | ~ spl0_15
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1340,f1241,f87,f19066]) ).

fof(f19066,plain,
    ( spl0_613
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f1340,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_112 ),
    inference(duplicate_literal_removal,[],[f1320]) ).

fof(f1320,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_112 ),
    inference(resolution,[],[f1242,f88]) ).

fof(f19049,plain,
    ( spl0_612
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1311,f1237,f87,f19047]) ).

fof(f19047,plain,
    ( spl0_612
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f1311,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(duplicate_literal_removal,[],[f1291]) ).

fof(f1291,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(resolution,[],[f1238,f88]) ).

fof(f19045,plain,
    ( spl0_611
    | ~ spl0_94
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1279,f1233,f1011,f19043]) ).

fof(f19043,plain,
    ( spl0_611
  <=> ! [X6,X5,X7] :
        ( c_in(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f1011,plain,
    ( spl0_94
  <=> ! [X0,X3,X2,X1] :
        ( c_in(X0,c_insert(X1,X2,X3),X3)
        | c_Main_OsubsetI__1(c_insert(X0,X2,X3),c_insert(X1,X2,X3),X3) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1233,plain,
    ( spl0_110
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | ~ c_in(X8,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1279,plain,
    ( ! [X6,X7,X5] :
        ( c_in(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 )
    | ~ spl0_94
    | ~ spl0_110 ),
    inference(resolution,[],[f1234,f1012]) ).

fof(f1012,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X0,c_insert(X1,X2,X3),X3)
        | c_Main_OsubsetI__1(c_insert(X0,X2,X3),c_insert(X1,X2,X3),X3) = X0 )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1234,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(X8,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg) = X6 )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f19041,plain,
    ( spl0_610
    | ~ spl0_15
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1272,f1229,f87,f19039]) ).

fof(f19039,plain,
    ( spl0_610
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f1272,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_109 ),
    inference(duplicate_literal_removal,[],[f1252]) ).

fof(f1252,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_109 ),
    inference(resolution,[],[f1230,f88]) ).

fof(f19037,plain,
    ( spl0_609
    | ~ spl0_32
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1225,f1170,f230,f19035]) ).

fof(f19035,plain,
    ( spl0_609
  <=> ! [X2,X3,X4,X0,X5,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f230,plain,
    ( spl0_32
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1170,plain,
    ( spl0_107
  <=> ! [X18,X19,X20,X21,X22] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X18)),c_insert(X19,c_insert(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X22,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1225,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_107 ),
    inference(resolution,[],[f1171,f231]) ).

fof(f231,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f1171,plain,
    ( ! [X21,X18,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X18)),c_insert(X19,c_insert(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X22,tc_set(tc_Message_Omsg)) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f19033,plain,
    ( spl0_608
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1208,f1162,f230,f19031]) ).

fof(f19031,plain,
    ( spl0_608
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg) = X0
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f1162,plain,
    ( spl0_105
  <=> ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1208,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg) = X0
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(resolution,[],[f1163,f231]) ).

fof(f1163,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg) = X1 )
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f19029,plain,
    ( spl0_607
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1193,f1154,f87,f19027]) ).

fof(f19027,plain,
    ( spl0_607
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f1193,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(duplicate_literal_removal,[],[f1177]) ).

fof(f1177,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(resolution,[],[f1155,f88]) ).

fof(f19025,plain,
    ( spl0_606
    | ~ spl0_72
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1136,f1091,f741,f19023]) ).

fof(f19023,plain,
    ( spl0_606
  <=> ! [X16,X17,X15] :
        ( c_in(X15,c_Message_Osynth(X16),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X17,X16,tc_Message_Omsg),X16,tc_Message_Omsg) = X17
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X17,X16,tc_Message_Omsg),tc_Message_Omsg),c_insert(X17,X16,tc_Message_Omsg),tc_Message_Omsg) = X15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f1091,plain,
    ( spl0_99
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1136,plain,
    ( ! [X16,X17,X15] :
        ( c_in(X15,c_Message_Osynth(X16),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X17,X16,tc_Message_Omsg),X16,tc_Message_Omsg) = X17
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X17,X16,tc_Message_Omsg),tc_Message_Omsg),c_insert(X17,X16,tc_Message_Omsg),tc_Message_Omsg) = X15 )
    | ~ spl0_72
    | ~ spl0_99 ),
    inference(resolution,[],[f1092,f742]) ).

fof(f1092,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3 )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f19021,plain,
    ( spl0_605
    | ~ spl0_42
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f981,f962,f338,f19019]) ).

fof(f19019,plain,
    ( spl0_605
  <=> ! [X31,X29,X28,X30] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X28)),X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X30))),tc_Message_Omsg)
        | ~ c_lessequals(X31,X30,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X28,X31,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X28)),X29,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f338,plain,
    ( spl0_42
  <=> ! [X4,X5,X3] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg)
        | ~ c_lessequals(X3,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f962,plain,
    ( spl0_87
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f981,plain,
    ( ! [X31,X28,X29,X30] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X28)),X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X30))),tc_Message_Omsg)
        | ~ c_lessequals(X31,X30,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X28,X31,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X28)),X29,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f339]) ).

fof(f339,plain,
    ( ! [X3,X4,X5] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg)
        | ~ c_lessequals(X3,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f963,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f19017,plain,
    ( spl0_604
    | ~ spl0_11
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f902,f895,f61,f19015]) ).

fof(f19015,plain,
    ( spl0_604
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f895,plain,
    ( spl0_81
  <=> ! [X5,X7,X6,X8] :
        ( ~ c_in(X5,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_insert(X7,c_insert(X8,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f902,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_81 ),
    inference(resolution,[],[f896,f62]) ).

fof(f896,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_in(X5,c_Message_Osynth(c_insert(X7,c_insert(X8,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X5,c_Message_Osynth(X6),tc_Message_Omsg) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f19013,plain,
    ( spl0_603
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f801,f768,f245,f19011]) ).

fof(f19011,plain,
    ( spl0_603
  <=> ! [X6,X8,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))))),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f768,plain,
    ( spl0_73
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f801,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))))),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(resolution,[],[f769,f246]) ).

fof(f769,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f19009,plain,
    ( spl0_602
    | spl0_1
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f16000,f15587,f11,f19006]) ).

fof(f15587,plain,
    ( spl0_528
  <=> ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_Message_Omsg) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f16000,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_528 ),
    inference(resolution,[],[f15588,f13]) ).

fof(f13,plain,
    ( ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f15588,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_Message_Omsg) = X14 )
    | ~ spl0_528 ),
    inference(avatar_component_clause,[],[f15587]) ).

fof(f19004,plain,
    ( spl0_601
    | ~ spl0_14
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f748,f741,f79,f19002]) ).

fof(f19002,plain,
    ( spl0_601
  <=> ! [X10,X11,X12,X9] :
        ( c_Main_OsubsetI__1(X9,c_insert(X10,X11,X12),X12) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X9,c_insert(X10,X11,X12),X12),X11,X12),X11,X12)
        | c_lessequals(X9,c_insert(X10,X11,X12),tc_set(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f79,plain,
    ( spl0_14
  <=> ! [X3,X4,X5,X2] :
        ( c_lessequals(X2,c_insert(X3,X4,X5),tc_set(X5))
        | ~ c_in(c_Main_OsubsetI__1(X2,c_insert(X3,X4,X5),X5),X4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f748,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(X9,c_insert(X10,X11,X12),X12) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X9,c_insert(X10,X11,X12),X12),X11,X12),X11,X12)
        | c_lessequals(X9,c_insert(X10,X11,X12),tc_set(X12)) )
    | ~ spl0_14
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f80]) ).

fof(f80,plain,
    ( ! [X2,X3,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X2,c_insert(X3,X4,X5),X5),X4,X5)
        | c_lessequals(X2,c_insert(X3,X4,X5),tc_set(X5)) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f19000,plain,
    ( spl0_600
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f747,f741,f245,f18998]) ).

fof(f18998,plain,
    ( spl0_600
  <=> ! [X8,X7] :
        ( c_Main_OsubsetI__1(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_Message_Omsg),X8,tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f747,plain,
    ( ! [X8,X7] :
        ( c_Main_OsubsetI__1(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_Message_Omsg),X8,tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f246]) ).

fof(f17088,plain,
    ( spl0_599
    | ~ spl0_2
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f3065,f3054,f16,f17086]) ).

fof(f17086,plain,
    ( spl0_599
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_in(X0,X2,X3)
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f3054,plain,
    ( spl0_175
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_in(X4,X2,X3)
        | ~ c_in(X4,c_insert(X0,c_insert(X1,X2,X3),X3),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3065,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_in(X0,X2,X3)
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0 )
    | ~ spl0_2
    | ~ spl0_175 ),
    inference(resolution,[],[f3055,f17]) ).

fof(f3055,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_in(X4,c_insert(X0,c_insert(X1,X2,X3),X3),X3)
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_in(X4,X2,X3)
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0 )
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f3054]) ).

fof(f17084,plain,
    ( spl0_598
    | ~ spl0_98
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2999,f2885,f1087,f17082]) ).

fof(f17082,plain,
    ( spl0_598
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X3,c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f1087,plain,
    ( spl0_98
  <=> ! [X6,X8,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2999,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X3,c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2900]) ).

fof(f2900,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X3,c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X3,c_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f1088]) ).

fof(f1088,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f17080,plain,
    ( spl0_597
    | ~ spl0_33
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2983,f2885,f245,f17078]) ).

fof(f17078,plain,
    ( spl0_597
  <=> ! [X77,X76,X78] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_insert(X78,X77,tc_Message_Omsg),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X78,X77,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f2983,plain,
    ( ! [X78,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_insert(X78,X77,tc_Message_Omsg),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X78,X77,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2916]) ).

fof(f2916,plain,
    ( ! [X78,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_insert(X78,X77,tc_Message_Omsg),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X78,X77,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X78,X77,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f246]) ).

fof(f17076,plain,
    ( spl0_596
    | ~ spl0_14
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2971,f2885,f79,f17074]) ).

fof(f17074,plain,
    ( spl0_596
  <=> ! [X123,X121,X122,X124] :
        ( c_Main_OsubsetI__1(c_insert(X121,X122,tc_Message_Omsg),c_insert(X123,X122,tc_Message_Omsg),tc_Message_Omsg) = X121
        | c_lessequals(c_Message_Osynth(c_insert(X121,X122,tc_Message_Omsg)),c_insert(X124,c_Message_Osynth(c_insert(X123,X122,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f2971,plain,
    ( ! [X121,X124,X122,X123] :
        ( c_Main_OsubsetI__1(c_insert(X121,X122,tc_Message_Omsg),c_insert(X123,X122,tc_Message_Omsg),tc_Message_Omsg) = X121
        | c_lessequals(c_Message_Osynth(c_insert(X121,X122,tc_Message_Omsg)),c_insert(X124,c_Message_Osynth(c_insert(X123,X122,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2928]) ).

fof(f2928,plain,
    ( ! [X121,X124,X122,X123] :
        ( c_Main_OsubsetI__1(c_insert(X121,X122,tc_Message_Omsg),c_insert(X123,X122,tc_Message_Omsg),tc_Message_Omsg) = X121
        | c_lessequals(c_Message_Osynth(c_insert(X121,X122,tc_Message_Omsg)),c_insert(X124,c_Message_Osynth(c_insert(X123,X122,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X121,X122,tc_Message_Omsg)),c_insert(X124,c_Message_Osynth(c_insert(X123,X122,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f80]) ).

fof(f17072,plain,
    ( spl0_595
    | ~ spl0_40
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2707,f2610,f290,f17070]) ).

fof(f17070,plain,
    ( spl0_595
  <=> ! [X28,X27,X25,X26] :
        ( c_Main_OsubsetI__1(c_insert(X25,X26,tc_Message_Omsg),c_insert(X27,X26,tc_Message_Omsg),tc_Message_Omsg) = X25
        | c_lessequals(c_insert(X25,X26,tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f2707,plain,
    ( ! [X28,X26,X27,X25] :
        ( c_Main_OsubsetI__1(c_insert(X25,X26,tc_Message_Omsg),c_insert(X27,X26,tc_Message_Omsg),tc_Message_Omsg) = X25
        | c_lessequals(c_insert(X25,X26,tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2653]) ).

fof(f2653,plain,
    ( ! [X28,X26,X27,X25] :
        ( c_Main_OsubsetI__1(c_insert(X25,X26,tc_Message_Omsg),c_insert(X27,X26,tc_Message_Omsg),tc_Message_Omsg) = X25
        | c_lessequals(c_insert(X25,X26,tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X25,X26,tc_Message_Omsg),c_Message_Osynth(c_insert(X28,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f291]) ).

fof(f17068,plain,
    ( spl0_594
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2705,f2610,f278,f17066]) ).

fof(f17066,plain,
    ( spl0_594
  <=> ! [X35,X33,X34,X36] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X36,c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f2705,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X36,c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2655]) ).

fof(f2655,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X36,c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X36,c_insert(X35,X34,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f279]) ).

fof(f17064,plain,
    ( spl0_593
    | ~ spl0_41
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2701,f2610,f294,f17062]) ).

fof(f17062,plain,
    ( spl0_593
  <=> ! [X51,X50,X49,X52] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_insert(X51,X50,tc_Message_Omsg),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_insert(X52,c_Message_Osynth(c_Message_Osynth(c_insert(X51,X50,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f2701,plain,
    ( ! [X50,X51,X49,X52] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_insert(X51,X50,tc_Message_Omsg),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_insert(X52,c_Message_Osynth(c_Message_Osynth(c_insert(X51,X50,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2659]) ).

fof(f2659,plain,
    ( ! [X50,X51,X49,X52] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_insert(X51,X50,tc_Message_Omsg),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_insert(X52,c_Message_Osynth(c_Message_Osynth(c_insert(X51,X50,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_insert(X52,c_Message_Osynth(c_Message_Osynth(c_insert(X51,X50,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f295]) ).

fof(f17060,plain,
    ( spl0_471
    | ~ spl0_20
    | spl0_568 ),
    inference(avatar_split_clause,[],[f16977,f16857,f124,f12628]) ).

fof(f12628,plain,
    ( spl0_471
  <=> v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f124,plain,
    ( spl0_20
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
        | c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f16857,plain,
    ( spl0_568
  <=> c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f16977,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | ~ spl0_20
    | spl0_568 ),
    inference(resolution,[],[f16858,f125]) ).

fof(f125,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f16858,plain,
    ( ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_set(tc_Message_Omsg))
    | spl0_568 ),
    inference(avatar_component_clause,[],[f16857]) ).

fof(f17059,plain,
    ( spl0_592
    | ~ spl0_140
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2641,f2606,f1901,f17057]) ).

fof(f17057,plain,
    ( spl0_592
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f2641,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23 )
    | ~ spl0_140
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2617]) ).

fof(f2617,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,X24,tc_Message_Omsg),c_Message_Osynth(X24),tc_Message_Omsg) = X23
        | c_lessequals(c_insert(X23,X24,tc_Message_Omsg),c_insert(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,X24,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f1902]) ).

fof(f17055,plain,
    ( spl0_591
    | ~ spl0_141
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2640,f2606,f2044,f17053]) ).

fof(f17053,plain,
    ( spl0_591
  <=> ! [X28,X31,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f2640,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28 )
    | ~ spl0_141
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2618]) ).

fof(f2618,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_insert(X31,c_Message_Osynth(c_insert(X32,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f2045]) ).

fof(f17051,plain,
    ( spl0_590
    | ~ spl0_136
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2433,f2339,f1885,f17049]) ).

fof(f17049,plain,
    ( spl0_590
  <=> ! [X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f1885,plain,
    ( spl0_136
  <=> ! [X10,X11,X12,X9] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X12),tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2433,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2370]) ).

fof(f2370,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1886]) ).

fof(f1886,plain,
    ( ! [X10,X11,X9,X12] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X12),tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1885]) ).

fof(f17047,plain,
    ( spl0_589
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2429,f2339,f1893,f17045]) ).

fof(f17045,plain,
    ( spl0_589
  <=> ! [X31,X29,X28,X30] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_Message_Osynth(c_insert(X31,c_Message_Osynth(X29),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f1893,plain,
    ( spl0_138
  <=> ! [X13,X14,X16,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg)
        | c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2429,plain,
    ( ! [X31,X28,X29,X30] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_Message_Osynth(c_insert(X31,c_Message_Osynth(X29),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2374]) ).

fof(f2374,plain,
    ( ! [X31,X28,X29,X30] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_Message_Osynth(c_insert(X31,c_Message_Osynth(X29),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_insert(X30,c_Message_Osynth(c_Message_Osynth(c_insert(X31,c_Message_Osynth(X29),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1894]) ).

fof(f1894,plain,
    ( ! [X16,X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg)
        | c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f17043,plain,
    ( spl0_588
    | ~ spl0_46
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2412,f2339,f400,f17041]) ).

fof(f17041,plain,
    ( spl0_588
  <=> ! [X77,X78,X76,X79] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(c_Message_Osynth(X77)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f2412,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(c_Message_Osynth(X77)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2391]) ).

fof(f2391,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(c_Message_Osynth(X77)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(c_Message_Osynth(X77)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f401]) ).

fof(f17039,plain,
    ( spl0_587
    | ~ spl0_47
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2408,f2339,f404,f17037]) ).

fof(f17037,plain,
    ( spl0_587
  <=> ! [X94,X95,X93,X92] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_Message_Osynth(c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f2408,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_Message_Osynth(c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2395]) ).

fof(f2395,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_Message_Osynth(c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_Message_Osynth(c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f405]) ).

fof(f17035,plain,
    ( spl0_586
    | ~ spl0_49
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2405,f2339,f412,f17033]) ).

fof(f17033,plain,
    ( spl0_586
  <=> ! [X105,X106,X104,X107] :
        ( c_Main_OsubsetI__1(c_insert(X104,X105,tc_Message_Omsg),c_Message_Osynth(X105),tc_Message_Omsg) = X104
        | c_lessequals(c_Message_Osynth(c_insert(X104,X105,tc_Message_Omsg)),c_insert(X106,c_insert(X107,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X105))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f2405,plain,
    ( ! [X106,X107,X104,X105] :
        ( c_Main_OsubsetI__1(c_insert(X104,X105,tc_Message_Omsg),c_Message_Osynth(X105),tc_Message_Omsg) = X104
        | c_lessequals(c_Message_Osynth(c_insert(X104,X105,tc_Message_Omsg)),c_insert(X106,c_insert(X107,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X105))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2398]) ).

fof(f2398,plain,
    ( ! [X106,X107,X104,X105] :
        ( c_Main_OsubsetI__1(c_insert(X104,X105,tc_Message_Omsg),c_Message_Osynth(X105),tc_Message_Omsg) = X104
        | c_lessequals(c_Message_Osynth(c_insert(X104,X105,tc_Message_Omsg)),c_insert(X106,c_insert(X107,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X105))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X104,X105,tc_Message_Omsg)),c_insert(X106,c_insert(X107,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X105))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f413]) ).

fof(f17031,plain,
    ( spl0_585
    | ~ spl0_53
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2105,f2044,f477,f17029]) ).

fof(f17029,plain,
    ( spl0_585
  <=> ! [X102,X101,X104,X100,X103] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),X101,tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f2105,plain,
    ( ! [X101,X104,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),X101,tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2094]) ).

fof(f2094,plain,
    ( ! [X101,X104,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),X101,tc_Message_Omsg) = X100
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X100,X101,tc_Message_Omsg)),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f478]) ).

fof(f17027,plain,
    ( spl0_584
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2011,f1901,f477,f17025]) ).

fof(f17025,plain,
    ( spl0_584
  <=> ! [X102,X101,X104,X100,X103] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_insert(X100,X101,tc_Message_Omsg),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f2011,plain,
    ( ! [X101,X104,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_insert(X100,X101,tc_Message_Omsg),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f2000]) ).

fof(f2000,plain,
    ( ! [X101,X104,X102,X103,X100] :
        ( c_Main_OsubsetI__1(c_insert(X100,X101,tc_Message_Omsg),c_Message_Osynth(X101),tc_Message_Omsg) = X100
        | c_lessequals(c_insert(X100,X101,tc_Message_Omsg),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X100,X101,tc_Message_Omsg),c_insert(X102,c_insert(X103,c_insert(X104,c_Message_Osynth(X101),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f478]) ).

fof(f17023,plain,
    ( spl0_583
    | ~ spl0_3
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1962,f1897,f20,f17021]) ).

fof(f17021,plain,
    ( spl0_583
  <=> ! [X18,X20,X17,X19] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_insert(X18,X19,tc_Message_Omsg),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f1897,plain,
    ( spl0_139
  <=> ! [X31,X29,X28,X30] :
        ( c_in(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X30,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X28,c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X31,X30,tc_Message_Omsg),c_insert(X29,X30,tc_Message_Omsg),tc_Message_Omsg) = X31 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1962,plain,
    ( ! [X18,X19,X17,X20] :
        ( c_in(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X20,X19,tc_Message_Omsg),c_insert(X18,X19,tc_Message_Omsg),tc_Message_Omsg) = X20
        | ~ c_in(X17,c_insert(X20,X19,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_139 ),
    inference(resolution,[],[f1898,f21]) ).

fof(f1898,plain,
    ( ! [X31,X28,X29,X30] :
        ( ~ c_in(X28,c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X30,tc_Message_Omsg))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X31,X30,tc_Message_Omsg),c_insert(X29,X30,tc_Message_Omsg),tc_Message_Omsg) = X31 )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1897]) ).

fof(f17019,plain,
    ( spl0_582
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1953,f1893,f1443,f17017]) ).

fof(f17017,plain,
    ( spl0_582
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f1953,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(duplicate_literal_removal,[],[f1935]) ).

fof(f1935,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(resolution,[],[f1894,f1444]) ).

fof(f17015,plain,
    ( spl0_581
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1926,f1885,f1443,f17013]) ).

fof(f17013,plain,
    ( spl0_581
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f1926,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(duplicate_literal_removal,[],[f1908]) ).

fof(f1908,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,c_Message_Osynth(X19),tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(resolution,[],[f1886,f1444]) ).

fof(f17011,plain,
    ( spl0_580
    | ~ spl0_63
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1776,f1633,f581,f17009]) ).

fof(f17009,plain,
    ( spl0_580
  <=> ! [X123,X121,X122,X124] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X121)),X122,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X121)),X122,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X123,c_Message_Osynth(c_Message_Osynth(X124)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X121,X124,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f581,plain,
    ( spl0_63
  <=> ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1776,plain,
    ( ! [X121,X124,X122,X123] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X121)),X122,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X121)),X122,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X123,c_Message_Osynth(c_Message_Osynth(X124)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X121,X124,tc_set(tc_Message_Omsg)) )
    | ~ spl0_63
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f582]) ).

fof(f582,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f17007,plain,
    ( spl0_579
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1773,f1633,f542,f17005]) ).

fof(f17005,plain,
    ( spl0_579
  <=> ! [X108,X110,X111,X109] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X108)),X109,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X108)),X109,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X110,c_Message_Osynth(X111),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X108,X111,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f542,plain,
    ( spl0_57
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1773,plain,
    ( ! [X111,X108,X109,X110] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X108)),X109,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X108)),X109,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X110,c_Message_Osynth(X111),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X108,X111,tc_set(tc_Message_Omsg)) )
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f543]) ).

fof(f543,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f17003,plain,
    ( spl0_578
    | ~ spl0_51
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1771,f1633,f466,f17001]) ).

fof(f17001,plain,
    ( spl0_578
  <=> ! [X102,X100,X103,X101] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X100)),X101,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X100)),X101,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X102,X103,tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_lessequals(X100,X103,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f466,plain,
    ( spl0_51
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1771,plain,
    ( ! [X101,X102,X103,X100] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X100)),X101,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X100)),X101,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X102,X103,tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_lessequals(X100,X103,tc_set(tc_Message_Omsg)) )
    | ~ spl0_51
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f467]) ).

fof(f467,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f16999,plain,
    ( spl0_577
    | ~ spl0_29
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1264,f1229,f209,f16997]) ).

fof(f16997,plain,
    ( spl0_577
  <=> ! [X64,X62,X63] :
        ( c_lessequals(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)))),tc_Message_Omsg),X64,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f1264,plain,
    ( ! [X62,X63,X64] :
        ( c_lessequals(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)))),tc_Message_Omsg),X64,tc_Message_Omsg) )
    | ~ spl0_29
    | ~ spl0_109 ),
    inference(resolution,[],[f1230,f210]) ).

fof(f16995,plain,
    ( spl0_576
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1226,f1170,f69,f16993]) ).

fof(f16993,plain,
    ( spl0_576
  <=> ! [X10,X9,X11,X6,X8,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg)
        | c_in(X8,c_Message_Osynth(c_insert(X9,c_insert(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f69,plain,
    ( spl0_12
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1226,plain,
    ( ! [X10,X11,X8,X6,X9,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg)
        | c_in(X8,c_Message_Osynth(c_insert(X9,c_insert(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(resolution,[],[f1171,f70]) ).

fof(f70,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f16991,plain,
    ( spl0_575
    | ~ spl0_94
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1213,f1166,f1011,f16989]) ).

fof(f16989,plain,
    ( spl0_575
  <=> ! [X6,X5,X7] :
        ( c_in(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f1213,plain,
    ( ! [X6,X7,X5] :
        ( c_in(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 )
    | ~ spl0_94
    | ~ spl0_106 ),
    inference(resolution,[],[f1167,f1012]) ).

fof(f16987,plain,
    ( spl0_574
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1209,f1162,f69,f16985]) ).

fof(f16985,plain,
    ( spl0_574
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) = X3
        | ~ c_in(X5,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f1209,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) = X3
        | ~ c_in(X5,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_105 ),
    inference(resolution,[],[f1163,f70]) ).

fof(f16983,plain,
    ( spl0_573
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1137,f1091,f32,f16981]) ).

fof(f16981,plain,
    ( spl0_573
  <=> ! [X20,X18,X19] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X20,tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),X20,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f1137,plain,
    ( ! [X18,X19,X20] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X20,tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),X20,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_99 ),
    inference(resolution,[],[f1092,f33]) ).

fof(f16976,plain,
    ( spl0_572
    | ~ spl0_66
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1063,f1043,f671,f16974]) ).

fof(f16974,plain,
    ( spl0_572
  <=> ! [X38,X36,X37] :
        ( c_lessequals(X36,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X36,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)))))),tc_Message_Omsg),X38,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f1063,plain,
    ( ! [X38,X36,X37] :
        ( c_lessequals(X36,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X36,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)))))),tc_Message_Omsg),X38,tc_Message_Omsg) )
    | ~ spl0_66
    | ~ spl0_95 ),
    inference(resolution,[],[f1044,f672]) ).

fof(f16972,plain,
    ( spl0_571
    | ~ spl0_67
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1057,f1043,f675,f16970]) ).

fof(f16970,plain,
    ( spl0_571
  <=> ! [X20,X21,X19] :
        ( c_lessequals(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_Message_Osynth(X21),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_Message_Osynth(X21),tc_Message_Omsg))))),tc_Message_Omsg),X21,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f1057,plain,
    ( ! [X21,X19,X20] :
        ( c_lessequals(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_Message_Osynth(X21),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_Message_Osynth(X21),tc_Message_Omsg))))),tc_Message_Omsg),X21,tc_Message_Omsg) )
    | ~ spl0_67
    | ~ spl0_95 ),
    inference(resolution,[],[f1044,f676]) ).

fof(f16968,plain,
    ( spl0_570
    | ~ spl0_34
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f760,f741,f258,f16966]) ).

fof(f16966,plain,
    ( spl0_570
  <=> ! [X59,X57,X56,X58] :
        ( c_Main_OsubsetI__1(c_insert(X56,c_insert(X57,X58,X59),X59),c_insert(X57,X58,X59),X59) = X56
        | c_in(X56,X58,X59)
        | c_Main_OsubsetI__1(c_insert(X57,X58,X59),X58,X59) = X57 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f258,plain,
    ( spl0_34
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
        | c_in(X3,X1,X2)
        | ~ c_in(X3,c_insert(X0,X1,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f760,plain,
    ( ! [X58,X59,X56,X57] :
        ( c_Main_OsubsetI__1(c_insert(X56,c_insert(X57,X58,X59),X59),c_insert(X57,X58,X59),X59) = X56
        | c_in(X56,X58,X59)
        | c_Main_OsubsetI__1(c_insert(X57,X58,X59),X58,X59) = X57 )
    | ~ spl0_34
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f259]) ).

fof(f259,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(X3,c_insert(X0,X1,X2),X2)
        | c_in(X3,X1,X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f16964,plain,
    ( spl0_569
    | ~ spl0_25
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f397,f209,f167,f16962]) ).

fof(f16962,plain,
    ( spl0_569
  <=> ! [X29,X27,X28,X26] :
        ( ~ c_in(c_Main_OsubsetI__1(X26,c_insert(X27,c_insert(X28,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X29,tc_Message_Omsg)
        | c_lessequals(X26,c_insert(X27,c_insert(X28,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f397,plain,
    ( ! [X28,X29,X26,X27] :
        ( ~ c_in(c_Main_OsubsetI__1(X26,c_insert(X27,c_insert(X28,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X29,tc_Message_Omsg)
        | c_lessequals(X26,c_insert(X27,c_insert(X28,c_Message_Osynth(c_Message_Osynth(X29)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_29 ),
    inference(resolution,[],[f210,f168]) ).

fof(f16860,plain,
    ( spl0_568
    | ~ spl0_450
    | ~ spl0_7
    | ~ spl0_471 ),
    inference(avatar_split_clause,[],[f13902,f12628,f36,f12540,f16857]) ).

fof(f36,plain,
    ( spl0_7
  <=> ! [X4,X5,X8] :
        ( c_lessequals(X8,X4,tc_set(X5))
        | ~ c_in(c_Main_OsubsetI__1(X8,X4,X5),X4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f13902,plain,
    ( ~ c_in(v_X,v_H,tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_set(tc_Message_Omsg))
    | ~ spl0_7
    | ~ spl0_471 ),
    inference(superposition,[],[f37,f12630]) ).

fof(f12630,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | ~ spl0_471 ),
    inference(avatar_component_clause,[],[f12628]) ).

fof(f37,plain,
    ( ! [X8,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X8,X4,X5),X4,X5)
        | c_lessequals(X8,X4,tc_set(X5)) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f15767,plain,
    ( spl0_567
    | ~ spl0_17
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2984,f2885,f106,f15765]) ).

fof(f15765,plain,
    ( spl0_567
  <=> ! [X73,X75,X74] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_insert(X75,X74,tc_Message_Omsg),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X75,X74,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f2984,plain,
    ( ! [X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_insert(X75,X74,tc_Message_Omsg),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X75,X74,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2915]) ).

fof(f2915,plain,
    ( ! [X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_insert(X75,X74,tc_Message_Omsg),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X75,X74,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X75,X74,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f107]) ).

fof(f15763,plain,
    ( spl0_566
    | ~ spl0_95
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2710,f2610,f1043,f15761]) ).

fof(f15761,plain,
    ( spl0_566
  <=> ! [X13,X14,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X15,X14,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f2710,plain,
    ( ! [X14,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X15,X14,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2650]) ).

fof(f2650,plain,
    ( ! [X14,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X15,X14,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X15,X14,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f1044]) ).

fof(f15759,plain,
    ( spl0_565
    | ~ spl0_22
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2708,f2610,f139,f15757]) ).

fof(f15757,plain,
    ( spl0_565
  <=> ! [X24,X21,X23,X22] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f2708,plain,
    ( ! [X21,X24,X22,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2652]) ).

fof(f2652,plain,
    ( ! [X21,X24,X22,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_insert(X23,X22,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f140]) ).

fof(f15755,plain,
    ( spl0_564
    | ~ spl0_23
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2702,f2610,f143,f15753]) ).

fof(f15753,plain,
    ( spl0_564
  <=> ! [X48,X47,X46,X45] :
        ( c_Main_OsubsetI__1(c_insert(X45,X46,tc_Message_Omsg),c_insert(X47,X46,tc_Message_Omsg),tc_Message_Omsg) = X45
        | c_lessequals(c_insert(X45,X46,tc_Message_Omsg),c_insert(X48,c_Message_Osynth(c_insert(X47,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f2702,plain,
    ( ! [X48,X46,X47,X45] :
        ( c_Main_OsubsetI__1(c_insert(X45,X46,tc_Message_Omsg),c_insert(X47,X46,tc_Message_Omsg),tc_Message_Omsg) = X45
        | c_lessequals(c_insert(X45,X46,tc_Message_Omsg),c_insert(X48,c_Message_Osynth(c_insert(X47,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2658]) ).

fof(f2658,plain,
    ( ! [X48,X46,X47,X45] :
        ( c_Main_OsubsetI__1(c_insert(X45,X46,tc_Message_Omsg),c_insert(X47,X46,tc_Message_Omsg),tc_Message_Omsg) = X45
        | c_lessequals(c_insert(X45,X46,tc_Message_Omsg),c_insert(X48,c_Message_Osynth(c_insert(X47,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X45,X46,tc_Message_Omsg),c_insert(X48,c_Message_Osynth(c_insert(X47,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f144]) ).

fof(f15751,plain,
    ( spl0_563
    | ~ spl0_316
    | spl0_450 ),
    inference(avatar_split_clause,[],[f12585,f12540,f7965,f15749]) ).

fof(f15749,plain,
    ( spl0_563
  <=> ! [X1] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_insert(X1,v_H,tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f12585,plain,
    ( ! [X1] :
        ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_insert(X1,v_H,tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X1 )
    | ~ spl0_316
    | spl0_450 ),
    inference(resolution,[],[f12542,f7966]) ).

fof(f15747,plain,
    ( spl0_562
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2593,f2359,f1443,f15745]) ).

fof(f15745,plain,
    ( spl0_562
  <=> ! [X38,X41,X40,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_insert(X41,c_Message_Osynth(X38),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f2593,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_insert(X41,c_Message_Osynth(X38),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 )
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f2571]) ).

fof(f2571,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_insert(X41,c_Message_Osynth(X38),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_insert(X41,c_Message_Osynth(X38),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_159 ),
    inference(resolution,[],[f2360,f1444]) ).

fof(f15743,plain,
    ( spl0_561
    | ~ spl0_119
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2545,f2351,f1443,f15741]) ).

fof(f15741,plain,
    ( spl0_561
  <=> ! [X38,X41,X40,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f2545,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 )
    | ~ spl0_119
    | ~ spl0_157 ),
    inference(duplicate_literal_removal,[],[f2523]) ).

fof(f2523,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_insert(X40,c_Message_Osynth(c_insert(X41,X38,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_157 ),
    inference(resolution,[],[f2352,f1444]) ).

fof(f15739,plain,
    ( spl0_560
    | ~ spl0_119
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2508,f2347,f1443,f15737]) ).

fof(f15737,plain,
    ( spl0_560
  <=> ! [X38,X41,X40,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f2508,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 )
    | ~ spl0_119
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2486]) ).

fof(f2486,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_156 ),
    inference(resolution,[],[f2348,f1444]) ).

fof(f15735,plain,
    ( spl0_559
    | ~ spl0_119
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2467,f2343,f1443,f15733]) ).

fof(f15733,plain,
    ( spl0_559
  <=> ! [X38,X41,X40,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f2467,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37 )
    | ~ spl0_119
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f2445]) ).

fof(f2445,plain,
    ( ! [X40,X38,X41,X39,X37] :
        ( c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_insert(X41,X38,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_155 ),
    inference(resolution,[],[f2344,f1444]) ).

fof(f15731,plain,
    ( spl0_558
    | ~ spl0_118
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2434,f2339,f1439,f15729]) ).

fof(f15729,plain,
    ( spl0_558
  <=> ! [X9,X11,X10] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X10),tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f1439,plain,
    ( spl0_118
  <=> ! [X13,X12,X11] :
        ( c_lessequals(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2434,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X10),tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2369]) ).

fof(f2369,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X10),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X10),tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1440]) ).

fof(f1440,plain,
    ( ! [X11,X12,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg)
        | c_lessequals(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1439]) ).

fof(f15727,plain,
    ( spl0_557
    | ~ spl0_117
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2430,f2339,f1435,f15725]) ).

fof(f15725,plain,
    ( spl0_557
  <=> ! [X24,X27,X25,X26] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X25),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f1435,plain,
    ( spl0_117
  <=> ! [X18,X20,X17,X19] :
        ( ~ c_in(c_Main_OsubsetI__1(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X20),tc_Message_Omsg)
        | c_lessequals(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2430,plain,
    ( ! [X26,X27,X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X25),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2373]) ).

fof(f2373,plain,
    ( ! [X26,X27,X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X25),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(X25),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1436]) ).

fof(f1436,plain,
    ( ! [X18,X19,X17,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X20),tc_Message_Omsg)
        | c_lessequals(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1435]) ).

fof(f15723,plain,
    ( spl0_556
    | ~ spl0_112
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2420,f2339,f1241,f15721]) ).

fof(f15721,plain,
    ( spl0_556
  <=> ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_Message_Osynth(c_insert(X54,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X53)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f2420,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_Message_Osynth(c_insert(X54,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X53)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2383]) ).

fof(f2383,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_Message_Osynth(c_insert(X54,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X53)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_Message_Osynth(c_insert(X54,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X53)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1242]) ).

fof(f15719,plain,
    ( spl0_555
    | ~ spl0_111
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2418,f2339,f1237,f15717]) ).

fof(f15717,plain,
    ( spl0_555
  <=> ! [X60,X59,X58] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59))),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f2418,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59))),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2385]) ).

fof(f2385,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59))),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59))),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1238]) ).

fof(f15715,plain,
    ( spl0_554
    | ~ spl0_109
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2417,f2339,f1229,f15713]) ).

fof(f15713,plain,
    ( spl0_554
  <=> ! [X61,X62,X63] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f2417,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2386]) ).

fof(f2386,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X63,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1230]) ).

fof(f15711,plain,
    ( spl0_553
    | ~ spl0_113
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2414,f2339,f1245,f15709]) ).

fof(f15709,plain,
    ( spl0_553
  <=> ! [X70,X71,X72] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_Message_Osynth(X71),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_insert(X72,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X71))))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f2414,plain,
    ( ! [X72,X70,X71] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_Message_Osynth(X71),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_insert(X72,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X71))))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2389]) ).

fof(f2389,plain,
    ( ! [X72,X70,X71] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_Message_Osynth(X71),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_insert(X72,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X71))))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_insert(X72,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X71))))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1246]) ).

fof(f15700,plain,
    ( spl0_552
    | ~ spl0_25
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2404,f2339,f167,f15698]) ).

fof(f15698,plain,
    ( spl0_552
  <=> ! [X108,X110,X111,X109] :
        ( c_Main_OsubsetI__1(c_insert(X108,X109,tc_Message_Omsg),c_Message_Osynth(X109),tc_Message_Omsg) = X108
        | c_lessequals(c_Message_Osynth(c_insert(X108,X109,tc_Message_Omsg)),c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X109)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f2404,plain,
    ( ! [X111,X108,X109,X110] :
        ( c_Main_OsubsetI__1(c_insert(X108,X109,tc_Message_Omsg),c_Message_Osynth(X109),tc_Message_Omsg) = X108
        | c_lessequals(c_Message_Osynth(c_insert(X108,X109,tc_Message_Omsg)),c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X109)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2399]) ).

fof(f2399,plain,
    ( ! [X111,X108,X109,X110] :
        ( c_Main_OsubsetI__1(c_insert(X108,X109,tc_Message_Omsg),c_Message_Osynth(X109),tc_Message_Omsg) = X108
        | c_lessequals(c_Message_Osynth(c_insert(X108,X109,tc_Message_Omsg)),c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X109)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X108,X109,tc_Message_Omsg)),c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X109)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f168]) ).

fof(f15696,plain,
    ( spl0_551
    | ~ spl0_140
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2292,f2176,f1901,f15694]) ).

fof(f15694,plain,
    ( spl0_551
  <=> ! [X18,X17,X16,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f2292,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 )
    | ~ spl0_140
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f2268]) ).

fof(f2268,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_148 ),
    inference(resolution,[],[f2177,f1902]) ).

fof(f15692,plain,
    ( spl0_550
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2291,f2176,f2044,f15690]) ).

fof(f15690,plain,
    ( spl0_550
  <=> ! [X19,X20,X21,X22] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f2291,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 )
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f2269]) ).

fof(f2269,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19
        | c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(resolution,[],[f2177,f2045]) ).

fof(f15688,plain,
    ( spl0_549
    | ~ spl0_140
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2261,f2172,f1901,f15686]) ).

fof(f15686,plain,
    ( spl0_549
  <=> ! [X18,X17,X16,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f2261,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 )
    | ~ spl0_140
    | ~ spl0_147 ),
    inference(duplicate_literal_removal,[],[f2237]) ).

fof(f2237,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_147 ),
    inference(resolution,[],[f2173,f1902]) ).

fof(f15684,plain,
    ( spl0_548
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2260,f2172,f2044,f15682]) ).

fof(f15682,plain,
    ( spl0_548
  <=> ! [X19,X20,X21,X22] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f2260,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 )
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(duplicate_literal_removal,[],[f2238]) ).

fof(f2238,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19
        | c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(resolution,[],[f2173,f2045]) ).

fof(f15680,plain,
    ( spl0_547
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2230,f2168,f1901,f15678]) ).

fof(f15678,plain,
    ( spl0_547
  <=> ! [X18,X17,X16,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f2230,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15 )
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f2206]) ).

fof(f2206,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X16,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(resolution,[],[f2169,f1902]) ).

fof(f15676,plain,
    ( spl0_546
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2229,f2168,f2044,f15674]) ).

fof(f15674,plain,
    ( spl0_546
  <=> ! [X19,X20,X21,X22] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f2229,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19 )
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f2207]) ).

fof(f2207,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,X20,tc_Message_Omsg),X20,tc_Message_Omsg) = X19
        | c_lessequals(c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X21,c_Message_Osynth(c_insert(X22,X20,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(resolution,[],[f2169,f2045]) ).

fof(f15672,plain,
    ( spl0_545
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2113,f2044,f1645,f15670]) ).

fof(f15670,plain,
    ( spl0_545
  <=> ! [X69,X71,X70,X68] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),X69,tc_Message_Omsg) = X68
        | c_lessequals(c_Message_Osynth(c_insert(X68,X69,tc_Message_Omsg)),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f2113,plain,
    ( ! [X70,X71,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),X69,tc_Message_Omsg) = X68
        | c_lessequals(c_Message_Osynth(c_insert(X68,X69,tc_Message_Omsg)),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2086]) ).

fof(f2086,plain,
    ( ! [X70,X71,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),X69,tc_Message_Omsg) = X68
        | c_lessequals(c_Message_Osynth(c_insert(X68,X69,tc_Message_Omsg)),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X68,X69,tc_Message_Omsg)),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1646]) ).

fof(f15668,plain,
    ( spl0_544
    | ~ spl0_128
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2112,f2044,f1625,f15666]) ).

fof(f15666,plain,
    ( spl0_544
  <=> ! [X74,X75,X73,X72] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),X73,tc_Message_Omsg) = X72
        | c_lessequals(c_Message_Osynth(c_insert(X72,X73,tc_Message_Omsg)),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f2112,plain,
    ( ! [X72,X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),X73,tc_Message_Omsg) = X72
        | c_lessequals(c_Message_Osynth(c_insert(X72,X73,tc_Message_Omsg)),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2087]) ).

fof(f2087,plain,
    ( ! [X72,X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),X73,tc_Message_Omsg) = X72
        | c_lessequals(c_Message_Osynth(c_insert(X72,X73,tc_Message_Omsg)),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X72,X73,tc_Message_Omsg)),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1626]) ).

fof(f15664,plain,
    ( spl0_543
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2111,f2044,f1621,f15662]) ).

fof(f15662,plain,
    ( spl0_543
  <=> ! [X77,X78,X76,X79] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),X77,tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f2111,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),X77,tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2088]) ).

fof(f2088,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),X77,tc_Message_Omsg) = X76
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X76,X77,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1622]) ).

fof(f15653,plain,
    ( spl0_542
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2109,f2044,f1653,f15651]) ).

fof(f15651,plain,
    ( spl0_542
  <=> ! [X85,X84,X87,X86] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),X85,tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f2109,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),X85,tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2090]) ).

fof(f2090,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),X85,tc_Message_Omsg) = X84
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X84,X85,tc_Message_Omsg)),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1654]) ).

fof(f15649,plain,
    ( spl0_541
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2108,f2044,f1629,f15647]) ).

fof(f15647,plain,
    ( spl0_541
  <=> ! [X88,X91,X90,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),X89,tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f2108,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),X89,tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2091]) ).

fof(f2091,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),X89,tc_Message_Omsg) = X88
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X88,X89,tc_Message_Omsg)),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1630]) ).

fof(f15645,plain,
    ( spl0_540
    | ~ spl0_133
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2019,f1901,f1645,f15643]) ).

fof(f15643,plain,
    ( spl0_540
  <=> ! [X69,X71,X70,X68] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f2019,plain,
    ( ! [X70,X71,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1992]) ).

fof(f1992,plain,
    ( ! [X70,X71,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X68,X69,tc_Message_Omsg),c_Message_Osynth(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_133
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1646]) ).

fof(f15641,plain,
    ( spl0_539
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2018,f1901,f1625,f15639]) ).

fof(f15639,plain,
    ( spl0_539
  <=> ! [X74,X75,X73,X72] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(X73),tc_Message_Omsg) = X72
        | c_lessequals(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f2018,plain,
    ( ! [X72,X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(X73),tc_Message_Omsg) = X72
        | c_lessequals(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1993]) ).

fof(f1993,plain,
    ( ! [X72,X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(X73),tc_Message_Omsg) = X72
        | c_lessequals(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X72,X73,tc_Message_Omsg),c_Message_Osynth(c_insert(X74,c_Message_Osynth(c_insert(X75,c_Message_Osynth(X73),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1626]) ).

fof(f15637,plain,
    ( spl0_538
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2017,f1901,f1621,f15635]) ).

fof(f15635,plain,
    ( spl0_538
  <=> ! [X77,X78,X76,X79] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f2017,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1994]) ).

fof(f1994,plain,
    ( ! [X78,X79,X76,X77] :
        ( c_Main_OsubsetI__1(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(X77),tc_Message_Omsg) = X76
        | c_lessequals(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X76,X77,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X78,c_insert(X79,c_Message_Osynth(X77),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1622]) ).

fof(f15633,plain,
    ( spl0_537
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2015,f1901,f1653,f15631]) ).

fof(f15631,plain,
    ( spl0_537
  <=> ! [X85,X84,X87,X86] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_insert(X84,X85,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f2015,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_insert(X84,X85,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1996]) ).

fof(f1996,plain,
    ( ! [X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X84,X85,tc_Message_Omsg),c_Message_Osynth(X85),tc_Message_Omsg) = X84
        | c_lessequals(c_insert(X84,X85,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X84,X85,tc_Message_Omsg),c_insert(X86,c_Message_Osynth(c_insert(X87,c_Message_Osynth(c_Message_Osynth(X85)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1654]) ).

fof(f15629,plain,
    ( spl0_536
    | ~ spl0_129
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2014,f1901,f1629,f15627]) ).

fof(f15627,plain,
    ( spl0_536
  <=> ! [X88,X91,X90,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_insert(X88,X89,tc_Message_Omsg),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f2014,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_insert(X88,X89,tc_Message_Omsg),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1997]) ).

fof(f1997,plain,
    ( ! [X90,X91,X88,X89] :
        ( c_Main_OsubsetI__1(c_insert(X88,X89,tc_Message_Omsg),c_Message_Osynth(X89),tc_Message_Omsg) = X88
        | c_lessequals(c_insert(X88,X89,tc_Message_Omsg),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X88,X89,tc_Message_Omsg),c_insert(X90,c_Message_Osynth(c_Message_Osynth(c_insert(X91,c_Message_Osynth(X89),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_129
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1630]) ).

fof(f15625,plain,
    ( spl0_535
    | ~ spl0_28
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1775,f1633,f201,f15623]) ).

fof(f15623,plain,
    ( spl0_535
  <=> ! [X119,X118,X117,X120] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X117)),X118,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X117)),X118,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X119,c_Message_Osynth(X120),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X117,X120,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f201,plain,
    ( spl0_28
  <=> ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1775,plain,
    ( ! [X120,X118,X119,X117] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X117)),X118,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X117)),X118,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X119,c_Message_Osynth(X120),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X117,X120,tc_set(tc_Message_Omsg)) )
    | ~ spl0_28
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f202]) ).

fof(f202,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f15621,plain,
    ( spl0_534
    | ~ spl0_27
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1772,f1633,f197,f15619]) ).

fof(f15619,plain,
    ( spl0_534
  <=> ! [X105,X106,X104,X107] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X104)),X105,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X104)),X105,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X106,X107,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X104,X107,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f197,plain,
    ( spl0_27
  <=> ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1772,plain,
    ( ! [X106,X107,X104,X105] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X104)),X105,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X104)),X105,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X106,X107,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_lessequals(X104,X107,tc_set(tc_Message_Omsg)) )
    | ~ spl0_27
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f198]) ).

fof(f198,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f15617,plain,
    ( spl0_533
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1561,f1443,f1439,f15615]) ).

fof(f15615,plain,
    ( spl0_533
  <=> ! [X76,X75,X74] :
        ( c_Main_OsubsetI__1(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(X75),tc_Message_Omsg) = X74
        | c_lessequals(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X76,X75,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f1561,plain,
    ( ! [X76,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(X75),tc_Message_Omsg) = X74
        | c_lessequals(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X76,X75,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1543]) ).

fof(f1543,plain,
    ( ! [X76,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(X75),tc_Message_Omsg) = X74
        | c_lessequals(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X76,X75,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X74,c_Message_Osynth(X75),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X76,X75,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1440]) ).

fof(f15605,plain,
    ( spl0_532
    | ~ spl0_117
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1560,f1443,f1435,f15603]) ).

fof(f15603,plain,
    ( spl0_532
  <=> ! [X77,X78,X80,X79] :
        ( c_Main_OsubsetI__1(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_Message_Osynth(X78),tc_Message_Omsg) = X77
        | c_lessequals(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_insert(X79,c_Message_Osynth(c_insert(X80,X78,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f1560,plain,
    ( ! [X80,X78,X79,X77] :
        ( c_Main_OsubsetI__1(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_Message_Osynth(X78),tc_Message_Omsg) = X77
        | c_lessequals(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_insert(X79,c_Message_Osynth(c_insert(X80,X78,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1544]) ).

fof(f1544,plain,
    ( ! [X80,X78,X79,X77] :
        ( c_Main_OsubsetI__1(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_Message_Osynth(X78),tc_Message_Omsg) = X77
        | c_lessequals(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_insert(X79,c_Message_Osynth(c_insert(X80,X78,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X77,c_Message_Osynth(X78),tc_Message_Omsg),c_insert(X79,c_Message_Osynth(c_insert(X80,X78,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1436]) ).

fof(f15601,plain,
    ( spl0_531
    | ~ spl0_32
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1150,f1103,f230,f15599]) ).

fof(f15599,plain,
    ( spl0_531
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f1103,plain,
    ( spl0_102
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1150,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_102 ),
    inference(resolution,[],[f1104,f231]) ).

fof(f1104,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f15597,plain,
    ( spl0_530
    | ~ spl0_32
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1144,f1099,f230,f15595]) ).

fof(f15595,plain,
    ( spl0_530
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f1099,plain,
    ( spl0_101
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1144,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_101 ),
    inference(resolution,[],[f1100,f231]) ).

fof(f1100,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f15593,plain,
    ( spl0_529
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1141,f1095,f230,f15591]) ).

fof(f15591,plain,
    ( spl0_529
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f1095,plain,
    ( spl0_100
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1141,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(resolution,[],[f1096,f231]) ).

fof(f1096,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f15589,plain,
    ( spl0_528
    | ~ spl0_15
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1126,f1087,f87,f15587]) ).

fof(f1126,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_Message_Omsg) = X14 )
    | ~ spl0_15
    | ~ spl0_98 ),
    inference(duplicate_literal_removal,[],[f1110]) ).

fof(f1110,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg),c_Message_Osynth(c_insert(X16,X15,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_98 ),
    inference(resolution,[],[f1088,f88]) ).

fof(f15585,plain,
    ( spl0_527
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1041,f1011,f286,f15583]) ).

fof(f15583,plain,
    ( spl0_527
  <=> ! [X80,X81,X79] :
        ( c_Main_OsubsetI__1(c_insert(X79,X80,tc_Message_Omsg),c_insert(X81,X80,tc_Message_Omsg),tc_Message_Omsg) = X79
        | c_in(X79,c_Message_Osynth(X80),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X81,X80,tc_Message_Omsg),c_Message_Osynth(X80),tc_Message_Omsg) = X81 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f1041,plain,
    ( ! [X80,X81,X79] :
        ( c_Main_OsubsetI__1(c_insert(X79,X80,tc_Message_Omsg),c_insert(X81,X80,tc_Message_Omsg),tc_Message_Omsg) = X79
        | c_in(X79,c_Message_Osynth(X80),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X81,X80,tc_Message_Omsg),c_Message_Osynth(X80),tc_Message_Omsg) = X81 )
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f1012,f287]) ).

fof(f15581,plain,
    ( spl0_526
    | ~ spl0_7
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f905,f895,f36,f15579]) ).

fof(f15579,plain,
    ( spl0_526
  <=> ! [X13,X14,X12,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg)
        | c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f905,plain,
    ( ! [X14,X15,X12,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg)
        | c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_81 ),
    inference(resolution,[],[f896,f37]) ).

fof(f15577,plain,
    ( spl0_525
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f872,f845,f61,f15575]) ).

fof(f15575,plain,
    ( spl0_525
  <=> ! [X0,X1] :
        ( c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f872,plain,
    ( ! [X0,X1] :
        ( c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(resolution,[],[f846,f62]) ).

fof(f15544,plain,
    ( spl0_524
    | ~ spl0_2
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f15366,f13662,f16,f15541]) ).

fof(f13662,plain,
    ( spl0_486
  <=> ! [X20] :
        ( c_in(X20,c_Message_Osynth(v_H),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f15366,plain,
    ( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_486 ),
    inference(resolution,[],[f13663,f17]) ).

fof(f13663,plain,
    ( ! [X20] :
        ( ~ c_in(X20,c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X20,c_Message_Osynth(v_H),tc_Message_Omsg) )
    | ~ spl0_486 ),
    inference(avatar_component_clause,[],[f13662]) ).

fof(f14019,plain,
    ( spl0_523
    | ~ spl0_42
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f3122,f3085,f338,f14017]) ).

fof(f14017,plain,
    ( spl0_523
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X5,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f3085,plain,
    ( spl0_178
  <=> ! [X38,X40,X36,X35,X39,X37] :
        ( c_lessequals(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X40),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f3122,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X5,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_178 ),
    inference(duplicate_literal_removal,[],[f3088]) ).

fof(f3088,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_178 ),
    inference(resolution,[],[f3086,f339]) ).

fof(f3086,plain,
    ( ! [X40,X38,X39,X36,X37,X35] :
        ( ~ c_in(c_Main_OsubsetI__1(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X40),tc_Message_Omsg)
        | c_lessequals(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f3085]) ).

fof(f14015,plain,
    ( spl0_522
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3034,f2889,f338,f14013]) ).

fof(f14013,plain,
    ( spl0_522
  <=> ! [X48,X47,X46,X50,X45,X49] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X45)),c_insert(X46,c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_Message_Osynth(X50)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X45,X50,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f3034,plain,
    ( ! [X50,X48,X46,X49,X47,X45] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X45)),c_insert(X46,c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_Message_Osynth(X50)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X45,X50,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(duplicate_literal_removal,[],[f3006]) ).

fof(f3006,plain,
    ( ! [X50,X48,X46,X49,X47,X45] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X45)),c_insert(X46,c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_Message_Osynth(X50)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X45,X50,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X45)),c_insert(X46,c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_Message_Osynth(X50)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(resolution,[],[f2890,f339]) ).

fof(f14011,plain,
    ( spl0_521
    | ~ spl0_11
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2985,f2885,f61,f14009]) ).

fof(f14009,plain,
    ( spl0_521
  <=> ! [X70,X71,X72] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_insert(X72,X71,tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X72,X71,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f2985,plain,
    ( ! [X72,X70,X71] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_insert(X72,X71,tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X72,X71,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2914]) ).

fof(f2914,plain,
    ( ! [X72,X70,X71] :
        ( c_Main_OsubsetI__1(c_insert(X70,X71,tc_Message_Omsg),c_insert(X72,X71,tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X72,X71,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X70,X71,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X72,X71,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f62]) ).

fof(f14007,plain,
    ( spl0_520
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2711,f2610,f245,f14005]) ).

fof(f14005,plain,
    ( spl0_520
  <=> ! [X12,X11,X10] :
        ( c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_insert(X12,X11,tc_Message_Omsg),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X11,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f2711,plain,
    ( ! [X10,X11,X12] :
        ( c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_insert(X12,X11,tc_Message_Omsg),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X11,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2649]) ).

fof(f2649,plain,
    ( ! [X10,X11,X12] :
        ( c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_insert(X12,X11,tc_Message_Omsg),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X11,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X11,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f246]) ).

fof(f14003,plain,
    ( spl0_519
    | ~ spl0_14
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2709,f2610,f79,f14001]) ).

fof(f14001,plain,
    ( spl0_519
  <=> ! [X18,X17,X16,X19,X20] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,X18),c_insert(X19,X17,X18),X18) = X16
        | c_lessequals(c_insert(X16,X17,X18),c_insert(X20,c_insert(X19,X17,X18),X18),tc_set(X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f2709,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,X18),c_insert(X19,X17,X18),X18) = X16
        | c_lessequals(c_insert(X16,X17,X18),c_insert(X20,c_insert(X19,X17,X18),X18),tc_set(X18)) )
    | ~ spl0_14
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2651]) ).

fof(f2651,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,X18),c_insert(X19,X17,X18),X18) = X16
        | c_lessequals(c_insert(X16,X17,X18),c_insert(X20,c_insert(X19,X17,X18),X18),tc_set(X18))
        | c_lessequals(c_insert(X16,X17,X18),c_insert(X20,c_insert(X19,X17,X18),X18),tc_set(X18)) )
    | ~ spl0_14
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f80]) ).

fof(f13999,plain,
    ( spl0_518
    | ~ spl0_114
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2435,f2339,f1378,f13997]) ).

fof(f13997,plain,
    ( spl0_518
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f1378,plain,
    ( spl0_114
  <=> ! [X4,X5,X3] :
        ( ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Osynth(X5),tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2435,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2368]) ).

fof(f2368,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1379]) ).

fof(f1379,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Osynth(X5),tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f1378]) ).

fof(f13995,plain,
    ( spl0_517
    | ~ spl0_412
    | ~ spl0_446
    | spl0_449 ),
    inference(avatar_split_clause,[],[f13948,f12536,f12270,f11210,f13992]) ).

fof(f13992,plain,
    ( spl0_517
  <=> v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f11210,plain,
    ( spl0_412
  <=> ! [X6,X7] :
        ( c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f12270,plain,
    ( spl0_446
  <=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f12536,plain,
    ( spl0_449
  <=> c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f13948,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_412
    | ~ spl0_446
    | spl0_449 ),
    inference(forward_demodulation,[],[f13945,f12272]) ).

fof(f12272,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_446 ),
    inference(avatar_component_clause,[],[f12270]) ).

fof(f13945,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_412
    | spl0_449 ),
    inference(resolution,[],[f12537,f11211]) ).

fof(f11211,plain,
    ( ! [X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) )
    | ~ spl0_412 ),
    inference(avatar_component_clause,[],[f11210]) ).

fof(f12537,plain,
    ( ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
    | spl0_449 ),
    inference(avatar_component_clause,[],[f12536]) ).

fof(f13990,plain,
    ( spl0_516
    | ~ spl0_40
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2421,f2339,f290,f13988]) ).

fof(f13988,plain,
    ( spl0_516
  <=> ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_insert(X51,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X50))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f2421,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_insert(X51,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X50))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2382]) ).

fof(f2382,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_insert(X51,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X50))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_insert(X51,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X50))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f291]) ).

fof(f13986,plain,
    ( spl0_515
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2419,f2339,f278,f13984]) ).

fof(f13984,plain,
    ( spl0_515
  <=> ! [X57,X55,X56] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X57,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f2419,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X57,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2384]) ).

fof(f2384,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X57,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X57,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f279]) ).

fof(f13982,plain,
    ( spl0_514
    | ~ spl0_41
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2415,f2339,f294,f13980]) ).

fof(f13980,plain,
    ( spl0_514
  <=> ! [X69,X68,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,X68,tc_Message_Omsg),c_Message_Osynth(X68),tc_Message_Omsg) = X67
        | c_lessequals(c_Message_Osynth(c_insert(X67,X68,tc_Message_Omsg)),c_insert(X69,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X68)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f2415,plain,
    ( ! [X68,X69,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,X68,tc_Message_Omsg),c_Message_Osynth(X68),tc_Message_Omsg) = X67
        | c_lessequals(c_Message_Osynth(c_insert(X67,X68,tc_Message_Omsg)),c_insert(X69,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X68)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2388]) ).

fof(f2388,plain,
    ( ! [X68,X69,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,X68,tc_Message_Omsg),c_Message_Osynth(X68),tc_Message_Omsg) = X67
        | c_lessequals(c_Message_Osynth(c_insert(X67,X68,tc_Message_Omsg)),c_insert(X69,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X68)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X67,X68,tc_Message_Omsg)),c_insert(X69,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X68)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f295]) ).

fof(f13978,plain,
    ( spl0_513
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2132,f2044,f1885,f13976]) ).

fof(f13976,plain,
    ( spl0_513
  <=> ! [X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),X13,tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f2132,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),X13,tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2067]) ).

fof(f2067,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),X13,tc_Message_Omsg) = X12
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1886]) ).

fof(f13974,plain,
    ( spl0_512
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2130,f2044,f1893,f13972]) ).

fof(f13972,plain,
    ( spl0_512
  <=> ! [X20,X21,X23,X22] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),X21,tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f2130,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),X21,tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2069]) ).

fof(f2069,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),X21,tc_Message_Omsg) = X20
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X20,X21,tc_Message_Omsg)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1894]) ).

fof(f13970,plain,
    ( spl0_511
    | ~ spl0_46
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2114,f2044,f400,f13968]) ).

fof(f13968,plain,
    ( spl0_511
  <=> ! [X65,X64,X67,X66] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),X65,tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f2114,plain,
    ( ! [X65,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),X65,tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2085]) ).

fof(f2085,plain,
    ( ! [X65,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),X65,tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f401]) ).

fof(f13966,plain,
    ( spl0_510
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2110,f2044,f404,f13964]) ).

fof(f13964,plain,
    ( spl0_510
  <=> ! [X82,X81,X80,X83] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),X81,tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f2110,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),X81,tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2089]) ).

fof(f2089,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),X81,tc_Message_Omsg) = X80
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X80,X81,tc_Message_Omsg)),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f405]) ).

fof(f13962,plain,
    ( spl0_509
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2107,f2044,f412,f13960]) ).

fof(f13960,plain,
    ( spl0_509
  <=> ! [X94,X95,X93,X92] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),X93,tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f2107,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),X93,tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2092]) ).

fof(f2092,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),X93,tc_Message_Omsg) = X92
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X92,X93,tc_Message_Omsg)),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f413]) ).

fof(f13958,plain,
    ( spl0_508
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2038,f1901,f1885,f13956]) ).

fof(f13956,plain,
    ( spl0_508
  <=> ! [X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f2038,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1973]) ).

fof(f1973,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) = X12
        | c_lessequals(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X12,X13,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1886]) ).

fof(f13954,plain,
    ( spl0_507
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2036,f1901,f1893,f13952]) ).

fof(f13952,plain,
    ( spl0_507
  <=> ! [X20,X21,X23,X22] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_insert(X20,X21,tc_Message_Omsg),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f2036,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_insert(X20,X21,tc_Message_Omsg),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1975]) ).

fof(f1975,plain,
    ( ! [X21,X22,X23,X20] :
        ( c_Main_OsubsetI__1(c_insert(X20,X21,tc_Message_Omsg),c_Message_Osynth(X21),tc_Message_Omsg) = X20
        | c_lessequals(c_insert(X20,X21,tc_Message_Omsg),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X20,X21,tc_Message_Omsg),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_insert(X23,X21,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1894]) ).

fof(f13943,plain,
    ( spl0_506
    | ~ spl0_46
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2020,f1901,f400,f13941]) ).

fof(f13941,plain,
    ( spl0_506
  <=> ! [X65,X64,X67,X66] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f2020,plain,
    ( ! [X65,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1991]) ).

fof(f1991,plain,
    ( ! [X65,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(c_insert(X66,c_insert(X67,c_Message_Osynth(X65),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f401]) ).

fof(f13939,plain,
    ( spl0_505
    | ~ spl0_47
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2016,f1901,f404,f13937]) ).

fof(f13937,plain,
    ( spl0_505
  <=> ! [X82,X81,X80,X83] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_insert(X80,X81,tc_Message_Omsg),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f2016,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_insert(X80,X81,tc_Message_Omsg),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1995]) ).

fof(f1995,plain,
    ( ! [X82,X83,X80,X81] :
        ( c_Main_OsubsetI__1(c_insert(X80,X81,tc_Message_Omsg),c_Message_Osynth(X81),tc_Message_Omsg) = X80
        | c_lessequals(c_insert(X80,X81,tc_Message_Omsg),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X80,X81,tc_Message_Omsg),c_insert(X82,c_Message_Osynth(c_insert(X83,c_Message_Osynth(X81),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f405]) ).

fof(f13935,plain,
    ( spl0_504
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2013,f1901,f412,f13933]) ).

fof(f13933,plain,
    ( spl0_504
  <=> ! [X94,X95,X93,X92] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_insert(X92,X93,tc_Message_Omsg),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f2013,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_insert(X92,X93,tc_Message_Omsg),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1998]) ).

fof(f1998,plain,
    ( ! [X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X92,X93,tc_Message_Omsg),c_Message_Osynth(X93),tc_Message_Omsg) = X92
        | c_lessequals(c_insert(X92,X93,tc_Message_Omsg),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X92,X93,tc_Message_Omsg),c_insert(X94,c_insert(X95,c_Message_Osynth(c_Message_Osynth(X93)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f413]) ).

fof(f13931,plain,
    ( spl0_503
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1779,f1633,f100,f13929]) ).

fof(f13929,plain,
    ( spl0_503
  <=> ! [X136,X138,X135,X137] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X135)),X136,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X135)),X136,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X137,X138,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X135,X138,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f100,plain,
    ( spl0_16
  <=> ! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1779,plain,
    ( ! [X138,X136,X137,X135] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X135)),X136,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X135)),X136,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X137,X138,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_lessequals(X135,X138,tc_set(tc_Message_Omsg)) )
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f101]) ).

fof(f101,plain,
    ( ! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f13927,plain,
    ( spl0_502
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1769,f1633,f267,f13925]) ).

fof(f13925,plain,
    ( spl0_502
  <=> ! [X96,X94,X95] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X94)),X95,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X94)),X95,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X96))))),tc_Message_Omsg)
        | ~ c_lessequals(X94,X96,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f267,plain,
    ( spl0_35
  <=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1769,plain,
    ( ! [X96,X94,X95] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X94)),X95,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X94)),X95,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X96))))),tc_Message_Omsg)
        | ~ c_lessequals(X94,X96,tc_set(tc_Message_Omsg)) )
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f268]) ).

fof(f268,plain,
    ( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_set(tc_Message_Omsg))
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f13923,plain,
    ( spl0_501
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1589,f1451,f20,f13921]) ).

fof(f13921,plain,
    ( spl0_501
  <=> ! [X13,X14,X15] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f1451,plain,
    ( spl0_121
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) = X0
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1589,plain,
    ( ! [X14,X15,X13] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(resolution,[],[f1452,f21]) ).

fof(f1452,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) = X0 )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f13919,plain,
    ( spl0_500
    | ~ spl0_53
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1565,f1443,f477,f13917]) ).

fof(f13917,plain,
    ( spl0_500
  <=> ! [X61,X60,X64,X63,X59,X62] :
        ( c_Main_OsubsetI__1(c_insert(X59,X60,X61),X60,X61) = X59
        | c_lessequals(c_insert(X59,X60,X61),c_insert(X62,c_insert(X63,c_insert(X64,X60,X61),X61),X61),tc_set(X61)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f1565,plain,
    ( ! [X59,X62,X63,X60,X61,X64] :
        ( c_Main_OsubsetI__1(c_insert(X59,X60,X61),X60,X61) = X59
        | c_lessequals(c_insert(X59,X60,X61),c_insert(X62,c_insert(X63,c_insert(X64,X60,X61),X61),X61),tc_set(X61)) )
    | ~ spl0_53
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1539]) ).

fof(f1539,plain,
    ( ! [X59,X62,X63,X60,X61,X64] :
        ( c_Main_OsubsetI__1(c_insert(X59,X60,X61),X60,X61) = X59
        | c_lessequals(c_insert(X59,X60,X61),c_insert(X62,c_insert(X63,c_insert(X64,X60,X61),X61),X61),tc_set(X61))
        | c_lessequals(c_insert(X59,X60,X61),c_insert(X62,c_insert(X63,c_insert(X64,X60,X61),X61),X61),tc_set(X61)) )
    | ~ spl0_53
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f478]) ).

fof(f13915,plain,
    ( spl0_499
    | ~ spl0_114
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1562,f1443,f1378,f13913]) ).

fof(f13913,plain,
    ( spl0_499
  <=> ! [X73,X71,X72] :
        ( c_Main_OsubsetI__1(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(X72),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X73,X72,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f1562,plain,
    ( ! [X72,X73,X71] :
        ( c_Main_OsubsetI__1(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(X72),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X73,X72,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1542]) ).

fof(f1542,plain,
    ( ! [X72,X73,X71] :
        ( c_Main_OsubsetI__1(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(X72),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X73,X72,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X71,c_Message_Osynth(X72),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X73,X72,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1379]) ).

fof(f13911,plain,
    ( spl0_498
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1227,f1170,f44,f13909]) ).

fof(f13909,plain,
    ( spl0_498
  <=> ! [X17,X13,X14,X12,X16,X15] :
        ( ~ c_lessequals(X12,X13,tc_set(tc_Message_Omsg))
        | c_in(X14,c_insert(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f1227,plain,
    ( ! [X16,X14,X17,X15,X12,X13] :
        ( ~ c_lessequals(X12,X13,tc_set(tc_Message_Omsg))
        | c_in(X14,c_insert(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(resolution,[],[f1171,f45]) ).

fof(f13907,plain,
    ( spl0_497
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1210,f1162,f44,f13905]) ).

fof(f13905,plain,
    ( spl0_497
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg)
        | ~ c_in(X8,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f1210,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg)
        | ~ c_in(X8,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(resolution,[],[f1163,f45]) ).

fof(f13897,plain,
    ( spl0_496
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1151,f1103,f69,f13895]) ).

fof(f13895,plain,
    ( spl0_496
  <=> ! [X5,X9,X7,X6,X8] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f1151,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(resolution,[],[f1104,f70]) ).

fof(f13893,plain,
    ( spl0_495
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1145,f1099,f69,f13891]) ).

fof(f13891,plain,
    ( spl0_495
  <=> ! [X5,X9,X7,X6,X8] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f1145,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_Message_Osynth(c_insert(X9,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_101 ),
    inference(resolution,[],[f1100,f70]) ).

fof(f13889,plain,
    ( spl0_494
    | ~ spl0_94
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1133,f1091,f1011,f13887]) ).

fof(f13887,plain,
    ( spl0_494
  <=> ! [X6,X5,X7] :
        ( c_in(X5,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),X6,tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f1133,plain,
    ( ! [X6,X7,X5] :
        ( c_in(X5,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X7,X6,tc_Message_Omsg),X6,tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5 )
    | ~ spl0_94
    | ~ spl0_99 ),
    inference(resolution,[],[f1092,f1012]) ).

fof(f13885,plain,
    ( spl0_493
    | ~ spl0_32
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1083,f1047,f230,f13883]) ).

fof(f13883,plain,
    ( spl0_493
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f1047,plain,
    ( spl0_96
  <=> ! [X29,X27,X28,X26] :
        ( ~ c_lessequals(X26,X27,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X26)),c_insert(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1083,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_insert(X4,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_96 ),
    inference(resolution,[],[f1048,f231]) ).

fof(f1048,plain,
    ( ! [X28,X29,X26,X27] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X26)),c_insert(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X26,X27,tc_set(tc_Message_Omsg)) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f13881,plain,
    ( spl0_492
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f746,f741,f106,f13879]) ).

fof(f13879,plain,
    ( spl0_492
  <=> ! [X6,X5] :
        ( c_Main_OsubsetI__1(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),X6,tc_Message_Omsg),X6,tc_Message_Omsg)
        | c_lessequals(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f746,plain,
    ( ! [X6,X5] :
        ( c_Main_OsubsetI__1(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),X6,tc_Message_Omsg),X6,tc_Message_Omsg)
        | c_lessequals(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f107]) ).

fof(f13877,plain,
    ( spl0_491
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f714,f675,f245,f13875]) ).

fof(f13875,plain,
    ( spl0_491
  <=> ! [X6,X8,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)))),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f714,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)))),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(resolution,[],[f676,f246]) ).

fof(f13873,plain,
    ( spl0_490
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f696,f671,f245,f13871]) ).

fof(f13871,plain,
    ( spl0_490
  <=> ! [X6,X8,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))))),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f696,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))))),tc_Message_Omsg),X8,tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(resolution,[],[f672,f246]) ).

fof(f13869,plain,
    ( spl0_489
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f395,f294,f209,f13867]) ).

fof(f13867,plain,
    ( spl0_489
  <=> ! [X22,X20,X21] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X22)))),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg)
        | c_lessequals(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X22)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f395,plain,
    ( ! [X21,X22,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X22)))),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg)
        | c_lessequals(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X22)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(resolution,[],[f210,f295]) ).

fof(f13865,plain,
    ( spl0_488
    | ~ spl0_29
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f393,f278,f209,f13863]) ).

fof(f13863,plain,
    ( spl0_488
  <=> ! [X16,X14,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg))),tc_Message_Omsg),X16,tc_Message_Omsg)
        | c_lessequals(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f393,plain,
    ( ! [X16,X14,X15] :
        ( ~ c_in(c_Main_OsubsetI__1(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg))),tc_Message_Omsg),X16,tc_Message_Omsg)
        | c_lessequals(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_29
    | ~ spl0_37 ),
    inference(resolution,[],[f210,f279]) ).

fof(f13861,plain,
    ( spl0_487
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f392,f290,f209,f13859]) ).

fof(f13859,plain,
    ( spl0_487
  <=> ! [X13,X12,X11] :
        ( ~ c_in(c_Main_OsubsetI__1(X11,c_Message_Osynth(c_insert(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X13))),tc_Message_Omsg)),tc_Message_Omsg),X13,tc_Message_Omsg)
        | c_lessequals(X11,c_Message_Osynth(c_insert(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X13))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f392,plain,
    ( ! [X11,X12,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X11,c_Message_Osynth(c_insert(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X13))),tc_Message_Omsg)),tc_Message_Omsg),X13,tc_Message_Omsg)
        | c_lessequals(X11,c_Message_Osynth(c_insert(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X13))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(resolution,[],[f210,f291]) ).

fof(f13664,plain,
    ( spl0_486
    | ~ spl0_8
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f13498,f12536,f44,f13662]) ).

fof(f13498,plain,
    ( ! [X20] :
        ( c_in(X20,c_Message_Osynth(v_H),tc_Message_Omsg)
        | ~ c_in(X20,c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_449 ),
    inference(resolution,[],[f12538,f45]) ).

fof(f12538,plain,
    ( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
    | ~ spl0_449 ),
    inference(avatar_component_clause,[],[f12536]) ).

fof(f12687,plain,
    ( spl0_485
    | ~ spl0_7
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2981,f2885,f36,f12685]) ).

fof(f12685,plain,
    ( spl0_485
  <=> ! [X82,X84,X83] :
        ( c_Main_OsubsetI__1(c_insert(X82,X83,tc_Message_Omsg),c_insert(X84,X83,tc_Message_Omsg),tc_Message_Omsg) = X82
        | c_lessequals(c_Message_Osynth(c_insert(X82,X83,tc_Message_Omsg)),c_Message_Osynth(c_insert(X84,X83,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f2981,plain,
    ( ! [X82,X83,X84] :
        ( c_Main_OsubsetI__1(c_insert(X82,X83,tc_Message_Omsg),c_insert(X84,X83,tc_Message_Omsg),tc_Message_Omsg) = X82
        | c_lessequals(c_Message_Osynth(c_insert(X82,X83,tc_Message_Omsg)),c_Message_Osynth(c_insert(X84,X83,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_170 ),
    inference(duplicate_literal_removal,[],[f2918]) ).

fof(f2918,plain,
    ( ! [X82,X83,X84] :
        ( c_Main_OsubsetI__1(c_insert(X82,X83,tc_Message_Omsg),c_insert(X84,X83,tc_Message_Omsg),tc_Message_Omsg) = X82
        | c_lessequals(c_Message_Osynth(c_insert(X82,X83,tc_Message_Omsg)),c_Message_Osynth(c_insert(X84,X83,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X82,X83,tc_Message_Omsg)),c_Message_Osynth(c_insert(X84,X83,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_170 ),
    inference(resolution,[],[f2886,f37]) ).

fof(f12683,plain,
    ( spl0_484
    | ~ spl0_17
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2712,f2610,f106,f12681]) ).

fof(f12681,plain,
    ( spl0_484
  <=> ! [X9,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f2712,plain,
    ( ! [X8,X9,X7] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2648]) ).

fof(f2648,plain,
    ( ! [X8,X9,X7] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f107]) ).

fof(f12679,plain,
    ( spl0_483
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2553,f2355,f16,f12677]) ).

fof(f12677,plain,
    ( spl0_483
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_in(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4)
        | c_Main_OsubsetI__1(c_insert(X0,X3,X4),c_insert(X1,c_insert(X2,X3,X4),X4),X4) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f2355,plain,
    ( spl0_158
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,c_insert(X4,X1,X2),X2),X2) = X0
        | c_in(X5,c_insert(X3,c_insert(X4,X1,X2),X2),X2)
        | ~ c_in(X5,c_insert(X0,X1,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2553,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_in(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4)
        | c_Main_OsubsetI__1(c_insert(X0,X3,X4),c_insert(X1,c_insert(X2,X3,X4),X4),X4) = X0 )
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(resolution,[],[f2356,f17]) ).

fof(f2356,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ c_in(X5,c_insert(X0,X1,X2),X2)
        | c_in(X5,c_insert(X3,c_insert(X4,X1,X2),X2),X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,c_insert(X4,X1,X2),X2),X2) = X0 )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f2355]) ).

fof(f12675,plain,
    ( spl0_482
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2436,f2339,f1154,f12673]) ).

fof(f12673,plain,
    ( spl0_482
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,c_Message_Osynth(X4),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f2436,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,c_Message_Osynth(X4),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2367]) ).

fof(f2367,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,c_Message_Osynth(X4),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,c_Message_Osynth(X4),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1155]) ).

fof(f12671,plain,
    ( spl0_481
    | ~ spl0_95
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2424,f2339,f1043,f12669]) ).

fof(f12669,plain,
    ( spl0_481
  <=> ! [X43,X42] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,tc_Message_Omsg),c_Message_Osynth(X43),tc_Message_Omsg) = X42
        | c_lessequals(c_Message_Osynth(c_insert(X42,X43,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X43)))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f2424,plain,
    ( ! [X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,tc_Message_Omsg),c_Message_Osynth(X43),tc_Message_Omsg) = X42
        | c_lessequals(c_Message_Osynth(c_insert(X42,X43,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X43)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2379]) ).

fof(f2379,plain,
    ( ! [X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,tc_Message_Omsg),c_Message_Osynth(X43),tc_Message_Omsg) = X42
        | c_lessequals(c_Message_Osynth(c_insert(X42,X43,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X43)))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X42,X43,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X43)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1044]) ).

fof(f12667,plain,
    ( spl0_480
    | ~ spl0_22
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2422,f2339,f139,f12665]) ).

fof(f12665,plain,
    ( spl0_480
  <=> ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f2422,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2381]) ).

fof(f2381,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f140]) ).

fof(f12663,plain,
    ( spl0_479
    | ~ spl0_23
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2416,f2339,f143,f12661]) ).

fof(f12661,plain,
    ( spl0_479
  <=> ! [X66,X64,X65] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_insert(X66,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X65))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f2416,plain,
    ( ! [X65,X66,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_insert(X66,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X65))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2387]) ).

fof(f2387,plain,
    ( ! [X65,X66,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,X65,tc_Message_Omsg),c_Message_Osynth(X65),tc_Message_Omsg) = X64
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_insert(X66,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X65))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X64,X65,tc_Message_Omsg)),c_insert(X66,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X65))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f144]) ).

fof(f12659,plain,
    ( spl0_478
    | ~ spl0_118
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2133,f2044,f1439,f12657]) ).

fof(f12657,plain,
    ( spl0_478
  <=> ! [X9,X11,X10] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f2133,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2066]) ).

fof(f2066,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1440]) ).

fof(f12655,plain,
    ( spl0_477
    | ~ spl0_117
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2131,f2044,f1435,f12653]) ).

fof(f12653,plain,
    ( spl0_477
  <=> ! [X18,X17,X16,X19] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),X17,tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f2131,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),X17,tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2068]) ).

fof(f2068,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),X17,tc_Message_Omsg) = X16
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X16,X17,tc_Message_Omsg)),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1436]) ).

fof(f12651,plain,
    ( spl0_476
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2122,f2044,f1241,f12649]) ).

fof(f12649,plain,
    ( spl0_476
  <=> ! [X41,X40,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),X41,tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f2122,plain,
    ( ! [X40,X41,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),X41,tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2077]) ).

fof(f2077,plain,
    ( ! [X40,X41,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),X41,tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1242]) ).

fof(f12647,plain,
    ( spl0_475
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2120,f2044,f1237,f12645]) ).

fof(f12645,plain,
    ( spl0_475
  <=> ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),X47,tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f2120,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),X47,tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2079]) ).

fof(f2079,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),X47,tc_Message_Omsg) = X46
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X46,X47,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1238]) ).

fof(f12643,plain,
    ( spl0_474
    | ~ spl0_109
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2119,f2044,f1229,f12641]) ).

fof(f12641,plain,
    ( spl0_474
  <=> ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),X50,tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f2119,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),X50,tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2080]) ).

fof(f2080,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),X50,tc_Message_Omsg) = X49
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X49,X50,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1230]) ).

fof(f12639,plain,
    ( spl0_473
    | ~ spl0_113
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2116,f2044,f1245,f12637]) ).

fof(f12637,plain,
    ( spl0_473
  <=> ! [X60,X59,X58] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),X59,tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f2116,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),X59,tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2083]) ).

fof(f2083,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),X59,tc_Message_Omsg) = X58
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X58,X59,tc_Message_Omsg)),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1246]) ).

fof(f12635,plain,
    ( spl0_472
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2106,f2044,f167,f12633]) ).

fof(f12633,plain,
    ( spl0_472
  <=> ! [X99,X98,X97,X96] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),X97,tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f2106,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),X97,tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2093]) ).

fof(f2093,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),X97,tc_Message_Omsg) = X96
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X96,X97,tc_Message_Omsg)),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f168]) ).

fof(f12631,plain,
    ( spl0_471
    | ~ spl0_72
    | spl0_450 ),
    inference(avatar_split_clause,[],[f12586,f12540,f741,f12628]) ).

fof(f12586,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | ~ spl0_72
    | spl0_450 ),
    inference(resolution,[],[f12542,f742]) ).

fof(f12626,plain,
    ( spl0_470
    | ~ spl0_118
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2039,f1901,f1439,f12624]) ).

fof(f12624,plain,
    ( spl0_470
  <=> ! [X9,X11,X10] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f2039,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1972]) ).

fof(f1972,plain,
    ( ! [X10,X11,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X10,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_118
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1440]) ).

fof(f12622,plain,
    ( spl0_469
    | ~ spl0_117
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2037,f1901,f1435,f12620]) ).

fof(f12620,plain,
    ( spl0_469
  <=> ! [X18,X17,X16,X19] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_insert(X16,X17,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f2037,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_insert(X16,X17,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1974]) ).

fof(f1974,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_Main_OsubsetI__1(c_insert(X16,X17,tc_Message_Omsg),c_Message_Osynth(X17),tc_Message_Omsg) = X16
        | c_lessequals(c_insert(X16,X17,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X16,X17,tc_Message_Omsg),c_insert(X18,c_Message_Osynth(c_insert(X19,X17,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_117
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1436]) ).

fof(f12618,plain,
    ( spl0_468
    | ~ spl0_112
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2028,f1901,f1241,f12616]) ).

fof(f12616,plain,
    ( spl0_468
  <=> ! [X41,X40,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f2028,plain,
    ( ! [X40,X41,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1983]) ).

fof(f1983,plain,
    ( ! [X40,X41,X42] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(c_insert(X42,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1242]) ).

fof(f12614,plain,
    ( spl0_467
    | ~ spl0_111
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2026,f1901,f1237,f12612]) ).

fof(f12612,plain,
    ( spl0_467
  <=> ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f2026,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1985]) ).

fof(f1985,plain,
    ( ! [X48,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(X47),tc_Message_Omsg) = X46
        | c_lessequals(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X46,X47,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X47)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1238]) ).

fof(f12610,plain,
    ( spl0_466
    | ~ spl0_109
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2025,f1901,f1229,f12608]) ).

fof(f12608,plain,
    ( spl0_466
  <=> ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f2025,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1986]) ).

fof(f1986,plain,
    ( ! [X50,X51,X49] :
        ( c_Main_OsubsetI__1(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(X50),tc_Message_Omsg) = X49
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X49,X50,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X51,c_Message_Osynth(X50),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1230]) ).

fof(f12606,plain,
    ( spl0_465
    | ~ spl0_113
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2022,f1901,f1245,f12604]) ).

fof(f12604,plain,
    ( spl0_465
  <=> ! [X60,X59,X58] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,X59,tc_Message_Omsg),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f2022,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,X59,tc_Message_Omsg),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1989]) ).

fof(f1989,plain,
    ( ! [X58,X59,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,X59,tc_Message_Omsg),c_Message_Osynth(X59),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,X59,tc_Message_Omsg),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X58,X59,tc_Message_Omsg),c_insert(X60,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X59)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1246]) ).

fof(f12602,plain,
    ( spl0_464
    | ~ spl0_25
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2012,f1901,f167,f12600]) ).

fof(f12600,plain,
    ( spl0_464
  <=> ! [X99,X98,X97,X96] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_insert(X96,X97,tc_Message_Omsg),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f2012,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_insert(X96,X97,tc_Message_Omsg),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1999]) ).

fof(f1999,plain,
    ( ! [X98,X99,X96,X97] :
        ( c_Main_OsubsetI__1(c_insert(X96,X97,tc_Message_Omsg),c_Message_Osynth(X97),tc_Message_Omsg) = X96
        | c_lessequals(c_insert(X96,X97,tc_Message_Omsg),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X96,X97,tc_Message_Omsg),c_insert(X98,c_insert(X99,c_Message_Osynth(X97),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f168]) ).

fof(f12598,plain,
    ( spl0_463
    | ~ spl0_119
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1879,f1653,f1443,f12596]) ).

fof(f12596,plain,
    ( spl0_463
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f1879,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1857]) ).

fof(f1857,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_135 ),
    inference(resolution,[],[f1654,f1444]) ).

fof(f12594,plain,
    ( spl0_462
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1848,f1645,f1443,f12592]) ).

fof(f12592,plain,
    ( spl0_462
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f1848,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f1826]) ).

fof(f1826,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_insert(X21,c_Message_Osynth(X19),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_133 ),
    inference(resolution,[],[f1646,f1444]) ).

fof(f12590,plain,
    ( spl0_461
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1768,f1633,f116,f12588]) ).

fof(f12588,plain,
    ( spl0_461
  <=> ! [X93,X92,X91] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X91)),X92,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X91)),X92,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X93)))),tc_Message_Omsg)
        | ~ c_lessequals(X91,X93,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f116,plain,
    ( spl0_18
  <=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1768,plain,
    ( ! [X91,X92,X93] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X91)),X92,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X91)),X92,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X93)))),tc_Message_Omsg)
        | ~ c_lessequals(X91,X93,tc_set(tc_Message_Omsg)) )
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(resolution,[],[f1634,f117]) ).

fof(f117,plain,
    ( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f12583,plain,
    ( spl0_460
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1744,f1629,f1443,f12581]) ).

fof(f12581,plain,
    ( spl0_460
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f1744,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f1722]) ).

fof(f1722,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_insert(X20,c_Message_Osynth(c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(resolution,[],[f1630,f1444]) ).

fof(f12579,plain,
    ( spl0_459
    | ~ spl0_119
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1713,f1625,f1443,f12577]) ).

fof(f12577,plain,
    ( spl0_459
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f1713,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_128 ),
    inference(duplicate_literal_removal,[],[f1691]) ).

fof(f1691,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(c_insert(X21,X19,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_128 ),
    inference(resolution,[],[f1626,f1444]) ).

fof(f12575,plain,
    ( spl0_458
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1682,f1621,f1443,f12573]) ).

fof(f12573,plain,
    ( spl0_458
  <=> ! [X18,X19,X20,X21] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_insert(X21,X19,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f1682,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_insert(X21,X19,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18 )
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(duplicate_literal_removal,[],[f1660]) ).

fof(f1660,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_insert(X21,X19,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X20,c_insert(X21,X19,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(resolution,[],[f1622,f1444]) ).

fof(f12571,plain,
    ( spl0_457
    | ~ spl0_103
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1563,f1443,f1154,f12569]) ).

fof(f12569,plain,
    ( spl0_457
  <=> ! [X70,X69,X68] :
        ( c_Main_OsubsetI__1(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X70,X69,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f1563,plain,
    ( ! [X70,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X70,X69,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1541]) ).

fof(f1541,plain,
    ( ! [X70,X68,X69] :
        ( c_Main_OsubsetI__1(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(X69),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X70,X69,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X68,c_Message_Osynth(X69),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X70,X69,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1155]) ).

fof(f12567,plain,
    ( spl0_456
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1428,f1421,f20,f12565]) ).

fof(f12565,plain,
    ( spl0_456
  <=> ! [X13,X14,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg) = X13
        | c_in(X15,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14))),tc_Message_Omsg)
        | ~ c_in(X15,c_insert(X13,X14,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f1421,plain,
    ( spl0_116
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg) = X3
        | ~ c_in(X5,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1428,plain,
    ( ! [X14,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg) = X13
        | c_in(X15,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14))),tc_Message_Omsg)
        | ~ c_in(X15,c_insert(X13,X14,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_116 ),
    inference(resolution,[],[f1422,f21]) ).

fof(f1422,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(X5,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f12563,plain,
    ( spl0_455
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1084,f1047,f69,f12561]) ).

fof(f12561,plain,
    ( spl0_455
  <=> ! [X5,X9,X7,X6,X8] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f1084,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_lessequals(X5,X6,tc_set(tc_Message_Omsg))
        | ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(resolution,[],[f1048,f70]) ).

fof(f12559,plain,
    ( spl0_454
    | ~ spl0_15
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1074,f1043,f87,f12557]) ).

fof(f12557,plain,
    ( spl0_454
  <=> ! [X11,X10] :
        ( c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_Message_Omsg) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f1074,plain,
    ( ! [X10,X11] :
        ( c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_Message_Omsg) = X10 )
    | ~ spl0_15
    | ~ spl0_95 ),
    inference(duplicate_literal_removal,[],[f1054]) ).

fof(f1054,plain,
    ( ! [X10,X11] :
        ( c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X10,X11,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_95 ),
    inference(resolution,[],[f1044,f88]) ).

fof(f12555,plain,
    ( spl0_453
    | ~ spl0_34
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1039,f1011,f258,f12553]) ).

fof(f12553,plain,
    ( spl0_453
  <=> ! [X74,X71,X73,X72] :
        ( c_Main_OsubsetI__1(c_insert(X71,X72,X73),c_insert(X74,X72,X73),X73) = X71
        | c_in(X71,X72,X73)
        | c_Main_OsubsetI__1(c_insert(X74,X72,X73),X72,X73) = X74 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f1039,plain,
    ( ! [X72,X73,X71,X74] :
        ( c_Main_OsubsetI__1(c_insert(X71,X72,X73),c_insert(X74,X72,X73),X73) = X71
        | c_in(X71,X72,X73)
        | c_Main_OsubsetI__1(c_insert(X74,X72,X73),X72,X73) = X74 )
    | ~ spl0_34
    | ~ spl0_94 ),
    inference(resolution,[],[f1012,f259]) ).

fof(f12551,plain,
    ( spl0_452
    | ~ spl0_32
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1020,f1007,f230,f12549]) ).

fof(f12549,plain,
    ( spl0_452
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f1007,plain,
    ( spl0_93
  <=> ! [X11,X12,X13] :
        ( ~ c_lessequals(X11,X12,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X11)),c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1020,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_93 ),
    inference(resolution,[],[f1008,f231]) ).

fof(f1008,plain,
    ( ! [X11,X12,X13] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X11)),c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X11,X12,tc_set(tc_Message_Omsg)) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f12547,plain,
    ( spl0_451
    | ~ spl0_32
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1017,f1003,f230,f12545]) ).

fof(f12545,plain,
    ( spl0_451
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f1003,plain,
    ( spl0_92
  <=> ! [X16,X14,X15] :
        ( ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X14)),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1017,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_92 ),
    inference(resolution,[],[f1004,f231]) ).

fof(f1004,plain,
    ( ! [X16,X14,X15] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X14)),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg)) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f12543,plain,
    ( spl0_449
    | ~ spl0_450
    | ~ spl0_11
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f12424,f12270,f61,f12540,f12536]) ).

fof(f12424,plain,
    ( ~ c_in(v_X,v_H,tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
    | ~ spl0_11
    | ~ spl0_446 ),
    inference(superposition,[],[f62,f12272]) ).

fof(f12534,plain,
    ( spl0_448
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1014,f995,f230,f12532]) ).

fof(f12532,plain,
    ( spl0_448
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f995,plain,
    ( spl0_90
  <=> ! [X22,X20,X21] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X20)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X21)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1014,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(resolution,[],[f996,f231]) ).

fof(f996,plain,
    ( ! [X21,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X20)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X21)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg)) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f12530,plain,
    ( spl0_447
    | ~ spl0_72
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f980,f962,f741,f12528]) ).

fof(f12528,plain,
    ( spl0_447
  <=> ! [X25,X27,X26] :
        ( c_in(X25,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X26))),tc_Message_Omsg)
        | ~ c_lessequals(X27,X26,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X25,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg) = X25 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f980,plain,
    ( ! [X26,X27,X25] :
        ( c_in(X25,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X26))),tc_Message_Omsg)
        | ~ c_lessequals(X27,X26,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X25,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg) = X25 )
    | ~ spl0_72
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f742]) ).

fof(f12273,plain,
    ( spl0_446
    | spl0_1
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f12190,f11251,f11,f12270]) ).

fof(f11251,plain,
    ( spl0_422
  <=> ! [X66,X65,X67] :
        ( c_Main_OsubsetI__1(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(c_insert(X67,X66,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f12190,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_422 ),
    inference(resolution,[],[f11252,f13]) ).

fof(f11252,plain,
    ( ! [X65,X66,X67] :
        ( c_lessequals(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(c_insert(X67,X66,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65 )
    | ~ spl0_422 ),
    inference(avatar_component_clause,[],[f11251]) ).

fof(f11975,plain,
    ( spl0_445
    | ~ spl0_8
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f11345,f9107,f44,f11973]) ).

fof(f11973,plain,
    ( spl0_445
  <=> ! [X17] :
        ( c_in(X17,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X17,c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f9107,plain,
    ( spl0_347
  <=> c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f11345,plain,
    ( ! [X17] :
        ( c_in(X17,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X17,c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_347 ),
    inference(resolution,[],[f9109,f45]) ).

fof(f9109,plain,
    ( c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_347 ),
    inference(avatar_component_clause,[],[f9107]) ).

fof(f11361,plain,
    ( spl0_444
    | ~ spl0_42
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2866,f2753,f338,f11359]) ).

fof(f11359,plain,
    ( spl0_444
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f2866,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_167 ),
    inference(duplicate_literal_removal,[],[f2834]) ).

fof(f2834,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_167 ),
    inference(resolution,[],[f2754,f339]) ).

fof(f11357,plain,
    ( spl0_443
    | ~ spl0_42
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2829,f2749,f338,f11355]) ).

fof(f11355,plain,
    ( spl0_443
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f2829,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_166 ),
    inference(duplicate_literal_removal,[],[f2797]) ).

fof(f2797,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_166 ),
    inference(resolution,[],[f2750,f339]) ).

fof(f11353,plain,
    ( spl0_442
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2796,f2745,f338,f11351]) ).

fof(f11351,plain,
    ( spl0_442
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f2796,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(duplicate_literal_removal,[],[f2764]) ).

fof(f2764,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(resolution,[],[f2746,f339]) ).

fof(f11349,plain,
    ( spl0_441
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2713,f2610,f61,f11347]) ).

fof(f11347,plain,
    ( spl0_441
  <=> ! [X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f2713,plain,
    ( ! [X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(duplicate_literal_removal,[],[f2647]) ).

fof(f2647,plain,
    ( ! [X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_lessequals(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_162 ),
    inference(resolution,[],[f2611,f62]) ).

fof(f11333,plain,
    ( spl0_440
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2600,f2359,f338,f11331]) ).

fof(f11331,plain,
    ( spl0_440
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f2600,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f2564]) ).

fof(f2564,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f2360,f339]) ).

fof(f11329,plain,
    ( spl0_439
    | ~ spl0_42
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2552,f2351,f338,f11327]) ).

fof(f11327,plain,
    ( spl0_439
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f2552,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_157 ),
    inference(duplicate_literal_removal,[],[f2516]) ).

fof(f2516,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_157 ),
    inference(resolution,[],[f2352,f339]) ).

fof(f11325,plain,
    ( spl0_438
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2515,f2347,f338,f11323]) ).

fof(f11323,plain,
    ( spl0_438
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f2515,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2479]) ).

fof(f2479,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(resolution,[],[f2348,f339]) ).

fof(f11321,plain,
    ( spl0_437
    | ~ spl0_42
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2474,f2343,f338,f11319]) ).

fof(f11319,plain,
    ( spl0_437
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f2474,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f2438]) ).

fof(f2438,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_insert(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_155 ),
    inference(resolution,[],[f2344,f339]) ).

fof(f11317,plain,
    ( spl0_436
    | ~ spl0_98
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2437,f2339,f1087,f11315]) ).

fof(f11315,plain,
    ( spl0_436
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f2437,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2366]) ).

fof(f2366,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f1088]) ).

fof(f11313,plain,
    ( spl0_435
    | ~ spl0_33
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2425,f2339,f245,f11311]) ).

fof(f11311,plain,
    ( spl0_435
  <=> ! [X41,X40] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f2425,plain,
    ( ! [X40,X41] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2378]) ).

fof(f2378,plain,
    ( ! [X40,X41] :
        ( c_Main_OsubsetI__1(c_insert(X40,X41,tc_Message_Omsg),c_Message_Osynth(X41),tc_Message_Omsg) = X40
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X40,X41,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X41))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f246]) ).

fof(f11309,plain,
    ( spl0_434
    | ~ spl0_14
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2413,f2339,f79,f11307]) ).

fof(f11307,plain,
    ( spl0_434
  <=> ! [X73,X75,X74] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_Message_Osynth(X74),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_insert(X75,c_Message_Osynth(c_Message_Osynth(X74)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f2413,plain,
    ( ! [X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_Message_Osynth(X74),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_insert(X75,c_Message_Osynth(c_Message_Osynth(X74)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2390]) ).

fof(f2390,plain,
    ( ! [X73,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,X74,tc_Message_Omsg),c_Message_Osynth(X74),tc_Message_Omsg) = X73
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_insert(X75,c_Message_Osynth(c_Message_Osynth(X74)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X73,X74,tc_Message_Omsg)),c_insert(X75,c_Message_Osynth(c_Message_Osynth(X74)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f80]) ).

fof(f11305,plain,
    ( spl0_433
    | ~ spl0_114
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2134,f2044,f1378,f11303]) ).

fof(f11303,plain,
    ( spl0_433
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f2134,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2065]) ).

fof(f2065,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1379]) ).

fof(f11301,plain,
    ( spl0_432
    | ~ spl0_40
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2123,f2044,f290,f11299]) ).

fof(f11299,plain,
    ( spl0_432
  <=> ! [X38,X37,X39] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f2123,plain,
    ( ! [X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2076]) ).

fof(f2076,plain,
    ( ! [X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),X38,tc_Message_Omsg) = X37
        | c_lessequals(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X37,X38,tc_Message_Omsg)),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f291]) ).

fof(f11297,plain,
    ( spl0_431
    | ~ spl0_37
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2121,f2044,f278,f11295]) ).

fof(f11295,plain,
    ( spl0_431
  <=> ! [X45,X43,X44] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),X44,tc_Message_Omsg) = X43
        | c_lessequals(c_Message_Osynth(c_insert(X43,X44,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f2121,plain,
    ( ! [X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),X44,tc_Message_Omsg) = X43
        | c_lessequals(c_Message_Osynth(c_insert(X43,X44,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2078]) ).

fof(f2078,plain,
    ( ! [X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),X44,tc_Message_Omsg) = X43
        | c_lessequals(c_Message_Osynth(c_insert(X43,X44,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X43,X44,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f279]) ).

fof(f11285,plain,
    ( spl0_430
    | ~ spl0_41
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2117,f2044,f294,f11283]) ).

fof(f11283,plain,
    ( spl0_430
  <=> ! [X57,X55,X56] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f2117,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2082]) ).

fof(f2082,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X55,X56,tc_Message_Omsg)),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f295]) ).

fof(f11281,plain,
    ( spl0_429
    | ~ spl0_114
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2040,f1901,f1378,f11279]) ).

fof(f11279,plain,
    ( spl0_429
  <=> ! [X6,X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f2040,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1971]) ).

fof(f1971,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_114
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1379]) ).

fof(f11277,plain,
    ( spl0_428
    | ~ spl0_40
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2029,f1901,f290,f11275]) ).

fof(f11275,plain,
    ( spl0_428
  <=> ! [X38,X37,X39] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f2029,plain,
    ( ! [X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1982]) ).

fof(f1982,plain,
    ( ! [X38,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(X38),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X37,X38,tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f291]) ).

fof(f11273,plain,
    ( spl0_427
    | ~ spl0_37
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2027,f1901,f278,f11271]) ).

fof(f11271,plain,
    ( spl0_427
  <=> ! [X45,X43,X44] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(X44),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f2027,plain,
    ( ! [X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(X44),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1984]) ).

fof(f1984,plain,
    ( ! [X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(X44),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X43,X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X45,c_Message_Osynth(X44),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f279]) ).

fof(f11269,plain,
    ( spl0_426
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2023,f1901,f294,f11267]) ).

fof(f11267,plain,
    ( spl0_426
  <=> ! [X57,X55,X56] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f2023,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1988]) ).

fof(f1988,plain,
    ( ! [X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),c_Message_Osynth(X56),tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X56))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f295]) ).

fof(f11265,plain,
    ( spl0_425
    | ~ spl0_46
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1568,f1443,f400,f11263]) ).

fof(f11263,plain,
    ( spl0_425
  <=> ! [X48,X47,X50,X49] :
        ( c_Main_OsubsetI__1(c_insert(X47,X48,tc_Message_Omsg),X48,tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X47,X48,tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,X48,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f1568,plain,
    ( ! [X50,X48,X49,X47] :
        ( c_Main_OsubsetI__1(c_insert(X47,X48,tc_Message_Omsg),X48,tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X47,X48,tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,X48,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1536]) ).

fof(f1536,plain,
    ( ! [X50,X48,X49,X47] :
        ( c_Main_OsubsetI__1(c_insert(X47,X48,tc_Message_Omsg),X48,tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X47,X48,tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,X48,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X47,X48,tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,X48,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f401]) ).

fof(f11261,plain,
    ( spl0_424
    | ~ spl0_47
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1567,f1443,f404,f11259]) ).

fof(f11259,plain,
    ( spl0_424
  <=> ! [X51,X54,X53,X52] :
        ( c_Main_OsubsetI__1(c_insert(X51,X52,tc_Message_Omsg),X52,tc_Message_Omsg) = X51
        | c_lessequals(c_insert(X51,X52,tc_Message_Omsg),c_insert(X53,c_Message_Osynth(c_insert(X54,X52,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f1567,plain,
    ( ! [X51,X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X51,X52,tc_Message_Omsg),X52,tc_Message_Omsg) = X51
        | c_lessequals(c_insert(X51,X52,tc_Message_Omsg),c_insert(X53,c_Message_Osynth(c_insert(X54,X52,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1537]) ).

fof(f1537,plain,
    ( ! [X51,X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X51,X52,tc_Message_Omsg),X52,tc_Message_Omsg) = X51
        | c_lessequals(c_insert(X51,X52,tc_Message_Omsg),c_insert(X53,c_Message_Osynth(c_insert(X54,X52,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X51,X52,tc_Message_Omsg),c_insert(X53,c_Message_Osynth(c_insert(X54,X52,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f405]) ).

fof(f11257,plain,
    ( spl0_423
    | ~ spl0_49
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1566,f1443,f412,f11255]) ).

fof(f11255,plain,
    ( spl0_423
  <=> ! [X55,X57,X56,X58] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_insert(X58,c_Message_Osynth(X56),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f1566,plain,
    ( ! [X58,X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_insert(X58,c_Message_Osynth(X56),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1538]) ).

fof(f1538,plain,
    ( ! [X58,X56,X57,X55] :
        ( c_Main_OsubsetI__1(c_insert(X55,X56,tc_Message_Omsg),X56,tc_Message_Omsg) = X55
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_insert(X58,c_Message_Osynth(X56),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X55,X56,tc_Message_Omsg),c_insert(X57,c_insert(X58,c_Message_Osynth(X56),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f413]) ).

fof(f11253,plain,
    ( spl0_422
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1564,f1443,f1087,f11251]) ).

fof(f1564,plain,
    ( ! [X65,X66,X67] :
        ( c_Main_OsubsetI__1(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(c_insert(X67,X66,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1540]) ).

fof(f1540,plain,
    ( ! [X65,X66,X67] :
        ( c_Main_OsubsetI__1(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(X66),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(c_insert(X67,X66,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X65,c_Message_Osynth(X66),tc_Message_Omsg),c_Message_Osynth(c_insert(X67,X66,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1088]) ).

fof(f11249,plain,
    ( spl0_421
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1414,f1382,f20,f11247]) ).

fof(f11247,plain,
    ( spl0_421
  <=> ! [X13,X14,X15] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f1382,plain,
    ( spl0_115
  <=> ! [X25,X27,X26] :
        ( c_in(X25,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X26))),tc_Message_Omsg)
        | ~ c_in(X25,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X27,X26,tc_Message_Omsg),c_Message_Osynth(X26),tc_Message_Omsg) = X27 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1414,plain,
    ( ! [X14,X15,X13] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X14))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(resolution,[],[f1383,f21]) ).

fof(f1383,plain,
    ( ! [X26,X27,X25] :
        ( ~ c_in(X25,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X25,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X26))),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X27,X26,tc_Message_Omsg),c_Message_Osynth(X26),tc_Message_Omsg) = X27 )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f11245,plain,
    ( spl0_1
    | ~ spl0_98
    | ~ spl0_386 ),
    inference(avatar_split_clause,[],[f11204,f10354,f1087,f11]) ).

fof(f11204,plain,
    ( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_98
    | ~ spl0_386 ),
    inference(resolution,[],[f10355,f1088]) ).

fof(f10355,plain,
    ( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_386 ),
    inference(avatar_component_clause,[],[f10354]) ).

fof(f11244,plain,
    ( spl0_420
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1152,f1103,f44,f11242]) ).

fof(f11242,plain,
    ( spl0_420
  <=> ! [X11,X13,X14,X12,X10] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f1152,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(resolution,[],[f1104,f45]) ).

fof(f11240,plain,
    ( spl0_419
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1146,f1099,f44,f11238]) ).

fof(f11238,plain,
    ( spl0_419
  <=> ! [X11,X13,X14,X12,X10] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f1146,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(resolution,[],[f1100,f45]) ).

fof(f11236,plain,
    ( spl0_418
    | ~ spl0_8
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1143,f1095,f44,f11234]) ).

fof(f11234,plain,
    ( spl0_418
  <=> ! [X11,X13,X14,X12,X10] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f1143,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_Message_Osynth(c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_100 ),
    inference(resolution,[],[f1096,f45]) ).

fof(f11232,plain,
    ( spl0_417
    | ~ spl0_12
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1015,f995,f69,f11230]) ).

fof(f11230,plain,
    ( spl0_417
  <=> ! [X5,X4,X7,X6] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5)))),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f1015,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5)))),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_90 ),
    inference(resolution,[],[f996,f70]) ).

fof(f11228,plain,
    ( spl0_416
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f991,f970,f230,f11226]) ).

fof(f11226,plain,
    ( spl0_416
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f970,plain,
    ( spl0_89
  <=> ! [X9,X8,X10] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X8)),c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f991,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(resolution,[],[f971,f231]) ).

fof(f971,plain,
    ( ! [X10,X8,X9] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X8)),c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg)) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f11224,plain,
    ( spl0_415
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f988,f966,f230,f11222]) ).

fof(f11222,plain,
    ( spl0_415
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f966,plain,
    ( spl0_88
  <=> ! [X18,X17,X19] :
        ( ~ c_lessequals(X17,X18,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X17)),c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X18))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f988,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(resolution,[],[f967,f231]) ).

fof(f967,plain,
    ( ! [X18,X19,X17] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X17)),c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X18))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X17,X18,tc_set(tc_Message_Omsg)) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f11220,plain,
    ( spl0_414
    | ~ spl0_6
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f984,f962,f32,f11218]) ).

fof(f11218,plain,
    ( spl0_414
  <=> ! [X45,X44,X43] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X43)),X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X45))),tc_Message_Omsg)
        | ~ c_lessequals(X43,X45,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X43)),X44,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f984,plain,
    ( ! [X44,X45,X43] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X43)),X44,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X45))),tc_Message_Omsg)
        | ~ c_lessequals(X43,X45,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X43)),X44,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f33]) ).

fof(f11216,plain,
    ( spl0_413
    | ~ spl0_78
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f978,f962,f845,f11214]) ).

fof(f11214,plain,
    ( spl0_413
  <=> ! [X20,X21,X19] :
        ( c_in(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X20))),tc_Message_Omsg)
        | ~ c_lessequals(X21,X20,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_Message_Osynth(X21),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg) = X19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f978,plain,
    ( ! [X21,X19,X20] :
        ( c_in(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X20))),tc_Message_Omsg)
        | ~ c_lessequals(X21,X20,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_Message_Osynth(X21),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg) = X19 )
    | ~ spl0_78
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f846]) ).

fof(f11212,plain,
    ( spl0_412
    | ~ spl0_7
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f875,f845,f36,f11210]) ).

fof(f875,plain,
    ( ! [X6,X7] :
        ( c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_78 ),
    inference(resolution,[],[f846,f37]) ).

fof(f11208,plain,
    ( spl0_411
    | ~ spl0_19
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f763,f741,f120,f11206]) ).

fof(f11206,plain,
    ( spl0_411
  <=> ! [X69,X68,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,c_Message_Osynth(c_Message_Osynth(X68)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X68)),tc_Message_Omsg) = X67
        | c_in(X67,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg)
        | ~ c_lessequals(X68,X69,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f120,plain,
    ( spl0_19
  <=> ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f763,plain,
    ( ! [X68,X69,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,c_Message_Osynth(c_Message_Osynth(X68)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X68)),tc_Message_Omsg) = X67
        | c_in(X67,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg)
        | ~ c_lessequals(X68,X69,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f121]) ).

fof(f121,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f11077,plain,
    ( spl0_410
    | ~ spl0_72
    | spl0_386 ),
    inference(avatar_split_clause,[],[f10441,f10354,f741,f11074]) ).

fof(f11074,plain,
    ( spl0_410
  <=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f10441,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_72
    | spl0_386 ),
    inference(resolution,[],[f10356,f742]) ).

fof(f10518,plain,
    ( spl0_409
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2645,f2606,f338,f10516]) ).

fof(f10516,plain,
    ( spl0_409
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f2645,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2613]) ).

fof(f2613,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X4,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,c_Message_Osynth(X4),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f339]) ).

fof(f10514,plain,
    ( spl0_408
    | ~ spl0_17
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2426,f2339,f106,f10512]) ).

fof(f10512,plain,
    ( spl0_408
  <=> ! [X38,X39] :
        ( c_Main_OsubsetI__1(c_insert(X38,X39,tc_Message_Omsg),c_Message_Osynth(X39),tc_Message_Omsg) = X38
        | c_lessequals(c_Message_Osynth(c_insert(X38,X39,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X39)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f2426,plain,
    ( ! [X38,X39] :
        ( c_Main_OsubsetI__1(c_insert(X38,X39,tc_Message_Omsg),c_Message_Osynth(X39),tc_Message_Omsg) = X38
        | c_lessequals(c_Message_Osynth(c_insert(X38,X39,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X39)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2377]) ).

fof(f2377,plain,
    ( ! [X38,X39] :
        ( c_Main_OsubsetI__1(c_insert(X38,X39,tc_Message_Omsg),c_Message_Osynth(X39),tc_Message_Omsg) = X38
        | c_lessequals(c_Message_Osynth(c_insert(X38,X39,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X39)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X38,X39,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X39)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f107]) ).

fof(f10510,plain,
    ( spl0_407
    | ~ spl0_103
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2135,f2044,f1154,f10508]) ).

fof(f10508,plain,
    ( spl0_407
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f2135,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2064]) ).

fof(f2064,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1155]) ).

fof(f10506,plain,
    ( spl0_406
    | ~ spl0_95
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2126,f2044,f1043,f10504]) ).

fof(f10504,plain,
    ( spl0_406
  <=> ! [X30,X31] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f2126,plain,
    ( ! [X31,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2073]) ).

fof(f2073,plain,
    ( ! [X31,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X30,X31,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1044]) ).

fof(f10502,plain,
    ( spl0_405
    | ~ spl0_22
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2124,f2044,f139,f10500]) ).

fof(f10500,plain,
    ( spl0_405
  <=> ! [X34,X36,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),X35,tc_Message_Omsg) = X34
        | c_lessequals(c_Message_Osynth(c_insert(X34,X35,tc_Message_Omsg)),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f2124,plain,
    ( ! [X36,X34,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),X35,tc_Message_Omsg) = X34
        | c_lessequals(c_Message_Osynth(c_insert(X34,X35,tc_Message_Omsg)),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2075]) ).

fof(f2075,plain,
    ( ! [X36,X34,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),X35,tc_Message_Omsg) = X34
        | c_lessequals(c_Message_Osynth(c_insert(X34,X35,tc_Message_Omsg)),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X34,X35,tc_Message_Omsg)),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f140]) ).

fof(f10498,plain,
    ( spl0_404
    | ~ spl0_23
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2118,f2044,f143,f10496]) ).

fof(f10496,plain,
    ( spl0_404
  <=> ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),X53,tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f2118,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),X53,tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2081]) ).

fof(f2081,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),X53,tc_Message_Omsg) = X52
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X52,X53,tc_Message_Omsg)),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f144]) ).

fof(f10494,plain,
    ( spl0_403
    | ~ spl0_103
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2041,f1901,f1154,f10492]) ).

fof(f10492,plain,
    ( spl0_403
  <=> ! [X4,X5,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f2041,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1970]) ).

fof(f1970,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X5,X4,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_103
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1155]) ).

fof(f10490,plain,
    ( spl0_402
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2032,f1901,f1043,f10488]) ).

fof(f10488,plain,
    ( spl0_402
  <=> ! [X30,X31] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(X31),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f2032,plain,
    ( ! [X31,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(X31),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1979]) ).

fof(f1979,plain,
    ( ! [X31,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(X31),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X31))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1044]) ).

fof(f10486,plain,
    ( spl0_401
    | ~ spl0_78
    | spl0_386 ),
    inference(avatar_split_clause,[],[f10437,f10354,f845,f10483]) ).

fof(f10483,plain,
    ( spl0_401
  <=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f10437,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_78
    | spl0_386 ),
    inference(resolution,[],[f10356,f846]) ).

fof(f10481,plain,
    ( spl0_400
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2030,f1901,f139,f10479]) ).

fof(f10479,plain,
    ( spl0_400
  <=> ! [X34,X36,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(X35),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f2030,plain,
    ( ! [X36,X34,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(X35),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1981]) ).

fof(f1981,plain,
    ( ! [X36,X34,X35] :
        ( c_Main_OsubsetI__1(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(X35),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X34,X35,tc_Message_Omsg),c_Message_Osynth(c_insert(X36,c_Message_Osynth(X35),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f140]) ).

fof(f10477,plain,
    ( spl0_399
    | ~ spl0_23
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2024,f1901,f143,f10475]) ).

fof(f10475,plain,
    ( spl0_399
  <=> ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_insert(X52,X53,tc_Message_Omsg),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f2024,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_insert(X52,X53,tc_Message_Omsg),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1987]) ).

fof(f1987,plain,
    ( ! [X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,X53,tc_Message_Omsg),c_Message_Osynth(X53),tc_Message_Omsg) = X52
        | c_lessequals(c_insert(X52,X53,tc_Message_Omsg),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X52,X53,tc_Message_Omsg),c_insert(X54,c_Message_Osynth(c_Message_Osynth(X53)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f144]) ).

fof(f10473,plain,
    ( spl0_398
    | ~ spl0_112
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1576,f1443,f1241,f10471]) ).

fof(f10471,plain,
    ( spl0_398
  <=> ! [X22,X21,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),X22,tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f1576,plain,
    ( ! [X21,X22,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),X22,tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1528]) ).

fof(f1528,plain,
    ( ! [X21,X22,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,X22,tc_Message_Omsg),X22,tc_Message_Omsg) = X21
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X21,X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_112
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1242]) ).

fof(f10469,plain,
    ( spl0_397
    | ~ spl0_111
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1574,f1443,f1237,f10467]) ).

fof(f10467,plain,
    ( spl0_397
  <=> ! [X29,X27,X28] :
        ( c_Main_OsubsetI__1(c_insert(X27,X28,tc_Message_Omsg),X28,tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X27,X28,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(X28),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f1574,plain,
    ( ! [X28,X29,X27] :
        ( c_Main_OsubsetI__1(c_insert(X27,X28,tc_Message_Omsg),X28,tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X27,X28,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(X28),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1530]) ).

fof(f1530,plain,
    ( ! [X28,X29,X27] :
        ( c_Main_OsubsetI__1(c_insert(X27,X28,tc_Message_Omsg),X28,tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X27,X28,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(X28),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X27,X28,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(X28),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_111
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1238]) ).

fof(f10465,plain,
    ( spl0_396
    | ~ spl0_109
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1573,f1443,f1229,f10463]) ).

fof(f10463,plain,
    ( spl0_396
  <=> ! [X32,X30,X31] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X32,X31,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f1573,plain,
    ( ! [X31,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X32,X31,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1531]) ).

fof(f1531,plain,
    ( ! [X31,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X30,X31,tc_Message_Omsg),X31,tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X32,X31,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X30,X31,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X32,X31,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_109
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1230]) ).

fof(f10461,plain,
    ( spl0_395
    | ~ spl0_113
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1570,f1443,f1245,f10459]) ).

fof(f10459,plain,
    ( spl0_395
  <=> ! [X41,X40,X39] :
        ( c_Main_OsubsetI__1(c_insert(X39,X40,tc_Message_Omsg),X40,tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X39,X40,tc_Message_Omsg),c_insert(X41,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f1570,plain,
    ( ! [X40,X41,X39] :
        ( c_Main_OsubsetI__1(c_insert(X39,X40,tc_Message_Omsg),X40,tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X39,X40,tc_Message_Omsg),c_insert(X41,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1534]) ).

fof(f1534,plain,
    ( ! [X40,X41,X39] :
        ( c_Main_OsubsetI__1(c_insert(X39,X40,tc_Message_Omsg),X40,tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X39,X40,tc_Message_Omsg),c_insert(X41,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X39,X40,tc_Message_Omsg),c_insert(X41,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_113
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1246]) ).

fof(f10457,plain,
    ( spl0_394
    | ~ spl0_25
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1569,f1443,f167,f10455]) ).

fof(f10455,plain,
    ( spl0_394
  <=> ! [X44,X42,X46,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,X44),X43,X44) = X42
        | c_lessequals(c_insert(X42,X43,X44),c_insert(X45,c_insert(X46,X43,X44),X44),tc_set(X44)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f1569,plain,
    ( ! [X46,X44,X45,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,X44),X43,X44) = X42
        | c_lessequals(c_insert(X42,X43,X44),c_insert(X45,c_insert(X46,X43,X44),X44),tc_set(X44)) )
    | ~ spl0_25
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1535]) ).

fof(f1535,plain,
    ( ! [X46,X44,X45,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X42,X43,X44),X43,X44) = X42
        | c_lessequals(c_insert(X42,X43,X44),c_insert(X45,c_insert(X46,X43,X44),X44),tc_set(X44))
        | c_lessequals(c_insert(X42,X43,X44),c_insert(X45,c_insert(X46,X43,X44),X44),tc_set(X44)) )
    | ~ spl0_25
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f168]) ).

fof(f10453,plain,
    ( spl0_393
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1085,f1047,f44,f10451]) ).

fof(f10451,plain,
    ( spl0_393
  <=> ! [X11,X13,X14,X12,X10] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f1085,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_in(X12,c_insert(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(resolution,[],[f1048,f45]) ).

fof(f10449,plain,
    ( spl0_392
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f989,f966,f69,f10447]) ).

fof(f10447,plain,
    ( spl0_392
  <=> ! [X5,X4,X7,X6] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f989,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(resolution,[],[f967,f70]) ).

fof(f10445,plain,
    ( spl0_391
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f977,f962,f924,f10443]) ).

fof(f10443,plain,
    ( spl0_391
  <=> ! [X18,X17,X14,X16,X15] :
        ( c_in(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X16,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg),X15,tc_set(tc_Message_Omsg))
        | ~ c_in(X14,c_Message_Osynth(X18),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f924,plain,
    ( spl0_83
  <=> ! [X18,X19,X20,X21] :
        ( c_in(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X18,c_Message_Osynth(X21),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f977,plain,
    ( ! [X18,X16,X14,X17,X15] :
        ( c_in(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X16,c_insert(X17,X18,tc_Message_Omsg),tc_Message_Omsg),X15,tc_set(tc_Message_Omsg))
        | ~ c_in(X14,c_Message_Osynth(X18),tc_Message_Omsg) )
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f925]) ).

fof(f925,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_in(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X18,c_Message_Osynth(X21),tc_Message_Omsg) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f10433,plain,
    ( spl0_390
    | ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f958,f932,f230,f10431]) ).

fof(f10431,plain,
    ( spl0_390
  <=> ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f932,plain,
    ( spl0_85
  <=> ! [X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X4)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f958,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_85 ),
    inference(resolution,[],[f933,f231]) ).

fof(f933,plain,
    ( ! [X4,X5] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X4)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg)) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f10429,plain,
    ( spl0_389
    | ~ spl0_32
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f955,f928,f230,f10427]) ).

fof(f10427,plain,
    ( spl0_389
  <=> ! [X0,X3,X2,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f928,plain,
    ( spl0_84
  <=> ! [X25,X24,X23] :
        ( ~ c_lessequals(X23,X24,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X23)),c_insert(X25,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f955,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_84 ),
    inference(resolution,[],[f929,f231]) ).

fof(f929,plain,
    ( ! [X24,X25,X23] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X23)),c_insert(X25,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X23,X24,tc_set(tc_Message_Omsg)) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f10425,plain,
    ( spl0_388
    | ~ spl0_19
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f887,f845,f120,f10423]) ).

fof(f10423,plain,
    ( spl0_388
  <=> ! [X49,X48,X47] :
        ( c_Main_OsubsetI__1(c_insert(X47,c_Message_Osynth(X48),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg) = X47
        | c_in(X47,c_Message_Osynth(c_Message_Osynth(X49)),tc_Message_Omsg)
        | ~ c_lessequals(X48,X49,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f887,plain,
    ( ! [X48,X49,X47] :
        ( c_Main_OsubsetI__1(c_insert(X47,c_Message_Osynth(X48),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg) = X47
        | c_in(X47,c_Message_Osynth(c_Message_Osynth(X49)),tc_Message_Omsg)
        | ~ c_lessequals(X48,X49,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_78 ),
    inference(resolution,[],[f846,f121]) ).

fof(f10421,plain,
    ( spl0_387
    | ~ spl0_11
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f745,f741,f61,f10419]) ).

fof(f10419,plain,
    ( spl0_387
  <=> ! [X4,X3] :
        ( c_Main_OsubsetI__1(X3,c_Message_Osynth(X4),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X3,c_Message_Osynth(X4),tc_Message_Omsg),X4,tc_Message_Omsg),X4,tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f745,plain,
    ( ! [X3,X4] :
        ( c_Main_OsubsetI__1(X3,c_Message_Osynth(X4),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X3,c_Message_Osynth(X4),tc_Message_Omsg),X4,tc_Message_Omsg),X4,tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f62]) ).

fof(f10357,plain,
    ( spl0_347
    | ~ spl0_386
    | ~ spl0_98
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f8972,f8696,f1087,f10354,f9107]) ).

fof(f8972,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_98
    | ~ spl0_340 ),
    inference(superposition,[],[f1088,f8698]) ).

fof(f9758,plain,
    ( spl0_385
    | ~ spl0_6
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f9734,f9532,f32,f9756]) ).

fof(f9756,plain,
    ( spl0_385
  <=> ! [X74] : c_lessequals(X74,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X74))))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f9532,plain,
    ( spl0_357
  <=> ! [X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_Message_Omsg),X5,tc_Message_Omsg)
        | c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f9734,plain,
    ( ! [X74] : c_lessequals(X74,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X74))))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_357 ),
    inference(duplicate_literal_removal,[],[f9670]) ).

fof(f9670,plain,
    ( ! [X74] :
        ( c_lessequals(X74,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X74))))),tc_set(tc_Message_Omsg))
        | c_lessequals(X74,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X74))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_357 ),
    inference(resolution,[],[f9533,f33]) ).

fof(f9533,plain,
    ( ! [X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_Message_Omsg),X5,tc_Message_Omsg)
        | c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_357 ),
    inference(avatar_component_clause,[],[f9532]) ).

fof(f9649,plain,
    ( spl0_384
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2427,f2339,f61,f9647]) ).

fof(f9647,plain,
    ( spl0_384
  <=> ! [X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),c_Message_Osynth(X37),tc_Message_Omsg) = X36
        | c_lessequals(c_Message_Osynth(c_insert(X36,X37,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X37))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f2427,plain,
    ( ! [X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),c_Message_Osynth(X37),tc_Message_Omsg) = X36
        | c_lessequals(c_Message_Osynth(c_insert(X36,X37,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X37))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2376]) ).

fof(f2376,plain,
    ( ! [X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),c_Message_Osynth(X37),tc_Message_Omsg) = X36
        | c_lessequals(c_Message_Osynth(c_insert(X36,X37,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X37))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X36,X37,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X37))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f62]) ).

fof(f9645,plain,
    ( spl0_383
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2295,f2176,f338,f9643]) ).

fof(f9643,plain,
    ( spl0_383
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f2295,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f2265]) ).

fof(f2265,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(resolution,[],[f2177,f339]) ).

fof(f9641,plain,
    ( spl0_382
    | ~ spl0_42
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2264,f2172,f338,f9639]) ).

fof(f9639,plain,
    ( spl0_382
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f2264,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_147 ),
    inference(duplicate_literal_removal,[],[f2234]) ).

fof(f2234,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_147 ),
    inference(resolution,[],[f2173,f339]) ).

fof(f9637,plain,
    ( spl0_381
    | ~ spl0_42
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2233,f2168,f338,f9635]) ).

fof(f9635,plain,
    ( spl0_381
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f2233,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f2203]) ).

fof(f2203,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_146 ),
    inference(resolution,[],[f2169,f339]) ).

fof(f9633,plain,
    ( spl0_380
    | ~ spl0_98
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2136,f2044,f1087,f9631]) ).

fof(f9631,plain,
    ( spl0_380
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),X1,tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f2136,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),X1,tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2063]) ).

fof(f2063,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),X1,tc_Message_Omsg) = X0
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f1088]) ).

fof(f9629,plain,
    ( spl0_379
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2127,f2044,f245,f9627]) ).

fof(f9627,plain,
    ( spl0_379
  <=> ! [X29,X28] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f2127,plain,
    ( ! [X28,X29] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2072]) ).

fof(f2072,plain,
    ( ! [X28,X29] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),X29,tc_Message_Omsg) = X28
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f246]) ).

fof(f9625,plain,
    ( spl0_378
    | ~ spl0_14
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2115,f2044,f79,f9623]) ).

fof(f9623,plain,
    ( spl0_378
  <=> ! [X61,X62,X63] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),X62,tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f2115,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),X62,tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2084]) ).

fof(f2084,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),X62,tc_Message_Omsg) = X61
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X61,X62,tc_Message_Omsg)),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f80]) ).

fof(f9621,plain,
    ( spl0_377
    | ~ spl0_98
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2042,f1901,f1087,f9619]) ).

fof(f9619,plain,
    ( spl0_377
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f2042,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1969]) ).

fof(f1969,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_98
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f1088]) ).

fof(f9617,plain,
    ( spl0_376
    | ~ spl0_33
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2033,f1901,f245,f9615]) ).

fof(f9615,plain,
    ( spl0_376
  <=> ! [X29,X28] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f2033,plain,
    ( ! [X28,X29] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1978]) ).

fof(f1978,plain,
    ( ! [X28,X29] :
        ( c_Main_OsubsetI__1(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) = X28
        | c_lessequals(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X28,X29,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f246]) ).

fof(f9607,plain,
    ( spl0_375
    | ~ spl0_14
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2021,f1901,f79,f9605]) ).

fof(f9605,plain,
    ( spl0_375
  <=> ! [X61,X62,X63] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_insert(X61,X62,tc_Message_Omsg),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f2021,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_insert(X61,X62,tc_Message_Omsg),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1990]) ).

fof(f1990,plain,
    ( ! [X62,X63,X61] :
        ( c_Main_OsubsetI__1(c_insert(X61,X62,tc_Message_Omsg),c_Message_Osynth(X62),tc_Message_Omsg) = X61
        | c_lessequals(c_insert(X61,X62,tc_Message_Omsg),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X61,X62,tc_Message_Omsg),c_insert(X63,c_Message_Osynth(X62),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f80]) ).

fof(f9603,plain,
    ( spl0_374
    | ~ spl0_42
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1883,f1653,f338,f9601]) ).

fof(f9601,plain,
    ( spl0_374
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f1883,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1853]) ).

fof(f1853,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_135 ),
    inference(resolution,[],[f1654,f339]) ).

fof(f9599,plain,
    ( spl0_373
    | ~ spl0_42
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1852,f1645,f338,f9597]) ).

fof(f9597,plain,
    ( spl0_373
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f1852,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f1822]) ).

fof(f1822,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_133 ),
    inference(resolution,[],[f1646,f339]) ).

fof(f9595,plain,
    ( spl0_372
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1748,f1629,f338,f9593]) ).

fof(f9593,plain,
    ( spl0_372
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f1748,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f1718]) ).

fof(f1718,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_129 ),
    inference(resolution,[],[f1630,f339]) ).

fof(f9591,plain,
    ( spl0_371
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1717,f1625,f338,f9589]) ).

fof(f9589,plain,
    ( spl0_371
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f1717,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(duplicate_literal_removal,[],[f1687]) ).

fof(f1687,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f1626,f339]) ).

fof(f9587,plain,
    ( spl0_370
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1686,f1621,f338,f9585]) ).

fof(f9585,plain,
    ( spl0_370
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f1686,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(duplicate_literal_removal,[],[f1656]) ).

fof(f1656,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(resolution,[],[f1622,f339]) ).

fof(f9583,plain,
    ( spl0_369
    | ~ spl0_40
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1577,f1443,f290,f9581]) ).

fof(f9581,plain,
    ( spl0_369
  <=> ! [X20,X18,X19] :
        ( c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(X19),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f1577,plain,
    ( ! [X18,X19,X20] :
        ( c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(X19),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1527]) ).

fof(f1527,plain,
    ( ! [X18,X19,X20] :
        ( c_Main_OsubsetI__1(c_insert(X18,X19,tc_Message_Omsg),X19,tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(X19),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X18,X19,tc_Message_Omsg),c_Message_Osynth(c_insert(X20,c_Message_Osynth(X19),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f291]) ).

fof(f9579,plain,
    ( spl0_368
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1575,f1443,f278,f9577]) ).

fof(f9577,plain,
    ( spl0_368
  <=> ! [X25,X24,X26] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X26,X25,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f1575,plain,
    ( ! [X26,X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X26,X25,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1529]) ).

fof(f1529,plain,
    ( ! [X26,X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X26,X25,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X26,X25,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f279]) ).

fof(f9575,plain,
    ( spl0_367
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1571,f1443,f294,f9573]) ).

fof(f9573,plain,
    ( spl0_367
  <=> ! [X38,X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),X37,tc_Message_Omsg) = X36
        | c_lessequals(c_insert(X36,X37,tc_Message_Omsg),c_insert(X38,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f1571,plain,
    ( ! [X38,X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),X37,tc_Message_Omsg) = X36
        | c_lessequals(c_insert(X36,X37,tc_Message_Omsg),c_insert(X38,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1533]) ).

fof(f1533,plain,
    ( ! [X38,X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,X37,tc_Message_Omsg),X37,tc_Message_Omsg) = X36
        | c_lessequals(c_insert(X36,X37,tc_Message_Omsg),c_insert(X38,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X36,X37,tc_Message_Omsg),c_insert(X38,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f295]) ).

fof(f9571,plain,
    ( spl0_366
    | ~ spl0_3
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1202,f1158,f20,f9569]) ).

fof(f9569,plain,
    ( spl0_366
  <=> ! [X13,X14,X15] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),X14,tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f1158,plain,
    ( spl0_104
  <=> ! [X22,X24,X23] :
        ( c_in(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg)
        | ~ c_in(X22,c_Message_Osynth(c_insert(X24,X23,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X24,X23,tc_Message_Omsg),X23,tc_Message_Omsg) = X24 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1202,plain,
    ( ! [X14,X15,X13] :
        ( c_in(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,X14,tc_Message_Omsg),X14,tc_Message_Omsg) = X15
        | ~ c_in(X13,c_insert(X15,X14,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_104 ),
    inference(resolution,[],[f1159,f21]) ).

fof(f1159,plain,
    ( ! [X24,X22,X23] :
        ( ~ c_in(X22,c_Message_Osynth(c_insert(X24,X23,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X24,X23,tc_Message_Omsg),X23,tc_Message_Omsg) = X24 )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f9567,plain,
    ( spl0_365
    | ~ spl0_72
    | spl0_348 ),
    inference(avatar_split_clause,[],[f9237,f9111,f741,f9564]) ).

fof(f9564,plain,
    ( spl0_365
  <=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg),v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f9111,plain,
    ( spl0_348
  <=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f9237,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | ~ spl0_72
    | spl0_348 ),
    inference(resolution,[],[f9113,f742]) ).

fof(f9113,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | spl0_348 ),
    inference(avatar_component_clause,[],[f9111]) ).

fof(f9562,plain,
    ( spl0_364
    | ~ spl0_8
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1022,f1007,f44,f9560]) ).

fof(f9560,plain,
    ( spl0_364
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9))),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f1022,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9))),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_93 ),
    inference(resolution,[],[f1008,f45]) ).

fof(f9558,plain,
    ( spl0_363
    | ~ spl0_8
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1019,f1003,f44,f9556]) ).

fof(f9556,plain,
    ( spl0_363
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f1019,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_92 ),
    inference(resolution,[],[f1004,f45]) ).

fof(f9554,plain,
    ( spl0_362
    | ~ spl0_8
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1016,f995,f44,f9552]) ).

fof(f9552,plain,
    ( spl0_362
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f1016,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_90 ),
    inference(resolution,[],[f996,f45]) ).

fof(f9550,plain,
    ( spl0_361
    | ~ spl0_12
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f956,f928,f69,f9548]) ).

fof(f9548,plain,
    ( spl0_361
  <=> ! [X5,X4,X7,X6] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f956,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_84 ),
    inference(resolution,[],[f929,f70]) ).

fof(f9546,plain,
    ( spl0_360
    | ~ spl0_19
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f954,f924,f120,f9544]) ).

fof(f9544,plain,
    ( spl0_360
  <=> ! [X81,X77,X78,X80,X79] :
        ( ~ c_in(X77,c_Message_Osynth(X78),tc_Message_Omsg)
        | c_in(X77,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X80,c_insert(X81,X78,tc_Message_Omsg),tc_Message_Omsg),X79,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f954,plain,
    ( ! [X80,X78,X81,X79,X77] :
        ( ~ c_in(X77,c_Message_Osynth(X78),tc_Message_Omsg)
        | c_in(X77,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X80,c_insert(X81,X78,tc_Message_Omsg),tc_Message_Omsg),X79,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_83 ),
    inference(resolution,[],[f925,f121]) ).

fof(f9542,plain,
    ( spl0_359
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f920,f899,f230,f9540]) ).

fof(f9540,plain,
    ( spl0_359
  <=> ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f899,plain,
    ( spl0_82
  <=> ! [X2,X3] :
        ( ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X2)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f920,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(resolution,[],[f900,f231]) ).

fof(f900,plain,
    ( ! [X2,X3] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X2)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f9538,plain,
    ( spl0_358
    | ~ spl0_9
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f761,f741,f49,f9536]) ).

fof(f49,plain,
    ( spl0_9
  <=> ! [X5,X3,X6,X8] :
        ( X3 = X6
        | c_in(X3,X8,X5)
        | ~ c_in(X3,c_insert(X6,X8,X5),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f761,plain,
    ( ! [X62,X63,X60,X61] :
        ( c_Main_OsubsetI__1(c_insert(X60,c_insert(X61,X62,X63),X63),c_insert(X61,X62,X63),X63) = X60
        | c_in(X60,X62,X63)
        | X60 = X61 )
    | ~ spl0_9
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f50]) ).

fof(f50,plain,
    ( ! [X3,X8,X6,X5] :
        ( ~ c_in(X3,c_insert(X6,X8,X5),X5)
        | c_in(X3,X8,X5)
        | X3 = X6 )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f9534,plain,
    ( spl0_357
    | ~ spl0_29
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f389,f245,f209,f9532]) ).

fof(f389,plain,
    ( ! [X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_Message_Omsg),X5,tc_Message_Omsg)
        | c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_29
    | ~ spl0_33 ),
    inference(resolution,[],[f210,f246]) ).

fof(f9146,plain,
    ( spl0_356
    | ~ spl0_7
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2423,f2339,f36,f9144]) ).

fof(f9144,plain,
    ( spl0_356
  <=> ! [X45,X44] :
        ( c_Main_OsubsetI__1(c_insert(X44,X45,tc_Message_Omsg),c_Message_Osynth(X45),tc_Message_Omsg) = X44
        | c_lessequals(c_Message_Osynth(c_insert(X44,X45,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X45)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f2423,plain,
    ( ! [X44,X45] :
        ( c_Main_OsubsetI__1(c_insert(X44,X45,tc_Message_Omsg),c_Message_Osynth(X45),tc_Message_Omsg) = X44
        | c_lessequals(c_Message_Osynth(c_insert(X44,X45,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X45)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f2380]) ).

fof(f2380,plain,
    ( ! [X44,X45] :
        ( c_Main_OsubsetI__1(c_insert(X44,X45,tc_Message_Omsg),c_Message_Osynth(X45),tc_Message_Omsg) = X44
        | c_lessequals(c_Message_Osynth(c_insert(X44,X45,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X45)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X44,X45,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X45)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_154 ),
    inference(resolution,[],[f2340,f37]) ).

fof(f9142,plain,
    ( spl0_355
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2128,f2044,f106,f9140]) ).

fof(f9140,plain,
    ( spl0_355
  <=> ! [X27,X26] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),X27,tc_Message_Omsg) = X26
        | c_lessequals(c_Message_Osynth(c_insert(X26,X27,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f2128,plain,
    ( ! [X26,X27] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),X27,tc_Message_Omsg) = X26
        | c_lessequals(c_Message_Osynth(c_insert(X26,X27,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2071]) ).

fof(f2071,plain,
    ( ! [X26,X27] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),X27,tc_Message_Omsg) = X26
        | c_lessequals(c_Message_Osynth(c_insert(X26,X27,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X26,X27,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f107]) ).

fof(f9138,plain,
    ( spl0_354
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2034,f1901,f106,f9136]) ).

fof(f9136,plain,
    ( spl0_354
  <=> ! [X27,X26] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f2034,plain,
    ( ! [X26,X27] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1977]) ).

fof(f1977,plain,
    ( ! [X26,X27] :
        ( c_Main_OsubsetI__1(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(X27),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X26,X27,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X27))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f107]) ).

fof(f9134,plain,
    ( spl0_353
    | ~ spl0_42
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1957,f1893,f338,f9132]) ).

fof(f9132,plain,
    ( spl0_353
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f1957,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_138 ),
    inference(duplicate_literal_removal,[],[f1931]) ).

fof(f1931,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_138 ),
    inference(resolution,[],[f1894,f339]) ).

fof(f9130,plain,
    ( spl0_352
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1930,f1885,f338,f9128]) ).

fof(f9128,plain,
    ( spl0_352
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f1930,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(duplicate_literal_removal,[],[f1904]) ).

fof(f1904,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f1886,f339]) ).

fof(f9126,plain,
    ( spl0_351
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1812,f1641,f16,f9124]) ).

fof(f9124,plain,
    ( spl0_351
  <=> ! [X6,X4,X5] :
        ( c_in(X4,c_insert(X5,c_Message_Osynth(X6),tc_Message_Omsg),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_insert(X5,c_Message_Osynth(X6),tc_Message_Omsg),tc_Message_Omsg) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f1641,plain,
    ( spl0_132
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X11,c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1812,plain,
    ( ! [X6,X4,X5] :
        ( c_in(X4,c_insert(X5,c_Message_Osynth(X6),tc_Message_Omsg),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_insert(X5,c_Message_Osynth(X6),tc_Message_Omsg),tc_Message_Omsg) = X4 )
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(resolution,[],[f1642,f17]) ).

fof(f1642,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X11,c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg) = X8 )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f9122,plain,
    ( spl0_350
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1801,f1637,f16,f9120]) ).

fof(f9120,plain,
    ( spl0_350
  <=> ! [X6,X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f1637,plain,
    ( spl0_131
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1801,plain,
    ( ! [X6,X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg) = X4 )
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(resolution,[],[f1638,f17]) ).

fof(f1638,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X11,c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg) = X8 )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1637]) ).

fof(f9118,plain,
    ( spl0_349
    | ~ spl0_95
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1580,f1443,f1043,f9116]) ).

fof(f9116,plain,
    ( spl0_349
  <=> ! [X9,X10] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f1580,plain,
    ( ! [X10,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1524]) ).

fof(f1524,plain,
    ( ! [X10,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_95
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f1044]) ).

fof(f9114,plain,
    ( spl0_347
    | ~ spl0_348
    | ~ spl0_22
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f8973,f8696,f139,f9111,f9107]) ).

fof(f8973,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_22
    | ~ spl0_340 ),
    inference(superposition,[],[f140,f8698]) ).

fof(f9105,plain,
    ( spl0_346
    | ~ spl0_22
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1578,f1443,f139,f9103]) ).

fof(f9103,plain,
    ( spl0_346
  <=> ! [X16,X17,X15] :
        ( c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),X16,tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,X16,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1578,plain,
    ( ! [X16,X17,X15] :
        ( c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),X16,tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,X16,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1526]) ).

fof(f1526,plain,
    ( ! [X16,X17,X15] :
        ( c_Main_OsubsetI__1(c_insert(X15,X16,tc_Message_Omsg),X16,tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,X16,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X15,X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X17,X16,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f140]) ).

fof(f9101,plain,
    ( spl0_345
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1572,f1443,f143,f9099]) ).

fof(f9099,plain,
    ( spl0_345
  <=> ! [X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),X34,tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,c_Message_Osynth(X34),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f1572,plain,
    ( ! [X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),X34,tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,c_Message_Osynth(X34),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1532]) ).

fof(f1532,plain,
    ( ! [X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,X34,tc_Message_Omsg),X34,tc_Message_Omsg) = X33
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,c_Message_Osynth(X34),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X33,X34,tc_Message_Omsg),c_insert(X35,c_Message_Osynth(X34),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f144]) ).

fof(f9097,plain,
    ( spl0_344
    | ~ spl0_8
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f993,f970,f44,f9095]) ).

fof(f9095,plain,
    ( spl0_344
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f993,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_89 ),
    inference(resolution,[],[f971,f45]) ).

fof(f9093,plain,
    ( spl0_343
    | ~ spl0_8
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f990,f966,f44,f9091]) ).

fof(f9091,plain,
    ( spl0_343
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f990,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_88 ),
    inference(resolution,[],[f967,f45]) ).

fof(f9089,plain,
    ( spl0_342
    | ~ spl0_77
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f975,f962,f841,f9087]) ).

fof(f9087,plain,
    ( spl0_342
  <=> ! [X9,X7,X6,X8] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg)
        | ~ c_lessequals(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X7,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(X9),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f841,plain,
    ( spl0_77
  <=> ! [X9,X11,X10] :
        ( c_in(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X10,X11,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X9,c_Message_Osynth(X11),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f975,plain,
    ( ! [X8,X6,X9,X7] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg)
        | ~ c_lessequals(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X7,tc_set(tc_Message_Omsg))
        | ~ c_in(X6,c_Message_Osynth(X9),tc_Message_Omsg) )
    | ~ spl0_77
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f842]) ).

fof(f842,plain,
    ( ! [X10,X11,X9] :
        ( c_in(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X10,X11,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X9,c_Message_Osynth(X11),tc_Message_Omsg) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f9085,plain,
    ( spl0_341
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f891,f849,f230,f9083]) ).

fof(f9083,plain,
    ( spl0_341
  <=> ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f849,plain,
    ( spl0_79
  <=> ! [X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f891,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_79 ),
    inference(resolution,[],[f850,f231]) ).

fof(f850,plain,
    ( ! [X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f8699,plain,
    ( spl0_340
    | spl0_1
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f8548,f8425,f11,f8696]) ).

fof(f8425,plain,
    ( spl0_321
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(X0,X1,X2) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,X1,X2),X1,X2),X1,X2)
        | c_lessequals(X0,X1,tc_set(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f8548,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_321 ),
    inference(resolution,[],[f8426,f13]) ).

fof(f8426,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(X0,X1,tc_set(X2))
        | c_Main_OsubsetI__1(X0,X1,X2) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,X1,X2),X1,X2),X1,X2) )
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f8425]) ).

fof(f8547,plain,
    ( spl0_339
    | ~ spl0_11
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2129,f2044,f61,f8545]) ).

fof(f8545,plain,
    ( spl0_339
  <=> ! [X25,X24] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f2129,plain,
    ( ! [X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2070]) ).

fof(f2070,plain,
    ( ! [X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),X25,tc_Message_Omsg) = X24
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f62]) ).

fof(f8543,plain,
    ( spl0_338
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2035,f1901,f61,f8541]) ).

fof(f8541,plain,
    ( spl0_338
  <=> ! [X25,X24] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f2035,plain,
    ( ! [X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f1976]) ).

fof(f1976,plain,
    ( ! [X24,X25] :
        ( c_Main_OsubsetI__1(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X24,X25,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X25)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f1902,f62]) ).

fof(f8539,plain,
    ( spl0_337
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1610,f1467,f16,f8537]) ).

fof(f8537,plain,
    ( spl0_337
  <=> ! [X6,X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f1467,plain,
    ( spl0_125
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_in(X7,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X7,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1610,plain,
    ( ! [X6,X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X6,tc_Message_Omsg),c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg) = X4 )
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(resolution,[],[f1468,f17]) ).

fof(f1468,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_in(X7,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4 )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1467]) ).

fof(f8535,plain,
    ( spl0_336
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1581,f1443,f245,f8533]) ).

fof(f8533,plain,
    ( spl0_336
  <=> ! [X7,X8] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),X8,tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f1581,plain,
    ( ! [X8,X7] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),X8,tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1523]) ).

fof(f1523,plain,
    ( ! [X8,X7] :
        ( c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),X8,tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X8))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f246]) ).

fof(f8531,plain,
    ( spl0_335
    | ~ spl0_14
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1579,f1443,f79,f8529]) ).

fof(f8529,plain,
    ( spl0_335
  <=> ! [X11,X13,X14,X12] :
        ( c_Main_OsubsetI__1(c_insert(X11,X12,X13),X12,X13) = X11
        | c_lessequals(c_insert(X11,X12,X13),c_insert(X14,X12,X13),tc_set(X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f1579,plain,
    ( ! [X11,X14,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X11,X12,X13),X12,X13) = X11
        | c_lessequals(c_insert(X11,X12,X13),c_insert(X14,X12,X13),tc_set(X13)) )
    | ~ spl0_14
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1525]) ).

fof(f1525,plain,
    ( ! [X11,X14,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X11,X12,X13),X12,X13) = X11
        | c_lessequals(c_insert(X11,X12,X13),c_insert(X14,X12,X13),tc_set(X13))
        | c_lessequals(c_insert(X11,X12,X13),c_insert(X14,X12,X13),tc_set(X13)) )
    | ~ spl0_14
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f80]) ).

fof(f8527,plain,
    ( spl0_334
    | ~ spl0_42
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1519,f1439,f338,f8525]) ).

fof(f8525,plain,
    ( spl0_334
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f1519,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_118 ),
    inference(duplicate_literal_removal,[],[f1495]) ).

fof(f1495,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_118 ),
    inference(resolution,[],[f1440,f339]) ).

fof(f8475,plain,
    ( spl0_333
    | ~ spl0_42
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1494,f1435,f338,f8473]) ).

fof(f8473,plain,
    ( spl0_333
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f1494,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_117 ),
    inference(duplicate_literal_removal,[],[f1470]) ).

fof(f1470,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_117 ),
    inference(resolution,[],[f1436,f339]) ).

fof(f8471,plain,
    ( spl0_332
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1376,f1245,f338,f8469]) ).

fof(f8469,plain,
    ( spl0_332
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f1376,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(duplicate_literal_removal,[],[f1348]) ).

fof(f1348,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(resolution,[],[f1246,f339]) ).

fof(f8467,plain,
    ( spl0_331
    | ~ spl0_42
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1344,f1241,f338,f8465]) ).

fof(f8465,plain,
    ( spl0_331
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f1344,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_112 ),
    inference(duplicate_literal_removal,[],[f1316]) ).

fof(f1316,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_112 ),
    inference(resolution,[],[f1242,f339]) ).

fof(f8463,plain,
    ( spl0_330
    | ~ spl0_42
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1315,f1237,f338,f8461]) ).

fof(f8461,plain,
    ( spl0_330
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f1315,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_111 ),
    inference(duplicate_literal_removal,[],[f1287]) ).

fof(f1287,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_111 ),
    inference(resolution,[],[f1238,f339]) ).

fof(f8459,plain,
    ( spl0_329
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1276,f1229,f338,f8457]) ).

fof(f8457,plain,
    ( spl0_329
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f1276,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(duplicate_literal_removal,[],[f1248]) ).

fof(f1248,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f1230,f339]) ).

fof(f8455,plain,
    ( spl0_328
    | ~ spl0_73
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f976,f962,f768,f8453]) ).

fof(f8453,plain,
    ( spl0_328
  <=> ! [X10,X11,X13,X12] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X12,X13,tc_Message_Omsg),X11,tc_set(tc_Message_Omsg))
        | ~ c_in(X10,c_Message_Osynth(X13),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f976,plain,
    ( ! [X10,X11,X12,X13] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X12,X13,tc_Message_Omsg),X11,tc_set(tc_Message_Omsg))
        | ~ c_in(X10,c_Message_Osynth(X13),tc_Message_Omsg) )
    | ~ spl0_73
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f769]) ).

fof(f8451,plain,
    ( spl0_327
    | ~ spl0_8
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f960,f932,f44,f8449]) ).

fof(f8449,plain,
    ( spl0_327
  <=> ! [X6,X7,X8] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f960,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_85 ),
    inference(resolution,[],[f933,f45]) ).

fof(f8447,plain,
    ( spl0_326
    | ~ spl0_8
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f957,f928,f44,f8445]) ).

fof(f8445,plain,
    ( spl0_326
  <=> ! [X10,X11,X9,X8] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f957,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_84 ),
    inference(resolution,[],[f929,f45]) ).

fof(f8443,plain,
    ( spl0_325
    | ~ spl0_19
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f871,f841,f120,f8441]) ).

fof(f8441,plain,
    ( spl0_325
  <=> ! [X64,X65,X62,X63] :
        ( ~ c_in(X62,c_Message_Osynth(X63),tc_Message_Omsg)
        | c_in(X62,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)
        | ~ c_lessequals(c_Message_Osynth(c_insert(X65,X63,tc_Message_Omsg)),X64,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f871,plain,
    ( ! [X65,X62,X63,X64] :
        ( ~ c_in(X62,c_Message_Osynth(X63),tc_Message_Omsg)
        | c_in(X62,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)
        | ~ c_lessequals(c_Message_Osynth(c_insert(X65,X63,tc_Message_Omsg)),X64,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_77 ),
    inference(resolution,[],[f842,f121]) ).

fof(f8439,plain,
    ( spl0_324
    | ~ spl0_32
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f838,f796,f230,f8437]) ).

fof(f8437,plain,
    ( spl0_324
  <=> ! [X6,X10,X7,X9,X8] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X6,c_Message_Osynth(X10),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f796,plain,
    ( spl0_76
  <=> ! [X4,X0,X3,X2,X1] : c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,X0,X4),X4),X4),tc_set(X4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f838,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_insert(X7,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X6,c_Message_Osynth(X10),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_76 ),
    inference(resolution,[],[f797,f231]) ).

fof(f797,plain,
    ( ! [X2,X3,X0,X1,X4] : c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,X0,X4),X4),X4),tc_set(X4))
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f8435,plain,
    ( spl0_323
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f6823,f6749,f1080,f8433]) ).

fof(f8433,plain,
    ( spl0_323
  <=> ! [X98,X97] :
        ( c_in(X97,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X98)))))),tc_Message_Omsg)
        | ~ c_in(X97,X98,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f1080,plain,
    ( spl0_97
  <=> ! [X9] : c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f6749,plain,
    ( spl0_278
  <=> ! [X32,X30,X31] :
        ( ~ c_in(X30,X31,tc_Message_Omsg)
        | c_in(X30,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg)
        | ~ c_lessequals(X31,X32,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f6823,plain,
    ( ! [X98,X97] :
        ( c_in(X97,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X98)))))),tc_Message_Omsg)
        | ~ c_in(X97,X98,tc_Message_Omsg) )
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(resolution,[],[f6750,f1081]) ).

fof(f1081,plain,
    ( ! [X9] : c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_set(tc_Message_Omsg))
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f6750,plain,
    ( ! [X31,X32,X30] :
        ( ~ c_lessequals(X31,X32,tc_set(tc_Message_Omsg))
        | c_in(X30,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg)
        | ~ c_in(X30,X31,tc_Message_Omsg) )
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f6749]) ).

fof(f8431,plain,
    ( spl0_322
    | ~ spl0_32
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f834,f792,f230,f8429]) ).

fof(f8429,plain,
    ( spl0_322
  <=> ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f792,plain,
    ( spl0_75
  <=> ! [X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X6)),c_Message_Osynth(c_Message_Osynth(X7)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f834,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_75 ),
    inference(resolution,[],[f793,f231]) ).

fof(f793,plain,
    ( ! [X6,X7] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X6)),c_Message_Osynth(c_Message_Osynth(X7)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg)) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f8427,plain,
    ( spl0_321
    | ~ spl0_7
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f744,f741,f36,f8425]) ).

fof(f744,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(X0,X1,X2) = c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,X1,X2),X1,X2),X1,X2)
        | c_lessequals(X0,X1,tc_set(X2)) )
    | ~ spl0_7
    | ~ spl0_72 ),
    inference(resolution,[],[f742,f37]) ).

fof(f7983,plain,
    ( spl0_320
    | ~ spl0_6
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f3115,f3085,f32,f7981]) ).

fof(f7981,plain,
    ( spl0_320
  <=> ! [X48,X47,X50,X49,X46] : c_lessequals(c_Message_Osynth(X46),c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_insert(X50,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f3115,plain,
    ( ! [X50,X48,X46,X49,X47] : c_lessequals(c_Message_Osynth(X46),c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_insert(X50,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_178 ),
    inference(duplicate_literal_removal,[],[f3095]) ).

fof(f3095,plain,
    ( ! [X50,X48,X46,X49,X47] :
        ( c_lessequals(c_Message_Osynth(X46),c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_insert(X50,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X46),c_insert(X47,c_insert(X48,c_insert(X49,c_Message_Osynth(c_insert(X50,X46,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_178 ),
    inference(resolution,[],[f3086,f33]) ).

fof(f7979,plain,
    ( spl0_319
    | ~ spl0_7
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2125,f2044,f36,f7977]) ).

fof(f7977,plain,
    ( spl0_319
  <=> ! [X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),X33,tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_Message_Osynth(X33),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f2125,plain,
    ( ! [X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),X33,tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_Message_Osynth(X33),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2074]) ).

fof(f2074,plain,
    ( ! [X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X32,X33,tc_Message_Omsg),X33,tc_Message_Omsg) = X32
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_Message_Osynth(X33),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_insert(X32,X33,tc_Message_Omsg)),c_Message_Osynth(X33),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_141 ),
    inference(resolution,[],[f2045,f37]) ).

fof(f7975,plain,
    ( spl0_318
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1582,f1443,f106,f7973]) ).

fof(f7973,plain,
    ( spl0_318
  <=> ! [X6,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X6,tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f1582,plain,
    ( ! [X6,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X6,tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1522]) ).

fof(f1522,plain,
    ( ! [X6,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X6,tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f107]) ).

fof(f7971,plain,
    ( spl0_317
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1409,f1378,f338,f7969]) ).

fof(f7969,plain,
    ( spl0_317
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f1409,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(duplicate_literal_removal,[],[f1385]) ).

fof(f1385,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(resolution,[],[f1379,f339]) ).

fof(f7967,plain,
    ( spl0_316
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1040,f1011,f49,f7965]) ).

fof(f1040,plain,
    ( ! [X78,X76,X77,X75] :
        ( c_Main_OsubsetI__1(c_insert(X75,X76,X77),c_insert(X78,X76,X77),X77) = X75
        | c_in(X75,X76,X77)
        | X75 = X78 )
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(resolution,[],[f1012,f50]) ).

fof(f7963,plain,
    ( spl0_315
    | ~ spl0_8
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f922,f899,f44,f7961]) ).

fof(f7961,plain,
    ( spl0_315
  <=> ! [X6,X7,X8] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f922,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_82 ),
    inference(resolution,[],[f900,f45]) ).

fof(f7959,plain,
    ( spl0_314
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f839,f796,f69,f7957]) ).

fof(f7957,plain,
    ( spl0_314
  <=> ! [X11,X14,X13,X12,X15] :
        ( ~ c_in(X11,c_Message_Osynth(X12),tc_Message_Omsg)
        | c_in(X11,c_Message_Osynth(c_insert(X13,c_insert(X14,c_insert(X15,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f839,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( ~ c_in(X11,c_Message_Osynth(X12),tc_Message_Omsg)
        | c_in(X11,c_Message_Osynth(c_insert(X13,c_insert(X14,c_insert(X15,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(resolution,[],[f797,f70]) ).

fof(f7955,plain,
    ( spl0_313
    | ~ spl0_12
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f835,f792,f69,f7953]) ).

fof(f7953,plain,
    ( spl0_313
  <=> ! [X4,X5,X3] :
        ( ~ c_lessequals(X3,X4,tc_set(tc_Message_Omsg))
        | ~ c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f835,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_lessequals(X3,X4,tc_set(tc_Message_Omsg))
        | ~ c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_75 ),
    inference(resolution,[],[f793,f70]) ).

fof(f7951,plain,
    ( spl0_312
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f814,f768,f120,f7949]) ).

fof(f7949,plain,
    ( spl0_312
  <=> ! [X64,X65,X62,X63] :
        ( ~ c_in(X62,c_Message_Osynth(X63),tc_Message_Omsg)
        | c_in(X62,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X65,X63,tc_Message_Omsg),X64,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f814,plain,
    ( ! [X65,X62,X63,X64] :
        ( ~ c_in(X62,c_Message_Osynth(X63),tc_Message_Omsg)
        | c_in(X62,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg)
        | ~ c_lessequals(c_insert(X65,X63,tc_Message_Omsg),X64,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(resolution,[],[f769,f121]) ).

fof(f7947,plain,
    ( spl0_311
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2833,f2056,f44,f7945]) ).

fof(f7945,plain,
    ( spl0_311
  <=> ! [X11,X12,X10] :
        ( c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2056,plain,
    ( spl0_144
  <=> ! [X13,X12] : c_lessequals(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2833,plain,
    ( ! [X10,X11,X12] :
        ( c_in(X10,c_insert(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(resolution,[],[f2057,f45]) ).

fof(f2057,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f2056]) ).

fof(f7822,plain,
    ( spl0_310
    | ~ spl0_11
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1583,f1443,f61,f7820]) ).

fof(f7820,plain,
    ( spl0_310
  <=> ! [X4,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f1583,plain,
    ( ! [X3,X4] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_119 ),
    inference(duplicate_literal_removal,[],[f1521]) ).

fof(f1521,plain,
    ( ! [X3,X4] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_119 ),
    inference(resolution,[],[f1444,f62]) ).

fof(f7818,plain,
    ( spl0_309
    | ~ spl0_42
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1197,f1154,f338,f7816]) ).

fof(f7816,plain,
    ( spl0_309
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f1197,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_103 ),
    inference(duplicate_literal_removal,[],[f1173]) ).

fof(f1173,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_103 ),
    inference(resolution,[],[f1155,f339]) ).

fof(f7814,plain,
    ( spl0_308
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1078,f1043,f338,f7812]) ).

fof(f7812,plain,
    ( spl0_308
  <=> ! [X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f1078,plain,
    ( ! [X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(duplicate_literal_removal,[],[f1050]) ).

fof(f1050,plain,
    ( ! [X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f1044,f339]) ).

fof(f7810,plain,
    ( spl0_307
    | ~ spl0_32
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f734,f687,f230,f7808]) ).

fof(f7808,plain,
    ( spl0_307
  <=> ! [X0,X3,X2,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X3),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f734,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X3),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_70 ),
    inference(resolution,[],[f688,f231]) ).

fof(f7806,plain,
    ( spl0_306
    | ~ spl0_32
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f731,f679,f230,f7804]) ).

fof(f7804,plain,
    ( spl0_306
  <=> ! [X0,X3,X2,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X3),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f731,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X3),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_68 ),
    inference(resolution,[],[f680,f231]) ).

fof(f7802,plain,
    ( spl0_305
    | ~ spl0_8
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2722,f1889,f44,f7800]) ).

fof(f7800,plain,
    ( spl0_305
  <=> ! [X11,X12,X10] :
        ( c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f1889,plain,
    ( spl0_137
  <=> ! [X13,X12] : c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2722,plain,
    ( ! [X10,X11,X12] :
        ( c_in(X10,c_Message_Osynth(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_137 ),
    inference(resolution,[],[f1890,f45]) ).

fof(f1890,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1889]) ).

fof(f7468,plain,
    ( spl0_304
    | ~ spl0_6
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3040,f2889,f32,f7466]) ).

fof(f7466,plain,
    ( spl0_304
  <=> ! [X2,X4,X0,X5,X3,X1] : c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,X0,X5),X5),X5),X5),tc_set(X5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f3040,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,X0,X5),X5),X5),X5),tc_set(X5))
    | ~ spl0_6
    | ~ spl0_171 ),
    inference(duplicate_literal_removal,[],[f3000]) ).

fof(f3000,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,X0,X5),X5),X5),X5),tc_set(X5))
        | c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,X0,X5),X5),X5),X5),tc_set(X5)) )
    | ~ spl0_6
    | ~ spl0_171 ),
    inference(resolution,[],[f2890,f33]) ).

fof(f7464,plain,
    ( spl0_303
    | ~ spl0_8
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2478,f1649,f44,f7462]) ).

fof(f7462,plain,
    ( spl0_303
  <=> ! [X11,X12,X10] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X12),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1649,plain,
    ( spl0_134
  <=> ! [X13,X12] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2478,plain,
    ( ! [X10,X11,X12] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,c_Message_Osynth(X12),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_134 ),
    inference(resolution,[],[f1650,f45]) ).

fof(f1650,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1649]) ).

fof(f7460,plain,
    ( spl0_302
    | ~ spl0_6
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2860,f2753,f32,f7458]) ).

fof(f7458,plain,
    ( spl0_302
  <=> ! [X35,X33,X34,X36] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f2860,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_167 ),
    inference(duplicate_literal_removal,[],[f2840]) ).

fof(f2840,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_167 ),
    inference(resolution,[],[f2754,f33]) ).

fof(f7456,plain,
    ( spl0_301
    | ~ spl0_6
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2823,f2749,f32,f7454]) ).

fof(f7454,plain,
    ( spl0_301
  <=> ! [X35,X33,X34,X36] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_Message_Osynth(c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f2823,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_Message_Osynth(c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_166 ),
    inference(duplicate_literal_removal,[],[f2803]) ).

fof(f2803,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_Message_Osynth(c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_Message_Osynth(c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_166 ),
    inference(resolution,[],[f2750,f33]) ).

fof(f7452,plain,
    ( spl0_300
    | ~ spl0_6
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2790,f2745,f32,f7450]) ).

fof(f7450,plain,
    ( spl0_300
  <=> ! [X35,X33,X34,X36] : c_lessequals(c_Message_Osynth(X33),c_Message_Osynth(c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f2790,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(c_Message_Osynth(X33),c_Message_Osynth(c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_165 ),
    inference(duplicate_literal_removal,[],[f2770]) ).

fof(f2770,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(c_Message_Osynth(X33),c_Message_Osynth(c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X33),c_Message_Osynth(c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_165 ),
    inference(resolution,[],[f2746,f33]) ).

fof(f7448,plain,
    ( spl0_299
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1278,f1233,f16,f7446]) ).

fof(f7446,plain,
    ( spl0_299
  <=> ! [X4,X3] :
        ( c_in(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f1278,plain,
    ( ! [X3,X4] :
        ( c_in(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg) = X3 )
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(resolution,[],[f1234,f17]) ).

fof(f7444,plain,
    ( spl0_298
    | ~ spl0_42
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1130,f1087,f338,f7442]) ).

fof(f7442,plain,
    ( spl0_298
  <=> ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f1130,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_98 ),
    inference(duplicate_literal_removal,[],[f1106]) ).

fof(f1106,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_Message_Osynth(X2),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_98 ),
    inference(resolution,[],[f1088,f339]) ).

fof(f7440,plain,
    ( spl0_297
    | ~ spl0_3
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f979,f962,f20,f7438]) ).

fof(f7438,plain,
    ( spl0_297
  <=> ! [X22,X24,X23] :
        ( c_in(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X23))),tc_Message_Omsg)
        | ~ c_lessequals(X24,X23,tc_set(tc_Message_Omsg))
        | ~ c_in(X22,c_Message_Osynth(X24),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f979,plain,
    ( ! [X24,X22,X23] :
        ( c_in(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X23))),tc_Message_Omsg)
        | ~ c_lessequals(X24,X23,tc_set(tc_Message_Omsg))
        | ~ c_in(X22,c_Message_Osynth(X24),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f21]) ).

fof(f7436,plain,
    ( spl0_296
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f837,f796,f44,f7434]) ).

fof(f7434,plain,
    ( spl0_296
  <=> ! [X3,X4,X0,X5,X2,X1] :
        ( c_in(X0,c_insert(X1,c_insert(X2,c_insert(X3,X4,X5),X5),X5),X5)
        | ~ c_in(X0,X4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f837,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_in(X0,c_insert(X1,c_insert(X2,c_insert(X3,X4,X5),X5),X5),X5)
        | ~ c_in(X0,X4,X5) )
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(resolution,[],[f797,f45]) ).

fof(f7432,plain,
    ( spl0_295
    | ~ spl0_12
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f735,f687,f69,f7430]) ).

fof(f7430,plain,
    ( spl0_295
  <=> ! [X5,X4,X7,X6] :
        ( ~ c_in(X4,c_Message_Osynth(X5),tc_Message_Omsg)
        | c_in(X4,c_Message_Osynth(c_insert(X6,c_Message_Osynth(c_insert(X7,X5,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f735,plain,
    ( ! [X6,X7,X4,X5] :
        ( ~ c_in(X4,c_Message_Osynth(X5),tc_Message_Omsg)
        | c_in(X4,c_Message_Osynth(c_insert(X6,c_Message_Osynth(c_insert(X7,X5,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_70 ),
    inference(resolution,[],[f688,f70]) ).

fof(f7149,plain,
    ( spl0_294
    | ~ spl0_6
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2639,f2606,f32,f7147]) ).

fof(f7147,plain,
    ( spl0_294
  <=> ! [X35,X33,X34,X36] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f2639,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f2619]) ).

fof(f2619,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X33),c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_161 ),
    inference(resolution,[],[f2607,f33]) ).

fof(f7145,plain,
    ( spl0_293
    | ~ spl0_2
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1212,f1166,f16,f7143]) ).

fof(f7143,plain,
    ( spl0_293
  <=> ! [X4,X3] :
        ( c_in(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f1212,plain,
    ( ! [X3,X4] :
        ( c_in(X3,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3 )
    | ~ spl0_2
    | ~ spl0_106 ),
    inference(resolution,[],[f1167,f17]) ).

fof(f7141,plain,
    ( spl0_292
    | ~ spl0_29
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f973,f962,f209,f7139]) ).

fof(f7139,plain,
    ( spl0_292
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | ~ c_in(X0,X2,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f973,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | ~ c_in(X0,X2,tc_Message_Omsg) )
    | ~ spl0_29
    | ~ spl0_87 ),
    inference(resolution,[],[f963,f210]) ).

fof(f7137,plain,
    ( spl0_291
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f661,f466,f230,f7135]) ).

fof(f7135,plain,
    ( spl0_291
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f661,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(resolution,[],[f467,f231]) ).

fof(f7105,plain,
    ( spl0_290
    | ~ spl0_35
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f6822,f6749,f267,f7103]) ).

fof(f7103,plain,
    ( spl0_290
  <=> ! [X96,X95] :
        ( c_in(X95,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X96))))),tc_Message_Omsg)
        | ~ c_in(X95,X96,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f6822,plain,
    ( ! [X96,X95] :
        ( c_in(X95,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X96))))),tc_Message_Omsg)
        | ~ c_in(X95,X96,tc_Message_Omsg) )
    | ~ spl0_35
    | ~ spl0_278 ),
    inference(resolution,[],[f6750,f268]) ).

fof(f6795,plain,
    ( spl0_289
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2594,f2359,f32,f6793]) ).

fof(f6793,plain,
    ( spl0_289
  <=> ! [X35,X33,X34,X36] : c_lessequals(X33,c_insert(X34,c_insert(X35,c_insert(X36,c_Message_Osynth(X33),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f2594,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(X33,c_insert(X34,c_insert(X35,c_insert(X36,c_Message_Osynth(X33),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(duplicate_literal_removal,[],[f2570]) ).

fof(f2570,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(X33,c_insert(X34,c_insert(X35,c_insert(X36,c_Message_Osynth(X33),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X33,c_insert(X34,c_insert(X35,c_insert(X36,c_Message_Osynth(X33),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(resolution,[],[f2360,f33]) ).

fof(f6791,plain,
    ( spl0_288
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2546,f2351,f32,f6789]) ).

fof(f6789,plain,
    ( spl0_288
  <=> ! [X35,X33,X34,X36] : c_lessequals(X33,c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f2546,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(X33,c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(duplicate_literal_removal,[],[f2522]) ).

fof(f2522,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(X33,c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X33,c_insert(X34,c_insert(X35,c_Message_Osynth(c_insert(X36,X33,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(resolution,[],[f2352,f33]) ).

fof(f6787,plain,
    ( spl0_287
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2509,f2347,f32,f6785]) ).

fof(f6785,plain,
    ( spl0_287
  <=> ! [X35,X33,X34,X36] : c_lessequals(X33,c_insert(X34,c_Message_Osynth(c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f2509,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(X33,c_insert(X34,c_Message_Osynth(c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2485]) ).

fof(f2485,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(X33,c_insert(X34,c_Message_Osynth(c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X33,c_insert(X34,c_Message_Osynth(c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_156 ),
    inference(resolution,[],[f2348,f33]) ).

fof(f6783,plain,
    ( spl0_286
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2333,f1600,f44,f6781]) ).

fof(f6781,plain,
    ( spl0_286
  <=> ! [X11,X12,X10] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f1600,plain,
    ( spl0_126
  <=> ! [X13,X12] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2333,plain,
    ( ! [X10,X11,X12] :
        ( c_in(X10,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X10,X12,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(resolution,[],[f1601,f45]) ).

fof(f1601,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f6779,plain,
    ( spl0_285
    | ~ spl0_6
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2468,f2343,f32,f6777]) ).

fof(f6777,plain,
    ( spl0_285
  <=> ! [X35,X33,X34,X36] : c_lessequals(X33,c_Message_Osynth(c_insert(X34,c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f2468,plain,
    ( ! [X36,X34,X35,X33] : c_lessequals(X33,c_Message_Osynth(c_insert(X34,c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f2444]) ).

fof(f2444,plain,
    ( ! [X36,X34,X35,X33] :
        ( c_lessequals(X33,c_Message_Osynth(c_insert(X34,c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X33,c_Message_Osynth(c_insert(X34,c_insert(X35,c_insert(X36,X33,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_155 ),
    inference(resolution,[],[f2344,f33]) ).

fof(f6775,plain,
    ( spl0_284
    | ~ spl0_6
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2290,f2176,f32,f6773]) ).

fof(f6773,plain,
    ( spl0_284
  <=> ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f2290,plain,
    ( ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f2270]) ).

fof(f2270,plain,
    ( ! [X24,X25,X23] :
        ( c_lessequals(c_Message_Osynth(X23),c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X23),c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_148 ),
    inference(resolution,[],[f2177,f33]) ).

fof(f6771,plain,
    ( spl0_283
    | ~ spl0_6
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2259,f2172,f32,f6769]) ).

fof(f6769,plain,
    ( spl0_283
  <=> ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f2259,plain,
    ( ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_147 ),
    inference(duplicate_literal_removal,[],[f2239]) ).

fof(f2239,plain,
    ( ! [X24,X25,X23] :
        ( c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_147 ),
    inference(resolution,[],[f2173,f33]) ).

fof(f6767,plain,
    ( spl0_282
    | ~ spl0_6
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2228,f2168,f32,f6765]) ).

fof(f6765,plain,
    ( spl0_282
  <=> ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f2228,plain,
    ( ! [X24,X25,X23] : c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f2208]) ).

fof(f2208,plain,
    ( ! [X24,X25,X23] :
        ( c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_insert(X25,X23,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_146 ),
    inference(resolution,[],[f2169,f33]) ).

fof(f6763,plain,
    ( spl0_281
    | ~ spl0_8
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f739,f691,f44,f6761]) ).

fof(f6761,plain,
    ( spl0_281
  <=> ! [X10,X11,X9,X8] :
        ( c_in(X8,c_insert(X9,c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f739,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_in(X8,c_insert(X9,c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_71 ),
    inference(resolution,[],[f692,f45]) ).

fof(f6759,plain,
    ( spl0_280
    | ~ spl0_8
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f736,f687,f44,f6757]) ).

fof(f6757,plain,
    ( spl0_280
  <=> ! [X10,X11,X9,X8] :
        ( c_in(X8,c_insert(X9,c_Message_Osynth(c_insert(X10,X11,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f736,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_in(X8,c_insert(X9,c_Message_Osynth(c_insert(X10,X11,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_70 ),
    inference(resolution,[],[f688,f45]) ).

fof(f6755,plain,
    ( spl0_279
    | ~ spl0_8
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f733,f679,f44,f6753]) ).

fof(f6753,plain,
    ( spl0_279
  <=> ! [X10,X11,X9,X8] :
        ( c_in(X8,c_Message_Osynth(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f733,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_in(X8,c_Message_Osynth(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X8,X11,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_68 ),
    inference(resolution,[],[f680,f45]) ).

fof(f6751,plain,
    ( spl0_278
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f398,f209,f120,f6749]) ).

fof(f398,plain,
    ( ! [X31,X32,X30] :
        ( ~ c_in(X30,X31,tc_Message_Omsg)
        | c_in(X30,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg)
        | ~ c_lessequals(X31,X32,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(resolution,[],[f210,f121]) ).

fof(f6660,plain,
    ( spl0_277
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1954,f1893,f32,f6658]) ).

fof(f6658,plain,
    ( spl0_277
  <=> ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f1954,plain,
    ( ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(duplicate_literal_removal,[],[f1934]) ).

fof(f1934,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(resolution,[],[f1894,f33]) ).

fof(f6656,plain,
    ( spl0_276
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1927,f1885,f32,f6654]) ).

fof(f6654,plain,
    ( spl0_276
  <=> ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f1927,plain,
    ( ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(duplicate_literal_removal,[],[f1907]) ).

fof(f1907,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(c_Message_Osynth(X15),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X15),c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(resolution,[],[f1886,f33]) ).

fof(f6652,plain,
    ( spl0_275
    | ~ spl0_2
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1132,f1091,f16,f6650]) ).

fof(f6650,plain,
    ( spl0_275
  <=> ! [X4,X3] :
        ( c_in(X3,c_Message_Osynth(X4),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1132,plain,
    ( ! [X3,X4] :
        ( c_in(X3,c_Message_Osynth(X4),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3 )
    | ~ spl0_2
    | ~ spl0_99 ),
    inference(resolution,[],[f1092,f17]) ).

fof(f6518,plain,
    ( spl0_274
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f643,f620,f457,f6516]) ).

fof(f6516,plain,
    ( spl0_274
  <=> ! [X119,X115,X118,X117,X120,X121,X116] :
        ( c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X115
        | c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X116
        | c_lessequals(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X117
        | c_Main_OsubsetI__1(c_insert(X118,X119,tc_Message_Omsg),c_insert(X121,X119,tc_Message_Omsg),tc_Message_Omsg) = X118
        | c_in(c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg),c_Message_Osynth(c_insert(X121,X119,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f457,plain,
    ( spl0_50
  <=> ! [X5,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5
        | ~ c_in(X8,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X8,c_Message_Osynth(c_insert(X7,X6,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f620,plain,
    ( spl0_65
  <=> ! [X31,X34,X29,X33,X32,X30] :
        ( c_lessequals(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,tc_set(X33))
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X29
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X30
        | c_in(c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33),X32,X33)
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X31 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f643,plain,
    ( ! [X120,X118,X121,X119,X116,X117,X115] :
        ( c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X115
        | c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X116
        | c_lessequals(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg) = X117
        | c_Main_OsubsetI__1(c_insert(X118,X119,tc_Message_Omsg),c_insert(X121,X119,tc_Message_Omsg),tc_Message_Omsg) = X118
        | c_in(c_Main_OsubsetI__1(c_insert(X115,c_insert(X116,c_insert(X117,c_Message_Osynth(c_insert(X118,X119,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X120,tc_Message_Omsg),c_Message_Osynth(c_insert(X121,X119,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f458]) ).

fof(f458,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ c_in(X8,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_in(X8,c_Message_Osynth(c_insert(X7,X6,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f621,plain,
    ( ! [X31,X29,X34,X32,X30,X33] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33),X32,X33)
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X29
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X30
        | c_lessequals(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,tc_set(X33))
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X31 )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f6376,plain,
    ( spl0_273
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f640,f620,f49,f6374]) ).

fof(f6374,plain,
    ( spl0_273
  <=> ! [X102,X98,X101,X100,X99,X97,X96] :
        ( c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X96
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X97
        | c_lessequals(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,tc_set(X101))
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X98
        | c_in(c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101),X100,X101)
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X99 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f640,plain,
    ( ! [X101,X98,X99,X96,X97,X102,X100] :
        ( c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X96
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X97
        | c_lessequals(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,tc_set(X101))
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X98
        | c_in(c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101),X100,X101)
        | c_Main_OsubsetI__1(c_insert(X96,c_insert(X97,c_insert(X98,c_insert(X99,X100,X101),X101),X101),X101),X102,X101) = X99 )
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f50]) ).

fof(f6274,plain,
    ( spl0_272
    | ~ spl0_43
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f644,f620,f365,f6272]) ).

fof(f6272,plain,
    ( spl0_272
  <=> ! [X123,X125,X122,X127,X126,X124] :
        ( c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X122
        | c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X123
        | c_lessequals(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X124
        | c_Main_OsubsetI__1(c_insert(X125,X126,tc_Message_Omsg),c_Message_Osynth(X126),tc_Message_Omsg) = X125
        | c_in(c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X126)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f365,plain,
    ( spl0_43
  <=> ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f644,plain,
    ( ! [X126,X127,X124,X125,X122,X123] :
        ( c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X122
        | c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X123
        | c_lessequals(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg) = X124
        | c_Main_OsubsetI__1(c_insert(X125,X126,tc_Message_Omsg),c_Message_Osynth(X126),tc_Message_Omsg) = X125
        | c_in(c_Main_OsubsetI__1(c_insert(X122,c_insert(X123,c_insert(X124,c_Message_Osynth(c_insert(X125,X126,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X127,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X126)),tc_Message_Omsg) )
    | ~ spl0_43
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f366]) ).

fof(f366,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f6072,plain,
    ( spl0_271
    | ~ spl0_38
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f645,f620,f282,f6070]) ).

fof(f6070,plain,
    ( spl0_271
  <=> ! [X133,X130,X132,X128,X131,X129] :
        ( c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X128
        | c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X129
        | c_lessequals(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X130
        | c_Main_OsubsetI__1(c_insert(X131,X132,tc_Message_Omsg),X132,tc_Message_Omsg) = X131
        | c_in(c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg),c_Message_Osynth(X132),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f645,plain,
    ( ! [X132,X133,X130,X131,X128,X129] :
        ( c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X128
        | c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X129
        | c_lessequals(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg) = X130
        | c_Main_OsubsetI__1(c_insert(X131,X132,tc_Message_Omsg),X132,tc_Message_Omsg) = X131
        | c_in(c_Main_OsubsetI__1(c_insert(X128,c_insert(X129,c_insert(X130,c_Message_Osynth(c_insert(X131,X132,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X133,tc_Message_Omsg),c_Message_Osynth(X132),tc_Message_Omsg) )
    | ~ spl0_38
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f283]) ).

fof(f6068,plain,
    ( spl0_270
    | ~ spl0_48
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f638,f620,f408,f6066]) ).

fof(f6066,plain,
    ( spl0_270
  <=> ! [X81,X88,X83,X84,X85,X87,X82,X86] :
        ( c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X81
        | c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X82
        | c_lessequals(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,tc_set(X86))
        | c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X83
        | c_in(c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86),c_insert(X88,X85,X86),X86)
        | c_Main_OsubsetI__1(c_insert(X84,X85,X86),c_insert(X88,X85,X86),X86) = X84 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f408,plain,
    ( spl0_48
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,X1,X2),X2) = X0
        | c_in(X4,c_insert(X3,X1,X2),X2)
        | ~ c_in(X4,c_insert(X0,X1,X2),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f638,plain,
    ( ! [X82,X83,X81,X88,X86,X87,X84,X85] :
        ( c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X81
        | c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X82
        | c_lessequals(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,tc_set(X86))
        | c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86) = X83
        | c_in(c_Main_OsubsetI__1(c_insert(X81,c_insert(X82,c_insert(X83,c_insert(X84,X85,X86),X86),X86),X86),X87,X86),c_insert(X88,X85,X86),X86)
        | c_Main_OsubsetI__1(c_insert(X84,X85,X86),c_insert(X88,X85,X86),X86) = X84 )
    | ~ spl0_48
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f409]) ).

fof(f409,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_in(X4,c_insert(X0,X1,X2),X2)
        | c_in(X4,c_insert(X3,X1,X2),X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,X1,X2),X2) = X0 )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f5944,plain,
    ( spl0_269
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f641,f620,f286,f5942]) ).

fof(f5942,plain,
    ( spl0_269
  <=> ! [X108,X105,X106,X107,X104,X103] :
        ( c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X103
        | c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X104
        | c_lessequals(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X105
        | c_in(c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg),c_Message_Osynth(X107),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X106,X107,tc_Message_Omsg),c_Message_Osynth(X107),tc_Message_Omsg) = X106 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f641,plain,
    ( ! [X108,X106,X107,X104,X105,X103] :
        ( c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X103
        | c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X104
        | c_lessequals(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg) = X105
        | c_in(c_Main_OsubsetI__1(c_insert(X103,c_insert(X104,c_insert(X105,c_insert(X106,X107,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X108,tc_Message_Omsg),c_Message_Osynth(X107),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X106,X107,tc_Message_Omsg),c_Message_Osynth(X107),tc_Message_Omsg) = X106 )
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f287]) ).

fof(f5802,plain,
    ( spl0_268
    | ~ spl0_34
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f639,f620,f258,f5800]) ).

fof(f5800,plain,
    ( spl0_268
  <=> ! [X92,X94,X95,X93,X91,X90,X89] :
        ( c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X89
        | c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X90
        | c_lessequals(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,tc_set(X94))
        | c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X91
        | c_in(c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94),X93,X94)
        | c_Main_OsubsetI__1(c_insert(X92,X93,X94),X93,X94) = X92 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f639,plain,
    ( ! [X90,X91,X89,X94,X95,X92,X93] :
        ( c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X89
        | c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X90
        | c_lessequals(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,tc_set(X94))
        | c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94) = X91
        | c_in(c_Main_OsubsetI__1(c_insert(X89,c_insert(X90,c_insert(X91,c_insert(X92,X93,X94),X94),X94),X94),X95,X94),X93,X94)
        | c_Main_OsubsetI__1(c_insert(X92,X93,X94),X93,X94) = X92 )
    | ~ spl0_34
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f259]) ).

fof(f5786,plain,
    ( spl0_267
    | ~ spl0_53
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f646,f620,f477,f5784]) ).

fof(f5784,plain,
    ( spl0_267
  <=> ! [X75,X74,X77,X76,X78,X73,X80,X79] :
        ( c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X73
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X74
        | c_lessequals(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),tc_set(X77))
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X75 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f646,plain,
    ( ! [X73,X80,X78,X79,X76,X77,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X73
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X74
        | c_lessequals(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),tc_set(X77))
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X75 )
    | ~ spl0_53
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f637]) ).

fof(f637,plain,
    ( ! [X73,X80,X78,X79,X76,X77,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X73
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X74
        | c_lessequals(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),tc_set(X77))
        | c_Main_OsubsetI__1(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),X77) = X75
        | c_lessequals(c_insert(X73,c_insert(X74,c_insert(X75,X76,X77),X77),X77),c_insert(X78,c_insert(X79,c_insert(X80,X76,X77),X77),X77),tc_set(X77)) )
    | ~ spl0_53
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f478]) ).

fof(f5690,plain,
    ( spl0_266
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f642,f620,f120,f5688]) ).

fof(f5688,plain,
    ( spl0_266
  <=> ! [X112,X111,X113,X114,X110,X109] :
        ( c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X109
        | c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X110
        | c_lessequals(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X111
        | c_in(c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X114)),tc_Message_Omsg)
        | ~ c_lessequals(X112,X114,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f642,plain,
    ( ! [X113,X111,X109,X114,X112,X110] :
        ( c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X109
        | c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X110
        | c_lessequals(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg) = X111
        | c_in(c_Main_OsubsetI__1(c_insert(X109,c_insert(X110,c_insert(X111,c_Message_Osynth(c_Message_Osynth(X112)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X113,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X114)),tc_Message_Omsg)
        | ~ c_lessequals(X112,X114,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f121]) ).

fof(f5668,plain,
    ( spl0_265
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f649,f620,f400,f5666]) ).

fof(f5666,plain,
    ( spl0_265
  <=> ! [X59,X60,X55,X57,X58,X56] :
        ( c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X55
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X56
        | c_lessequals(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X57 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f649,plain,
    ( ! [X58,X59,X56,X57,X55,X60] :
        ( c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X55
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X56
        | c_lessequals(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X57 )
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f634]) ).

fof(f634,plain,
    ( ! [X58,X59,X56,X57,X55,X60] :
        ( c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X55
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X56
        | c_lessequals(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X57
        | c_lessequals(c_insert(X55,c_insert(X56,c_insert(X57,X58,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X59,c_insert(X60,X58,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f401]) ).

fof(f5664,plain,
    ( spl0_264
    | ~ spl0_47
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f648,f620,f404,f5662]) ).

fof(f5662,plain,
    ( spl0_264
  <=> ! [X65,X61,X64,X63,X62,X66] :
        ( c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X61
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X62
        | c_lessequals(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X63 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f648,plain,
    ( ! [X65,X62,X63,X66,X61,X64] :
        ( c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X61
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X62
        | c_lessequals(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X63 )
    | ~ spl0_47
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f635]) ).

fof(f635,plain,
    ( ! [X65,X62,X63,X66,X61,X64] :
        ( c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X61
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X62
        | c_lessequals(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X63
        | c_lessequals(c_insert(X61,c_insert(X62,c_insert(X63,X64,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X65,c_Message_Osynth(c_insert(X66,X64,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f405]) ).

fof(f5660,plain,
    ( spl0_263
    | ~ spl0_49
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f647,f620,f412,f5658]) ).

fof(f5658,plain,
    ( spl0_263
  <=> ! [X69,X68,X71,X70,X67,X72] :
        ( c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X67
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X69 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f647,plain,
    ( ! [X72,X70,X71,X68,X69,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X67
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X69 )
    | ~ spl0_49
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f636]) ).

fof(f636,plain,
    ( ! [X72,X70,X71,X68,X69,X67] :
        ( c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X67
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X68
        | c_lessequals(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X69
        | c_lessequals(c_insert(X67,c_insert(X68,c_insert(X69,X70,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X71,c_insert(X72,c_Message_Osynth(X70),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f413]) ).

fof(f5644,plain,
    ( spl0_262
    | ~ spl0_25
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f650,f620,f167,f5642]) ).

fof(f5642,plain,
    ( spl0_262
  <=> ! [X48,X51,X54,X53,X50,X49,X52] :
        ( c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X48
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X49
        | c_lessequals(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),tc_set(X52))
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X50 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f650,plain,
    ( ! [X50,X51,X48,X49,X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X48
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X49
        | c_lessequals(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),tc_set(X52))
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X50 )
    | ~ spl0_25
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f633]) ).

fof(f633,plain,
    ( ! [X50,X51,X48,X49,X54,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X48
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X49
        | c_lessequals(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),tc_set(X52))
        | c_Main_OsubsetI__1(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),X52) = X50
        | c_lessequals(c_insert(X48,c_insert(X49,c_insert(X50,X51,X52),X52),X52),c_insert(X53,c_insert(X54,X51,X52),X52),tc_set(X52)) )
    | ~ spl0_25
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f168]) ).

fof(f5522,plain,
    ( spl0_261
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f464,f457,f177,f5520]) ).

fof(f5520,plain,
    ( spl0_261
  <=> ! [X18,X19,X17,X21,X22,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_insert(X19,X18,tc_Message_Omsg),tc_Message_Omsg) = X17
        | c_in(c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg)),tc_Message_Omsg)
        | c_lessequals(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg) = X20
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg) = X21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f177,plain,
    ( spl0_26
  <=> ! [X10,X11,X13,X12,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X9
        | c_lessequals(c_insert(X9,c_insert(X10,X11,X12),X12),X13,tc_set(X12))
        | c_in(c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12),X11,X12)
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f464,plain,
    ( ! [X21,X18,X19,X17,X22,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,X18,tc_Message_Omsg),c_insert(X19,X18,tc_Message_Omsg),tc_Message_Omsg) = X17
        | c_in(c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg),c_Message_Osynth(c_insert(X19,X18,tc_Message_Omsg)),tc_Message_Omsg)
        | c_lessequals(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg) = X20
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_Message_Osynth(c_insert(X17,X18,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X22,tc_Message_Omsg) = X21 )
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(resolution,[],[f458,f178]) ).

fof(f178,plain,
    ( ! [X10,X11,X9,X12,X13] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12),X11,X12)
        | c_lessequals(c_insert(X9,c_insert(X10,X11,X12),X12),X13,tc_set(X12))
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X10 )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f5494,plain,
    ( spl0_260
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f654,f620,f290,f5492]) ).

fof(f5492,plain,
    ( spl0_260
  <=> ! [X28,X31,X29,X30,X32] :
        ( c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X28
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X30 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f654,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X28
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X30 )
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f629]) ).

fof(f629,plain,
    ( ! [X31,X28,X29,X32,X30] :
        ( c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X28
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X29
        | c_lessequals(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X28,c_insert(X29,c_insert(X30,X31,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X32,c_Message_Osynth(X31),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f291]) ).

fof(f5490,plain,
    ( spl0_259
    | ~ spl0_37
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f653,f620,f278,f5488]) ).

fof(f5488,plain,
    ( spl0_259
  <=> ! [X37,X33,X34,X36,X35] :
        ( c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X33
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X35 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f653,plain,
    ( ! [X36,X37,X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X33
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X35 )
    | ~ spl0_37
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f630]) ).

fof(f630,plain,
    ( ! [X36,X37,X34,X35,X33] :
        ( c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X33
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_Message_Omsg) = X35
        | c_lessequals(c_insert(X33,c_insert(X34,c_insert(X35,X36,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X37,X36,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f279]) ).

fof(f5486,plain,
    ( spl0_258
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f651,f620,f294,f5484]) ).

fof(f5484,plain,
    ( spl0_258
  <=> ! [X44,X43,X47,X46,X45] :
        ( c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X44
        | c_lessequals(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X45 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f651,plain,
    ( ! [X46,X47,X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X44
        | c_lessequals(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X45 )
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f632]) ).

fof(f632,plain,
    ( ! [X46,X47,X44,X45,X43] :
        ( c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X44
        | c_lessequals(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_Message_Omsg) = X45
        | c_lessequals(c_insert(X43,c_insert(X44,c_insert(X45,X46,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X47,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f295]) ).

fof(f5476,plain,
    ( spl0_257
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f604,f585,f477,f5474]) ).

fof(f5474,plain,
    ( spl0_257
  <=> ! [X73,X74,X75,X76,X70,X71,X72] :
        ( c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X72,X76,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f585,plain,
    ( spl0_64
  <=> ! [X38,X36,X35,X39,X37] :
        ( c_lessequals(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X35
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X36
        | c_in(c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X39)),tc_Message_Omsg)
        | ~ c_lessequals(X37,X39,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f604,plain,
    ( ! [X72,X70,X73,X71,X76,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X72,X76,tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f602]) ).

fof(f602,plain,
    ( ! [X72,X70,X73,X71,X76,X74,X75] :
        ( c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X70
        | c_Main_OsubsetI__1(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X71
        | c_lessequals(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X72,X76,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X70,c_insert(X71,c_Message_Osynth(c_Message_Osynth(X72)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X73,c_insert(X74,c_insert(X75,c_Message_Osynth(c_Message_Osynth(X76)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f478]) ).

fof(f586,plain,
    ( ! [X38,X39,X36,X37,X35] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X39)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X35
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X36
        | c_lessequals(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X37,X39,tc_set(tc_Message_Omsg)) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f5380,plain,
    ( spl0_256
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f372,f365,f177,f5378]) ).

fof(f5378,plain,
    ( spl0_256
  <=> ! [X17,X13,X14,X16,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg) = X13
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg)
        | c_lessequals(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f372,plain,
    ( ! [X16,X14,X17,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg) = X13
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg)
        | c_lessequals(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X16 )
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(resolution,[],[f366,f178]) ).

fof(f5286,plain,
    ( spl0_255
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f655,f620,f139,f5284]) ).

fof(f5284,plain,
    ( spl0_255
  <=> ! [X24,X23,X27,X25,X26] :
        ( c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X25 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f655,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X25 )
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f628]) ).

fof(f628,plain,
    ( ! [X26,X27,X24,X25,X23] :
        ( c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X24
        | c_lessequals(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg) = X25
        | c_lessequals(c_insert(X23,c_insert(X24,c_insert(X25,X26,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f140]) ).

fof(f5282,plain,
    ( spl0_254
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f652,f620,f143,f5280]) ).

fof(f5280,plain,
    ( spl0_254
  <=> ! [X38,X41,X40,X42,X39] :
        ( c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X38
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X40 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f652,plain,
    ( ! [X40,X38,X41,X39,X42] :
        ( c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X38
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X40 )
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f631]) ).

fof(f631,plain,
    ( ! [X40,X38,X41,X39,X42] :
        ( c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X38
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X39
        | c_lessequals(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_Message_Omsg) = X40
        | c_lessequals(c_insert(X38,c_insert(X39,c_insert(X40,X41,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_insert(X42,c_Message_Osynth(X41),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f144]) ).

fof(f5278,plain,
    ( spl0_253
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f443,f408,f177,f5276]) ).

fof(f5276,plain,
    ( spl0_253
  <=> ! [X24,X20,X21,X22,X23,X25,X26] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24),c_insert(X26,X23,X24),X24)
        | c_Main_OsubsetI__1(c_insert(X22,X23,X24),c_insert(X26,X23,X24),X24) = X22
        | c_lessequals(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,tc_set(X24))
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24) = X20
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24) = X21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f443,plain,
    ( ! [X21,X26,X24,X22,X25,X23,X20] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24),c_insert(X26,X23,X24),X24)
        | c_Main_OsubsetI__1(c_insert(X22,X23,X24),c_insert(X26,X23,X24),X24) = X22
        | c_lessequals(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,tc_set(X24))
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24) = X20
        | c_Main_OsubsetI__1(c_insert(X20,c_insert(X21,c_insert(X22,X23,X24),X24),X24),X25,X24) = X21 )
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(resolution,[],[f409,f178]) ).

fof(f5148,plain,
    ( spl0_252
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f310,f282,f177,f5146]) ).

fof(f5146,plain,
    ( spl0_252
  <=> ! [X17,X13,X14,X16,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),X14,tc_Message_Omsg) = X13
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg)
        | c_lessequals(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f310,plain,
    ( ! [X16,X14,X17,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,X14,tc_Message_Omsg),X14,tc_Message_Omsg) = X13
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg),c_Message_Osynth(X14),tc_Message_Omsg)
        | c_lessequals(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,c_Message_Osynth(c_insert(X13,X14,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X17,tc_Message_Omsg) = X16 )
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(resolution,[],[f283,f178]) ).

fof(f5126,plain,
    ( spl0_251
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f608,f585,f400,f5124]) ).

fof(f5124,plain,
    ( spl0_251
  <=> ! [X48,X51,X50,X49,X46,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X46
        | c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X48,X51,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f608,plain,
    ( ! [X50,X51,X48,X46,X49,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X46
        | c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X48,X51,tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f598]) ).

fof(f598,plain,
    ( ! [X50,X51,X48,X46,X49,X47] :
        ( c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X46
        | c_Main_OsubsetI__1(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X47
        | c_lessequals(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X48,X51,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X46,c_insert(X47,c_Message_Osynth(c_Message_Osynth(X48)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f401]) ).

fof(f5122,plain,
    ( spl0_250
    | ~ spl0_47
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f607,f585,f404,f5120]) ).

fof(f5120,plain,
    ( spl0_250
  <=> ! [X55,X57,X53,X54,X56,X52] :
        ( c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X52
        | c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X54,X57,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f607,plain,
    ( ! [X56,X54,X57,X55,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X52
        | c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X54,X57,tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f599]) ).

fof(f599,plain,
    ( ! [X56,X54,X57,X55,X52,X53] :
        ( c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X52
        | c_Main_OsubsetI__1(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X54,X57,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X52,c_insert(X53,c_Message_Osynth(c_Message_Osynth(X54)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X55,c_Message_Osynth(c_insert(X56,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f405]) ).

fof(f5118,plain,
    ( spl0_249
    | ~ spl0_49
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f606,f585,f412,f5116]) ).

fof(f5116,plain,
    ( spl0_249
  <=> ! [X61,X58,X63,X59,X62,X60] :
        ( c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X59
        | c_lessequals(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X60,X63,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f606,plain,
    ( ! [X58,X59,X62,X63,X60,X61] :
        ( c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X59
        | c_lessequals(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X60,X63,tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f600]) ).

fof(f600,plain,
    ( ! [X58,X59,X62,X63,X60,X61] :
        ( c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_Main_OsubsetI__1(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X59
        | c_lessequals(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X60,X63,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X58,c_insert(X59,c_Message_Osynth(c_Message_Osynth(X60)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X61,c_insert(X62,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X63))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f413]) ).

fof(f4982,plain,
    ( spl0_248
    | ~ spl0_6
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1880,f1653,f32,f4980]) ).

fof(f4980,plain,
    ( spl0_248
  <=> ! [X16,X17,X15] : c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f1880,plain,
    ( ! [X16,X17,X15] : c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1856]) ).

fof(f1856,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_135 ),
    inference(resolution,[],[f1654,f33]) ).

fof(f4978,plain,
    ( spl0_247
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f657,f620,f245,f4976]) ).

fof(f4976,plain,
    ( spl0_247
  <=> ! [X13,X14,X16,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X13
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f657,plain,
    ( ! [X16,X14,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X13
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X15 )
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f626]) ).

fof(f626,plain,
    ( ! [X16,X14,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X13
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X13,c_insert(X14,c_insert(X15,X16,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X16))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f246]) ).

fof(f4974,plain,
    ( spl0_246
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f656,f620,f79,f4972]) ).

fof(f4972,plain,
    ( spl0_246
  <=> ! [X17,X18,X19,X20,X21,X22] :
        ( c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X17
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X18
        | c_lessequals(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),tc_set(X21))
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f656,plain,
    ( ! [X21,X18,X19,X17,X22,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X17
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X18
        | c_lessequals(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),tc_set(X21))
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X19 )
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f627]) ).

fof(f627,plain,
    ( ! [X21,X18,X19,X17,X22,X20] :
        ( c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X17
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X18
        | c_lessequals(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),tc_set(X21))
        | c_Main_OsubsetI__1(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),X21) = X19
        | c_lessequals(c_insert(X17,c_insert(X18,c_insert(X19,X20,X21),X21),X21),c_insert(X22,X20,X21),tc_set(X21)) )
    | ~ spl0_14
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f80]) ).

fof(f4970,plain,
    ( spl0_245
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f315,f286,f177,f4968]) ).

fof(f4968,plain,
    ( spl0_245
  <=> ! [X13,X14,X12,X16,X15] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg) = X12
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg) = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f315,plain,
    ( ! [X16,X14,X15,X12,X13] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X14,X15,tc_Message_Omsg),c_Message_Osynth(X15),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg) = X12
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X16,tc_Message_Omsg) = X13 )
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(resolution,[],[f287,f178]) ).

fof(f4960,plain,
    ( spl0_244
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f605,f585,f167,f4958]) ).

fof(f4958,plain,
    ( spl0_244
  <=> ! [X66,X65,X64,X69,X67,X68] :
        ( c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X64
        | c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X66,X69,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f605,plain,
    ( ! [X65,X68,X69,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X64
        | c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X66,X69,tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f601]) ).

fof(f601,plain,
    ( ! [X65,X68,X69,X66,X67,X64] :
        ( c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X64
        | c_Main_OsubsetI__1(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X65
        | c_lessequals(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X66,X69,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X64,c_insert(X65,c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X67,c_insert(X68,c_Message_Osynth(c_Message_Osynth(X69)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f168]) ).

fof(f4818,plain,
    ( spl0_243
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f265,f258,f177,f4816]) ).

fof(f4816,plain,
    ( spl0_243
  <=> ! [X18,X19,X20,X16,X17,X21] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20),X19,X20)
        | c_Main_OsubsetI__1(c_insert(X18,X19,X20),X19,X20) = X18
        | c_lessequals(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,tc_set(X20))
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20) = X16
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20) = X17 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f265,plain,
    ( ! [X21,X18,X19,X16,X17,X20] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20),X19,X20)
        | c_Main_OsubsetI__1(c_insert(X18,X19,X20),X19,X20) = X18
        | c_lessequals(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,tc_set(X20))
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20) = X16
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_insert(X18,X19,X20),X20),X20),X21,X20) = X17 )
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(resolution,[],[f259,f178]) ).

fof(f4717,plain,
    ( spl0_242
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f603,f585,f120,f4715]) ).

fof(f4715,plain,
    ( spl0_242
  <=> ! [X81,X77,X78,X80,X82,X79] :
        ( c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg) = X77
        | c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg) = X78
        | c_lessequals(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X79,X81,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X82)),tc_Message_Omsg)
        | ~ c_lessequals(X81,X82,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f603,plain,
    ( ! [X82,X80,X78,X81,X79,X77] :
        ( c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg) = X77
        | c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg) = X78
        | c_lessequals(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X79,X81,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_insert(X77,c_insert(X78,c_Message_Osynth(c_Message_Osynth(X79)),tc_Message_Omsg),tc_Message_Omsg),X80,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X82)),tc_Message_Omsg)
        | ~ c_lessequals(X81,X82,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f121]) ).

fof(f4708,plain,
    ( spl0_241
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1849,f1645,f32,f4706]) ).

fof(f4706,plain,
    ( spl0_241
  <=> ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1849,plain,
    ( ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1825,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_insert(X17,c_Message_Osynth(X15),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(resolution,[],[f1646,f33]) ).

fof(f4689,plain,
    ( spl0_240
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f658,f620,f106,f4687]) ).

fof(f4687,plain,
    ( spl0_240
  <=> ! [X10,X11,X12,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f658,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X11 )
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f625]) ).

fof(f625,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X10
        | c_lessequals(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X9,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X12)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f107]) ).

fof(f4685,plain,
    ( spl0_239
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f613,f585,f290,f4683]) ).

fof(f4683,plain,
    ( spl0_239
  <=> ! [X24,X21,X22,X23,X25] :
        ( c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X21
        | c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X23,X25,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f613,plain,
    ( ! [X21,X24,X22,X25,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X21
        | c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X23,X25,tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f593]) ).

fof(f593,plain,
    ( ! [X21,X24,X22,X25,X23] :
        ( c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X21
        | c_Main_OsubsetI__1(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X23,X25,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X21,c_insert(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X24,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f291]) ).

fof(f4681,plain,
    ( spl0_238
    | ~ spl0_37
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f612,f585,f278,f4679]) ).

fof(f4679,plain,
    ( spl0_238
  <=> ! [X26,X29,X27,X28,X30] :
        ( c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X26
        | c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X28,X30,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f612,plain,
    ( ! [X28,X29,X26,X27,X30] :
        ( c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X26
        | c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X28,X30,tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f594]) ).

fof(f594,plain,
    ( ! [X28,X29,X26,X27,X30] :
        ( c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X26
        | c_Main_OsubsetI__1(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_Message_Omsg) = X27
        | c_lessequals(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X28,X30,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X29,c_Message_Osynth(c_Message_Osynth(X30)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f279]) ).

fof(f4677,plain,
    ( spl0_237
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f610,f585,f294,f4675]) ).

fof(f4675,plain,
    ( spl0_237
  <=> ! [X38,X40,X36,X39,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X36
        | c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X38,X40,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f610,plain,
    ( ! [X40,X38,X39,X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X36
        | c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X38,X40,tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f596]) ).

fof(f596,plain,
    ( ! [X40,X38,X39,X36,X37] :
        ( c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X36
        | c_Main_OsubsetI__1(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_Message_Omsg) = X37
        | c_lessequals(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X38,X40,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X36,c_insert(X37,c_Message_Osynth(c_Message_Osynth(X38)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X39,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X40)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f295]) ).

fof(f4663,plain,
    ( spl0_236
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f614,f585,f139,f4661]) ).

fof(f4661,plain,
    ( spl0_236
  <=> ! [X18,X20,X16,X17,X19] :
        ( c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X16
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X17
        | c_lessequals(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X20,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f614,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X16
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X17
        | c_lessequals(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X20,tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f592]) ).

fof(f592,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X16
        | c_Main_OsubsetI__1(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_Message_Omsg) = X17
        | c_lessequals(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X20,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(X18)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f140]) ).

fof(f4659,plain,
    ( spl0_235
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1745,f1629,f32,f4657]) ).

fof(f4657,plain,
    ( spl0_235
  <=> ! [X16,X17,X15] : c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f1745,plain,
    ( ! [X16,X17,X15] : c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f1721]) ).

fof(f1721,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X15,c_insert(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f1630,f33]) ).

fof(f4655,plain,
    ( spl0_234
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f611,f585,f143,f4653]) ).

fof(f4653,plain,
    ( spl0_234
  <=> ! [X35,X34,X31,X33,X32] :
        ( c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X31
        | c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X32
        | c_lessequals(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X33,X35,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f611,plain,
    ( ! [X31,X34,X35,X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X31
        | c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X32
        | c_lessequals(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X33,X35,tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f595]) ).

fof(f595,plain,
    ( ! [X31,X34,X35,X32,X33] :
        ( c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X31
        | c_Main_OsubsetI__1(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_Message_Omsg) = X32
        | c_lessequals(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X33,X35,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X31,c_insert(X32,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X34,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X35))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f144]) ).

fof(f4646,plain,
    ( spl0_233
    | ~ spl0_11
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f659,f620,f61,f4644]) ).

fof(f4644,plain,
    ( spl0_233
  <=> ! [X5,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f659,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X7 )
    | ~ spl0_11
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f624]) ).

fof(f624,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X5,c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X8),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f62]) ).

fof(f4637,plain,
    ( spl0_232
    | ~ spl0_26
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f489,f477,f177,f4635]) ).

fof(f4635,plain,
    ( spl0_232
  <=> ! [X17,X11,X13,X14,X12,X16,X15] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),tc_set(X14))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f489,plain,
    ( ! [X11,X16,X14,X17,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),tc_set(X14))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X12 )
    | ~ spl0_26
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f482]) ).

fof(f482,plain,
    ( ! [X11,X16,X14,X17,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),tc_set(X14))
        | c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),tc_set(X14))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),c_insert(X15,c_insert(X16,c_insert(X17,X13,X14),X14),X14),X14) = X12 )
    | ~ spl0_26
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f178]) ).

fof(f4623,plain,
    ( spl0_231
    | ~ spl0_33
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f616,f585,f245,f4621]) ).

fof(f4621,plain,
    ( spl0_231
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f616,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f590]) ).

fof(f590,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_Message_Omsg) = X9
        | c_lessequals(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X10,X11,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X8,c_insert(X9,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X11))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f246]) ).

fof(f4619,plain,
    ( spl0_230
    | ~ spl0_14
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f609,f585,f79,f4617]) ).

fof(f4617,plain,
    ( spl0_230
  <=> ! [X41,X43,X42,X44,X45] :
        ( c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X42
        | c_lessequals(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X43,X45,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f609,plain,
    ( ! [X41,X44,X45,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X42
        | c_lessequals(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X43,X45,tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f597]) ).

fof(f597,plain,
    ( ! [X41,X44,X45,X42,X43] :
        ( c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X41
        | c_Main_OsubsetI__1(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_Message_Omsg) = X42
        | c_lessequals(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X43,X45,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X41,c_insert(X42,c_Message_Osynth(c_Message_Osynth(X43)),tc_Message_Omsg),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_Message_Osynth(X45)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f80]) ).

fof(f4610,plain,
    ( spl0_229
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1714,f1625,f32,f4608]) ).

fof(f4608,plain,
    ( spl0_229
  <=> ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f1714,plain,
    ( ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(duplicate_literal_removal,[],[f1690]) ).

fof(f1690,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X15,c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(resolution,[],[f1626,f33]) ).

fof(f4588,plain,
    ( spl0_228
    | ~ spl0_7
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f660,f620,f36,f4586]) ).

fof(f4586,plain,
    ( spl0_228
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,tc_set(X4))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f660,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,tc_set(X4))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X2 )
    | ~ spl0_7
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,tc_set(X4))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,X4) = X2
        | c_lessequals(c_insert(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4),X3,tc_set(X4)) )
    | ~ spl0_7
    | ~ spl0_65 ),
    inference(resolution,[],[f621,f37]) ).

fof(f4584,plain,
    ( spl0_227
    | ~ spl0_32
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f578,f574,f230,f4582]) ).

fof(f4582,plain,
    ( spl0_227
  <=> ! [X10,X11,X12,X9,X8,X7] :
        ( c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f574,plain,
    ( spl0_62
  <=> ! [X28,X24,X23,X27,X25,X26] :
        ( c_lessequals(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),tc_set(X26))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X24 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f578,plain,
    ( ! [X10,X11,X8,X9,X7,X12] :
        ( c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X9,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X12,c_Message_Osynth(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_62 ),
    inference(resolution,[],[f575,f231]) ).

fof(f575,plain,
    ( ! [X28,X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),tc_set(X26))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X24 )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f4557,plain,
    ( spl0_226
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f617,f585,f106,f4555]) ).

fof(f4555,plain,
    ( spl0_226
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f617,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f589]) ).

fof(f589,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X4,c_insert(X5,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f107]) ).

fof(f4553,plain,
    ( spl0_225
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f579,f574,f69,f4551]) ).

fof(f4551,plain,
    ( spl0_225
  <=> ! [X17,X18,X13,X14,X16,X15] :
        ( c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X13
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X14
        | ~ c_in(X18,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X18,c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f579,plain,
    ( ! [X18,X16,X14,X17,X15,X13] :
        ( c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X13
        | c_Main_OsubsetI__1(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg),c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X14
        | ~ c_in(X18,c_Message_Osynth(c_insert(X13,c_insert(X14,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X18,c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(resolution,[],[f575,f70]) ).

fof(f4526,plain,
    ( spl0_224
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1683,f1621,f32,f4524]) ).

fof(f4524,plain,
    ( spl0_224
  <=> ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f1683,plain,
    ( ! [X16,X17,X15] : c_lessequals(X15,c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(duplicate_literal_removal,[],[f1659]) ).

fof(f1659,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(X15,c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(X15,c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_insert(X17,X15,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f1622,f33]) ).

fof(f4517,plain,
    ( spl0_223
    | ~ spl0_8
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f577,f574,f44,f4515]) ).

fof(f4515,plain,
    ( spl0_223
  <=> ! [X3,X4,X0,X6,X5,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,c_insert(X5,X2,X3),X3),X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,c_insert(X5,X2,X3),X3),X3) = X1
        | c_in(X6,c_insert(X4,c_insert(X5,X2,X3),X3),X3)
        | ~ c_in(X6,c_insert(X0,c_insert(X1,X2,X3),X3),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f577,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,c_insert(X5,X2,X3),X3),X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,c_insert(X5,X2,X3),X3),X3) = X1
        | c_in(X6,c_insert(X4,c_insert(X5,X2,X3),X3),X3)
        | ~ c_in(X6,c_insert(X0,c_insert(X1,X2,X3),X3),X3) )
    | ~ spl0_8
    | ~ spl0_62 ),
    inference(resolution,[],[f575,f45]) ).

fof(f4513,plain,
    ( spl0_222
    | ~ spl0_26
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f452,f412,f177,f4511]) ).

fof(f4511,plain,
    ( spl0_222
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f452,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f447]) ).

fof(f447,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_insert(X15,c_Message_Osynth(X13),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f178]) ).

fof(f4509,plain,
    ( spl0_221
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f435,f404,f177,f4507]) ).

fof(f4507,plain,
    ( spl0_221
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f435,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f430]) ).

fof(f430,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,c_Message_Osynth(c_insert(X15,X13,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f178]) ).

fof(f4505,plain,
    ( spl0_220
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f423,f400,f177,f4503]) ).

fof(f4503,plain,
    ( spl0_220
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f423,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f418]) ).

fof(f418,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X14,c_insert(X15,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X12 )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f178]) ).

fof(f4380,plain,
    ( spl0_219
    | ~ spl0_11
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f618,f585,f61,f4378]) ).

fof(f4378,plain,
    ( spl0_219
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f618,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f588]) ).

fof(f588,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f62]) ).

fof(f4376,plain,
    ( spl0_218
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f463,f457,f87,f4374]) ).

fof(f4374,plain,
    ( spl0_218
  <=> ! [X13,X14,X12,X16,X15] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X12
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,X13,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f463,plain,
    ( ! [X16,X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,X13,tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X12
        | c_in(c_Main_OsubsetI__1(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_Message_Omsg),c_Message_Osynth(c_insert(X14,X13,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_Message_Omsg) = X15
        | c_lessequals(c_insert(X15,c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg)),tc_Message_Omsg),X16,tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(resolution,[],[f458,f88]) ).

fof(f4355,plain,
    ( spl0_217
    | ~ spl0_6
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1516,f1439,f32,f4353]) ).

fof(f4353,plain,
    ( spl0_217
  <=> ! [X13,X12] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f1516,plain,
    ( ! [X12,X13] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_118 ),
    inference(duplicate_literal_removal,[],[f1498]) ).

fof(f1498,plain,
    ( ! [X12,X13] :
        ( c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_118 ),
    inference(resolution,[],[f1440,f33]) ).

fof(f4334,plain,
    ( spl0_216
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f570,f564,f230,f4332]) ).

fof(f4332,plain,
    ( spl0_216
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = X1
        | c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f564,plain,
    ( spl0_61
  <=> ! [X18,X17,X16,X15] :
        ( c_lessequals(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f570,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = X1
        | c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X3,X2,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(resolution,[],[f565,f231]) ).

fof(f565,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X16 )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f4330,plain,
    ( spl0_215
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f567,f560,f230,f4328]) ).

fof(f4328,plain,
    ( spl0_215
  <=> ! [X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) = X1
        | c_in(X4,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f560,plain,
    ( spl0_60
  <=> ! [X19,X20,X21,X22] :
        ( c_lessequals(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X19
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f567,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg),tc_Message_Omsg) = X1
        | c_in(X4,c_Message_Osynth(c_Message_Osynth(c_insert(X3,c_Message_Osynth(X2),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(resolution,[],[f561,f231]) ).

fof(f561,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X19
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X20 )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f4287,plain,
    ( spl0_214
    | ~ spl0_7
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f615,f585,f36,f4285]) ).

fof(f4285,plain,
    ( spl0_214
  <=> ! [X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X12
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f615,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X12
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f591]) ).

fof(f591,plain,
    ( ! [X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X12
        | c_Main_OsubsetI__1(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg) = X13
        | c_lessequals(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(X14)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X15)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_64 ),
    inference(resolution,[],[f586,f37]) ).

fof(f4283,plain,
    ( spl0_213
    | ~ spl0_12
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f571,f564,f69,f4281]) ).

fof(f4281,plain,
    ( spl0_213
  <=> ! [X5,X9,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)),tc_Message_Omsg) = X6
        | ~ c_in(X9,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f571,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg)),tc_Message_Omsg) = X6
        | ~ c_in(X9,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_61 ),
    inference(resolution,[],[f565,f70]) ).

fof(f4279,plain,
    ( spl0_212
    | ~ spl0_12
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f568,f560,f69,f4277]) ).

fof(f4277,plain,
    ( spl0_212
  <=> ! [X5,X9,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg),tc_Message_Omsg) = X6
        | ~ c_in(X9,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X9,c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f568,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg),tc_Message_Omsg) = X6
        | ~ c_in(X9,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X9,c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_60 ),
    inference(resolution,[],[f561,f70]) ).

fof(f4198,plain,
    ( spl0_211
    | ~ spl0_6
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1491,f1435,f32,f4196]) ).

fof(f4196,plain,
    ( spl0_211
  <=> ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f1491,plain,
    ( ! [X16,X17,X15] : c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_117 ),
    inference(duplicate_literal_removal,[],[f1473]) ).

fof(f1473,plain,
    ( ! [X16,X17,X15] :
        ( c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X15),c_insert(X16,c_Message_Osynth(c_insert(X17,X15,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_117 ),
    inference(resolution,[],[f1436,f33]) ).

fof(f4102,plain,
    ( spl0_210
    | ~ spl0_15
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f442,f408,f87,f4100]) ).

fof(f4100,plain,
    ( spl0_210
  <=> ! [X15,X18,X17,X14,X16,X19] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X14,c_insert(X15,X16,X17),X17),X18,X17),c_insert(X19,X16,X17),X17)
        | c_Main_OsubsetI__1(c_insert(X15,X16,X17),c_insert(X19,X16,X17),X17) = X15
        | c_Main_OsubsetI__1(c_insert(X14,c_insert(X15,X16,X17),X17),X18,X17) = X14
        | c_lessequals(c_insert(X14,c_insert(X15,X16,X17),X17),X18,tc_set(X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f442,plain,
    ( ! [X18,X19,X16,X14,X17,X15] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X14,c_insert(X15,X16,X17),X17),X18,X17),c_insert(X19,X16,X17),X17)
        | c_Main_OsubsetI__1(c_insert(X15,X16,X17),c_insert(X19,X16,X17),X17) = X15
        | c_Main_OsubsetI__1(c_insert(X14,c_insert(X15,X16,X17),X17),X18,X17) = X14
        | c_lessequals(c_insert(X14,c_insert(X15,X16,X17),X17),X18,tc_set(X17)) )
    | ~ spl0_15
    | ~ spl0_48 ),
    inference(resolution,[],[f409,f88]) ).

fof(f4098,plain,
    ( spl0_209
    | ~ spl0_15
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f371,f365,f87,f4096]) ).

fof(f4096,plain,
    ( spl0_209
  <=> ! [X10,X11,X12,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_in(c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f371,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_in(c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_43 ),
    inference(resolution,[],[f366,f88]) ).

fof(f4038,plain,
    ( spl0_208
    | ~ spl0_8
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f572,f564,f44,f4036]) ).

fof(f4036,plain,
    ( spl0_208
  <=> ! [X10,X11,X13,X14,X12] :
        ( c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg) = X11
        | c_in(X14,c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X14,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f572,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg) = X11
        | c_in(X14,c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X14,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_61 ),
    inference(resolution,[],[f565,f45]) ).

fof(f3993,plain,
    ( spl0_207
    | ~ spl0_8
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f569,f560,f44,f3991]) ).

fof(f3991,plain,
    ( spl0_207
  <=> ! [X10,X11,X13,X14,X12] :
        ( c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_in(X14,c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X14,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f569,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_in(X14,c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X14,c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_60 ),
    inference(resolution,[],[f561,f45]) ).

fof(f3989,plain,
    ( spl0_206
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f557,f553,f230,f3987]) ).

fof(f3987,plain,
    ( spl0_206
  <=> ! [X10,X9,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X6
        | c_Main_OsubsetI__1(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f553,plain,
    ( spl0_59
  <=> ! [X10,X11,X13,X14,X12] :
        ( c_lessequals(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),tc_set(X13))
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f557,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X6
        | c_Main_OsubsetI__1(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg),c_insert(X9,X8,tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X9,X8,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(resolution,[],[f554,f231]) ).

fof(f554,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( c_lessequals(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),tc_set(X13))
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X11 )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f3985,plain,
    ( spl0_205
    | ~ spl0_26
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f334,f294,f177,f3983]) ).

fof(f3983,plain,
    ( spl0_205
  <=> ! [X5,X7,X6,X8] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f334,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f330,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_insert(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f178]) ).

fof(f3981,plain,
    ( spl0_204
    | ~ spl0_26
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f325,f290,f177,f3979]) ).

fof(f3979,plain,
    ( spl0_204
  <=> ! [X5,X7,X6,X8] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f325,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f321,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X8,c_Message_Osynth(X7),tc_Message_Omsg)),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f178]) ).

fof(f3977,plain,
    ( spl0_203
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f303,f278,f177,f3975]) ).

fof(f3975,plain,
    ( spl0_203
  <=> ! [X5,X7,X6,X8] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f303,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X8,X7,tc_Message_Omsg))),tc_Message_Omsg) = X6 )
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f178]) ).

fof(f3844,plain,
    ( spl0_202
    | ~ spl0_12
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f558,f553,f69,f3842]) ).

fof(f3842,plain,
    ( spl0_202
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X12
        | ~ c_in(X15,c_Message_Osynth(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X15,c_Message_Osynth(c_insert(X14,X13,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f558,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X11
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg),c_insert(X14,X13,tc_Message_Omsg),tc_Message_Omsg) = X12
        | ~ c_in(X15,c_Message_Osynth(c_insert(X11,c_insert(X12,X13,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X15,c_Message_Osynth(c_insert(X14,X13,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_59 ),
    inference(resolution,[],[f554,f70]) ).

fof(f3840,plain,
    ( spl0_201
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f309,f282,f87,f3838]) ).

fof(f3838,plain,
    ( spl0_201
  <=> ! [X10,X11,X12,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_in(c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f309,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),X10,tc_Message_Omsg) = X9
        | c_in(c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_insert(X9,X10,tc_Message_Omsg)),tc_Message_Omsg),X12,tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(resolution,[],[f283,f88]) ).

fof(f3772,plain,
    ( spl0_200
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f526,f507,f477,f3770]) ).

fof(f3770,plain,
    ( spl0_200
  <=> ! [X61,X57,X56,X59,X58,X60] :
        ( ~ c_lessequals(X56,X57,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f507,plain,
    ( spl0_56
  <=> ! [X9,X7,X6,X8] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)
        | ~ c_lessequals(X7,X9,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f526,plain,
    ( ! [X58,X59,X56,X57,X60,X61] :
        ( ~ c_lessequals(X56,X57,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f524]) ).

fof(f524,plain,
    ( ! [X58,X59,X56,X57,X60,X61] :
        ( ~ c_lessequals(X56,X57,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X58
        | c_lessequals(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X58,c_Message_Osynth(c_Message_Osynth(X56)),tc_Message_Omsg),c_insert(X59,c_insert(X60,c_insert(X61,c_Message_Osynth(c_Message_Osynth(X57)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f478]) ).

fof(f508,plain,
    ( ! [X8,X6,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)
        | ~ c_lessequals(X7,X9,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f3629,plain,
    ( spl0_199
    | ~ spl0_8
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f556,f553,f44,f3627]) ).

fof(f3627,plain,
    ( spl0_199
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,X2,X3),X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,X2,X3),X3) = X1
        | c_in(X5,c_insert(X4,X2,X3),X3)
        | ~ c_in(X5,c_insert(X0,c_insert(X1,X2,X3),X3),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f556,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,X2,X3),X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),c_insert(X4,X2,X3),X3) = X1
        | c_in(X5,c_insert(X4,X2,X3),X3)
        | ~ c_in(X5,c_insert(X0,c_insert(X1,X2,X3),X3),X3) )
    | ~ spl0_8
    | ~ spl0_59 ),
    inference(resolution,[],[f554,f45]) ).

fof(f3625,plain,
    ( spl0_198
    | ~ spl0_32
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f549,f546,f230,f3623]) ).

fof(f3623,plain,
    ( spl0_198
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f546,plain,
    ( spl0_58
  <=> ! [X9,X8,X7] :
        ( c_lessequals(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f549,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2)))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_58 ),
    inference(resolution,[],[f547,f231]) ).

fof(f547,plain,
    ( ! [X8,X9,X7] :
        ( c_lessequals(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X8 )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f3621,plain,
    ( spl0_197
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f314,f286,f87,f3619]) ).

fof(f3619,plain,
    ( spl0_197
  <=> ! [X10,X11,X9,X8] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f314,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X9,X10,tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),X11,tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(resolution,[],[f287,f88]) ).

fof(f3602,plain,
    ( spl0_196
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f550,f546,f69,f3600]) ).

fof(f3600,plain,
    ( spl0_196
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X5
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f550,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) = X5
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X6))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(resolution,[],[f547,f70]) ).

fof(f3351,plain,
    ( spl0_195
    | ~ spl0_19
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f525,f507,f120,f3349]) ).

fof(f3349,plain,
    ( spl0_195
  <=> ! [X66,X62,X64,X63,X65] :
        ( ~ c_lessequals(X62,X63,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_Message_Omsg) = X64
        | c_lessequals(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg)
        | ~ c_lessequals(X63,X66,tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f525,plain,
    ( ! [X65,X62,X63,X66,X64] :
        ( ~ c_lessequals(X62,X63,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_Message_Omsg) = X64
        | c_lessequals(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_insert(X64,c_Message_Osynth(c_Message_Osynth(X62)),tc_Message_Omsg),X65,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X66)),tc_Message_Omsg)
        | ~ c_lessequals(X63,X66,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f121]) ).

fof(f3347,plain,
    ( spl0_194
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f264,f258,f87,f3345]) ).

fof(f3345,plain,
    ( spl0_194
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),X15,X14),X13,X14)
        | c_Main_OsubsetI__1(c_insert(X12,X13,X14),X13,X14) = X12
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),X15,X14) = X11
        | c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),X15,tc_set(X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f264,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),X15,X14),X13,X14)
        | c_Main_OsubsetI__1(c_insert(X12,X13,X14),X13,X14) = X12
        | c_Main_OsubsetI__1(c_insert(X11,c_insert(X12,X13,X14),X14),X15,X14) = X11
        | c_lessequals(c_insert(X11,c_insert(X12,X13,X14),X14),X15,tc_set(X14)) )
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(resolution,[],[f259,f88]) ).

fof(f3302,plain,
    ( spl0_193
    | ~ spl0_8
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f551,f546,f44,f3300]) ).

fof(f3300,plain,
    ( spl0_193
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X9
        | c_in(X11,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f551,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X9
        | c_in(X11,c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_58 ),
    inference(resolution,[],[f547,f45]) ).

fof(f3251,plain,
    ( spl0_192
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f530,f507,f400,f3249]) ).

fof(f3249,plain,
    ( spl0_192
  <=> ! [X38,X40,X36,X39,X37] :
        ( ~ c_lessequals(X36,X37,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X38
        | c_lessequals(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f530,plain,
    ( ! [X40,X38,X39,X36,X37] :
        ( ~ c_lessequals(X36,X37,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X38
        | c_lessequals(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f520]) ).

fof(f520,plain,
    ( ! [X40,X38,X39,X36,X37] :
        ( ~ c_lessequals(X36,X37,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X38
        | c_lessequals(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X38,c_Message_Osynth(c_Message_Osynth(X36)),tc_Message_Omsg),c_Message_Osynth(c_insert(X39,c_insert(X40,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f401]) ).

fof(f3247,plain,
    ( spl0_191
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f529,f507,f404,f3245]) ).

fof(f3245,plain,
    ( spl0_191
  <=> ! [X41,X43,X42,X44,X45] :
        ( ~ c_lessequals(X41,X42,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f529,plain,
    ( ! [X41,X44,X45,X42,X43] :
        ( ~ c_lessequals(X41,X42,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f521]) ).

fof(f521,plain,
    ( ! [X41,X44,X45,X42,X43] :
        ( ~ c_lessequals(X41,X42,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X43
        | c_lessequals(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X43,c_Message_Osynth(c_Message_Osynth(X41)),tc_Message_Omsg),c_insert(X44,c_Message_Osynth(c_insert(X45,c_Message_Osynth(c_Message_Osynth(X42)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f405]) ).

fof(f3243,plain,
    ( spl0_190
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f528,f507,f412,f3241]) ).

fof(f3241,plain,
    ( spl0_190
  <=> ! [X48,X47,X50,X49,X46] :
        ( ~ c_lessequals(X46,X47,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X48
        | c_lessequals(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f528,plain,
    ( ! [X50,X48,X46,X49,X47] :
        ( ~ c_lessequals(X46,X47,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X48
        | c_lessequals(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f522]) ).

fof(f522,plain,
    ( ! [X50,X48,X46,X49,X47] :
        ( ~ c_lessequals(X46,X47,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X48
        | c_lessequals(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X48,c_Message_Osynth(c_Message_Osynth(X46)),tc_Message_Omsg),c_insert(X49,c_insert(X50,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X47))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f413]) ).

fof(f3239,plain,
    ( spl0_189
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f503,f500,f230,f3237]) ).

fof(f3237,plain,
    ( spl0_189
  <=> ! [X0,X3,X2,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg) = X1
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f500,plain,
    ( spl0_55
  <=> ! [X6,X4,X5] :
        ( c_lessequals(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f503,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg) = X1
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(resolution,[],[f501,f231]) ).

fof(f501,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5 )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3235,plain,
    ( spl0_188
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f254,f245,f177,f3233]) ).

fof(f3233,plain,
    ( spl0_188
  <=> ! [X4,X5,X3] :
        ( c_lessequals(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X3
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f254,plain,
    ( ! [X3,X4,X5] :
        ( c_lessequals(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X3
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X4 )
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f250]) ).

fof(f250,plain,
    ( ! [X3,X4,X5] :
        ( c_lessequals(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X3
        | c_Main_OsubsetI__1(c_insert(X3,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg) = X4 )
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f178]) ).

fof(f3217,plain,
    ( spl0_187
    | ~ spl0_12
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f504,f500,f69,f3215]) ).

fof(f3215,plain,
    ( spl0_187
  <=> ! [X5,X4,X7,X6] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f504,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_55 ),
    inference(resolution,[],[f501,f70]) ).

fof(f3209,plain,
    ( spl0_186
    | ~ spl0_25
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f527,f507,f167,f3207]) ).

fof(f3207,plain,
    ( spl0_186
  <=> ! [X55,X51,X53,X54,X52] :
        ( ~ c_lessequals(X51,X52,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f527,plain,
    ( ! [X51,X54,X55,X52,X53] :
        ( ~ c_lessequals(X51,X52,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f523]) ).

fof(f523,plain,
    ( ! [X51,X54,X55,X52,X53] :
        ( ~ c_lessequals(X51,X52,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X53
        | c_lessequals(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X53,c_Message_Osynth(c_Message_Osynth(X51)),tc_Message_Omsg),c_insert(X54,c_insert(X55,c_Message_Osynth(c_Message_Osynth(X52)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f168]) ).

fof(f3194,plain,
    ( spl0_185
    | ~ spl0_8
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1149,f1080,f44,f3192]) ).

fof(f3192,plain,
    ( spl0_185
  <=> ! [X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5)))),tc_Message_Omsg)
        | ~ c_in(X4,X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1149,plain,
    ( ! [X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5)))),tc_Message_Omsg)
        | ~ c_in(X4,X5,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_97 ),
    inference(resolution,[],[f1081,f45]) ).

fof(f3176,plain,
    ( spl0_184
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f505,f500,f44,f3174]) ).

fof(f3174,plain,
    ( spl0_184
  <=> ! [X10,X11,X9,X8] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_in(X11,c_Message_Osynth(X10),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f505,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X8
        | c_Main_OsubsetI__1(c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X10),tc_Message_Omsg) = X9
        | c_in(X11,c_Message_Osynth(X10),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,c_insert(X9,X10,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(resolution,[],[f501,f45]) ).

fof(f3172,plain,
    ( spl0_183
    | ~ spl0_32
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f497,f493,f230,f3170]) ).

fof(f3170,plain,
    ( spl0_183
  <=> ! [X5,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),X7,tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X0,X3,X2,X1] :
        ( c_lessequals(c_insert(X0,c_insert(X1,X2,X3),X3),X2,tc_set(X3))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f497,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),X7,tc_Message_Omsg) = X5
        | c_Main_OsubsetI__1(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | ~ c_in(X8,c_Message_Osynth(c_insert(X5,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_54 ),
    inference(resolution,[],[f494,f231]) ).

fof(f494,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_insert(X0,c_insert(X1,X2,X3),X3),X2,tc_set(X3))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1 )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f3142,plain,
    ( spl0_182
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f535,f507,f290,f3140]) ).

fof(f3140,plain,
    ( spl0_182
  <=> ! [X18,X17,X16,X19] :
        ( ~ c_lessequals(X16,X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f535,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_lessequals(X16,X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f515,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ c_lessequals(X16,X17,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_Message_Omsg) = X18
        | c_lessequals(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X18,c_Message_Osynth(c_Message_Osynth(X16)),tc_Message_Omsg),c_Message_Osynth(c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X17))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f291]) ).

fof(f3138,plain,
    ( spl0_181
    | ~ spl0_37
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f534,f507,f278,f3136]) ).

fof(f3136,plain,
    ( spl0_181
  <=> ! [X20,X21,X23,X22] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f534,plain,
    ( ! [X21,X22,X23,X20] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f516]) ).

fof(f516,plain,
    ( ! [X21,X22,X23,X20] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_Message_Omsg) = X22
        | c_lessequals(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X22,c_Message_Osynth(c_Message_Osynth(X20)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X23,c_Message_Osynth(c_Message_Osynth(X21)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f279]) ).

fof(f3134,plain,
    ( spl0_180
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f532,f507,f294,f3132]) ).

fof(f3132,plain,
    ( spl0_180
  <=> ! [X31,X29,X28,X30] :
        ( ~ c_lessequals(X28,X29,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f532,plain,
    ( ! [X31,X28,X29,X30] :
        ( ~ c_lessequals(X28,X29,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f518]) ).

fof(f518,plain,
    ( ! [X31,X28,X29,X30] :
        ( ~ c_lessequals(X28,X29,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_Message_Omsg) = X30
        | c_lessequals(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X30,c_Message_Osynth(c_Message_Osynth(X28)),tc_Message_Omsg),c_insert(X31,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X29)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f295]) ).

fof(f3126,plain,
    ( spl0_179
    | ~ spl0_12
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f498,f493,f69,f3124]) ).

fof(f3124,plain,
    ( spl0_179
  <=> ! [X10,X11,X12,X9] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X10
        | ~ c_in(X12,c_Message_Osynth(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X12,c_Message_Osynth(X11),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f498,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X9
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) = X10
        | ~ c_in(X12,c_Message_Osynth(c_insert(X9,c_insert(X10,X11,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X12,c_Message_Osynth(X11),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_54 ),
    inference(resolution,[],[f494,f70]) ).

fof(f3087,plain,
    ( spl0_178
    | ~ spl0_31
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f486,f477,f219,f3085]) ).

fof(f219,plain,
    ( spl0_31
  <=> ! [X6,X4,X5] :
        ( ~ c_in(X4,c_Message_Osynth(X5),tc_Message_Omsg)
        | c_in(X4,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f486,plain,
    ( ! [X40,X38,X39,X36,X37,X35] :
        ( c_lessequals(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X35,c_insert(X36,c_insert(X37,c_insert(X38,c_Message_Osynth(c_insert(X39,X40,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X40),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f220]) ).

fof(f220,plain,
    ( ! [X6,X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Osynth(X5),tc_Message_Omsg) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f3064,plain,
    ( spl0_177
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f536,f507,f139,f3062]) ).

fof(f3062,plain,
    ( spl0_177
  <=> ! [X13,X14,X12,X15] :
        ( ~ c_lessequals(X12,X13,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f536,plain,
    ( ! [X14,X15,X12,X13] :
        ( ~ c_lessequals(X12,X13,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f514]) ).

fof(f514,plain,
    ( ! [X14,X15,X12,X13] :
        ( ~ c_lessequals(X12,X13,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_Message_Omsg) = X14
        | c_lessequals(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg),c_Message_Osynth(c_insert(X15,c_Message_Osynth(c_Message_Osynth(X13)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f140]) ).

fof(f3060,plain,
    ( spl0_176
    | ~ spl0_23
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f533,f507,f143,f3058]) ).

fof(f3058,plain,
    ( spl0_176
  <=> ! [X24,X27,X25,X26] :
        ( ~ c_lessequals(X24,X25,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f533,plain,
    ( ! [X26,X27,X24,X25] :
        ( ~ c_lessequals(X24,X25,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f517]) ).

fof(f517,plain,
    ( ! [X26,X27,X24,X25] :
        ( ~ c_lessequals(X24,X25,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_Message_Omsg) = X26
        | c_lessequals(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X26,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X25))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f144]) ).

fof(f3056,plain,
    ( spl0_175
    | ~ spl0_8
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f496,f493,f44,f3054]) ).

fof(f496,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_in(X4,X2,X3)
        | ~ c_in(X4,c_insert(X0,c_insert(X1,X2,X3),X3),X3) )
    | ~ spl0_8
    | ~ spl0_54 ),
    inference(resolution,[],[f494,f45]) ).

fof(f3048,plain,
    ( spl0_174
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1406,f1378,f32,f3046]) ).

fof(f3046,plain,
    ( spl0_174
  <=> ! [X13,X12] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1406,plain,
    ( ! [X12,X13] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(duplicate_literal_removal,[],[f1388]) ).

fof(f1388,plain,
    ( ! [X12,X13] :
        ( c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(resolution,[],[f1379,f33]) ).

fof(f2899,plain,
    ( spl0_173
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f538,f507,f245,f2897]) ).

fof(f2897,plain,
    ( spl0_173
  <=> ! [X6,X7,X8] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f538,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f512]) ).

fof(f512,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X8,c_Message_Osynth(c_Message_Osynth(X6)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f246]) ).

fof(f2895,plain,
    ( spl0_172
    | ~ spl0_14
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f531,f507,f79,f2893]) ).

fof(f2893,plain,
    ( spl0_172
  <=> ! [X35,X34,X33,X32] :
        ( ~ c_lessequals(X32,X33,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f531,plain,
    ( ! [X34,X35,X32,X33] :
        ( ~ c_lessequals(X32,X33,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f519]) ).

fof(f519,plain,
    ( ! [X34,X35,X32,X33] :
        ( ~ c_lessequals(X32,X33,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_Message_Omsg) = X34
        | c_lessequals(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X34,c_Message_Osynth(c_Message_Osynth(X32)),tc_Message_Omsg),c_insert(X35,c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f80]) ).

fof(f2891,plain,
    ( spl0_171
    | ~ spl0_4
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f484,f477,f24,f2889]) ).

fof(f24,plain,
    ( spl0_4
  <=> ! [X5,X4,X6,X3] :
        ( ~ c_in(X3,X4,X5)
        | c_in(X3,c_insert(X6,X4,X5),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f484,plain,
    ( ! [X28,X29,X26,X27,X24,X25,X23] :
        ( c_lessequals(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),tc_set(X29))
        | ~ c_in(c_Main_OsubsetI__1(X23,c_insert(X24,c_insert(X25,c_insert(X26,c_insert(X27,X28,X29),X29),X29),X29),X29),X28,X29) )
    | ~ spl0_4
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f25]) ).

fof(f25,plain,
    ( ! [X3,X6,X4,X5] :
        ( c_in(X3,c_insert(X6,X4,X5),X5)
        | ~ c_in(X3,X4,X5) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f2887,plain,
    ( spl0_170
    | ~ spl0_6
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f462,f457,f32,f2885]) ).

fof(f462,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,X9,tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X8,X9,tc_Message_Omsg)),X11,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_50 ),
    inference(resolution,[],[f458,f33]) ).

fof(f2763,plain,
    ( spl0_169
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f490,f477,f87,f2761]) ).

fof(f2761,plain,
    ( spl0_169
  <=> ! [X5,X10,X9,X7,X6,X8] :
        ( c_lessequals(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),tc_set(X7))
        | c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),X7) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f490,plain,
    ( ! [X10,X8,X6,X9,X7,X5] :
        ( c_lessequals(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),tc_set(X7))
        | c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),X7) = X5 )
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f481]) ).

fof(f481,plain,
    ( ! [X10,X8,X6,X9,X7,X5] :
        ( c_lessequals(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),tc_set(X7))
        | c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),X7) = X5
        | c_lessequals(c_insert(X5,X6,X7),c_insert(X8,c_insert(X9,c_insert(X10,X6,X7),X7),X7),tc_set(X7)) )
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f88]) ).

fof(f2759,plain,
    ( spl0_168
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f474,f470,f230,f2757]) ).

fof(f2757,plain,
    ( spl0_168
  <=> ! [X10,X9,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_insert(X8,c_insert(X9,X7,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X6
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_insert(X9,X7,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f470,plain,
    ( spl0_52
  <=> ! [X5,X4,X7,X6,X8] :
        ( c_lessequals(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),tc_set(X6))
        | c_Main_OsubsetI__1(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),X6) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f474,plain,
    ( ! [X10,X8,X6,X9,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_insert(X8,c_insert(X9,X7,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X6
        | c_in(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X8,c_insert(X9,X7,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X10,c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(resolution,[],[f471,f231]) ).

fof(f471,plain,
    ( ! [X8,X6,X7,X4,X5] :
        ( c_lessequals(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),tc_set(X6))
        | c_Main_OsubsetI__1(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),X6) = X4 )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2755,plain,
    ( spl0_167
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f450,f412,f219,f2753]) ).

fof(f450,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( c_lessequals(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_insert(X27,c_Message_Osynth(c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f220]) ).

fof(f2751,plain,
    ( spl0_166
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f433,f404,f219,f2749]) ).

fof(f433,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( c_lessequals(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_insert(X26,c_Message_Osynth(c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f220]) ).

fof(f2747,plain,
    ( spl0_165
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f421,f400,f219,f2745]) ).

fof(f421,plain,
    ( ! [X28,X29,X26,X27,X25] :
        ( c_lessequals(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X25,c_Message_Osynth(c_insert(X26,c_insert(X27,c_Message_Osynth(c_insert(X28,X29,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X29),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f220]) ).

fof(f2726,plain,
    ( spl0_164
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f539,f507,f106,f2724]) ).

fof(f2724,plain,
    ( spl0_164
  <=> ! [X4,X5,X3] :
        ( ~ c_lessequals(X3,X4,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f539,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_lessequals(X3,X4,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f511]) ).

fof(f511,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_lessequals(X3,X4,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X5,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f107]) ).

fof(f2718,plain,
    ( spl0_163
    | ~ spl0_12
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f475,f470,f69,f2716]) ).

fof(f2716,plain,
    ( spl0_163
  <=> ! [X11,X13,X14,X12,X15] :
        ( c_Main_OsubsetI__1(c_insert(X11,X12,tc_Message_Omsg),c_insert(X13,c_insert(X14,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X11
        | ~ c_in(X15,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X15,c_Message_Osynth(c_insert(X13,c_insert(X14,X12,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f475,plain,
    ( ! [X11,X14,X15,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X11,X12,tc_Message_Omsg),c_insert(X13,c_insert(X14,X12,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X11
        | ~ c_in(X15,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X15,c_Message_Osynth(c_insert(X13,c_insert(X14,X12,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_52 ),
    inference(resolution,[],[f471,f70]) ).

fof(f2612,plain,
    ( spl0_162
    | ~ spl0_6
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f441,f408,f32,f2610]) ).

fof(f441,plain,
    ( ! [X10,X11,X9,X12,X13] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X9,X10,X11),X12,X11),c_insert(X13,X10,X11),X11)
        | c_Main_OsubsetI__1(c_insert(X9,X10,X11),c_insert(X13,X10,X11),X11) = X9
        | c_lessequals(c_insert(X9,X10,X11),X12,tc_set(X11)) )
    | ~ spl0_6
    | ~ spl0_48 ),
    inference(resolution,[],[f409,f33]) ).

fof(f2608,plain,
    ( spl0_161
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f228,f219,f167,f2606]) ).

fof(f228,plain,
    ( ! [X21,X24,X22,X25,X23] :
        ( ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X25),tc_Message_Omsg)
        | c_lessequals(X21,c_insert(X22,c_insert(X23,c_Message_Osynth(c_insert(X24,X25,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f168]) ).

fof(f2365,plain,
    ( spl0_160
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f540,f507,f61,f2363]) ).

fof(f2363,plain,
    ( spl0_160
  <=> ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f540,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f510]) ).

fof(f510,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f62]) ).

fof(f2361,plain,
    ( spl0_159
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f485,f477,f20,f2359]) ).

fof(f485,plain,
    ( ! [X31,X34,X32,X30,X33] :
        ( c_lessequals(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X30,c_insert(X31,c_insert(X32,c_insert(X33,c_Message_Osynth(X34),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X34,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f21]) ).

fof(f2357,plain,
    ( spl0_158
    | ~ spl0_8
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f473,f470,f44,f2355]) ).

fof(f473,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,c_insert(X4,X1,X2),X2),X2) = X0
        | c_in(X5,c_insert(X3,c_insert(X4,X1,X2),X2),X2)
        | ~ c_in(X5,c_insert(X0,X1,X2),X2) )
    | ~ spl0_8
    | ~ spl0_52 ),
    inference(resolution,[],[f471,f45]) ).

fof(f2353,plain,
    ( spl0_157
    | ~ spl0_4
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f448,f412,f24,f2351]) ).

fof(f448,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_lessequals(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f25]) ).

fof(f2349,plain,
    ( spl0_156
    | ~ spl0_4
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f431,f404,f24,f2347]) ).

fof(f431,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X20,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f25]) ).

fof(f2345,plain,
    ( spl0_155
    | ~ spl0_4
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f419,f400,f24,f2343]) ).

fof(f419,plain,
    ( ! [X18,X19,X16,X17,X20] :
        ( c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_insert(X18,c_insert(X19,X20,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X20,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f25]) ).

fof(f2341,plain,
    ( spl0_154
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f370,f365,f32,f2339]) ).

fof(f370,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg) = X6
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(resolution,[],[f366,f33]) ).

fof(f2202,plain,
    ( spl0_153
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f453,f412,f87,f2200]) ).

fof(f2200,plain,
    ( spl0_153
  <=> ! [X10,X7,X9,X8] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f453,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X7 )
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f446]) ).

fof(f446,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_insert(X10,c_Message_Osynth(X8),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f88]) ).

fof(f2198,plain,
    ( spl0_152
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f436,f404,f87,f2196]) ).

fof(f2196,plain,
    ( spl0_152
  <=> ! [X10,X7,X9,X8] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f436,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X7 )
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f429]) ).

fof(f429,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_insert(X9,c_Message_Osynth(c_insert(X10,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f88]) ).

fof(f2194,plain,
    ( spl0_151
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f424,f400,f87,f2192]) ).

fof(f2192,plain,
    ( spl0_151
  <=> ! [X10,X7,X9,X8] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f424,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X7 )
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f417]) ).

fof(f417,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = X7
        | c_lessequals(c_insert(X7,X8,tc_Message_Omsg),c_Message_Osynth(c_insert(X9,c_insert(X10,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f88]) ).

fof(f2186,plain,
    ( spl0_150
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f384,f378,f230,f2184]) ).

fof(f378,plain,
    ( spl0_45
  <=> ! [X4,X2,X3] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_Message_Omsg) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f384,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg),tc_Message_Omsg) = X0
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X2,c_Message_Osynth(X1),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(resolution,[],[f379,f231]) ).

fof(f379,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_Message_Omsg) = X2 )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f2182,plain,
    ( spl0_149
    | ~ spl0_32
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f381,f374,f230,f2180]) ).

fof(f374,plain,
    ( spl0_44
  <=> ! [X4,X2,X3] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f381,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = X0
        | c_in(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_44 ),
    inference(resolution,[],[f375,f231]) ).

fof(f375,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg) = X2 )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f2178,plain,
    ( spl0_148
    | ~ spl0_31
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f333,f294,f219,f2176]) ).

fof(f333,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_lessequals(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f220]) ).

fof(f2174,plain,
    ( spl0_147
    | ~ spl0_31
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f324,f290,f219,f2172]) ).

fof(f324,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_lessequals(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg))),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f220]) ).

fof(f2170,plain,
    ( spl0_146
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f302,f278,f219,f2168]) ).

fof(f302,plain,
    ( ! [X18,X19,X16,X17] :
        ( c_lessequals(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X16,c_Message_Osynth(c_Message_Osynth(c_insert(X17,c_Message_Osynth(c_insert(X18,X19,tc_Message_Omsg)),tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X19),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f220]) ).

fof(f2062,plain,
    ( spl0_145
    | ~ spl0_7
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f537,f507,f36,f2060]) ).

fof(f2060,plain,
    ( spl0_145
  <=> ! [X9,X11,X10] :
        ( ~ c_lessequals(X9,X10,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f537,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_lessequals(X9,X10,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f513]) ).

fof(f513,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_lessequals(X9,X10,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_Message_Omsg) = X11
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X11,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X10)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f37]) ).

fof(f2058,plain,
    ( spl0_144
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1373,f1245,f32,f2056]) ).

fof(f1373,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(duplicate_literal_removal,[],[f1351]) ).

fof(f1351,plain,
    ( ! [X12,X13] :
        ( c_lessequals(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X12,c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(resolution,[],[f1246,f33]) ).

fof(f2054,plain,
    ( spl0_143
    | ~ spl0_12
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f385,f378,f69,f2052]) ).

fof(f385,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg) = X4
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_insert(X6,c_Message_Osynth(X5),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_45 ),
    inference(resolution,[],[f379,f70]) ).

fof(f2050,plain,
    ( spl0_142
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f382,f374,f69,f2048]) ).

fof(f382,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg) = X4
        | ~ c_in(X7,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X7,c_Message_Osynth(c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(resolution,[],[f375,f70]) ).

fof(f2046,plain,
    ( spl0_141
    | ~ spl0_6
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f308,f282,f32,f2044]) ).

fof(f308,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),X7,tc_Message_Omsg) = X6
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_Message_Omsg),c_Message_Osynth(X7),tc_Message_Omsg)
        | c_lessequals(c_Message_Osynth(c_insert(X6,X7,tc_Message_Omsg)),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_38 ),
    inference(resolution,[],[f283,f33]) ).

fof(f1903,plain,
    ( spl0_140
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f313,f286,f32,f1901]) ).

fof(f313,plain,
    ( ! [X6,X7,X5] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),X7,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X5,X6,tc_Message_Omsg),X7,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(resolution,[],[f287,f33]) ).

fof(f1899,plain,
    ( spl0_139
    | ~ spl0_24
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f243,f230,f161,f1897]) ).

fof(f161,plain,
    ( spl0_24
  <=> ! [X5,X7,X6,X8] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,X6,X7),X7) = X5
        | c_lessequals(c_insert(X5,X6,X7),c_insert(X8,X6,X7),tc_set(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f243,plain,
    ( ! [X31,X28,X29,X30] :
        ( c_in(X28,c_Message_Osynth(c_Message_Osynth(c_insert(X29,X30,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X28,c_Message_Osynth(c_insert(X31,X30,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X31,X30,tc_Message_Omsg),c_insert(X29,X30,tc_Message_Omsg),tc_Message_Omsg) = X31 )
    | ~ spl0_24
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f162]) ).

fof(f162,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(c_insert(X5,X6,X7),c_insert(X8,X6,X7),tc_set(X7))
        | c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,X6,X7),X7) = X5 )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f1895,plain,
    ( spl0_138
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f226,f219,f143,f1893]) ).

fof(f226,plain,
    ( ! [X16,X14,X15,X13] :
        ( ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X16),tc_Message_Omsg)
        | c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_insert(X15,X16,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f144]) ).

fof(f1891,plain,
    ( spl0_137
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1341,f1241,f32,f1889]) ).

fof(f1341,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(duplicate_literal_removal,[],[f1319]) ).

fof(f1319,plain,
    ( ! [X12,X13] :
        ( c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X12,c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(X12)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(resolution,[],[f1242,f33]) ).

fof(f1887,plain,
    ( spl0_136
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f225,f219,f139,f1885]) ).

fof(f225,plain,
    ( ! [X10,X11,X9,X12] :
        ( ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X12),tc_Message_Omsg)
        | c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f140]) ).

fof(f1655,plain,
    ( spl0_135
    | ~ spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f432,f404,f20,f1653]) ).

fof(f432,plain,
    ( ! [X21,X24,X22,X23] :
        ( c_lessequals(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X21,c_insert(X22,c_Message_Osynth(c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X24,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f21]) ).

fof(f1651,plain,
    ( spl0_134
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1312,f1237,f32,f1649]) ).

fof(f1312,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(duplicate_literal_removal,[],[f1290]) ).

fof(f1290,plain,
    ( ! [X12,X13] :
        ( c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_insert(X13,c_Message_Osynth(X12),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(resolution,[],[f1238,f33]) ).

fof(f1647,plain,
    ( spl0_133
    | ~ spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f420,f400,f20,f1645]) ).

fof(f420,plain,
    ( ! [X21,X24,X22,X23] :
        ( c_lessequals(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X21,c_Message_Osynth(c_insert(X22,c_insert(X23,c_Message_Osynth(X24),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X24,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f21]) ).

fof(f1643,plain,
    ( spl0_132
    | ~ spl0_8
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f386,f378,f44,f1641]) ).

fof(f386,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg) = X8
        | c_in(X11,c_insert(X10,c_Message_Osynth(X9),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_45 ),
    inference(resolution,[],[f379,f45]) ).

fof(f1639,plain,
    ( spl0_131
    | ~ spl0_8
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f383,f374,f44,f1637]) ).

fof(f383,plain,
    ( ! [X10,X11,X8,X9] :
        ( c_Main_OsubsetI__1(c_insert(X8,X9,tc_Message_Omsg),c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg) = X8
        | c_in(X11,c_Message_Osynth(c_insert(X10,X9,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X11,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_44 ),
    inference(resolution,[],[f375,f45]) ).

fof(f1635,plain,
    ( spl0_130
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f352,f338,f120,f1633]) ).

fof(f352,plain,
    ( ! [X31,X32,X30,X33] :
        ( ~ c_lessequals(X30,X31,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_set(tc_Message_Omsg))
        | c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X30)),X32,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X33)),tc_Message_Omsg)
        | ~ c_lessequals(X31,X33,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f121]) ).

fof(f1631,plain,
    ( spl0_129
    | ~ spl0_4
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f331,f294,f24,f1629]) ).

fof(f331,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg),X12,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f25]) ).

fof(f1627,plain,
    ( spl0_128
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f322,f290,f24,f1625]) ).

fof(f322,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_insert(X11,X12,tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg),X12,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f25]) ).

fof(f1623,plain,
    ( spl0_127
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f300,f278,f24,f1621]) ).

fof(f300,plain,
    ( ! [X10,X11,X9,X12] :
        ( c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_insert(X10,c_insert(X11,X12,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg),X12,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f25]) ).

fof(f1602,plain,
    ( spl0_126
    | ~ spl0_6
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1273,f1229,f32,f1600]) ).

fof(f1273,plain,
    ( ! [X12,X13] : c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_109 ),
    inference(duplicate_literal_removal,[],[f1251]) ).

fof(f1251,plain,
    ( ! [X12,X13] :
        ( c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | c_lessequals(X12,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_109 ),
    inference(resolution,[],[f1230,f33]) ).

fof(f1469,plain,
    ( spl0_125
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f461,f457,f20,f1467]) ).

fof(f461,plain,
    ( ! [X6,X7,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),c_insert(X6,X5,tc_Message_Omsg),tc_Message_Omsg) = X4
        | c_in(X7,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X7,c_insert(X4,X5,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(resolution,[],[f458,f21]) ).

fof(f1465,plain,
    ( spl0_124
    | ~ spl0_15
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f335,f294,f87,f1463]) ).

fof(f335,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg) = X2 )
    | ~ spl0_15
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f329]) ).

fof(f329,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f88]) ).

fof(f1461,plain,
    ( spl0_123
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f326,f290,f87,f1459]) ).

fof(f326,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg) = X2 )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f320,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f88]) ).

fof(f1457,plain,
    ( spl0_122
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f304,f278,f87,f1455]) ).

fof(f304,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_Message_Omsg) = X2 )
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f298,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f88]) ).

fof(f1453,plain,
    ( spl0_121
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f274,f271,f230,f1451]) ).

fof(f271,plain,
    ( spl0_36
  <=> ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f274,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) = X0
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1)))),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(resolution,[],[f272,f231]) ).

fof(f272,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1 )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f1449,plain,
    ( spl0_120
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1194,f1154,f32,f1447]) ).

fof(f1447,plain,
    ( spl0_120
  <=> ! [X13,X12] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1194,plain,
    ( ! [X12,X13] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(duplicate_literal_removal,[],[f1176]) ).

fof(f1176,plain,
    ( ! [X12,X13] :
        ( c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_103 ),
    inference(resolution,[],[f1155,f33]) ).

fof(f1445,plain,
    ( spl0_119
    | ~ spl0_6
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f263,f258,f32,f1443]) ).

fof(f263,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X8,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) )
    | ~ spl0_6
    | ~ spl0_34 ),
    inference(resolution,[],[f259,f33]) ).

fof(f1441,plain,
    ( spl0_118
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f253,f245,f219,f1439]) ).

fof(f253,plain,
    ( ! [X11,X12,X13] :
        ( c_lessequals(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X11,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X12,X13,tc_Message_Omsg))))),tc_Message_Omsg),c_Message_Osynth(X13),tc_Message_Omsg) )
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f220]) ).

fof(f1437,plain,
    ( spl0_117
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f227,f219,f79,f1435]) ).

fof(f227,plain,
    ( ! [X18,X19,X17,X20] :
        ( ~ c_in(c_Main_OsubsetI__1(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X20),tc_Message_Omsg)
        | c_lessequals(X17,c_insert(X18,c_Message_Osynth(c_insert(X19,X20,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f80]) ).

fof(f1423,plain,
    ( spl0_116
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f275,f271,f69,f1421]) ).

fof(f275,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg) = X3
        | ~ c_in(X5,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X4))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(resolution,[],[f272,f70]) ).

fof(f1384,plain,
    ( spl0_115
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f242,f230,f133,f1382]) ).

fof(f133,plain,
    ( spl0_21
  <=> ! [X4,X3] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f242,plain,
    ( ! [X26,X27,X25] :
        ( c_in(X25,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X26))),tc_Message_Omsg)
        | ~ c_in(X25,c_Message_Osynth(c_insert(X27,X26,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X27,X26,tc_Message_Omsg),c_Message_Osynth(X26),tc_Message_Omsg) = X27 )
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f134]) ).

fof(f134,plain,
    ( ! [X3,X4] :
        ( c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3 )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f1380,plain,
    ( spl0_114
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f223,f219,f106,f1378]) ).

fof(f223,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_Message_Omsg),c_Message_Osynth(X5),tc_Message_Omsg)
        | c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f107]) ).

fof(f1247,plain,
    ( spl0_113
    | ~ spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f332,f294,f20,f1245]) ).

fof(f332,plain,
    ( ! [X14,X15,X13] :
        ( c_lessequals(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_insert(X14,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X15))),tc_Message_Omsg),tc_Message_Omsg),X15,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f21]) ).

fof(f1243,plain,
    ( spl0_112
    | ~ spl0_3
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f323,f290,f20,f1241]) ).

fof(f323,plain,
    ( ! [X14,X15,X13] :
        ( c_lessequals(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_insert(X14,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg)),tc_Message_Omsg),X15,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f21]) ).

fof(f1239,plain,
    ( spl0_111
    | ~ spl0_3
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f301,f278,f20,f1237]) ).

fof(f301,plain,
    ( ! [X14,X15,X13] :
        ( c_lessequals(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X13,c_Message_Osynth(c_Message_Osynth(c_insert(X14,c_Message_Osynth(X15),tc_Message_Omsg))),tc_Message_Omsg),X15,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f21]) ).

fof(f1235,plain,
    ( spl0_110
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f276,f271,f44,f1233]) ).

fof(f276,plain,
    ( ! [X8,X6,X7] :
        ( c_Main_OsubsetI__1(c_insert(X6,X7,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg) = X6
        | c_in(X8,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg)
        | ~ c_in(X8,c_insert(X6,X7,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(resolution,[],[f272,f45]) ).

fof(f1231,plain,
    ( spl0_109
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f251,f245,f24,f1229]) ).

fof(f251,plain,
    ( ! [X8,X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)))),tc_Message_Omsg),X8,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f25]) ).

fof(f1224,plain,
    ( spl0_108
    | ~ spl0_6
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1127,f1087,f32,f1222]) ).

fof(f1222,plain,
    ( spl0_108
  <=> ! [X13,X12] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1127,plain,
    ( ! [X12,X13] : c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_98 ),
    inference(duplicate_literal_removal,[],[f1109]) ).

fof(f1109,plain,
    ( ! [X12,X13] :
        ( c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(X12),c_Message_Osynth(c_insert(X13,X12,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_98 ),
    inference(resolution,[],[f1088,f33]) ).

fof(f1172,plain,
    ( spl0_107
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f488,f477,f338,f1170]) ).

fof(f488,plain,
    ( ! [X21,X18,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X18)),c_insert(X19,c_insert(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X22,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ( ! [X21,X18,X19,X22,X20] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X18)),c_insert(X19,c_insert(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X18,X22,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X18)),c_insert(X19,c_insert(X20,c_insert(X21,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f339]) ).

fof(f1168,plain,
    ( spl0_106
    | ~ spl0_3
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f369,f365,f20,f1166]) ).

fof(f369,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(c_Message_Osynth(X4)),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_43 ),
    inference(resolution,[],[f366,f21]) ).

fof(f1164,plain,
    ( spl0_105
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f255,f245,f87,f1162]) ).

fof(f255,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg) = X1 )
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f249]) ).

fof(f249,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_Message_Omsg) = X1
        | c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X2))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f88]) ).

fof(f1160,plain,
    ( spl0_104
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f241,f230,f124,f1158]) ).

fof(f241,plain,
    ( ! [X24,X22,X23] :
        ( c_in(X22,c_Message_Osynth(c_Message_Osynth(X23)),tc_Message_Omsg)
        | ~ c_in(X22,c_Message_Osynth(c_insert(X24,X23,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X24,X23,tc_Message_Omsg),X23,tc_Message_Omsg) = X24 )
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f125]) ).

fof(f1156,plain,
    ( spl0_103
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f222,f219,f61,f1154]) ).

fof(f222,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg)
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f62]) ).

fof(f1105,plain,
    ( spl0_102
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f455,f412,f338,f1103]) ).

fof(f455,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f444]) ).

fof(f444,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3))),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f339]) ).

fof(f1101,plain,
    ( spl0_101
    | ~ spl0_42
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f438,f404,f338,f1099]) ).

fof(f438,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f427]) ).

fof(f427,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_insert(X1,c_Message_Osynth(c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f339]) ).

fof(f1097,plain,
    ( spl0_100
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f426,f400,f338,f1095]) ).

fof(f426,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f415]) ).

fof(f415,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_insert(X1,c_insert(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f339]) ).

fof(f1093,plain,
    ( spl0_99
    | ~ spl0_3
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f307,f282,f20,f1091]) ).

fof(f307,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),X4,tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_38 ),
    inference(resolution,[],[f283,f21]) ).

fof(f1089,plain,
    ( spl0_98
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f224,f219,f36,f1087]) ).

fof(f224,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X8),tc_Message_Omsg)
        | c_lessequals(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(resolution,[],[f220,f37]) ).

fof(f1082,plain,
    ( spl0_97
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1075,f1043,f32,f1080]) ).

fof(f1075,plain,
    ( ! [X9] : c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(duplicate_literal_removal,[],[f1053]) ).

fof(f1053,plain,
    ( ! [X9] :
        ( c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_set(tc_Message_Omsg))
        | c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X9)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(resolution,[],[f1044,f33]) ).

fof(f1049,plain,
    ( spl0_96
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f353,f338,f167,f1047]) ).

fof(f353,plain,
    ( ! [X28,X29,X26,X27] :
        ( ~ c_lessequals(X26,X27,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X26)),c_insert(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f351]) ).

fof(f351,plain,
    ( ! [X28,X29,X26,X27] :
        ( ~ c_lessequals(X26,X27,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X26)),c_insert(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X26)),c_insert(X28,c_insert(X29,c_Message_Osynth(c_Message_Osynth(X27)),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f168]) ).

fof(f1045,plain,
    ( spl0_95
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f252,f245,f20,f1043]) ).

fof(f252,plain,
    ( ! [X10,X9] :
        ( c_lessequals(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X10)))),tc_Message_Omsg),X10,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f21]) ).

fof(f1013,plain,
    ( spl0_94
    | ~ spl0_2
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f439,f408,f16,f1011]) ).

fof(f439,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_in(X0,c_insert(X1,X2,X3),X3)
        | c_Main_OsubsetI__1(c_insert(X0,X2,X3),c_insert(X1,X2,X3),X3) = X0 )
    | ~ spl0_2
    | ~ spl0_48 ),
    inference(resolution,[],[f409,f17]) ).

fof(f1009,plain,
    ( spl0_93
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f358,f338,f290,f1007]) ).

fof(f358,plain,
    ( ! [X11,X12,X13] :
        ( ~ c_lessequals(X11,X12,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X11)),c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f346,plain,
    ( ! [X11,X12,X13] :
        ( ~ c_lessequals(X11,X12,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X11)),c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X11)),c_Message_Osynth(c_insert(X13,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X12))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f291]) ).

fof(f1005,plain,
    ( spl0_92
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f357,f338,f278,f1003]) ).

fof(f357,plain,
    ( ! [X16,X14,X15] :
        ( ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X14)),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f347,plain,
    ( ! [X16,X14,X15] :
        ( ~ c_lessequals(X14,X15,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X14)),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X14)),c_Message_Osynth(c_Message_Osynth(c_insert(X16,c_Message_Osynth(c_Message_Osynth(X15)),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f279]) ).

fof(f1001,plain,
    ( spl0_91
    | ~ spl0_8
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f669,f581,f44,f999]) ).

fof(f999,plain,
    ( spl0_91
  <=> ! [X6,X8,X7] :
        ( c_in(X6,c_insert(X7,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f669,plain,
    ( ! [X8,X6,X7] :
        ( c_in(X6,c_insert(X7,c_Message_Osynth(c_Message_Osynth(X8)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_63 ),
    inference(resolution,[],[f582,f45]) ).

fof(f997,plain,
    ( spl0_90
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f355,f338,f294,f995]) ).

fof(f355,plain,
    ( ! [X21,X22,X20] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X20)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X21)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f349,plain,
    ( ! [X21,X22,X20] :
        ( ~ c_lessequals(X20,X21,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X20)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X21)))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X20)),c_insert(X22,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X21)))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f295]) ).

fof(f972,plain,
    ( spl0_89
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f359,f338,f139,f970]) ).

fof(f359,plain,
    ( ! [X10,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X8)),c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f345,plain,
    ( ! [X10,X8,X9] :
        ( ~ c_lessequals(X8,X9,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X8)),c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X8)),c_Message_Osynth(c_insert(X10,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f140]) ).

fof(f968,plain,
    ( spl0_88
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f356,f338,f143,f966]) ).

fof(f356,plain,
    ( ! [X18,X19,X17] :
        ( ~ c_lessequals(X17,X18,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X17)),c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X18))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f348,plain,
    ( ! [X18,X19,X17] :
        ( ~ c_lessequals(X17,X18,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X17)),c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X18))),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X17)),c_insert(X19,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X18))),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f144]) ).

fof(f964,plain,
    ( spl0_87
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f233,f230,f28,f962]) ).

fof(f233,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f29]) ).

fof(f938,plain,
    ( spl0_86
    | ~ spl0_8
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f666,f542,f44,f936]) ).

fof(f936,plain,
    ( spl0_86
  <=> ! [X6,X8,X7] :
        ( c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f666,plain,
    ( ! [X8,X6,X7] :
        ( c_in(X6,c_Message_Osynth(c_insert(X7,c_Message_Osynth(X8),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_57 ),
    inference(resolution,[],[f543,f45]) ).

fof(f934,plain,
    ( spl0_85
    | ~ spl0_33
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f361,f338,f245,f932]) ).

fof(f361,plain,
    ( ! [X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X4)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f343,plain,
    ( ! [X4,X5] :
        ( ~ c_lessequals(X4,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X4)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X4)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_33
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f246]) ).

fof(f930,plain,
    ( spl0_84
    | ~ spl0_14
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f354,f338,f79,f928]) ).

fof(f354,plain,
    ( ! [X24,X25,X23] :
        ( ~ c_lessequals(X23,X24,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X23)),c_insert(X25,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f350,plain,
    ( ! [X24,X25,X23] :
        ( ~ c_lessequals(X23,X24,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X23)),c_insert(X25,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X23)),c_insert(X25,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_14
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f80]) ).

fof(f926,plain,
    ( spl0_83
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f240,f230,f213,f924]) ).

fof(f240,plain,
    ( ! [X21,X18,X19,X20] :
        ( c_in(X18,c_Message_Osynth(c_Message_Osynth(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X18,c_Message_Osynth(X21),tc_Message_Omsg) )
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f214]) ).

fof(f901,plain,
    ( spl0_82
    | ~ spl0_17
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f362,f338,f106,f899]) ).

fof(f362,plain,
    ( ! [X2,X3] :
        ( ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X2)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f342,plain,
    ( ! [X2,X3] :
        ( ~ c_lessequals(X2,X3,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X2)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3)))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X2)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X3)))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f107]) ).

fof(f897,plain,
    ( spl0_81
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f217,f213,f69,f895]) ).

fof(f217,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ c_in(X5,c_Message_Osynth(X6),tc_Message_Omsg)
        | c_in(X5,c_Message_Osynth(c_insert(X7,c_insert(X8,X6,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(resolution,[],[f214,f70]) ).

fof(f855,plain,
    ( spl0_80
    | ~ spl0_8
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f663,f466,f44,f853]) ).

fof(f853,plain,
    ( spl0_80
  <=> ! [X6,X8,X7] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f663,plain,
    ( ! [X8,X6,X7] :
        ( c_in(X6,c_Message_Osynth(c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg))),tc_Message_Omsg)
        | ~ c_in(X6,X8,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_51 ),
    inference(resolution,[],[f467,f45]) ).

fof(f851,plain,
    ( spl0_79
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f363,f338,f61,f849]) ).

fof(f363,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f341,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X1))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f62]) ).

fof(f847,plain,
    ( spl0_78
    | ~ spl0_2
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f311,f286,f16,f845]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0 )
    | ~ spl0_2
    | ~ spl0_39 ),
    inference(resolution,[],[f287,f17]) ).

fof(f843,plain,
    ( spl0_77
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f237,f230,f197,f841]) ).

fof(f237,plain,
    ( ! [X10,X11,X9] :
        ( c_in(X9,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(c_insert(X10,X11,tc_Message_Omsg)))),tc_Message_Omsg)
        | ~ c_in(X9,c_Message_Osynth(X11),tc_Message_Omsg) )
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f231,f198]) ).

fof(f798,plain,
    ( spl0_76
    | ~ spl0_6
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f491,f477,f32,f796]) ).

fof(f491,plain,
    ( ! [X2,X3,X0,X1,X4] : c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,X0,X4),X4),X4),tc_set(X4))
    | ~ spl0_6
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f480]) ).

fof(f480,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,X0,X4),X4),X4),tc_set(X4))
        | c_lessequals(X0,c_insert(X1,c_insert(X2,c_insert(X3,X0,X4),X4),X4),tc_set(X4)) )
    | ~ spl0_6
    | ~ spl0_53 ),
    inference(resolution,[],[f478,f33]) ).

fof(f794,plain,
    ( spl0_75
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f360,f338,f36,f792]) ).

fof(f360,plain,
    ( ! [X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X6)),c_Message_Osynth(c_Message_Osynth(X7)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ( ! [X6,X7] :
        ( ~ c_lessequals(X6,X7,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X6)),c_Message_Osynth(c_Message_Osynth(X7)),tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X6)),c_Message_Osynth(c_Message_Osynth(X7)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(resolution,[],[f339,f37]) ).

fof(f790,plain,
    ( spl0_74
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f216,f213,f44,f788]) ).

fof(f216,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_in(X0,c_insert(X1,c_insert(X2,X3,X4),X4),X4)
        | ~ c_in(X0,X3,X4) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(resolution,[],[f214,f45]) ).

fof(f770,plain,
    ( spl0_73
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f204,f197,f69,f768]) ).

fof(f204,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X2,X1,tc_Message_Omsg))),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(resolution,[],[f198,f70]) ).

fof(f743,plain,
    ( spl0_72
    | ~ spl0_2
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f261,f258,f16,f741]) ).

fof(f261,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,X1,X2)
        | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 )
    | ~ spl0_2
    | ~ spl0_34 ),
    inference(resolution,[],[f259,f17]) ).

fof(f693,plain,
    ( spl0_71
    | ~ spl0_6
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f454,f412,f32,f691]) ).

fof(f454,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_insert(X6,c_Message_Osynth(X4),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f445]) ).

fof(f445,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(X4,c_insert(X5,c_insert(X6,c_Message_Osynth(X4),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X4,c_insert(X5,c_insert(X6,c_Message_Osynth(X4),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_49 ),
    inference(resolution,[],[f413,f33]) ).

fof(f689,plain,
    ( spl0_70
    | ~ spl0_6
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f437,f404,f32,f687]) ).

fof(f437,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_insert(X5,c_Message_Osynth(c_insert(X6,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f428]) ).

fof(f428,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(X4,c_insert(X5,c_Message_Osynth(c_insert(X6,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X4,c_insert(X5,c_Message_Osynth(c_insert(X6,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_47 ),
    inference(resolution,[],[f405,f33]) ).

fof(f685,plain,
    ( spl0_69
    | ~ spl0_8
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f318,f267,f44,f683]) ).

fof(f683,plain,
    ( spl0_69
  <=> ! [X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | ~ c_in(X4,X5,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f318,plain,
    ( ! [X4,X5] :
        ( c_in(X4,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X5))),tc_Message_Omsg)
        | ~ c_in(X4,X5,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_35 ),
    inference(resolution,[],[f268,f45]) ).

fof(f681,plain,
    ( spl0_68
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f425,f400,f32,f679]) ).

fof(f425,plain,
    ( ! [X6,X4,X5] : c_lessequals(X4,c_Message_Osynth(c_insert(X5,c_insert(X6,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f416]) ).

fof(f416,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(X4,c_Message_Osynth(c_insert(X5,c_insert(X6,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X4,c_Message_Osynth(c_insert(X5,c_insert(X6,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(resolution,[],[f401,f33]) ).

fof(f677,plain,
    ( spl0_67
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f207,f201,f44,f675]) ).

fof(f207,plain,
    ( ! [X3,X4,X5] :
        ( c_in(X3,c_insert(X4,c_Message_Osynth(X5),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(resolution,[],[f202,f45]) ).

fof(f673,plain,
    ( spl0_66
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f205,f197,f44,f671]) ).

fof(f205,plain,
    ( ! [X3,X4,X5] :
        ( c_in(X3,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X3,X5,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(resolution,[],[f198,f45]) ).

fof(f622,plain,
    ( spl0_65
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f187,f177,f49,f620]) ).

fof(f187,plain,
    ( ! [X31,X29,X34,X32,X30,X33] :
        ( c_lessequals(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,tc_set(X33))
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X29
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X30
        | c_in(c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33),X32,X33)
        | c_Main_OsubsetI__1(c_insert(X29,c_insert(X30,c_insert(X31,X32,X33),X33),X33),X34,X33) = X31 )
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f50]) ).

fof(f587,plain,
    ( spl0_64
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f188,f177,f120,f585]) ).

fof(f188,plain,
    ( ! [X38,X39,X36,X37,X35] :
        ( c_lessequals(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X35
        | c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg) = X36
        | c_in(c_Main_OsubsetI__1(c_insert(X35,c_insert(X36,c_Message_Osynth(c_Message_Osynth(X37)),tc_Message_Omsg),tc_Message_Omsg),X38,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X39)),tc_Message_Omsg)
        | ~ c_lessequals(X37,X39,tc_set(tc_Message_Omsg)) )
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f121]) ).

fof(f583,plain,
    ( spl0_63
    | ~ spl0_6
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f336,f294,f32,f581]) ).

fof(f336,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f328,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_insert(X1,c_Message_Osynth(c_Message_Osynth(X0)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_41 ),
    inference(resolution,[],[f295,f33]) ).

fof(f576,plain,
    ( spl0_62
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f189,f177,f167,f574]) ).

fof(f189,plain,
    ( ! [X28,X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),tc_set(X26))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X24 )
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ( ! [X28,X26,X27,X24,X25,X23] :
        ( c_lessequals(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),tc_set(X26))
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X23
        | c_Main_OsubsetI__1(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),X26) = X24
        | c_lessequals(c_insert(X23,c_insert(X24,X25,X26),X26),c_insert(X27,c_insert(X28,X25,X26),X26),tc_set(X26)) )
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f168]) ).

fof(f566,plain,
    ( spl0_61
    | ~ spl0_22
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f191,f177,f139,f564]) ).

fof(f191,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X16 )
    | ~ spl0_22
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X15
        | c_Main_OsubsetI__1(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_Message_Omsg) = X16
        | c_lessequals(c_insert(X15,c_insert(X16,X17,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(X18,X17,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_22
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f140]) ).

fof(f562,plain,
    ( spl0_60
    | ~ spl0_23
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f190,f177,f143,f560]) ).

fof(f190,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X19
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X20 )
    | ~ spl0_23
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ( ! [X21,X19,X22,X20] :
        ( c_lessequals(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X19
        | c_Main_OsubsetI__1(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_Message_Omsg) = X20
        | c_lessequals(c_insert(X19,c_insert(X20,X21,tc_Message_Omsg),tc_Message_Omsg),c_insert(X22,c_Message_Osynth(X21),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_23
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f144]) ).

fof(f555,plain,
    ( spl0_59
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f192,f177,f79,f553]) ).

fof(f192,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( c_lessequals(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),tc_set(X13))
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X11 )
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ( ! [X10,X11,X14,X12,X13] :
        ( c_lessequals(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),tc_set(X13))
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X10
        | c_Main_OsubsetI__1(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),X13) = X11
        | c_lessequals(c_insert(X10,c_insert(X11,X12,X13),X13),c_insert(X14,X12,X13),tc_set(X13)) )
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f80]) ).

fof(f548,plain,
    ( spl0_58
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f193,f177,f106,f546]) ).

fof(f193,plain,
    ( ! [X8,X9,X7] :
        ( c_lessequals(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X8 )
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ( ! [X8,X9,X7] :
        ( c_lessequals(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X7
        | c_Main_OsubsetI__1(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) = X8
        | c_lessequals(c_insert(X7,c_insert(X8,X9,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f107]) ).

fof(f544,plain,
    ( spl0_57
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f327,f290,f32,f542]) ).

fof(f327,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f319,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Osynth(c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(resolution,[],[f291,f33]) ).

fof(f509,plain,
    ( spl0_56
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f129,f120,f87,f507]) ).

fof(f129,plain,
    ( ! [X8,X6,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg)
        | ~ c_lessequals(X7,X9,tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_Message_Omsg) = X6
        | c_lessequals(c_insert(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg),X8,tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f121,f88]) ).

fof(f502,plain,
    ( spl0_55
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f194,f177,f61,f500]) ).

fof(f194,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5 )
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ( ! [X6,X4,X5] :
        ( c_lessequals(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X4
        | c_Main_OsubsetI__1(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_Message_Omsg) = X5
        | c_lessequals(c_insert(X4,c_insert(X5,X6,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(X6),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f62]) ).

fof(f495,plain,
    ( spl0_54
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f195,f177,f36,f493]) ).

fof(f195,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_insert(X0,c_insert(X1,X2,X3),X3),X2,tc_set(X3))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1 )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(c_insert(X0,c_insert(X1,X2,X3),X3),X2,tc_set(X3))
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X0
        | c_Main_OsubsetI__1(c_insert(X0,c_insert(X1,X2,X3),X3),X2,X3) = X1
        | c_lessequals(c_insert(X0,c_insert(X1,X2,X3),X3),X2,tc_set(X3)) )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(resolution,[],[f178,f37]) ).

fof(f479,plain,
    ( spl0_53
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f172,f167,f24,f477]) ).

fof(f172,plain,
    ( ! [X10,X11,X9,X14,X12,X13] :
        ( c_lessequals(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),tc_set(X14))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_insert(X11,c_insert(X12,X13,X14),X14),X14),X14),X13,X14) )
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(resolution,[],[f168,f25]) ).

fof(f472,plain,
    ( spl0_52
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f174,f167,f87,f470]) ).

fof(f174,plain,
    ( ! [X8,X6,X7,X4,X5] :
        ( c_lessequals(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),tc_set(X6))
        | c_Main_OsubsetI__1(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),X6) = X4 )
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ( ! [X8,X6,X7,X4,X5] :
        ( c_lessequals(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),tc_set(X6))
        | c_Main_OsubsetI__1(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),X6) = X4
        | c_lessequals(c_insert(X4,X5,X6),c_insert(X7,c_insert(X8,X5,X6),X6),tc_set(X6)) )
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(resolution,[],[f168,f88]) ).

fof(f468,plain,
    ( spl0_51
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f305,f278,f32,f466]) ).

fof(f305,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f297,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(resolution,[],[f279,f33]) ).

fof(f459,plain,
    ( spl0_50
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f165,f161,f69,f457]) ).

fof(f165,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,tc_Message_Omsg),c_insert(X7,X6,tc_Message_Omsg),tc_Message_Omsg) = X5
        | ~ c_in(X8,c_Message_Osynth(c_insert(X5,X6,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X8,c_Message_Osynth(c_insert(X7,X6,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(resolution,[],[f162,f70]) ).

fof(f414,plain,
    ( spl0_49
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f173,f167,f20,f412]) ).

fof(f173,plain,
    ( ! [X18,X16,X17,X15] :
        ( c_lessequals(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X15,c_insert(X16,c_insert(X17,c_Message_Osynth(X18),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),X18,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(resolution,[],[f168,f21]) ).

fof(f410,plain,
    ( spl0_48
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f164,f161,f44,f408]) ).

fof(f164,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_insert(X3,X1,X2),X2) = X0
        | c_in(X4,c_insert(X3,X1,X2),X2)
        | ~ c_in(X4,c_insert(X0,X1,X2),X2) )
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(resolution,[],[f162,f45]) ).

fof(f406,plain,
    ( spl0_47
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f154,f143,f24,f404]) ).

fof(f154,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X5,c_insert(X6,c_Message_Osynth(c_insert(X7,X8,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),X8,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(resolution,[],[f144,f25]) ).

fof(f402,plain,
    ( spl0_46
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f148,f139,f24,f400]) ).

fof(f148,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_lessequals(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X5,c_Message_Osynth(c_insert(X6,c_insert(X7,X8,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),X8,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(resolution,[],[f140,f25]) ).

fof(f380,plain,
    ( spl0_45
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f156,f143,f87,f378]) ).

fof(f156,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_Message_Omsg) = X2 )
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_insert(X4,c_Message_Osynth(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(resolution,[],[f144,f88]) ).

fof(f376,plain,
    ( spl0_44
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f150,f139,f87,f374]) ).

fof(f150,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg) = X2 )
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ( ! [X2,X3,X4] :
        ( c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg) = X2
        | c_lessequals(c_insert(X2,X3,tc_Message_Omsg),c_Message_Osynth(c_insert(X4,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(resolution,[],[f140,f88]) ).

fof(f367,plain,
    ( spl0_43
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f136,f133,f69,f365]) ).

fof(f136,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X0
        | ~ c_in(X2,c_Message_Osynth(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(resolution,[],[f134,f70]) ).

fof(f340,plain,
    ( spl0_42
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f128,f120,f32,f338]) ).

fof(f128,plain,
    ( ! [X3,X4,X5] :
        ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg)
        | ~ c_lessequals(X3,X5,tc_set(tc_Message_Omsg))
        | c_lessequals(c_Message_Osynth(c_Message_Osynth(X3)),X4,tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(resolution,[],[f121,f33]) ).

fof(f296,plain,
    ( spl0_41
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f155,f143,f20,f294]) ).

fof(f155,plain,
    ( ! [X10,X11,X9] :
        ( c_lessequals(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_insert(X10,c_Message_Osynth(c_Message_Osynth(X11)),tc_Message_Omsg),tc_Message_Omsg),X11,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(resolution,[],[f144,f21]) ).

fof(f292,plain,
    ( spl0_40
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f149,f139,f20,f290]) ).

fof(f149,plain,
    ( ! [X10,X11,X9] :
        ( c_lessequals(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X9,c_Message_Osynth(c_insert(X10,c_Message_Osynth(X11),tc_Message_Omsg)),tc_Message_Omsg),X11,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(resolution,[],[f140,f21]) ).

fof(f288,plain,
    ( spl0_39
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f137,f133,f44,f286]) ).

fof(f137,plain,
    ( ! [X3,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_in(X5,c_Message_Osynth(X4),tc_Message_Omsg)
        | ~ c_in(X5,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(resolution,[],[f134,f45]) ).

fof(f284,plain,
    ( spl0_38
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f131,f124,f69,f282]) ).

fof(f131,plain,
    ( ! [X6,X4,X5] :
        ( c_Main_OsubsetI__1(c_insert(X4,X5,tc_Message_Omsg),X5,tc_Message_Omsg) = X4
        | ~ c_in(X6,c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X6,c_Message_Osynth(X5),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(resolution,[],[f125,f70]) ).

fof(f280,plain,
    ( spl0_37
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f111,f106,f24,f278]) ).

fof(f111,plain,
    ( ! [X3,X4,X5] :
        ( c_lessequals(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(c_Message_Osynth(c_insert(X4,X5,tc_Message_Omsg))),tc_Message_Omsg),X5,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(resolution,[],[f107,f25]) ).

fof(f273,plain,
    ( spl0_36
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f113,f106,f87,f271]) ).

fof(f113,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1 )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f110]) ).

fof(f110,plain,
    ( ! [X2,X1] :
        ( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_set(tc_Message_Omsg))
        | c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) = X1
        | c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_Message_Osynth(X2)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(resolution,[],[f107,f88]) ).

fof(f269,plain,
    ( spl0_35
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f256,f245,f32,f267]) ).

fof(f256,plain,
    ( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f248]) ).

fof(f248,plain,
    ( ! [X0] :
        ( c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X0))),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(resolution,[],[f246,f33]) ).

fof(f260,plain,
    ( spl0_34
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f130,f124,f44,f258]) ).

fof(f130,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
        | c_in(X3,X1,X2)
        | ~ c_in(X3,c_insert(X0,X1,X2),X2) )
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(resolution,[],[f125,f45]) ).

fof(f247,plain,
    ( spl0_33
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f112,f106,f20,f245]) ).

fof(f112,plain,
    ( ! [X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(c_Message_Osynth(c_Message_Osynth(X7))),tc_Message_Omsg),X7,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(resolution,[],[f107,f21]) ).

fof(f232,plain,
    ( spl0_32
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f127,f120,f20,f230]) ).

fof(f127,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(resolution,[],[f121,f21]) ).

fof(f221,plain,
    ( spl0_31
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f104,f100,f69,f219]) ).

fof(f104,plain,
    ( ! [X6,X4,X5] :
        ( ~ c_in(X4,c_Message_Osynth(X5),tc_Message_Omsg)
        | c_in(X4,c_Message_Osynth(c_insert(X6,X5,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f101,f70]) ).

fof(f215,plain,
    ( spl0_30
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f175,f167,f32,f213]) ).

fof(f175,plain,
    ( ! [X2,X3,X0,X1] : c_lessequals(X0,c_insert(X1,c_insert(X2,X0,X3),X3),tc_set(X3))
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ( ! [X2,X3,X0,X1] :
        ( c_lessequals(X0,c_insert(X1,c_insert(X2,X0,X3),X3),tc_set(X3))
        | c_lessequals(X0,c_insert(X1,c_insert(X2,X0,X3),X3),tc_set(X3)) )
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(resolution,[],[f168,f33]) ).

fof(f211,plain,
    ( spl0_29
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f159,f116,f44,f209]) ).

fof(f159,plain,
    ( ! [X2,X3] :
        ( c_in(X2,c_Message_Osynth(c_Message_Osynth(X3)),tc_Message_Omsg)
        | ~ c_in(X2,X3,tc_Message_Omsg) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f117,f45]) ).

fof(f203,plain,
    ( spl0_28
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f157,f143,f32,f201]) ).

fof(f157,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_insert(X1,c_Message_Osynth(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(resolution,[],[f144,f33]) ).

fof(f199,plain,
    ( spl0_27
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f151,f139,f32,f197]) ).

fof(f151,plain,
    ( ! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(resolution,[],[f140,f33]) ).

fof(f179,plain,
    ( spl0_26
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f93,f87,f49,f177]) ).

fof(f93,plain,
    ( ! [X10,X11,X9,X12,X13] :
        ( c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X9
        | c_lessequals(c_insert(X9,c_insert(X10,X11,X12),X12),X13,tc_set(X12))
        | c_in(c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12),X11,X12)
        | c_Main_OsubsetI__1(c_insert(X9,c_insert(X10,X11,X12),X12),X13,X12) = X10 )
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(resolution,[],[f88,f50]) ).

fof(f169,plain,
    ( spl0_25
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f83,f79,f24,f167]) ).

fof(f83,plain,
    ( ! [X3,X6,X7,X4,X5] :
        ( c_lessequals(X3,c_insert(X4,c_insert(X5,X6,X7),X7),tc_set(X7))
        | ~ c_in(c_Main_OsubsetI__1(X3,c_insert(X4,c_insert(X5,X6,X7),X7),X7),X6,X7) )
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(resolution,[],[f80,f25]) ).

fof(f163,plain,
    ( spl0_24
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f94,f87,f79,f161]) ).

fof(f94,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,X6,X7),X7) = X5
        | c_lessequals(c_insert(X5,X6,X7),c_insert(X8,X6,X7),tc_set(X7)) )
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ( ! [X8,X6,X7,X5] :
        ( c_Main_OsubsetI__1(c_insert(X5,X6,X7),c_insert(X8,X6,X7),X7) = X5
        | c_lessequals(c_insert(X5,X6,X7),c_insert(X8,X6,X7),tc_set(X7))
        | c_lessequals(c_insert(X5,X6,X7),c_insert(X8,X6,X7),tc_set(X7)) )
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(resolution,[],[f88,f80]) ).

fof(f145,plain,
    ( spl0_23
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f84,f79,f20,f143]) ).

fof(f84,plain,
    ( ! [X10,X8,X9] :
        ( c_lessequals(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X8,c_insert(X9,c_Message_Osynth(X10),tc_Message_Omsg),tc_Message_Omsg),X10,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(resolution,[],[f80,f21]) ).

fof(f141,plain,
    ( spl0_22
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f65,f61,f24,f139]) ).

fof(f65,plain,
    ( ! [X2,X3,X1] :
        ( c_lessequals(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X3,tc_Message_Omsg) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(resolution,[],[f62,f25]) ).

fof(f135,plain,
    ( spl0_21
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f95,f87,f61,f133]) ).

fof(f95,plain,
    ( ! [X3,X4] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f91]) ).

fof(f91,plain,
    ( ! [X3,X4] :
        ( c_Main_OsubsetI__1(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_Message_Omsg) = X3
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg))
        | c_lessequals(c_insert(X3,X4,tc_Message_Omsg),c_Message_Osynth(X4),tc_set(tc_Message_Omsg)) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f88,f62]) ).

fof(f126,plain,
    ( spl0_20
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f96,f87,f36,f124]) ).

fof(f96,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
        | c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f90]) ).

fof(f90,plain,
    ( ! [X2,X0,X1] :
        ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
        | c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
        | c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(resolution,[],[f88,f37]) ).

fof(f122,plain,
    ( spl0_19
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f76,f69,f28,f120]) ).

fof(f76,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
        | c_in(X0,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
        | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(resolution,[],[f70,f29]) ).

fof(f118,plain,
    ( spl0_18
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f114,f106,f32,f116]) ).

fof(f114,plain,
    ( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f109]) ).

fof(f109,plain,
    ( ! [X0] :
        ( c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(resolution,[],[f107,f33]) ).

fof(f108,plain,
    ( spl0_17
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f66,f61,f20,f106]) ).

fof(f66,plain,
    ( ! [X4,X5] :
        ( c_lessequals(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X4,c_Message_Osynth(c_Message_Osynth(X5)),tc_Message_Omsg),X5,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(resolution,[],[f62,f21]) ).

fof(f102,plain,
    ( spl0_16
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f85,f79,f32,f100]) ).

fof(f85,plain,
    ( ! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] :
        ( c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))
        | c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f80,f33]) ).

fof(f89,plain,
    ( spl0_15
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f54,f49,f32,f87]) ).

fof(f54,plain,
    ( ! [X10,X8,X9,X7] :
        ( c_in(c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9),X8,X9)
        | c_Main_OsubsetI__1(c_insert(X7,X8,X9),X10,X9) = X7
        | c_lessequals(c_insert(X7,X8,X9),X10,tc_set(X9)) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(resolution,[],[f50,f33]) ).

fof(f81,plain,
    ( spl0_14
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f40,f36,f24,f79]) ).

fof(f40,plain,
    ( ! [X2,X3,X4,X5] :
        ( c_lessequals(X2,c_insert(X3,X4,X5),tc_set(X5))
        | ~ c_in(c_Main_OsubsetI__1(X2,c_insert(X3,X4,X5),X5),X4,X5) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(resolution,[],[f37,f25]) ).

fof(f75,plain,
    ( spl0_13
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f67,f61,f32,f73]) ).

fof(f73,plain,
    ( spl0_13
  <=> ! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f67,plain,
    ( ! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ( ! [X0] :
        ( c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
        | c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) )
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(resolution,[],[f62,f33]) ).

fof(f71,plain,
    ( spl0_12
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f47,f44,f28,f69]) ).

fof(f47,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
        | ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f45,f29]) ).

fof(f63,plain,
    ( spl0_11
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f41,f36,f20,f61]) ).

fof(f41,plain,
    ( ! [X6,X7] :
        ( c_lessequals(X6,c_Message_Osynth(X7),tc_set(tc_Message_Omsg))
        | ~ c_in(c_Main_OsubsetI__1(X6,c_Message_Osynth(X7),tc_Message_Omsg),X7,tc_Message_Omsg) )
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(resolution,[],[f37,f21]) ).

fof(f58,plain,
    ( spl0_10
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f42,f36,f32,f56]) ).

fof(f56,plain,
    ( spl0_10
  <=> ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f42,plain,
    ( ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ( ! [X0,X1] :
        ( c_lessequals(X0,X0,tc_set(X1))
        | c_lessequals(X0,X0,tc_set(X1)) )
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(resolution,[],[f37,f33]) ).

fof(f51,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f5,f49]) ).

fof(f5,axiom,
    ! [X3,X8,X6,X5] :
      ( X3 = X6
      | c_in(X3,X8,X5)
      | ~ c_in(X3,c_insert(X6,X8,X5),X5) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OinsertE_0) ).

fof(f46,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f6,f44]) ).

fof(f6,axiom,
    ! [X8,X9,X4,X5] :
      ( ~ c_in(X9,X8,X5)
      | c_in(X9,X4,X5)
      | ~ c_lessequals(X8,X4,tc_set(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OsubsetD_0) ).

fof(f38,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f8,f36]) ).

fof(f8,axiom,
    ! [X8,X4,X5] :
      ( c_lessequals(X8,X4,tc_set(X5))
      | ~ c_in(c_Main_OsubsetI__1(X8,X4,X5),X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OsubsetI_1) ).

fof(f34,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f7,f32]) ).

fof(f7,axiom,
    ! [X8,X4,X5] :
      ( c_lessequals(X8,X4,tc_set(X5))
      | c_in(c_Main_OsubsetI__1(X8,X4,X5),X8,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OsubsetI_0) ).

fof(f30,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f2,f28]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Message_Osynth__mono_0) ).

fof(f26,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f3,f24]) ).

fof(f3,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,X4,X5)
      | c_in(X3,c_insert(X6,X4,X5),X5) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OinsertCI_0) ).

fof(f22,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f1,f20]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Message_Osynth_OInj_0) ).

fof(f18,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f4,f16]) ).

fof(f4,axiom,
    ! [X7,X4,X5] : c_in(X7,c_insert(X7,X4,X5),X5),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_Set_OinsertCI_1) ).

fof(f14,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f9,f11]) ).

fof(f9,axiom,
    ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.Zrkr4kziK2/Vampire---4.8_10680',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.10  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Wed Aug 30 17:38:47 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.33  % (10922)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.33  % (10966)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.33  % (10968)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.33  % (10967)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.33  % (10965)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.33  % (10969)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.33  % (10971)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.33  TRYING [1]
% 0.14/0.33  TRYING [2]
% 0.14/0.33  % (10972)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.33  TRYING [3]
% 0.14/0.33  TRYING [1]
% 0.14/0.33  TRYING [2]
% 0.14/0.33  TRYING [4]
% 0.14/0.34  TRYING [3]
% 0.14/0.34  TRYING [5]
% 0.14/0.35  TRYING [6]
% 0.14/0.36  TRYING [7]
% 0.14/0.37  TRYING [4]
% 0.14/0.39  TRYING [8]
% 0.14/0.41  TRYING [9]
% 0.14/0.45  TRYING [10]
% 0.14/0.51  TRYING [11]
% 1.60/0.59  TRYING [12]
% 3.24/0.80  TRYING [13]
% 4.20/0.93  TRYING [5]
% 7.23/1.39  TRYING [14]
% 7.70/1.43  TRYING [1]
% 7.70/1.43  TRYING [2]
% 7.70/1.43  TRYING [3]
% 7.70/1.43  TRYING [4]
% 7.70/1.44  TRYING [5]
% 7.70/1.45  TRYING [6]
% 8.02/1.48  TRYING [7]
% 8.02/1.54  TRYING [8]
% 9.30/1.68  TRYING [9]
% 9.78/1.76  TRYING [15]
% 9.78/1.80  TRYING [10]
% 10.36/1.91  TRYING [11]
% 11.95/2.05  TRYING [12]
% 13.49/2.27  TRYING [16]
% 13.49/2.33  TRYING [13]
% 15.89/2.63  TRYING [14]
% 18.36/2.96  % (10969)First to succeed.
% 18.36/3.03  % (10969)Refutation found. Thanks to Tanya!
% 18.36/3.03  % SZS status Unsatisfiable for Vampire---4
% 18.36/3.03  % SZS output start Proof for Vampire---4
% See solution above
% 18.96/3.05  % (10969)------------------------------
% 18.96/3.05  % (10969)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 18.96/3.05  % (10969)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 18.96/3.05  % (10969)Termination reason: Refutation
% 18.96/3.05  
% 18.96/3.05  % (10969)Memory used [KB]: 31214
% 18.96/3.05  % (10969)Time elapsed: 2.693 s
% 18.96/3.05  % (10969)------------------------------
% 18.96/3.05  % (10969)------------------------------
% 18.96/3.05  % (10922)Success in time 2.742 s
% 18.96/3.05  % Vampire---4.8 exiting
%------------------------------------------------------------------------------